f 0 + 1/50*i**5 - 1/600*i**6 - 3/40*i**4 + 2/15*i**3 - 2*i**2 + 13*i. Factor o(x).
-(x - 4)*(x - 1)**2/5
Factor -1/4*v**2 - 14*v - 27.
-(v + 2)*(v + 54)/4
Let r(d) be the third derivative of d**6/10 + 38*d**5/15 - 55*d**4/6 + 28*d**3/3 + 51*d**2 + d + 1. Factor r(c).
4*(c - 1)*(c + 14)*(3*c - 1)
Suppose h + 4*h = -3*r - 10, 2*h = -4*r - 4. Suppose 2*p - 9 + 3 = -a, r = -2*p - 2*a + 6. Let -3/5*s**p - 3/5*s**4 + 9/5*s**2 - 6/5 + 3/5*s = 0. Calculate s.
-2, -1, 1
Let q(j) = 39*j**2 - 13*j - 12. Let w be q(-1). Suppose s - w = -4*s + 5*m, 4*s = 5*m + 34. Factor 3/2*n**3 - 6*n**2 + 0 + s*n.
3*n*(n - 2)**2/2
Let z(d) be the first derivative of -d**3/18 - 3253*d**2/6 - 10582009*d/6 + 7995. Factor z(x).
-(x + 3253)**2/6
Factor 106*h**2 - 67*h**2 - 2412 - 1644*h - 4*h**3 - 122*h**2 - 209*h**2.
-4*(h + 3)**2*(h + 67)
Let n be (-4 + 4)*3/6. Factor -11*x + 12*x**2 - 21*x**3 + 20*x**3 + n*x**2.
-x*(x - 11)*(x - 1)
Let c(q) be the third derivative of -17/114*q**4 + 2 - 1/570*q**5 + 35/57*q**3 + 0*q - 140*q**2. Let c(k) = 0. Calculate k.
-35, 1
Factor 4/3*m**3 - 2/3*m**5 - 6*m - 8*m**2 + 0 + 8/3*m**4.
-2*m*(m - 3)**2*(m + 1)**2/3
Suppose -8 = -4*h + 4. Factor -9 + 15*m**3 - h*m - 3*m - 9*m**2 + 9.
3*m*(m - 1)*(5*m + 2)
Factor -8*m**3 - 27565*m**4 - 838*m**2 - 51*m**3 + 416*m + 1800 + 604*m + 27564*m**4.
-(m - 2)*(m + 1)*(m + 30)**2
Factor -114 - 1369/6*d - 1/3*d**2.
-(d + 684)*(2*d + 1)/6
Let k = 20555 + -20552. Let 63/4*v + 81/4 + 1/4*v**k - 17/4*v**2 = 0. Calculate v.
-1, 9
Let x(z) be the second derivative of 0*z**3 + 49*z + 0*z**2 - 1/5*z**6 + 0 - 27/40*z**5 - 1/4*z**4. Let x(a) = 0. Calculate a.
-2, -1/4, 0
Let r(u) be the third derivative of -u**7/735 + 4*u**6/35 - 67*u**5/105 - 4*u**4/7 + 45*u**3/7 - 6714*u**2. Determine b, given that r(b) = 0.
-1, 1, 3, 45
Let z(h) be the first derivative of 2*h**5/15 - 5*h**4/9 - 10*h**3/27 + 20*h**2/9 + 8*h/3 + 2147. What is m in z(m) = 0?
-1, -2/3, 2, 3
Let h be (557 - 544)*3/13. Factor 1/9*y**h - 7/9*y**2 + 7/9 - 1/9*y.
(y - 7)*(y - 1)*(y + 1)/9
Let q(z) = -2*z**3 + 2*z**2 + 15*z - 4. Let g be q(3). Let i(w) = -77*w + 387. Let l be i(g). Factor 7/5*f + 17/10*f**l - 1/2*f**3 - 4/5.
-(f - 4)*(f + 1)*(5*f - 2)/10
Let l be (-2 + -3)/(-6 - -9 - 4). Let u(b) = -7*b**2 - 6*b + 1. Let t(y) = -6*y**2 - 6*y + 2. Let k(q) = l*u(q) - 6*t(q). Factor k(f).
(f - 1)*(f + 7)
Solve 645*h + 4 - 135*h**2 + 188*h**3 - 53*h**3 + 174*h**2 - 737*h = 0.
-1, 2/45, 2/3
Let r = 1492 + -1490. Let z(g) be the third derivative of 14*g**r + 1/100*g**5 + 0*g**3 + 0*g**6 + 1/60*g**4 + 0 - 1/1050*g**7 + 0*g. Factor z(v).
-v*(v - 2)*(v + 1)**2/5
What is t in -270/23*t**2 + 638/23*t - 8/23*t**3 - 360/23 = 0?
-36, 1, 5/4
What is t in 12/5*t**3 + 16 - 48/5*t - 1/5*t**4 - 16/5*t**2 = 0?
-2, 2, 10
Let s(t) be the first derivative of -t**5/50 + t**4/2 - 21*t**3/5 + 49*t**2/5 - 255*t - 176. Let u(a) be the first derivative of s(a). Factor u(p).
-2*(p - 7)**2*(p - 1)/5
Let s(a) = 4*a**2 + 1683*a - 1857. Let t(r) = 6*r**2 + 2525*r - 2769. Let u(f) = 14*s(f) - 10*t(f). Factor u(c).
-4*(c - 1)*(c + 423)
Suppose -14*y + 42 + 70 = 0. Suppose 4*g + 3 = -5*x, -3*g + y*g = 5*x + 30. Factor -6/5*v + 0*v**2 + 3/5 + 6/5*v**g - 3/5*v**4.
-3*(v - 1)**3*(v + 1)/5
Let j = 1257/2 - 569. Let r = -583/10 + j. Find c such that -r*c**3 - 2/5*c + 0 - 6/5*c**2 - 2/5*c**4 = 0.
-1, 0
Let g(w) be the third derivative of w**6/8 - 61*w**5/12 + 385*w**4/24 - 95*w**3/6 + 2*w**2 + 861. Let g(m) = 0. What is m?
1/3, 1, 19
Suppose 1338*g + 43 = 1334*g - 5*a, g + 30 = -3*a. Let 7/4*v**4 + 1/2*v**2 - 9/4*v**g + 0 + 0*v = 0. What is v?
0, 2/7, 1
Let c(u) be the third derivative of u**7/1155 - u**6/220 - 7*u**5/66 + 13*u**4/44 + 70*u**3/33 + 580*u**2. Suppose c(w) = 0. Calculate w.
-5, -1, 2, 7
Factor 0 - 108*n + 3/4*n**2.
3*n*(n - 144)/4
Let a be ((-4)/(-8))/((-4)/752). Let u be a/(-8) - 3/(-12). Determine s, given that -16*s - 5*s**3 + 2*s**3 + 6 + 13*s + u*s = 0.
-1, 2
Let z be (372/(-155))/(1*((-5)/(-25) - 3)). What is d in -4/7*d - 2/7*d**5 - 2/7*d**2 + z*d**3 + 0 + 2/7*d**4 = 0?
-1, 0, 1, 2
Let t(u) = u**2 + 994*u - 38. Let v(c) = 9*c**2 + 9939*c - 399. Let w(o) = 21*t(o) - 2*v(o). Factor w(y).
3*y*(y + 332)
Suppose 0 = 5*k + 2*p - 7 - 20, 4*k - 3*p - 17 = 0. Suppose -10*m = -k*m + 16*m. Factor -u - 1/2*u**2 + m + 1/2*u**3.
u*(u - 2)*(u + 1)/2
Let j(g) = -10*g**2 + 32*g + 5. Let k be j(3). Suppose -k = -18*m + 25. What is z in 3/4*z**m - 9/8 - 3/8*z = 0?
-1, 3/2
Solve -3495 + s**2 + 204*s - 5*s**2 + 1670 + 1625 = 0 for s.
1, 50
Let j be (141/423)/(-5 - 185/(-30)). Find c such that 2*c**2 - j*c**4 - 2/7*c - 12/7 + 2/7*c**3 = 0.
-2, -1, 1, 3
Suppose 8*s = 46 + 50. Factor -3*c**4 - s*c - 20*c + 6*c**3 + 32 + 2*c**3 + c**4.
-2*(c - 2)**3*(c + 2)
Suppose -3*p + 7*p = 2*b - 2, 5 = p. Let o = -147 + 150. Factor 5*y**3 - b*y**3 + 3*y**o + 3*y**2.
-3*y**2*(y - 1)
Suppose -99 = -5*i - 44. Let b be 11/i*0/(0 + -1). Let -2*w - 36 + 22*w**2 + b*w + 20*w**3 + 32 = 0. Calculate w.
-1, -1/2, 2/5
Suppose -26 = 5*s - 18*s. Suppose 8*c**3 + 5063*c**2 - 12*c - 2525*c**s - 3*c**4 - 5*c**3 - 2526*c**2 = 0. What is c?
-2, 0, 1, 2
Let j(x) = 28*x - 19. Let y be j(1). Suppose 2*k + 1 = a, k + a = -k + y. Factor -2/11*m**5 - 10/11*m**3 + 0 + 8/11*m**4 + 0*m + 4/11*m**k.
-2*m**2*(m - 2)*(m - 1)**2/11
Let f be (51520/(-65))/(-56) - 14/1. Determine m, given that 0*m + 0 - f*m**2 - 8/13*m**4 - 10/13*m**3 = 0.
-1, -1/4, 0
Let v(f) = 2*f**2 - 4*f - 1. Let n be v(-4). Let l = 53 - n. Factor -16 - 3*h**2 + 14*h + l*h - h**2.
-4*(h - 4)*(h - 1)
Let t(y) be the third derivative of y**7/1365 - 2*y**6/195 + y**5/65 + 2*y**4/39 - 7*y**3/39 - y**2 - 42*y + 3. Find u such that t(u) = 0.
-1, 1, 7
Let r(y) be the first derivative of y**5/20 - 7*y**4/4 - 24*y**3 + 1138. Find k such that r(k) = 0.
-8, 0, 36
Let u be (-307)/(-6) - 7/42. Factor -8 + 7*s + 25*s**2 + 27*s**2 - u*s**2.
(s - 1)*(s + 8)
Let x = 10 - -2. Suppose -2*r + 0 = -x. Factor -4*p + r - p**2 + 4*p - 5*p.
-(p - 1)*(p + 6)
Let n(x) be the third derivative of x**6/405 + 47*x**5/180 + 35*x**4/108 - 18*x**3 + 8*x**2 + 1. Let r(k) be the first derivative of n(k). Solve r(t) = 0.
-35, -1/4
Let 16/3*f + 32 + 1/6*f**2 = 0. What is f?
-24, -8
Let b(j) be the first derivative of -j**5 + 55*j**4/4 - 185*j**3/3 + 225*j**2/2 - 90*j + 532. Let b(n) = 0. Calculate n.
1, 3, 6
Let x(l) = -l**2 - 9*l - 12. Let f be x(-2). Factor -2*h**4 - 184*h**f + 15*h - h**4 + 21*h**3 + 79*h**2 + 72*h**2.
-3*h*(h - 5)*(h - 1)**2
Let j = 4250 + -4248. Let h(z) be the second derivative of 0*z**3 - 1/66*z**4 + 0*z**j - 2*z + 0 - 1/55*z**5 - 1/165*z**6. Factor h(x).
-2*x**2*(x + 1)**2/11
Find n such that 1040*n + 5/3*n**2 + 162240 = 0.
-312
Suppose -56/3*f - 1/3*f**5 + 10/3*f**4 + 0 + 19*f**3 - 10/3*f**2 = 0. What is f?
-4, -1, 0, 1, 14
Let s(d) be the second derivative of -d**5/90 + 179*d**4/27 - 119*d**3/9 + 7481*d. Factor s(x).
-2*x*(x - 357)*(x - 1)/9
Let u(r) be the second derivative of -r**6/15 + 65*r**5/2 - 26243*r**4/6 - 26569*r**3/3 - 2439*r. Factor u(q).
-2*q*(q - 163)**2*(q + 1)
Let k = -746 + 749. Factor -42*d - 77*d + 160*d**2 - 37*d - 4*d**k.
-4*d*(d - 39)*(d - 1)
Let q(g) = -g**3 + 14*g**2 + g - 10. Let p = 17 - 3. Let t be q(p). Factor 2*w + w**4 + 3*w**2 + 14*w**3 - 6*w - t - 10*w**3.
(w - 1)*(w + 1)*(w + 2)**2
Let q(d) be the first derivative of -d**4 + 0*d - 8*d**2 - 16/3*d**3 - 36. Factor q(l).
-4*l*(l + 2)**2
Let z(v) be the third derivative of v**6/480 + 1469*v**5/80 + 2157961*v**4/32 + 3170044709*v**3/24 + v**2 + 1854*v. Factor z(o).
(o + 1469)**3/4
Let z be (-1 - -36) + 0 + -1. Let s be (2/21 + (-100)/(-175))*(2 - -1). Let -p + z*p**2 - 4*p**3 - p + s*p**3 - 30*p**2 = 0. What is p?
0, 1
Let h(t) be the first derivative of -5/6*t**3 + 7/4*t**2 - 3/2*t + 118 + 1/8*t**4. Factor h(y).
(y - 3)*(y - 1)**2/2
Let j(w) = -9*w**2 + 169*w + 40. Let m be j(19). Let v(b) be the first derivative of -2/33*b**3 + 15 - 2/11*b + 2/11*b**m. Factor v(x).
-2*(x - 1)**2/11
Factor -3784*j + 1936 + j**4 + 80*j**3 - 937*j**2 - 21*j**3 + 32*j**3 + 2698*j**2 - 5*j**3.
(j - 1)**2*(j + 44)**2
Suppose 0 = -2*u + 4*i - 34, 179*u + 5*i = 153*u + 128. What is b in 5/6*b**u + 10/3*b**2 - 10/3 - 5/6*b = 0?
-4, -1, 1
Factor 552*h - 27*h**4 - 1082*h**3 + 1049*h**3 + 28*h**4 + 206*h**2.
h*(h - 23)*(h - 12)*