u(w) be the first derivative of -w**3/33 - 59*w**2/22 - 364*w/11 + 3319. Factor u(a).
-(a + 7)*(a + 52)/11
Let a(c) = -c**3 - 5*c**2 + 167*c + 838. Let v be a(-5). Let -16 + 4/3*f**2 + 2/3*f**4 + 10/3*f**v - 40/3*f = 0. Calculate f.
-3, -2, 2
Let c = -1595707/39 - -122749/3. Let 0*i + 10/13*i**5 + 4/13*i**4 - c*i**3 + 0 - 4/13*i**2 = 0. What is i?
-1, -2/5, 0, 1
Let y be (35/(-5) + 816/168)/(42/(-49)). Factor 0*r**4 - 5/6*r**5 + 0*r + 0 - 5/3*r**2 + y*r**3.
-5*r**2*(r - 1)**2*(r + 2)/6
Let s be (-4)/(-8)*6 - 0. Let k(p) = p**3 - 20*p**2 + p - 16. Let w be k(20). Let w*h**s - h**3 + 3*h + 0*h - 6*h**3 = 0. Calculate h.
-1, 0, 1
Let v(l) = 2*l + 62. Let x be v(-30). Factor -4*m**4 + 6*m**x + 7*m**2 + 20*m**3 + 11*m**2.
-4*m**2*(m - 6)*(m + 1)
Let d(v) = -v**2 - 41*v + 2130. Let p be d(-71). Factor 0*u + 0 + p*u**2 + 10/9*u**4 - 4/3*u**3 - 2/9*u**5.
-2*u**3*(u - 3)*(u - 2)/9
Let w(c) be the second derivative of 25/42*c**4 + 28*c + 0*c**3 + 0 - 1/70*c**5 + 0*c**2. Let w(q) = 0. What is q?
0, 25
Let s(u) = -31*u**3 + 336*u**2 + 3931*u + 7012. Let c(x) = -20*x**3 + 230*x**2 + 2620*x + 4675. Let t(z) = 8*c(z) - 5*s(z). Solve t(w) = 0 for w.
-4, -3, 39
Let z(l) be the third derivative of -1/140*l**5 + 0*l**3 + 0*l + 0*l**4 + 1/280*l**6 + 3*l**2 - 1/784*l**8 + 1/490*l**7 + 6. Factor z(o).
-3*o**2*(o - 1)**2*(o + 1)/7
Let i be ((-1)/2 - (-17)/(102/(-18)))*-5. Let s(h) be the first derivative of 5/4*h**4 + 0*h**3 - i*h**2 - 30*h + 40. Factor s(x).
5*(x - 3)*(x + 1)*(x + 2)
Let v(x) be the second derivative of x**4/12 + 11*x**3/6 + 14*x**2 + 5*x. Let u be v(-8). Factor 16/9*f**2 + 4/9*f**5 + 16/9*f**u + 0 + 8/3*f**3 + 4/9*f.
4*f*(f + 1)**4/9
Let y(b) be the second derivative of -5*b**7/42 - 79*b**6/3 - 4719*b**5/2 - 106470*b**4 - 4646655*b**3/2 - 11567205*b**2 - 78*b. Factor y(h).
-5*(h + 2)*(h + 39)**4
Suppose -1420*v = -1334*v. Let l(x) be the third derivative of -29*x**2 - 2/3*x**4 - 7/15*x**5 - 1/15*x**6 + 0*x + v + 8/3*x**3. Factor l(a).
-4*(a + 2)**2*(2*a - 1)
Let t be (-12)/(-66) - (1 + (-51406)/44). Let f = t - 1156. Suppose 0 + 8*k**5 + 9/2*k - 3*k**2 + 4*k**4 - f*k**3 = 0. What is k?
-1, 0, 3/4
Let w(r) be the third derivative of -r**5/30 - 23*r**4/12 - 14*r**3 - 663*r**2. Suppose w(p) = 0. What is p?
-21, -2
Let y be 3 - (-64)/(-24) - 5/(-3). Let i(j) be the first derivative of 24/5*j**y + 1/5*j**3 - 24 + 192/5*j. Determine p, given that i(p) = 0.
-8
Let -1768/7*w + 393/7*w**2 + 1/7*w**4 + 2704/7 - 34/7*w**3 = 0. Calculate w.
4, 13
Find n, given that 25/2*n**5 - 78*n**2 - 18*n + 0 + 0*n**4 - 169/2*n**3 = 0.
-2, -3/5, -2/5, 0, 3
Solve -2/13*q**2 + 72/13*q + 152/13 = 0 for q.
-2, 38
Let r = 2/7 - -13/28. Suppose -2*m = -11*m - 0*m + 6*m - 3, 4*m = 4*a - 12. Factor -1/2*k - r + 1/4*k**a.
(k - 3)*(k + 1)/4
Let y = -17531/11563539 - -1/8047. Let l = 1445/5748 + y. Factor 1/4*b + 1/2 - l*b**3 - 1/2*b**2.
-(b - 1)*(b + 1)*(b + 2)/4
Let i(v) be the third derivative of v**7/420 + 1117*v**6/240 + 34689*v**5/10 + 1081125*v**4 + 4289904*v**3 + v**2 - 3992. Let i(m) = 0. Calculate m.
-372, -1
Let q = -42771 + 42773. Let p(m) be the first derivative of -1/5*m**2 + q + 2/5*m - 1/30*m**3 + 1/40*m**4. Factor p(l).
(l - 2)*(l - 1)*(l + 2)/10
Suppose 0 = 5*j - 2*j + 4*b - 5, 5*b + 11 = 2*j. Let 5 + 6*t**3 - 12 + 20*t - 5 - 3*t**j + 9*t**2 - 5*t**3 = 0. What is t?
-2, 1/2, 6
Let q(a) be the first derivative of a**3/12 - 15*a**2 + 59*a + 4215. Find v such that q(v) = 0.
2, 118
Solve 12*s**3 - 10/7*s**4 + 28*s - 48/7 - 222/7*s**2 = 0.
2/5, 1, 3, 4
Suppose 5*j - 18 = -t, 3*j + 9 = 4*t + 2*j. Factor -3*i**3 - 26 - 2*i + 24*i**2 + 2*i**2 + t*i**3 + 2*i**3.
2*(i - 1)*(i + 1)*(i + 13)
Suppose -z = -2*j + 6 - 1, -5*j - 2*z + 17 = 0. Solve -169*d + 117*d**2 - 47*d + 178 - 88 - 90 - 6*d**j - 3*d**4 = 0.
-8, 0, 3
Find u, given that 853*u**2 - 1/3*u**3 + 620650477/3 - 727609*u = 0.
853
Suppose 244 + 69 - 15*i**3 - 5*i**2 - 15*i**3 + 220*i - 118 = 0. Calculate i.
-13/6, -1, 3
Let i be ((-8)/5 - 200/(-125))/(-2 + 0). Let b(m) be the third derivative of -m**3 - 11*m**2 + 0*m + i + 1/15*m**5 + 1/24*m**4 + 1/120*m**6. Factor b(k).
(k - 1)*(k + 2)*(k + 3)
Factor -5 - 32*q**3 - 59 - 179*q**2 + 507*q**2 + 32*q - 268*q**2 + 4*q**4.
4*(q - 4)**2*(q - 1)*(q + 1)
Let t(u) = u**5 - 3*u**4 + 2*u**3 + 5*u - 5. Let s(d) = d - 1. Suppose 3 = 8*j - 21. Suppose -3*x = -j + 6. Let b(o) = x*t(o) + 5*s(o). Factor b(y).
-y**3*(y - 2)*(y - 1)
Find s such that 144*s + 5*s**4 - 13*s**3 - 90*s - 79*s - 14*s**4 + 45*s**2 + 0*s**5 + 2*s**5 = 0.
-5/2, 0, 1, 5
Let w be (168/22)/2 + 2/11. Suppose -2*m = -2*b + 6, -w*b + b + 9 = 5*m. Solve -4/11*u**3 + m - 14/11*u**4 + 16/11*u + 56/11*u**2 = 0.
-2, -2/7, 0, 2
Suppose 0 = 14*h - 10*h - 12. Let k(q) = 3*q**2 + 7*q - 3. Let f be k(h). Solve 278 + 12*u**4 + 2*u + f*u**3 + 7*u - 284 + 48*u**2 = 0.
-2, -1, 1/4
Let f(p) = -18*p**2 - 408*p + 2. Let a(h) = -116*h**2 - 2449*h + 13. Let x(v) = -2*a(v) + 13*f(v). Factor x(i).
-2*i*(i + 203)
Suppose 3451 = -36*y + 7*y. Let m = y + 125. Solve -1 + m*f**2 - 7/2*f**3 - 3/2*f = 0 for f.
-2/7, 1
Let k(q) be the first derivative of -3*q**4/8 + 21*q**2/4 + 9*q - 850. Factor k(r).
-3*(r - 3)*(r + 1)*(r + 2)/2
Let b(l) be the third derivative of l**11/332640 - l**9/7560 + l**7/315 + 59*l**5/30 + 46*l**2. Let t(x) be the third derivative of b(x). Factor t(s).
s*(s - 2)**2*(s + 2)**2
Factor -400 + 2/5*h**3 - 12*h**2 + 120*h.
2*(h - 10)**3/5
Let i(n) be the second derivative of n**6/630 - 3*n**5/70 - 22*n**3 + 2*n. Let h(m) be the second derivative of i(m). Determine d so that h(d) = 0.
0, 9
Factor 94*r**2 - 80*r**3 + 163*r**3 + 20 - 86*r - 65*r**3 - 46*r**3.
-2*(r - 2)*(r - 1)*(14*r - 5)
Suppose -h - 2*t = -5, 5*t - 1 - 11 = -3*h. Let y be (-4)/12*-9 - (h - -2). Factor -23 - 6*u - 10*u + 4*u**y + 35.
4*(u - 3)*(u - 1)
Let l(q) = q**3 - 17*q**2 - 106*q + 8. Let z be l(22). Let i be z/240 + (4 + -1 - 1). Find d such that i*d**3 - 8/5*d**2 - 8/5*d**4 + 2/5*d**5 + 0 + 2/5*d = 0.
0, 1
Let q(b) be the second derivative of -2*b**7/21 + 7*b**6/30 + 47*b**5/10 + 71*b**4/12 - 22*b**3 - 18*b**2 - b - 54. Find v such that q(v) = 0.
-3, -2, -1/4, 1, 6
Let c(l) be the third derivative of 0*l**3 - 1/30*l**5 + 1/105*l**7 + 0*l + 1/120*l**6 + 1/672*l**8 - 1 - 1/16*l**4 + 9*l**2. Find y such that c(y) = 0.
-3, -1, 0, 1
Let o = 208 + -204. Factor l**2 + 13*l**o - l - 23*l**3 + 24*l**3 - 14*l**4.
-l*(l - 1)**2*(l + 1)
Let r(y) be the first derivative of 1/3*y**3 + 0*y + 0*y**2 + 5/12*y**4 - 1/18*y**6 + 1/15*y**5 + 5. What is h in r(h) = 0?
-1, 0, 3
Let t(r) = -2*r**4 - 3*r**3 - 2*r**2 - 1. Let n(m) = 5*m**4 - 8*m**3 - 10*m**2 + 3. Let s(o) = -2*n(o) - 6*t(o). What is q in s(q) = 0?
-16, -1, 0
Let o(s) = 17*s - 64. Let q be o(4). Factor -6*d**4 + 12*d**q - 2*d**3 - 3*d**3 - 16*d**4 + 3*d**2 + 8*d**4.
-d**2*(d + 3)*(2*d - 1)
Let d(n) be the third derivative of -n**5/270 + 11*n**4/6 + 400*n**3/27 - 2856*n**2. Determine j so that d(j) = 0.
-2, 200
Let 44*z**2 + 0*z + 46*z**3 + 1/2*z**5 + 0 + 13*z**4 = 0. Calculate z.
-22, -2, 0
Let i(q) be the first derivative of 12*q**5/5 - 16*q**4/5 - 116*q**3/15 + 4*q**2/5 - 4558. What is p in i(p) = 0?
-1, 0, 1/15, 2
Let x = -430766/9 - -47864. What is l in -x*l + 2/9*l**2 - 4/3 = 0?
-1, 6
Let q(s) be the second derivative of -s**7/105 - 4*s**6/25 - 13*s**5/25 + 2*s**4/5 + 9*s**3/5 + 70*s - 3. What is w in q(w) = 0?
-9, -3, -1, 0, 1
Let m(j) be the third derivative of 2*j**7/105 + 43*j**6/15 + 2012*j**5/15 + 3485*j**4/3 + 3362*j**3 + 2*j**2 + 38*j - 2. Solve m(a) = 0 for a.
-41, -3, -1
Let i(m) = 8*m**2 + 524*m + 1024. Let a(z) = z**2 + 58*z + 114. Let x(y) = 28*a(y) - 3*i(y). Find n, given that x(n) = 0.
-10, -3
Let j = -516669/8 + 64584. Factor -j + 36501/8*v**3 + 207/8*v - 4761/8*v**2.
3*(23*v - 1)**3/8
Let c(s) = -s**2 + 6*s + 15. Let i be c(7). Let g(d) = -39*d**2 + 210*d - 487. Let b(h) = -25*h**2 + 140*h - 325. Let p(l) = i*b(l) - 5*g(l). Factor p(q).
-5*(q - 11)*(q - 3)
Suppose 2*y = 4*w - 116, 5*w - 5*y = 82 + 68. Factor 22 + 74*n**4 - 39*n**4 + 72*n**2 - 68*n - w*n**3 - 33*n**4.
2*(n - 11)*(n - 1)**3
Suppose 2600 = 1489*g - 1867. Factor 0 + 20/7*m + 24/7*m**2 + 4/7*m**g.
4*m*(m + 1)*(m + 5)/7
Suppose -9975*c + 415 - 924*c**2 + 1085*c**2 + 4574 - 167*c**2 = 0. What is c?
-1663, 1/2
Factor 2/7*o**2 + 348 