1*x**2 - 8/21.
-2*(x + 1)*(x + 4)/21
Suppose -12*m = 8*m + 2360. Let d = m - -121. Determine g so that 0 + 4/9*g**d - 4/9*g - 2/9*g**2 + 2/9*g**4 = 0.
-2, -1, 0, 1
Suppose -8*j**2 + 2*j**4 + 9*j**3 + 19*j**3 - 22*j**3 = 0. Calculate j.
-4, 0, 1
Let v(t) be the third derivative of -t**10/7560 - 13*t**9/15120 - t**8/2240 - 2*t**4 - 3*t**2 - 2. Let z(a) be the second derivative of v(a). Factor z(x).
-x**3*(x + 3)*(4*x + 1)
Suppose 3*r - 15 = -v, 5*r - 25 = 7*v - 3*v. Let n(x) = -x. Let y be n(v). Factor y*k + 1/5*k**2 - 1/5.
(k - 1)*(k + 1)/5
Suppose -6 - 9 = -3*c, 5*c = -5*z + 35. Let f = 12 + -2. Factor -4 - f*y - 2*y**2 + 26*y - 4*y**z - y**2.
-(y - 2)*(7*y - 2)
Let g(h) be the third derivative of 0 + 26*h**2 + 0*h - 1/270*h**5 + 0*h**3 + 0*h**4. Find t such that g(t) = 0.
0
Let t be (3 - (-21)/(-3)) + 6. Suppose -3*j + 25 = -0*j + 5*p, -t*j + 3*p = -4. Let -21/2*i**j + 0 - 3/2*i**2 - 45/2*i**3 - 57/2*i**4 + 3*i = 0. What is i?
-1, 0, 2/7
Let y(o) be the second derivative of -o**6/15 - 3*o**5/20 + o**3/6 - 7*o - 23. Factor y(s).
-s*(s + 1)**2*(2*s - 1)
Let g = 448 + -443. Let h(x) be the third derivative of 0*x - 1/560*x**8 + 0*x**7 - 6*x**2 + 0 + 0*x**g + 0*x**3 - 1/40*x**4 + 1/100*x**6. Solve h(b) = 0 for b.
-1, 0, 1
Let v(y) = -4*y**2 - 17*y - 103. Let c(j) = -9*j**2 - 33*j - 207. Suppose 2*a + 34 = 20. Let u(z) = a*v(z) + 3*c(z). Factor u(g).
(g + 10)**2
Suppose 0 = -5*p + 2 + 83. Factor 8*u**2 + 177 + p*u - 5*u + 4*u**5 - 185 - 16*u**3.
4*(u - 1)**3*(u + 1)*(u + 2)
Let p(j) be the first derivative of 2/5*j**3 - 12 + 3/10*j**2 + 0*j - 9/20*j**4. Find s such that p(s) = 0.
-1/3, 0, 1
Let n(f) be the third derivative of 60*f**2 - 35/24*f**4 - 5/24*f**6 + 0*f + 3/2*f**5 - 5*f**3 + 0. Let n(d) = 0. What is d?
-2/5, 1, 3
Let f(v) be the first derivative of -1/84*v**4 + 5*v - 1/140*v**5 + 0*v**2 + 5 + 0*v**3. Let k(h) be the first derivative of f(h). Find u such that k(u) = 0.
-1, 0
Let l be (55/(-10) - -5) + (-20)/(-8). Let i(m) be the first derivative of -3 + 0*m - l*m**3 + 9/8*m**4 + m**2. Factor i(o).
o*(3*o - 2)**2/2
Let c(k) be the first derivative of -7*k**4/12 + 5*k**3/3 - 3*k**2/2 - 6*k - 38. Let z(m) be the first derivative of c(m). Factor z(g).
-(g - 1)*(7*g - 3)
Let s(u) be the second derivative of -u**7/147 + 4*u**6/105 - 8*u**4/21 + 16*u**3/21 + 2*u - 136. What is i in s(i) = 0?
-2, 0, 2
Let r be 10/4 - (3 - (-25)/(-10)). Let l be (-82)/(-26) - (-3 - -6). Factor l*w**r + 0 + 0*w.
2*w**2/13
Suppose 0 = -3*c + 15, 13 = -3*a - 3*c + 40. Let m be 9/a*64/24. What is s in 7*s**4 - 3*s**4 + m*s**2 - 10*s**2 = 0?
-1, 0, 1
Factor 76/3*a**2 + 0 - 61/3*a**3 + 3*a**4 + 20/3*a.
a*(a - 5)*(a - 2)*(9*a + 2)/3
Let y(k) be the first derivative of -k**4/78 - k**3/13 - 2*k**2/13 + 7*k + 11. Let b(o) be the first derivative of y(o). Let b(d) = 0. What is d?
-2, -1
Let o(a) be the second derivative of a**7/840 - a**6/80 + a**5/20 - 17*a**4/12 - 9*a. Let g(j) be the third derivative of o(j). Determine y so that g(y) = 0.
1, 2
Let q(n) be the third derivative of -10/3*n**3 + 5*n**4 - 10*n**2 - 29/12*n**5 + 3/8*n**6 + 0 + 0*n. Factor q(p).
5*(p - 2)*(p - 1)*(9*p - 2)
Let f(l) be the first derivative of -l**5/20 + 3*l**4/8 - l**3 - 3*l**2 + 17. Let p(r) be the second derivative of f(r). Factor p(h).
-3*(h - 2)*(h - 1)
Let n(u) be the first derivative of u**4 - 104*u**3/3 + 36. Determine c so that n(c) = 0.
0, 26
Factor -3*w - 3*w**2 - 474*w - 52272 + 11*w - 92*w - 234*w.
-3*(w + 132)**2
Let n(z) = -6*z**2 - 10*z - 12. Let y(j) = -11*j**2 - 22*j - 25. Let a(m) = -7*n(m) + 4*y(m). Find q, given that a(q) = 0.
-8, -1
Let x(u) be the third derivative of -1/220*u**6 + 0*u**3 - 1/1155*u**7 + 1/33*u**4 + 0*u + 0 - 17*u**2 + 0*u**5. Determine n, given that x(n) = 0.
-2, 0, 1
Suppose 0 = -7*b - 272 + 104. Let d = b - -63. What is f in 26*f**5 - 7*f**2 - 54*f**3 - 6*f + 34*f**5 - d*f**4 + 46*f**2 = 0?
-1, 0, 1/4, 2/5, 1
Let c be (6/8)/((-76)/16 + 5). Suppose -d + 4*v = 0, 0*d + 4*v + 8 = 3*d. Suppose 0*q**c - 1/4*q**d + 1/2*q + 0 + 3/4*q**2 = 0. Calculate q.
-1, 0, 2
Let s be ((-48)/(-20))/(2/(-10)). Let c = s - -15. Determine d, given that -d - 3*d**3 + 2*d**4 - 2 + 3*d**3 - 3*d + 4*d**c = 0.
-1, 1
Let d be 0*(-7)/70 + (-2)/(-3). Let f(v) be the first derivative of 0*v**3 + 0*v + 1/3*v**4 + 6 - d*v**2. Determine s so that f(s) = 0.
-1, 0, 1
Let x(s) = -2*s**2 - s + 5. Let d be x(-3). Let u be (d/15)/((-2)/6). Factor -u*p**3 + 3*p**2 + 72*p - 76*p - 5*p**2 - 4*p**2.
-2*p*(p + 1)*(p + 2)
Let z be 12/2*3*(-4)/(-18). Factor 18*x**2 - 13*x**2 - x**4 - z*x**4.
-5*x**2*(x - 1)*(x + 1)
Determine y, given that -21/4*y + 11/4*y**2 - 1/2 = 0.
-1/11, 2
Let s(n) = -14*n**3 + 8*n**2 + 65*n + 5. Let k(q) = 6*q**3 - 4*q**2 - 32*q - 2. Let i(d) = 5*k(d) + 2*s(d). Factor i(o).
2*o*(o - 5)*(o + 3)
Let i(h) be the first derivative of 2/57*h**3 - 9 + 0*h**2 - 1/38*h**4 + 0*h. Factor i(c).
-2*c**2*(c - 1)/19
Let p(r) = -72*r**4 - 42*r**3 + 292*r**2 + 90*r + 20. Let u(h) = 72*h**4 + 45*h**3 - 293*h**2 - 89*h - 22. Let z(v) = -7*p(v) - 6*u(v). Factor z(y).
2*(y - 2)*(y + 2)*(6*y + 1)**2
Let h be 0 + -1 + 1 - 44/(-22). Suppose 0 = 2*s - 5*s - h*n - 8, -3*s = -5*n - 20. Factor -1/6*p**2 - 1/6*p**3 + s*p + 0.
-p**2*(p + 1)/6
Let h(v) be the third derivative of 9*v**5/20 - 287*v**4/4 - 64*v**3 - 29*v**2 + 4. Suppose h(s) = 0. What is s?
-2/9, 64
Let z(t) be the second derivative of t**4/126 - 8*t**3/63 + 14*t + 1. What is f in z(f) = 0?
0, 8
Let q(u) = u + 3. Let w(z) = z**3 + 15*z**2 + 46*z - 54. Let l(v) = 2*q(v) - w(v). What is c in l(c) = 0?
-10, -6, 1
What is a in -2*a**2 + 168*a**3 - 10*a - 3*a**2 - 163*a**3 = 0?
-1, 0, 2
Let y(o) be the third derivative of -o**7/420 + o**5/30 + o**2 + 13. Factor y(l).
-l**2*(l - 2)*(l + 2)/2
Let q(d) be the first derivative of -8/57*d**3 - 14 + 0*d + 9/38*d**4 - 12/95*d**5 + 1/57*d**6 + 0*d**2. Suppose q(m) = 0. What is m?
0, 1, 4
Suppose -41 = 25*y - 21*y + 5*p, 3*p = -15. Let r be 86/215 + 0*2/y. What is z in r*z**5 - 4/5*z**3 - 2/5 + 4/5*z**2 - 2/5*z**4 + 2/5*z = 0?
-1, 1
Let u be 20 + (-4)/4*1. Let o = 39/2 - u. Factor 2*v + o + 3*v**2 + 2*v**3 + 1/2*v**4.
(v + 1)**4/2
Let s(z) = -z**3 - 3*z**2 + 9*z - 3. Let a be s(-5). Factor 0*m**a + m**2 - 2*m**2 - 2*m + 3*m**2.
2*m*(m - 1)
Factor -40*i**4 + 11*i**5 - 320*i**3 - 16*i**5 - 40*i**4.
-5*i**3*(i + 8)**2
Suppose 60*z = 17*z + 344. Let q(s) be the first derivative of 0*s - 2/9*s**2 - z + 10/27*s**3 - 1/6*s**4. Determine f, given that q(f) = 0.
0, 2/3, 1
Let l(k) = 17*k**2 + 1. Let m be l(-1). Let x be 50/m + (-8)/(-36). Factor -r**4 + r + 4*r**x + 0*r**4 + r**2 - 5*r**3.
-r*(r - 1)*(r + 1)**2
Suppose -3*k = -5*d + 16, 3*k + 2 = 3*d - 10. Find a, given that -a**d - 3*a**2 + 4*a - 4*a**3 + 2*a**4 + 2*a**4 = 0.
-1, 0, 1
Let x(u) be the first derivative of 4*u**3/9 + 38*u**2/3 + 104*u + 111. Let x(f) = 0. What is f?
-13, -6
Let r(a) be the third derivative of -11*a**2 - 1/80*a**5 + 0 + 0*a**4 - 1/480*a**6 + 0*a + 1/6*a**3. Factor r(m).
-(m - 1)*(m + 2)**2/4
Let b be 8*(6750/8)/9. Let g be 275/b + 4/30. Factor 0*n - n**2 - g*n**3 + 1/2*n**5 + 0 + n**4.
n**2*(n - 1)*(n + 1)*(n + 2)/2
Let i(h) be the second derivative of -h**5/20 + 5*h**4/12 - h**3/2 - 9*h**2/2 + 7*h + 22. Factor i(l).
-(l - 3)**2*(l + 1)
Let w(p) = 25*p**2 + 10*p - 15. Let x be w(2). Let f be -2 - -1 - (-357)/x. Find b, given that 6/5*b - 21/5*b**2 + 0 - 3*b**3 + f*b**4 = 0.
-1, 0, 1/4, 2
Let u(v) be the first derivative of -v**4 - 8/3*v**3 + 15 + 8*v + 2*v**2. Suppose u(j) = 0. What is j?
-2, -1, 1
Find n, given that 5/3*n**5 + 5/3*n**4 - 80/3*n**3 - 80/3*n**2 + 0 + 0*n = 0.
-4, -1, 0, 4
Let g be 6 + 231/49 + 4/14. Let m be (-5)/3 - (-13 + g). Factor 0*r - m*r**3 - 2/3*r**2 + 0.
-r**2*(r + 2)/3
Factor -3/2*n**2 - 6*n - 9/2.
-3*(n + 1)*(n + 3)/2
Solve 14*u**2 + 980 - 64*u**2 + 35*u - 2*u**3 - 7*u**3 + 0*u**3 + 4*u**3 = 0.
-7, 4
Let a(b) = 8*b - 261. Let d be a(33). Factor 2/5*c**2 - 2/5*c**d - 2/5*c**4 + 2/5*c + 0.
-2*c*(c - 1)*(c + 1)**2/5
Let n(m) = -m**2 - 25*m + 3. Let o be n(-25). Let h(p) be the second derivative of -3/10*p**5 + 0*p**2 + 0 + 1/12*p**6 - 1/6*p**3 + o*p + 3/8*p**4. Factor h(g).
g*(g - 1)**2*(5*g - 2)/2
Let d(l) be the first derivative of 0*l**4 + 1/12*l**3 + 0*l**2 - 2 - 1/20*l**5 + 0*l. Solve d(s) = 0.
-1, 0, 1
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