 + 0*z**2 - z = 0 for z.
-1, 2
Let r(c) be the second derivative of -2*c**6/15 - 3*c**5/5 + c**4/3 + 2*c**3 - 2*c + 4. Factor r(k).
-4*k*(k - 1)*(k + 1)*(k + 3)
Let w(i) be the third derivative of i**6/960 - 23*i**5/96 + 203*i**4/12 + 841*i**3/12 + 426*i**2. Determine f so that w(f) = 0.
-1, 58
Let y(t) = 11*t**3 - 207*t**2 + 357*t - 173. Let k(g) = 65*g**3 - 1240*g**2 + 2145*g - 1040. Let c(m) = -6*k(m) + 35*y(m). Factor c(u).
-5*(u - 37)*(u - 1)**2
Let g(k) be the first derivative of 2*k**3/3 + 34*k**2 + 578*k + 730. Factor g(p).
2*(p + 17)**2
Let a = -7208/5 + 1442. Find n, given that -4/5 + 4/5*n**2 - a*n + 2/5*n**3 = 0.
-2, -1, 1
Suppose -3*l - 3*l + l = 0. Suppose l = 2*y + 3*d + 7, 2*d = -3*d - 25. Factor 3/2*i**2 + 0*i + 3/4*i**y + 9/4*i**3 + 0.
3*i**2*(i + 1)*(i + 2)/4
Let n(f) be the third derivative of f**6/210 + 113*f**5/105 + 1045*f**4/14 - 2166*f**3/7 - 54*f**2 - 3. Suppose n(y) = 0. Calculate y.
-57, 1
Let y(z) be the second derivative of z**10/151200 - z**9/37800 + z**7/6300 - z**6/3600 - 3*z**4/2 - 6*z. Let k(v) be the third derivative of y(v). Factor k(h).
h*(h - 1)**3*(h + 1)/5
Let d(v) = -v**3 - 18*v**2 + v + 20. Let c be d(-18). Suppose 3*q + 15 = 0, 0*g = 3*g - 4*q - 26. Factor -3*w**3 + 5*w**c - w**4 + g*w + w - 5*w + w**5.
w*(w - 1)**3*(w + 2)
Let t = -196 + 2158/11. Let u(g) = -5*g - 18. Let p be u(-4). Suppose -4/11 + 2/11*c**3 - t*c - 2/11*c**4 + 6/11*c**p = 0. What is c?
-1, 1, 2
Let z(a) be the first derivative of 2*a**5/15 + 11*a**4/6 + 16*a**3/3 - 12*a**2 - 94. Factor z(j).
2*j*(j - 1)*(j + 6)**2/3
Let c(y) be the third derivative of -y**7/210 + 2*y**6/5 - 31*y**5/20 + 23*y**4/12 - y**2 - 101. Solve c(s) = 0 for s.
0, 1, 46
Let f = -14 + 16. Let w = f - 0. Factor -4*z**2 - 2*z - z**w + z**2 + 6*z**2.
2*z*(z - 1)
Let c be (-55)/77 - (-2)/(-7). Let t = c - -19. Suppose -q**4 + 3*q**3 - q + 17*q - 8 - t*q**2 + 4*q + 4*q**3 = 0. What is q?
1, 2
Let m(g) be the second derivative of 0 + 2/15*g**3 - 1/25*g**5 + 2/5*g**2 - 1/15*g**4 + 7*g. Solve m(v) = 0 for v.
-1, 1
Let p = 17 - 11. Suppose -2*c = -p*c + 8. What is l in 56*l**c + 10 - 71*l**2 - 9*l**3 + 12*l + 2 = 0?
-2, -2/3, 1
Suppose 4*k = 0, -k + 3*k + 3 = -m. Let a be (1 + m + 3)*2. Solve 5/4*d + 1/2 + 3/4*d**a - 1/4*d**3 - 1/4*d**4 = 0 for d.
-1, 2
Let q(d) be the third derivative of d**5/105 + 16*d**4/21 + 512*d**3/21 + 192*d**2. Factor q(a).
4*(a + 16)**2/7
Let b(w) = -9*w**2 + 9*w + 13. Let v(a) = 11*a**2 - 12*a - 14. Let k(p) = 6*b(p) + 5*v(p). Factor k(y).
(y - 4)*(y - 2)
Let c be (-3)/(-18)*-2*(-492)/1066. Factor 0*h + c*h**5 + 0 + 14/13*h**3 - 6/13*h**2 - 10/13*h**4.
2*h**2*(h - 3)*(h - 1)**2/13
Let m(y) be the first derivative of y**4/26 + 24*y**3/13 + 68*y**2/13 + 23. Let m(j) = 0. Calculate j.
-34, -2, 0
Let a be 50/336 + 5 + (-36)/7. Let y(r) be the second derivative of 0 + 1/40*r**5 + 0*r**4 - a*r**7 - 4*r - 1/24*r**3 + 0*r**2 + 0*r**6. Factor y(c).
-c*(c - 1)**2*(c + 1)**2/4
Let q(f) be the third derivative of 0 + 1/15*f**6 + 0*f**7 - 1/84*f**8 + 0*f**3 - 1/6*f**4 + 0*f**5 + 0*f - 11*f**2. Determine b so that q(b) = 0.
-1, 0, 1
Let t(i) be the third derivative of -i**7/840 - i**6/60 - 3*i**5/40 + i**4/24 + 2*i**2. Let w(l) be the second derivative of t(l). Factor w(b).
-3*(b + 1)*(b + 3)
Let 8*b - 2*b**3 + 6*b**2 + 24*b - 24*b = 0. Calculate b.
-1, 0, 4
Let d(y) be the third derivative of -y**5/15 + 17*y**4/2 - 100*y**3/3 - 116*y**2. Factor d(p).
-4*(p - 50)*(p - 1)
Let t be (-28)/(-21)*(7/2 - -1). Let w = t - 4. Factor -2/3 + 2*l + 2/3*l**3 - 2*l**w.
2*(l - 1)**3/3
Suppose -4*z + 0 = -3*q + 6, -3*z = 0. Suppose -8*d = -q*d - 42. Solve 12*l**2 + d*l - 9*l**3 - 15*l + 4*l = 0.
0, 2/3
Let d(l) be the first derivative of 2/39*l**3 + 20 + 0*l - 1/26*l**4 + 0*l**2. Factor d(i).
-2*i**2*(i - 1)/13
Let d(x) = 48*x**3 - 1665*x**2 + 956*x - 126. Let w(h) = -48*h**3 + 1666*h**2 - 956*h + 124. Let b(o) = -6*d(o) - 5*w(o). Find u, given that b(u) = 0.
1/4, 1/3, 34
Suppose -5*n + 4*n = 6*n. Solve n*r**3 + r**3 - 29*r**2 + 2 - r - 1 + 28*r**2 = 0.
-1, 1
Let l = 300339/7 - 42905. Solve l*k**2 - 2/7 - 12/7*k**3 + 6/7*k + 6/7*k**5 - 2/7*k**4 = 0 for k.
-1, 1/3, 1
Let t be 29 - (-1)/(((-4)/(-4))/(-1)). Let y = 28 - t. Factor 0 + y*u + 4/13*u**2 + 2/13*u**3.
2*u**2*(u + 2)/13
Suppose -6 = -2*l - 4*x - 4, -2*x - 5 = -l. Let h(k) = -k**4 - 3*k**3 - 3*k**2 - k. Let o(r) = r**4 + r**3 + r + 1. Let q(f) = l*h(f) + 6*o(f). Factor q(w).
3*(w - 2)*(w - 1)*(w + 1)**2
Suppose 75*d**2 - 190 - 185 + 61 + 5*d**3 + 59 - 292*d + 107*d = 0. What is d?
-17, -1, 3
Factor -w + 1/8*w**4 - 3/4*w**2 + 0*w**3 - 3/8.
(w - 3)*(w + 1)**3/8
Let y = -205162/5 + 41034. Let a = 2/169 + 328/845. Factor 8/5*h + y + a*h**2.
2*(h + 2)**2/5
Let l(c) = 3*c + 50. Let h be l(-15). Suppose 1 + 0*i**2 - 4*i**2 + 0*i**5 + 3*i**4 - 2*i**h - 2*i**3 + 4*i**5 = 0. What is i?
-1, 1/2, 1
Let m(t) = -4*t**3 - 8*t**2 + 4*t - 8. Let b(k) = -k - 29 - 23 + k**3 + k**2 + 53. Let q(l) = 8*b(l) + m(l). Factor q(j).
4*j*(j - 1)*(j + 1)
Determine k, given that 0 - 4/3*k**2 + 0*k - 2/3*k**4 - 2*k**3 = 0.
-2, -1, 0
Let f(k) be the second derivative of k**4/8 + 4*k**3 + 36*k**2 + 3*k - 29. Factor f(p).
3*(p + 4)*(p + 12)/2
Let y(f) be the first derivative of 4*f**3/9 - 5*f**2/6 + f/3 - 360. Factor y(b).
(b - 1)*(4*b - 1)/3
Let k(a) be the second derivative of 5*a**7/12 + 25*a**6/4 - 43*a**5/8 - 1195*a**4/24 - 35*a**3 + 55*a**2 + 721*a. Find g such that k(g) = 0.
-11, -1, 2/7, 2
Let b(k) be the second derivative of -k**5/4 + 40*k**4/3 + 3*k - 4. Suppose b(h) = 0. Calculate h.
0, 32
Let h(a) be the third derivative of -a**6/3060 + a**5/340 + 11*a**3/6 + 3*a**2. Let w(j) be the first derivative of h(j). Determine g so that w(g) = 0.
0, 3
Let q(z) be the first derivative of 8/3*z**3 + 4 - 1/100*z**5 + 1/900*z**6 + 0*z**2 + 0*z + 1/30*z**4. Let t(u) be the third derivative of q(u). Factor t(r).
2*(r - 2)*(r - 1)/5
Determine c so that 1/3*c**5 - 2/3*c**4 + 0 - 4*c - 28/3*c**2 - 19/3*c**3 = 0.
-2, -1, 0, 6
Let l = 77/4 + -115/6. Let u(j) be the second derivative of -1/30*j**6 + l*j**4 + 0 - 1/6*j**3 + 3*j + 1/20*j**5 + 0*j**2. Solve u(b) = 0.
-1, 0, 1
Let m(h) be the first derivative of 16*h**5/5 - 35*h**4 + 116*h**3 - 112*h**2 - 80*h + 84. Find t, given that m(t) = 0.
-1/4, 2, 5
Let s(k) be the second derivative of 5*k**7/42 - 2*k**6/3 + 25*k**4/6 - 5*k**3/6 - 15*k**2 - 4*k + 99. Find z such that s(z) = 0.
-1, 1, 2, 3
Let g be 2/(-12) - (-369)/714. Let o = -2/119 + g. Factor 0*m + 4/3 - o*m**2.
-(m - 2)*(m + 2)/3
Solve 7*w - 1/3*w**3 - 7/3*w**2 + 9 = 0.
-9, -1, 3
Let c(x) be the second derivative of -x**7/840 - 23*x**3/6 + 2*x. Let i(n) be the second derivative of c(n). Find y, given that i(y) = 0.
0
Let l(i) be the third derivative of i**6/180 - i**4/36 + 74*i**2. Factor l(x).
2*x*(x - 1)*(x + 1)/3
Let u(w) be the third derivative of w**9/12096 - w**8/3360 + w**6/720 - w**5/480 - 5*w**3/3 + 3*w**2. Let o(x) be the first derivative of u(x). Factor o(y).
y*(y - 1)**3*(y + 1)/4
Let h(j) = -20*j**2 - 22*j - 4. Let m be h(-3). Let z = m + 122. Solve -4/5*p**5 + 2/5*p + 6/5*p**z + 2/5*p**3 - 6/5*p**2 + 0 = 0.
-1, 0, 1/2, 1
Let u = -10 + -34. Let l = 45 + u. Factor l - 3/2*s + 1/2*s**2.
(s - 2)*(s - 1)/2
Let h = -13503/5 - -2709. Let l(v) be the first derivative of 33/8*v**2 + h*v**5 + 43/4*v**3 + 3/4*v + 2*v**6 + 219/16*v**4 + 4. Find b such that l(b) = 0.
-1, -1/4
Factor 0 - 1/8*f**2 + 31/4*f.
-f*(f - 62)/8
Let v(o) be the first derivative of -2*o**2 - 4/3*o**3 + 9 - 1/3*o**4 - 5*o. Let i(h) be the first derivative of v(h). Factor i(g).
-4*(g + 1)**2
Let b(h) be the first derivative of h**6/1620 + h**5/108 - h**4/18 - 9*h**3 + 12. Let f(i) be the third derivative of b(i). Factor f(q).
2*(q - 1)*(q + 6)/9
Let w(l) be the first derivative of 3*l**5/20 - l**4 - 17*l**3/6 - l**2 + 7*l/4 - 13. Factor w(p).
(p - 7)*(p + 1)**2*(3*p - 1)/4
Let d(k) be the third derivative of 1/210*k**5 + 0*k**4 + 0*k**3 + 16*k**2 + 0 + 0*k. What is f in d(f) = 0?
0
Let f(h) = -4*h**2 - h. Let g(z) = -5*z**2 + 40*z + 120. Let y(v) = 2*f(v) - g(v). Factor y(d).
-3*(d + 4)*(d + 10)
Let g(d) be the first derivative of 5*d**4/3 - 56*d**3/9 - 46*d**2/3 - 16*d/3 + 12. Factor g(z).
4*(z - 4)*(z + 1)*(5*z + 1)/3
Factor 260*p**2 - 192 + 2*p - 10*p - 256*p**2.
4*(p - 8