 24*m**2 - 10*m**2 - 4*m**2 + 400*m**3 - g*m**2 - 412*m**3.
3*m**2*(m - 7)*(m + 3)
Let r = -33 - -38. Suppose -3*d + 23 = -4*m, d - r = 2*m + 4. Factor -d*j + 5 - 5/4*j**2 + 5/4*j**3.
5*(j - 2)*(j - 1)*(j + 2)/4
Let s(t) be the second derivative of -t**6/6 - 18*t**5 + 185*t**4/2 - 560*t**3/3 + 375*t**2/2 - 1667*t. Factor s(w).
-5*(w - 1)**3*(w + 75)
Let a = 5 - -1. Let w be (138/(-874))/(10/(-95)). Factor -w*v**2 + a*v - 9/2.
-3*(v - 3)*(v - 1)/2
Let m(a) = 61*a**4 + 36*a**3 - 60*a**2 - 12*a. Let c(v) = -26*v**4 - 18*v**3 + 28*v**2 + 6*v. Let z(k) = 10*c(k) + 4*m(k). Factor z(n).
-4*n*(n - 1)*(n + 3)*(4*n + 1)
Suppose 193*t - 7784 = -81*t + 710. Let d(v) be the second derivative of -169/3*v**3 - 2197/3*v**2 - 1/30*v**5 + t*v + 0 - 13/6*v**4. What is u in d(u) = 0?
-13
Let t be 370/117 - (-754)/3393. Determine o, given that -16/13 - 2/13*o**4 + 16/13*o**3 - 42/13*o**2 + t*o = 0.
1, 2, 4
Let s = -551 + 563. Find x such that 124*x**4 - 128*x - 643 - 4*x**3 - 629 + 1352 - s*x**5 - 348*x**2 = 0.
-1, 1/3, 2, 10
Suppose 18*t - 2*t - 25 = 2*t + 3. Factor 1/3*p**4 - 1/3 + 2/3*p**3 - 2/3*p + 0*p**t.
(p - 1)*(p + 1)**3/3
Determine d so that -104*d**3 + 54*d + 8*d**2 + 3*d + 47*d + 54*d**2 - 105 + 44*d**2 - d**4 = 0.
-105, -1, 1
Let d be (((-80080)/(-10))/(-14))/(1 - 2). Let u = -570 + d. Let 3/4*f**u + 9/2 + 15/4*f = 0. What is f?
-3, -2
Suppose 20*j - 12 = 17*j. Let 10 + 25*t + 55*t**j + 0*t**3 - 20*t**5 - 25*t**2 - 14*t**2 - 26*t**2 - 5*t**3 = 0. Calculate t.
-1, -1/4, 1, 2
Let j(v) be the third derivative of v**9/72576 + v**8/3024 - v**7/672 + 13*v**5/60 + 96*v**2. Let k(t) be the third derivative of j(t). Solve k(o) = 0 for o.
-9, 0, 1
Let t(u) = -u**2 - 1315*u + 5278. Let b be t(4). Solve 1/6*r + 0 + 1/6*r**b = 0 for r.
-1, 0
Suppose 3*y = 2*y + 5. Suppose -298 = -4*p + 166. Factor -10*o**3 - 116*o**2 + y*o + p*o**2 + 5*o**5.
5*o*(o - 1)**2*(o + 1)**2
Suppose -3 = 3*w, -3*l + 7*l - 5*w = 565. Let q = -138 + l. Suppose -4/9*j**3 + 0 - 4/9*j**q + 0*j = 0. Calculate j.
-1, 0
Let a(s) = -5. Let f(w) = w - 41. Let i(v) = -51*a(v) + 6*f(v). Let r be i(-1). Determine h, given that -12*h**2 - 2*h + r*h**2 + 8*h**2 - 1 = 0.
-1
Let v(c) = c**2 - 2*c. Let o(h) = -7*h**2 - 5*h - 6. Let d(s) = -o(s) - 6*v(s). Let f(n) = -n**2 - 15*n - 6. Let a(m) = 5*d(m) + 6*f(m). Factor a(i).
-(i + 2)*(i + 3)
Let j(o) = -25*o**4 + 95*o**3 + 390*o**2 + 574*o + 286. Let a(z) = 20*z**4 - 95*z**3 - 390*z**2 - 575*z - 285. Let t(g) = -6*a(g) - 5*j(g). Factor t(b).
5*(b + 1)*(b + 2)**2*(b + 14)
Find j such that -6*j - 2/5*j**2 + 108/5 = 0.
-18, 3
Let w be 18/(-10)*(-60)/36. Find g, given that -6*g**w - 52 + 9*g + 10*g**2 + 7*g**3 + 52 = 0.
-9, -1, 0
Let j be ((-243)/54)/(204/(-17)). Suppose -3*m + 6*m = 9. Determine i so that 3/8*i**4 - j*i**2 + 0 - 15/8*i + 15/8*i**m = 0.
-5, -1, 0, 1
Let d(z) be the third derivative of 0*z + 49/24*z**3 + 42*z**2 + 7/48*z**4 + 1/240*z**5 + 0. Factor d(v).
(v + 7)**2/4
Factor -1566/19 + 528/19*p - 2/19*p**2.
-2*(p - 261)*(p - 3)/19
Let q(p) be the second derivative of -1/90*p**4 + 1/45*p**3 - 41 + 0*p**2 - 3*p. Factor q(d).
-2*d*(d - 1)/15
Suppose 116/3*l**2 + 104/3*l - 4/3*l**5 + 44/3*l**3 - 4/3*l**4 + 32/3 = 0. Calculate l.
-2, -1, 4
Determine q, given that -63 + 12*q - 1/4*q**2 = 0.
6, 42
Let q(i) be the first derivative of -52/33*i**3 - 12/11*i**4 - 4/11*i**2 + 4/33*i**6 - 20 - 2/55*i**5 + 6/11*i. Determine c so that q(c) = 0.
-1, 1/4, 3
Let p(i) = 17*i**3 - 554*i**2 + 7220*i - 7. Let d(o) = 8*o**3 - 276*o**2 + 3615*o - 3. Let r(g) = -7*d(g) + 3*p(g). Determine z, given that r(z) = 0.
0, 27
Suppose -w = c - 24, -5*c = -20 + 15. Suppose r + w*r - 48 = 0. Solve 2/15*z**5 + 32/15*z + 16/15*z**r - 32/15 - 16/15*z**3 - 2/15*z**4 = 0 for z.
-2, 1, 2
Let h = -16 + 20. Suppose 7*c**2 - 5*c**3 + 3*c**4 - 6*c**4 + h*c**4 + 15*c**2 - 36*c**2 = 0. Calculate c.
-2, 0, 7
Let l(d) be the third derivative of -d**6/240 + 53*d**5/120 + 9*d**4/8 + d**2 - 34*d + 1. Determine h so that l(h) = 0.
-1, 0, 54
Let q(a) = -23*a**2 - 14*a - 186. Let t(j) = 35*j**2 + 13*j + 183. Let o(k) = -3*q(k) - 2*t(k). Solve o(c) = 0 for c.
-8, 24
Factor -843648/11 - 747240/11*k**2 + 1638624/11*k - 46806/11*k**3 - 6/11*k**5 - 84*k**4.
-6*(k - 1)**2*(k + 52)**3/11
Let c = -2/226065 + 150716/678195. Find v such that -c*v**2 + 2/9*v**3 + 2/9*v**4 + 0*v + 0 - 2/9*v**5 = 0.
-1, 0, 1
Let i(j) be the third derivative of -j**6/24 - j**5/4 + 35*j**4/6 + 5*j**2 + 193. Factor i(a).
-5*a*(a - 4)*(a + 7)
Let d(j) be the first derivative of 2592*j**5/5 + 2610*j**4 + 21313*j**3/6 + 145*j**2 + 2*j - 1258. Let d(z) = 0. Calculate z.
-2, -1/72
Suppose h + 10 = 3*r, 5*r + 15 = 3*r + 5*h. Factor 5*d - 6*d - r*d + 2*d**2.
2*d*(d - 3)
Let k(z) = -z**3 - 526*z**2 + 533*z + 1048. Let y(q) = -528*q**2 + 534*q + 1047. Let g(r) = 3*k(r) - 2*y(r). Determine t, given that g(t) = 0.
-175, -1, 2
Let n(o) be the first derivative of 2*o**3/57 + 45*o**2/19 - 728*o/19 - 4188. Solve n(d) = 0 for d.
-52, 7
Let q(a) = 0 + 51*a**2 - 56*a**2 + 13*a - 4. Let t(o) = -9*o**2 + 25*o - 9. Let u(s) = 7*q(s) - 4*t(s). Solve u(d) = 0.
1, 8
Factor -1/4*z**5 - 67/4*z**3 - 7/2*z**4 - 14 - 37*z - 73/2*z**2.
-(z + 1)*(z + 2)**3*(z + 7)/4
Let h(u) be the second derivative of -54*u - 3*u**2 - 1/25*u**6 - 13/5*u**4 + 21/25*u**5 + 0 - 1/35*u**7 + 19/5*u**3. Factor h(b).
-6*(b - 1)**4*(b + 5)/5
Let p(v) = 11*v + 550. Let h be p(-50). Let n(m) be the third derivative of -1/144*m**4 + 0 + 10*m**2 + h*m + 0*m**3 + 1/720*m**6 + 0*m**5. Factor n(g).
g*(g - 1)*(g + 1)/6
Let h(b) be the third derivative of -8*b**6/15 - 296*b**5/15 + 815*b**4/6 - 350*b**3 - 7536*b**2. Factor h(o).
-4*(o + 21)*(4*o - 5)**2
Let f(c) = 47 + 61 + 75 - 67 + 35*c + 59. Let s be f(-5). Suppose 0*n - 2*n**2 + s + 14/3*n**4 - 10/3*n**5 + 2/3*n**3 = 0. What is n?
-3/5, 0, 1
Let f be 15/5 - -6 - 7. Factor -30*u - 64*u**f + 67*u**2 + 578 + 622 - 90*u.
3*(u - 20)**2
Let l = 6536227/12750 - 131/750. Let -264/17*p + l + 2/17*p**2 = 0. What is p?
66
Let r(p) = -p**4 + p**3 - 2*p**2 + 2*p + 2. Let k(g) = 5*g**4 - 91*g**3 + 1856*g**2 + 1928*g - 8. Let x(n) = k(n) + 4*r(n). Suppose x(b) = 0. What is b?
-1, 0, 44
Find k, given that -808*k**3 + k**4 - 113*k**2 + 240*k + 427*k**3 + 389*k**3 = 0.
-16, 0, 3, 5
Let a = 493/7356 + 10/613. Let m(n) be the third derivative of -a*n**5 + 5/6*n**3 + 0 + 1/24*n**6 - 5/24*n**4 + 0*n - 3*n**2. Suppose m(y) = 0. Calculate y.
-1, 1
Suppose 131*q = -315*q + 670 + 222. Factor x**q - 1/2*x**3 + 0*x - x**4 + 0 + 1/2*x**5.
x**2*(x - 2)*(x - 1)*(x + 1)/2
Suppose 2*w = 2, 3*w + 131 + 253 = -3*a. Let y be (215/a)/(10/(-12)). Let -4/5*v - 6/5*v**y + 0 - 2/5*v**3 = 0. Calculate v.
-2, -1, 0
Let s(o) be the second derivative of o**6/12 - 25*o**5/8 + 595*o**4/24 - 475*o**3/12 - 1563*o. What is p in s(p) = 0?
0, 1, 5, 19
Let f(i) = 2*i**3 + 89*i**2 + 30*i - 613. Let j be f(-44). Determine m so that 10/3*m + 2/3*m**2 - 2/3*m**j + 2 = 0.
-1, 3
Let u(t) be the first derivative of 4*t**4 + 8332*t**3 + 15612*t**2 + 6244*t + 746. Determine q so that u(q) = 0.
-1561, -1, -1/4
Let t(l) = 6*l**3 + 26*l**2 - 30*l + 28. Let r(i) = -i**3 - i**2 - 3*i - 1. Let m(u) = -5*r(u) - t(u). Let m(z) = 0. What is z?
-23, 1
Let n(z) be the first derivative of -125*z**6/24 - 15*z**5 + 195*z**4/16 + 575*z**3/6 + 285*z**2/2 + 90*z - 638. What is t in n(t) = 0?
-6/5, -1, 2
Let w be -11 + -7 + 6 + 189950/325. Solve 2/13*k**2 + 244/13*k + w = 0.
-61
Let d(o) = -13*o**2 - 16*o + 29. Let x(w) = -w**2 + 2*w - 1. Let u be 6/(-24) + 174/(-8). Let f(z) = u*x(z) + 2*d(z). Factor f(m).
-4*(m - 1)*(m + 20)
Let f = 265273 - 265271. Solve -98/3*h**3 + 0 - 56*h**f - 24*h = 0 for h.
-6/7, 0
Suppose 124/7*k - 138/7*k**2 + 2/7*k**3 + 816/7 = 0. What is k?
-2, 3, 68
Let s(r) be the first derivative of -r**6/10 - 32*r**5/25 + 68*r**4 + 190*r**3/3 - 1357*r**2/10 - 918*r/5 + 3485. Suppose s(f) = 0. Calculate f.
-27, -1, -2/3, 1, 17
Let j(q) be the first derivative of 3*q**5 - 15/4*q**4 + 5/3*q**3 - 5/6*q**6 - 31 + 0*q + 0*q**2. Find h, given that j(h) = 0.
0, 1
Let g(f) be the second derivative of -11*f**5/5 - 18*f**4 - 122*f**3/3 + 12*f**2 + f + 376. Factor g(n).
-4*(n + 2)*(n + 3)*(11*n - 1)
Let z(w) = 5*w**3 - 40*w**2 + 920*w + 2060. Let b(r) = 3*r**3 - 28*r**2 + 613*r + 1375. Let q(t) = 20*b(t) - 13*z(t