 + 15*t + 6. Let a(x) = -2*b(x) + 6*k(x). Solve a(w) = 0.
-3, -1
Let l(i) = -7*i - 55. Let g be l(-10). Factor 2*q**4 - 15*q**2 - q**4 - 6*q**4 + 14*q - g*q**3 - 19*q.
-5*q*(q + 1)**3
Let t be (-3 + (-7)/(-2))/(4 - (-138)/(-36)). Solve 6/13*r**t - 8/13*r + 8/13 - 10/13*r**2 = 0.
-1, 2/3, 2
Let t(q) = q**3 - 17*q**2 + 30*q + 2. Let z be t(15). Factor 0 - 2/3*x**3 + 2/3*x - x**z.
-x*(x + 2)*(2*x - 1)/3
Factor 2/5*k**2 + 476/5*k + 28322/5.
2*(k + 119)**2/5
Let i(y) be the third derivative of -y**5/240 + 47*y**4/48 - 426*y**2 + 1. Find v such that i(v) = 0.
0, 94
Suppose -t - 8328 = -7*t. Solve -25*c**2 + t*c - 1388*c + 5*c**4 + 20 = 0 for c.
-2, -1, 1, 2
Let t(n) = -3*n + 7. Let a(u) = -2*u + 5. Let p(c) = -7*a(c) + 5*t(c). Let f(s) = -12*s**2 - 33*s - 27. Let v(b) = f(b) + 3*p(b). Find w, given that v(w) = 0.
-3/2
Let a = -1422 - -1426. Let d(c) be the third derivative of 0*c + 0 - 9/16*c**a - 1/80*c**6 + 8*c**2 + 3/20*c**5 + 0*c**3. Let d(s) = 0. What is s?
0, 3
Let o(a) = a**2 - 44*a - 190. Let c be o(-4). Let n be (-2)/4*(1 - 4). Let 3/4*w + 3/4*w**3 + 0 + n*w**c = 0. What is w?
-1, 0
Let t(c) be the second derivative of -3*c**5/140 - 69*c**4/28 + 141*c**3/14 - 213*c**2/14 + 351*c. Suppose t(s) = 0. What is s?
-71, 1
Let r(p) be the first derivative of -3*p**4/4 - 8*p**3 - 39*p**2/2 - 18*p - 97. Solve r(c) = 0.
-6, -1
Let d = -159 + 159. Let a(j) be the first derivative of 0*j**3 - 1/8*j**2 + 1/16*j**4 + 3 + d*j. Factor a(q).
q*(q - 1)*(q + 1)/4
Let g be ((-12)/(-28))/(7/196*8). Factor s - g + 1/2*s**2.
(s - 1)*(s + 3)/2
Let k(y) be the first derivative of -y**5/30 - y**4/6 - y**3/3 + 5*y**2/2 + 3. Let g(n) be the second derivative of k(n). Factor g(w).
-2*(w + 1)**2
Let o = 2270 + -2267. Solve 6/13*j**2 - 4/13*j + 0 - 2/13*j**o = 0.
0, 1, 2
Let v(b) be the second derivative of b**6/15 - b**5/5 - b**4/6 + 2*b**3/3 + 32*b. Factor v(l).
2*l*(l - 2)*(l - 1)*(l + 1)
Suppose -9913*n + 12 = -9910*n. Find x such that n + 8/3*x**2 + 28/3*x = 0.
-3, -1/2
Let f(m) = -640*m - 13438. Let w be f(-21). Determine g, given that 0*g + w*g**2 + 2/3*g**3 + 0 = 0.
-3, 0
Suppose -2*p - 85 = 71. Let b = 82 + p. Factor 3/7*r**3 - 3/7*r - 1/7*r**2 - 1/7*r**b + 2/7.
-(r - 2)*(r - 1)**2*(r + 1)/7
Suppose -2*c - f = 3*f + 848, -2*f = -3*c - 1304. Let m be (c/4)/(-6)*2/4. Factor 9 - m*n + 3*n**2 - 1/3*n**3.
-(n - 3)**3/3
Let l be -3 + (0 - -6) - 7. Let x(o) = -4*o**3 - 2*o**2 + 6*o - 2. Let z(m) = m**4 + 12*m**3 + 6*m**2 - 19*m + 7. Let h(s) = l*z(s) - 14*x(s). Factor h(v).
-4*v*(v - 2)*(v - 1)*(v + 1)
Let f(p) be the third derivative of -1/4*p**4 + 0*p**3 + 0*p - 1/70*p**7 - p**2 + 1/20*p**5 + 1/20*p**6 + 0. Factor f(q).
-3*q*(q - 2)*(q - 1)*(q + 1)
Let b(y) be the first derivative of 5*y**7/42 - y**6/6 - y**5/4 + 5*y**4/12 - 15*y - 10. Let a(s) be the first derivative of b(s). Find q such that a(q) = 0.
-1, 0, 1
Let o(d) = d**4 + 47*d**3 + 484*d**2 + 6*d + 6. Let v(s) = -s**3 - 2*s - 2. Let f(h) = -5*o(h) - 15*v(h). Factor f(k).
-5*k**2*(k + 22)**2
Let w(d) be the first derivative of d**4/4 - 8*d**3/3 - 9*d**2/2 - 45. Solve w(s) = 0 for s.
-1, 0, 9
Let x(p) be the second derivative of p**7/420 - p**5/20 - p**4/6 - 23*p**3/6 + 23*p. Let t(s) be the second derivative of x(s). Factor t(h).
2*(h - 2)*(h + 1)**2
Let i(n) be the second derivative of -n**3 + 1/4*n**4 + 3/20*n**5 + 2*n + 0 + 0*n**2. Factor i(d).
3*d*(d - 1)*(d + 2)
Let n(y) be the first derivative of 0*y**3 + 0*y**5 + 1/4*y**6 - 3/8*y**4 + 0*y**2 - 14 + 0*y. Factor n(c).
3*c**3*(c - 1)*(c + 1)/2
Suppose 0 = -5*x + 4*k + 1027, -k - 2*k + 834 = 4*x. Suppose -4*d + 4 - 203*d**3 + 3*d**2 - 7*d**2 + x*d**3 = 0. Calculate d.
-1, 1
Let m(x) be the first derivative of -2*x**6/3 + 4*x**5 - 9*x**4 + 28*x**3/3 - 4*x**2 + 89. Factor m(g).
-4*g*(g - 2)*(g - 1)**3
Let a be (-17 - -3)/(-7 - -9). Let v be (-12)/a*(-77)/(-143). Determine j so that 16/13*j**3 - 18/13*j**5 + v*j**2 - 12/13*j**4 + 0 + 2/13*j = 0.
-1, -1/3, 0, 1
What is r in -40 - 5*r + 30*r**2 - r**2 + 5*r**3 + 11*r**2 = 0?
-8, -1, 1
Determine l, given that 18*l - 2*l**5 + 18*l - 48*l**4 + 4*l**5 + 120*l**3 + 2*l**5 - 112*l**2 = 0.
0, 1, 9
Let n(y) = y**4 + 2*y**3 + 2*y + 1. Let v(x) = x**5 + 5*x**4 + 5*x**3 - 2*x**2 + 6*x + 3. Let b(g) = -3*n(g) + v(g). Let b(q) = 0. What is q?
-2, -1, 0, 1
Let c(f) = 2*f**4 - f**3 - 3*f - 1. Let s(l) = 11*l**4 - 31*l**3 - 45*l**2 + 147*l - 94. Let m(q) = -4*c(q) + s(q). Solve m(n) = 0.
-3, 1, 10
Let x be (-161)/805 + (19/20)/1. Factor -3/4 + 3/4*g**3 - 3/4*g + x*g**2.
3*(g - 1)*(g + 1)**2/4
Let d(w) be the first derivative of 2*w**6/45 - 2*w**5/15 + w**4/9 - 10*w - 8. Let q(r) be the first derivative of d(r). Solve q(l) = 0.
0, 1
Suppose 0 = 3*n - 4*k - 0*k - 32, -2*k - 22 = -3*n. Suppose 2 - 49*i**4 - 4*i**3 + 8*i**2 - 2 + 45*i**n = 0. What is i?
-2, 0, 1
Factor -6/7*u + 0 + 3/7*u**3 - 3/7*u**2.
3*u*(u - 2)*(u + 1)/7
Suppose -5*r + 3 = -17. Let d be (-6 - (-4)/2)/(-2). Solve 5*z**3 + 0*z**d - 3*z**2 + 3*z**r - 5*z**3 = 0.
-1, 0, 1
Let r(q) be the third derivative of 0*q**3 - 1/64*q**4 + 7*q**2 + 1/96*q**5 + 0 + 0*q - 1/960*q**6 - 1/1680*q**7. Let r(g) = 0. What is g?
-3, 0, 1
Let 0*a - 5/2*a**2 + 5/2 = 0. What is a?
-1, 1
Let r(x) be the first derivative of -x**3/3 - x**2/2 + 12*x + 109. Let r(u) = 0. What is u?
-4, 3
Let r(x) be the first derivative of -15/16*x**4 + 3/20*x**5 + 31 + 0*x + 7/4*x**3 - 9/8*x**2. Determine h so that r(h) = 0.
0, 1, 3
Let p(g) = -4*g - 41. Let o be p(-11). Let 694*y**3 - 16*y**2 - o*y**4 + 7*y**4 - 682*y**3 = 0. Calculate y.
-4, 0, 1
Let y be (-99)/22*24/(-18). Let x(o) be the second derivative of 0*o**3 + 0*o**4 - 10*o + 1/30*o**y + 0 + 1/20*o**5 + 0*o**2. Factor x(g).
g**3*(g + 1)
Let k be 2 + 5 + 342/(-45) + 1. Factor 1/5*a**4 - 2/5*a**2 + 1/5*a + 1/5*a**5 + 1/5 - k*a**3.
(a - 1)**2*(a + 1)**3/5
Let f be (4 + 7 + 969/(-95))*(-6)/(-8). Determine d, given that -9/5*d + 6/5 + f*d**2 = 0.
1, 2
Suppose -15/2*f + 3/4*f**2 + 18 = 0. Calculate f.
4, 6
Suppose 5*o + 15 = 0, -23 = m + 4*o - 13. Factor -2/9*s**3 + 0*s**m + 2/9*s + 0.
-2*s*(s - 1)*(s + 1)/9
Let z(u) be the second derivative of -1/7*u**2 + 0 + 1/70*u**5 - 5*u - 1/21*u**3 - 2/105*u**6 + 1/14*u**4. Determine x so that z(x) = 0.
-1, -1/2, 1
Let c(d) be the second derivative of -7*d**4/36 - 5*d**3/9 - 132*d. Factor c(f).
-f*(7*f + 10)/3
Let q(s) be the second derivative of -s**7/504 + s**6/72 - s**4/12 + 9*s. Let o(m) be the third derivative of q(m). Factor o(z).
-5*z*(z - 2)
Let g(p) be the third derivative of p**5/8 + 605*p**4/48 - 205*p**3/6 + 506*p**2. Factor g(j).
5*(j + 41)*(3*j - 2)/2
Let i be (40/50)/(5 - 138/30). Factor -4/9*d**i + 0 - 2/9*d.
-2*d*(2*d + 1)/9
Let l(q) be the first derivative of q**4/9 + 10*q**3/9 + 8*q**2/3 + 27*q - 16. Let u(j) be the first derivative of l(j). Suppose u(v) = 0. Calculate v.
-4, -1
Suppose 2*z**2 + 0 + 12/7*z + 2/7*z**3 = 0. Calculate z.
-6, -1, 0
Let o = 661 - 4626/7. Factor 0 - o*r**4 + 4/7*r**3 + 2/7*r - 5/7*r**2.
-r*(r - 2)*(r - 1)**2/7
Let w(s) be the second derivative of -s**9/60480 - s**8/13440 + s**7/1440 - s**6/720 + 13*s**4/12 + 12*s. Let n(g) be the third derivative of w(g). Factor n(y).
-y*(y - 1)**2*(y + 4)/4
Let w = 79/174 + -7/58. Let v(i) be the first derivative of 2/3*i**2 + 2/27*i**3 - 2/9*i - w*i**4 - 2. Factor v(u).
-2*(u - 1)*(u + 1)*(6*u - 1)/9
Let w(i) be the first derivative of -28*i**2 + 22*i**3 + 32/5*i**5 + 8*i + 28*i**4 + 5. Determine n, given that w(n) = 0.
-2, 1/4
Let f be (247/(-5))/(2/(-5)) - 4. Let l = -118 + f. Let -1/6*z**2 - l + z = 0. What is z?
3
Let f be (6/(-3))/(-1) + 0/87. Factor 0 + b**3 + 0*b**f + 1/3*b**4 - 4/3*b.
b*(b - 1)*(b + 2)**2/3
Let j(o) be the first derivative of 2*o**3/3 + 3*o**2 - 20*o - 33. Factor j(a).
2*(a - 2)*(a + 5)
Let u be 3 - 145*14/770. Factor 2/11*k**4 - u*k - 10/11*k**2 + 2/11*k**5 + 0 - 6/11*k**3.
2*k*(k - 2)*(k + 1)**3/11
Let d(q) be the second derivative of 2*q**6/105 + 3*q**5/35 - q**4/21 - 2*q**3/7 + 719*q. Determine j, given that d(j) = 0.
-3, -1, 0, 1
Let v(m) = m**3 - 7*m**2 + 4*m - 7. Let l be v(7). Let r = -16 + l. Determine g so that 5*g**r - 6*g**3 - 8*g**3 + 5*g + 4*g**3 = 0.
-1, 0, 1
Let w(c) = -c**3 - 9*c**2 + 70*c. Let j be w(-14). Suppose 2/13*y**3 + j*y - 4/13*y**2 + 0 = 0. Calculate y.
0, 2
Factor -2/9*n**4 + 0