t f be (-120)/90*12/(-8). Suppose 4*u + 2/5*u**4 - 4*u**3 - 10 + 48/5*u**f = 0. What is u?
-1, 1, 5
Suppose -5 - 5/6*d**2 - 35/6*d = 0. Calculate d.
-6, -1
Factor -1/2*x**5 + 0*x + 0 + 2*x**4 - 5/2*x**3 + x**2.
-x**2*(x - 2)*(x - 1)**2/2
Suppose -5*n - 24 - 10 = -r, -5*r + 2*n = -124. Let c be (r/(-324))/((-2)/12). What is a in -2/9*a**3 - c + 0*a**2 + 2/3*a = 0?
-2, 1
Let u(b) = b**3 - 2*b**2 - 3*b. Let a be u(3). Let r(q) be the second derivative of -1/3*q**3 - q**2 - 1/24*q**4 - 5*q + a. Find t, given that r(t) = 0.
-2
Let w be 4 + (-3)/3 + -1. Suppose 59*p**w + 128*p + 26*p**2 + 7*p**2 + 12*p**3 + 48 = 0. What is p?
-6, -1, -2/3
Let p(i) be the first derivative of -i**5/4 - 9*i**4/16 + 7*i**3/2 - i**2 + 102. Factor p(g).
-g*(g - 2)*(g + 4)*(5*g - 1)/4
Let n(o) be the first derivative of 3/8*o - 1/8*o**3 + 0*o**2 + 8. Factor n(b).
-3*(b - 1)*(b + 1)/8
Let y(x) be the second derivative of -x**4/66 - 10*x**3/33 + x**2 + 9*x + 1. Let y(o) = 0. What is o?
-11, 1
Factor 40/3*a - 8/3 + 26/3*a**3 + 74/3*a**2.
2*(a + 1)*(a + 2)*(13*a - 2)/3
Let m = 380/651 - 8/651. Factor m*j + 0 - 18/7*j**2.
-2*j*(9*j - 2)/7
Let w = -134 + 139. Let q(k) be the second derivative of 0 - 1/42*k**4 + 2/7*k**2 + 1/21*k**3 - w*k. Solve q(g) = 0 for g.
-1, 2
Let q(n) be the third derivative of n**7/42 - 7*n**6/12 + 17*n**5/3 - 325*n**4/12 + 125*n**3/2 - 828*n**2. Factor q(s).
5*(s - 5)**2*(s - 3)*(s - 1)
Let x = -5 + 45. Let y = x - 119/3. Let -2/3*v**2 + 1/3*v + y*v**3 + 0 = 0. Calculate v.
0, 1
Factor 6728/13 + 2/13*j**2 - 232/13*j.
2*(j - 58)**2/13
Suppose -3*a + a = j + 15, 0 = -3*j + 4*a - 65. Let s = j + 21. Determine x so that -5*x - 8*x + 16*x**s - 4*x**3 - 3*x = 0.
0, 2
Let b(h) be the first derivative of -3*h**4/16 + h**3/4 + 9*h**2/4 - 72. Let b(i) = 0. Calculate i.
-2, 0, 3
Let w(k) = 11*k + 21. Let v be w(-7). Let y be (-70)/v*(1 - -3). Suppose 8*j**4 + j**y - 3*j + 10*j**3 + 3*j + 6*j**3 = 0. What is j?
-4, 0
Factor -1/3*a**3 + 0 + 4*a + 1/3*a**2.
-a*(a - 4)*(a + 3)/3
Suppose 6 = 6*m - 0. Let c(v) be the first derivative of 9/10*v**5 + 1/6*v**3 - 21/8*v**4 + v + 9/4*v**2 + m. Find r such that c(r) = 0.
-1/3, 1, 2
Let q(j) = 6*j + 285. Let d be q(-47). Factor -1/6*x**2 - 1/6*x**4 - 1/3*x**d + 0*x + 0.
-x**2*(x + 1)**2/6
Suppose -12 - 3*p**4 - 63*p - 57*p**3 - 8*p**4 + 0*p + 2*p**4 - 99*p**2 = 0. Calculate p.
-4, -1, -1/3
Let w(k) be the third derivative of -k**8/13440 - k**7/2520 + 35*k**4/24 - 5*k**2. Let d(p) be the second derivative of w(p). Factor d(n).
-n**2*(n + 2)/2
Let r = 431/2 + -213. Let t(w) be the first derivative of -w + 3/4*w**4 - 7/3*w**3 + r*w**2 - 2. Suppose t(h) = 0. Calculate h.
1/3, 1
Let u = 124 + -119. Suppose 5*t + 14 = u*p + 4*t, -5*p - 4*t - 6 = 0. Suppose -2/3 - 1/6*k**p + 2/3*k = 0. Calculate k.
2
Let m be (32/260)/(18/10655). Let a = m + -924/13. Factor 2/9*b**2 + 32/9 - a*b.
2*(b - 4)**2/9
Let b(q) be the third derivative of q**6/24 - 11*q**5/12 + 95*q**4/24 - 15*q**3/2 + 6*q**2 + 34*q. Find n such that b(n) = 0.
1, 9
Let i(u) be the second derivative of 2*u**6/15 + 3*u**5/5 + u**4/3 - 2*u**3 - 4*u**2 + 300*u. Let i(o) = 0. Calculate o.
-2, -1, 1
Solve -135*c + 19*c + 25*c + 61 - 49*c + 84 - 5*c**2 = 0.
-29, 1
Let b(o) = 24*o**3 - 221*o**2 + 602*o - 177. Let p(m) = 12*m**3 - 112*m**2 + 300*m - 88. Let l(x) = 4*b(x) - 9*p(x). Suppose l(h) = 0. What is h?
1/3, 3, 7
Let w(y) = 16*y + 642. Let o be w(-40). Factor 2/5*l**3 + 0*l - 2/5*l**o + 0.
2*l**2*(l - 1)/5
Find n such that 3*n**2 - 3*n**3 - 10*n**2 + 3 + 5*n - 2*n + 4*n**2 = 0.
-1, 1
Suppose 5*w - 4*m - 5 = 0, -3*m = -2*w + 5 - 3. Solve 6 + 5*l**4 - w + 3*l - 7*l**2 - 3*l**3 - 1 - 2 = 0.
-1, -2/5, 1
Let m(a) = -24*a**4 + 22*a**3 + 16*a**2 - 17*a - 12. Let r(h) = h**4 - h**3 + h**2 + 2. Let b(l) = m(l) + 5*r(l). Factor b(q).
-(q - 1)**2*(q + 1)*(19*q + 2)
Suppose -6*k + 552 = -4*k + t, 0 = -k + t + 270. Let f = 274 - k. Factor 0 + 2/7*u**4 + 1/7*u**3 + 1/7*u**5 + f*u**2 + 0*u.
u**3*(u + 1)**2/7
Let q be ((-20)/(-3) - 4) + 6/(-9). Let l be 8/(-30) - (-2)/3. Find o, given that 4/5*o**q - l*o - 2/5 = 0.
-1/2, 1
Let q(t) be the third derivative of -t**8/56 + t**7/14 + 3*t**6/20 - 2*t**5/5 - t**4/2 + 3*t**3/2 - 155*t**2. Determine y so that q(y) = 0.
-1, 1/2, 1, 3
Let f(o) be the first derivative of 300*o**4 - 760*o**3 - 237*o**2/2 - 6*o + 283. Determine i so that f(i) = 0.
-1/20, 2
Let u(j) = 7*j**3 + 82*j**2 - 773*j + 668. Let y(x) = 5*x**3 + 55*x**2 - 515*x + 445. Let z(o) = 5*u(o) - 8*y(o). What is r in z(r) = 0?
-11, 1, 4
Determine o, given that 13*o**2 - 8*o**2 - 3*o**3 + 24*o**2 + 50*o**2 + 153*o - 8670 - 7*o**2 = 0.
-10, 17
Let b(j) be the third derivative of j**6/420 - j**5/30 + j**4/7 + 9*j**2 + 9*j. Factor b(r).
2*r*(r - 4)*(r - 3)/7
Let r be (64/36 - 3)*-6. Suppose 24 = 22*d - 14*d. Factor 0 + r*w**4 + 16*w**d + 4/3*w + 10*w**2.
2*w*(w + 1)**2*(11*w + 2)/3
Find m, given that -63/5*m**3 - 4/5*m**2 + 0 + 34/5*m**4 - 3/5*m**5 + 36/5*m = 0.
-2/3, 0, 1, 2, 9
Let v(b) be the second derivative of b**4/30 + 4*b**3/15 + 3*b**2/5 - 88*b. Determine g, given that v(g) = 0.
-3, -1
Let p be 3 - (0 + 3)/3. Let 6*f**3 - f**p - 26*f - 7*f**2 - 5 - 7 = 0. What is f?
-1, -2/3, 3
Factor -8/5 + 1/5*a**3 + 3/5*a**2 - 6/5*a.
(a - 2)*(a + 1)*(a + 4)/5
Suppose 6/7*s + 66/7*s**2 - 66/7 - 6/7*s**3 = 0. What is s?
-1, 1, 11
Let -9/4*n**2 + 0 + 3*n**5 - 21/2*n**3 + 0*n - 21/4*n**4 = 0. Calculate n.
-1, -1/4, 0, 3
Factor 6/11*j**2 - 292/11*j + 192/11.
2*(j - 48)*(3*j - 2)/11
Let q(p) be the first derivative of p**3/6 - 29*p**2/4 + 14*p - 172. Determine h, given that q(h) = 0.
1, 28
Let w = -92 - -99. Let a be w/((-98)/500)*26/(-65). Suppose 0 + 576/7*o**5 + 8/7*o**2 + a*o**3 + 416/7*o**4 + 0*o = 0. Calculate o.
-1/4, -2/9, 0
Let t(u) = -6*u + 2*u**2 + u**2 + 4 - 3*u - u**2. Let m(a) = -a**2 - 1. Let x(o) = 6*m(o) + t(o). Factor x(z).
-(z + 2)*(4*z + 1)
Let m(t) = -6*t**2 + 62*t + 138. Let r(u) = 7*u**2 - 61*u - 135. Let j(z) = -3*m(z) - 2*r(z). Factor j(d).
4*(d - 18)*(d + 2)
Let p = -15755/39 - -404. Let w(l) be the third derivative of 0*l + 1/390*l**5 + 2*l**2 + 4/39*l**3 + p*l**4 + 0. Factor w(y).
2*(y + 2)**2/13
Let y be ((-8)/(-6))/(2/12). Suppose b - y = -b. Find t such that 15*t**2 + 6 + 6*t**3 - 6 + b*t + 2*t = 0.
-2, -1/2, 0
Let m = 89 + -65. Let w be ((-30)/m - 6/8)/(-14). Factor 0*u + w*u**4 - 1/7*u**2 + 1/7*u**3 - 1/7*u**5 + 0.
-u**2*(u - 1)**2*(u + 1)/7
Let d be (-8 + (-24)/(-30) + 6)*(-230)/16. Find y such that -3/2 + 315/4*y**2 - d*y = 0.
-1/15, 2/7
Let v be (-19 - 88/(-16))/(-9). Factor 3/4*x**3 + 3/4*x - v*x**2 + 0.
3*x*(x - 1)**2/4
Let r(u) = 6*u**3 + 130*u**2 - 182*u + 110. Let y(n) = -2*n**3 - 43*n**2 + 62*n - 37. Let v(o) = 5*r(o) + 16*y(o). Factor v(w).
-2*(w - 1)**2*(w + 21)
Factor 5*o**4 + 204*o**3 + 0*o**2 + 60*o - 209*o**3 - 40*o**2.
5*o*(o - 2)**2*(o + 3)
Let j(k) = 2*k**3 - 11*k**2 + 6*k. Let n be j(5). Let g(a) be the third derivative of 5*a**2 + 0 + 0*a - 4/3*a**3 + 1/15*a**n - 1/6*a**4. Factor g(f).
4*(f - 2)*(f + 1)
Let v = -34883 - -34885. Factor 0 - 26/11*m - 2/11*m**v.
-2*m*(m + 13)/11
Let z be (-44)/(-96) - 8/64. Determine n so that 2*n**2 + 4/3*n + 4/3*n**3 + z + 1/3*n**4 = 0.
-1
Let b(f) be the first derivative of -3/4*f**4 + 81*f + 9*f**3 - 81/2*f**2 - 9. Factor b(z).
-3*(z - 3)**3
Let x(f) be the second derivative of 3*f**5/100 - 2*f**4/5 + 7*f**3/10 + 3*f - 7. Suppose x(k) = 0. What is k?
0, 1, 7
Suppose -2*z + 4*z = 4*z. Let v(m) be the second derivative of -1/90*m**6 + 0*m**3 + 1/60*m**5 + z*m**2 + 6*m + 0 + 1/18*m**4. Find j such that v(j) = 0.
-1, 0, 2
Suppose 2*f = -0*r + 4*r - 8, f = 0. Let 3 - 5*y**2 + 6*y**2 + r*y + 2*y = 0. What is y?
-3, -1
Let -20/3*o**2 - 2/3*o**4 - 30 - 48*o + 32/3*o**3 = 0. What is o?
-1, 3, 15
Let k(o) = -233*o**2 - 89*o - 6. Let y(g) = 78*g**2 + 30*g + 2. Suppose n + 8 = -2*f, 0 = -2*n + 5*n - 5*f + 13. Let j(b) = n*k(b) - 17*y(b). Factor j(x).
2*(6*x + 1)**2
Let r(b) be the second derivative of -b**7/210 + b**6/75 + 3*b**5/25 - 19*b**4/30 + 37*b**3/30 - 6*b**2/5 + 4*b + 10. Determine k so that r(k) = 0.
-4, 1, 3
Suppose 4*l - 116*r + 113*r - 34 = 0, 3*l = -2*r. Factor 4/5*g**3 + 0 - 2/15*g**l - 6/5*g**2 + 8/15*g.
-2*g*(g - 4)*(g - 1)**2/15
Let j(b) be the third derivative of 5*b**8/336 + 5*b**7/21 + 4*b**6/3 + 8*b**5/3 - 3*