 + 0 + 8/15*q**4 + 2/5*q**3 + 2/15*q - 8/15*q**2 = 0. Calculate q.
-1, 0, 1/2, 1
Let a(k) be the first derivative of -3/4*k**4 - 2*k**2 + 9*k - 15 - 1/10*k**5 + 1/10*k**6 + 2*k**3. Let c(l) be the first derivative of a(l). Factor c(f).
(f - 1)**2*(f + 2)*(3*f - 2)
Let c(h) = -2*h**3 + 118*h**2 + 168*h - 9912. Let z be c(59). Let k = 1038/7 + -148. Factor -2/7*n + k*n**4 - 6/7*n**3 + 6/7*n**2 + z.
2*n*(n - 1)**3/7
Let 3*g**2 - 2770 + 1457 + 1448 - 3*g - 36*g - 3*g = 0. What is g?
5, 9
Factor -1/2*c**3 + 33 - 5/2*c - 6*c**2.
-(c - 2)*(c + 3)*(c + 11)/2
Let m(l) be the third derivative of l**5/480 + 85*l**4/64 + 4984*l**2. Factor m(w).
w*(w + 255)/8
Let d(a) be the second derivative of -a**6/6 + a**5/4 + 140*a**4/3 - 550*a**3/3 - 13881*a. Factor d(f).
-5*f*(f - 10)*(f - 2)*(f + 11)
Let d(b) be the first derivative of b**2/2 + b + 96. Let g(z) = 4*z**3 + 4*z**2 - 6*z - 6. Let l = 0 - 6. Let f(u) = l*d(u) - g(u). Factor f(a).
-4*a**2*(a + 1)
Suppose -4*f + 1065 = 4*m + 993, -11*f + 70 = 3*m. Suppose 17/6*b - f + 5/6*b**2 = 0. Calculate b.
-4, 3/5
Let a(d) = d**2 + 18*d - 5. Let v be a(-18). Let m(b) = 3*b**3 + 29*b - 37. Let z(p) = 2*p**3 + 28*p - 36. Let w(x) = v*z(x) + 4*m(x). Factor w(c).
2*(c - 2)**2*(c + 4)
Let n(m) be the second derivative of 587*m**4/18 + 589*m**3/9 + 2*m**2/3 - 2855*m. Factor n(w).
2*(w + 1)*(587*w + 2)/3
Let b(t) = -12*t - 2. Let s(w) = -w**2 - 1008*w - 207952. Let g(j) = -8*b(j) + s(j). Determine k, given that g(k) = 0.
-456
Let g(y) be the second derivative of -y**8/420 + y**6/90 - y**3/2 + 2*y**2 - y + 20. Let w(m) be the second derivative of g(m). Factor w(i).
-4*i**2*(i - 1)*(i + 1)
Let c(l) = -11*l**2 - 47*l - 41. Suppose 0 = -8*v + 27 + 13. Suppose 4*k + 3 + v = 0. Let m(y) = -5*y**2 - 23*y - 20. Let a(q) = k*c(q) + 5*m(q). Factor a(r).
-3*(r + 1)*(r + 6)
Suppose -5*k - 3*k + 112 = 0. Let 8*u**2 - 21*u - u**3 + 26*u - 10*u - k = 0. Calculate u.
-1, 2, 7
Let o(u) be the second derivative of u**5/30 - u**4/9 - u**3/3 - 7*u + 23. Factor o(w).
2*w*(w - 3)*(w + 1)/3
Let r be (348/(-261)*(-1)/16)/(11/(-616)*-14). Factor -17 - 50/3*o + r*o**2.
(o - 51)*(o + 1)/3
Let a(m) = -25*m**4 + 129*m**3 - 138*m**2 - 346*m + 468. Let v(w) = -50*w**4 + 259*w**3 - 273*w**2 - 691*w + 938. Let z(j) = 11*a(j) - 6*v(j). Solve z(u) = 0.
-8/5, 2, 3
Let a(g) be the first derivative of -2*g**3/3 - 53*g**2 + 1558. Solve a(l) = 0 for l.
-53, 0
Suppose -237 = 4*q - 2*z - 249, 12*q - z = 26. Find x, given that -1 - 3/2*x**q - 9/4*x - 1/4*x**3 = 0.
-4, -1
Let j = 1105/1344 - -5/448. Let w(z) be the first derivative of 0*z + 7 + 5/4*z**4 - 3*z**5 + 5*z**3 + j*z**6 - 5*z**2. Let w(g) = 0. What is g?
-1, 0, 1, 2
Let p(k) = 6*k**2 + 12*k + 26. Let d be p(-2). Let -39*i + 15 + d - 5*i**2 + 154*i - 95 - 156 = 0. What is i?
2, 21
Suppose 5*a - t - 3 - 4 = 0, 5*t - 5 = 5*a. Factor 4*c**a + 3502 - 3454 - 2*c**2 + 20*c.
2*(c + 4)*(c + 6)
Let s(o) = 13*o**2 - 57*o + 56. Let k be s(3). Find p such that -174/5*p**3 + 92/5*p**k - 2/5*p**4 + 4*p**5 + 48/5 + 184/5*p = 0.
-3, -1/2, -2/5, 2
Let m = 14/255 + 52/85. Let p(j) be the second derivative of 12*j**2 + 0 - m*j**4 + 1/5*j**5 - 10/3*j**3 - 27*j. Let p(w) = 0. What is w?
-2, 1, 3
Let m(z) = z**2 + 20*z + 86. Let v be m(-6). Factor -66 - 63*k - 12*k**2 + k**2 + 9*k**v + 5*k**2.
3*(k - 22)*(k + 1)
Let z(c) be the first derivative of -9/2*c**2 - 2*c**3 + 6*c - 69 + 9/4*c**4. Let z(k) = 0. Calculate k.
-1, 2/3, 1
Let m(h) be the first derivative of -7*h**5/20 - 9*h**4/16 + 13*h**3/6 + 9*h**2/2 + 2*h + 947. Suppose m(g) = 0. What is g?
-2, -1, -2/7, 2
Factor 12 - 29*g**3 + 24*g**2 - 2*g**4 - 9 - 3 - 2*g**4.
-g**2*(g + 8)*(4*g - 3)
Let u(m) be the third derivative of -m**5/160 - 5*m**4/8 - 19*m**3/4 - 1474*m**2. Find b, given that u(b) = 0.
-38, -2
Let p(a) be the third derivative of 23/96*a**4 + 1/96*a**6 + 0 - 1/840*a**7 + 7/80*a**5 + 2*a**2 + 1/3*a**3 - 51*a. Solve p(r) = 0 for r.
-1, 8
Suppose 98/9*d**4 + 52/3*d + 14/9*d**2 + 0 - 262/9*d**3 - 2/3*d**5 = 0. Calculate d.
-2/3, 0, 1, 3, 13
Let 56/5*j**3 - 128/5*j**2 - 4/5*j**5 - 52/5*j + 8*j**4 + 88/5 = 0. Calculate j.
-2, -1, 1, 11
Suppose 4*m = -5*f - 17, 2*m + 2*f + 3 = -3. Suppose 10 = 2*v - 2*g, -3*g = m*g + 15. Factor -6*c**v + 6*c**2 + 19*c - 7*c - 4*c**2.
-4*c*(c - 3)
Find j, given that 76/3*j**3 + 0 - 26*j**4 + 2/3*j**5 + 0*j**2 + 0*j = 0.
0, 1, 38
Let g(d) = -2*d**3 + 38*d - 19. Let x be g(4). Factor 2/9*y - 2/9*y**x + 0 - 4/9*y**4 + 4/9*y**2 + 0*y**3.
-2*y*(y - 1)*(y + 1)**3/9
Let c be (-372)/93 + (-63)/(-14) + 3/(-48)*-4. Let x = -6 + 8. Factor 1/4*r**x - 1 + c*r.
(r - 1)*(r + 4)/4
Factor -115*h + 1958 - 5*h**2 - 95 + 237.
-5*(h - 12)*(h + 35)
Suppose -26*t + 65151311*t**2 - 246 + 155*t - 65151314*t**2 = 0. Calculate t.
2, 41
Suppose 5*k + 3*n - 90 = 21, -84 = -3*k + 4*n. What is q in 48*q**2 - 102*q - k*q**2 - 25*q**2 - 2601 = 0?
-51
Let s(x) be the third derivative of 2*x**2 + 0*x**3 - 1/6*x**4 + 0*x + 0 + 1/60*x**5. Let s(g) = 0. Calculate g.
0, 4
Suppose 3*o = -179 + 185. Suppose -2*l - t = -2, -23*t = o*l - 18*t - 10. Solve 0 - 1/5*f**3 - 3/5*f**2 + l*f = 0 for f.
-3, 0
Suppose 2 = y + 2*m, 3*y = -2*y + m - 23. Let w be ((-4)/(-7))/(y/(-14)). Factor 2*t**2 - 2*t**2 + 3*t**w + 3*t.
3*t*(t + 1)
Determine i, given that 4/5*i**4 + 4/5*i**3 + 0*i**2 + 0*i + 0 = 0.
-1, 0
Determine r so that -20 - 71*r - 87*r + 178*r + 5*r**2 - 5*r**3 = 0.
-2, 1, 2
Let t(x) be the first derivative of -5*x**6/6 - 4*x**5 + 75*x**4/4 + 70*x**3/3 - 70*x**2 - 120*x + 1282. Determine v so that t(v) = 0.
-6, -1, 2
Factor 10/3*m**2 + 8*m + 0 + 1/3*m**3.
m*(m + 4)*(m + 6)/3
Let q(r) = -6*r - 18. Let p(t) = t**2 - 10*t - 39. Let i(l) = l**3 - 17*l**2 + 63*l - 31. Let a be i(12). Let h(w) = a*q(w) - 2*p(w). Factor h(g).
-2*(g + 2)*(g + 3)
Let 0*l - 1/5*l**4 - 3/5*l**3 + 0 + 4/5*l**2 = 0. What is l?
-4, 0, 1
Suppose 4*u = 2*j - 78, -u + 45 = -3*u - 5*j. Let v be u/(-6) - (-2)/(-6). Find q, given that 3 + 12*q**2 + 4*q**v - 4 + 1 = 0.
-3, 0
Let z(b) be the third derivative of b**5/15 - 5*b**4/3 + 14*b**3 - 20*b**2 - 2. Factor z(n).
4*(n - 7)*(n - 3)
Let q(f) be the third derivative of -f**6/24 - f**5/3 + 185*f**4/24 + 100*f**3/3 - f**2 - 85*f. Factor q(n).
-5*(n - 5)*(n + 1)*(n + 8)
Let s = -204547 + 1227283/6. Let r(h) = h**2 - 8*h + 9. Let b be r(7). Factor -s - 1/2*z**3 - 1/6*z + 5/6*z**b.
-(z - 1)**2*(3*z + 1)/6
Let p(o) = -17*o**3 - 188*o**2 + 697*o - 510. Let x(m) = 180*m**3 + 2068*m**2 - 7668*m + 5612. Let h(b) = -32*p(b) - 3*x(b). Factor h(c).
4*(c - 43)*(c - 3)*(c - 1)
Suppose -4*i = -92*c + 94*c + 36, -25 = -5*i. Let x be (2/c)/((-18)/63 - 0). Let 9/4*l**2 + 4 + x*l**3 + 6*l = 0. What is l?
-4, -1
Let k(j) be the third derivative of j**7/5 + 131*j**6/120 + 13*j**5/60 - j**4/4 + 13*j**2 - 8*j. Let k(l) = 0. What is l?
-3, -2/7, 0, 1/6
Solve 28506*j**3 - 91572*j**3 - 3*j**5 - 128772*j**2 - 26581*j - 16335*j - 442*j - 21469*j + 876*j**4 = 0.
-1, 0, 147
Let g(t) = 3*t**3 - 21*t**2 + 107*t - 109. Let p(k) = -2*k**3 + 20*k**2 - 110*k + 108. Let m(z) = 4*g(z) + 5*p(z). Let m(u) = 0. What is u?
-13, 1, 4
Let n(b) be the third derivative of b**8/3696 - b**7/462 + b**6/264 + b**5/132 - b**4/44 + 4*b**2 - 143. Suppose n(q) = 0. What is q?
-1, 0, 1, 2, 3
Let j(o) be the third derivative of o**6/540 - 37*o**5/90 + 28*o**4 + 3136*o**3/27 - 6583*o**2. Suppose j(s) = 0. What is s?
-1, 56
Suppose 173*r - 352*r = -125*r. Factor 0 + 4*h**5 + r*h**2 + 0*h - 44/5*h**4 + 8/5*h**3.
4*h**3*(h - 2)*(5*h - 1)/5
Let j(b) = 615*b**2 + 619*b - 8. Let a(d) = -1845*d**2 - 1864*d + 23. Let n(w) = -2*a(w) - 7*j(w). Factor n(z).
-5*(z + 1)*(123*z - 2)
Let l(s) = -61*s**3 + 105*s**2 + 358*s + 192. Let a(z) = 42*z**3 - 70*z**2 - 240*z - 128. Let j(q) = 16*a(q) + 11*l(q). Factor j(v).
(v + 1)*(v + 2)*(v + 32)
Factor 90 + 3*j**3 + 96*j - 83*j - 25*j + 430 - 11*j**3 - 108*j**2.
-4*(j - 2)*(j + 13)*(2*j + 5)
Let i(v) = -5488*v**3 - 13134*v**2 - 4454*v - 36. Let j(o) = -3*o**3 + 4*o**2 - o - 2. Let h(p) = -2*i(p) + 12*j(p). Determine a, given that h(a) = 0.
-2, -2/5, -3/547
Suppose 2*l - 1 = 3. Let o = 308626/5 - 61724. What is d in -3/5*d**3 - o + 0*d**l + 9/5*d = 0?
-2, 1
Let b(z) be the second derivative of 1/12*z**5 - 9/2*z**2 + 15/2*z**3 - 5/4*z**4 - 6*z + 0. Let j(t) be the first derivative of b(t). Factor