3*(k - 4)*(k - 1)**2
Let u(a) be the first derivative of -3*a**4/20 + 64*a**3/5 - 171*a**2/10 - 1134*a/5 - 7062. What is d in u(d) = 0?
-2, 3, 63
Determine z so that -19894*z**3 + 6*z**4 - 11*z**4 + 1820*z - 1225 - 690*z**2 + 19994*z**3 = 0.
1, 5, 7
Let n be 1659 + 12*6/12. Factor 900*w - 2070 - 296*w**2 + 100*w**3 - 197*w**2 - 5*w**4 - 97*w**2 + n.
-5*(w - 9)**2*(w - 1)**2
Let m(l) be the second derivative of 275/12*l**4 - 13/2*l**5 - 1/6*l**6 + 0*l**2 - 70/3*l**3 + 2 - 5*l. Solve m(c) = 0 for c.
-28, 0, 1
Let n be (-730)/8*((-88)/(-40) - 5). Let r = 257 - n. Determine u so that -3/2*u**3 - 13/2*u + 13/2*u**2 + r = 0.
1/3, 1, 3
Let b(w) = w**2 + w. Let l(y) = y**3 + 2*y**2 + 2*y + 67. Let h(m) = 2*b(m) - l(m). Let a(r) be the first derivative of h(r). Factor a(g).
-3*g**2
Let n be ((-316)/6)/(66/(-1089)) - -6. Let g be (-159)/21 + 7 - (-640)/n. Suppose 2/25*d - 4/25*d**4 - 2/25*d**5 + 0 + g*d**2 + 0*d**3 = 0. What is d?
-1, 0, 1
Let k = -420493/5 + 84101. Suppose -272/5*u**2 + 8/5*u**3 - k*u**5 + 0 + 68/5*u**4 + 32*u = 0. What is u?
-2, 0, 2/3, 2, 5
Let h(c) be the third derivative of c**5/180 + 145*c**4/18 + 42050*c**3/9 - 2967*c**2. Solve h(j) = 0.
-290
Let r = -66/1567 + 22268/7835. Factor 2/5 + r*w**2 + 16/5*w.
2*(w + 1)*(7*w + 1)/5
Suppose -72*p + 14*p + 387 = 387. Determine y so that -1/2*y**3 - 25/2*y**2 - 12*y + p = 0.
-24, -1, 0
Let b(i) be the first derivative of -2/33*i**3 + 0*i**2 - 6*i + 7/66*i**4 - 1/22*i**5 - 7. Let z(p) be the first derivative of b(p). Find y such that z(y) = 0.
0, 2/5, 1
Let g(l) = -32*l - 93. Let d be g(-8). Let z = d + -163. Factor 0*u**3 + z + 0*u**2 - 3/5*u**4 + 0*u.
-3*u**4/5
Let b = 1305373/3 + -435123. Solve 2 - 1/3*p**3 - 1/3*p - b*p**2 = 0 for p.
-3, -2, 1
Let b(w) be the first derivative of w**5/35 - 13*w**4/28 + 10*w**3/21 + 12*w**2/7 - 2226. Factor b(c).
c*(c - 12)*(c - 2)*(c + 1)/7
Let q(l) be the second derivative of l**6/90 + 41*l**5/15 + 803*l**4/36 + 638*l**3/9 + 106*l**2 + 1565*l. Factor q(i).
(i + 1)*(i + 2)**2*(i + 159)/3
Let z = -550 - -561. Factor 33*f + 1 + f**2 - 24 - z.
(f - 1)*(f + 34)
Factor -2227 + 196*d**3 - 69496*d**2 + 28341*d + 11323*d - 3437.
4*(d - 354)*(7*d - 2)**2
Let d(q) be the third derivative of q**5/20 - 12*q**4 - 416*q**3 + 11*q**2 + 74*q + 2. Factor d(v).
3*(v - 104)*(v + 8)
Let k be 16/(-2)*(4/(-6))/(110 + -106). Let r(f) be the first derivative of -k*f**3 + 4/5*f**5 - 6*f**2 + 18 + 0*f + 3*f**4. What is h in r(h) = 0?
-3, -1, 0, 1
Suppose -4*c + 2 - 44 = -5*g, 6*g + 5*c + 28 = 0. Factor -3362/17 - 2/17*q**g + 164/17*q.
-2*(q - 41)**2/17
Let q(y) be the first derivative of 2/3*y**5 + 56/9*y**3 + 0*y + 41 - 11/3*y**4 - 8/3*y**2. Factor q(c).
2*c*(c - 2)**2*(5*c - 2)/3
Suppose -3/7*i**5 + 216/7*i**2 + 0*i - 102/7*i**3 - 111/7*i**4 + 0 = 0. Calculate i.
-36, -2, 0, 1
Let g(x) = 15*x**2 - 202*x + 187. Let d(b) = -5*b**2 + 67*b - 62. Suppose -16*j + 11*j - 4 = -3*k, 0 = -2*j - 4. Let y(v) = k*g(v) - 7*d(v). Factor y(t).
5*(t - 12)*(t - 1)
Let c(i) be the first derivative of 3/2*i + 1/20*i**5 - 5/16*i**4 + 5/8*i**2 - 7/12*i**3 - 4. Factor c(q).
(q - 6)*(q - 1)*(q + 1)**2/4
Let y = 977133 - 3908517/4. Let 27/8*c**3 + 3/8*c**5 + 0 - y*c + 33/8*c**4 - 33/8*c**2 = 0. Calculate c.
-10, -1, 0, 1
Let n be -1 - (-60)/48*1*4. Suppose -7 = -2*y - 3*a + 2*a, n*y = 4*a + 20. Factor y*d**3 + 16*d**2 - 8640 + d**3 - 58*d**2 - 138*d**2 + 2160*d.
5*(d - 12)**3
Let z(x) = -7*x**5 + 15*x**4 + x**3 - 15*x**2 + 6*x + 48. Let m(u) = -8*u**5 + 16*u**4 + u**3 - 16*u**2 + 7*u + 56. Let y(b) = -6*m(b) + 7*z(b). Factor y(c).
-c**2*(c - 9)*(c - 1)*(c + 1)
Suppose 13633*x - 13741*x + 216 = 0. Factor -1/5 + 1/10*p**x + 1/10*p.
(p - 1)*(p + 2)/10
Let d(k) = -68*k**2 + 652*k - 1104. Let b(z) = 3*z**2 - 5*z + 1. Let w(t) = 24*b(t) + d(t). Factor w(s).
4*(s - 2)*(s + 135)
Let s(h) be the first derivative of -1/54*h**4 + 0*h**3 + 11*h + 4/9*h**2 - 4. Let k(i) be the first derivative of s(i). Factor k(g).
-2*(g - 2)*(g + 2)/9
Let c be 45/675 - (-2 + 176/(-60)). Let g(p) be the first derivative of -5/3*p**4 + 40/3*p**2 + 0*p**3 + 1/3*p**c + 8 - 80/3*p. Suppose g(n) = 0. Calculate n.
-2, 2
Let q(h) be the first derivative of h**4/16 + 23*h**3/12 + 39*h**2/8 - 63*h/4 + 1550. Solve q(z) = 0 for z.
-21, -3, 1
Suppose 5*a - 26 + 11 = 0. Suppose 0 = -193*o + 194*o + 5*r + 10, -r = -4*o + 2. Factor o + 2/11*d + 2/11*d**a + 4/11*d**2.
2*d*(d + 1)**2/11
Let s = 59 - 57. Let a(f) = 3*f**2 - 3*f + 11*f**s - 9*f**2 - 3*f. Let q(k) = 30*k**2 - 35*k. Let y(o) = 25*a(o) - 4*q(o). Factor y(t).
5*t*(t - 2)
Let a(i) be the third derivative of 0 + 4*i**2 - 19*i + 0*i**3 + 9/16*i**4 + 1/80*i**5. Determine k so that a(k) = 0.
-18, 0
Let k(m) be the third derivative of -m**6/2880 + m**5/160 - 5*m**4/192 + 16*m**3/3 + 7*m**2 + 3*m. Let l(n) be the first derivative of k(n). Factor l(b).
-(b - 5)*(b - 1)/8
Let w(t) be the second derivative of t**5/30 + t**4/6 + t**3/3 - 65*t**2/2 - 13*t. Let z(q) be the first derivative of w(q). Factor z(s).
2*(s + 1)**2
Let v(d) be the second derivative of d**6/50 - 9*d**5/50 + d**4/4 + 332*d. Solve v(k) = 0.
0, 1, 5
Let b(f) be the first derivative of -2*f**5/45 - 61*f**4/3 - 29768*f**3/9 - 1815848*f**2/9 + 728. Factor b(r).
-2*r*(r + 122)**3/9
Let o be (-38 + 2)*(-518)/2664. Suppose 1/7*b**3 + 9*b - o - 15/7*b**2 = 0. What is b?
1, 7
Let p be (-266)/(-56)*2*12/247. Determine s, given that -2/13*s**2 - p*s + 20/13 = 0.
-5, 2
Let i be 65/(-26)*12/(-15). Factor 26*l**i - 54*l + 6*l + 26*l**2 - 4*l**3.
-4*l*(l - 12)*(l - 1)
Let j = 2048/123 + -341/41. Determine s, given that 115*s**2 - 80/3*s - 100/3 + j*s**4 - 190/3*s**3 = 0.
-2/5, 1, 2, 5
Let u(h) be the first derivative of h**4/20 - 4*h**3/5 + 18*h**2/5 + 44*h - 78. Let i(z) be the first derivative of u(z). What is k in i(k) = 0?
2, 6
Let g be (-40)/6*9/(-12). Factor -447*j**3 + 457*j**3 + 12*j**2 - g*j**4 + 23*j**2 + 20*j.
-5*j*(j - 4)*(j + 1)**2
Suppose 43*c + 652 - 381 - 357 = 0. Solve -8/15*m + 2/15*m**4 + 0 + 2/5*m**3 + 0*m**c = 0 for m.
-2, 0, 1
Solve 3488/9*g - 4/3*g**2 + 388/3 = 0.
-1/3, 291
Let t be (28/(-252) + 1124/396)*90/25. Find d such that t*d**2 + 11664/11 + 2/11*d**3 + 1944/11*d = 0.
-18
Let l(c) be the third derivative of -68*c**2 + c + 0 + 4/33*c**4 + 28/33*c**3 + 1/330*c**5. Determine y, given that l(y) = 0.
-14, -2
Let j be 36/(-90) - 4/(-10). Let w(z) be the first derivative of 2/3*z**2 + j*z + 2/9*z**3 + 4. Let w(q) = 0. What is q?
-2, 0
Factor 28 - 14*m - 18/7*m**2.
-2*(m + 7)*(9*m - 14)/7
Let f(z) = -z**3 - 4*z**2 + 23*z + 80. Let w be f(-6). Factor -12*k - 19*k**2 + 20*k**4 - 8*k**3 - w*k**4 - 7*k**4.
-k*(k + 1)*(k + 3)*(k + 4)
Let k(j) be the third derivative of -9*j**7/280 + 87*j**6/160 + 143*j**5/80 - 111*j**4/32 - 55*j**3/4 + 433*j**2. Find p, given that k(p) = 0.
-5/3, -2/3, 1, 11
Let x be (-24)/4 + 2 + 6. Let -5 - 6*w - w**2 - 4*w - 7*w**2 + 3*w**x = 0. What is w?
-1
Let o(b) be the second derivative of -b**8/53760 + b**7/6720 - b**5/240 + 13*b**4/2 - b - 2. Let x(a) be the third derivative of o(a). Factor x(l).
-(l - 2)**2*(l + 1)/8
Let w = -28/6341 + 12878/44387. What is u in -w*u**4 - 12/7*u + 10/7 - 8/7*u**2 + 12/7*u**3 = 0?
-1, 1, 5
Let n = -697/3 - -235. Let b = -684 - -687. Factor 4/3*m**2 - n*m + 8/3*m**b + 2/3*m**4 - 2.
2*(m - 1)*(m + 1)**2*(m + 3)/3
Let k be ((-171)/3 - -2)/1. Let j = k + 57. What is r in -59*r + 40*r + 16 - 2*r**j + 33*r = 0?
-1, 8
Let i(m) be the second derivative of m**6/30 - 4*m**4/3 + 101*m + 3. Factor i(w).
w**2*(w - 4)*(w + 4)
Let b(n) be the second derivative of n**4/15 + 1492*n**3/15 + 278258*n**2/5 + 833*n. Factor b(m).
4*(m + 373)**2/5
Let x be 8/(-12)*(0 + 12/(-16)). Let d(u) be the first derivative of x*u**2 + 2*u + 5 - 1/3*u**3. Factor d(o).
-(o - 2)*(o + 1)
Let n = -164479 + 164493. Determine l, given that n*l - 40/3*l**2 + 0 - 2/3*l**3 = 0.
-21, 0, 1
Let l be ((-1)/5)/((-3)/30). Let -2*n**5 - 9*n**4 - 7*n**4 + 20*n**4 - l*n**3 + 0*n**5 = 0. Calculate n.
0, 1
Let r(f) be the second derivative of f**7/168 + f**6/40 - 93*f**5/80 - 587*f**4/48 - 37*f**3 - 99*f**2/2 - 2134*f. What is q in r(q) = 0?
-6, -1, 11
Suppose -31*p - 11 = -209 + 105. Let v(o) be the first derivative of o**2 - 2/27*o**p + 12 + 20/9*o. Determine c so that v(c) = 0.
-1, 10
Let p(n) be the third deriva