ate x.
0, 1
Suppose -5*g - 15 = -40. Let o be g/(-30)*-32 - 4. Factor -2/3*y**3 + 0 - o*y + 2*y**2.
-2*y*(y - 2)*(y - 1)/3
Let s(u) = u**2 + 3*u + 3. Let h be s(-3). Suppose -7*n = n - 24. Solve 2*c**3 - c**4 - 5*c**h + 3*c**3 - c**2 - 2*c**n = 0 for c.
-1, 0
Let b(f) be the first derivative of -3*f**4/28 + 5*f**3/7 - 6*f**2/7 - 172. What is t in b(t) = 0?
0, 1, 4
Let m = 2 - -1. Let v = -1654 + 1656. Find o such that 15/4*o**v + 0 + 3/2*o - 21/4*o**m = 0.
-2/7, 0, 1
Let n be 24/36 + (-1192)/(-12). Let a = n + -100. Factor 2/9*m**2 + a*m - 4/9*m**3 + 0 + 2/9*m**4.
2*m**2*(m - 1)**2/9
What is h in -3/8*h + 45/8*h**2 + 3/8*h**3 - 45/8 = 0?
-15, -1, 1
Suppose -4*t - 3*s + 18 = -t, 22 = 3*t + 4*s. Let b(q) = 9*q - 44. Let z be b(6). Find x such that -t*x**3 + x**5 + x**5 + 10 - z = 0.
-1, 0, 1
Let o(j) = j**4 + 4*j**3 + 26*j**2 - 2*j. Let k(i) = -4*i**4 - 7*i**3 - 53*i**2 + 5*i. Let b(z) = 2*k(z) + 5*o(z). What is s in b(s) = 0?
-2, 0, 4
Let i = -110 - -112. Suppose -5*b = -4 - 6. Let -2/3*p**3 - i*p - 2/3 - b*p**2 = 0. Calculate p.
-1
Let w = 2753 + -19223/7. Let -4/7*z**4 - 52/7*z**2 + w*z - 16/7 + 24/7*z**3 = 0. What is z?
1, 2
Let m be -8 + 9 - 4/(-2). Let b be -3 - (0/m - 29). Factor b*f**4 - 3*f**2 - 2*f + 0*f - 25*f**4.
f*(f - 2)*(f + 1)**2
Let u = 410/159 - 66/53. Find w, given that 4*w**4 - u*w**3 + 8/3*w - 4/3*w**5 - 4*w**2 + 0 = 0.
-1, 0, 1, 2
Let -4/7*y**3 + 8/7*y + 10/7*y**2 - 24/7 = 0. Calculate y.
-3/2, 2
Let w(q) be the third derivative of -q**9/9072 + q**7/1260 - q**5/360 + 7*q**3/6 - 18*q**2. Let v(u) be the first derivative of w(u). Find n such that v(n) = 0.
-1, 0, 1
Let v = -66609/5 - -13322. Factor 0 - 1/5*i**2 + v*i**4 + 0*i**3 + 0*i.
i**2*(i - 1)*(i + 1)/5
Let t = -19559/30 - -652. Let a(l) be the third derivative of -1/15*l**3 + t*l**4 + 0 + 0*l + 2*l**2 - 1/150*l**5. Factor a(p).
-2*(p - 1)**2/5
Let f(g) = -g - 1. Let x(p) = 0*p**2 - 4*p - 8*p**2 - 9 + 2*p**2 + 7*p**2. Let t(r) = -6*f(r) + x(r). Determine i, given that t(i) = 0.
-3, 1
Let l(y) be the second derivative of 0*y**3 + 1/90*y**6 - 1/36*y**4 + 0 + 11*y + 0*y**2 + 1/126*y**7 - 1/60*y**5. Suppose l(v) = 0. What is v?
-1, 0, 1
Let n(m) = -m**2. Let l = -32 - -31. Let a(u) = 3*u**2 + 4*u - 8. Let w(c) = l*a(c) + n(c). Factor w(z).
-4*(z - 1)*(z + 2)
Let d = -15028/7 + 2147. Factor -d*i**2 + 4/7 + 3/7*i.
-(i - 4)*(i + 1)/7
Factor -2/5*i + 1/5*i**2 - 24/5.
(i - 6)*(i + 4)/5
Suppose -2 = -m, -g + 3*m = 18 - 14. Suppose 0 - 3/7*f**g + 0*f = 0. What is f?
0
Let v = 6258/7835 + 2/1567. Factor 2/5*y**2 + v*y - 6/5.
2*(y - 1)*(y + 3)/5
Let o(f) = -2*f**3 + 2*f**2 + 5. Let q(l) be the second derivative of 3*l**5/20 - l**4/4 - 7*l**2/2 + 3*l. Let p(h) = -7*o(h) - 5*q(h). Factor p(u).
-u**2*(u - 1)
Let h(f) be the second derivative of f**5/2 - 105*f**4/4 - 80*f**3/3 - f - 35. Factor h(o).
5*o*(o - 32)*(2*o + 1)
Suppose 8 = 5*i + 3*f, 0 = 5*i + 2*f - 4*f - 28. Let o(j) be the first derivative of 23/5*j**5 + 7/6*j**6 + 13/3*j**3 - i + 27/4*j**4 + 0*j + j**2. Factor o(s).
s*(s + 1)**3*(7*s + 2)
Let j = -343/649 - -117/59. Factor 76/11*p**2 + 16/11 - 2/11*p**5 - 50/11*p**3 - 56/11*p + j*p**4.
-2*(p - 2)**3*(p - 1)**2/11
Determine c so that 0 - 2/15*c**2 - 2/15*c**3 + 2/15*c + 2/15*c**4 = 0.
-1, 0, 1
Let 2/5*a**5 + 132/5*a**2 - 102/5 - 76/5*a**3 + 74/5*a - 6*a**4 = 0. What is a?
-3, -1, 1, 17
Let g(c) be the second derivative of c**7/294 + 9*c**6/14 + 729*c**5/14 + 32805*c**4/14 + 885735*c**3/14 + 14348907*c**2/14 - 27*c + 2. Factor g(x).
(x + 27)**5/7
Let h(a) be the second derivative of -1/6*a**6 - 4*a + 0 + 1/4*a**5 + 5/6*a**4 + 0*a**2 + 0*a**3. Let h(j) = 0. What is j?
-1, 0, 2
Let d(k) be the third derivative of -k**7/12600 - k**6/720 + k**4/4 - 18*k**2. Let b(j) be the second derivative of d(j). Find t such that b(t) = 0.
-5, 0
Let y be 56 + (0 - -2) - 4. Let v be (7/(-3) + 2)/((-63)/y). Factor 0 + 2/7*w**2 - v*w.
2*w*(w - 1)/7
Let f(n) be the first derivative of 5*n**4/4 - 55*n**3/3 + 25*n**2 - 90. Determine h, given that f(h) = 0.
0, 1, 10
Let q(s) be the second derivative of -s**6/15 - 252*s**5/5 - 15876*s**4 - 2667168*s**3 - 252047376*s**2 + 381*s. Factor q(a).
-2*(a + 126)**4
Let l = 95 + -77. Let a be 54/l - 3*1. Factor 2/13 + a*h**2 + 4/13*h - 4/13*h**3 - 2/13*h**4.
-2*(h - 1)*(h + 1)**3/13
Suppose 1 = -m, -5*u - 3*m + 0 = -7. Suppose -w = u*x - 6*x - 15, -12 = -3*w + x. Factor 3*v**3 + 4*v**5 - 6*v**4 - 2*v**3 - 2*v**2 - 2*v**5 + 5*v**w.
2*v**2*(v - 1)**3
Let h be 9440/(-5425) + -2 - 2*-2. Let v = 4/155 + h. Determine z so that 1/7 + v*z**2 - 3/7*z = 0.
1/2, 1
Find c such that -15*c**3 + 17*c**3 - 7*c**3 - 10*c**2 + 0*c**4 + 5*c**4 = 0.
-1, 0, 2
Solve -5*f**2 - 5*f**2 + 21339 - 57464 + 6*f**2 - 850*f - f**2 = 0.
-85
Let q(z) be the second derivative of z**7/14 - 4*z**6/5 + 18*z**5/5 - 8*z**4 + 8*z**3 - 6*z - 2. Determine k so that q(k) = 0.
0, 2
Let m(r) = r**3 + r**2 - r - 1. Let d(a) be the first derivative of 3*a**4/4 + 2*a**3/3 - 2*a**2 - 4*a - 6. Let j(k) = -d(k) + 4*m(k). Factor j(f).
f**2*(f + 2)
Let p(d) be the second derivative of d**5/10 + 5*d**4/6 + 8*d**3/3 + 4*d**2 - 24*d. Suppose p(u) = 0. What is u?
-2, -1
Suppose -d - 2*n + 3 = 0, 2*d - 3*n = -0*n - 8. Let f be 4*d/(-24)*4. Factor 2*i - f*i**3 + 4/3 + 0*i**2.
-2*(i - 2)*(i + 1)**2/3
Let z(k) be the third derivative of 15*k**2 + 1/120*k**5 + 1/480*k**6 + 0 + 0*k**4 - 1/840*k**7 + 0*k**3 + 0*k. Find v such that z(v) = 0.
-1, 0, 2
Let v(n) be the first derivative of 2/35*n**5 + 2/7*n - 4/21*n**3 + 1/7*n**2 - 1/7*n**4 + 1/21*n**6 + 11. Factor v(f).
2*(f - 1)**2*(f + 1)**3/7
Suppose 0 = k + 2*b + b - 8, 3*k - 14 = -4*b. Suppose 3*r - 4*l = 30, -4*r - r = -k*l - 64. Let 6 - r - 44*y**3 + 16*y**4 - 4*y + 4 + 36*y**2 = 0. Calculate y.
-1/4, 1
Let i(k) be the first derivative of -2*k**6/45 + k**5/5 - k**4/3 + 2*k**3/9 - 3*k - 23. Let t(h) be the first derivative of i(h). Solve t(g) = 0.
0, 1
Let i(l) = -l**3 - 15*l**2 - 13*l + 16. Let r be i(-14). Suppose 0 = -5*o - 5*b - r + 32, 29 = 4*o + 5*b. Factor -o + 8*y**2 + 16*y**3 - 3*y**2 + 11*y**2 - y.
(y + 1)*(4*y - 1)*(4*y + 1)
Factor 4/17*s**2 - 10/17*s**3 + 2/17*s**4 + 0 + 16/17*s.
2*s*(s - 4)*(s - 2)*(s + 1)/17
Let h be (-15)/((-3300)/(-224)) + 12/10. Let x = 1553/66 - 139/6. Let -x*i**3 + 2/11*i**5 + 0*i**2 + 0*i**4 + 0 + h*i = 0. Calculate i.
-1, 0, 1
Suppose 0 = -0*q + 5*q + 5*u + 5, 3*q - 2*u - 12 = 0. Let k = 4 - 2. Find l, given that q*l**k - l - l**3 - 5 + 5 = 0.
0, 1
Let a(l) be the third derivative of l**7/1260 + l**6/84 + 2*l**5/105 + 13*l**4/24 - 37*l**2. Let c(h) be the second derivative of a(h). Factor c(v).
2*(v + 4)*(7*v + 2)/7
Let b(d) = 2*d - 27. Let h be b(15). Let w(k) be the second derivative of -1/56*k**7 + 3/40*k**5 - 1/8*k**3 + 0*k**6 + 0*k**2 + h*k + 0*k**4 + 0. Factor w(a).
-3*a*(a - 1)**2*(a + 1)**2/4
Let p(l) = -5*l**2 - 6*l - 4. Let x(k) = 2*k**2 + 3*k + 2. Let u(m) = -3*p(m) - 7*x(m). Let c be u(4). Solve -3*s**2 + 4*s**2 - 6*s - 3 - 4*s**c = 0.
-1
Let 5*f + 5 - 35*f + 270*f**2 - 530*f**2 + 285*f**2 = 0. Calculate f.
1/5, 1
Let z(n) be the first derivative of -4*n**3/3 - 258*n**2 + 520*n + 564. Suppose z(v) = 0. Calculate v.
-130, 1
Let t be 28/(-8)*(2 + (-74)/35). What is p in 1/5*p**3 - 1/5*p + 3/5*p**2 - 1/5 - t*p**4 = 0?
-1, -1/2, 1
Let l(o) be the third derivative of o**6/600 - 3*o**5/50 + 4*o**4/5 - 64*o**3/15 - o**2 - 294*o. Factor l(p).
(p - 8)**2*(p - 2)/5
Let r = -22645 + 22650. Suppose -2*p**4 - 8/5*p + 42/5*p**2 + 6/5*p**r - 22/5*p**3 - 8/5 = 0. Calculate p.
-2, -1/3, 1, 2
Let w be (1/4)/((-2)/(-12)). Let q = 2 - w. Let 1/2*v**5 + q*v**2 - 1/2*v**3 + 0*v - 1/2*v**4 + 0 = 0. Calculate v.
-1, 0, 1
Let o(w) be the second derivative of w**7/1260 + w**6/90 + w**5/20 - w**4/4 - 37*w. Let i(v) be the third derivative of o(v). Factor i(y).
2*(y + 1)*(y + 3)
Let p be (-9)/(-21) - (128/(-28) + 0). Factor -236*r**2 + 3*r**4 + 236*r**2 + 4*r**p.
r**4*(4*r + 3)
Let h = 1/1321 - -5273/14531. Determine c so that 0 + 2/11*c**2 - h*c = 0.
0, 2
Factor -280/11 + 62/11*z + 2/11*z**2.
2*(z - 4)*(z + 35)/11
Let d(i) be the first derivative of i**5/40 - i**3/4 + i**2/2 - 15*i - 10. Let q(j) be the first derivative of d(j). Suppose q(r) = 0. Calculate r.
-2, 1
Let b(a) be the third derivative of 3/20*a**5 + 9/4*a**4 + 18*a**3 + 0*a + 1/240