15*a**4 + 2/15 - 4/15*a + j*a**3 + 0*a**2.
-2*(a - 1)**3*(a + 1)/15
Let o = -21 - 28. Let p = 51 + o. Find c such that 264 + 6*c**p - 264 + 3*c**3 = 0.
-2, 0
Let g(b) be the second derivative of -b**7/49 - 26*b**6/105 - 8*b**5/35 + 2003*b. Factor g(p).
-2*p**3*(p + 8)*(3*p + 2)/7
Determine t, given that 429/2 - 25*t + 1/2*t**2 = 0.
11, 39
Let h be 11/(-44) - (2 - (-34)/(-8)). Let v(q) be the second derivative of -8*q - 1/4*q**4 - q**h + 0 - 3/4*q**3 - 1/40*q**5. Factor v(j).
-(j + 1)**2*(j + 4)/2
Let i(y) be the third derivative of y**8/120 + 44*y**7/525 - 6*y**6/25 - 257*y**5/75 + 77*y**4/12 + 10*y**3 - y**2 + 257*y. Solve i(u) = 0.
-5, -2/7, 1, 3
Let s(d) = -d**2 + 158*d - 498. Let k(a) = 30*a + 1. Let y(f) = -22*k(f) - 2*s(f). Factor y(v).
2*(v - 487)*(v - 1)
Let l(h) be the first derivative of 59 + 20/3*h + 46/9*h**2 + 4/3*h**3 + 1/9*h**4. Factor l(g).
4*(g + 1)*(g + 3)*(g + 5)/9
Suppose 5*g + 4*x - 8 = 2*x, -12 = -4*g - 3*x. Let n(m) be the third derivative of -1/60*m**4 + 1/300*m**6 - 3*m**2 + 0*m**5 + g + 0*m + 0*m**3. Factor n(o).
2*o*(o - 1)*(o + 1)/5
Let d(j) = -2*j - 54. Let k be d(-28). Factor 9*z**k + z**3 + 8*z**2 - 15*z**2.
z**2*(z + 2)
Let a = -29345 - -29345. Let w = 1974/2455 - 2/491. Let -w*r**2 + 4/5 + a*r = 0. What is r?
-1, 1
Solve -790*b - 648*b**2 - 1509 - 649*b**2 - 718*b + 1951*b**2 - 653*b**2 = 0 for b.
-1, 1509
Let l = -396310 + 792621/2. Factor l*p**4 - 5/2*p**2 + 3/2*p + 1/2*p**3 + 0.
p*(p - 1)**2*(p + 3)/2
Determine p so that -15/2 + 71/4*p - 29/2*p**2 + 19/4*p**3 - 1/2*p**4 = 0.
1, 3/2, 2, 5
Let i(a) be the third derivative of -a**6/180 - 58*a**5/45 - 451*a**4/36 - 112*a**3/3 + 10467*a**2. Factor i(m).
-2*(m + 1)*(m + 3)*(m + 112)/3
Let b(g) be the first derivative of -g**6/9 - 16*g**5/15 + 29*g**4/2 + 116*g**3 - 756*g**2 - 3888*g + 576. Find z, given that b(z) = 0.
-9, -2, 6
Solve -32/3*l + 0 - 182/9*l**4 - 643/9*l**3 - l**5 - 566/9*l**2 = 0.
-16, -3, -1, -2/9, 0
Let b(p) = -37*p**2 - 8092*p - 16224784. Let r(y) = 6*y**2 + 6*y. Let m(g) = -b(g) - 6*r(g). Factor m(u).
(u + 4028)**2
Let i(u) be the third derivative of -55296*u**6/5 - 2304*u**5/5 - 8*u**4 - 2*u**3/27 - u**2 + 201*u. Factor i(o).
-4*(144*o + 1)**3/9
Let v(f) be the third derivative of -49/100*f**5 - 144 + f**2 + 2/175*f**7 - 3/2*f**3 + 73/40*f**4 + 0*f - 13/200*f**6. Find i, given that v(i) = 0.
-3, 1/4, 1, 5
Let y(t) be the second derivative of 29/27*t**4 - 17/15*t**5 + 3 + 0*t**2 - 22/189*t**7 - 4/9*t**3 - 21*t + 26/45*t**6. Determine u, given that y(u) = 0.
0, 6/11, 1
Solve -15/4*h**3 - 1/4*h**4 - 17/4*h + 0 + 33/4*h**2 = 0.
-17, 0, 1
Let v(p) = p**5 - p**4 + p**3 - 4*p**2. Let m(t) = 7*t**5 + 165*t**4 + 455*t**3 - 636*t**2. Let d(u) = m(u) - 3*v(u). Solve d(l) = 0 for l.
-39, -4, 0, 1
Suppose -8*o - d = -6*d - 67, -4*o - d = -9. Let r = 6 + -6. What is l in -3/2*l + r - 3/8*l**o - 3/4*l**3 + 21/8*l**2 = 0?
-4, 0, 1
Let b(k) be the third derivative of k**5/30 + 85*k**4/12 - 748*k**2. Find c such that b(c) = 0.
-85, 0
Let v(m) = 24*m**4 - 110*m**3 + 8*m**2 + 160*m - 45. Let o(y) = 12*y**4 - 56*y**3 + 4*y**2 + 80*y - 20. Let b(q) = -9*o(q) + 4*v(q). Factor b(h).
-4*h*(h - 5)*(h + 1)*(3*h - 4)
What is u in 1438507*u**2 + 189729*u**2 + 20866405*u**3 + 60375*u + 373352*u**2 - 57513*u**2 + 625 = 0?
-5/161
Suppose 4*z = -3*h - 102 + 474, -h - 3*z + 129 = 0. Let r = 12 - -104. Factor 30*d + r*d**3 - 80 - 4*d**2 - h*d**3 + 34*d.
-4*(d - 2)**2*(d + 5)
Let k(d) be the first derivative of -3*d**4/4 - 11*d**3 - 15*d**2 + 216*d - 1169. Factor k(s).
-3*(s - 2)*(s + 4)*(s + 9)
Find f such that 8/3*f**2 + 4/9*f**4 + 0*f + 0 + 28/9*f**3 = 0.
-6, -1, 0
Solve 8/15 - 16/15*j + 14/15*j**4 - 14/5*j**2 - 4/15*j**3 = 0 for j.
-1, 2/7, 2
Let r be 12/(-504)*1*4*-1. Let l(x) be the second derivative of 0*x**2 - 1/140*x**5 - 5*x + 1/21*x**4 - r*x**3 + 0. Factor l(o).
-o*(o - 2)**2/7
Let k(n) be the third derivative of n**7/525 + 9*n**6/50 + 29*n**5/6 - 18*n**4/5 - 972*n**3/5 - 717*n**2. Find z such that k(z) = 0.
-27, -2, 2
Let x(h) be the third derivative of -h**5/90 + h**4/18 + h**3/3 + 498*h**2. Determine q, given that x(q) = 0.
-1, 3
Suppose m - 3 = -4*k, -15 = 2*k + 2*k - 5*m. Let n(u) be the first derivative of k*u + 3/7*u**4 + 6/7*u**2 + 14 - 10/7*u**3. Factor n(b).
6*b*(b - 2)*(2*b - 1)/7
Let d(p) be the first derivative of -7*p**6/24 + p**5/2 + 35*p**4/24 - 5*p**3 + p**2/2 - 4*p - 25. Let a(o) be the second derivative of d(o). Factor a(w).
-5*(w - 1)*(w + 1)*(7*w - 6)
Let s = -69 + 72. Let -11*g**2 - s*g**3 + 3*g**2 - 21*g - g**2 + 15*g = 0. Calculate g.
-2, -1, 0
Let y(m) = 3*m**3 - 7*m**2 - 5*m + 19. Let d be y(10). Factor -1781 - 180*s - 4*s**2 + 2*s**2 - d.
-2*(s + 45)**2
Solve -60*x - 90*x + 9*x**2 + 11*x**2 + 148*x - 18 = 0.
-9/10, 1
Let j(d) be the second derivative of -d**6/180 + 3*d**5/5 - 27*d**4 + d**3 + 5*d**2/2 - d + 189. Let p(u) be the second derivative of j(u). Factor p(x).
-2*(x - 18)**2
Solve -2500 - 3*c**4 + 500*c - 77*c**3 + 725*c**2 - 68*c**3 + 5*c**5 - 4*c**5 + 4*c**5 - 22*c**4 = 0 for c.
-5, -2, 2, 5
Suppose -3*t + 16 = 2*a, -2*a - 1 = -4*t - 3. Factor -5*n + t*n**2 + 28*n - 19*n - 20*n + 14.
2*(n - 7)*(n - 1)
Let g(k) be the first derivative of -k**6/39 - 378*k**5/65 - 736*k**4/13 - 8752*k**3/39 - 5808*k**2/13 - 5792*k/13 + 2974. Factor g(x).
-2*(x + 2)**4*(x + 181)/13
Let s(k) be the first derivative of 28*k**2 + 0*k - k**4 - 22 + 52/3*k**3. Factor s(n).
-4*n*(n - 14)*(n + 1)
Let y(p) be the third derivative of -7/8*p**4 - 12*p + 7/40*p**6 + 0 - 2/105*p**7 - 5*p**2 + 5/6*p**3 - 1/60*p**5. Let y(x) = 0. Calculate x.
-1, 1/4, 1, 5
Let h(j) = j**3 + 24*j**2 + 127*j - 8. Let p be h(-9). Let b be (p/84)/((-45)/(-210)). Let -34/9*z**4 + 0 + 0*z - 8/9*z**2 - b*z**3 - 10/9*z**5 = 0. What is z?
-2, -1, -2/5, 0
Suppose 275*m - 643*m + 2534 = 899*m. Factor -2/5*r**m - 2/5*r**3 - 8 + 32/5*r.
-2*(r - 2)**2*(r + 5)/5
Suppose 4*d = 5*g + 14, 2*g - 22 = -1328*d + 1325*d. Find j such that -2/15*j**g + 8/15*j + 8/5 = 0.
-2, 6
Suppose -86/13*q - 2/13*q**2 + 276/13 = 0. What is q?
-46, 3
Let p(x) be the first derivative of 9/4*x - 5/4*x**2 + 1/12*x**3 - 40. Factor p(z).
(z - 9)*(z - 1)/4
Let n(r) be the third derivative of r**6/480 - r**5/24 + 31*r**4/96 - 5*r**3/4 + 358*r**2. Factor n(h).
(h - 5)*(h - 3)*(h - 2)/4
Factor 43879*f**5 - 43877*f**5 - 492*f**4 - 1256*f**4 + 1746*f**3.
2*f**3*(f - 873)*(f - 1)
Let 1463 - 1517 - 13*m**2 + 30*m + 35*m**2 + 2*m**3 = 0. Calculate m.
-9, -3, 1
Let n = 30 - 28. Factor -3 + 5*s**2 - 6*s**2 + 7 - 3*s**n.
-4*(s - 1)*(s + 1)
Let n(f) = -6*f**2 - 133*f - 249. Let b(l) = l**2 + 22*l + 43. Let u(m) = -38*b(m) - 6*n(m). Let u(h) = 0. Calculate h.
-14, -5
Let g = -430431/7 - -61491. Let -3/7*h + 3/7*h**2 - g = 0. What is h?
-1, 2
Suppose 5*r = 3*o - 46, 3*o = -r - r + 32. Suppose c + 2*c = o. Solve -c - 18*q**3 + 14*q**4 - q**2 + 80*q - 9*q**2 - 62*q = 0.
-1, 2/7, 1
Let n be (-31)/62 + (-50)/(-4). Determine m so that -20*m - 10*m**3 + 4*m**2 + 8*m**3 + n + 5*m**3 + m**3 = 0.
-3, 1
Let a be (3/9)/((-15)/(-180)). Let h(x) be the first derivative of 4/5*x + 3/5*x**a - 27/10*x**2 + 41/15*x**3 + 7. Determine s so that h(s) = 0.
-4, 1/4, 1/3
Let t(o) be the third derivative of o**8/4200 + 2*o**7/525 + o**6/75 - 19*o**3/3 - 82*o**2. Let a(v) be the first derivative of t(v). What is r in a(r) = 0?
-6, -2, 0
Let m be 18/6 - (1 - 92). Suppose 5*u - c - 150 = 0, -4*u = -c - m - 27. Determine p so that 15*p**4 + 10*p**4 + 16*p**3 + 0*p**2 - 16*p + 4*p**2 - u*p**4 = 0.
-1, 0, 1, 4
Let m = 6 - 4. Let q be 1/(5/(-15))*17/(-255). Factor 3/5*p**3 + 4/5*p**4 - 4/5*p**m + 0 + q*p**5 - 4/5*p.
p*(p - 1)*(p + 1)*(p + 2)**2/5
Let l(t) be the third derivative of t**6/120 + t**5/2 - 1263*t**2 - 2*t. Let l(y) = 0. Calculate y.
-30, 0
Let b(g) = -4*g**3 + 2*g**2 - 8*g - 8. Suppose 0*p = p + 2*r + 7, -6 = 2*p - 4*r. Let o(w) = 3*w**3 - 2*w**2 + 7*w + 7. Let n(l) = p*b(l) - 6*o(l). Factor n(i).
2*(i - 1)*(i + 1)**2
Let f = 577 - 575. Determine y so that -50*y**2 + 24*y**4 - 48*y + 12*y**3 + 26 - 26 - 4*y**5 - 14*y**f = 0.
-1, 0, 2, 6
Let f(q) be the second derivative of q**7/14 - 7*q**6/10 + 9*q**5/4 - 9*q**4/4 - 32*q - 23. Factor f(r).
3*r**2*(r - 3)**2*(r - 1)
Solve 0 + 2/7*d**4 - 6718/7*d**2 - 480*d - 3356/7*d**3 = 0.
-1, 0, 1680
Factor 2*v - 348*v**