Let t(a) be the third derivative of 19/6*a**4 + 0*a - 3*a**2 + 1/5*a**5 - 28/3*a**3 + 4. Factor t(n).
4*(n + 7)*(3*n - 2)
Suppose -16*m - 13 = -33 - 28. Let d(q) be the second derivative of 0 - m*q**2 - 17*q - 1/6*q**4 + 4/3*q**3. Suppose d(i) = 0. Calculate i.
1, 3
Factor -36*i + 19/4*i**2 + 1/2*i**3 - 1377/4.
(i + 9)**2*(2*i - 17)/4
Let o(q) be the first derivative of -q**4/20 + 2*q**3/15 + 31. Factor o(z).
-z**2*(z - 2)/5
Let q(j) = -29*j - 199. Let f be q(-7). Let p(b) be the first derivative of 0*b + 4*b**2 - 4/3*b**3 + 4/5*b**5 - 2*b**f + 5. Factor p(h).
4*h*(h - 2)*(h - 1)*(h + 1)
Let c(x) be the third derivative of -1/140*x**6 + 325*x**2 + 0*x + 13/14*x**3 + 1/4*x**4 - 5/28*x**5 + 0. Determine q so that c(q) = 0.
-13, -1/2, 1
Suppose 3*i - 2*i - 2 = 0. Suppose 0 = -3*x - x - 2*y + 8, i*x = -3*y + 4. Suppose 5*p**x + 2695 - 2695 - 5*p = 0. What is p?
0, 1
Let w(j) = -455*j - 104646. Let t be w(-230). Factor 0 - 12/13*o**3 + 18/13*o**2 + 2/13*o**t + 0*o.
2*o**2*(o - 3)**2/13
Let j(n) be the third derivative of 5*n**2 + 1/600*n**6 + 0*n - 1/75*n**5 + 1/5*n**3 + 1/120*n**4 + 12. Factor j(o).
(o - 3)*(o - 2)*(o + 1)/5
Find z such that -1712*z + 4/3*z**4 + 3232/3*z**2 - 220*z**3 + 2560/3 = 0.
1, 2, 160
Suppose -4*c = -3*c. Suppose c = 3*z + z - 12. Suppose 0*r**2 - 4*r**3 + r**3 + 2*r + 5*r**z - 4*r**2 = 0. What is r?
0, 1
Let c be 75 + -21 + 8236/(-174). Let -c*q**2 + 2/3*q**3 + 56/3 + 34/3*q = 0. What is q?
-1, 4, 7
Let i be (8/(-42))/((-873)/18333). Let w(c) be the second derivative of -2*c**3 - 1/3*c**i - 4*c**2 + 0 + 17*c. Find b, given that w(b) = 0.
-2, -1
Let s(i) = -2*i**2 + 6*i. Let c(b) = -4*b**3 - 54*b**2 + 354*b - 468. Let o(l) = -c(l) + 13*s(l). Factor o(y).
4*(y - 3)**2*(y + 13)
Let m(l) be the third derivative of l**8/1512 + l**7/105 + l**6/90 - 8*l**5/135 - 1258*l**2. Solve m(g) = 0.
-8, -2, 0, 1
Let h(a) = 32*a**3 + 260*a**2 + 845*a + 740. Let k(o) = -34*o**3 - 262*o**2 - 844*o - 738. Let m(b) = -6*h(b) - 5*k(b). Determine d so that m(d) = 0.
-5, -15/11
Let s(k) = -40*k**2 - k**3 + 13*k**2 - 12*k + 19 - 32*k + 9*k**2. Let o be s(-15). Suppose -2/5 - 9/5*w**2 + 7/5*w - 1/5*w**o + w**3 = 0. Calculate w.
1, 2
Suppose 35*g + k - 5 = 31*g, 4*k - 20 = 0. Let u(b) be the second derivative of g - 4/5*b**2 + 1/15*b**4 + 2/15*b**3 - 17*b. Factor u(a).
4*(a - 1)*(a + 2)/5
Let b = 4317 + -17267/4. Let n(p) be the second derivative of 7*p + 0 + 0*p**3 - b*p**4 + 6*p**2. Let n(y) = 0. What is y?
-2, 2
Let s = 45 + -25. Let w be (8/s)/(1/5). Factor -4*l**2 - 3*l**5 - l**5 - 4*l**3 + 2*l**3 + l + w*l**4 + 2 + 5*l**5.
(l - 1)**2*(l + 1)**2*(l + 2)
Let b(x) be the second derivative of -x**4/84 + 2267*x**3/42 + 162*x**2 - 10901*x. Factor b(j).
-(j - 2268)*(j + 1)/7
Let d(c) be the first derivative of c**5/20 + 5*c**4/42 - 11*c**3/42 - 3*c**2/7 - 117*c + 71. Let b(a) be the first derivative of d(a). Factor b(k).
(k - 1)*(k + 2)*(7*k + 3)/7
Let r be 84/39 + -2 + 206000/(-1872). Let q = -109 - r. Find d, given that q*d**3 + 8/9*d**2 + 2/9*d + 0 = 0.
-1/2, 0
Let j = 1599/53 - 7942/265. Let 0 + 2/5*t - 1/5*t**4 - 2/5*t**3 + j*t**2 = 0. What is t?
-2, -1, 0, 1
Let n be 2 + (-11)/7 + (-30498)/(-182). Suppose 167*a + n*a - a**4 - 335*a - a**3 = 0. Calculate a.
-1, 0
What is u in -184/3*u**2 + 64*u + 4/3*u**4 - 4*u**3 + 0 = 0?
-6, 0, 1, 8
Let d be (-1*(-1)/300)/(14385/2740). Let j(a) be the third derivative of -1/150*a**6 + 0*a - 1/50*a**5 + 0 + 2*a**2 + 0*a**4 - d*a**7 + 0*a**3. Factor j(r).
-2*r**2*(r + 3)**2/15
Find q, given that 641 - 2245*q**3 - 2881 + 5*q**4 + 1428*q**2 + 638*q + 807*q**2 + 1607*q = 0.
-1, 1, 448
Suppose 36 = -3*y + 33. Let v(g) = -g**3 + g**2 + 1. Let o(a) = -4*a**3 - 7*a**2 - 5. Let h(p) = y*o(p) - 5*v(p). Factor h(l).
l**2*(9*l + 2)
Let b be (-57)/(-24) + ((-3560)/64)/(-89). Let 26/3*m + 0 + 2/3*m**4 + 22/3*m**b - 50/3*m**2 = 0. What is m?
-13, 0, 1
Suppose 57*c = 23*c + 68. Let i(g) be the first derivative of 1/4*g**4 - 1/2*g**c + 9 + 1/10*g**5 + 0*g**3 - 1/2*g. Factor i(l).
(l - 1)*(l + 1)**3/2
Let a(f) = -123*f - 9838. Let j be a(-80). Factor -1/5*k**3 + 4/5*k + 3/5*k**j - 12/5.
-(k - 3)*(k - 2)*(k + 2)/5
Let r(a) = 8*a**5 - 7*a**4 + 18*a**3 - 22*a**2 + 8*a. Let o = -298 - -303. Let y(m) = -2*m**5 + m**4. Let u(c) = o*y(c) + r(c). Factor u(g).
-2*g*(g - 1)**3*(g + 4)
Let w(d) be the second derivative of -3 + 1/60*d**4 + 1/5*d**2 + 24*d + 1/10*d**3. Solve w(s) = 0 for s.
-2, -1
Let f = 1034 - 931. Suppose 26*a + f = 155. Factor 3 - 3/4*o**a + 0*o.
-3*(o - 2)*(o + 2)/4
Determine z so that -5*z**2 - 1/4*z**3 - 12 - 67/4*z = 0.
-16, -3, -1
Let x = 296 + -189. Factor x*z**2 - 42*z**2 - 52*z + 48 - 61*z**2.
4*(z - 12)*(z - 1)
Let s(x) be the first derivative of x**3 - 147*x**2 - 483. Suppose s(f) = 0. What is f?
0, 98
Let r = 2706 - 1733. Let h = -971 + r. Find j such that 2/7*j**h + 6/7 - 8/7*j = 0.
1, 3
Determine k so that 306*k**4 + 230/3*k - 238/3*k**3 + 8/3*k**5 - 306*k**2 + 0 = 0.
-115, -1, 0, 1/4, 1
Factor 501/11*f - 54 + 1/11*f**3 - 104/11*f**2.
(f - 99)*(f - 3)*(f - 2)/11
Let x be 260/40*245/35. Determine a, given that -27/2*a**4 - 5/2*a**3 - 42*a + x*a**2 + 10 + 5/2*a**5 = 0.
-2, 2/5, 1, 5
Factor 0 + 78*n**2 + 232/3*n + 2/3*n**3.
2*n*(n + 1)*(n + 116)/3
Let k(y) be the second derivative of -5*y**4/27 + 11*y**3/9 + 43*y**2/9 - 1304*y - 1. Factor k(f).
-2*(f + 1)*(10*f - 43)/9
Let g(a) = -10*a**2 - 150*a - 1484. Let j(f) = -61*f**2 - 897*f - 8900. Let b(l) = 37*g(l) - 6*j(l). Find x, given that b(x) = 0.
-29, -13
Let n(g) = -12*g - 276. Let k be n(-23). Let f(o) be the second derivative of 1/36*o**4 - 9*o + 1/9*o**3 - 1/60*o**5 + k*o**2 + 0. Suppose f(t) = 0. What is t?
-1, 0, 2
Let m be (-110)/(-30)*-18*(-6)/9. Suppose m*t**2 - 3*t + 10 - 78*t**2 + 33*t**2 = 0. Calculate t.
-5, 2
Factor -8*o + o**4 + 1712918*o**3 - 4*o**2 + 6 - 1712910*o**3 - 3*o**4.
-2*(o - 3)*(o - 1)**2*(o + 1)
Let r(y) be the first derivative of -3*y**4/8 + 56*y**3 + 3*y**2/4 - 168*y + 1855. Solve r(v) = 0.
-1, 1, 112
Let g(x) = x**2 + 4*x - 3. Let r be g(-5). Let o be (-21)/6*2/21*-12. Determine z so that z**4 - z**3 + o*z**4 - z**2 + 21*z**r - 19*z**3 = 0.
0, 2
Let h be 85/(-10) + 41*75/350. Let 16/7 + h*g**2 + 12/7*g = 0. Calculate g.
-4, -2
Let u(y) = -16*y - 35. Let s(m) = -11*m - 23. Let n(a) = 8*s(a) - 5*u(a). Let q be n(-3). Factor -15*d + q*d**4 - 6 - 10*d**4 + 3*d**3 - 2*d**4 - 9*d**2.
3*(d - 2)*(d + 1)**3
Suppose 311 = 38*d - 69. Suppose -d*y + 30*y = 300. Factor -6*b + y + 3/5*b**2.
3*(b - 5)**2/5
Find a, given that 27/5 - 27/5*a**3 - 6/5*a**4 - 21/5*a**2 + 27/5*a = 0.
-3, -3/2, -1, 1
Let l be 3/(-36) - (-5)/60. Let j(u) be the second derivative of -3*u - 2/51*u**4 + l - 4/255*u**6 + 1/357*u**7 + 3/85*u**5 + 0*u**2 + 1/51*u**3. Factor j(a).
2*a*(a - 1)**4/17
Solve 5*t - 13*t**2 - 13 - 39*t - t**3 - 14*t - 19 - 4 = 0.
-6, -1
Suppose 0 = -5287*x + 5289*x - 4*y - 58, 2*x + y + 7 = 0. Find l such that 0 + 636/5*l**2 - 90*l**x - 27/5*l**4 - 216/5*l = 0.
-18, 0, 2/3
Let t(z) be the second derivative of z**5/60 + 5*z**4/4 + 28*z**3 + 7349*z - 2. Factor t(o).
o*(o + 21)*(o + 24)/3
Factor -2*c**3 + c**5 - 1054 + 529 + 7*c**4 + 532 + c - 14*c**2.
(c - 1)**2*(c + 1)**2*(c + 7)
Let g = 21/8089 + 8005/32356. Factor -g*h**2 - 9/4*h - 2.
-(h + 1)*(h + 8)/4
Let l(v) be the second derivative of v**6/10 - 3*v**5/20 - 9*v**4/4 - 11*v**3/2 - 6*v**2 + 2*v - 66. Find r, given that l(r) = 0.
-1, 4
Let p(g) = -2*g**3 + 103*g**2 - 1429*g + 4229. Let b(h) = -2*h**3 + 104*h**2 - 1430*h + 4228. Let k(u) = -3*b(u) + 4*p(u). Factor k(w).
-2*(w - 23)**2*(w - 4)
What is p in 62 + 3*p**3 - 1688*p + 46 + 1553*p + 24*p**2 = 0?
-12, 1, 3
Let c(f) be the second derivative of f**6/75 - 17*f**5/50 + 11*f**4/10 + 121*f**3/15 + 14*f**2 - 3498*f - 1. Find u, given that c(u) = 0.
-1, 5, 14
Let b = -5350 - -16060/3. Let g(k) be the first derivative of 2*k**2 + 9/4*k**4 - 13 + 0*k - b*k**3 + 1/12*k**6 - 7/10*k**5. Factor g(z).
z*(z - 2)**3*(z - 1)/2
Factor -938450/7 - 2/7*c**2 + 2740/7*c.
-2*(c - 685)**2/7
Let j be 20/6 - 76/57. Let 25*x + 135 - 5*x**j - 67 - 68 = 0. Calculate x.
0, 5
Let j(c) = 84*c**2 - 12716*c - 4248. Let p(m) = 12*m**2 - 1817*m - 607. Let t(g) = -3*j(g) + 20*p(g). Solve t(f) = 0 for f.
-1/3, 151
Let b(i) be the third derivative of -9*i**7/70 - 1533*i**6/80 