0*v**2 + 32*v. Factor f(h).
2*h*(h + 9)*(h + 10)/9
Let g(t) = -298 + 3*t**2 + 581 - 260 - 64*t. Let n be g(21). Factor 208/7*c - 32/7 - 338/7*c**n.
-2*(13*c - 4)**2/7
Factor -148/3*u - 176/3 - 2/3*u**3 - 34/3*u**2.
-2*(u + 2)*(u + 4)*(u + 11)/3
Let f be (1854/(-824))/(3/(-2)). Let 9/2*x**2 + 3/2*x**3 + f + 9/2*x = 0. Calculate x.
-1
Suppose -5*n - 31 = -41. Let y be (-1)/(-5)*n/(-6 + 7). Factor y + 4/5*m**3 - 4/5*m - 2/5*m**2.
2*(m - 1)*(m + 1)*(2*m - 1)/5
Suppose 26 = 2*v + 4*s, -5*v = -7*v + s + 36. Let w(m) be the second derivative of -1/6*m**3 + 1/48*m**4 + 3/8*m**2 + v*m + 0. Factor w(z).
(z - 3)*(z - 1)/4
Let i(y) = -2*y**3 - 58*y**2 + 382*y - 286. Let n(a) = a**3 + 69*a**2 - 382*a + 285. Let o(p) = -3*i(p) - 4*n(p). Find v such that o(v) = 0.
1, 3, 47
Let j = -2765/6 - -6914/15. Solve j*u**5 - u**4 + u**2 + 0 + 4/5*u**3 - 9/10*u = 0.
-1, 0, 1, 9
Suppose 0 = -5*x - a + 26, -5*x = 2*a - 402 + 370. Let q(i) be the first derivative of 0*i**2 + 0*i - 28 - i**x + 4/3*i**3. Factor q(k).
-4*k**2*(k - 1)
Suppose 8*y = 273 + 247. Let t = y - 51. Factor -m**3 + 0*m**2 + 3*m**3 - t*m + m**4 - 3*m**2 + 10*m + 4.
(m - 1)**2*(m + 2)**2
Let n(c) be the third derivative of 0*c**3 + 125*c**2 + 1/2*c**4 - 1/20*c**5 + 0 + 0*c. Factor n(p).
-3*p*(p - 4)
Factor 1/4*y**3 + 8821888 + 246*y**2 + 80688*y.
(y + 328)**3/4
Let p(d) = 48*d**2 + 6771*d + 423. Let t be p(-141). Factor 0 + 3/4*v**2 + t*v.
3*v**2/4
Let d(z) be the third derivative of -z**7/210 - z**6/12 - 9*z**5/20 - 3*z**4/4 + 1107*z**2. Factor d(g).
-g*(g + 1)*(g + 3)*(g + 6)
Let c = 435768/5 - 87153. Factor -18/5 + c*r**2 + 3*r.
3*(r - 1)*(r + 6)/5
Let u be ((-42)/63)/((-22)/6 - -1). Let t be 10/120*(40 + -13). Let -u*v**3 - t*v + 1 + 3/2*v**2 = 0. What is v?
1, 4
Let s = 141 + -131. Let t(n) = n**3 + 10*n**2 + n + 13. Let d be t(-10). Factor 4 - s*w - 32*w**3 + 16*w**2 + 1 + 24*w - d.
-2*(w - 1)*(4*w + 1)**2
Let 15*p**3 + 9*p**3 + 17*p**4 - 24*p - 20*p**2 + 12*p**4 - 31*p**4 + 22 = 0. What is p?
-1, 1, 11
Let s = 113 + -118. Let u be (-20)/(s/((-25)/(-10))). Let 133*r**2 + 2*r**2 - u - 237*r**3 + 82*r**3 + 30*r**4 + 25*r**4 - 25*r = 0. What is r?
-2/11, 1
Let h = 18733 + -149863/8. Let t(k) = k**2 + 5*k - 3. Let x be t(-6). Solve 3/8*z**2 + h - 3/8*z - 1/8*z**x = 0.
1
Suppose -2*m - 37 = -3*d, 0 = -340*m + 342*m - d + 7. Factor 136/7*h - 12*h**2 - 2/7*h**m - 80/7 + 22/7*h**3.
-2*(h - 5)*(h - 2)**3/7
Factor 8/3*q - 1/6*q**3 + 16 - q**2.
-(q - 4)*(q + 4)*(q + 6)/6
Let l(q) be the second derivative of q**4/21 + 418*q**3/21 + 416*q**2/7 - 1039*q. Suppose l(n) = 0. What is n?
-208, -1
Let s = 1538819/2 + -769363. Let -s*v + 9/2*v**2 - 33 = 0. Calculate v.
-2/3, 11
Let b = -43 - -49. Let y = 8 - b. Factor -30*c**y + 5*c**2 + 10*c**4 + 5*c**5 - 15*c**3 + 8*c**2 - 20*c - 23*c**2.
5*c*(c - 2)*(c + 1)**2*(c + 2)
Let t(k) be the second derivative of k**4/30 + 82*k**3/15 - 144*k**2 + 14*k + 1. Solve t(h) = 0 for h.
-90, 8
Let 108*u - 216*u**2 + 72*u**4 - 119*u + 165 + 171*u + 83*u - 309*u**3 - 3 + 48*u**5 = 0. Calculate u.
-3, -3/4, 1, 2
Suppose 87 = u + 2*k, -4*u + 2*k = -0*u - 368. Let q = u + -89. Find l such that 30*l**2 - 28*l**q + 5*l - 5*l - 8 = 0.
-2, 2
Let c(o) = -22*o**2 + 53*o + 13. Let m(r) = 155*r**2 - 370*r - 90. Suppose -10*d + 7*d = -24. Let l be (3 - 2)/(4/d). Let t(g) = l*m(g) + 15*c(g). Factor t(i).
-5*(i - 3)*(4*i + 1)
Suppose -m = 4*t - 272, -3*t - 369 - 776 = -4*m. Let j = m + -112. Factor 6*i**3 + 175*i**4 - j*i**4 - 3*i - 3*i**2 - 3*i.
3*i*(i - 1)*(i + 1)*(i + 2)
Let p be ((-80)/15 - -6)*(-192)/(-256). Determine z, given that 0*z - 1/2 + p*z**2 = 0.
-1, 1
Let b be (24/99)/((2769/429)/71). Factor b + 20/9*w + 4/9*w**2.
4*(w + 2)*(w + 3)/9
Factor 9 - 23/2*n + 5/2*n**2.
(n - 1)*(5*n - 18)/2
Factor -864/5 - 59832/5*b - 1381122/5*b**2 - 21253933/10*b**3.
-(277*b + 12)**3/10
Let a be 812/8 + (48/(-8) - -2). Let p = 98 - a. Let 3/4*r**5 - p*r**4 - 3/2*r**3 + r**2 - 1/2 + 3/4*r = 0. Calculate r.
-1, 2/3, 1
Find v, given that -1/2*v**3 - 129/2*v**2 + 65*v + 0 = 0.
-130, 0, 1
Let f(s) be the first derivative of -s**3/15 + 57*s**2/5 - 424. What is t in f(t) = 0?
0, 114
Let 308/15*h**3 - 634/5*h**2 + 0 + 192*h + 2/15*h**4 = 0. Calculate h.
-160, 0, 3
Find x, given that -1605*x - 1661*x + 15*x**3 + 3166*x + 17 + 43 + 5*x**2 = 0.
-3, 2/3, 2
Let h(q) = 1313*q + 154936. Let l be h(-118). Factor -2*p - 1/2*p**3 + 0 + 2*p**l.
-p*(p - 2)**2/2
Let -3 - 13/3*x**2 + 22/3*x**4 - 7/6*x**5 + 25/2*x - 34/3*x**3 = 0. What is x?
-1, 2/7, 1, 3
Let u(h) be the second derivative of 0 + 1/12*h**4 + 1/9*h**3 + 84*h + 0*h**2 + 1/60*h**5. Factor u(f).
f*(f + 1)*(f + 2)/3
Let v(t) = -3*t + 106. Suppose 4*j - 544 = -12*j. Let x be v(j). What is u in 0 + 0*u + 4/3*u**3 - 1/3*u**x - u**2 = 0?
0, 1, 3
Let o = 65 - 38. Let j = 30 - o. Factor 4*h**3 - 8*h**4 + h - 16*h**j + 4*h**5 - h.
4*h**3*(h - 3)*(h + 1)
Factor 215 + 33 + z**5 + 45*z**4 + 597*z + 193 - 86*z**2 - 198*z**3.
(z - 3)**2*(z + 1)**2*(z + 49)
Let 548*q**2 + 192*q**3 + 107*q + 124*q - 839 + 1297*q + 4*q**4 + 1511 + 496*q**2 = 0. What is q?
-42, -4, -1
Let b = -3561 - -3564. Let u(o) be the second derivative of 0 + 1/45*o**5 - 1/9*o**2 + 1/135*o**6 + 0*o**4 - 2/27*o**b + 4*o. Factor u(l).
2*(l - 1)*(l + 1)**3/9
Let t(z) be the second derivative of -z**8/2100 + z**7/1050 + z**6/75 - 89*z**3/6 + z**2 - 49*z. Let d(b) be the second derivative of t(b). Factor d(o).
-4*o**2*(o - 3)*(o + 2)/5
Let s = -133 + 135. Suppose s*g - 4*x = 6*g - 40, -4*x + 26 = 3*g. Factor 4 - 2*v**3 + 15 - 3 - 28*v + 0 + g*v**2.
-2*(v - 4)*(v - 2)*(v - 1)
Let l = 52 + -51. Let h(r) = -r**2 - r. Let v(d) = 28*d**2 - 137*d - 60. Let p(o) = l*v(o) + 3*h(o). Factor p(z).
5*(z - 6)*(5*z + 2)
Let t = -189439/9 + 21049. Determine n so that -26*n + 40/9*n**2 + 36 - t*n**3 = 0.
2, 9
Let f(o) be the first derivative of o**4/3 - 17*o**3/3 - 9*o**2 - 236*o - 60. Let l(t) be the first derivative of f(t). Factor l(a).
2*(a - 9)*(2*a + 1)
Let w(o) be the third derivative of -5/6*o**4 - 57*o**2 - 1/12*o**6 + 0*o**3 + 0*o + 1/42*o**7 + 0 - 7/12*o**5. Factor w(k).
5*k*(k - 4)*(k + 1)**2
Let -101/5*l - 14 + 23/5*l**2 = 0. Calculate l.
-14/23, 5
Let z(i) be the first derivative of -i**6/480 - 7*i**5/80 - i**3/3 + 10*i**2 + 114. Let v(t) be the third derivative of z(t). Factor v(u).
-3*u*(u + 14)/4
Let j(h) = -h**2 - 2*h. Let b(g) = 72*g**2 + 2176*g + 112. Let d(x) = b(x) - 6*j(x). Factor d(p).
2*(p + 28)*(39*p + 2)
Let k be -6 - (15/3 + -13). Factor -j - 8*j + j - 2*j**3 + 85*j**2 - k*j - 4 - 93*j**2.
-2*(j + 1)**2*(j + 2)
Find f, given that 235*f**2 - 95*f - 48*f**3 - 70*f**2 + 64*f + 31*f + 3*f**4 = 0.
0, 5, 11
Let f(b) = -b**3 + 7*b**2 - 9*b - 5. Let y be f(5). Suppose p - 3 - 5 = y. Suppose -i**2 - 2*i**2 - p*i + 5*i**2 + 0*i**2 = 0. What is i?
0, 4
Let h(d) = -17*d**4 - 297*d**3 + 469*d**2 - 239*d + 41. Let f = 30 - 31. Let k(x) = -x**4 - x**3 + x**2 - x + 1. Let q(o) = f*h(o) + k(o). Factor q(n).
2*(n + 20)*(2*n - 1)**3
Let c = 12711 + -50841/4. Let s(y) be the second derivative of -27*y + 1/32*y**4 + c*y**2 + 5/16*y**3 + 0. Solve s(d) = 0 for d.
-4, -1
Factor 0*p**2 + 0*p + 0 - 1/8*p**4 + 2*p**3.
-p**3*(p - 16)/8
Factor -25/2*c**2 - 45/4 + 21*c + 3*c**3 - 1/4*c**4.
-(c - 5)*(c - 3)**2*(c - 1)/4
Factor -164/3*c + 13/3*c**2 - 52/3 + 41/3*c**3.
(c - 2)*(c + 2)*(41*c + 13)/3
Let d(k) be the third derivative of 1/330*k**5 + 115*k**2 + 0*k + 0 - 5/11*k**3 + 7/66*k**4. Factor d(z).
2*(z - 1)*(z + 15)/11
Let o(g) be the third derivative of 7/260*g**6 - g**2 + 0 - 1/273*g**7 + 23/156*g**4 + 0*g - 11/130*g**5 - 2/13*g**3. Factor o(h).
-2*(h - 1)**3*(5*h - 6)/13
Let w(u) be the third derivative of -2*u**7/105 + 16*u**6/15 - 38*u**5/3 + 64*u**4 - 150*u**3 + u**2 + 307*u. Find c, given that w(c) = 0.
1, 3, 25
Let h(n) be the third derivative of n**8/3192 - 13*n**7/399 - 341*n**6/1140 - 623*n**5/570 - 122*n**4/57 - 140*n**3/57 + 13742*n**2. Let h(z) = 0. What is z?
-2, -1, 70
Suppose 5*h + 60 = -x, h + 2*x + 15 = -6. Let a be h/2 - (-90)/(12 + 3). Factor -3/2*v - a*v**5 + 0*v**4 + 2*v**3 + v**2 - 1.
-(v - 2)*(v - 1)*(v + 1)**3/2
Suppose 6 = 2*n, 409 - 102 = v + n. Let c = v + -304. Find p, given that 4/3*p**2 - 20/9*p**3 + 4/9*p**4 + 4/9*p**5 + c*p + 0 = 0.
-3, 0, 1
Let l be (-14 - -104)*(-13 - (-6579)/495). Determine