 f, given that 7/3*f**t + 12*f - 8/3 - 10*f**2 = 0.
2/7, 2
Suppose 299 - 404 + 228 + r**2 + 44*r = 0. What is r?
-41, -3
Let w(k) be the third derivative of -k**6/480 + k**5/16 - 3*k**4/4 + 9*k**3/2 - 228*k**2. Factor w(f).
-(f - 6)**2*(f - 3)/4
Let f(z) be the second derivative of 16*z - 1/30*z**3 + 0*z**5 - 1/75*z**6 + 0*z**2 + 1/210*z**7 + 0 + 1/30*z**4. Factor f(b).
b*(b - 1)**3*(b + 1)/5
Find h, given that 8*h**4 + 111*h**3 - 2*h**5 - 117*h**3 - 14*h**2 + 8*h + 6*h**2 = 0.
-1, 0, 1, 2
Suppose -32/15 - 22/15*s**3 + 2/15*s**5 + 4/3*s - 14/15*s**4 + 46/15*s**2 = 0. Calculate s.
-2, -1, 1, 8
Factor 590*w**2 + 38*w**3 - 4*w**4 - 302*w**2 - 16*w - 384 - 122*w**3.
-4*(w - 2)**2*(w + 1)*(w + 24)
Suppose p = -3, f - 4*p = -9*p + 390. Let q = f + -795/2. Let 0 + 0*s - 3*s**2 + q*s**4 + 9/2*s**3 = 0. What is s?
-1, 0, 2/5
Let b(a) be the first derivative of -4/3*a**3 - 21 - 10*a**2 + 0*a. Find v, given that b(v) = 0.
-5, 0
Suppose -1 - 2 = g, 2*s + 4*g = 18. Suppose s*a = 10*a. Factor 0*u - 1/4*u**2 + 0 + a*u**3 + 1/4*u**4.
u**2*(u - 1)*(u + 1)/4
Let o(u) be the second derivative of -u**5/80 + u**3/6 + 94*u. Determine f, given that o(f) = 0.
-2, 0, 2
Suppose -3*v - 4*m + 56 - 19 = 0, 2*m + 53 = 5*v. Suppose v = 8*d - 5. Suppose 1/4*k**d + 1/4 - 1/2*k = 0. Calculate k.
1
Let q(i) be the third derivative of i**7/168 + i**6/12 + i**5/2 + 5*i**4/3 - 31*i**3/6 + 2*i**2. Let r(t) be the first derivative of q(t). Solve r(j) = 0.
-2
Let x be 15/18*(-88)/(-275). Let b(s) be the second derivative of 3/100*s**5 + 11/60*s**4 + 4*s + 0 + x*s**3 - 2/5*s**2. Factor b(g).
(g + 2)**2*(3*g - 1)/5
Let p = -52 + 36. Let t be ((-36)/p - 3)*-8. Suppose t + 8 - 9*g**3 - 4*g - 15*g**2 - 11 + g = 0. What is g?
-1, 1/3
Let k(z) be the second derivative of 5*z**7/42 - z**6 - 7*z**5/4 + 4*z. Factor k(v).
5*v**3*(v - 7)*(v + 1)
Let m(z) be the second derivative of 2*z**7/21 + 23*z**6/30 + 17*z**5/10 + 5*z**4/4 + 141*z. Factor m(f).
f**2*(f + 1)**2*(4*f + 15)
Let a(s) be the third derivative of -s**5/12 - 5*s**4/12 + 20*s**3/3 - 75*s**2 - s. Factor a(j).
-5*(j - 2)*(j + 4)
Let y = -2 - -4. Factor -3*t**3 - 13*t**4 + 4*t**2 + 9*t**4 - t**y - t + 5*t**4.
t*(t - 1)**3
Let c(l) = 128*l**4 + 235*l**3 + 114*l**2 + 40*l - 11. Let w(a) = -a**3 - 2*a + 1. Let r(h) = -2*c(h) - 22*w(h). Determine p, given that r(p) = 0.
-1, -3/8, 0
Let z(t) be the first derivative of -3*t**4/4 + 3*t**3 + 15*t**2 - 72*t + 90. Solve z(a) = 0 for a.
-3, 2, 4
Let w = -3214/63 + 460/9. Let z(t) be the second derivative of -2/7*t**2 + 2/147*t**7 + w*t**3 + 2/21*t**4 - 2/35*t**5 - 2/105*t**6 - 2*t + 0. Factor z(x).
4*(x - 1)**3*(x + 1)**2/7
Suppose -23*b = -17*b - 30. Let z(f) = 3*f**2 - 10*f - 22. Let c be z(b). Suppose 0 + l**2 - l - 1/4*l**c = 0. What is l?
0, 2
Let q(l) be the third derivative of -l**8/5040 + 2*l**7/945 - l**6/108 + l**5/45 - 13*l**4/24 + 25*l**2. Let d(n) be the second derivative of q(n). Factor d(f).
-4*(f - 2)*(f - 1)**2/3
Let s(x) be the third derivative of x**6/60 + x**5/15 - x**4/4 + 108*x**2. Determine d so that s(d) = 0.
-3, 0, 1
Let f(w) = -w**2 - 6*w + 19. Let x be f(-8). Let m be 2/(-10)*(-15)/2. Determine j so that -3 - m*j**4 - 3/2*j**x + 9/2*j**2 + 3/2*j = 0.
-2, -1, 1
Let s be -3 + (-1 + 1)/(-3). Let x be 0*2/12*s. Find g such that -2/9*g + x - 2/9*g**2 = 0.
-1, 0
Let h(i) be the first derivative of i**8/1008 + i**7/315 - i**2/2 - 11. Let g(n) be the second derivative of h(n). Factor g(j).
j**4*(j + 2)/3
Let t(j) be the second derivative of -3*j**5/50 - 27*j**4/20 - 13*j**3/10 - j + 197. Suppose t(z) = 0. Calculate z.
-13, -1/2, 0
Let a = 662 + -660. Determine k, given that 4/11 - 2/11*k**a + 2/11*k = 0.
-1, 2
Let d(y) be the third derivative of 1/168*y**8 + 0*y + 0*y**4 + 2/15*y**6 + 2/15*y**5 + 1/21*y**7 + 0*y**3 + 14*y**2 + 0. Factor d(p).
2*p**2*(p + 1)*(p + 2)**2
Let b = 130 - 126. Factor -x**b - 5/3*x**3 + 0 + 0*x - 1/3*x**2 + 3*x**5.
x**2*(x - 1)*(3*x + 1)**2/3
Suppose 5*u - u - 24 = 0. Solve -d**2 - 4*d**5 + u*d**3 - 3*d + 7*d**4 + 6*d**5 + d = 0 for d.
-2, -1, 0, 1/2
Let g be 9/180*-4*-6. Factor 3/5*l**3 + 0 + 0*l + g*l**2.
3*l**2*(l + 2)/5
Let b(v) be the third derivative of -1/105*v**5 + 2/21*v**3 - 8*v**2 - 1/28*v**4 + 0*v + 0. Factor b(c).
-2*(c + 2)*(2*c - 1)/7
Let y(g) be the first derivative of -41 - 4*g**2 + 2/3*g**3 + 6*g. What is k in y(k) = 0?
1, 3
Let j(m) be the second derivative of -2*m**2 - 3*m + 0 + 1/9*m**4 + 1/9*m**3. Find w such that j(w) = 0.
-2, 3/2
Let k(v) be the first derivative of v**6/6 - v**4 + 2*v**3/3 + 3*v**2/2 - 2*v - 109. Determine j so that k(j) = 0.
-2, -1, 1
Let q(m) = 5*m**2 + 63*m - 3. Let b(z) = 6*z**2 + 66*z - 4. Let i(u) = -3*b(u) + 4*q(u). Suppose i(y) = 0. Calculate y.
-27, 0
Suppose -2714 = -4*b - 694. Factor 2*k**3 - 513*k - 4*k**3 - 10*k**2 + b*k.
-2*k*(k + 1)*(k + 4)
Let o be (-3)/(-30)*4*5. Factor -80 - 16*y + 83 + 12*y**o + 2*y - y.
3*(y - 1)*(4*y - 1)
Let d(w) = 42*w**2 - 1370*w + 372. Let o(q) = 14*q**2 - 458*q + 124. Let p(v) = -5*d(v) + 14*o(v). Solve p(r) = 0.
2/7, 31
Suppose 2*y + 5 = 3*p, -3*p - 5*y - 2 = -7*p. Determine k, given that 4/7*k**p + 4/7 + 12/7*k**2 + 12/7*k = 0.
-1
Let i be (1 - 0) + 8/8. Find l, given that 2*l - 5*l + 2 + 2*l**i - l = 0.
1
Let i(h) be the second derivative of h**7/126 + h**6/10 + h**5/2 + 23*h**4/18 + 11*h**3/6 + 3*h**2/2 - 12*h + 4. Suppose i(n) = 0. What is n?
-3, -1
Suppose 0 = 2*h - 9 + 3. Suppose -2*s = 2*z - 6, -3*s = -z - h*z + 5. Suppose -z*n**2 - 2/3*n + 0 = 0. Calculate n.
-1/3, 0
Let q(x) be the second derivative of -x**7/1512 + x**6/144 - x**5/36 - 7*x**4/6 + 8*x. Let g(u) be the third derivative of q(u). Factor g(r).
-5*(r - 2)*(r - 1)/3
Factor -10*y**3 - 385*y**2 + 195*y**2 - y**4 + 10*y - 4*y**4 + 195*y**2.
-5*y*(y - 1)*(y + 1)*(y + 2)
Let s(z) be the second derivative of -5*z**4/6 - 14*z**3/3 + 3*z**2 - 2*z - 123. Factor s(u).
-2*(u + 3)*(5*u - 1)
Let p be 10/(-3)*(-45)/25. Suppose -2*s + 7*s - 4*v = 42, -3*s - 4*v + 38 = 0. Suppose 2*c**5 - p*c**4 + s*c**3 - 6*c**2 - 2*c**4 + 2*c**2 = 0. What is c?
0, 1, 2
Suppose 120 = 4*r - 20. Factor -18 + 63 + 108*a - 33*a + r*a**2 + 5*a**3.
5*(a + 1)*(a + 3)**2
Let j(l) be the third derivative of 13*l**2 + 1/72*l**6 + 0 - 13/360*l**5 - 1/1260*l**7 + 0*l - l**3 - 5/12*l**4. Determine c so that j(c) = 0.
-1, 6
Let 113*k + 67*k - 165*k**2 + 526*k**5 - 85*k**3 - 541*k**5 + 85*k**4 = 0. Calculate k.
-4/3, 0, 1, 3
Suppose -5 - 4 = -3*y. Let b be ((-1)/y)/(5/(-90)) - 1. Factor 0*a + 1/7*a**4 + 0*a**2 - 1/7*a**b + 2/7*a**3 + 0.
-a**3*(a - 2)*(a + 1)/7
Let s(j) be the first derivative of -j**3/3 - 8*j**2 + 19*j - 6. Let z be s(-17). Factor -2*w**z + w - 2*w**2 + 15*w - 16.
-4*(w - 2)**2
Let a(n) be the third derivative of -n**7/195 + 2*n**6/39 + 5*n**5/26 - 20*n**4/39 - 28*n**3/39 + 586*n**2. Solve a(s) = 0.
-2, -2/7, 1, 7
Let y(o) = -o**3 + o**2 + 1. Let k(m) = -5*m**3 - 37*m**2 - 15*m + 5. Let v be 6*5/15*1/2. Let f(r) = v*k(r) + 4*y(r). Solve f(p) = 0.
-3, -1, 1/3
Let f(x) be the first derivative of -5*x**6/6 + x**5 + 5*x**4/4 - 5*x**3/3 - 172. Factor f(g).
-5*g**2*(g - 1)**2*(g + 1)
Let h = -25 + 35. Factor -h + 6 - 2*d**2 + 6*d + 0*d**2.
-2*(d - 2)*(d - 1)
Let c be (4 - 2) + -5 + 6. Solve 10 + 39*d + 18*d**3 + 0 - 4*d + 7*d**c + 45*d**2 + 5*d**4 = 0 for d.
-2, -1
Let b(p) = 2*p**4 - 12*p**3 + 32*p**2 + 14*p - 24. Let l(s) = 4*s**4 - 13*s**3 + 33*s**2 + 16*s - 22. Let j(z) = 3*b(z) - 2*l(z). Suppose j(d) = 0. Calculate d.
-7, -1, 1, 2
Let n(y) = -3*y**2 + 6*y. Let o be n(3). Let h be 1 + 0 - (o + 6). Factor 4*i**2 - h*i**3 - 4 + 4 - 24*i**4 + 20*i**4 + 4*i.
-4*i*(i - 1)*(i + 1)**2
Let r(n) be the third derivative of 0*n - 1/20*n**6 - 3*n**3 + 0 - 11/4*n**4 - 6*n**2 - 19/30*n**5. Factor r(w).
-2*(w + 3)**2*(3*w + 1)
Let m(j) be the second derivative of -j**6/210 - 13*j**5/140 - 11*j**4/84 + 13*j**3/42 + 6*j**2/7 - 3*j - 37. Suppose m(w) = 0. Calculate w.
-12, -1, 1
Let i(m) = -m**2 + 6*m + 3. Let b be i(6). Solve -u**2 - 8*u**2 - 18*u**2 + 18*u + 27*u - 21 + b*u**3 = 0 for u.
1, 7
What is p in 196/5*p**2 + 2/5 - 124/5*p**3 + 162/5*p**5 - 38/5*p - 198/5*p**4 = 0?
-1, 1/9, 1
Solve -40000/3 + 800/3*g - 4/3*g**2 = 0.
100
Suppose 0 = 39*r - 43*r - 3*t, 0 = -3*r + 4*t. Solve -1/3*l**2 - 2/3*l + r = 0.
-2, 0
Let l(w) = -2*w - 63. Let r b