 1/21*x**3. Let j(r) be the second derivative of w(r). Factor j(c).
2*(c + 1)**2/7
Let k(u) = 22*u**4 + 119*u**3 + 150*u**2 + 16*u - 37. Let h(o) = 33*o**4 + 179*o**3 + 225*o**2 + 24*o - 55. Let n(z) = 5*h(z) - 7*k(z). Factor n(q).
(q + 1)**2*(q + 4)*(11*q - 4)
Let v be ((-2 + 4)/(-4))/(-1). Suppose 2*l + 13 - 27 = -5*w, -3*w + 4*l - 2 = 0. Factor 1/8*s**3 + 5/8*s**w + s + v.
(s + 1)*(s + 2)**2/8
Let c(s) be the third derivative of -1/10*s**5 + 0 + 0*s + 1/120*s**6 - 1/6*s**4 + 1/210*s**7 - 4*s**2 + 4/3*s**3. Factor c(r).
(r - 2)*(r - 1)*(r + 2)**2
Let q(c) = c**3 - c**2 + 5. Let x be q(0). Suppose x*z - 18 = -2*g - 0*g, 2*z = -g + 8. Factor -5*y - 2*y**4 - 6*y**2 + 6*y**3 + 5*y - z*y + 4*y.
-2*y*(y - 1)**3
Let f(m) be the first derivative of 7*m**6/6 - 2*m**5 - 9*m**4 + 40*m**3/3 + 16*m**2 + 203. Let f(r) = 0. What is r?
-2, -4/7, 0, 2
Solve 12/5*z + 2/5*z**2 + 0 = 0 for z.
-6, 0
Let i(j) = -4*j**2 - 18. Let h(l) = 6*l**2 + 18. Let w(d) = -3*h(d) - 4*i(d). Find z such that w(z) = 0.
-3, 3
Factor 116/3*r - r**3 + 172/3*r**2 + 0.
-r*(r - 58)*(3*r + 2)/3
Suppose 0*i**4 - 15*i**2 + 3*i**4 + 2046 - 2034 = 0. What is i?
-2, -1, 1, 2
Let x(q) be the first derivative of -3*q**4/2 + q**3 - 1. Let t(v) = 7*v**3 - 3*v**2. Let u be 32/12*3/(-2). Let w(l) = u*x(l) - 3*t(l). Factor w(p).
3*p**2*(p - 1)
Let r(t) be the second derivative of 32*t**7/21 - 856*t**6/15 + 3019*t**5/5 - 8425*t**4/12 + 1027*t**3/3 - 169*t**2/2 + 30*t. Factor r(x).
(x - 13)**2*(4*x - 1)**3
Let s(g) be the second derivative of g**4/3 - 64*g**3/3 - 66*g**2 - 77*g - 2. Factor s(x).
4*(x - 33)*(x + 1)
Let r be (-8 - -17)/(3/10). Factor -r*u**2 + 30*u**3 - 15*u**4 - 3 + 21*u - 6*u + 5*u**5 - 2*u**5.
3*(u - 1)**5
Suppose 0 = 3*x + 6, -5*x + 5 = 3*k + 15. Factor -8/3*w**2 - 2/3*w**3 + k - 2*w.
-2*w*(w + 1)*(w + 3)/3
Let i(p) be the third derivative of p**8/84 - 4*p**7/35 + 11*p**6/30 - 2*p**5/5 + 19*p**2 + 2*p. Suppose i(z) = 0. What is z?
0, 1, 2, 3
Let x = 5716 - 5714. Determine n so that 0*n**3 + 8/11 + 0*n - 10/11*n**x + 2/11*n**4 = 0.
-2, -1, 1, 2
Let b(a) = -2*a - 1. Let u(c) = 2*c**2 + 10*c + 5. Let p(s) = -5*b(s) - u(s). Find y, given that p(y) = 0.
0
Factor -3/5*t**5 - 18/5*t**4 - 36/5*t**2 - 39/5*t**3 + 0 - 12/5*t.
-3*t*(t + 1)**2*(t + 2)**2/5
Let g = 222 + -216. Let p(c) be the second derivative of 5/2*c**4 + 3/2*c**3 + 0*c**2 + 2/5*c**g + 33/20*c**5 + 0 + c. Suppose p(t) = 0. Calculate t.
-1, -3/4, 0
Let z(s) be the third derivative of 2*s**2 + 0*s + 1/1020*s**6 + 0 - 64/51*s**3 - 2/85*s**5 + 4/17*s**4. Factor z(f).
2*(f - 4)**3/17
Let t(y) be the first derivative of -1/2*y**3 - 1/4*y**4 + 0*y**2 + 2*y - 6. Let d(v) be the first derivative of t(v). Determine z so that d(z) = 0.
-1, 0
Let s be (-5)/(0 - (-5 + 6)). Suppose 5*o - 22 - 1 = -a, 3*a + s*o = 29. Factor -2/3*b**2 + 0 + 2/3*b**a + 0*b - 2/3*b**5 + 2/3*b**4.
-2*b**2*(b - 1)**2*(b + 1)/3
Let t(q) = -q**4 + 8*q**2 - 4*q - 20. Let h(g) = -2*g**4 - 7*g + 237*g**2 - 221*g**2 - 28 + 0*g**4 - 11. Let u(w) = -4*h(w) + 7*t(w). What is n in u(n) = 0?
-2, 2
Suppose -4*d = -6*d + 8. Suppose 8 = d*a - 4. Suppose 4*m**3 + 2 + 6*m**2 - a*m**3 - m**4 - 4 - 3*m**2 - m = 0. Calculate m.
-1, 1, 2
Let w(y) be the first derivative of 2*y**3 + 0*y - 3/4*y**4 - 3/2*y**2 + 48. Factor w(d).
-3*d*(d - 1)**2
Let l(f) be the first derivative of 9*f**4/7 + 64*f**3/21 - 8*f**2/7 - 161. Factor l(o).
4*o*(o + 2)*(9*o - 2)/7
Factor 4/5*r**2 - 68/5*r - 152/5.
4*(r - 19)*(r + 2)/5
Let t(k) = k**4 - k**3 + 2*k**2 + k - 1. Let w(g) = -4*g**4 - 7*g**2 + 5. Let u(j) = 3*t(j) + w(j). Factor u(n).
-(n - 1)*(n + 1)**2*(n + 2)
Let i(g) be the first derivative of -2*g**5/75 + g**4/30 + 175. Determine x, given that i(x) = 0.
0, 1
Let i(s) be the first derivative of -s**7/5040 + s**6/540 - s**5/144 + s**4/72 - s**3/3 - s**2 + 55. Let k(o) be the third derivative of i(o). Factor k(b).
-(b - 2)*(b - 1)**2/6
Suppose -4*d + 4 = 2*k, -2*k + 4 = -d - 5*k. Suppose -2*l - 4 = -5*x, l + d = 4*x - l. Let -x*c + 2*c + 3*c**3 = 0. Calculate c.
0
Let c(q) be the third derivative of -2*q**7/105 + q**6/15 - q**4/3 + 2*q**3/3 - 3*q**2 + 1. Factor c(l).
-4*(l - 1)**3*(l + 1)
Let 10 - 11 - 147*o**2 - 168*o - 21 + 8*o**3 - 35*o**3 - 26 = 0. What is o?
-4, -1, -4/9
Let t(f) be the third derivative of -f**7/70 - 51*f**6/40 - 135*f**5/4 - 625*f**4/8 - 13*f**2. Determine x so that t(x) = 0.
-25, -1, 0
Let o = 343/143 + -23/11. Suppose 0 = -17*i + 12*i + 10. Factor -2/13*y**i - 2/13 + o*y.
-2*(y - 1)**2/13
Suppose 8*q = 13*q - 4*p - 12, 3*p = 2*q - 2. Factor -8*c**2 + 16*c + 10 + 0*c**3 - q*c**3 + 10 + 12.
-4*(c - 2)*(c + 2)**2
Let s(z) = -15*z**3 + 174*z**2 + 348*z + 132. Let a(k) = -2*k**3 + k - 4. Let y(m) = 9*a(m) - s(m). Suppose y(c) = 0. Calculate c.
-56, -1
Determine n so that 14/3*n**3 + 0 + 20/3*n**2 + 2/3*n**4 + 0*n = 0.
-5, -2, 0
Let y(x) be the first derivative of 5*x**4/4 - 55*x**3 + 1815*x**2/2 - 6655*x + 29. Factor y(k).
5*(k - 11)**3
Suppose -37*s + 40 = -34 - 0. Solve 2/9*k**s + 18 + 4*k = 0.
-9
Let f be (884/(-1560))/(2 + 54/(-28)). Let t = f - -25/3. Determine i so that i - 4/5*i**3 - 2/5*i**2 - t - 1/5*i**5 + 4/5*i**4 = 0.
-1, 1, 2
Let w(r) be the first derivative of -r**4/16 - r**3/2 + 8*r + 29. Factor w(x).
-(x - 2)*(x + 4)**2/4
Let m(y) = -2*y**2 + 14*y - 7. Let u be m(6). Suppose -6*h**4 - 8 + u*h + 36*h**2 + 4*h**3 + 7*h + 0*h**3 - 6*h**4 = 0. Calculate h.
-1, 1/3, 2
Let v(g) be the third derivative of -1/270*g**5 + 34*g**2 - 169/27*g**3 + 0*g + 13/54*g**4 + 0. Suppose v(b) = 0. What is b?
13
Let h be (-29)/((-2958)/884) - (7 - -1)*1. Find m such that -1/3*m**3 + h*m**2 + 5/3*m - 2 = 0.
-2, 1, 3
Let q(a) be the second derivative of a**7/42 + a**6/20 - a**4/24 - 275*a. Determine l so that q(l) = 0.
-1, 0, 1/2
Suppose -182 - 18 = 5*i. Let y be (30/i)/(18/(-16)). What is b in y*b**2 - 4/3*b + 0 = 0?
0, 2
Let n be 1 + (1 - (-10)/(-6)). Let k(x) = x**3 + 6*x**2 + 6*x + 5. Let h be k(-5). Determine q so that 0*q + h - n*q**2 = 0.
0
Let n(x) be the third derivative of -x**7/105 + x**5/5 - 2*x**4/3 + x**3 + 26*x**2 - 2*x. Solve n(m) = 0 for m.
-3, 1
Let m = -20/33 + 73/66. Let k(q) be the first derivative of 11/15*q**3 - 2/5*q + 1/5*q**4 + m*q**2 + 1. Determine x so that k(x) = 0.
-2, -1, 1/4
Let q(z) be the second derivative of -z**6/10 + 21*z**5/10 - 13*z**4/4 - 126*z**3 - 486*z**2 - 22*z + 5. Solve q(c) = 0.
-2, 9
Let k**3 - 2*k + 3*k**2 - 2*k - 2*k**3 + 22*k = 0. Calculate k.
-3, 0, 6
Let j(k) be the first derivative of -8/7*k - 6/7*k**2 + 3/28*k**4 - 2/21*k**3 + 2 + 1/35*k**5. Let j(i) = 0. What is i?
-2, -1, 2
Let r(k) be the third derivative of k**7/7560 + 5*k**4/8 - 8*k**2. Let y(a) be the second derivative of r(a). Factor y(d).
d**2/3
Let s be (-5)/(-3) - 28/42 - -6. Let 32*b**2 - s - 29*b + 28*b**2 - 64*b**2 = 0. What is b?
-7, -1/4
Let j be (1 - -1 - 2)/(-1). Factor -2*d - 4*d - 4 - 2*d**2 + j*d**2.
-2*(d + 1)*(d + 2)
Let p(o) be the second derivative of o**6/30 - 3*o**5/20 - 35*o**4/12 + 25*o**3/2 + 125*o**2 + 58*o. Find w, given that p(w) = 0.
-5, -2, 5
Suppose 2*j + 3*p = 6*j - 457, -p = 4*j - 445. Let f = -108 + j. Factor -1/2*t**5 + 2*t**2 + 0*t - 3/2*t**f + 0*t**3 + 0.
-t**2*(t - 1)*(t + 2)**2/2
Let z be (-145)/7 + 14/(-49). Let n = -9 - z. Factor v - 11 + v - 2*v**3 + n - v**4.
-(v - 1)*(v + 1)**3
Let g be (4 + (-46)/10)*((-8 - -2) + 4). Suppose 2/3 + 2/15*t**3 + 2/5*t**2 - g*t = 0. What is t?
-5, 1
Let v(p) be the first derivative of 10*p**3/33 + 163*p**2/11 - 12*p - 8. Solve v(k) = 0.
-33, 2/5
Let d be (2 + 7)/(-3) + 7. Let w be (((-2)/d)/(-1) - 0)*4. Suppose -1/2*f**2 - 2*f - w = 0. Calculate f.
-2
Find j such that -3/5*j**5 + 0 + 132/5*j**4 + 372/5*j**2 - 123/5*j - 378/5*j**3 = 0.
0, 1, 41
Let b(c) be the first derivative of -c**4/26 + 62*c**3/39 + 5*c**2 + 66*c/13 - 161. Find z such that b(z) = 0.
-1, 33
Suppose 9 = -0*q + 3*q, 0 = -p - 3*q + 9. Let t be 4 + 1*(p + -2 - 0). Determine k, given that -1/2 + 1/4*k**t + 1/4*k = 0.
-2, 1
Suppose -94/15*v**2 + 0 + 2/15*v**4 - 16/5*v - 44/15*v**3 = 0. Calculate v.
-1, 0, 24
Let g = 28 - 23. Let v = 17/3 - g. Factor v*q**2 - 1/3*q**5 - q**4 + 1/3 + q - 2/3*q**3.
-(q - 1)*(q + 1)**4/3
Let x = -131/5 + 529/20. Let h(z) be the first derivative of -x*z - 1/12*z**3 - 5 + 1/4*z**2. Let h(o) = 0. What is o?
1
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