*d**2 - 23 = 0. Calculate d.
-1, 30/11
Suppose -9*i = -10*i + 4. Let q = i + -4. Let -1 + 4*b + 0*b**2 - b**2 + q*b - 2 = 0. Calculate b.
1, 3
Solve 0*x**2 - 4/3*x**3 - 46/15*x**4 + 2/3*x**5 + 0 + 0*x = 0.
-2/5, 0, 5
Let t(m) = 2*m**3 - 11*m**2 + 11*m + 3. Let k be t(4). Let i be (105/(-42))/((1 + 1)/k). Determine d so that 1/4*d**2 + 1 + i*d = 0.
-4, -1
Let i(n) be the third derivative of -n**6/420 - 2*n**5/21 - 23*n**4/21 - 16*n**3/3 - 94*n**2. Factor i(w).
-2*(w + 2)*(w + 4)*(w + 14)/7
Let u be 4*-1*(9 + -12). Suppose 36 - 79*z**3 + 0*z**5 - 56*z**2 + 4*z**5 - u*z + 14*z**4 + 6*z**4 + 87*z**3 = 0. Calculate z.
-3, -1, 1
Let a(o) be the first derivative of -o**6/6 + o**5/4 + 108*o - 45. Let u(l) be the first derivative of a(l). Factor u(r).
-5*r**3*(r - 1)
Let p(v) be the second derivative of -67*v + 0*v**2 - 2*v**3 + 2*v**4 - 3/4*v**5 + 0 + 1/10*v**6. Factor p(j).
3*j*(j - 2)**2*(j - 1)
Let h(i) be the third derivative of -i**7/315 - i**6/10 + 107*i**5/90 - 5*i**4 + 92*i**3/9 + i**2 + 8*i + 358. Suppose h(r) = 0. What is r?
-23, 1, 2
Let b be (-6)/(1 + 0) + 17. What is j in b + 378*j**2 + 13 + 105*j + 147*j**3 + 75*j = 0?
-2, -2/7
Let w(f) be the second derivative of 28*f + 0 + 32/33*f**3 - 7/66*f**4 + 15/11*f**2. Solve w(q) = 0.
-3/7, 5
Let r = 56236191/3859345 - 3/551335. Let r*n + 50/7 + 2/7*n**3 + 54/7*n**2 = 0. What is n?
-25, -1
Let o(z) be the first derivative of z**6/720 + z**5/120 - 77*z**2/2 - 180. Let a(t) be the second derivative of o(t). Let a(w) = 0. What is w?
-3, 0
Let x(a) = 36*a + 86 - 30 + a**2 - 63*a. Let q(o) = 6*o**2 - 136*o + 280. Let t(s) = -3*q(s) + 16*x(s). Solve t(h) = 0.
-14, 2
Suppose -21 = -m + 4*r, -m = -5*m + 2*r + 42. Let d = -511 - -511. What is v in 2*v**2 + d*v**2 + 3 + v**2 - 3*v + m*v = 0?
-1
Let p = 72 - 48. Suppose -l - 18 = -2*r, 3*r - 4*l - p = r. Factor -r*v**3 - 7*v + v**5 + 11*v + 3*v**5.
4*v*(v - 1)**2*(v + 1)**2
Let v(l) be the second derivative of 17 - 1/54*l**4 - l - 7/27*l**3 + 8/9*l**2. Solve v(i) = 0.
-8, 1
Let l(u) be the first derivative of -u**3/2 - 69*u**2/4 - 299. Determine c so that l(c) = 0.
-23, 0
Suppose -24 = h - t - 28, 4*t = h - 16. Let u(m) be the first derivative of h*m**3 + 1/20*m**4 - 12 + 0*m - 1/10*m**2. Suppose u(s) = 0. Calculate s.
-1, 0, 1
Let d(q) be the second derivative of -q**7/840 + q**6/30 + 17*q**4/4 + 102*q - 2. Let u(l) be the third derivative of d(l). Factor u(a).
-3*a*(a - 8)
Suppose -s**2 + 8/3 - 5/3*s**4 - 22/3*s + 22/3*s**3 = 0. Calculate s.
-1, 2/5, 1, 4
Solve -48/5*f**2 + 3/5*f**3 + 150 - 141*f = 0 for f.
-10, 1, 25
Let i(g) be the first derivative of 0*g**2 + 0*g**4 - g**5 - 74 + 0*g - 5/6*g**6 + 0*g**3. Factor i(p).
-5*p**4*(p + 1)
Let p be (1 - (2 - -1)) + 1. Let r(z) = -6*z - 2. Let q be r(p). Factor -2*s**4 - q*s**3 - 18*s + 0*s**3 - 10*s**3 - 34*s**2 + 4*s**2.
-2*s*(s + 1)*(s + 3)**2
Let v(p) be the first derivative of 2*p**6/3 - 4*p**5/5 - 7*p**4 + 52*p**3/3 - 12*p**2 - 1632. Factor v(c).
4*c*(c - 2)*(c - 1)**2*(c + 3)
Let p(k) be the first derivative of k**6/30 + 7*k**5/25 - 53*k**4/10 + 218*k**3/15 + 21*k**2/2 - 45*k + 5051. Determine x, given that p(x) = 0.
-15, -1, 1, 3, 5
Factor -551*g**2 - 1062*g + 1141*g**3 + 13*g**4 - 1093*g**3 - 648 + 153*g**2 + 19*g**4.
2*(g - 4)*(g + 1)*(4*g + 9)**2
Let u(i) = 20*i**2 + 5*i - 855. Let m(g) = -g**2 + g + 28. Let z(s) = 30*m(s) + u(s). Factor z(k).
-5*(k - 3)*(2*k - 1)
Let s(z) be the second derivative of -z**8/2240 - 3*z**7/280 + z**6/24 + 23*z**4/4 + z**2 - 2*z + 15. Let u(h) be the third derivative of s(h). Factor u(i).
-3*i*(i - 1)*(i + 10)
Solve -4/11*r**5 + 16/11*r + 38/11*r**4 + 130/11 - 392/11*r**2 + 212/11*r**3 = 0.
-5, -1/2, 1, 13
Let o(v) = -14*v**2 - 330*v - 862. Let w be o(-3). Let 58/7*b + 26/7*b**w - 2/7*b**3 + 30/7 = 0. What is b?
-1, 15
Let y(i) be the second derivative of -i**7/98 - 19*i**6/6 - 598*i**5/35 + 47*i**4/3 + 872*i**3/21 - 102*i + 12. Suppose y(p) = 0. What is p?
-218, -4, -2/3, 0, 1
Let v(l) be the third derivative of -l**7/420 - 29*l**6/40 + 117*l**5/40 - 11*l**4/3 - 1085*l**2 + 3*l. Factor v(j).
-j*(j - 1)**2*(j + 176)/2
Let i = -10703 + 10707. Let k(p) be the second derivative of -2/45*p**6 + 0 + 1/3*p**5 - 8/9*p**3 - 2/3*p**i + 47*p + 16/3*p**2. Factor k(c).
-4*(c - 2)**3*(c + 1)/3
Let 1305/2*c - 5/2*c**2 + 1315 = 0. Calculate c.
-2, 263
Let p be -1 - (-3)/2*2. Let q = 4209/6280 - 67/18840. Let -7/2*k**5 + 43/6*k**4 + 0*k - q*k**p + 0*k**3 + 0 = 0. Calculate k.
-2/7, 0, 1/3, 2
Let f(m) = m**3 + 3*m**2 - 2*m + 1. Let d(y) = -6*y**4 + 9*y**3 - 5*y**2 - 7*y + 3. Let n(s) = -3*d(s) - 6*f(s). Factor n(a).
3*(a - 1)**2*(a + 1)*(6*a - 5)
Let s(z) be the third derivative of z**5/120 + 17*z**4/16 - 27*z**3/2 + z**2 + 21*z. Determine g so that s(g) = 0.
-54, 3
Let p = 79 - 39. Let v = 42 - p. Factor -v*d**2 + 0*d - 59 + 55 + 6*d.
-2*(d - 2)*(d - 1)
Let t = 113 - 111. Determine p so that -8 - 27*p**2 - 27*p**2 + 56*p**t = 0.
-2, 2
Let r(p) be the second derivative of -7*p**4/15 + 1502*p**3/15 - 428*p**2/5 - p - 126. Factor r(s).
-4*(s - 107)*(7*s - 2)/5
Let w(x) be the third derivative of 1/10*x**5 - 5*x**2 - 1/420*x**6 + 49/3*x**3 + 0 - 7/4*x**4 + 0*x. Find z, given that w(z) = 0.
7
Suppose 203*b - 160*b = 0. Let x(j) be the second derivative of 0*j**4 + 0 - 2/45*j**6 + b*j**3 + 1/15*j**5 + 0*j**2 + 14*j. Suppose x(s) = 0. What is s?
0, 1
Suppose 21 - 6 + 20 + 10*s**2 - 72 - 126*s - 15 = 0. What is s?
-2/5, 13
Let p = 24/53 + -1762/3657. Let m = 16/23 + p. Find u, given that 1/3*u**3 - m*u + 1/3*u**2 + 0 = 0.
-2, 0, 1
Let i be ((1323/(-84) + 15)/9)/((-34)/24 - -1). Factor -i*p + 1/5*p**2 - 2/5.
(p - 2)*(p + 1)/5
Let p(h) be the third derivative of -5*h**4/24 + 19*h**3/3 + 34*h**2. Let k be p(7). What is m in 12*m**2 - m**3 - 3*m**3 + 11*m**k - 3*m**3 - 16 = 0?
-2, 1
Find r such that -5117*r**2 + 1040 + 5112*r**2 - 114*r + 624*r = 0.
-2, 104
Let r = -94137 - -282413/3. Solve 16*v + 2*v**2 - r*v**3 + 56/3 = 0 for v.
-2, 7
Suppose -18*a - 1126 = -3808. Factor 5*c**5 + 37*c - 37*c + a*c**3 - 154*c**3.
5*c**3*(c - 1)*(c + 1)
Let u(j) be the second derivative of -14*j**3/3 - 418*j**2 - 2*j - 364. Let o be u(-30). What is p in 4/7*p - p**o - 9/7*p**3 + 12/7*p**2 + 0 = 0?
-2, -2/7, 0, 1
Let q(t) = 2*t**2 - 4*t - 4. Suppose 0 = -22*x - 35 - 53. Let w(a) = 4*a - 1 + 1 + 3 - a**2. Let z(f) = x*w(f) - 3*q(f). Find s, given that z(s) = 0.
-2, 0
Suppose -2*n - 5*v + 326 = 0, -2*n + 451 - 137 = 2*v. Let p be 27/(-45) + n/5. Factor -5*q**3 + 2*q**2 - 30 + p - 7*q**4.
-q**2*(q + 1)*(7*q - 2)
Let n(z) = -42*z + 52. Let x be n(1). Let u be (x + 114/(-12))*2/3. Factor u*r**3 + 5/3*r - 2/3 - 4/3*r**2.
(r - 2)*(r - 1)**2/3
Let v(y) = -y**3 + 117*y**2 + 868*y + 2. Let i be v(124). Find l such that -l**i - 32/3 - 50/3*l = 0.
-16, -2/3
Let b(h) be the first derivative of 9/8*h**2 + 1/12*h**3 - 5/2*h - 45. Factor b(s).
(s - 1)*(s + 10)/4
Let d(t) be the third derivative of -t**6/400 + 127*t**5/300 + 29*t**4/80 - 17*t**3/6 + 407*t**2 - t. Suppose d(b) = 0. What is b?
-1, 2/3, 85
Let z = 347058 - 347055. Suppose -56/9*k**2 + 0 - 50/9*k**5 - 140/9*k**4 - 46/3*k**z - 8/9*k = 0. Calculate k.
-1, -2/5, 0
Suppose 11 = 4*k + 3. Let a be (2/4)/((2/20)/1). Factor -9*r**2 + 15*r**3 + 18*r**k + a*r**4 + 5*r + 6*r**2.
5*r*(r + 1)**3
Let v(k) be the third derivative of k**8/7560 - k**6/1620 + 59*k**3/3 - 85*k**2. Let g(j) be the first derivative of v(j). Find h such that g(h) = 0.
-1, 0, 1
Let a = 5345 - 5301. Let w(z) be the third derivative of a*z**2 + 0 - 1/20*z**6 + 0*z + 1/4*z**4 + 0*z**3 - 4/15*z**5. Suppose w(b) = 0. What is b?
-3, 0, 1/3
Let o(f) be the first derivative of 3*f**5/10 - f**4/4 - f**3/2 + f**2/2 + 2164. Factor o(j).
j*(j - 1)*(j + 1)*(3*j - 2)/2
Let a = -964/19 + 4896/95. Let 4*y - a*y**5 - 6/5 + 0*y**3 - 4*y**2 + 2*y**4 = 0. What is y?
-3/2, 1
Let q(i) be the second derivative of 1 - 1/3*i**3 - 81*i - 1/3*i**4 + 2/15*i**6 + 0*i**2 + 1/10*i**5. Factor q(p).
2*p*(p - 1)*(p + 1)*(2*p + 1)
Let h = 235 - 156. Suppose 29 = 4*z - h. Factor 218 + 3*g**2 - z*g - 15*g - 71.
3*(g - 7)**2
Let f(c) be the first derivative of -c**6/2 + 57*c**5/5 + 27*c**4/4 - 167*c**3 - 132*c**2 + 684*c + 664. Determine u, given that f(u) = 0.
-2, 1, 3, 19
Let t(y) be the first derivative of -y**4/18 - 40*y**3/9 - 400*y**