uppose v(s) = 0. What is s?
-106, -1
Let n(h) = -h**3 + 2*h**2 - 1. Let q(z) = -7*z**3 + 7*z**2 - 97*z + 97. Let a(k) = 40*n(k) - 5*q(k). Factor a(o).
-5*(o - 15)*(o - 1)*(o + 7)
Let v = 1245/1772 - -21/443. Let o(i) be the first derivative of -2*i**3 - 4 - v*i**4 - 3/2*i**2 + 0*i. Factor o(g).
-3*g*(g + 1)**2
Factor -234/17 + 2/17*z**2 - 232/17*z.
2*(z - 117)*(z + 1)/17
Let n(z) = -5604*z + 106479. Let l be n(19). Factor 0*u**l + 2/5*u**4 + 12/5*u + 0 - 14/5*u**2.
2*u*(u - 2)*(u - 1)*(u + 3)/5
Suppose 6*y - 9 = 3. Factor -18*a**3 - a**2 + 19*a**3 + 2*a**y.
a**2*(a + 1)
Let g = -272 + 275. Let -30*n**3 + 66*n**g + 9*n**2 - 35*n**3 = 0. What is n?
-9, 0
Factor 3/8*w**2 - 1/2*w - 1/2.
(w - 2)*(3*w + 2)/8
Let f(c) be the third derivative of c**5/150 - 101*c**4/15 - 812*c**3/15 - 11*c**2 - 83*c. Factor f(w).
2*(w - 406)*(w + 2)/5
Let x(f) = -2*f**2 + 15*f - 5. Let k = 31 + -24. Let q be x(k). Let 9*p + 3*p**q + 3 + 0 - 15*p = 0. Calculate p.
1
Let b(p) be the third derivative of -p**5/48 - 25*p**4/48 - 10*p**3/3 - 423*p**2. Determine o so that b(o) = 0.
-8, -2
Let z(p) = p**3 + 14*p**2 + 15*p + 29. Let t be (-4)/(-6)*(0 - 39/2). Let d be z(t). Solve m**2 + m**2 + m**d + 0*m**2 + 4*m**2 = 0.
-6, 0
Determine j, given that -1076/5*j - 144722/5 - 2/5*j**2 = 0.
-269
Suppose 2*q - 3*q + 2 = 0. Suppose -q*h + 7*h = 20. Factor 8*p**3 - 8*p**2 + 0*p**4 + h*p**4 - 51*p**5 + 4 + 47*p**5 - 4*p.
-4*(p - 1)**3*(p + 1)**2
Suppose -u - h + 9 = 0, -h = -3*u + 4*h - 5. Suppose -y = u*b - 18, 4*y + b = 12 + 3. Find s such that 5 + 120*s - 375*s**y + 75*s**2 - 19 - 22 = 0.
-3/5, 2/5
Find j, given that -j**2 + j**4 - 15 + 11/2*j**3 - 41/2*j = 0.
-5, -3/2, -1, 2
Suppose -3 = -16*h + 45. Let 1 + 7*i + 17126*i**3 - 5 - 2*i**2 - 17127*i**h = 0. What is i?
-4, 1
Suppose 0 = 15*w - 17*w + 10. Suppose 13 = 4*j + 5*s, 2*j + w*s = 4 + 5. Factor 474*c**3 - 477*c**3 + 3*c**5 + j*c**4 - 2*c**4.
3*c**3*(c - 1)*(c + 1)
Suppose 3*h + 6 = -u, 110 = h + 5*u + 182. Factor -10/11*j**h + 516/11*j**2 - 2704/11 - 6552/11*j.
-2*(j - 26)**2*(5*j + 2)/11
Let l(z) be the second derivative of -z**7/42 + 37*z**6/90 - 43*z**5/60 - 13*z**4/36 + 11*z**3/9 - 4343*z. Suppose l(x) = 0. What is x?
-2/3, 0, 1, 11
Let o(y) be the first derivative of -y**5/5 + 11*y**4 - 2755. What is l in o(l) = 0?
0, 44
Let n(d) be the third derivative of d**9/30240 + d**8/1680 - 11*d**4 - 2*d**2 + 7*d. Let x(i) be the second derivative of n(i). Factor x(r).
r**3*(r + 8)/2
Let g = 190 + 40. Let p = 1381/6 - g. Factor -1/3*k**2 + 1/6*k**3 + 0 + p*k.
k*(k - 1)**2/6
Let i be -1*((-1)/5 + (-7660)/(-50)). Let p = -149 - i. Let -2/9*g**p - 16/3*g - 44/9*g**2 - 2 - 16/9*g**3 = 0. What is g?
-3, -1
Let c(m) be the third derivative of 24*m**2 - 5/3*m**4 + 2*m**3 + 4/5*m**5 - 1/5*m**6 + 0*m + 0 + 2/105*m**7. Factor c(j).
4*(j - 3)*(j - 1)**3
Factor -2/3*d**2 + 228 - 58/3*d.
-2*(d - 9)*(d + 38)/3
Suppose -118*t + 113*t + 365 = 0. Find z such that -14*z**3 + t*z**2 - 100*z - 6*z**4 - 19*z + 5*z**4 - 49*z + 2*z**4 + 144 = 0.
3, 4
Let y(d) be the second derivative of -13/12*d**3 + 0*d**2 + 40*d - 3 - 5/16*d**4 - 1/80*d**5. Factor y(i).
-i*(i + 2)*(i + 13)/4
Let l be -22 - (16872/(-171) + 76). Factor 0*x + l*x**3 - 8/3*x**2 + 0.
2*x**2*(x - 4)/3
Let v be 3913/26*(-456)/(-14). Solve -2513*w - v*w - 312*w**2 - 70304 - 697*w - w**3 - 3*w**3 = 0.
-26
Let s(g) be the third derivative of g**6/24 - 13*g**5/10 + 15*g**4/8 + 6109*g**2. Suppose s(t) = 0. What is t?
0, 3/5, 15
Let i = 211 + -189. Solve 55*j**3 + 75*j**4 - 160*j**2 + 65*j**4 - 145*j**4 + i*j + 118*j = 0 for j.
0, 2, 7
Let y(d) = -2*d**3 + 27*d**2 - 14*d + 3. Let m be y(13). Let v = -8 - m. Factor 69*l - 5*l**v + 70*l - 124*l.
-5*l*(l - 3)
Let q(u) = -u**5 + 2*u**4 + u**2 - u. Let y(f) = -2*f**4 + 58*f**3 - 12*f**2 + 18*f. Let t(w) = -36*q(w) - 2*y(w). Let t(g) = 0. Calculate g.
-1, -1/9, 0, 3
Let i be -6*(-403)/(-62) + 42. Factor 128*u + 2/9*u**i + 0 - 32/3*u**2.
2*u*(u - 24)**2/9
Let u(n) be the first derivative of -2*n**3/15 - 318*n**2/5 - 50562*n/5 - 1011. Factor u(r).
-2*(r + 159)**2/5
Find s such that -511/3*s**2 + 1/3*s**4 + 125/3*s**3 - 86 + 643/3*s = 0.
-129, 1, 2
Let t(v) be the third derivative of -v**5/240 - 71*v**4/48 + 6*v**2 - 56*v. Factor t(y).
-y*(y + 142)/4
Let i(b) = -b**4 + b**2 + b - 2. Let y(k) = -12*k**4 - 3*k**3 + 12*k**2 + 7*k - 8. Let a(t) = 4*i(t) - y(t). Let a(m) = 0. Calculate m.
-1, -3/8, 0, 1
Suppose 4*h = -2*m - 4, 2*m + 7*h + 4 = 2*h. Let t be (-78)/(-351) + 29/(-63)*m. Suppose t*a**2 + 6/7*a - 2/7*a**3 - 36/7 = 0. What is a?
-2, 3
Let v be (-12)/4 + 3 + 2. Let b = 4 - v. Find u, given that 11*u**b - 22*u**2 + 9*u**2 + 2 + 6*u - 6 = 0.
1, 2
Let a(m) be the first derivative of m**6/33 + 28*m**5/11 + 1153*m**4/22 - 1680*m**3/11 + 1296*m**2/11 - 295. Find b such that a(b) = 0.
-36, 0, 1
Find a such that -a + 27*a**2 - 36*a**2 - 3*a**3 + 28*a - 15 = 0.
-5, 1
Let o(b) = -7*b**2 + 226*b - 2. Let n be o(6). Suppose 1106*a - n*a = 0. Factor -1/3*c**4 + 0*c**3 + a + 1/3*c**2 + 0*c.
-c**2*(c - 1)*(c + 1)/3
Let u(g) be the second derivative of g**5/120 + 31*g**4/18 - 127*g**3/9 + 128*g**2/3 - 4*g - 69. Let u(r) = 0. What is r?
-128, 2
Let f = 124 + 402. What is q in -262*q**2 + f*q**2 + 76*q - 260*q**2 - 168 = 0?
-21, 2
Factor 2/5*q**2 + 1746/5 + 588/5*q.
2*(q + 3)*(q + 291)/5
Let i(d) be the third derivative of 0 + 0*d**4 + 1/84*d**8 + 2/21*d**7 + 3*d**2 - 3/5*d**5 + 7*d + 0*d**3 + 1/10*d**6. Determine c, given that i(c) = 0.
-3, 0, 1
Let o be (-2 - -1) + ((-13983)/(-21) - -2). Let h = o + -666. Factor 12/7 + 3*d - h*d**2.
-3*(d - 4)*(2*d + 1)/7
Let c = 125/7 - 1111/63. Let w(q) be the first derivative of -2/3*q**2 + 2*q - c*q**3 - 8. Factor w(h).
-2*(h - 1)*(h + 3)/3
Suppose 453 + 446 = 395*h - 286. Suppose -4/7 - 8/7*a**2 + 10/7*a + 2/7*a**h = 0. What is a?
1, 2
Let j = 19088/3 - 38161/6. Find b such that 0 - 1/2*b**5 - 2*b**2 - 3*b**3 + 4*b + j*b**4 = 0.
-1, 0, 2
Let n = -47/7655 + 107311/22965. Factor -2/3*u**5 - 10/3*u**4 + 0 + 0*u - 2*u**2 - n*u**3.
-2*u**2*(u + 1)**2*(u + 3)/3
Let p be 0/(-4 + (-3 + 8)*(-24)/(-20)). Determine u, given that 8/5*u**2 + p - 12/5*u**3 - 2/5*u + 8/5*u**4 - 2/5*u**5 = 0.
0, 1
Let g = 16351 - 212523/13. Let n(i) be the first derivative of -36/13*i**2 - 1/2*i**4 + 27 - 1/39*i**6 - 4/13*i**5 + 0*i + g*i**3. Factor n(d).
-2*d*(d - 1)**2*(d + 6)**2/13
Factor -46/5 - 578/5*t**3 - 13362/5*t**2 - 1566/5*t.
-2*(t + 23)*(17*t + 1)**2/5
Find w, given that 8/5*w**2 + 5308/5*w + 2652/5 = 0.
-663, -1/2
Let w(k) be the first derivative of -k**3/5 + 361*k**2/10 + 242*k/5 + 1614. Factor w(o).
-(o - 121)*(3*o + 2)/5
Let o = 597700 - 597691. Suppose 63/8*p**3 + 3/8*p**4 + 213/8*p - 207/8*p**2 - o = 0. What is p?
-24, 1
Let g be (-17)/(68/(-342))*4/6. Find p, given that 64*p**3 + 6*p**5 - 16*p**2 - g*p**5 + 13*p**5 + 4*p**4 + 22*p**5 = 0.
-2, 0, 1/4, 2
Suppose 31*i - 38*i + 8400 = 0. What is c in -238 - 28*c**3 - 61 - 352*c**2 + 196 - 353 - 120 - i*c = 0?
-6, -4/7
Suppose -268*p + 271*p - 5*w - 20 = 0, 2*w + 8 = 2*p. Suppose p = 5*q + x - 19, 26*x - 4 = 25*x. Factor -96/5 - 54/5*h**4 - 528/5*h**2 - 288/5*h**q - 384/5*h.
-6*(h + 2)**2*(3*h + 2)**2/5
Let a(r) be the first derivative of -3*r**4/8 + 997*r**3/2 - 186750*r**2 + 372006*r - 782. Factor a(c).
-3*(c - 498)**2*(c - 1)/2
Factor 2/13*y**2 + 8 - 34/13*y.
2*(y - 13)*(y - 4)/13
Suppose 3*r = 37*r - 1904. Let h be (-42)/(-15)*16/r. Factor 0 - 6/5*x**2 - 2/5*x**3 - h*x.
-2*x*(x + 1)*(x + 2)/5
Find c such that -1252/3*c**2 - 1261*c + 4/3*c**3 - 948 = 0.
-3/2, 316
Let u = -2374 - -2371. Let d be ((-752)/(-192) - (-5)/u) + -2. Let -d*m**2 - 15/2*m - 225/4 = 0. What is m?
-15
Let g(w) be the first derivative of -2/21*w**3 + 24/7*w + 1/7*w**2 - 43. Solve g(t) = 0.
-3, 4
Let v(d) = d**2 - 7*d + 3. Let h be v(6). Let b(p) = -p + 1. Let s be b(h). Factor 10*l**3 + 2*l**5 + 34*l - 16*l - 4*l**2 - 18*l - 8*l**s.
2*l**2*(l - 2)*(l - 1)**2
Factor 1/2*t**5 + 0 + 95922*t**3 - 438*t**4 + 0*t + 0*t**2.
t**3*(t - 438)**2/2
Let n(h) = 1632*h + 4898. Let q be n(-3). Let r(t) be the first derivative of -37 + 0*t**q + 0*t - 20/3*t**3 - t**4. Factor r(p).
-4*p**2*(p + 5)
Let q = -93 + 87. Let n(s) = 2*s**3 - 5*s**2 + 11*s + 3. Let v(k) = 10*k**3 - 26*k**2 + 54*k + 14. Let u(a) = q*v(a) + 28*n(a). Factor u(z).
-4