5*g**3 + 4*g.
-2*g*(g - 1)*(g + 2)
Determine u, given that 0 + 86/5*u**3 - 12/5*u - 254/5*u**2 = 0.
-2/43, 0, 3
Let l(k) be the third derivative of 0 + 0*k - 1/300*k**5 + 3/5*k**3 - 121*k**2 - 7/120*k**4. Solve l(b) = 0.
-9, 2
Let 138*o + 51*o - 4*o**2 - 1414 - 25*o + 64*o - 610 = 0. What is o?
11, 46
Suppose -10 = -9*o + 8. Factor -3*a - 901*a**2 - a + 12 + 4*a**3 + 889*a**o.
4*(a - 3)*(a - 1)*(a + 1)
Let j(g) be the third derivative of g**8/784 - g**7/49 + 3*g**6/40 + g**5/35 - g**4/2 + 2397*g**2. Determine m so that j(m) = 0.
-1, 0, 2, 7
Determine v so that -17*v + 54*v + 5*v**2 + 10*v**2 + 113*v + 74 - 10*v**3 + 51 = 0.
-5/2, -1, 5
Suppose -111*d + 602 = 158. Let p(t) be the third derivative of 1/45*t**5 + 0*t**3 + 0*t - 1/18*t**d - 2*t**2 + 0. Factor p(o).
4*o*(o - 1)/3
Let a(s) be the first derivative of -2*s**5/15 + 11*s**4/6 + 52*s**3/9 + 1464. Determine u so that a(u) = 0.
-2, 0, 13
Let p = 148 - 143. Factor -17*i + 15*i**4 + 5*i**3 + p*i**5 + 59*i - 23*i - 29*i - 15*i**2.
5*i*(i - 1)*(i + 1)**2*(i + 2)
Let -68*q**3 + 0 - 2/3*q**4 + 0*q + 0*q**2 = 0. Calculate q.
-102, 0
Find i, given that 2/15*i**3 - 6*i + 0 - 8/15*i**2 = 0.
-5, 0, 9
Let l(f) be the second derivative of -1 - 1/10*f**6 + 3*f**4 + 0*f**5 - f - 8*f**3 + 0*f**2. Factor l(s).
-3*s*(s - 2)**2*(s + 4)
Let n = 3197 + -6393/2. Let o(z) be the first derivative of -3/4*z**2 - 6 - n*z**3 + 0*z. Let o(y) = 0. Calculate y.
-1, 0
Suppose 0 = 101*m - 114*m + 117. Suppose 0 = 2*x + 3*i - 5, 2*x - i - m = 0. Factor 0 + 0*s + 0*s**3 + 2/7*s**x - 2/7*s**2.
2*s**2*(s - 1)*(s + 1)/7
Let p = -409533 + 409537. Factor 0*z**3 - 3/2*z**5 + 0*z + 0 + 0*z**p + 0*z**2.
-3*z**5/2
Let h be 57315/(-2835) + 21 - (-12)/162. Factor -5/7*p + 0 - h*p**2 - 1/7*p**3.
-p*(p + 1)*(p + 5)/7
Let p(n) be the second derivative of 4/5*n**3 - 16/75*n**6 + 8/5*n**2 - 1/3*n**4 - 1/35*n**7 + 2 - 27/50*n**5 - 73*n. Solve p(h) = 0 for h.
-2, -1, 2/3
Let f(z) be the second derivative of 0 + 1/15*z**5 + 0*z**2 - 13*z + 2/9*z**3 - 2/9*z**4. Factor f(m).
4*m*(m - 1)**2/3
Let r(n) be the third derivative of 3*n**5/20 + n**3/6 + 10*n**2. Let j be r(1). Find w, given that -j*w + 20*w**2 + 2*w - 17*w**4 - 3*w**4 + 8*w**3 = 0.
-1, 0, 2/5, 1
Let v be (-1 + 15/20)/(23/(-184)). Let 1/4*y**v + 1/2*y + 0 = 0. What is y?
-2, 0
Let b(y) be the first derivative of -24/7*y - 6/7*y**6 + 82 - 152/7*y**3 - 94/7*y**2 - 32/5*y**5 - 120/7*y**4. Suppose b(r) = 0. Calculate r.
-3, -1, -2/9
Suppose 9*b + 4124*d - 4120*d = 8, 4*b = 3*d + 37. What is o in 4/5*o**b - 8/5*o**2 + 4/5*o + 4/5 - 8/5*o**3 + 4/5*o**5 = 0?
-1, 1
Let d(f) = 34*f**3 - 77*f**2 - 1007*f - 917. Let v(o) = -15*o**3 + 39*o**2 + 504*o + 459. Let k(a) = -3*d(a) - 7*v(a). Factor k(h).
3*(h - 22)*(h + 1)*(h + 7)
Let p(z) be the third derivative of z**5/108 - 17*z**4/54 + 13*z**3/18 + z**2 - 744*z. Determine x, given that p(x) = 0.
3/5, 13
Suppose -190*u = -209*u + 57. Let k(g) be the first derivative of -21 + 1/6*g**u - 1/4*g**2 + 0*g. Factor k(n).
n*(n - 1)/2
Let p(x) be the first derivative of 5/3*x**3 + 9/16*x**4 + 24 + 1/2*x + 13/8*x**2. Let p(k) = 0. Calculate k.
-1, -2/9
Let j be 12/4 + (2 - -2) + -3. Let q be 13 - 5/4*j. Solve 4*y**3 + 0*y - 24*y**2 - 4*y**5 + 0*y + q*y**4 + 16*y**2 = 0 for y.
-1, 0, 1, 2
Let 60856*j**3 + 3168*j + 25328*j**2 + 38500*j**4 - 2843*j**5 + 5359*j**5 - 2712*j**5 = 0. What is j?
-1, -2/7, 0, 198
Let x(b) be the third derivative of b**5/270 + 407*b**4/54 + 165649*b**3/27 - 2*b**2 + 610*b. Solve x(q) = 0 for q.
-407
Let c = 4896/197 + -29544/1379. Factor -c*r - 2/7*r**2 - 40/7.
-2*(r + 2)*(r + 10)/7
Suppose -36/11*j + 2/11*j**5 + 42/11*j**2 + 0 - 10/11*j**4 + 2/11*j**3 = 0. What is j?
-2, 0, 1, 3
Suppose -100 = 44*o - 48*o. Factor 4*k**2 + k**3 + k**3 - 55*k - 39*k**2 - 7*k**3 - o.
-5*(k + 1)**2*(k + 5)
Let i(y) be the third derivative of -y**5/270 - 5*y**4/54 + 25*y**3/9 - 2*y**2 + 220. Factor i(x).
-2*(x - 5)*(x + 15)/9
Let n be 1/6 + 3/(-18). Let o be 3 + n - (-1)/6*0. Factor -8*b + 9*b + 0*b**o - b**3.
-b*(b - 1)*(b + 1)
Let w(c) = c**2 - 41*c - 23. Let b = -5 - -9. Let z(l) = 3*l + 12 - b*l - l + 22*l. Let t(x) = 4*w(x) + 9*z(x). Suppose t(a) = 0. What is a?
-2
Let a(g) = -244*g**2 - 486*g + 6. Let c be a(-2). Suppose -22/9*s + 4/9 - 4/3*s**c = 0. What is s?
-2, 1/6
Let s(g) be the first derivative of -29*g**3 + 33 - 54*g + 27/4*g**4 - 3/5*g**5 + 117/2*g**2. Solve s(t) = 0 for t.
1, 2, 3
Let s(v) be the third derivative of 0*v - 19/56*v**4 + 9/7*v**3 + 1/140*v**5 + 52*v**2 + 0. Determine w so that s(w) = 0.
1, 18
Suppose 0 = -38*a + 34*a + 16. Suppose -a*l - 33 = -15*l. Factor -549*v**4 + 5*v**2 + 551*v**4 - l*v**2 + 4*v**3.
2*v**2*(v + 1)**2
Suppose -12*l = -32*l + 80. Let v be (-1)/l*-6*56/21. Determine z so that -z**2 + 7/2*z**3 - 3/2*z**v + 0 + 0*z = 0.
0, 1/3, 2
Let q(r) be the second derivative of 10*r**7/7 - 172*r**6/15 + 177*r**5/5 - 158*r**4/3 + 40*r**3 - 16*r**2 + 5*r + 37. Find c, given that q(c) = 0.
1/3, 2/5, 1, 2
Let i(y) be the third derivative of -y**8/672 - 33*y**7/140 - 31*y**6/10 - 182*y**5/15 - y**2 - 1709*y + 1. Factor i(a).
-a**2*(a + 4)**2*(a + 91)/2
Let j be (-896)/(-1260) - 120/450. Find b such that 0*b**2 + 0 + 0*b - 2/9*b**4 - j*b**3 = 0.
-2, 0
Solve 636990 - 64*u + 5*u**4 + 184*u**2 - 636990 - 62*u**3 = 0 for u.
0, 2/5, 4, 8
Solve -91/3*p**4 + 91/3*p**2 + 0 - 4*p + 29/3*p**5 - 17/3*p**3 = 0 for p.
-1, 0, 4/29, 1, 3
Find i, given that 90 - 18*i**2 + 20*i**2 - 18*i**2 + 58*i**2 - 429*i = 0.
3/14, 10
Let m(l) = -4*l**3 - l**2 + l + 19. Let i(p) = 11*p**3 - 6*p**2 + 118*p - 312. Let g(q) = -i(q) - 3*m(q). Factor g(h).
(h - 5)*(h - 3)*(h + 17)
Let p(q) = -9 + 43*q**3 - 6*q**2 - 20*q**3 + 11*q - 22*q**3. Let j be p(4). Factor 36*d**2 + 204*d**4 + 66*d**5 - 31*d**3 + 32*d**5 + 217*d**j + 76*d**4.
2*d**2*(d + 2)*(7*d + 3)**2
Let z(k) be the third derivative of k**8/2856 + 22*k**7/1785 + 29*k**6/510 + 8*k**5/255 - 59*k**4/204 - 38*k**3/51 + 5756*k**2. What is y in z(y) = 0?
-19, -2, -1, 1
Suppose -20/3 + 6*l - 2/3*l**4 + 22/3*l**2 - 6*l**3 = 0. Calculate l.
-10, -1, 1
Let d(q) be the first derivative of 3/4*q**2 - 80 - 5/4*q - 1/12*q**3. Factor d(y).
-(y - 5)*(y - 1)/4
Let -116/3*g**2 + 0 + 39*g - 1/3*g**3 = 0. Calculate g.
-117, 0, 1
Let h(g) be the first derivative of -1/5*g**5 + 1/2*g**4 + g - g**2 - 10 + 0*g**3. Find a such that h(a) = 0.
-1, 1
Factor 105*h**4 - 5*h**3 - 101*h**4 + 2068*h**2 - 587*h**3 - 1048*h - 32*h**4 - 400*h**3.
-4*h*(h - 1)**2*(7*h + 262)
Let r(c) be the third derivative of c**6/180 + c**5/5 + 9*c**4/4 + 173*c**3/6 - 18*c**2 + 5. Let h(v) be the first derivative of r(v). Factor h(k).
2*(k + 3)*(k + 9)
Let z be 9933/(-55) + 2 + (-24)/10. Let j = 358 + z. What is p in j*p**2 + 2*p**3 - 168*p**2 + 3*p**4 - 11*p**3 - 3*p = 0?
0, 1
Let d(i) = 8*i**3 + 15*i**2 - 80*i + 54. Let h(g) = 9*g**3 + 15*g**2 - 80*g + 52. Suppose -15 - 3 = 6*w. Let r(a) = w*h(a) + 4*d(a). Factor r(p).
5*(p - 2)*(p - 1)*(p + 6)
Let y be 751/8*(-6)/3. Let w = -2245/12 - y. Factor -8/3*f + 2/3*f**2 - w + 8/3*f**3.
2*(f - 1)*(f + 1)*(4*f + 1)/3
Let v(h) = h**3 - 234*h**2 + 4266*h + 2999. Let g be v(214). Factor 3/2*a**4 - 3/2*a - 9/2*a**g + 0 + 9/2*a**2.
3*a*(a - 1)**3/2
Let m = -467276 - -467341. Factor -65/4*x**2 + 5*x - 5/4*x**3 + m.
-5*(x - 2)*(x + 2)*(x + 13)/4
Let w be 14/1224*533264/2744. Let s = w + -1/1666. Factor 10/9*q**4 + 10/9*q + s*q**3 + 2/9*q**5 + 2/9 + 20/9*q**2.
2*(q + 1)**5/9
Let l(i) be the first derivative of 1/2*i**4 - 11 + 0*i + 2/15*i**3 - i**2 - 2/25*i**5. Factor l(u).
-2*u*(u - 5)*(u - 1)*(u + 1)/5
Let v(o) = o**2 - 10*o - 2. Let s(k) = -20*k - 5. Let b be (-1)/(-5*8/80). Let c(r) = b*s(r) - 5*v(r). Suppose c(l) = 0. What is l?
0, 2
Let n(x) be the second derivative of 297*x**5/4 - 703*x**4/4 + 106*x**3 - 6*x**2 - 647*x. Factor n(h).
3*(h - 1)*(5*h - 2)*(99*h - 2)
Let i be (-409)/((-8)/((-53824)/(-72))) - -6. Let s = 38271 - i. Find z such that 364/9*z**3 - 188/3*z**2 - 49/9*z**4 - s*z - 64/9 = 0.
-2/7, 4
Let p(y) be the first derivative of y**4/4 - 213*y**3/5 + 10176*y**2/5 + 4096*y/5 - 2178. Factor p(d).
(d - 64)**2*(5*d + 1)/5
Suppose 0 = 117*i - 122*i + 20. Factor 4 + 65*s**2 - 3*s + i*s + 34*s - 4.
5*s*(13*s + 7)
Let w(f) = 17*f - 45. Let u be w(3). Suppose u*c + 5*a - 2 = 3*c, 5*c + 5*a - 20 = 0. What