- 20*y**2.
-5*y*(y - 2)**2*(2*y - 1)**2
Suppose 5 + 4 = 3*g. Solve -22*h + 25*h + 3*h**2 + 9 - 18*h + g*h**3 = 0 for h.
-3, 1
Suppose 9 = 3*f - 9. Suppose 3*y = -0*y + f. Suppose 0*w - 2*w - 4*w**3 + 6*w**2 + w**4 + 1 - y*w = 0. Calculate w.
1
Let o = -218 - -218. Let f(i) be the third derivative of 1/105*i**7 + 0*i - 5*i**2 + 0*i**6 + 0*i**3 - 1/6*i**4 - 1/10*i**5 + o. Suppose f(b) = 0. Calculate b.
-1, 0, 2
Let r be 1/(1/(-4 - -8)). Let k(b) be the second derivative of 1/84*b**7 + 1/40*b**5 + 0 - 1/30*b**6 + 0*b**3 + 0*b**2 + 0*b**r + 6*b. Factor k(i).
i**3*(i - 1)**2/2
Let i(a) = -4*a**3 - 4*a**2 + 15*a - 7. Let p(l) = -2*l**3 - 2*l**2 + 7*l - 3. Let s(u) = 3*i(u) - 5*p(u). Find x, given that s(x) = 0.
-3, 1
Let b(t) be the second derivative of -t**5/100 - t**4/30 - t**3/30 + 146*t. Factor b(j).
-j*(j + 1)**2/5
Suppose -4*r**2 + 16/5*r**5 - 12/5*r - 76/5*r**4 + 0 + 92/5*r**3 = 0. Calculate r.
-1/4, 0, 1, 3
Suppose q = 3 - 1, 4*q = 2*i - 228. Let f = i - 118. Factor 1/9*s**2 + f + 1/3*s.
s*(s + 3)/9
Let z(q) be the first derivative of 4 - 15/2*q**2 - 20*q + 5/3*q**3. Determine m so that z(m) = 0.
-1, 4
Factor -62*i**4 + 4*i**2 - 18*i**2 + 64*i**4 - 24*i**3 + 12*i**3.
2*i**2*(i - 7)*(i + 1)
Suppose 11*u = 7 + 15. Let r(p) be the second derivative of -1/2*p**3 + 6*p - 3/2*p**u + 1/4*p**4 + 0 + 3/20*p**5. Factor r(v).
3*(v - 1)*(v + 1)**2
Let p(n) be the second derivative of -n**5/10 + 55*n**4/2 - 2241*n**3 - 6889*n**2 + 244*n. Suppose p(c) = 0. Calculate c.
-1, 83
Let i(o) = -5*o - 180. Let v be i(-36). Let s(q) be the first derivative of 0*q**2 + 1/6*q**6 - 5 - 7/20*q**5 + v*q + 1/8*q**4 + 1/12*q**3. Factor s(p).
p**2*(p - 1)**2*(4*p + 1)/4
Let n be (-544)/(-476)*14/24. Solve -1/3*k**2 + n*k - 1/3 = 0 for k.
1
Let f(g) = 7*g**5 + 3*g**4 + 21*g**3 - 7*g**2 + 6*g. Let a(m) = 15*m**5 + 7*m**4 + 45*m**3 - 15*m**2 + 13*m. Let s(z) = -6*a(z) + 13*f(z). Solve s(d) = 0 for d.
0, 1
Suppose -21 = -5*k - v, -k = 4*k - 4*v - 41. Determine l so that 1/3*l**2 - 5/3*l**3 + 0 + 0*l + 7/3*l**4 - l**k = 0.
0, 1/3, 1
What is i in 31*i + 17*i - 44 + 4*i**2 - 8*i = 0?
-11, 1
Suppose 8*j - 500 = 6*j. Let f = 1254/5 - j. Solve -2/5*c + f - 2/5*c**2 = 0.
-2, 1
Let j(c) be the second derivative of c**7/42 + c**6/30 - 9*c**5/20 - 13*c**4/12 + 4*c**3/3 + 6*c**2 - 70*c. Find x such that j(x) = 0.
-2, -1, 1, 3
Let n(c) be the second derivative of c**5/70 + 3*c**4/14 - 313*c. Determine t, given that n(t) = 0.
-9, 0
Let c = 370 - 735/2. Suppose -25 = -5*p - 5*i, -p + 2*p - 2*i = -4. Solve 6*k**3 - 9*k**4 + 4*k**p + 0 + c*k**5 + 0*k = 0.
-2/5, 0, 2
Let y(z) be the second derivative of -5*z**7/42 + 2*z**6/3 - z**5/4 - 35*z**4/6 + 50*z**3/3 - 20*z**2 + 94*z. Find k, given that y(k) = 0.
-2, 1, 2
Let n = 4 - -1. Let t = -923 - -925. Determine u so that t*u**4 - 3*u**3 - 1/2*u + 0 + 2*u**2 - 1/2*u**n = 0.
0, 1
Suppose 1 = -5*b + 6. Let d(q) = -q**3 + q + 2. Let w(f) = -105*f - 104*f + 423*f - 108*f - 105*f. Let n(h) = b*d(h) + 2*w(h). Factor n(k).
-(k - 2)*(k + 1)**2
Let j(v) be the first derivative of 2/9*v**3 + 10 + 4/3*v**2 + 2*v. Solve j(u) = 0.
-3, -1
Suppose -14 - 2 = 2*w - 5*n, -w + 3*n = 10. Let 4*z + w*z**2 + z - 4*z + 5*z + 4 = 0. Calculate z.
-2, -1
Suppose -19*g = 3*g + 14*g - 72. Let d be 6/(-15)*(-2)/4. Solve d*f**3 + 2/5*f**g + 0 + 1/5*f = 0 for f.
-1, 0
Let s(u) = -7*u**2 + 9*u + 6. Let w(a) = 6*a**2 - 8*a - 6. Suppose -14*y = -3*y - 55. Let r(g) = y*w(g) + 4*s(g). Solve r(c) = 0.
-1, 3
Let q(h) be the first derivative of h**5/5 - h**4 + 4*h**3/3 - 270. Factor q(c).
c**2*(c - 2)**2
Let b = -48 - -56. Factor 2*k**4 + 2*k**3 + 0*k**3 + 2 - 4*k**3 + k**5 - 4 - 7*k - b*k**2.
(k - 2)*(k + 1)**4
Let v = 1 - -2. Let l(j) = j**2 - 18*j - 140. Let c be l(24). Factor 5/2*r**2 - 1/2*r**v - c*r + 2.
-(r - 2)**2*(r - 1)/2
Let w = -62/5 - -64/5. Suppose -3*c + 2*y = 6, c = y - 2 - 1. What is p in c*p + 2/5*p**5 - 4/5*p**2 + 4/5*p**4 + 0 - w*p**3 = 0?
-2, -1, 0, 1
Let c be (-8)/((-24)/1)*6. Let q(v) be the third derivative of 0 + 0*v - 1/30*v**6 + 5/6*v**4 + v**2 + c*v**3 + 1/15*v**5. Factor q(g).
-4*(g - 3)*(g + 1)**2
Let a = -38 - -40. Factor -55*d**a + 243*d - 729 - 38*d**2 + 66*d**2 + d**3.
(d - 9)**3
Determine p so that 4 - 200/9*p**2 + 94/3*p + 34/9*p**3 = 0.
-2/17, 3
Let c(w) be the second derivative of w**7/189 - 14*w**6/135 + 16*w**5/45 + 64*w**4/27 + 2*w - 229. Solve c(k) = 0 for k.
-2, 0, 8
Let w(d) be the third derivative of -6*d**2 + 0*d + 1/10*d**4 - 3/5*d**3 + 0 - 1/150*d**5. Solve w(y) = 0.
3
Suppose -5*h = 5*j + 9 - 29, h = -5*j. Let l(y) be the second derivative of -5/21*y**3 - 2/21*y**4 - 1/70*y**h - 2/7*y**2 - 6*y + 0. Factor l(f).
-2*(f + 1)**2*(f + 2)/7
Suppose -4*q + 13 = z, 18*q - 12 = 22*q - 4*z. Find p, given that 98/9 - 2/9*p**3 + 10/3*p**q - 14*p = 0.
1, 7
Let r(k) = k + 7. Let b be r(-7). Suppose 0 = -4*t + 5*x + 22, 2*t + x + b*x - 4 = 0. Determine v so that 0 + 2/3*v**2 + 4/9*v + 2/9*v**t = 0.
-2, -1, 0
Let c be (0/(-2))/((-22)/(-11)). Suppose 0*u - 2*u + 22 = c. Suppose s**2 + 2*s**2 - 10*s + 3*s**3 + s**4 + u*s = 0. What is s?
-1, 0
Suppose 4 = 2*r, 2*z - 3*z = -2*r - 32. Factor 20*a**3 - z*a**2 + 24*a**3 + 60*a - 54*a**2 + 40 - 19*a**3.
5*(a - 2)**2*(5*a + 2)
Let r(z) be the third derivative of z**5/150 + z**4/30 - 8*z**3/15 + 15*z**2. Factor r(v).
2*(v - 2)*(v + 4)/5
Let r(g) be the second derivative of 0 + 8/3*g**3 + 42*g - 6*g**2 - 1/3*g**4. Factor r(i).
-4*(i - 3)*(i - 1)
Let d = 43281 + -43277. Factor -16/7*g - 48/7*g**3 + 18/7*g**d + 2/7 + 44/7*g**2.
2*(g - 1)**2*(3*g - 1)**2/7
Suppose -143 + 47 = -6*m. Let l be (m/(-4) + 2)*-1. Factor 2/7*c**l + 18/7 + 12/7*c.
2*(c + 3)**2/7
Find o such that 121/2*o - 14641/4 - 1/4*o**2 = 0.
121
Suppose 5*v + 33 = 43. Let 0*l**v + 6 - 2*l**2 + 11*l - 7*l = 0. Calculate l.
-1, 3
Let h(c) be the third derivative of 0*c**4 + 12*c**2 + 0*c - 1/165*c**5 - 1/1155*c**7 + 0 - 1/220*c**6 + 0*c**3. Factor h(b).
-2*b**2*(b + 1)*(b + 2)/11
Let l be (10 + 104/(-8))/((-2)/2). Factor 5/9*w**l + 0 - 7/9*w**2 + 2/9*w.
w*(w - 1)*(5*w - 2)/9
Suppose 1187*q - 45 = 1172*q. Suppose 0 - 6/7*a**2 - 2*a**q + 0*a - 2/7*a**5 - 10/7*a**4 = 0. What is a?
-3, -1, 0
Let q be 1 - 1*-1 - -1. Let v = 113 + -113. What is j in 3*j**q + j + v*j**3 - 4*j**3 = 0?
-1, 0, 1
Let f be (28/35)/(1/5). Let x(h) be the second derivative of 5/14*h**7 - 3*h + 5/2*h**f - 3*h**2 + 0 - 3/5*h**5 - 4/5*h**6 - 1/2*h**3. Solve x(k) = 0 for k.
-1, -2/5, 1
Let u(p) = 8*p**3 + 35*p**2 + 35*p + 8. Let w(d) = 15*d**3 + 70*d**2 + 70*d + 15. Let m(g) = 5*u(g) - 2*w(g). Factor m(f).
5*(f + 1)*(f + 2)*(2*f + 1)
Let d(t) be the third derivative of 0*t + 0 - 1/5*t**5 - 1/40*t**6 - 5/8*t**4 - t**3 + 15*t**2. Find k such that d(k) = 0.
-2, -1
Let t be 5/(25/20) + 0. What is v in 9*v**2 - 3*v**t - 9*v**3 + v**3 - v**3 + 3*v**5 - 2*v + 2*v**4 = 0?
-2, 0, 1/3, 1
Let i(c) = 28*c**2 - 158*c + 66. Let k(f) = -140*f**2 + 793*f - 333. Let y(s) = -11*i(s) - 2*k(s). Let y(j) = 0. What is j?
3/7, 5
Suppose 10*f + 33 = 13*f. Factor 15*n**3 + f*n**3 - 30*n**3 + 2*n**4.
2*n**3*(n - 2)
Let z(s) = 9*s**3 + 62*s**2 + 22*s + 215. Let f be z(-7). Let 24 - f*u + 3/2*u**2 = 0. Calculate u.
4
Let n(d) be the second derivative of d**5/140 - d**4/28 + 3*d**2 - 5*d. Let c(z) be the first derivative of n(z). Suppose c(b) = 0. What is b?
0, 2
Let j(s) be the first derivative of -s**7/1400 + 3*s**6/200 - 3*s**5/25 + 2*s**4/5 - s**3 - 26. Let g(l) be the third derivative of j(l). Factor g(f).
-3*(f - 4)**2*(f - 1)/5
Let f(y) be the first derivative of y**4/12 + 7*y**3/9 + y**2 + 642. Factor f(s).
s*(s + 1)*(s + 6)/3
Let c = -14156/5 - -2833. Factor -3/5*u**5 + c*u - 6/5*u**3 + 3/5 - 9/5*u**4 + 6/5*u**2.
-3*(u - 1)*(u + 1)**4/5
Let u = -23 + 18. Let c = -2 - u. Determine k so that k**3 + 3*k**2 - k**2 + 2*k**c + k**4 = 0.
-2, -1, 0
Suppose t - 253*t**2 + 509*t**2 - 24*t**3 + 4*t**5 - 7*t - 6*t - 288*t**2 = 0. Calculate t.
-1, 0, 3
Let n(w) be the second derivative of -21*w - 1/168*w**7 + 0*w**3 + 1/40*w**6 + 0*w**2 + 0 + 0*w**4 - 1/40*w**5. Suppose n(x) = 0. What is x?
0, 1, 2
Let h(a) be the first derivative of -a**4/28 - a**3/7 - 3*a**2/14 - a/7 + 114. Factor h(t).
-(t + 1)**3/7
Let q(n) = n**2 + n + 2*n**2 - 8*n**2 + 4*n**2. Let f(j) = -2*j**3 - 10*j**2 + 4*j. Let v(d) = -f(d) + 6*q(d). Suppo