2 + 78 - 9*t + 2325*t**2.
2*(t - 13)*(4*t - 3)
Suppose 40 = -4*f + 4*l, f + 2*l + 3 = -4. Let s be (-2)/13 + (f - (-833)/91). Determine k, given that s + 4/9*k**3 - 4/9*k - 2/9*k**2 + 2/9*k**4 = 0.
-2, -1, 0, 1
Let h(o) be the first derivative of -2*o**5/5 + 79*o**4 - 12482*o**3/3 + 1188. Determine m, given that h(m) = 0.
0, 79
Let z be (-1 - (-15)/7)*180*239/19120. Solve -6/7 - 45/7*k - 57/7*k**2 - z*k**3 = 0 for k.
-2, -1, -1/6
Let h = 8439/2 + -4215. Let c(k) be the first derivative of 6*k + h*k**2 + 7 + k**3. Suppose c(p) = 0. Calculate p.
-2, -1
Let t = -3869 + 3869. Let r(s) be the second derivative of 1/90*s**5 + 0*s**3 + t*s**2 + 0 + 1/135*s**6 - 20*s - 1/27*s**4. Suppose r(y) = 0. What is y?
-2, 0, 1
Let r be (-4070)/(-8) - ((-105)/(2 + 5) + 17). Let 210*b + 25 + 567/4*b**4 + 2249/4*b**2 + 49/4*b**5 + r*b**3 = 0. Calculate b.
-5, -1, -2/7
Let j(m) be the first derivative of 2*m**5/75 + 17*m**4/30 - 2*m**3/15 - 49*m**2/15 + 68*m/15 + 335. Determine n so that j(n) = 0.
-17, -2, 1
Let j(y) be the third derivative of -32/5*y**3 - 6/5*y**4 + 0 + 0*y - 1/200*y**6 + 3/20*y**5 - 11*y**2. Solve j(w) = 0.
-1, 8
Let l = 1207918/528465 + 2/528465. Factor 6/7*j**5 + 0*j**2 + 0*j + l*j**4 - 6/7*j**3 + 0.
2*j**3*(j + 3)*(3*j - 1)/7
Factor -16/5*v - 64 + 1/5*v**3 + 11/5*v**2.
(v - 5)*(v + 8)**2/5
Let r(w) = -w + 2. Let q(v) = 2*v**2 - 13*v - 2. Let z(m) = 2*q(m) - 6*r(m). Let d(o) = -2*o**2 - o - 1. Let h(b) = 4*d(b) + z(b). Solve h(l) = 0 for l.
-5, -1
Solve 817 - 2618 - 1795*m + 1203 - 3*m**2 = 0 for m.
-598, -1/3
Let g(d) = -d**2 - 52*d - 315. Let c be g(-7). Let n(i) be the second derivative of c - 1/16*i**5 - 7*i - 5/8*i**2 + 5/48*i**4 + 5/24*i**3. Solve n(r) = 0.
-1, 1
Let d(p) be the second derivative of -p**4/28 - 149*p**3/7 - 66603*p**2/14 - 156*p. Factor d(m).
-3*(m + 149)**2/7
Let a be ((-3)/2 - (-430)/258)/4. Let j(h) be the third derivative of 1/120*h**6 + 1/30*h**5 + 0 - 1/3*h**3 - 22*h**2 - a*h**4 + 0*h. Factor j(m).
(m - 1)*(m + 1)*(m + 2)
Suppose 3*c + 9 = 5*q - 10, -5*c = 15. Let t = -17291/15 - -5767/5. Suppose -1/3*z**q - z - t = 0. What is z?
-2, -1
Let x = 36258 + -253782/7. Solve 44/7*v**2 + 2/7*v**4 + x*v**3 - 24*v + 14 = 0 for v.
-7, 1
Let s = -137665 - -137667. Find u such that -14/11*u + 16/11 - 2/11*u**s = 0.
-8, 1
Let b(i) = 8*i**3 - 248*i**2 + i - 1. Let q be b(31). Factor 3*w**2 - 3/2*w**3 + q*w + 36.
-3*(w - 6)*(w + 2)**2/2
Suppose 0 = -2411*a + 2404*a + 7. Let b be (-21 - -22)*(a + -1). What is o in 3/4*o**2 + 3/4*o + b = 0?
-1, 0
Let a = -11959/269220 + 30/641. Let m(l) be the third derivative of 1/210*l**5 + 0 + 1/84*l**4 + 0*l + 7*l**2 - a*l**6 - 1/21*l**3. Find u such that m(u) = 0.
-1, 1
Let f(x) be the first derivative of -10*x**3 - 15/4*x**4 + 0*x**5 + 1/4*x**6 - 52 - 6*x - 45/4*x**2. Factor f(j).
3*(j - 4)*(j + 1)**4/2
What is s in -19/3*s**4 + 32 + 59/3*s**2 - 15*s**3 - 1/3*s**5 + 182/3*s = 0?
-16, -3, -1, 2
Let t(l) = -6*l + 72. Let n(i) = i**3 - 4*i**2 + 7*i. Let z be n(3). Let g be t(z). Factor -4/5*v + g - 1/5*v**2.
-v*(v + 4)/5
Let t = 166 - 2016. Let w = t + 5552/3. Factor w*p + 2/15*p**2 + 8/15.
2*(p + 1)*(p + 4)/15
Let p(u) = u**2 + 5*u + 6. Let o be p(-4). Let d(r) = r**3 + 14*r**2 + 2227*r + 36146. Let f be d(-16). Factor 1/2*i**o + f*i + 3/2.
(i + 1)*(i + 3)/2
Solve 2/11*q**2 - 10/11*q + 12/11 = 0.
2, 3
Determine v so that -1/2*v**2 - 17 - 19/2*v = 0.
-17, -2
Let w = 107 - 105. Let -2*k**2 - 25*k**3 + 4*k**w + k**4 + 22*k**3 = 0. What is k?
0, 1, 2
Let -j**2 + 3*j**2 - 39*j + 41*j - 14*j - 256 - 112*j = 0. What is j?
-2, 64
Let k(p) = -6*p**3 - 5*p**2 - 5*p + 2. Let s be k(-2). Suppose 0 = -2*b + 7*b - s. Find y, given that 160 + b*y**3 + 4*y + 12*y**2 - 160 = 0.
-1, -1/2, 0
Suppose -2/15*x**5 - 112/5*x**3 + 0*x + 0 - 92/15*x**4 + 0*x**2 = 0. What is x?
-42, -4, 0
Let u(p) be the first derivative of 25/2*p**4 - 500/3*p**3 - 1/2*p**5 + 1/120*p**6 - 15 + 0*p + 2*p**2. Let b(q) be the second derivative of u(q). Factor b(z).
(z - 10)**3
Suppose -2*p = -3*q + 109 - 137, q + 18 = 5*p. Let y(u) be the first derivative of 0*u**p - 5/4*u**4 + 21 + 10/3*u**3 + 0*u - u**5. Factor y(l).
-5*l**2*(l - 1)*(l + 2)
Factor 1/9*b**2 - 364/3*b + 33124.
(b - 546)**2/9
Let x be 1 + ((-11)/(88/(-16)))/(2 - 1). Let f(l) be the second derivative of 4/9*l**x - 9*l + 0*l**2 + 2/3*l**4 + 0 + 1/6*l**5. Solve f(q) = 0.
-2, -2/5, 0
Suppose -49*m + 48 = -37*m. Suppose -4*w - q + 0*q + 8 = 0, 0 = m*w + 2*q - 8. What is o in -1/5*o**w - 1/5 - 2/5*o = 0?
-1
Let n(g) = 3*g**3 + g**2 - 6*g - 1. Let p be n(-2). Let m be (-1)/(1/p*3). What is u in 4/3*u + 5/3*u**2 - u**m - 4/3 = 0?
-1, 2/3, 2
Suppose 9*v = -11 + 227. Let h be 6 + v/56*(-76)/6. Factor -8/7*p**2 - h - 10/7*p - 2/7*p**3.
-2*(p + 1)**2*(p + 2)/7
Let p(j) = 7*j**3 - 5*j**2 - j - 12. Let m(a) = 6*a**3 - 5*a**2 - 11. Let b(z) = -6*m(z) + 5*p(z). Let h be b(4). Factor 4*o + 0 - 7*o**h + 6*o**2 - 3.
-(o - 3)*(o - 1)
Let q(a) be the second derivative of 0 - 13*a + 14/3*a**3 - 24*a**2 - 1/3*a**4. Factor q(x).
-4*(x - 4)*(x - 3)
Let y(q) be the third derivative of q**3 - 1/210*q**7 + 17/24*q**4 + 1/40*q**6 + 1/4*q**5 + 0 + 5*q**2 - 18*q. Factor y(a).
-(a - 6)*(a + 1)**3
Let l be (0*2/(-6))/(-2). Let d be (6/(-9))/(-6 + 4). What is q in l + d*q**4 + 1/3*q - 1/3*q**3 - 1/3*q**2 = 0?
-1, 0, 1
Let w(k) be the first derivative of 0*k + 14/45*k**3 + 0*k**2 + 1 - 1/5*k**4 - 2/75*k**5. Find g such that w(g) = 0.
-7, 0, 1
Let z(v) be the first derivative of 0*v - 144/5*v**5 + 47/3*v**3 - v**2 - 292 - 66*v**4. Suppose z(x) = 0. Calculate x.
-2, 0, 1/12
Let p(v) be the second derivative of 2*v**6/15 + 29*v**5/5 - 138*v**4 - 624*v**3 - 2364*v. Factor p(k).
4*k*(k - 12)*(k + 2)*(k + 39)
Let k(x) be the second derivative of -x**7/168 - x**6/40 + 17*x**5/80 + 9*x**4/16 - 13*x**3/6 - 15*x**2/2 + 5424*x. Determine o, given that k(o) = 0.
-5, -2, -1, 2, 3
Let u(n) be the first derivative of n**4/4 - 22*n**3/3 - 85*n**2/2 + 250*n + 154. Factor u(b).
(b - 25)*(b - 2)*(b + 5)
Let q(y) be the second derivative of y**4/42 - 300*y**3/7 + 202500*y**2/7 - 481*y. Suppose q(h) = 0. Calculate h.
450
Let c(b) be the first derivative of -b**7/252 + 7*b**6/216 - b**5/12 + 2*b**3/3 - 11*b**2/2 + 6. Let k(g) be the third derivative of c(g). Factor k(w).
-5*w*(w - 2)*(2*w - 3)/3
Factor -1121/3*k + 1/3*k**2 - 374.
(k - 1122)*(k + 1)/3
Let t(m) be the third derivative of -5*m**8/336 + 5*m**7/42 + m**6/8 - 17*m**5/12 + 25*m**4/12 + 478*m**2. Find a such that t(a) = 0.
-2, 0, 1, 5
Let m(h) be the second derivative of -h**7/21 - 2*h**6/5 + 11*h**5/2 + 7*h - 33. Determine k, given that m(k) = 0.
-11, 0, 5
Let u be -87 + 97 - (4 + 1). Suppose u*t + 726 = 746. Find q, given that 8/11 - 32/11*q - 14/11*q**t + 32/11*q**3 + 6/11*q**2 = 0.
-1, 2/7, 1, 2
Suppose 0 = -3*m + 9, k + 9 + 0 = 4*m. Find z such that 3*z**2 + 48*z - 63*z**2 - 4*z**3 + 10*z**3 + 16 + 10*z**k = 0.
-1/4, 2
Let s(b) = -6*b**3 - 90*b**2 - 188*b - 94. Let x(n) = -n**3 + 5*n**2 - 1. Let c(f) = -s(f) + 2*x(f). Factor c(i).
4*(i + 1)**2*(i + 23)
Let w(l) = -2453*l + 58872. Let n be w(24). Solve -2/5*h**3 + 1/10*h**2 + 1/10*h**4 + n + 3/5*h = 0.
-1, 0, 2, 3
Let l(v) be the second derivative of -v**4/48 - 203*v**3/6 - 41209*v**2/2 + 1543*v. Let l(h) = 0. Calculate h.
-406
Let q(t) be the first derivative of t**7/480 + t**6/720 - 7*t**5/480 - t**4/48 - 142*t**3/3 - 48. Let o(f) be the third derivative of q(f). Factor o(x).
(x - 1)*(x + 1)*(7*x + 2)/4
Factor -1/6*f**4 + 26/3 + 40/3*f - 13/3*f**3 + 1/2*f**2.
-(f - 2)*(f + 1)**2*(f + 26)/6
Let i(s) = -s**4 - 71*s**3 + 184*s**2 - 61*s - 60. Let a(o) = 3*o**4 + 72*o**3 - 183*o**2 + 60*o + 60. Let n(g) = 3*a(g) + 4*i(g). Determine j so that n(j) = 0.
-2/5, 1, 3, 10
Let s(c) = 5*c**4 + 14*c**3 - 95*c**2 + 272*c - 256. Let t(y) = 11*y**4 + 30*y**3 - 191*y**2 + 543*y - 513. Let w(p) = -9*s(p) + 4*t(p). Solve w(m) = 0.
-14, 2, 3
Let n(w) be the second derivative of w**7/105 + 49*w**6/150 - w**5/4 - 473*w. Factor n(x).
x**3*(x + 25)*(2*x - 1)/5
Let w = -101097407/234 - -432041. Let d = w - 15/26. Let 16/9*b - 2/9*b**3 - 8/3 + d*b**2 = 0. Calculate b.
-3, 2
Let n(v) = -8*v**2 + 7*v + 9. Let f(z) = -10*z**2 + 7*z + 8. Let m(i) = -4*f(i) + 6*n(i). Let u(j) = -j**2 + j + 2. Let d(r) = 3*m(r) - 21*u(r). Factor d(q).
-3*(q - 8