306*q**2 - 194*q**3 + 54*q**3 + 76*q**3 + 67*q**3 + 7488*q - 2788 = 0. What is q?
-52, 2
Let u = 186683 - 186681. Find g such that 13/2*g + 1/2*g**3 - 3 - 4*g**u = 0.
1, 6
Let r(l) = -3*l**3 + 79*l**2 - 84*l - 2. Let z(d) = 2*d**3 + 3*d**2 - d + 1. Let t(n) = r(n) + 2*z(n). Find j such that t(j) = 0.
-86, 0, 1
Find n such that 48 - 444*n + 759/8*n**3 + 1179/4*n**2 + 51/8*n**4 = 0.
-8, 2/17, 1
Let k = -125 - -139. Suppose 217*t + k = 224*t. Determine a so that 35/3*a**3 - 5/3*a**5 - 20*a - 40/3 + 10/3*a**t + 0*a**4 = 0.
-2, -1, 2
Suppose -o - 32 = -4*g + 3*o, -g - o + 2 = 0. Let u be (-2 + (8 - 18))/(-3). Suppose 11 + 5*m**2 - 10*m - 5*m**g - 11 - 5*m**u + 6*m**3 + 9*m**3 = 0. What is m?
-2, -1, 0, 1
Let a**4 + 10296125 - 10925*a**2 + 4*a**4 - 44*a**3 + 86100*a - 3245*a**2 - 16*a**3 = 0. Calculate a.
-35, 41
Let y be 1014/63 - 2 - 36/378. Let -2*n**4 - 11*n**2 + y*n**4 - 3*n + 10 + 3*n**3 - 11*n**4 = 0. What is n?
-5, -1, 1, 2
Factor 90*a**3 + 1289*a - 40*a**4 + 5*a**5 - 44*a**2 - 1264*a - 36*a**2.
5*a*(a - 5)*(a - 1)**3
Let q = 294599 - 5001415/17. Let r = q + -398. Let r*m**3 + 6/17*m**2 - 10/17*m + 4/17 - 2/17*m**4 = 0. Calculate m.
-2, 1
Let a(x) be the second derivative of x**6/30 + 58*x**5/15 + 841*x**4/6 + 95*x**2/2 - 135*x. Let u(d) be the first derivative of a(d). Let u(p) = 0. Calculate p.
-29, 0
Let d(g) = -g**3 + 5*g**2 + 3*g - 12. Let s be d(4). Let o be (108/s)/(15/80). Factor 4*w**4 - o + 24*w - 16*w**3 + 0*w**4 + 18*w**2 + 14*w**2 - 8*w**3.
4*(w - 3)**2*(w - 1)*(w + 1)
Let n(d) be the third derivative of -2 - 1/165*d**6 - 1/33*d**4 - 1/1155*d**7 + 0*d - 1/55*d**5 - 1/33*d**3 - d**2. Find b such that n(b) = 0.
-1
Let p(v) be the third derivative of -1/360*v**5 + 138*v**2 + 0*v + 0*v**3 - 13/144*v**4 + 0. Let p(f) = 0. What is f?
-13, 0
Let m(l) be the first derivative of l**4 - 332*l**3/3 - 1050*l**2 - 3204*l - 5277. Determine g so that m(g) = 0.
-3, 89
Let b be (-4 - -10)*(-6)/(-14). Let r be (-46)/276 - (-4 - (3 + 246/(-36))). Find n, given that -12/7*n**4 - 2/7*n**5 + 12/7*n**2 + r - 16/7*n**3 + b*n = 0.
-3, -1, 0, 1
Let l(j) = j**2. Let g(f) = -2*f**2 + f. Let n = -20 + 2. Let y = n - -20. Let i(w) = y*g(w) + 2*l(w). Factor i(v).
-2*v*(v - 1)
Let v = 1042 - 1040. Suppose 14*l - 24 = v*l. Factor 24/11 - 6/11*c**3 + 0*c - 18/11*c**l.
-6*(c - 1)*(c + 2)**2/11
Let c = -482982 - -2414912/5. Factor -172/5*m - c*m**2 - 3698/5.
-2*(m + 43)**2/5
Let n be (176/(-28) - -5)/(((-1)/(-5))/((-14)/35)). What is t in 0 - 6/7*t**2 - 4/7*t**4 - n*t**3 + 8/7*t = 0?
-4, -1, 0, 1/2
Let v be (3 - 35/10)*(-8 - 2). Let h(k) = k**2 + 7*k + 4. Let t(s) = 2*s**2 + 16*s + 9. Let m(x) = v*h(x) - 2*t(x). Let m(u) = 0. What is u?
-2, -1
Let x(n) be the second derivative of 1/80*n**5 - 9/8*n**2 + 0 - 3/8*n**3 + 1/48*n**4 + 322*n. Factor x(q).
(q - 3)*(q + 1)*(q + 3)/4
Suppose 3*h = -5*x + 59, 89 = h + 2*h - x. Let m(i) = 3*i**2 - 85*i + 28. Let n be m(h). Solve n + 0*w - 3/5*w**5 - 192/5*w**2 - 144/5*w**3 - 36/5*w**4 = 0.
-4, 0
Let c = 96271/4 - 288773/12. Factor c + 16/5*s - 2/15*s**2.
-2*(s - 25)*(s + 1)/15
Let y(p) = 3*p**2 - 21*p + 20. Let v be y(6). Find b, given that -20*b**2 - 20*b**2 + 43*b**2 - 1 - v = 0.
-1, 1
Let f(o) be the second derivative of -3*o + 10 - 1/6*o**3 + 1/40*o**5 + 0*o**2 - 1/24*o**4. Factor f(z).
z*(z - 2)*(z + 1)/2
Factor -31/4*d + 1/4*d**3 + 0*d**2 - 15/2.
(d - 6)*(d + 1)*(d + 5)/4
Suppose 2*t - 10 = 0, h + 46*t = 50*t - 550. Let w be 102*(-5 + h/(-105)). Factor 6/7*g**3 + w*g**2 + 18/7*g - 10/7.
2*(g + 1)*(g + 5)*(3*g - 1)/7
Suppose 12/7*r**5 - 84*r**2 + 50/7 - 205/7*r + 13*r**3 + 100/7*r**4 = 0. What is r?
-5, -1/2, 1/6, 2
Suppose -2*a - 5*l = -10 - 1, -7 = -4*a + 5*l. Factor -18*f**a + 3*f**4 - 7*f**4 - f - 3*f - 14*f**2 - 2*f**5 - 6*f**4.
-2*f*(f + 1)**3*(f + 2)
Determine m, given that -4*m**2 + 733 + 526 - 3 - 588*m - 64 = 0.
-149, 2
Let j be (2/(-4) + 1)*-6. Let q(u) = -u**2 - 2*u + 5. Let a be q(j). Factor -13*b**2 + 3*b + 2*b + 4*b**a - 3*b**3 + 7*b.
-3*b*(b - 1)*(b + 4)
Factor -6*f**2 + 5*f**2 - 485*f + 542*f.
-f*(f - 57)
Let x(z) = z**2 - 455*z + 53725. Let b(i) = -i**2 + 454*i - 53714. Let w(y) = 9*b(y) + 10*x(y). Find v such that w(v) = 0.
232
Find y such that -476767 + 50474*y + 4*y**3 + 92374*y + 1524*y**2 + 34399 = 0.
-192, 3
Suppose 27*f - 2240 + 16*f**2 + 15*f**2 + 2186 - 34*f**2 = 0. What is f?
3, 6
Find o, given that -16/5*o**3 + 16/5*o + 8/5*o**2 - 12/5 + 4/5*o**4 = 0.
-1, 1, 3
Let p(l) be the third derivative of l**2 + 0 - 1/30*l**6 + 0*l**4 + 17*l + 8/15*l**5 + 0*l**3. Factor p(x).
-4*x**2*(x - 8)
Let q(c) be the first derivative of c**4/3 - 14*c**3 + 196*c**2 - 3430*c/3 + 2446. Find u such that q(u) = 0.
7, 35/2
Let i = 176 + -174. Suppose -6*c - i = -4*c - 3*w, 5*w = -4*c + 18. Factor -25/2*o**5 - 2 - 95/2*o**4 - 97/2*o**c - 16*o - 139/2*o**3.
-(o + 1)**3*(5*o + 2)**2/2
Let m(p) be the second derivative of -p**6/60 + 5*p**5/8 + 13*p**4/2 - 15*p**3 - 2767*p. Factor m(o).
-o*(o - 30)*(o - 1)*(o + 6)/2
Let t = -302323/9 - -33593. Let -t*r**2 + 2/9*r**5 + 22/9*r**3 + 0 - 8/3*r + 14/9*r**4 = 0. Calculate r.
-4, -3, -1, 0, 1
Let w = 15926 - 15924. Let n(i) be the first derivative of -19 - 15/8*i**w + 3/2*i + 1/2*i**3. Determine k, given that n(k) = 0.
1/2, 2
Let y = -111660 + 111662. Factor -2/5*w**4 - 34/5*w**y - 16/5*w**3 + 0 - 4*w.
-2*w*(w + 1)*(w + 2)*(w + 5)/5
Solve 2606 - 3563*p - 225*p**3 - 1647*p + 2602*p**2 + 227*p**3 = 0.
-1303, 1
Factor -5909*n**4 - 2*n**5 - 145*n**2 + 5881*n**4 - 122*n**3 - 49*n - 23*n - 23*n**2.
-2*n*(n + 1)**2*(n + 6)**2
Let u be (0 + 13)/((-153075)/(-7065)). Find w such that 0 + u*w**2 + 9*w = 0.
-15, 0
Let m(v) = 8*v**2 + 316*v - 324. Let c(f) = 17*f**2 + 631*f - 648. Let g(a) = 6*c(a) - 13*m(a). Solve g(y) = 0.
-162, 1
Let w = 36 + -34. Suppose w*x + 12 = 2*t, 2*t = -3*x + x - 4. Factor -3*j**4 + 6*j**4 + 0*j**3 - 3*j**3 - 5*j**2 + 3*j**5 + t*j**2.
3*j**2*(j - 1)*(j + 1)**2
Let k(m) be the third derivative of -2 + 13/20*m**6 + 0*m - 112*m**2 - 2*m**4 + 0*m**3 - 31/35*m**7 + 29/15*m**5 + 5/42*m**8. Suppose k(z) = 0. What is z?
-3/4, 0, 2/5, 1, 4
Suppose -54 = -5*g - 3*t, 0 = g - 5*t - 39 + 17. Let j(p) be the first derivative of 2/3*p**3 + 0*p - g + 4*p**2. Factor j(o).
2*o*(o + 4)
Suppose 5*l = 3 + 12. Let s(r) be the first derivative of r**3/3 + 3*r**2 + 4*r - 16. Let y(u) = u. Let q(h) = l*s(h) - 3*y(h). Factor q(n).
3*(n + 1)*(n + 4)
Let y(x) be the third derivative of -x**6/24 + 11*x**5/12 + 5*x**4/2 + 286*x**2 - 2*x - 3. Factor y(t).
-5*t*(t - 12)*(t + 1)
Let r(v) be the first derivative of -25/4*v**4 - 10*v**3 + 0*v**2 + 0*v - v**5 - 59. Factor r(g).
-5*g**2*(g + 2)*(g + 3)
Suppose 587*o = 655*o. Let x(s) be the second derivative of 1/36*s**3 + 32*s + 7/180*s**6 + 0 - 7/72*s**4 - 1/120*s**5 + o*s**2. Suppose x(z) = 0. What is z?
-1, 0, 1/7, 1
Let s(l) = 9*l**2 + 2 - 2*l + 5*l**2 - 13*l**2 - 4 + 0*l**2. Let m(n) = 30*n**2 + 50*n + 205. Let h(d) = m(d) - 25*s(d). Factor h(b).
5*(b + 3)*(b + 17)
Let k(b) be the third derivative of b**9/3780 - b**7/105 + 2*b**6/45 - b**5/10 + 10*b**4/3 - 8*b**2. Let a(g) be the second derivative of k(g). Solve a(d) = 0.
-3, 1
Find w, given that 117/4 - 1/4*w**5 + 155/2*w**2 - 63/2*w**3 - 321/4*w + 21/4*w**4 = 0.
1, 3, 13
Let f(h) = 45*h**2 - 329*h - 26. Let k(v) = -316*v**2 + 2302*v + 180. Let l(b) = -44*f(b) - 6*k(b). Factor l(u).
-4*(u - 8)*(21*u + 2)
Let l = 2925342 - 2027261662/693. Let i = l - 4/77. Factor 0 - i*v**3 + 2/9*v + 2/9*v**2.
-2*v*(v - 1)*(2*v + 1)/9
Let w(o) be the second derivative of 38/3*o**3 + 1/5*o**5 - 11/3*o**4 - 18*o**2 - 12*o - 4. Factor w(g).
4*(g - 9)*(g - 1)**2
Let y = -319537/5 + 63932. Suppose 333/5*p + y*p**3 + 54/5 + 3*p**4 + 339/5*p**2 = 0. What is p?
-3, -2, -1/5
Let j(y) be the first derivative of y**7/2520 + y**6/216 + y**5/60 - 55*y**3 + 33. Let c(u) be the third derivative of j(u). Let c(a) = 0. What is a?
-3, -2, 0
Let p = -1/25740 + 8237/5148. Find m, given that 24/5*m - p*m**5 - 16/5*m**3 + 8/5 + 6*m**4 - 38/5*m**2 = 0.
-1, -1/4, 1, 2
Let m(i) = -i**3 - 3*i**2 + i + 3. Let l(t) = -5*t**5 - 5*t**4 + 105*t**3 - 25*t**2 + 20*t - 90. Let p(h) = -l(h) - 30*m(h). Determine a so that p(a) = 0.
-5, 0, 1, 2
Solve 12*k**4 + 120*k**3 - 2072*k + 12*k**2 - 1634*k - 16*k**4 + 3338*k + 240 = 0 for k.
-2, 1, 30
L