0 - 57/(-15). Let k(f) be the first derivative of -16*f**3/3 - 3*f**2 - f - 5. Let a(r) = h*k(r) - 22*q(r). Factor a(p).
2*(p - 2)*(p + 1)
Let c be 4/(-17)*(-10 + 133/14). Solve 2/17*g**2 + c - 4/17*g = 0 for g.
1
Let w(v) be the second derivative of -v**5/90 - 10*v**4/27 + 7*v**3/9 - 23*v - 2. Factor w(h).
-2*h*(h - 1)*(h + 21)/9
Suppose 5*j = -4*j + 45. Let g(m) be the first derivative of -3/5*m**j + m**3 + 0*m**2 + 0*m**4 + 0*m + 1. Factor g(x).
-3*x**2*(x - 1)*(x + 1)
Let h(q) be the first derivative of 3/5*q**5 + 13 - q**3 + 0*q**2 + 0*q**4 + 0*q. Determine a, given that h(a) = 0.
-1, 0, 1
Find p such that 34/15*p**2 - 8/5 + 6/5*p**4 + 76/15*p**3 - 104/15*p = 0.
-3, -2, -2/9, 1
Let f be (-49)/(-96) - 11*10/220. Let n(m) be the third derivative of 0 + f*m**4 + 1/12*m**3 + 0*m - 1/240*m**5 - 9*m**2. Suppose n(l) = 0. Calculate l.
-1, 2
Factor 0 - 1/2*b**2 - 7*b.
-b*(b + 14)/2
Let t(a) be the second derivative of 0*a**2 + 1/2*a**3 + 2*a + 1/120*a**5 + 0*a**4 + 1/360*a**6 + 0. Let v(o) be the second derivative of t(o). Factor v(c).
c*(c + 1)
Find c, given that -3*c - 36 + 3/2*c**2 = 0.
-4, 6
Let t(q) = q**3 + 58*q**2 + 480*q + 4. Let s be t(-48). Determine c, given that -133/4*c**3 + 25*c + 45/4*c**5 + 33/2*c**2 - 51/2*c**s + 6 = 0.
-2/3, -2/5, 1, 3
Let m(y) be the second derivative of 25*y**7/84 + 7*y**6/24 - 127*y**5/80 + 11*y**4/24 + 7*y**3/6 - y**2 + 2*y + 232. Find a such that m(a) = 0.
-2, -1/2, 2/5, 1
Let j(u) be the third derivative of u**5/90 + 7*u**4/36 + 4*u**3/3 + 82*u**2. Factor j(y).
2*(y + 3)*(y + 4)/3
Let z(h) be the second derivative of h**6/45 + h**5/10 - 2*h**4/9 - 4*h**3/3 - 2*h + 41. Determine v, given that z(v) = 0.
-3, -2, 0, 2
Let b(p) = 88*p**2 - p - 3. Let t be b(-1). Factor 84*f**2 + 588*f + 648 + t + 638 + 4*f**3.
4*(f + 7)**3
Let m be 54/252 + (-53)/280. Let y(a) be the third derivative of 0*a - 6*a**2 - 1/2*a**4 + 4*a**3 + 0 + m*a**6 - 1/10*a**5. Factor y(t).
3*(t - 2)**2*(t + 2)
Let r(l) = 2*l + 137. Let f be r(-66). Let c(t) be the third derivative of 1/120*t**6 - 8*t**2 + 0 - 1/24*t**4 + 0*t - 1/60*t**f + 1/6*t**3. Factor c(i).
(i - 1)**2*(i + 1)
Let c(h) = 12*h**4 + 12*h**3 - 36*h**2 - 4*h. Let g(v) = -2*v**4 - v**3 + 2*v - 1. Let k(d) = -c(d) + 8*g(d). Let k(a) = 0. Calculate a.
-1, 2/7, 1
Let x be (47/13 - -3) + -7 + 1. Factor x*c + 2/13*c**2 + 8/13.
2*(c + 2)**2/13
Let i(z) be the second derivative of -z**4/60 + 4*z**3/15 - 7*z**2/10 - 29*z - 2. Factor i(k).
-(k - 7)*(k - 1)/5
Let w(r) be the second derivative of -2*r**7/189 - 2*r**6/15 - 29*r**5/45 - 43*r**4/27 - 20*r**3/9 - 16*r**2/9 - r - 6. Find n, given that w(n) = 0.
-4, -2, -1
Let r(y) = y**2 + 9*y + 10. Let t be r(-8). Determine d so that d**2 + 2*d - 4*d**2 + 6*d**2 - t*d**2 = 0.
-2, 0
Let r(x) be the first derivative of x**4/16 + 5*x**3/6 + 23*x**2/8 + 7*x/2 + 479. Find d, given that r(d) = 0.
-7, -2, -1
Let 395/6*o + 145/6*o**3 - 135/2*o**2 - 65/3 - 5/6*o**4 = 0. Calculate o.
1, 26
Let 16*r**2 - 6*r**2 + 5*r**3 + 9*r + 4*r - 8*r = 0. What is r?
-1, 0
Let l(f) = -25*f**5 + 34*f**4 - 16*f**3 - 2*f + 2. Let i(q) = 24*q**5 - 33*q**4 + 18*q**3 + 3*q - 3. Let j(c) = 2*i(c) + 3*l(c). Factor j(z).
-3*z**3*(3*z - 2)**2
Let l(f) be the second derivative of -f**8/23520 - f**7/2940 - f**6/1260 - 5*f**4/3 + 18*f. Let u(h) be the third derivative of l(h). Factor u(y).
-2*y*(y + 1)*(y + 2)/7
Let b = 38/507 + 40/507. Solve -4/13*p - b*p**2 + 6/13 = 0 for p.
-3, 1
Let h(z) be the first derivative of -z**3/15 + 49*z**2/10 + 10*z - 702. Factor h(w).
-(w - 50)*(w + 1)/5
Let g(a) = -a - 8. Suppose i + 38 = -4*z - i, -3*z - 46 = -2*i. Let o be g(z). Factor 3/4*k - 3/4 + 3/2*k**2 + 3/4*k**5 - 3/2*k**3 - 3/4*k**o.
3*(k - 1)**3*(k + 1)**2/4
Find q such that 304 + 501*q**3 - 42*q**2 + 149 + 1176*q**2 + 1068*q - 3*q**5 + 72*q**4 - 93 = 0.
-2, -1, 30
Let 2489 - 124*l - 1233 - 4*l**2 - 1128 = 0. Calculate l.
-32, 1
Suppose 8*g = 3*g + 35. Find c such that 9*c**4 + g*c**3 - c**3 + 4*c - 4*c**4 - 12*c**2 - 3*c**3 = 0.
-2, 0, 2/5, 1
Let b be 2*(2 - (-6 + 7)). Let z(x) be the first derivative of 0*x - 4 - 1/6*x**3 + 1/16*x**4 + 1/8*x**b. Factor z(k).
k*(k - 1)**2/4
Suppose 0 = -2*h - 5*s - 1, -3*h = -3*s + s - 8. Let -29*v**2 + 8*v + 64*v**2 - 31*v**h = 0. Calculate v.
-2, 0
Suppose 4*u - 3*a + 4 = 0, 24*u - 22*u = 4*a - 12. Factor 8/9 + 50*i**u - 40/3*i.
2*(15*i - 2)**2/9
Let v(b) = -b**2 + 3*b + 13. Let w be v(5). Determine z, given that 0*z**2 + z**3 + 2*z**2 - z**4 + z**3 - w*z**2 = 0.
0, 1
Suppose -3*s - 3*o = 0, -5*o - 6 = 4*s - 2*s. Determine p, given that -p**2 + 5*p - 12*p**3 - p + 8*p + 3 - 2*p**s = 0.
-1, -1/4, 1
Let o(a) be the second derivative of a**4/28 - 25*a**3/7 + 1875*a**2/14 - 3*a - 14. Factor o(g).
3*(g - 25)**2/7
Suppose 29*l = 32*l - 24. Suppose -p - 28 = -l*p. Let 2/7*d**5 + 0 + 0*d - 2/7*d**2 - 2/7*d**3 + 2/7*d**p = 0. Calculate d.
-1, 0, 1
Let h = 39 - 41. Let u be (-209)/57 - h/(-6) - -6. Solve 3/5*s**u - 3/5*s + 3/5*s**3 - 3/5 = 0 for s.
-1, 1
Suppose -51*l + 16 = -49*l. What is w in -5 + l*w**2 - 4*w**4 + 9 - 8 = 0?
-1, 1
Let z be ((-54)/(-36))/((-3)/(-4)). Factor -4*c**z + 2*c**2 + 3*c**2 + 0 + 25 + 10*c.
(c + 5)**2
Let u(t) be the second derivative of t**6/360 + t**5/200 - t**4/60 - 4*t**3/3 + 2*t. Let s(i) be the second derivative of u(i). Suppose s(h) = 0. What is h?
-1, 2/5
Let b = 233/7 - 33. Let m(w) be the first derivative of 0*w - 4/7*w**4 - 1/21*w**6 + 0*w**2 + b*w**5 - 9 + 8/21*w**3. Find s, given that m(s) = 0.
0, 1, 2
Suppose -30*s = -9*s - 42. Solve -1/2*z**2 - 2 + s*z = 0.
2
Let x(d) = -d**2 + 9*d + 9. Let s be x(9). Let l(a) = -a**2 + 8*a + 13. Let p be l(s). Factor 0*j + 12*j**3 - p + 4*j**2 - 12*j + 0*j**2.
4*(j - 1)*(j + 1)*(3*j + 1)
Let b(g) be the second derivative of g**6/135 - g**5/6 + 23*g**4/27 + 32*g**3/9 - 128*g**2/9 + g + 24. Factor b(j).
2*(j - 8)**2*(j - 1)*(j + 2)/9
Factor 14*q**2 - q**2 + 12*q**2 - 10 + 133*q + 2*q**2.
(q + 5)*(27*q - 2)
Let n(p) = p**2 + p - 1. Let h(y) be the third derivative of -y**5/60 - 11*y**4/24 - 2*y**3/3 + 2*y**2. Let q(w) = -h(w) - 6*n(w). Let q(u) = 0. What is u?
-1, 2
Suppose -13 = -s - 5*t, 0 = -122*s + 119*s + 5*t - 1. Factor 2/5*r**4 - 8/5 - 8/5*r + 6/5*r**2 + 8/5*r**s.
2*(r - 1)*(r + 1)*(r + 2)**2/5
Let g(w) = -4*w. Let k be g(-1). Suppose -8*z - 7 + 0 - k*z**2 + 2 + 1 = 0. Calculate z.
-1
Suppose 6*b - 4*g = 3*b + 12, -4*b + 16 = -2*g. Suppose r + 15 = b*y, -2*y + 0*r = -r - 5. Suppose -24*i**5 - 27*i**4 - 4*i**y - 2*i**5 - 6*i**3 = 0. What is i?
-1/2, -2/5, 0
Factor -2/3*y**4 + 1/6*y**5 + 0*y + 0 + 0*y**3 + 0*y**2.
y**4*(y - 4)/6
Let d = -159 - -163. Let q(s) be the first derivative of -1/6*s**2 - 1/6*s**6 + 2/3*s**5 + 0*s - s**d + 4 + 2/3*s**3. Factor q(b).
-b*(b - 1)**3*(3*b - 1)/3
Solve 46/13*i - 44/13 - 2/13*i**2 = 0.
1, 22
Let f = 809 - 806. Let p(r) be the third derivative of 0 + 2*r**2 + 0*r + 0*r**4 + 1/60*r**5 + 0*r**f. Factor p(v).
v**2
Let x be ((-3)/(-33))/(1259/(-55) + 23). Let x + v + 1/6*v**2 = 0. What is v?
-5, -1
Let s(l) = -l**3 + l. Let g(q) be the first derivative of -5 + 4*q**4 + 7/5*q**5 - 11/2*q**2 + 0*q - 2/3*q**3. Let m(w) = -2*g(w) - 22*s(w). Factor m(k).
-2*k**2*(k + 1)*(7*k - 2)
Let c(q) be the third derivative of -q**6/180 - 14*q**5/45 - 53*q**4/36 - 26*q**3/9 + 18*q**2 + 6. Determine v, given that c(v) = 0.
-26, -1
Factor 220*x**4 - 224*x**4 - 4*x**3 + 3*x**2 + 4*x**5 + x**2.
4*x**2*(x - 1)**2*(x + 1)
Solve 33*z + 4*z**2 - 45*z + 40*z - 32 = 0.
-8, 1
Let y(b) = -b**3 + b - 1. Let l be (-450)/(-55) - (-6)/(-33). Let q(f) = 4*f**3 - 4*f**2 + 8*f + 24. Let p(i) = l*y(i) + q(i). Solve p(v) = 0.
-2, -1, 2
Let r(j) be the third derivative of -2/105*j**7 + 0*j**4 + 0 + 0*j**5 + 0*j + 0*j**3 - 6*j**2 + 1/30*j**6. Factor r(l).
-4*l**3*(l - 1)
Let i(g) be the second derivative of 11*g**6/30 - 383*g**5/20 + 1161*g**4/4 - 2533*g**3/6 - 289*g**2 + 3*g + 5. Factor i(s).
(s - 17)**2*(s - 1)*(11*s + 2)
Let a(n) be the first derivative of -13*n**6/3 - 18*n**5/5 + 789*n**4/26 + 50*n**3/39 - 1104*n**2/13 + 1152*n/13 - 17. What is x in a(x) = 0?
-24/13, 1
Let o = -2681 + 2683. Find m such that 2/13*m**3 - 4/13 + 0*m**o - 6/13*m = 0.
-1, 2
Let h(y) = 2*y**3 + 33*y**2 - 19*y - 55. Let j(f) = f**3 + f + 1. Let p(b) = h(b) - 5*j(b). Find t, given that p(t) = 0.
-1, 2, 10
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