(-6)*20 - 3/9. Find t such that x*t + 3/2*t**2 + 0 = 0.
-2, 0
Let i(u) be the second derivative of -u**7/840 + u**6/480 + u**5/240 - u**4/96 - u**2/2 - 6*u. Let a(l) be the first derivative of i(l). Factor a(v).
-v*(v - 1)**2*(v + 1)/4
Let l(b) be the second derivative of 13*b**4/24 + 41*b**3/12 + 3*b**2/2 - 164*b. Factor l(q).
(q + 3)*(13*q + 2)/2
Suppose -2*q - 3*t + 8 + 12 = 0, 2*q - 4 = t. Let u be ((5 - -3)/q - -2) + -4. Factor -2*l**2 - 2/5*l**4 - 4/5*l - 8/5*l**3 + u.
-2*l*(l + 1)**2*(l + 2)/5
Let d = -2146 - -2146. Determine k, given that 8/9*k + d - 2/9*k**2 = 0.
0, 4
Let d(v) be the third derivative of -5*v**7/168 - 287*v**6/48 - 571*v**5/60 - 19*v**4/4 + 940*v**2. Find x, given that d(x) = 0.
-114, -2/5, 0
Determine q so that 27/4*q - 6 - 3/4*q**2 = 0.
1, 8
Solve 71 + 15*u**3 - 16*u**4 - 3*u**5 + 4*u**4 - 71 = 0.
-5, 0, 1
Let q(p) = 7*p**2 + 28*p + 21. Let k = -37 - -38. Let z(j) = j**2 + j. Let o(c) = k*q(c) - 4*z(c). Factor o(i).
3*(i + 1)*(i + 7)
Let u be (-1170)/442 - (-5 - -2). Find n, given that 104/17*n**3 - 8/17 - 44/17*n**4 + 50/17*n + u*n**5 - 108/17*n**2 = 0.
1/3, 1, 4
Suppose -4*l + y + 53 = 0, y = -3*l + 43 + 2. Let d(s) = -s + 16. Let x be d(l). Factor -2/5 + 2/5*f**x + 0*f.
2*(f - 1)*(f + 1)/5
Let h(z) = -z + 1. Let c(a) = -2*a + 8. Let x(s) = -2*c(s) + 6*h(s). Let y be x(-5). Factor o**3 + 1/6*o**5 + 1/6*o - 2/3*o**2 + y - 2/3*o**4.
o*(o - 1)**4/6
Factor -22*o + 1/4*o**4 - 9*o**2 - 1/2*o**3 - 16.
(o - 8)*(o + 2)**3/4
Suppose 9*i = 162 + 36. Factor 2*z - 2*z - 19*z**2 + 3*z**3 + i*z**2.
3*z**2*(z + 1)
Let y = -80 + 94. Let w be 2 + ((-4)/y - 0). Factor 0 - w*c**2 - 2/7*c.
-2*c*(6*c + 1)/7
Suppose 329*n + 97/7*n**2 + 1/7*n**3 - 343 = 0. What is n?
-49, 1
Let y = 17194 + -34385/2. Factor -1/8*d**3 - y*d + 1 + 3/4*d**2.
-(d - 2)**3/8
Let q(i) be the second derivative of i**4/2 + i**3/2 - 9*i**2/2 - 2*i - 7. Find o, given that q(o) = 0.
-3/2, 1
Let y = 2 - -1. Factor -8*n**3 + n + 3 - 6*n**3 - 3*n**2 + 13*n**y.
-(n - 1)*(n + 1)*(n + 3)
Let h = 1512/187 - 251083/29920. Let l = 3/32 - h. Factor -2/5*k + 2/5*k**3 - l*k**2 + 2/5.
2*(k - 1)**2*(k + 1)/5
Let t(g) = 16*g**3 - 60*g**2 + 11*g + 69. Let h(s) = 7*s**3 - 30*s**2 + 5*s + 34. Let j(k) = 9*h(k) - 4*t(k). Factor j(z).
-(z - 1)*(z + 1)*(z + 30)
Let n(m) be the third derivative of -m**5/120 + 19*m**4/24 - 361*m**3/12 + 2*m**2 - 4*m. Solve n(j) = 0.
19
Factor 33*t**4 - 3/2*t**5 - 486*t + 594*t**2 + 0 - 471/2*t**3.
-3*t*(t - 9)**2*(t - 2)**2/2
Let l(q) = -q**3 + 6*q**2 + 19*q - 9. Let j be l(8). Suppose 7 = -4*y + j. Factor 16*v**3 - 1 + 0 + 8*v + 16*v - 3 - 36*v**y.
4*(v - 1)**2*(4*v - 1)
Suppose 382 = 14*p - 12*p. Let g = 195 - p. Determine s, given that -3/4*s**g - 9/4*s**3 + 9/4*s + 3/2 - 3/4*s**2 = 0.
-2, -1, 1
Let y(i) be the third derivative of 0*i**4 + 55*i**2 + 0*i + 1/30*i**5 + 0 + 0*i**6 + 0*i**3 - 1/105*i**7. Factor y(q).
-2*q**2*(q - 1)*(q + 1)
Let a(z) be the second derivative of -z**8/168 - z**7/168 + z**6/9 + z**5/6 - 7*z**3/3 - 32*z. Let u(p) be the second derivative of a(p). Factor u(t).
-5*t*(t - 2)*(t + 2)*(2*t + 1)
Let b(x) be the first derivative of -x**6/280 + x**4/56 + x**2 + 29. Let c(y) be the second derivative of b(y). Suppose c(s) = 0. What is s?
-1, 0, 1
Let x(p) be the first derivative of 2*p**6/21 - 4*p**5/35 - 5*p**4/7 - 4*p**3/7 + 82. Factor x(g).
4*g**2*(g - 3)*(g + 1)**2/7
Let l(m) = 2*m**2 - 2*m + 2. Suppose -4*r + 8*r = 4. Let b be l(r). Factor -18 + 5*s - 9 - 3*s**b - 23*s.
-3*(s + 3)**2
Suppose 5*l = -4*m - 9, 2*l + 6 = 12*m - 14*m. Find b such that -7/5*b - 1/5*b**l - 3/5 - b**2 = 0.
-3, -1
Let l(i) be the first derivative of 3*i**4/20 - 149*i**3/5 + 8436*i**2/5 - 16428*i/5 - 28. Solve l(b) = 0 for b.
1, 74
Let v be 8/(-8) - -4*1. Factor -2*p**4 - 4*p**v - 3*p**5 + 6*p**4 + 3*p**3.
-p**3*(p - 1)*(3*p - 1)
Let b(z) be the first derivative of z**4/20 - 3*z**2/10 + 10*z - 37. Let q(i) be the first derivative of b(i). Let q(x) = 0. What is x?
-1, 1
Suppose 20*x + 4*x**4 + x**4 - 6*x**2 - 4*x**3 + 16 - 3*x**4 - 4*x**3 = 0. What is x?
-1, 2, 4
Suppose -4 = h + 2*z, -h + 3*h + z - 1 = 0. Factor -9*c + 25*c - 16 - 4*c**2 + 0*c**h.
-4*(c - 2)**2
Suppose -9/4*q**4 - 7/4*q**3 + 7/4*q + 11/4*q**2 - 1/2 = 0. What is q?
-1, 2/9, 1
Let l = 3 - 3. Suppose -b = 1, 2*n + 2*b - 3*b - 5 = l. Suppose o + 17 + n*o**2 + o - 2*o**3 - 19 = 0. What is o?
-1, 1
Let n(o) = -5*o**4 - o**3 + 5*o**2 + 5*o + 2. Let v(u) = -5*u - 2*u**2 + 6*u**4 - 3 - u - 4*u**2. Let t(b) = 3*n(b) + 2*v(b). What is a in t(a) = 0?
-1, 0, 1
Let m(x) = -46*x - 595. Let u be m(-13). What is i in -5/4*i**4 - 5/4 + 5/2*i**2 + 0*i + 0*i**u = 0?
-1, 1
Let w(x) be the third derivative of x**9/3024 + x**8/1344 + 7*x**4/8 - 26*x**2. Let o(g) be the second derivative of w(g). Determine c, given that o(c) = 0.
-1, 0
Suppose 4*h + 28 = 6*h. Factor -2*x**2 + 4*x - 5 - h*x - 3*x**2.
-5*(x + 1)**2
Let j be ((-85)/(-20) - 3) + -1. Solve -1/4*x**3 - j*x**2 + 0 + 0*x = 0.
-1, 0
Let z = 2152 + -2149. Factor 3*m**2 + 3/2*m**5 + 0*m**4 + 0 - 9/2*m**z + 0*m.
3*m**2*(m - 1)**2*(m + 2)/2
Let -5*c**3 - 135*c + 10*c**3 + 135 + 135 = 0. Calculate c.
-6, 3
Let u(p) be the third derivative of -1/6*p**4 + 0*p - 1/70*p**5 - 8/21*p**3 + 0 - 10*p**2. Factor u(x).
-2*(x + 4)*(3*x + 2)/7
Let l(o) = 56*o**5 - 91*o**4 + 13*o**3 + 11*o**2. Let i(s) = 19*s**5 - 30*s**4 + 4*s**3 + 4*s**2. Let w(q) = -11*i(q) + 4*l(q). Factor w(x).
x**3*(x - 2)*(15*x - 4)
Let i(z) be the third derivative of 5*z**8/336 - 19*z**7/14 + 55*z**6/12 + 13*z**2. Factor i(l).
5*l**3*(l - 55)*(l - 2)
Let u(q) be the first derivative of q**4/60 + q**3/15 + q**2/10 - 2*q + 11. Let k(g) be the first derivative of u(g). Determine f so that k(f) = 0.
-1
Suppose 1081 = -8*d - 607. Let w = 635/3 + d. Factor 0 + 0*m**2 + 2/3*m + w*m**5 - 4/3*m**3 + 0*m**4.
2*m*(m - 1)**2*(m + 1)**2/3
Let n(b) be the first derivative of -b**6/6 + 36*b**5/5 - 143*b**4/2 - 228*b**3 - 361*b**2/2 - 80. Factor n(g).
-g*(g - 19)**2*(g + 1)**2
Let h(z) be the first derivative of 8/7*z**2 + 4/21*z**3 - 20/7*z - 9. Find w, given that h(w) = 0.
-5, 1
Let t(x) = 31*x**2 + 151*x + 4. Let y(d) = -55*d**2 - 301*d - 7. Let m(l) = 7*t(l) + 4*y(l). What is p in m(p) = 0?
-49, 0
Let z(l) be the third derivative of -2*l**7/945 - l**6/540 - 38*l**2. Determine v, given that z(v) = 0.
-1/2, 0
Let g(b) be the first derivative of b**7/315 + 7*b**6/270 + b**5/45 - b**4/6 - 7*b**3/3 + 24. Let s(d) be the third derivative of g(d). Solve s(q) = 0.
-3, -1, 1/2
Let g(w) = -w + 5. Let a be g(0). Solve 6*u**5 - 2*u**a + 4*u**3 + 8*u**4 + 6*u**5 - 6*u**5 = 0 for u.
-1, 0
Let b = -215 + 1937/9. Let w(q) be the first derivative of 3 + 1/12*q**4 + 0*q + 0*q**2 + b*q**3. Factor w(u).
u**2*(u + 2)/3
Let d(i) be the third derivative of -1/1050*i**7 + 0*i**3 + 0 + 20*i**2 + 0*i + 0*i**4 - 1/75*i**5 + 1/150*i**6. Solve d(o) = 0.
0, 2
Let u(n) be the third derivative of -n**6/300 + n**5/25 + 21*n**4/20 + 36*n**3/5 + 70*n**2 - 4*n. Determine h so that u(h) = 0.
-3, 12
Let v(z) be the second derivative of 0 - 3/20*z**5 + 0*z**2 - 1/4*z**4 - 28*z + 0*z**3. Let v(c) = 0. What is c?
-1, 0
Solve 19/2*y - 7 + 3/2*y**2 = 0 for y.
-7, 2/3
Let t be 3*2*1/(-6). Let l = 1 - t. Factor 4*k**3 + k**4 + 2*k**2 - 3*k**l - k**3 - 3*k**5 + 2*k**5 - 2*k.
-k*(k - 2)*(k - 1)*(k + 1)**2
Let p = 910 + -95548/105. Let n(c) be the third derivative of -1/15*c**5 + 0*c + 0*c**3 + 1/15*c**6 - 6*c**2 + p*c**7 + 0 - 1/3*c**4. Factor n(v).
4*v*(v - 1)*(v + 1)*(v + 2)
Let u(k) be the first derivative of k**8/1680 + k**7/420 + k**6/360 - 4*k**3/3 - 4. Let f(j) be the third derivative of u(j). What is r in f(r) = 0?
-1, 0
Let d(r) be the first derivative of 3*r**5/10 - 27*r**4/2 - r**3/2 + 27*r**2 - 290. Determine x so that d(x) = 0.
-1, 0, 1, 36
Let x(z) be the third derivative of z**7/840 - z**6/60 - z**5/240 + z**4/12 - 37*z**2. Suppose x(w) = 0. Calculate w.
-1, 0, 1, 8
Let z(k) = 9*k**2 - 30*k - 75. Let m(o) = 583*o - o**2 - 583*o. Let u(i) = -12*m(i) - z(i). Solve u(x) = 0.
-5
Let t(w) = w**2 - 9*w + 12. Let n = 8 + 0. Let p be t(n). Solve 5*k**4 + 2*k + 12*k**3 + 5*k - k - 2*k**p + 15*k**2 = 0 for k.
-2, -1, 0
Suppose 52*p**4 + 144*p**5 + 15*p**3 + 74*p**4 + 4*p**2 - 30*p**4 - 59*p**3 = 0. Calculate p.
-1, 0, 1/6
Let p be (-12)/10*65/(-39). D