f**5 + 1/2*f**4 + 0.
-f**3*(f - 2)*(f - 1)/6
Let w(x) be the first derivative of 5*x**3/3 - 30*x**2 + 100*x - 80. Factor w(h).
5*(h - 10)*(h - 2)
Let m(a) be the second derivative of -17*a**4/4 - a**3 - a - 60. Factor m(g).
-3*g*(17*g + 2)
Suppose -8*i = -12*i + 16. Suppose 3*u = 2*b + 4, 2*u = -3*b - 1 + 8. Suppose 10*r**3 - u*r**3 + 0*r**4 + i*r**4 = 0. What is r?
-2, 0
Let u(k) = 2*k**4 - 6*k**3 - 4*k**2 + 4*k. Let a(r) = r**4 - r**3 - r**2 + r. Let l = 0 + 17. Let x = l - 13. Let t(i) = x*a(i) - u(i). Factor t(w).
2*w**3*(w + 1)
Let b = 14 - 21. Let h = -7 - b. Factor -12*u**3 + 2*u + 10*u**3 + 2*u**2 + h*u**4 - 2*u**4.
-2*u*(u - 1)*(u + 1)**2
Let k(n) = -n**3 - n + 28. Let v be k(0). Find a, given that -51*a + 2*a**3 + v*a - 2*a**4 + 23*a = 0.
0, 1
Let g(p) = -5*p - 133. Let b be g(-28). Suppose -3*i - b = -d, -15*d + 3*i = -18*d + 9. Suppose 2/5*t**3 + 0*t + 2/5*t**d + 0*t**2 + 0 = 0. What is t?
-1, 0
Factor -21 + 3*t - t**3 + 81 + 4*t**3 - 12*t**2 - 27 - 15.
3*(t - 3)*(t - 2)*(t + 1)
Let h(l) be the third derivative of l**7/735 - l**6/140 - 3*l**5/70 - 5*l**4/84 - 2*l**2 + 87*l. Find x such that h(x) = 0.
-1, 0, 5
Let s = 483 + -467. Let d(p) be the first derivative of s*p - 1 - 4/3*p**3 + 0*p**2. Let d(w) = 0. What is w?
-2, 2
Suppose 0 = -6*w + 10 + 2. Solve -5*x**3 - 2*x**5 - w*x**3 + 5*x**3 + x**4 + 3*x**4 = 0 for x.
0, 1
Let x(o) be the first derivative of -2*o**6/3 + 8*o**5/5 + 4*o**4 - 32*o**3/3 + 54. Factor x(c).
-4*c**2*(c - 2)**2*(c + 2)
Let k be ((-40)/32)/((-1)/8). Determine b so that 7*b**3 - k - 20*b**2 - 2*b**3 - 41*b + 66*b = 0.
1, 2
Let f(x) = x**3 - 34*x**2 - 44*x + 317. Let r be f(35). Find n such that -14 - 2/7*n**r - 4*n = 0.
-7
Suppose -5*z + 26 + 64 = 0. Suppose -2*x - 3*r + 10 = 0, 0 = -5*x - 4*r + 21 + z. Factor -10*q**2 - 16*q + 3 - 5*q**3 - x + 3*q**3.
-2*(q + 1)*(q + 2)**2
Suppose 312*s - 1534 = 158 - 444. Factor 0 - 125/2*c + 1/2*c**s + 75/2*c**2 - 15/2*c**3.
c*(c - 5)**3/2
Let -13/5*f - 6/5 + 2/5*f**4 + 6/5*f**3 - 4/5*f**2 - 1/5*f**5 = 0. Calculate f.
-1, 2, 3
Let f = -576 + 588. Let l = 4 - 8. Let r(p) = p**5 - 3*p**4 - 4*p**3 + 3*p. Let h(g) = -g**4 - g**3 + g. Let a(s) = f*h(s) + l*r(s). Factor a(i).
-4*i**3*(i - 1)*(i + 1)
Let f(i) be the second derivative of i**5/20 - 33*i**4/16 + 27*i**3 - 54*i**2 + 69*i - 1. Factor f(t).
(t - 12)**2*(4*t - 3)/4
Find t such that -3*t + 7*t**2 - 36 - 6*t**2 + 3*t**2 + 3*t = 0.
-3, 3
Let z(g) = 0*g + 13*g - 135 - 18*g. Let v be z(-27). Factor -1/2*a**4 + 2/3*a**5 - 1/6*a**3 + v*a**2 + 0 + 0*a.
a**3*(a - 1)*(4*a + 1)/6
Let v be 15/21*(4 - 68/20). Find b, given that -6/7*b - 3/7 - v*b**2 = 0.
-1
Suppose -3 = l + 16*o - 15*o, -5*o - 27 = -l. Factor -12/7 - 3/7*j**3 - 24/7*j - 15/7*j**l.
-3*(j + 1)*(j + 2)**2/7
Let o be (-11)/(-15) + 2/(-6). Suppose l - 23*l + 66 = 0. Find r such that 0*r**2 + 2/5*r**l - o*r + 0 = 0.
-1, 0, 1
Suppose 2/21*j**2 + 18/7*j - 8/3 = 0. What is j?
-28, 1
Suppose 6*p - 9 = -21. Let b be ((7/p)/7)/(1/(-1)). Factor -3*u**2 - b*u**4 - 2*u**3 - 2*u - 1/2.
-(u + 1)**4/2
Let b(w) be the first derivative of w**6/600 + w**5/300 - w**4/15 - 2*w**3/5 - 8*w**2 + 19. Let p(s) be the second derivative of b(s). Factor p(z).
(z - 3)*(z + 2)**2/5
Let k(l) be the second derivative of l**8/7840 - l**7/2205 + l**6/2520 + l**4/12 - 10*l. Let f(b) be the third derivative of k(b). Factor f(y).
2*y*(y - 1)*(3*y - 1)/7
Let s be 0 + (3 - -1 - -23). Factor s*j - 10 - 11*j - 2*j**2 + 1 - 5.
-2*(j - 7)*(j - 1)
Let a be (-6)/(-2)*4/12*4. Factor r**3 + 3*r**3 - 5*r**4 - 3*r**4 + a*r**5.
4*r**3*(r - 1)**2
Let q(k) = -k**2 - 8*k + 45. Let h be q(-10). Let j = -23 + h. Factor 6/11*u + 4/11 + 2/11*u**j.
2*(u + 1)*(u + 2)/11
Let m(q) be the first derivative of -q**5/15 + q**4/4 + q**3 + 5*q**2/6 + 156. Solve m(p) = 0 for p.
-1, 0, 5
Let c = 8/341 - -309/1364. Let c*j**5 - 2*j + j**2 - 5/4*j**4 + 0 + 3/2*j**3 = 0. What is j?
-1, 0, 2
Suppose 48 + 4/3*k**2 - 56*k + 6*k**3 + 2/3*k**4 = 0. Calculate k.
-6, 1, 2
Suppose 5*q - 40 = 5*g, 2*q - 14 = -5*g + 6*g. Let u(j) be the first derivative of 4/9*j**3 + 0*j**2 + q + 0*j + 1/6*j**4. Factor u(v).
2*v**2*(v + 2)/3
Suppose -83*z = -79*z - 60. Let a be -1 - -1 - ((-36)/z)/6. Factor 2/5*l**2 - 6/5*l**3 + 6/5*l - a.
-2*(l - 1)*(l + 1)*(3*l - 1)/5
Suppose -2*n - 14 + 34 = 4*j, n = 5*j - 11. Factor n + 6 + 4*b + 4*b - 2 + 2*b**2.
2*(b + 2)**2
Suppose 3*x = 5*x - 126. Suppose 66*h - x*h - 15 = 0. Factor -2*k**2 - 2*k**4 + 1/2*k + 1/2*k**h + 3*k**3 + 0.
k*(k - 1)**4/2
Factor -19*a**2 - 2*a**3 + 6*a + 33*a**2 - 10*a**2.
-2*a*(a - 3)*(a + 1)
Let m(z) be the third derivative of -z**5/130 + 2*z**4/39 - 4*z**3/39 + 218*z**2. Factor m(c).
-2*(c - 2)*(3*c - 2)/13
Factor -12/5*d**2 + 54/5 + 3/5*d**3 - 9*d.
3*(d - 6)*(d - 1)*(d + 3)/5
Let s(i) be the second derivative of 17*i - 2/5*i**5 - 2/5*i**6 + 0 + 0*i**4 + 0*i**3 - 2/21*i**7 + 0*i**2. Determine p, given that s(p) = 0.
-2, -1, 0
Let m(j) be the third derivative of 1/6*j**4 - 48*j**2 + 0*j**3 + 0*j + 1/15*j**5 + 0. Factor m(b).
4*b*(b + 1)
Let w(p) be the first derivative of -p**6/240 + p**4/16 + 4*p**3/3 - 7. Let f(k) be the third derivative of w(k). Factor f(y).
-3*(y - 1)*(y + 1)/2
Let n be -21 - 4/((-8)/6). Let u(v) = -v**3 - 19*v**2 - 17*v + 24. Let y be u(n). Solve -3/2 - 15/2*f**2 - 3*f**3 - y*f = 0.
-1, -1/2
Let z(j) be the third derivative of -12/7*j**3 + 0*j - 1/210*j**5 + 1/7*j**4 + 0 - 47*j**2. Factor z(b).
-2*(b - 6)**2/7
Let d(q) be the third derivative of q**6/1800 - q**5/600 + 17*q**3/6 + 8*q**2. Let z(y) be the first derivative of d(y). Solve z(p) = 0 for p.
0, 1
Let u = -243 - -247. Let a(t) be the first derivative of 4/9*t**3 + 0*t - 1/12*t**u + 6 - 2/3*t**2. Let a(n) = 0. What is n?
0, 2
Let r be (-45)/(-54) - (-1)/(-2). Let u be (-1*5/10)/((-2)/((-20)/(-15))). Find x such that 0 + r*x + u*x**2 = 0.
-1, 0
Let j = 2061 - 2061. Suppose j - 23/2*w**3 - 2*w - 7/2*w**4 - 10*w**2 = 0. Calculate w.
-2, -1, -2/7, 0
Let g(b) be the third derivative of -b**8/1344 + b**6/240 - b**4/96 - 79*b**2. What is u in g(u) = 0?
-1, 0, 1
Let u be (-124)/31 + (-21)/(-5) + 3. Suppose 4*i**2 - 12/5*i**3 + u*i**5 - 4*i**4 - 4/5*i + 0 = 0. What is i?
-1, 0, 1/4, 1
Determine a, given that 26*a - 9*a**2 - 29*a + 0*a**2 + 9 + 3*a**3 = 0.
-1, 1, 3
What is b in -5*b**4 + 17*b**3 + 22*b**3 + 60 + 165*b**2 + 175*b + 6*b**3 = 0?
-1, 12
Suppose -78 = 2*a - 82. Factor 13*c**2 + 13*c**2 - 21*c**a.
5*c**2
Suppose 2*f - 11 = l, -7*l = -2*f - 2*l + 23. Find c, given that -3 + 3 - 16*c + 16*c**2 + 1144*c**4 + c**5 - 1148*c**f = 0.
-2, 0, 2
Let n be (11/26 - 6/12)*1. Let h = 18/65 + n. Factor -h*g + 1/5*g**2 + 0.
g*(g - 1)/5
Let c be (-42)/21 + 176/40. Factor 0*o + 0 - c*o**5 - 27/5*o**4 - 3/5*o**2 - 18/5*o**3.
-3*o**2*(o + 1)**2*(4*o + 1)/5
Let c be 0 + 13/4 + (-16)/64. Let f(y) be the third derivative of 1/120*y**6 + 1/20*y**5 + 1/6*y**c + 0 - 3*y**2 + 1/8*y**4 + 0*y. Factor f(b).
(b + 1)**3
Let g = -4 - -8. Suppose -4*q = 5*o - 170, 2*o - q = -o + 102. Find n, given that -14*n**2 + 27*n - g*n**2 - o*n**3 + 37*n**3 = 0.
0, 3
Suppose 57/2*f**2 + 1/2*f**3 + 783/2*f - 841/2 = 0. Calculate f.
-29, 1
Let i be ((-7)/(-15) - 80/100)*(-3)/3. Factor 0*w + 4/3*w**4 + w**3 + 0*w**2 + 0 + i*w**5.
w**3*(w + 1)*(w + 3)/3
Let p(o) = 1287 + 2*o**2 - 1295 + 11*o - o**2. Let g be p(-12). Factor -4/5*b**5 - 4/5*b**g + 0*b + 0 + 4/5*b**3 + 4/5*b**2.
-4*b**2*(b - 1)*(b + 1)**2/5
Let k(j) = 19*j**4 - 68*j**3 + 39*j**2 + 59*j - 49. Let i(r) = 9*r**4 - 33*r**3 + 19*r**2 + 29*r - 24. Let u(h) = -9*i(h) + 4*k(h). Factor u(p).
-5*(p - 4)*(p - 1)**2*(p + 1)
Factor -25*g + 35/3*g**2 + 15 - 5/3*g**3.
-5*(g - 3)**2*(g - 1)/3
Let m(x) be the third derivative of x**8/90720 + x**7/22680 - 11*x**5/30 - 33*x**2. Let o(w) be the third derivative of m(w). Let o(t) = 0. Calculate t.
-1, 0
Let n(g) = -4*g**3 + 298*g**2 - 578*g + 286. Let d(k) = -8*k**3 + 597*k**2 - 1155*k + 571. Let s(v) = -2*d(v) + 5*n(v). Let s(t) = 0. Calculate t.
1, 72
Let m(i) be the second derivative of -i**4/12 + 7*i**3/6 - 43*i - 2. Factor m(n).
-n*(n - 7)
Let i(w) = w**2 + 14*w - 5. Let k(c) = c - 1. Let d(o) = -2*o**2 - 2*o + 1. Let m be d(1). Let j(g) = m*i(g) + 15*k(g). Factor j(z).
-3*z*(z + 9)
Let c(j) = 15*j + 36. Let y be c(-4). Let h be (22/(-363))/(-3 + y/(-9)). Factor h*r