+ 3*u + 21*u - 52*u**2 = 0?
-3, 0, 1, 2
Let t = -35773/4 - -8944. Factor 3/2*s**3 + t*s**4 - 9/4 - 1/4*s**5 - 21/4*s - 5/2*s**2.
-(s - 3)**2*(s + 1)**3/4
Let n(h) be the first derivative of -h**3/12 + 15*h**2/4 - 29*h/4 - 35. Factor n(j).
-(j - 29)*(j - 1)/4
Let n be (-2)/(40*2/5) - (-22)/48. Find t, given that -4/3 - n*t**3 - 5/3*t**2 - 8/3*t = 0.
-2, -1
Let d(p) be the third derivative of -p**7/16380 - p**6/1560 - p**4/2 + 4*p**2. Let t(w) be the second derivative of d(w). Factor t(m).
-2*m*(m + 3)/13
Suppose -2*i = 2*i - w - 15, 0 = 4*i - 5*w + 5. Let u = 7 - i. Factor 0*s + 1/2*s**5 - s**u + 0 - 2*s**4 + 5/2*s**3.
s**2*(s - 2)*(s - 1)**2/2
Let o = 39836/5 - 7966. Determine g, given that o*g - 2/5*g**2 + 8/5 = 0.
-1, 4
Let k = 1263 - 1263. Let c(x) be the second derivative of -2/5*x**5 + k*x**3 - 6*x + 0*x**2 + 1/3*x**4 + 2/15*x**6 + 0. Factor c(y).
4*y**2*(y - 1)**2
Let 22/5*k**2 - 22/5*k**4 + 6/5*k + 8/5*k**5 + 0 - 14/5*k**3 = 0. What is k?
-1, -1/4, 0, 1, 3
Suppose -2*r = -4*u + 6, -4*u + 3*r + 7 = u. Suppose 0 + 0*w - 4/3*w**2 + u*w**4 - 2/3*w**3 = 0. What is w?
-2/3, 0, 1
Let b(d) be the first derivative of -2/13*d + 2/39*d**3 + 1/26*d**4 - 1/13*d**2 + 2. Determine m, given that b(m) = 0.
-1, 1
Suppose 36 - 36 = 2*t. Suppose -7/4*w - 1/4*w**2 + t = 0. Calculate w.
-7, 0
Factor -3/2*r**2 + 0*r + 0 + 1/2*r**3.
r**2*(r - 3)/2
Let h = -89/5100 + 3/68. Let p(c) be the second derivative of 0*c**2 + 3*c + 0 - 4/25*c**5 - 4/15*c**3 + 1/3*c**4 + h*c**6. Factor p(g).
4*g*(g - 2)*(g - 1)**2/5
Suppose 22 = -4*h + 38. Let -657 - 4*d**2 + 657 + h*d**3 = 0. What is d?
0, 1
Let f(b) = -7 - 3*b**2 - 16*b**2 - b**3 + 12*b**2 - b. Let l be f(-7). Find i such that 3/5*i**4 + 6/5*i - 9/5*i**2 + l*i**3 + 0 = 0.
-2, 0, 1
Let i(v) = -3*v. Let n(l) = l**2 - 7*l. Suppose -o = 5*o. Let r = o + -3. Let j(y) = r*n(y) + 5*i(y). Suppose j(z) = 0. Calculate z.
0, 2
Suppose 0 = -2*u - 8 + 14. What is x in 9*x + 14 + 1 + u*x - 5 + 2*x**2 = 0?
-5, -1
Let k be (24/48)/(1/(8/2)). Let s(x) be the first derivative of 3/14*x**k + 1/7*x**3 - 6/7*x + 5. Factor s(d).
3*(d - 1)*(d + 2)/7
Let a(b) = 51*b - 5. Let k(m) = -52*m + 5. Let d(t) = 6*a(t) + 5*k(t). Let o be d(7). Factor 317*v**2 - v + 0*v + v**3 - o*v**2.
v*(v - 1)*(v + 1)
Let n = -8216/15 - -548. Let w(g) be the second derivative of -n*g**6 + 2/3*g**4 + 2/3*g**3 + 5*g + 0*g**5 - 2/21*g**7 + 0 + 0*g**2. Factor w(y).
-4*y*(y - 1)*(y + 1)**3
Let y(c) be the second derivative of -3*c**5/110 + c**4/33 + c**3/33 + 4*c - 3. Let y(g) = 0. Calculate g.
-1/3, 0, 1
Let c(a) = 51*a**2 - 78*a - 36. Let r(k) = k**3 + 52*k**2 - 79*k - 34. Let p(q) = 7*c(q) - 6*r(q). Suppose p(x) = 0. Calculate x.
-1/2, 4
Let y(j) = -j**2 + 5*j + 19. Let p be y(7). Determine s so that 3*s**p - 7 - 5*s**5 + 7 = 0.
0
Let t(p) be the third derivative of 169*p**7/11340 - 13*p**6/810 + p**5/135 - p**4/12 - 15*p**2. Let w(b) be the second derivative of t(b). Factor w(m).
2*(13*m - 2)**2/9
Let p(y) be the second derivative of y**7/280 - y**6/24 + 7*y**5/40 - 3*y**4/8 - 7*y**3/3 - 19*y. Let i(v) be the second derivative of p(v). Factor i(k).
3*(k - 3)*(k - 1)**2
Let q = 34876/5 - 6962. Suppose q*y**3 + 0 - 16*y**2 + 32/5*y - 4*y**4 + 2/5*y**5 = 0. Calculate y.
0, 1, 4
Let p(r) be the second derivative of r**4/16 + 5*r**3/4 + 27*r**2/8 + 2*r - 189. Factor p(f).
3*(f + 1)*(f + 9)/4
Let w(c) be the second derivative of c**6/120 - 3*c**5/20 + 9*c**4/8 - 5*c**3/3 + 19*c. Let f(r) be the second derivative of w(r). Factor f(a).
3*(a - 3)**2
Let a(i) = i**3 - 5*i**2 + 4. Let x be a(5). Suppose x*o = -o + 20. Find y, given that 4*y + 4*y**2 + o - 4*y**2 + 2*y - 2*y**3 = 0.
-1, 2
Let t(c) be the third derivative of -c**5/270 - c**4/18 - 8*c**3/27 + 85*c**2. Determine q, given that t(q) = 0.
-4, -2
Let a = 75104/3 + -25008. Factor 16/9 + 116/9*u**3 + 12*u**2 - a*u.
4*(u - 1)*(u + 2)*(29*u - 2)/9
Let n(f) = 12*f + 66. Let q be n(-5). Let c(r) be the first derivative of 2 - q*r - 3/2*r**2 + r**3. Find m, given that c(m) = 0.
-1, 2
Let k be (1*21/(-6))/((-1)/2). Let j be k - 344/40 - (1 - 3). Factor -1/5*h**2 + j - 1/5*h.
-(h - 1)*(h + 2)/5
Let u(m) be the third derivative of m**6/2 + 23*m**5/15 - 3*m**4 - 16*m**3/3 + 1014*m**2. What is b in u(b) = 0?
-2, -1/3, 4/5
Let m(z) be the second derivative of 0 + 13/18*z**3 + 21*z + 1/4*z**4 + 2/3*z**2. Factor m(j).
(j + 1)*(9*j + 4)/3
Let v(h) be the third derivative of -1/16*h**4 + 18*h**2 - 1/360*h**5 + 0*h - 2/9*h**3 + 0. Suppose v(n) = 0. What is n?
-8, -1
What is r in -7*r**2 - 66 + 22*r**2 + 0*r**2 - 12*r**2 - 28*r - 5*r**2 = 0?
-11, -3
Let x be 3/(12*(-3)/(-60))*(5 + -4). Suppose 6/5*j**2 - 9/5*j**4 - 9/5*j + 3/5 + 6/5*j**3 + 3/5*j**x = 0. What is j?
-1, 1
Let f(u) be the third derivative of u**6/60 - 23*u**5/60 + u**4/3 + 11*u**3/2 + 118*u**2. Factor f(j).
(j - 11)*(j + 1)*(2*j - 3)
Let x(k) = -11*k**5 - 24*k**4 + k**3 + 41*k**2 + 10*k - 17. Let p(t) = -4*t**5 - 8*t**4 + 14*t**2 + 4*t - 6. Let y(b) = -17*p(b) + 6*x(b). Factor y(r).
2*r*(r - 2)**2*(r - 1)*(r + 1)
Let w(s) be the second derivative of -s**6/120 + 7*s**5/40 - 4*s**3 + 14*s + 1. Let n(q) be the second derivative of w(q). Find m, given that n(m) = 0.
0, 7
Let p(v) = 9 - v**2 - 4 + 4. Let z be p(3). Factor 0*n - 2/9*n**4 - 2/9*n**5 + z + 0*n**3 + 0*n**2.
-2*n**4*(n + 1)/9
Let i(q) be the first derivative of 2*q**3/3 + 5*q**2 + 8*q + 468. Factor i(g).
2*(g + 1)*(g + 4)
Let o = 15561 - 15558. Factor 0 - 9*b + 2*b**2 - 1/9*b**o.
-b*(b - 9)**2/9
Suppose 2*m = 4*t - 4, 5*t + m - 16 = -2*m. Let 4*j**3 + 12*j - t*j**3 - 4*j**3 + 16*j**4 - 4*j**5 - 16*j**2 - 6*j**3 = 0. What is j?
-1, 0, 1, 3
Let z(x) be the first derivative of 7 - 3*x**2 + 4*x + 2/3*x**3. Determine y, given that z(y) = 0.
1, 2
Let w = -14 + 6. Let b(v) = v**2 + 8*v. Let s be b(w). Factor -15/2*j**2 + 3*j - 3/2*j**4 + 6*j**3 + s.
-3*j*(j - 2)*(j - 1)**2/2
Let f(a) = 2*a - 15. Let w be f(-14). Let h = -43 - w. Factor 2/3*p**3 + h*p + 0 + 0*p**2 - 2/3*p**4.
-2*p**3*(p - 1)/3
Suppose -5*q + 5*o = -25, 3*q + 2*o + o + 3 = 0. Let g(h) be the third derivative of -1/300*h**6 + 0*h**3 + 1/150*h**5 - 3*h**q + 0*h**4 + 0*h + 0. Factor g(f).
-2*f**2*(f - 1)/5
Determine h so that -46*h**2 - 24 + 28*h**3 + 68*h - 4*h**4 + 37*h**2 - 59*h**2 = 0.
1, 2, 3
What is n in -2/9*n**2 - 14/9*n - 4/3 = 0?
-6, -1
Let r be 12*(-3 - 1)/8. Let l(d) = 14*d**4 + 54*d**3 + 86*d**2 + 48*d + 2. Let k(a) = a**3 + 1. Let c(t) = r*k(t) - l(t). Suppose c(o) = 0. What is o?
-2, -1, -2/7
Let h(q) be the first derivative of 2/57*q**3 + 0*q - 2/95*q**5 + 1/57*q**6 + 0*q**2 + 3 - 1/38*q**4. Factor h(p).
2*p**2*(p - 1)**2*(p + 1)/19
Let x(y) be the first derivative of y**6/2 - 18*y**5/5 + 15*y**4/4 + 16*y**3 - 18*y**2 - 48*y - 234. Solve x(l) = 0 for l.
-1, 2, 4
Let d = 95 - 77. Factor -17*l**4 - 4 + 8*l**2 - 5*l**4 + d*l**4.
-4*(l - 1)**2*(l + 1)**2
Let a(m) be the third derivative of m**5/12 - 185*m**4/24 + 110*m**3 + 223*m**2. Solve a(d) = 0.
4, 33
Let u(d) = d. Let n be u(2). Suppose 0*c + n*c - 8 = 0. Suppose 8*r**3 - 2 + 2 - 6*r**3 + r**c = 0. What is r?
-2, 0
Factor -14/3*a**2 + 0 + 4/3*a.
-2*a*(7*a - 2)/3
Suppose 0 = -2*u - 4 + 16. Suppose -u = -4*a + 10. Factor -1/4*i**2 + 0 - 1/4*i**3 + 1/4*i + 1/4*i**a.
i*(i - 1)**2*(i + 1)/4
Let u(c) be the second derivative of 0*c**3 - 3/20*c**5 - 4*c + 0*c**6 + 0*c**2 + 0*c**4 + 0 + 1/14*c**7. Suppose u(i) = 0. What is i?
-1, 0, 1
Factor 22/7*n**2 - 2/7*n + 2/7*n**3 - 22/7.
2*(n - 1)*(n + 1)*(n + 11)/7
Let r = -4932 - -4932. Determine h, given that r - 2/7*h**2 - 4/7*h = 0.
-2, 0
Let o be 4/3 + 224/12. Let s be ((-5)/o)/((-44)/96). Factor -s*m - 4/11 + 6/11*m**3 + 4/11*m**2.
2*(m - 1)*(m + 1)*(3*m + 2)/11
Let g be (-7)/(73 + 4)*-1. Let w(u) be the third derivative of -g*u**3 + 0*u - 8*u**2 + 0 - 1/330*u**5 - 5/132*u**4 + 1/660*u**6. Factor w(r).
2*(r - 3)*(r + 1)**2/11
Suppose -283*f**2 - 1 - 125*f**2 - 30*f**3 + 1 + 34*f**3 = 0. What is f?
0, 102
Let h(r) be the first derivative of 2*r**3/15 - 3*r**2 - 32*r/5 + 516. Factor h(t).
2*(t - 16)*(t + 1)/5
Factor -17 - 68*s**2 + 36*s + 4*s**4 + 28*s**3 + 12 + 5.
4*s*(s - 1)**2*(s + 9)
Let b(v) be the first derivative of -2*v**5/25 - 3*v**4/5 - 2*v**3/5 + 2*v**2 + 106. Factor b(d).
-2*d*(d - 1)*(d + 2)*(d + 5)/5
Let p(f) be the first derivative of 4*