 z(r) = 0. Calculate r.
-88, -1, 2
Let i = 19775 - 19772. Let z(l) = l**3 - 4*l**2 + 2. Let u be z(4). Factor -2*d - 4/7 - 2/7*d**4 - 18/7*d**u - 10/7*d**i.
-2*(d + 1)**3*(d + 2)/7
Let u(t) be the first derivative of -t**9/108 - 11*t**8/105 - 5*t**7/14 - t**6/5 - 145*t**3/3 - 89. Let i(s) be the third derivative of u(s). Factor i(g).
-4*g**2*(g + 3)**2*(7*g + 2)
Let z(t) be the third derivative of -t**5/240 - 241*t**4/48 - 58081*t**3/24 + 77*t**2 + 1. Find s such that z(s) = 0.
-241
Let v be 228/144 - ((-1)/(-10))/(32/80). Let d(z) be the first derivative of z**4 - 16*z - 8*z**2 + 17 + v*z**3. Factor d(l).
4*(l - 2)*(l + 1)*(l + 2)
Let z = -517256 + 517258. Find s, given that -1/2 + 1/2*s**3 + 1/2*s**z - 1/2*s = 0.
-1, 1
Let l(u) = 2*u**2 + 317*u - 8. Let j(b) = 3*b**2 + 316*b + 7. Let y(c) = -4*j(c) + 3*l(c). Factor y(o).
-(o + 52)*(6*o + 1)
Suppose -9 = 929*p - 927*p - 5*j, 2*p + 4*j = 18. Determine o so that -1/3*o**4 + 0 - 23/3*o**p - 40*o**2 + 48*o = 0.
-12, 0, 1
Let f(h) be the second derivative of 0 + 1521/2*h**2 + 1/48*h**4 + 231*h + 13/2*h**3. Determine d so that f(d) = 0.
-78
Suppose 36 = 5*f + 11, 4*f + 20 = 10*h. Let y(g) be the third derivative of 0*g - 2/3*g**3 + 1/6*g**h + 0 + 1/15*g**5 - 19*g**2 - 1/30*g**6. Factor y(z).
-4*(z - 1)**2*(z + 1)
Suppose 0 = -3*f - u + 10, -4*f + 4*u + 1 - 9 = 0. Determine i, given that -67*i + f*i**3 + 5*i**2 + 138*i - 67*i - 16 + 5*i**2 = 0.
-4, -2, 1
Suppose -3*i - 3*d = -495 - 2049, -4*d = 5*i - 4235. Let g = i + -842. Factor h**3 - g + 5/3*h + 11/3*h**2.
(h + 1)*(h + 3)*(3*h - 1)/3
Let k(l) be the first derivative of -l**6/1800 + l**5/120 + 7*l**4/60 + 109*l**3/3 - 123. Let b(a) be the third derivative of k(a). Let b(m) = 0. Calculate m.
-2, 7
Let b = -616 - -636. Let a be 16 - b - (-8 - -2). Find j such that 10/9*j + 2/9*j**3 - 4/9 - 8/9*j**a = 0.
1, 2
Determine v so that -v**2 + 1868*v + 540 + 1855*v + 0*v**2 - 3730*v = 0.
-27, 20
Solve -3*h**3 - 2688*h + 2182 + 122*h**2 + 384 - 8*h**2 + 60*h**2 + 2138 = 0 for h.
2, 28
Let 28*h**4 - 44 - 70*h + 457*h**3 + 2*h**5 + 221*h**3 - 610*h**3 + 16*h**2 = 0. What is h?
-11, -2, -1, 1
Let a(s) be the second derivative of s**7/168 - s**6/72 - s**5/4 + s**3/2 + 13*s**2/2 - s - 80. Let m(r) be the second derivative of a(r). Factor m(d).
5*d*(d - 3)*(d + 2)
Suppose -1 = a - 5. Solve -a*h + 1202*h**2 - 28 + 14*h - 1200*h**2 = 0 for h.
-7, 2
Let 0 + 0*u - 2/5*u**3 + 28/5*u**2 = 0. What is u?
0, 14
Suppose f + 6 = v, 12 = -v - 3*f - 2*f. Factor -17*q**5 - 1 + 2*q**v - 24*q**5 + 4*q**4 - 21*q**5 + 61*q**5 - q - 8*q**2 + 5.
-(q - 4)*(q - 1)**2*(q + 1)**2
Let r be (-156)/4524 + 30/29 - (-1 + -2). Suppose -1/5*q**r - 4/5 + 3/5*q**2 + 4/5*q - 2/5*q**3 = 0. Calculate q.
-2, 1
Let t(r) = 15*r**2 + 25645*r + 16706. Let s(u) = -128. Let c(y) = 3*s(y) - t(y). Suppose c(h) = 0. What is h?
-1709, -2/3
Let o = 109/23 - 1285/276. Let n(q) be the second derivative of 0 + 0*q**2 - 1/12*q**3 - o*q**4 - 1/40*q**5 + 8*q. Factor n(s).
-s*(s + 1)**2/2
Let b be 1/(-2) + ((-708)/24 - -30). Let b + 0*p - 1/8*p**3 + 1/8*p**2 = 0. What is p?
0, 1
Let h(w) be the first derivative of 2*w**5/85 - 402*w**4/17 + 1604*w**3/17 - 2404*w**2/17 + 1602*w/17 + 5677. Let h(f) = 0. What is f?
1, 801
Let r(w) = 95*w + 663. Let c be r(-7). Let x be -27*c/(10 - -2). Factor -9/4*g**3 - x - 3/4*g + 15/2*g**2.
-3*(g - 3)*(g - 1)*(3*g + 2)/4
Suppose 5*k - 2*k = -5*j + 491, 288 = 3*j + 4*k. Let i(v) be the first derivative of -10*v**2 - 12 - 14*v**2 - j*v - 48*v - v**3 - 44*v. Factor i(z).
-3*(z + 8)**2
Let h(z) = z**2 - 7*z. Let c(l) = l**2 - 10*l. Let r(b) = -5*c(b) + 7*h(b). Let o(d) = -3*d**2 - 15*d - 14. Let q(i) = o(i) + 2*r(i). Factor q(f).
(f - 14)*(f + 1)
Let u be (-1896)/158 + 2 + 14. Let v(g) be the second derivative of -2/21*g**3 - 1/42*g**u - 29*g + 0 + 3/7*g**2. Factor v(l).
-2*(l - 1)*(l + 3)/7
Let o(p) = 6*p**3 + 5*p**2 - 10*p - 2. Let r be o(-5). Let y = r + 582. Factor 0 + s**3 - 1/2*s + 0*s**2 + 0*s**4 - 1/2*s**y.
-s*(s - 1)**2*(s + 1)**2/2
Solve -260/3*m + 5/3*m**4 + 0 - 80*m**2 - 15*m**3 = 0 for m.
-2, 0, 13
Suppose -5*o + s = 2*s - 95, 0 = -4*s. Suppose 0 = 2*h + o*h - 84. Factor 4/5*d**2 + 0*d + 4/5*d**3 - 4/5*d**h + 0 - 4/5*d**5.
-4*d**2*(d - 1)*(d + 1)**2/5
Let y be 4/(-48)*-13*160/130. Factor 1/3*g**2 + y - 4/3*g.
(g - 2)**2/3
Let o = 5938/5 - 41486/35. Let t(z) be the first derivative of 2/7*z**2 - 2/21*z**3 - 11 + o*z. Suppose t(h) = 0. What is h?
-2, 4
Let q(f) = -24*f**3 - 1049*f**2 + 286229*f - 285156. Let a(x) = -29*x**3 - 1045*x**2 + 286230*x - 285156. Let v(k) = -5*a(k) + 6*q(k). Solve v(r) = 0.
1, 534
Let q be ((-6)/(-288))/((-58)/(-1856)). Let c = -3/79 + 799/237. Factor -c - q*l**3 - 2*l**2 + 6*l.
-2*(l - 1)**2*(l + 5)/3
Let t(v) be the second derivative of -2*v**6/15 - 88*v**5/5 - 86*v**4/3 + 176*v**3/3 + 174*v**2 + 26*v + 3. Determine y so that t(y) = 0.
-87, -1, 1
Suppose -15 = -2*c + 3*d + 34, 4*d = -c + 30. Suppose 0*x = 4*x - 12. Factor -5*a**5 - 2*a**3 - 10*a**5 + c*a**4 - 2*a**x - 7*a**5.
-2*a**3*(a - 1)*(11*a - 2)
Let m(h) be the third derivative of h**5/300 + 51*h**4/40 - 79*h**3/3 + 2*h**2 - h + 115. Find u, given that m(u) = 0.
-158, 5
Suppose -5*j = -5*o - 5, 4*j - 14 = 5*o - 12. Factor -3*n**3 + 9*n**4 - 254*n**o + 495*n**2 + 3*n - 250*n**2.
3*n*(n - 1)*(n + 1)*(3*n - 1)
Suppose 18 = r - 2*h + 8, 3*r - 2 = -h. Let f(z) = -38*z + 78. Let y be f(r). Factor -3*v**y + 0*v - 7/2*v**3 + 0 - 1/2*v**4.
-v**2*(v + 1)*(v + 6)/2
Let g(q) be the first derivative of -q**9/12096 + q**7/1120 + q**6/720 - 19*q**3/3 - 117. Let u(n) be the third derivative of g(n). Let u(m) = 0. What is m?
-1, 0, 2
Let r be (-34)/(-10) - 9/((-135)/(-6)). Determine v so that 0*v - r*v**2 + v**2 + 11*v - v = 0.
0, 5
Let p(j) be the first derivative of 21*j**5/5 + 3609*j**4/2 + 211132*j**3 + 1123020*j**2 - 693600*j + 1708. Let p(q) = 0. What is q?
-170, -4, 2/7
What is l in 3*l**4 + 379/2*l + 127/2*l**3 - 60 - 196*l**2 = 0?
-24, 5/6, 1
Let n be (-648)/(-36)*1/(9/60). Let l be (-42)/n + 3/4. Factor 0*q**3 - l*q**4 - 1/5*q**5 + 0 + 2/5*q**2 + 1/5*q.
-q*(q - 1)*(q + 1)**3/5
Let j = 3897 - 3885. Let l(k) be the first derivative of 63/2*k**6 + 91*k**3 - 57*k**5 + 8 - 81/4*k**4 - 54*k**2 + j*k. Determine s, given that l(s) = 0.
-1, 2/9, 2/7, 1
Determine t, given that -7519075 - 201*t**2 + 67335*t + 1/5*t**3 = 0.
335
Factor 8166*l**3 - 963*l**3 - 121613*l**2 - 319*l - 69 + 7084*l - 44350*l**2.
3*(l - 23)*(49*l - 1)**2
Let i(z) be the second derivative of 2/25*z**5 - 1/150*z**6 - 3 + 0*z**2 + z + 0*z**3 - 7/60*z**4. Factor i(n).
-n**2*(n - 7)*(n - 1)/5
Solve 1/5*h**2 - 4*h + 99/5 = 0 for h.
9, 11
Let t be 486/(-378)*(-2)/8 - 62/(-248). Suppose -6*x - 9 = 3*p - x, -2*x = 3*p. Determine m so that -t*m**3 + 4/7*m - 8/7*m**p + 2/7*m**4 + 6/7 = 0.
-1, 1, 3
Let y(j) be the second derivative of -j**4/6 - 40*j**3/3 - 351*j**2 + 2*j + 622. Factor y(f).
-2*(f + 13)*(f + 27)
Let u = 542 + -546. Let m(b) = 112*b**2 - 204*b + 100. Let r(y) = -y**3 - 112*y**2 + 202*y - 99. Let p(w) = u*r(w) - 5*m(w). Solve p(t) = 0 for t.
1, 26
Suppose -y + 228 - 12 = 3*j, -288 = -4*j - y. Solve 105*m**2 + 42*m - j*m**3 - 104*m**5 - 33*m**4 + 107*m**5 + 27*m**3 - 72 = 0.
-2, -1, 1, 12
Let d(t) be the third derivative of t**6/30 - 26*t**4/3 + 64*t**3 + 3846*t**2. Factor d(g).
4*(g - 6)*(g - 2)*(g + 8)
Find h, given that -3*h**2 - 3*h**2 + h**2 + 8364*h + 990 - 7875*h + 2*h**2 = 0.
-2, 165
Let o(n) = -6*n**3 + 4*n**2 - 2*n - 3. Let c be o(2). Let x = c - -43. Find y such that -14*y**4 + 90*y**2 + 22*y**3 + 16*y**x + 105*y + 57*y + 108 = 0.
-3, -2
Suppose -8*v + 115 = 15*v. Suppose -11 - 9 + v*b**2 + 2 - 7 - 20*b = 0. What is b?
-1, 5
Let q(f) be the third derivative of -f**5/30 + 269*f**4/12 + 90*f**3 + 442*f**2 - 2. Factor q(c).
-2*(c - 270)*(c + 1)
Let u(v) = -2*v**2 - 11*v - 19. Let f be u(-6). Let m = f - -27. Factor n**m + 4*n**4 + 2*n - 2*n**5 - 5*n**2 + 0*n**2.
-2*n*(n - 1)**3*(n + 1)
Let b(q) be the second derivative of q**5/130 + 38*q**4/39 - 155*q**3/39 + 6*q**2 - 633*q. Factor b(p).
2*(p - 1)**2*(p + 78)/13
Let d = 1/28124 + 2249917/84372. Factor -1600/3 - 1/3*b**2 - d*b.
-(b + 40)**2/3
Let q = 43 - -158. Suppose -b - q = -3*d, -4*b + 208 = 3*d + 22. Factor 4*g**2 + 66*g - d*g.
4*g**2
Suppose 72*c = -3*t + 71*c + 13, 