 l(v) = 0.
-1, 0
Let f(h) be the second derivative of 1/150*h**6 + 1/100*h**5 + 0 + 0*h**2 - 1/210*h**7 + 0*h**3 + 4*h - 1/60*h**4. Factor f(a).
-a**2*(a - 1)**2*(a + 1)/5
Let f = 3585/7 + -512. What is c in f*c**2 - 3/7 + 2/7*c = 0?
-3, 1
Suppose -4*c - 43 = 1. Let f be c/22 + (-5)/(-2). Determine q, given that 0*q + 1/3*q**f + 0 = 0.
0
Factor -7/4*r + 1/2 - 11/4*r**3 - 5*r**2.
-(r + 1)**2*(11*r - 2)/4
Factor 3/4 + 1/4*j**2 - 1/4*j**3 + 5/4*j.
-(j - 3)*(j + 1)**2/4
Let o(c) be the first derivative of -c**6/6 + c**4/4 + 25. Let o(b) = 0. Calculate b.
-1, 0, 1
What is q in -4/9*q**3 - 196/9*q**2 - 2300/9*q + 2500/9 = 0?
-25, 1
Let a(v) be the second derivative of -v**4/48 - 11*v**3/24 + 3*v**2/2 - 2*v + 27. Factor a(t).
-(t - 1)*(t + 12)/4
Let z(w) be the second derivative of -w**5/60 - w**4/12 - 5*w**2/2 + 20*w. Let m(p) be the first derivative of z(p). Let m(i) = 0. Calculate i.
-2, 0
Find n such that -4/9*n**2 + 0 - 49/9*n**4 + 0*n + 28/9*n**3 = 0.
0, 2/7
Let a(b) be the first derivative of -3*b**5/5 - 3*b**4/4 + 12. Factor a(h).
-3*h**3*(h + 1)
Let a(m) = m**2 + 2*m + 2 - 7*m - 3*m**3 - m**2 + 4*m**2. Let l(p) = -p**3 - p + 1. Let f(c) = -a(c) + 2*l(c). Solve f(w) = 0.
0, 1, 3
Let l be -12 + (12 - 4/(-26)). What is b in -6/13*b**2 + 2/13*b**3 - 4/13 - 10/13*b + l*b**4 = 0?
-1, 2
Let w(j) be the third derivative of -j**7/70 - 33*j**6/40 - 51*j**5/4 + 289*j**4/8 - 4*j**2 - 31*j. Factor w(s).
-3*s*(s - 1)*(s + 17)**2
Suppose -3*z - 4*d + 34 = -3*d, -4*z - 2*d = -48. Let x = 49 + z. Factor u**3 + x*u**4 - 58*u**4 + u**2 - 3*u**3.
u**2*(u - 1)**2
Suppose -65*j + 168 = 19*j. Factor 0 + 2/5*d**j + 0*d**4 + 0*d - 1/5*d**5 + 3/5*d**3.
-d**2*(d - 2)*(d + 1)**2/5
Let f(d) = d**3 - 57*d**2 - 12*d - 2666. Let m be f(58). Factor -16/7*r - 12/7*r**m + 0*r**3 + 2/7*r**4 - 6/7.
2*(r - 3)*(r + 1)**3/7
Suppose -2*l + 15*l - l = 0. Let f(d) be the second derivative of -2/3*d**4 + 5/42*d**7 + 3/5*d**5 + 0 + 0*d**2 - 7*d + l*d**3 + 3/5*d**6. Factor f(i).
i**2*(i + 2)**2*(5*i - 2)
Let q(h) be the third derivative of h**5/90 - h**4/36 - 56*h**3/9 - 196*h**2. Find k such that q(k) = 0.
-7, 8
Factor 39/2*d**2 - 3/2*d**3 + 225/2 - 165/2*d.
-3*(d - 5)**2*(d - 3)/2
Let c(o) be the third derivative of -o**8/28 - o**7/70 + 7*o**6/10 - 17*o**5/20 - 3*o**4/4 + o**2 - 61. Solve c(s) = 0 for s.
-3, -1/4, 0, 1, 2
Let 18*i**2 + i + 4*i - 3*i - 17*i**2 = 0. Calculate i.
-2, 0
Let d be 5*6/75 - 28/(-30). Let -2/3*v**2 + 0 + d*v = 0. Calculate v.
0, 2
Suppose 4*v = 19*v - 30. Find a, given that -17*a**3 + 30*a - 15*a**4 + 2*a**3 + 92*a**v + 5*a**5 - 57*a**2 = 0.
-1, 0, 2, 3
Let i(k) be the first derivative of k**4/34 + 2*k**3/17 - 46*k**2/17 - 96*k/17 + 253. Factor i(m).
2*(m - 6)*(m + 1)*(m + 8)/17
Suppose 15 = -2*p - p, 5*p + 33 = 4*y. Let x be (-100)/(-26) + -4 + y/13. Find u such that -1/6*u**3 + 1/3*u**2 + x*u + 0 = 0.
0, 2
Suppose 4*i = 5*c + 225, -4*i = -c - 19 - 186. Factor -54 + 2*z**5 - 16*z**4 - 76*z**2 + 56*z + 12 + 26 + i*z**3.
2*(z - 2)**3*(z - 1)**2
Let t(k) be the second derivative of k**4/12 - 27*k**3/2 + 40*k**2 - 266*k. Suppose t(b) = 0. What is b?
1, 80
Let w(f) be the first derivative of f**6/12 - 7*f**5/10 - 19*f**4/4 - 31*f**3/3 - 43*f**2/4 - 11*f/2 + 89. Factor w(b).
(b - 11)*(b + 1)**4/2
Let h(w) = w**3 + w**2 - w - 1. Let i(q) = -q - 8. Let k be i(-6). Let n(v) = v**3 + 3*v**2 - v - 3. Let s(f) = k*n(f) + 6*h(f). Factor s(o).
4*o*(o - 1)*(o + 1)
Let z(s) be the second derivative of 7*s**5/40 + 37*s**4/24 + 13*s**3/3 + 3*s**2 + 293*s. Determine a so that z(a) = 0.
-3, -2, -2/7
Let p(o) be the third derivative of -3*o**8/112 - 29*o**7/70 + 43*o**6/40 - 11*o**5/20 - 49*o**2. Find b, given that p(b) = 0.
-11, 0, 1/3, 1
Factor 5/2*i**2 + 8405/2 - 205*i.
5*(i - 41)**2/2
Let k be ((-15)/(-7) + -2)/(-2 + (-34)/(-14)). Let g be 2 + 0*(-1)/2. Solve -1/6*m + 1/6*m**g - k = 0 for m.
-1, 2
Let d(i) be the third derivative of -i**8/25200 - i**7/1050 + 7*i**5/20 - 3*i**2. Let t(g) be the third derivative of d(g). Factor t(f).
-4*f*(f + 6)/5
Factor -1/2*i**2 + 1/6*i + 1/3 + 1/6*i**4 - 1/6*i**3.
(i - 2)*(i - 1)*(i + 1)**2/6
Let w be 8/(-26)*(-4)/18. Let q = w + 46/117. Factor -q*s + 8/13 - 2/13*s**2.
-2*(s - 1)*(s + 4)/13
Let o(s) be the first derivative of s**6 - 27*s**5/5 + 21*s**4/4 + 14*s**3 - 18*s**2 - 24*s - 128. Determine u so that o(u) = 0.
-1, -1/2, 2
Suppose -5 = -8*h + 11. Let d be ((-6)/(-8))/(2/8). Find w, given that -1 - 5*w**3 + d - 62*w**h + 5*w + 60*w**2 = 0.
-1, -2/5, 1
Suppose 77*b + 36*b = -41*b - 53*b. Suppose 0 - 2/13*g**2 + b*g = 0. What is g?
0
Let s(d) = 2*d**4 + 4*d**3 - 8*d**2 - 10*d. Let n be (-1 - 3/3)/(2/6). Let k(g) = -g**2 - g. Let c(a) = n*k(a) + s(a). Determine h, given that c(h) = 0.
-2, -1, 0, 1
Let n(y) be the first derivative of -y**7/70 + y**6/40 + 9*y**5/20 + 11*y**4/8 + 2*y**3 - 3*y**2/2 - 48. Let f(z) be the second derivative of n(z). Factor f(d).
-3*(d - 4)*(d + 1)**3
Let c(t) be the third derivative of -t**6/30 + 9*t**4/2 - 36*t**3 + 275*t**2 + 2*t. Determine y, given that c(y) = 0.
-6, 3
What is j in -10/7*j**3 + 2/7*j**5 - 2/7*j**4 + 2/7*j**2 + 8/7 + 16/7*j = 0?
-1, 2
Let j(y) be the first derivative of 3*y**5/5 - y**4/4 - 3*y**3/2 - 23*y - 28. Let g(r) be the first derivative of j(r). Factor g(p).
3*p*(p - 1)*(4*p + 3)
Let z be (-1)/1 - 6/(-2). Factor -11*k + 8*k + 12*k**z - 9*k - 3*k**3.
-3*k*(k - 2)**2
Let t be 405/(-648)*6/(-20). Let i(u) be the first derivative of 3/8*u**2 + 0*u + t*u**4 - 1/2*u**3 - 3. What is p in i(p) = 0?
0, 1
Let n be ((-5 + 5)/(-2))/(-4). Let v(l) be the second derivative of n*l**3 + 0*l**5 + 0 + 1/60*l**6 - 1/12*l**4 + 1/4*l**2 + l. Suppose v(x) = 0. Calculate x.
-1, 1
Let w(m) be the first derivative of -3*m**5/10 + 15*m**4/8 + 7*m**3/2 - 15*m**2/4 - 9*m - 16. Find k, given that w(k) = 0.
-1, 1, 6
Let c(i) be the second derivative of -i**6/10 - 21*i**5/20 - 3*i**4 + 2*i**3 + 24*i**2 - 9*i. Factor c(l).
-3*(l - 1)*(l + 2)**2*(l + 4)
Find f such that -44 + 50 + 138 + 749*f**2 + 24*f - 748*f**2 = 0.
-12
Let f(i) be the first derivative of 7*i + 1/2*i**3 + 7 + 1/4*i**4 - 3*i**2. Let c(m) be the first derivative of f(m). Solve c(b) = 0.
-2, 1
Factor 1/3*s**3 + s**2 - 1/3*s**4 - 5/3*s + 2/3.
-(s - 1)**3*(s + 2)/3
Let w(r) be the second derivative of -r**8/2240 + r**7/210 - r**6/60 - 2*r**4/3 - 10*r. Let o(j) be the third derivative of w(j). Factor o(l).
-3*l*(l - 2)**2
Let v(q) be the second derivative of 0*q**3 + q + 3/80*q**5 + 0 + 0*q**2 - 3/16*q**4. Determine j, given that v(j) = 0.
0, 3
Let l(r) = 8*r**2 - 12*r - 23. Let v(a) = a**2 - 3*a - 1. Let o(z) = 2*l(z) - 18*v(z). Determine w so that o(w) = 0.
1, 14
Let n(v) = 2*v + 12. Let s be n(-8). Let f be s + 1 + (5 - 2). Factor 0*c + 2/5*c**3 + 0 + f*c**2 - 2/5*c**4.
-2*c**3*(c - 1)/5
Let d(r) = 4*r + 7 - 11 - 17 + 17*r**2. Let i(n) = -n**2. Let v(w) = -10*w**2 - 2*w + 10. Let h(c) = -2*i(c) + v(c). Let a(b) = -6*d(b) - 13*h(b). Factor a(j).
2*(j - 1)*(j + 2)
Let u(t) be the third derivative of t**6/72 + 13*t**5/270 - t**4/18 - 4*t**3/27 + 15*t**2 + 5*t. Let u(m) = 0. Calculate m.
-2, -2/5, 2/3
Let f(j) be the first derivative of -j**8/1680 - j**7/840 + 7*j**3/3 - 1. Let b(g) be the third derivative of f(g). Let b(d) = 0. What is d?
-1, 0
Suppose 4*s = -5*b + 1160, -4*b + 3*s - 94 = -991. Factor 3 + b*l - 4*l**4 + 12*l**3 - 3 - 244*l.
-4*l*(l - 2)**2*(l + 1)
Let n = 2162 + -2162. Factor 3/7*d**3 + n + 3/7*d - 6/7*d**2.
3*d*(d - 1)**2/7
Suppose -27*z + 3 = -26*z. Factor 4*v**z - 9*v + 7*v + 8*v**2 - 10*v.
4*v*(v - 1)*(v + 3)
Let i = -1/158 - -45/869. Let q(z) be the second derivative of 0*z**2 - 2/33*z**3 - 1/110*z**5 + i*z**4 + 0 + 2*z. Factor q(a).
-2*a*(a - 2)*(a - 1)/11
Let u(d) be the first derivative of -2/11*d**5 + 0*d - 2/11*d**2 - 9/22*d**4 - 5 - 1/33*d**6 - 14/33*d**3. Factor u(j).
-2*j*(j + 1)**3*(j + 2)/11
Let c(n) be the second derivative of -5*n**4/12 + 15*n**3/2 - 20*n**2 + 42*n. Suppose c(r) = 0. Calculate r.
1, 8
Let x be (-3 - (-7 + 6))*(5 + 62/(-12)). Factor x*i**2 - i - 10/3.
(i - 5)*(i + 2)/3
Let c = 1943/10 + -194. Let g(p) be the first derivative of 0*p**2 + 0*p - 4/25*p**5 + 4/15*p**3 + c*p**4 - 1/5*p**6 - 8. Solve g(y) = 0 for y.
-1, -2/3, 0, 1
Let f = 113 - 108. Factor f*h + 8*h**2 - h**5 - 6*h**2 - 10*h**4 + 2 - 4*h**3