 2*d = -18, -6*r = -9*r + d + 6. Factor -3/8*y**2 + 3/8*y**r - 3/8*y + 3/8.
3*(y - 1)**2*(y + 1)/8
Let b be -1 + (-5)/(-4) - 5418/(-11352). Factor -2/11*z**2 - 8/11 + b*z.
-2*(z - 2)**2/11
Determine f so that 24/7*f**2 - 8/7*f**4 - 4/7*f**3 - 4/7*f - 8/7 = 0.
-2, -1/2, 1
Let y(v) be the first derivative of v**3 - 135*v**2/2 - 186. Factor y(n).
3*n*(n - 45)
What is c in -8/5*c**3 + 0 + 2/5*c**4 - 2/5*c**2 + 8/5*c = 0?
-1, 0, 1, 4
Let p(q) = -1. Let d(g) = -g**2 - 13*g + 11. Let t(m) = -d(m) + 3*p(m). Solve t(w) = 0.
-14, 1
Let y = 5174/7 + -25849/35. Solve 0 - 2/5*l**2 - 1/5*l**3 + y*l = 0.
-3, 0, 1
Factor 173*m - 15*m**2 + 40 - 173*m + m**3 + 460.
(m - 10)**2*(m + 5)
Let q(c) be the first derivative of 4*c**3 + 195 - 399 + 191 + c**4 - 16*c. Suppose q(i) = 0. What is i?
-2, 1
Factor 14*y**4 + 750*y + 340/3*y**3 + 1300/3*y**2 + 1250/3 + 2/3*y**5.
2*(y + 1)*(y + 5)**4/3
Let s(n) be the first derivative of n**5/70 - n**4/42 - n**3/21 + n**2/7 - 36*n + 12. Let r(x) be the first derivative of s(x). What is j in r(j) = 0?
-1, 1
Factor 0*r - 1/5*r**2 + 0 - 3/5*r**4 - 3/5*r**3 - 1/5*r**5.
-r**2*(r + 1)**3/5
Let i be -4 + (-3 - -5) - -3. Let o = i + 5. Factor o*x**3 + 2*x**4 - 7*x**3 - x**3.
2*x**3*(x - 1)
Let z(o) be the third derivative of 3*o**6/20 - 59*o**5/20 + 43*o**4/4 + 8*o**3 + 111*o**2. What is q in z(q) = 0?
-1/6, 2, 8
Let q(c) be the third derivative of -c**6/80 + 13*c**5/40 + 3*c**2 + 22. Solve q(l) = 0.
0, 13
Suppose -4*f = -a - 2*a - 42, -2*a + 4 = 0. Suppose 4*b - f + 1 = 5*m, 4*b - m = 15. Factor 0*n**b - n + 9*n**2 + 2*n - 3*n**4 + 5*n.
-3*n*(n - 2)*(n + 1)**2
Let m(k) be the third derivative of 0*k + 1/6*k**4 + 2/3*k**3 + 7*k**2 + 1/60*k**5 + 0. Factor m(b).
(b + 2)**2
Let m be (-1 - -1)*(-3)/(-6). Suppose 0 = -0*r + 15*r - 45. Factor m - 6 - 4*c + 4*c**r + 8*c**2 - 9 + 7.
4*(c - 1)*(c + 1)*(c + 2)
Find h, given that 129*h + 51*h**4 - 237*h**3 + 15*h + 141*h**2 - 3*h**5 - 192 + 96*h = 0.
-1, 1, 8
Let d(i) be the third derivative of i**7/504 - 5*i**6/72 + 25*i**5/24 + i**4/8 - 5*i**2. Let r(l) be the second derivative of d(l). Factor r(f).
5*(f - 5)**2
Let a = 70 + -68. Let m(n) be the first derivative of 18/5*n - 6/5*n**a + 2/15*n**3 - 1. Factor m(p).
2*(p - 3)**2/5
Suppose -3*z + 5*j = -4, -2*j + 8 = z + z. Suppose -5*g = -2*k - 19, 2*g - 9 - 10 = -z*k. Factor 4*h**4 - 24*h**4 + 5*h**3 + 20*h**2 - 8*h + k*h**3.
-4*h*(h - 1)*(h + 1)*(5*h - 2)
Suppose l - 7 = -2*i, -l = -4*l - 5*i + 16. Let z(c) = 4*c**4 - 3*c**3 + 3. Let p(g) = -g**4 - 1. Let t(d) = l*p(d) - z(d). Factor t(b).
-b**3*(b - 3)
Let o(m) = m**3 - 7*m**2 + m - 4. Let y be o(7). Let x = -4 - -7. Let -3*q + x*q**2 + q**5 + 5*q - 4*q - 2*q**y + 3*q**3 - 3*q**4 = 0. Calculate q.
-1, 0, 1, 2
Suppose -117*y + 111*y = 90. Let g be ((-2)/y)/(29/290). Find c such that 0 + g*c + 7/3*c**4 - 16/3*c**2 + 5/3*c**3 = 0.
-2, 0, 2/7, 1
Suppose 19 = 7*a - 9. Factor -k**3 + 12*k**2 - 8*k - 454*k**a + 450*k**4 + k**3.
-4*k*(k - 1)**2*(k + 2)
Factor 2/11*i**3 - 192/11*i + 72 - 2/11*i**2.
2*(i - 6)**2*(i + 11)/11
Let o be (-49)/6 - (-18)/108. Let l be (-4*4/o)/10. Solve 0 + l*n**3 + 0*n - 2/5*n**2 = 0.
0, 2
Factor -106/3*l**2 + 34*l**3 - 10*l**4 + 12*l + 0 - 2/3*l**5.
-2*l*(l - 1)**3*(l + 18)/3
Let v = -31476 + 31478. Determine j so that 2/7*j**2 + 20/7 - v*j = 0.
2, 5
Let u(a) = -5*a**4 + 5*a**3 + 15*a**2 - 5*a - 10. Let l(h) = -h**4 + h**3 + 3*h**2 - h - 2. Let s(y) = 22*l(y) - 4*u(y). Factor s(r).
-2*(r - 2)*(r - 1)*(r + 1)**2
Suppose 30 - 34 = -2*u. Factor h - 5*h**3 - 65*h**4 - 4*h**2 + 3*h**u + 62*h**4.
-h*(h + 1)**2*(3*h - 1)
Let w be 2/9 - (892/(-36) - -1). Determine z so that -z**2 + w*z**3 + 8*z + 6*z - 11*z**2 - 26*z**3 = 0.
-7, 0, 1
Let z(f) = -3*f**4 - f**2. Let l(k) = 2*k**5 - 35*k**4 + 60*k**3 - 85*k**2 + 50*k - 12. Let i(j) = l(j) - 5*z(j). Let i(p) = 0. What is p?
1, 6
Let s = -123581/8 - -15448. Factor -7/8*h**3 + 0*h + s*h**4 + 1/4*h**2 + 0.
h**2*(h - 2)*(3*h - 1)/8
Let z be 3/3 - (-9 + (-9)/(27/(-15))). Determine j so that z*j + 10*j**2 - 5*j**3 - 5/2*j**4 - 15/2 = 0.
-3, -1, 1
Let l(x) = -3*x**2 + 211*x - 10. Let c(i) = -i**2 + 105*i - 4. Let d(w) = -5*c(w) + 2*l(w). Determine o so that d(o) = 0.
-103, 0
Let c(q) be the third derivative of 0 - 1/168*q**7 + 0*q + 28*q**2 + 5/96*q**4 + 1/16*q**5 - 5/12*q**3 - 1/96*q**6. Let c(t) = 0. What is t?
-2, -1, 1
Let j(m) = m**3 + 31*m**2 - 182*m - 70. Let r be j(-36). Factor 0*z + 0 - 5/4*z**r + 5/4*z**5 - 5/4*z**3 + 5/4*z**4.
5*z**2*(z - 1)*(z + 1)**2/4
Let g(n) be the second derivative of 5*n**7/56 - n**6/24 - 2*n**5/5 - n**4/2 - n**3/6 - 6*n. Let r(h) be the second derivative of g(h). Factor r(o).
3*(o - 1)*(5*o + 2)**2
Let o(v) be the second derivative of 2*v**7/147 - 4*v**5/35 + 2*v**4/21 + 2*v**3/7 - 4*v**2/7 + 41*v - 2. Factor o(u).
4*(u - 1)**3*(u + 1)*(u + 2)/7
Let z(o) = -o + 5. Let k be z(6). Let b be -2 + k + (-9)/(-1). Factor 2*n - 4*n - 2*n**2 + b*n - 2.
-2*(n - 1)**2
Let t(g) be the third derivative of -25*g**8/336 + 11*g**7/42 + g**6/20 - 7*g**5/15 - g**4/3 - 94*g**2. Suppose t(l) = 0. What is l?
-2/5, 0, 1, 2
Let l = -70/13 + 6313/1170. Let a(i) be the third derivative of 0 - 1/45*i**3 + l*i**4 + 6*i**2 - 1/450*i**5 + 0*i. Factor a(t).
-2*(t - 1)**2/15
Suppose -214/11*o**2 - 1225/11 + 24/11*o**3 - 1/11*o**4 + 840/11*o = 0. What is o?
5, 7
Find f such that -204/7*f - 24/7*f**3 - 2/7*f**4 - 144/7 - 106/7*f**2 = 0.
-4, -3, -2
Let f be 3289/(-253) - 55/(-4). Factor 1/2*x**3 + 0 - f*x**4 + 0*x + 1/4*x**5 + 0*x**2.
x**3*(x - 2)*(x - 1)/4
Let i = -12 + 31. Factor -12 + 4*y**2 - y - y**2 + 11*y - i*y.
3*(y - 4)*(y + 1)
Let r(u) be the third derivative of u**7/70 - u**6/6 + 9*u**5/20 - 5*u**4/12 + 257*u**2. Solve r(s) = 0 for s.
0, 2/3, 1, 5
Let y(o) be the third derivative of -2*o - 1/135*o**5 + 1/9*o**3 + 12*o**2 - 1/27*o**4 - 1/945*o**7 + 1/135*o**6 + 0. Determine b so that y(b) = 0.
-1, 1, 3
Let g(d) = -19*d - 1083. Let o be g(-57). Determine k so that -22/7*k**3 + o*k + 0 - 6/7*k**4 - 12/7*k**2 = 0.
-3, -2/3, 0
Factor 15*i - 63*i**2 - 14*i - 199*i + 32*i**2 + 33*i**2 - 200.
2*(i - 100)*(i + 1)
Suppose 5*i + 264 = v + 268, -2*i = v - 3. Solve -1/3*j**2 + 2/3*j + v = 0.
-1, 3
Let z(x) be the second derivative of 0 + 25*x - 1/2*x**4 - 1/2*x**3 + 0*x**2. Factor z(o).
-3*o*(2*o + 1)
Let v(q) = -q**3 - 27*q**2 + 24*q - 112. Let z be v(-28). Solve z - 1/4*b**2 + 0*b = 0.
0
Let c be (-2 + (-16)/(-10))*-10. Let m be (2/c + 0)*0. Suppose m*k**2 - 5*k**2 - 6*k**4 + 2*k**2 - 9*k**3 = 0. What is k?
-1, -1/2, 0
Let l = 19 - 5. Let u be -4 - -2 - l/(-2). Let -2*g - 9 + u + 4*g**3 - 4*g**4 + 8*g**2 - 3*g**5 + g**5 = 0. Calculate g.
-2, -1, 1
Let i(v) be the first derivative of 0*v - 8*v**6 - 72/5*v**5 - v**3 - 4 - 27/4*v**4 + 0*v**2. Factor i(d).
-3*d**2*(d + 1)*(4*d + 1)**2
Suppose 5*u = 4*v - 17, -281 + 288 = 3*v + 2*u. Factor -1 - 1/5*k**4 + 4/5*k**v + 6/5*k**2 - 4/5*k.
-(k - 5)*(k - 1)*(k + 1)**2/5
Factor 0 + 0*c + 30/7*c**3 + 0*c**2 - 2/7*c**5 + 4/7*c**4.
-2*c**3*(c - 5)*(c + 3)/7
Let q = -2030/9 - -226. Factor -q*a**2 + 4/9 + 2/9*a**3 - 2/9*a.
2*(a - 2)*(a - 1)*(a + 1)/9
Let k(r) = 6*r**2 - 916*r - 50181. Let j(g) = 22*g**2 - 3208*g - 175634. Let h(d) = -5*j(d) + 18*k(d). What is w in h(w) = 0?
-112
Let y(g) be the third derivative of -1/390*g**5 + 0*g - 12/13*g**3 + 17*g**2 - 1/13*g**4 + 0. Factor y(r).
-2*(r + 6)**2/13
Let c(d) be the first derivative of -2/25*d**5 + 1/30*d**6 + 0*d + 0*d**4 - 11 - 1/10*d**2 + 2/15*d**3. Solve c(w) = 0.
-1, 0, 1
Let i(s) be the first derivative of 21*s**4/4 + 72*s**3 + 198*s**2 + 96*s - 46. Suppose i(j) = 0. What is j?
-8, -2, -2/7
Let n(t) = -2*t**2 + 3*t + 14 + 5*t + 4*t. Let o(r) = 3*r**2 - 24*r - 29. Let z(c) = -7*n(c) - 4*o(c). Determine v so that z(v) = 0.
-3
Let k = 36 - 11. Let l = 27 - k. Determine u, given that 0*u + 0*u + 8*u**l - 4*u**2 = 0.
0
Let m(s) = 2*s**2 - 13*s + 22. Let o be m(2). Let b(h) be the second derivative of 2/3*h**o - 4*h**2 - 2/3*h**3 + 7*h + 1/5*h**5 + 0. Factor b(n).
4*(n - 1)*(n + 1)*(n + 2)
Let h = -64503/5 + 12903. Factor 6*p - h - 24/5*p**2 + 6/5*p**3.
6*(p - 2)*(p - 1)**2/5
Let v = -1916 + 1918. Let p(k) be the second derivative of 3*k + 4/39*k**4 - 5/39*k**3 - 2/65*k**5 + 1/13*k**v + 0. Suppose p(s) = 0. What is s?
1/2, 1
Find i, given that -5*i**3 + 4