7*k - 255078*k. Factor 1/3*b**4 + 0*b**k - 6*b**3 + 0*b + 0.
b**3*(b - 18)/3
Let k(h) be the third derivative of -19/12*h**4 + h + 1/30*h**5 + 0 - 5*h**2 + 6*h**3. Factor k(f).
2*(f - 18)*(f - 1)
Factor -17 + 89 - 57*q**2 + 12*q - 9*q + 12*q.
-3*(q + 1)*(19*q - 24)
Let l(b) be the second derivative of 0*b**2 + 2*b - 10 + 0*b**4 - 9/35*b**5 + 0*b**3 - 2/105*b**6. What is k in l(k) = 0?
-9, 0
Let x(t) = -3*t**2 - 22*t - 19. Let o be x(-6). Suppose -2*k = -j - 3*k + 7, 0 = o*j - 2*k. Find a, given that 0 - 2/3*a + 5/6*a**j - 1/6*a**3 = 0.
0, 1, 4
Factor -5/7*y**3 + 0 - y**2 - 1/7*y**4 - 3/7*y.
-y*(y + 1)**2*(y + 3)/7
Let g(k) be the second derivative of k**6/150 + 17*k**5/100 + 13*k**4/10 + 32*k**3/15 - 16*k**2 - k - 375. Find i, given that g(i) = 0.
-10, -4, 1
Let t = -3430 + 113192/33. Let d(l) be the second derivative of 1/66*l**4 + l + 0 - 3/11*l**2 - t*l**3. Factor d(h).
2*(h - 3)*(h + 1)/11
Factor 43 - 15*n**3 + 97 - 228 + 246*n + 319*n**2.
-(n - 22)*(n + 1)*(15*n - 4)
Let t(p) be the second derivative of p**6/5 - 59*p**5/5 - 62*p**4 - 126*p**3 - 127*p**2 - 339*p. Factor t(n).
2*(n + 1)**3*(3*n - 127)
Let m(v) be the third derivative of -v**7/3150 + v**6/900 + 7*v**4/12 - v**3/6 - 8*v**2 + 3. Let p(t) be the second derivative of m(t). Factor p(x).
-4*x*(x - 1)/5
Let m be (96/(-6))/4 + 15. Factor -66*p**4 + m*p**4 - 180*p**2 - 70*p - 29*p**3 - 5 - 141*p**3.
-5*(p + 1)**3*(11*p + 1)
Suppose -2064 + 1830 - 176*q + 53*q - 5*q**2 + 2*q**2 = 0. What is q?
-39, -2
Suppose 12*x + 106 = 13*x. What is k in -30*k + 3*k**2 - 119 - x - 4*k**2 = 0?
-15
Let n(k) be the first derivative of -18 + 3/4*k**4 - 36*k - 9*k**3 + 30*k**2. Factor n(a).
3*(a - 6)*(a - 2)*(a - 1)
Suppose -134740*w**3 - 267191*w**2 - 272964*w - 29988*w**4 - 2744*w**5 + 6682*w**3 - 175598 + 66095 = 0. What is w?
-3, -23/14
Let f(a) = 44*a**2 + 606*a + 444. Let z be f(-13). Let -4*s**4 + 2/3*s**z + 10/3 - 7*s + 1/3*s**5 + 20/3*s**3 = 0. What is s?
-1, 1, 10
Let u be 89 + -1*15/5. What is o in u + 90 - 177 + o**2 = 0?
-1, 1
Let u be (1/(2/(-4)))/(248/(-496)). What is n in 12 + 50*n**2 - 5*n**5 - 19 + 5*n - 13*n**u + 2*n**4 - 9*n**4 - 23 = 0?
-3, -2, -1, 1
Let s(v) = 2*v**2. Let x be s(-1). Suppose -90 - 42 = -x*y. Let -y*d**3 - 63*d**3 + 4*d**5 + 16*d**4 + 145*d**3 = 0. Calculate d.
-2, 0
Find b such that -16 + 34/11*b**3 - 2/11*b**4 + 280/11*b - 156/11*b**2 = 0.
2, 11
Let q be ((-215)/70 - -3)/((-16)/14). Let d(h) be the third derivative of 0*h + q*h**4 + 0 + 1/120*h**5 + 1/6*h**3 - 5*h**2. What is r in d(r) = 0?
-2, -1
Let q be 2/(-18) - (-2668)/14616. Let l(n) be the second derivative of -q*n**4 + 0*n**3 + 0 + 0*n**2 - 1/70*n**5 + 18*n. Factor l(j).
-2*j**2*(j + 3)/7
Solve 912 - 18*a**3 + 2/3*a**4 - 632*a - 788/3*a**2 = 0 for a.
-6, 1, 38
Suppose 6 = 16*m - 14*m. Factor 6*l**m + l**4 - 3*l**4 + 4 - 10*l**2 - 6*l + 13*l**2 - 5*l**2.
-2*(l - 2)*(l - 1)**2*(l + 1)
Let y be (1/(-3))/(3/(-18)). Suppose 13 = y*l + 3*p, -3*p + 11 = 2. Determine r so that -2*r**2 + 3*r**2 + r**3 + 0*r**2 - 2*r**l = 0.
0, 1
Let c(t) be the first derivative of -t**3 + 51*t**2/2 - 1872. Let c(m) = 0. What is m?
0, 17
Suppose -13*z**4 + 10*z**4 + 574*z - 25*z**3 - 474*z + 32 + 4*z**2 = 0. What is z?
-8, -2, -1/3, 2
Let o(q) = -q**2 - 12*q - 7. Suppose 4*j - 2*j - 5*i - 27 = 0, 3*j - 2*i - 24 = 0. Let t(x) = -3*x**2 - 38*x - 21. Let y(r) = j*t(r) - 21*o(r). Factor y(v).
3*(v + 1)*(v + 7)
Let y(o) = 30*o + 159. Let z = 582 + -587. Let s be y(z). What is x in -49/4*x**4 + 63/2*x**3 - 109/4*x**2 + s*x - 1 = 0?
2/7, 1
Suppose -2/11*d**3 - 190/11*d**2 - 5250/11 + 2050/11*d = 0. What is d?
-105, 5
Let r be (-18256)/420 + 45 + (0 - 1). Determine x so that r*x**4 - 18/5*x**2 - 16/15*x**3 - 8/15 - 38/15*x = 0.
-1, -1/2, 4
Determine s so that 297*s**2 - 1/2*s**5 - 14*s**3 + 605/2*s + 0 - 9*s**4 = 0.
-11, -1, 0, 5
Let t(a) be the first derivative of 0*a**2 + 50/3*a**3 + 10/3*a**4 + 1/5*a**5 - 5 - 20*a. Let p(k) be the first derivative of t(k). Find u, given that p(u) = 0.
-5, 0
Let v(u) be the third derivative of -1/20*u**5 - 800*u**3 + 0 + 0*u + 70*u**2 - 10*u**4. Factor v(m).
-3*(m + 40)**2
Suppose 13*a - 52 - 124 = -3*a. Let u(x) be the third derivative of a*x**2 + 0 + 0*x**3 + 0*x + 1/45*x**5 - 1/18*x**4. Factor u(j).
4*j*(j - 1)/3
Factor -20*o**3 + 22*o - 4*o**2 - 72*o + 24*o**3 - 12 + 30*o.
4*(o - 3)*(o + 1)**2
Let c(u) be the first derivative of 1225*u**4/48 + 35*u**3/6 + u**2/2 + 227*u + 215. Let o(v) be the first derivative of c(v). Factor o(g).
(35*g + 2)**2/4
Suppose -57/2*h**3 - 172*h - 257/2*h**2 - 72 + 1/2*h**4 + 1/2*h**5 = 0. What is h?
-4, -1, 9
Let z = 422 - 266. Let a be 2/(-4) + z/8 + 5. What is y in -9*y**4 - a*y**3 + 2112*y**5 - 2114*y**5 - 3*y**4 - 16*y**2 = 0?
-2, 0
Let y be (3*151)/((-30)/160*-4). Let -1092*k**2 + 5*k**5 - 62*k - 2*k**5 - 84*k**4 + y*k + 666*k**3 - 35*k = 0. What is k?
0, 1, 13
Let d(m) = 29*m + 25. Let k be d(8). Find l such that k + 33*l**4 - 7*l**4 - 235*l**3 - 480*l - 5*l**5 + 27*l**4 + 2*l**4 - 77 + 485*l**2 = 0.
1, 2, 3
Let g = -41/264 - -3647/440. Let v = g - 473/60. Let 1/4*t**3 - 1/4*t + 1/4*t**2 + 0 - v*t**4 = 0. What is t?
-1, 0, 1
Let r(x) = -3*x**3 - 9*x**2 - 3*x + 9. Let j(n) = 9*n**3 + 26*n**2 + 7*n - 26. Let h(d) = -3*j(d) - 8*r(d). Let h(q) = 0. What is q?
-2, -1, 1
Suppose -42*q = -41*q - 15. Suppose 0 = -2*i + 11 - q. Let g(s) = -4*s**2 + 2*s. Let n(h) = -13*h**2 + 5*h + 1. Let p(d) = i*n(d) + 7*g(d). Factor p(c).
-2*(c - 1)**2
Let k(w) be the second derivative of 0 - 2/7*w**2 - 1/42*w**4 + 56*w - 1/7*w**3. Find v such that k(v) = 0.
-2, -1
Let v(u) = 9*u**3 - 6*u**2 + 3*u + 12. Let s be v(3). Let p = -208 + s. Determine i so that 15/4 - 55/4*i + 10*i**p + 5*i**3 = 0.
-3, 1/2
Let g(n) be the second derivative of -11*n**5/50 + 13*n**4/30 + 46*n**3/15 - 48*n**2/5 - 2*n + 341. What is z in g(z) = 0?
-2, 1, 24/11
Suppose 0 = -475*t + 489*t - 28. Let h(s) be the second derivative of -1/10*s**5 - 1/3*s**3 + 0*s**t - 1/3*s**4 - 14*s + 0. Factor h(f).
-2*f*(f + 1)**2
Let z(i) be the second derivative of i**4/66 - 164*i**3/11 - 7175*i. Suppose z(d) = 0. Calculate d.
0, 492
Suppose -216*a + 178*a = -114. Let o(z) be the first derivative of 1/5*z**5 + z**2 + 0*z**a + 4 - 1/2*z**4 - z. Suppose o(f) = 0. Calculate f.
-1, 1
Suppose -4*u + 6 = -u. Suppose -5 = -u*c - 1. Factor -11*f - 7*f + 2 + 24*f**c - 16*f**3 + 6*f.
-2*(2*f - 1)**3
Suppose 0*o = a - 2*o + 8, 4*a = -4*o + 40. Let v(q) be the second derivative of 55/3*q**3 + 5/12*q**a + 33*q + 605/2*q**2 + 0. Factor v(c).
5*(c + 11)**2
Let z be 19*15/684*14/30. Let w(k) be the second derivative of 2/3*k**2 + 11*k - z*k**3 - 1/72*k**4 + 0. Factor w(s).
-(s - 1)*(s + 8)/6
Let n(i) = -i**3 + 11*i**2 - 12*i + 2. Let r be n(10). Let v be 119/63 - 2/r. Factor 9*y**3 - 35*y**4 + 16*y**3 + 8*y**v + 15*y**5 - 13*y**2.
5*y**2*(y - 1)**2*(3*y - 1)
Let d(m) be the third derivative of 17*m**5/60 + 17*m**4/8 - 7*m**3/2 + 26*m**2 - 2. Let k(u) = 14*u**2 + 51*u - 22. Let r(j) = 4*d(j) - 5*k(j). Solve r(f) = 0.
-26, 1/2
Let k = -117 + 133. Let d = 535/4 - 437/4. Determine r so that 77/2*r**4 - k*r - 73/2*r**2 - 2 + d*r**5 - 17/2*r**3 = 0.
-1, -2/7, 1
Let s(l) = -17*l**2 - l - 11. Let t = -1 + 22. Let a(x) = 2*x**2 - x + 1. Let w(u) = t*a(u) + 3*s(u). Factor w(z).
-3*(z + 2)*(3*z + 2)
Suppose -99*b = -8053 + 8053. Determine v, given that 2/3*v**3 + 4*v + b + 14/3*v**2 = 0.
-6, -1, 0
Let p be -6 + (0 - -1 - (-25)/4). Suppose -6*u - 3*v = -5*u - 3, 2*u - 6 = -v. Solve 5/4 - p*i**2 + 1/4*i**u - 1/4*i = 0.
-1, 1, 5
Suppose -d - 8 = -2*j - 2*d, 1 = 3*j - 4*d. Factor -15*k**4 + 16*k**j - 4*k**2 - 4*k**4 - 37*k**4 + 14*k**3.
-2*k**2*(4*k - 1)*(7*k - 2)
Let o(s) = 82*s**2 + 120*s - 100. Let h(p) = 96*p**2 + 121*p - 98. Let z(d) = 6*h(d) - 7*o(d). Factor z(r).
2*(r - 56)*(r - 1)
Let m be 3/((63/14)/(15 + 0)). Suppose -6 = -m*h + 7*h. Factor 4/5 - 2/5*u**h - 2/5*u.
-2*(u - 1)*(u + 2)/5
Suppose -4*m - 19*h - 8 = -15*h, -m + 13 = -2*h. Find t such that 75/8*t**m + 21/8*t**5 + 99/8*t**4 - 135/8*t**2 + 9/2 - 12*t = 0.
-3, -2, -1, 2/7, 1
Let n be 66/(-143) - (-7087)/14820. Let d(u) be the second derivative of -1/36*u**4 + 0 + 1/6*u**2 - 12*u - 1/18*u**3 + n*u**5. Find c, given that d(c) = 0.
-1, 1
Let r = -43 - -47. Let y(b) = -b**3 + 2*b**2 + 7*b + 5. Let 