 3/13*d**3 + 7/390*d**5 + 0*d + 1/780*d**6. Solve m(z) = 0 for z.
-3, -1
Let y(q) be the first derivative of -3*q**5/35 + 3*q**4/4 - 15*q**3/7 + 27*q**2/14 + 609. Factor y(x).
-3*x*(x - 3)**2*(x - 1)/7
Solve 16 + 2*m**3 + 16 + 6*m**3 + 28*m**2 - 4*m**3 + 56*m = 0.
-4, -2, -1
Let r be 6 - (-13 - -9)*1/(-2). Suppose -r*p - 2*j - 3 + 9 = 0, 5*p + j = 15. Suppose 0*c + 0 - 10/3*c**5 - 2/3*c**3 + 4/3*c**2 - 16/3*c**p = 0. What is c?
-1, 0, 2/5
Let f(d) = -10*d**2 - 830*d + 41623. Let w(h) = -14*h**2 - 1244*h + 62434. Let b(q) = 10*f(q) - 7*w(q). Find z such that b(z) = 0.
102
Let u(k) be the first derivative of -k**6/180 + k**5/60 - k**3/18 + k**2/12 - 46*k + 29. Let z(c) be the first derivative of u(c). Factor z(i).
-(i - 1)**3*(i + 1)/6
Let c(r) = 18*r**2 + 391*r + 206. Let m(k) = -8*k**2 - 196*k - 102. Let u(i) = -4*c(i) - 10*m(i). Factor u(g).
4*(g + 49)*(2*g + 1)
Factor -76/5*c**2 - 12/5 - 18/5*c**3 - 14*c.
-2*(c + 1)*(c + 3)*(9*c + 2)/5
Let a(c) = c**3 + 553*c**2 + 100459*c + 6128487. Let g(q) = -3*q**3 - 1658*q**2 - 301379*q - 18385461. Let r(s) = -11*a(s) - 4*g(s). Factor r(w).
(w + 183)**3
Solve 44*f + 36481 + 3788*f**2 - 3787*f**2 - 426*f = 0 for f.
191
Let l be (-2)/((10/9)/(-5)). Suppose 3*d - 2*s - s = -9, 2*d - l = -s. Determine x, given that -7*x**4 + 11*x + d*x**3 - 3*x + 14*x**3 + 20*x**2 + 11*x**4 = 0.
-2, -1, 0
Suppose 0 = -2*q + 3*q - 5*d + 16, 5*q + 2*d = 28. Let k = q - 0. Determine w, given that w - 3*w + 2*w**k - 10*w**3 - 2*w**2 + 12*w**3 = 0.
-1, 0, 1
Determine z, given that 16/7*z**2 + 0 + 2/7*z**4 - 8/7*z - 10/7*z**3 = 0.
0, 1, 2
Let m = 1066 - 51163/48. Let t(g) be the third derivative of -m*g**4 + 1/6*g**3 - 15*g**2 - 3/80*g**6 + 0 - 2/15*g**5 + 0*g. Let t(h) = 0. What is h?
-1, 2/9
Let h(b) be the third derivative of b**6/15 + 2*b**5/9 + 25*b**4/108 + 628*b**2. Factor h(c).
2*c*(6*c + 5)**2/9
Let q(k) be the first derivative of 10*k + 5/2*k**2 - 3 - 10/3*k**3 - 5/4*k**4. Factor q(a).
-5*(a - 1)*(a + 1)*(a + 2)
Let w(v) be the second derivative of 0 + 8/3*v**4 - 8/3*v**3 + 2/21*v**7 - 3/5*v**5 + 0*v**2 + 20*v - 4/15*v**6. Factor w(j).
4*j*(j - 2)*(j - 1)**2*(j + 2)
Let a = -467/300 - 2/75. Let x = 9/4 + a. Solve 0 + 0*h - x*h**2 = 0.
0
Suppose 5*w = -8*g + 5*g + 1, -12 = -5*g + 2*w. Suppose 0 = 11*r - 31 - g. Factor -2/3 + 2/3*f**2 + f - f**r.
-(f - 1)*(f + 1)*(3*f - 2)/3
Let u(m) be the first derivative of m**4/12 - 2*m**3/9 - 5*m**2/6 + 2*m - 152. Factor u(n).
(n - 3)*(n - 1)*(n + 2)/3
Let f be 2 - (-9 - (6 - 12)). Let h(l) be the first derivative of -8/7*l**4 - 1 + 2/7*l + 2/7*l**f - 8/7*l**2 + 12/7*l**3. What is b in h(b) = 0?
1/5, 1
Let y(t) = -7 + 5*t**2 + 2 + 25*t + 1 + 10. Let h(p) = -3*p**2 - 17*p - 4. Let v(x) = 7*h(x) + 5*y(x). Suppose v(i) = 0. What is i?
-1, -1/2
Suppose -g + 2*s = -3*g + 8, 2*g + 4*s - 16 = 0. Let -3/2*p**2 + 3/4*p**3 + 14*p**4 - 1/4*p + 12*p**5 + g = 0. Calculate p.
-1, -1/4, 0, 1/3
Let t(c) be the third derivative of 13*c**7/42 + 15*c**6/8 + 19*c**5/4 + 155*c**4/24 + 5*c**3 - 29*c**2. Factor t(d).
5*(d + 1)**3*(13*d + 6)
Let c(j) = 3*j**2 - 291*j - 9527. Let l(a) = -a**2 + 3*a + 1. Let n(q) = -2*c(q) - 10*l(q). Factor n(y).
4*(y + 69)**2
Let i(u) be the third derivative of -u**6/420 + 8*u**5/105 + u**4/84 - 16*u**3/21 - 65*u**2. Factor i(s).
-2*(s - 16)*(s - 1)*(s + 1)/7
Let u = -6274 - -81578/13. Suppose 12/13*o**4 - u*o**3 - 2/13*o**5 - 32/13*o**2 - 64/13 + 96/13*o = 0. What is o?
-2, 2
Let -134*k**3 + 16*k**2 - 16 - 150*k**3 + 12*k**4 + 64*k**5 - 3*k**4 + 23*k**4 + 112*k - 140*k**2 = 0. What is k?
-2, -1, 1/4, 2
Let x(u) be the first derivative of -u**4/22 - 2*u**3/11 + 18*u**2/11 - 49. Let x(o) = 0. Calculate o.
-6, 0, 3
Determine b, given that 148*b - 7*b**5 - 16 + 410*b**4 - 732*b**4 + 56*b**5 - 472*b**2 + 613*b**3 = 0.
2/7, 1, 4
Let i(f) be the first derivative of f**5/2 - 15*f**4/8 - 10*f**3/3 + 35. Factor i(y).
5*y**2*(y - 4)*(y + 1)/2
Let c(n) be the first derivative of 4/9*n**2 + 0*n + 14 + 4/27*n**3. Solve c(j) = 0.
-2, 0
Let q(c) be the third derivative of -35*c**8/48 - 17*c**7 - 1621*c**6/24 - 112*c**5 - 545*c**4/6 - 40*c**3 - 101*c**2. Suppose q(f) = 0. Calculate f.
-12, -1, -2/7
Let s(f) be the third derivative of -f**7/1680 + f**6/360 + f**5/60 - f**4/6 - 3*f**3 + 20*f**2. Let u(h) be the first derivative of s(h). Factor u(x).
-(x - 2)**2*(x + 2)/2
Suppose 0 = 6*b - 3*b - 18. Let g(a) = a**2 - 17*a - 98. Let t be g(22). Find f such that 32 + 15*f + 10*f - 34*f**4 - b*f**5 + t*f - 56*f**3 + 27*f = 0.
-2, -2/3, 1
Let h = -17771 - -17775. Determine t, given that -h*t - 2/3*t**2 - 16/3 = 0.
-4, -2
Factor -2/5*q**3 - 2736/5*q + 2888/5 - 30*q**2.
-2*(q - 1)*(q + 38)**2/5
Factor 55 - 67 - 46*z - 20*z**2 - 48*z**2 - 15*z**5 - 16*z**4 + 13*z**5 - 48*z**3.
-2*(z + 1)**3*(z + 2)*(z + 3)
Let j(o) be the first derivative of -o**6/18 - 31*o**5/15 + 25*o**4/3 - 68*o**3/9 + 378. Determine b, given that j(b) = 0.
-34, 0, 1, 2
Let h(o) be the second derivative of 1/6*o**3 + 20*o + 0 - 1/16*o**4 + 1/2*o**2. Suppose h(t) = 0. Calculate t.
-2/3, 2
Let c(d) = 53*d**2 + 5*d + 9. Let t be c(-2). What is h in 0*h**3 + h**2 - 211 + t - h**3 = 0?
0, 1
Let l(d) be the third derivative of -d**6/20 + 11*d**5/15 - 7*d**4/12 - 126*d**2. Find s, given that l(s) = 0.
0, 1/3, 7
Let m(z) = -15*z**2 + 11*z - 2. Let k(v) = 4*v**2 - 2*v + 1. Let j(q) = -12*k(q) - 3*m(q). Factor j(t).
-3*(t + 1)*(t + 2)
Let n = 121837/6 - 20306. Factor 1/6*g**5 - n*g**2 + 0 + 1/6*g**4 - 1/6*g**3 + 0*g.
g**2*(g - 1)*(g + 1)**2/6
Let y(t) be the first derivative of -t**5/20 - 27*t**4/16 - 14*t**3 + 49*t**2/2 + 43. Find x, given that y(x) = 0.
-14, 0, 1
Let 40/13 - 16/13*l - 6/13*l**3 - 62/13*l**2 = 0. What is l?
-10, -1, 2/3
Let p(z) be the first derivative of z**5/40 - z**4/16 - z**2/2 - 4. Let s(n) be the second derivative of p(n). Solve s(u) = 0.
0, 1
Suppose 43 = -15*k - 2. Let c be (-1 + 4 + -1)/((-4)/k). Suppose c*w - 1 + 0*w**2 - 1/2*w**3 = 0. What is w?
-2, 1
Let g(d) be the second derivative of d**5/210 - d**4/42 - 4*d**3/63 - 341*d. Factor g(v).
2*v*(v - 4)*(v + 1)/21
Let j(x) be the third derivative of -4/15*x**5 + 1/42*x**8 + 0*x**4 + 0*x**3 + 0*x + 0 + 6/35*x**7 - 35*x**2 + 1/10*x**6. Suppose j(p) = 0. Calculate p.
-4, -1, 0, 1/2
Let f = -1205/2 + 604. Let a(o) be the second derivative of 0 - 7*o - 1/2*o**4 - f*o**2 - 3/2*o**3. Factor a(h).
-3*(h + 1)*(2*h + 1)
Suppose -2*o = -o - 256. Suppose 0 = -3*k - k + o. Suppose -k*z**3 + 177*z**4 - 61*z**4 + 38*z**4 + z**2 - 98*z**5 + 7*z**2 = 0. What is z?
0, 2/7, 1
Suppose -6 - 40 = -2*m. Let f = -19 + m. Factor 4 - 46*t - 2*t**3 + 44*t + 3*t**3 + t**3 - f*t**2.
2*(t - 2)*(t - 1)*(t + 1)
Let s(w) be the third derivative of w**8/336 + w**7/105 - w**5/30 - w**4/24 - 27*w**2 - w. Solve s(d) = 0 for d.
-1, 0, 1
Let n = 624 - 312. Let q be n/182 - 3/(21/(-2)). Solve 1/6*d**5 - 4/3 - 10/3*d + 1/6*d**3 - 7/3*d**q + 2/3*d**4 = 0.
-2, -1, 2
Let k = -47129/30 - -1571. Let l(m) be the second derivative of 0*m**2 + k*m**5 + 0 - 1/45*m**6 + 0*m**3 - 1/54*m**4 + 1/189*m**7 - 11*m. Factor l(x).
2*x**2*(x - 1)**3/9
Let j(x) be the third derivative of x**6/480 + 208*x**2. Factor j(l).
l**3/4
Let g be 94073/(-105) + (-2)/5. Let p = 905 + g. Let -p*a**2 - 4*a**3 - 8/3 - 8*a - 2/3*a**4 = 0. What is a?
-2, -1
Let q(y) be the first derivative of -y**7/2100 - 7*y**6/900 - 7*y**5/150 - 2*y**4/15 + 19*y**3/3 + 23. Let f(g) be the third derivative of q(g). Factor f(z).
-2*(z + 1)*(z + 2)*(z + 4)/5
Let i(o) be the third derivative of o**5/20 + 9*o**4/8 + 7*o**3 + 136*o**2. Factor i(b).
3*(b + 2)*(b + 7)
Let w(z) be the second derivative of -2*z**4/3 - z**3/3 + z**2 - 48*z. Let b be w(0). Determine q, given that 0*q + 3/4*q**4 + 0 - q**b + q**3 = 0.
-2, 0, 2/3
Factor 2/11*n**2 + 2/11 + 4/11*n.
2*(n + 1)**2/11
Let x(j) be the first derivative of 3*j**5/5 + 81*j**4/4 + 72*j**3 - 6*j**2 - 288*j + 655. Determine w, given that x(w) = 0.
-24, -2, 1
Let x(p) = 2*p**2 - 10*p - 1. Let h(d) = -d**2 + 5*d + 1. Let f(m) = 5*h(m) + 2*x(m). Let z be f(5). Solve 3*w**2 + 3*w - z*w**3 - 3*w**4 - 5 + 5 = 0.
-1, 0, 1
Suppose -268 = -5*p + 3*d, -2*p = -d - 0*d - 108. Let m be ((-4)/(-14))/(8/p). Let -16 - 4*o**3 + 8 + 8*o**2 + 2*o + 0*o + m*o = 0. Calculate o.
-1, 1, 2
Let a(h) be the first derivative of -4/3*h**