
4*y*(y + 1)*(y + 23)
Let q(y) = 15*y**3 - 15*y**2 - 9*y + 4. Let b be q(9). What is v in v**4 - 120*v - 9693 - 24*v**3 - 92*v**2 - 3*v**4 + b = 0?
-5, -1
Let l(s) be the second derivative of -s**6/120 - 21*s**5/40 - 73*s**4/48 + 23*s**3/2 - 20*s**2 + 413*s - 7. Factor l(d).
-(d - 1)**2*(d + 4)*(d + 40)/4
Let w(k) = 4*k**2 - 131*k + 1151. Let j(v) = -6*v**2 + 196*v - 1726. Let l = -23 - -31. Let x(m) = l*w(m) + 5*j(m). Suppose x(p) = 0. What is p?
17
Suppose -3/7*p**5 - 852/7*p**2 + 414/7*p**3 + 12/7*p**4 + 0 + 429/7*p = 0. What is p?
-11, 0, 1, 13
Suppose 12 = 37*g - 33*g. Suppose 2*m + 3 = 7. Determine z so that 2 + 3*z**m + 177*z**3 - 174*z**g - 2 = 0.
-1, 0
Let n = -97 - -145. Determine f, given that 576*f + f**3 - n*f**2 + 2089 - 2089 = 0.
0, 24
Let w(b) = 9*b**2 + 63*b - 72. Let m(k) = -k**2 + 2*k - 1. Let h(v) = -12*m(v) - w(v). Factor h(t).
3*(t - 28)*(t - 1)
Let q = -184 + 191. Suppose 25*f**2 - 53*f**4 - q*f**5 + 6*f**5 - 9*f**5 + 28*f**4 + 10*f = 0. What is f?
-2, -1, -1/2, 0, 1
Let n(i) be the first derivative of i**3 + 387*i**2 + 49923*i + 936. Factor n(s).
3*(s + 129)**2
Let j(f) be the first derivative of -f**6/27 + 64*f**5/45 - 221*f**4/18 - 1156*f**3/27 - 2208. Factor j(l).
-2*l**2*(l - 17)**2*(l + 2)/9
Factor 4332 + 2239*i**2 + i**4 + 4*i**4 + 8892*i + 234*i**3 - 2*i**4 + 2552*i**2.
3*(i + 1)**2*(i + 38)**2
Let r(g) be the second derivative of 3*g**5/100 - 12*g**4/5 + 46*g**3/5 - 12*g. Let r(t) = 0. What is t?
0, 2, 46
Let b(x) be the second derivative of -x**5/150 + 11*x**4/2 + 664*x**3/15 + 1996*x**2/15 + 219*x - 2. Solve b(p) = 0.
-2, 499
Let z(g) be the first derivative of -g**6/30 - 2*g**5/5 - 17*g**4/12 - 5*g**3/3 + 47*g + 64. Let o(m) be the first derivative of z(m). Factor o(a).
-a*(a + 1)*(a + 2)*(a + 5)
Let p = 410789/5 + -803203/10. Determine a, given that -3/2*a**2 - p - 105*a = 0.
-35
Let q(v) = 2*v**4 + 52*v**3 - 204*v**2 + 150*v - 5. Let b(s) = -3*s**4 - 79*s**3 + 307*s**2 - 225*s + 8. Let u(y) = -5*b(y) - 8*q(y). Solve u(t) = 0.
-25, 0, 1, 3
Let y = -1393456/11 - -126678. Solve 32/11*d + y*d**2 + 30/11 = 0.
-15, -1
Let k(d) = -3*d**2 + 909*d + 3687. Let n be k(-4). Solve -4 + 7/2*f**n + 19*f - 37/2*f**2 = 0.
2/7, 1, 4
Let l(n) = -83*n**3 + 98*n**2 + 600*n + 118. Let p(b) = 14*b**3 - 16*b**2 - 100*b - 20. Let t(a) = 2*l(a) + 13*p(a). Factor t(h).
4*(h - 3)*(h + 2)*(4*h + 1)
Let y(n) be the first derivative of -n**5/20 - n**4/12 + n**3 + 89*n - 33. Let d(i) be the first derivative of y(i). Find q, given that d(q) = 0.
-3, 0, 2
Let m be 660/(-5)*15/(-90). Let a(l) be the first derivative of m - 3/4*l + 5/8*l**2 + 2/3*l**3. Let a(o) = 0. What is o?
-1, 3/8
Let q be (1456/520)/(49/20). Factor q - 8/7*z + 2/7*z**2.
2*(z - 2)**2/7
Let p(f) be the first derivative of -7*f**6/45 - 4*f**5/15 + 3*f**4/5 + 88*f**3/45 + 29*f**2/15 + 4*f/5 + 677. What is j in p(j) = 0?
-1, -3/7, 2
Let m(q) be the third derivative of -q**8/10080 + q**7/5040 + q**5/30 + 79*q**3/6 - 6*q**2 + 6. Let p(l) be the third derivative of m(l). Solve p(j) = 0.
0, 1/2
Suppose -22 - 7 + 0*c**2 + 3*c**2 + 22*c + c**2 + 3 = 0. What is c?
-13/2, 1
Find y, given that 0 + 204*y**2 - 108*y + 71/3*y**3 + 2/3*y**4 = 0.
-18, 0, 1/2
Let n be ((-1)/2)/((-10)/80). Let d(w) = -w**2 - 590*w - 17405. Let c(g) = -g**2. Let h(u) = n*c(u) + d(u). Factor h(l).
-5*(l + 59)**2
Suppose o + 13 = -4*j + 32, 0 = 5*o - 4*j + 1. Suppose -9*k**2 - 16*k - o*k**3 - 15*k**2 - 6*k**3 + 0*k**2 = 0. What is k?
-4/3, 0
Let g(q) = -22*q**3 + 278*q**2 - 2*q - 272. Let u(o) = 102*o**3 - 1390*o**2 + 10*o + 1362. Let s(l) = 14*g(l) + 3*u(l). Determine i, given that s(i) = 0.
-139, -1, 1
Let b(q) be the third derivative of q**5/30 + 17*q**4/4 - 280*q**3/3 - 2037*q**2. Factor b(x).
2*(x - 5)*(x + 56)
Let 140/9*x**2 - 32*x + 2/9*x**3 + 0 = 0. What is x?
-72, 0, 2
Let p(s) be the third derivative of -s**8/168 + 4*s**7/15 - 49*s**6/12 + 349*s**5/15 - 64*s**4 + 96*s**3 + 2*s**2 - s - 264. Determine a so that p(a) = 0.
1, 2, 12
Let -1/5*x**2 + 0 - 181/5*x = 0. What is x?
-181, 0
Factor 8/11*y**2 - 420/11 - 38/11*y.
2*(y - 10)*(4*y + 21)/11
Factor 0 + 1740*b**2 + 4/3*b**3 - 5224/3*b.
4*b*(b - 1)*(b + 1306)/3
Let h(r) be the second derivative of -3*r**5/40 + 35*r**4/18 + r**3/4 - 35*r**2/3 - 20*r - 16. Factor h(l).
-(l - 1)*(l + 1)*(9*l - 140)/6
Let j(v) = v**2 + 37*v + 165. Let i be j(-38). Suppose 4*c + 187 - i = 0. Determine g, given that 8/9*g - 4/9*g**c + 1/3*g**3 + 0 + 14/9*g**2 - 1/9*g**5 = 0.
-4, -1, 0, 2
Let b = 199 + -196. Factor 15*o**b + 46*o + 72*o**2 - 46*o**2 + 22 - 13*o**3.
2*(o + 1)**2*(o + 11)
Let h(n) = -2515*n + 12577. Let i be h(5). Suppose 0 - 24/19*u**i + 0*u + 2/19*u**3 = 0. What is u?
0, 12
Let p(b) = -173*b**2 + 152*b - 38. Let i(q) = -2*q**2 - 2*q - 1. Let v(f) = -6*i(f) + 3*p(f). Find u such that v(u) = 0.
6/13
Factor 3/7*j**4 - 108/7*j + 0 + 21*j**2 - 6*j**3.
3*j*(j - 9)*(j - 4)*(j - 1)/7
Find s, given that 24*s**2 - 93/2*s + 23 - 1/2*s**3 = 0.
1, 46
Let x(u) = -10*u**2 - 270*u. Let r(w) = 27*w**2 + 541*w. Let j(h) = -2*r(h) - 5*x(h). Suppose j(s) = 0. Calculate s.
0, 67
Let x(v) be the third derivative of 0 + 0*v + 0*v**3 - 1/18*v**4 + 19/90*v**5 + 161*v**2. Factor x(c).
2*c*(19*c - 2)/3
Let h(w) = 3*w**4 - 25*w**3 - 28*w**2 - 5*w - 5. Let c(m) = -2*m**4 + 23*m**3 + 28*m**2 + 7*m + 4. Let z(d) = -5*c(d) - 4*h(d). Suppose z(a) = 0. Calculate a.
-5, -3/2, -1, 0
Let c be 1/(10/(-19)) + 39504/16460. Suppose 3/4 - c*r - 1/4*r**2 = 0. Calculate r.
-3, 1
Suppose 0*n = 4*n - 12. Suppose -k + 0 = -n. Determine b so that -b - 2*b - 3*b**k - 7*b**2 - 2 + 1 - 2*b = 0.
-1, -1/3
Let o(n) be the third derivative of n**6/24 + 17*n**5/4 + 130*n**4 - 1690*n**3/3 + 242*n**2 - n. Factor o(u).
5*(u - 1)*(u + 26)**2
Let w be -4*21/(-56)*4/3. Factor -18*x**2 - 106*x + 2809 - 7*x**w + 26*x**2.
(x - 53)**2
Let o be ((-60)/(-28) - 5)/((-4)/42). Let v be 5/6 + (-10)/o. Factor 0 + 1/4*u**3 - v*u + 1/4*u**2.
u*(u - 1)*(u + 2)/4
Let h = -79 - -179. Suppose -7*f + 4*l = -190, -l = 4*f - 121 + 19. Factor -25*a**3 - h + 2*a**4 + 90*a - 35*a**3 + 42*a**3 + f*a**2.
2*(a - 5)**2*(a - 1)*(a + 2)
Let q(k) be the third derivative of -6/35*k**7 - 46/15*k**5 + 3*k**2 - 6*k**3 + 3*k + 11/2*k**4 + k**6 + 1/84*k**8 + 0. What is o in q(o) = 0?
1, 3
Let n(r) be the first derivative of 2*r**3/21 + 108*r**2/7 - 24. Determine d so that n(d) = 0.
-108, 0
Let d be (5/(-10))/(130/(-152) - (-116)/1102). Let s(m) be the first derivative of m**2 + d*m**3 + 0*m - 1/2*m**4 + 42 - 2/5*m**5. Factor s(r).
-2*r*(r - 1)*(r + 1)**2
Let i(k) be the first derivative of 5/38*k**4 - 227 - 4/19*k - 2/95*k**5 - 6/19*k**3 + 7/19*k**2. Find x such that i(x) = 0.
1, 2
Let z = 81 - 78. Suppose 16*x**2 - 8*x**z - 7*x**4 + 9*x - 3*x**4 - 6*x**2 - x**5 = 0. Calculate x.
-9, -1, 0, 1
Suppose -5*c + 53 = 4*o, -2797*o + 28 = -2793*o. Factor -16/3*m**2 + 4*m**3 - 16/3*m - 4/3*m**c + 0 + 8/3*m**4.
-4*m*(m - 2)**2*(m + 1)**2/3
Suppose -956 = 6*w - 3*d - 935, d - 17 = -3*w. Find k, given that -2/13*k**w + 2/13*k**3 - 10/13*k - 6/13 = 0.
-1, 3
Let s = -51397/6552 + -93/728. Let i = 74/9 + s. What is l in -1/4 + 1/2*l**3 - i*l + 1/2*l**2 - 1/4*l**5 - 1/4*l**4 = 0?
-1, 1
Let j(u) be the first derivative of u**4/14 - 4*u**3/7 + 9*u**2/7 - 8*u/7 + 2867. Determine w, given that j(w) = 0.
1, 4
Let o(i) be the first derivative of -2*i**5/95 + 5*i**4/38 - 4*i**3/19 - 4*i**2/19 + 16*i/19 + 1386. Factor o(g).
-2*(g - 2)**3*(g + 1)/19
Let u(v) = -380*v**3 + 16*v**2 - 60*v + 40. Let d(y) = 332*y**3 - 15*y**2 + 59*y - 40. Let g(a) = -8*d(a) - 7*u(a). Factor g(p).
4*(p - 2)*(p - 1)*(p + 5)
Let a = -3996944/9 - -444105. Determine b, given that -1/3*b**3 + a*b**2 + 2/9*b + 1/9*b**5 - 1/9*b**4 + 0 = 0.
-1, 0, 1, 2
Let s = -723047/3 - -241016. Solve -9*q + 5*q**2 - s*q**3 + 13/3 = 0 for q.
1, 13
Solve -2056/3*p**2 + 2060/3*p - 4/3*p**3 + 0 = 0 for p.
-515, 0, 1
Let u(s) be the third derivative of s**6/30 + 304*s**5 + 1155200*s**4 + 7023616000*s**3/3 + 9840*s**2. Suppose u(g) = 0. Calculate g.
-1520
Factor -48*g + 912/5 + 3/5*g**2.
3*(g - 76)*(g - 4)/5
Let y = 55183/2 + -27590. Let h(z) be the first derivative of y*z**2 - z - 29 + 1/3*z**3 - 3/4*z**4. Let h(o) = 0. What is o?
-1, 1/3, 1
Let i(n) be the first derivative of -3*n**4 + 0*n - 4*n**2 + 2/3*n**6 - 17 - 4/5*n*