**3/5 + h**2. Factor j(p).
-3*(p + 1)*(11*p - 2)**2/5
Let b(u) be the second derivative of u**6/195 - 11*u**5/130 + 5*u**4/39 - 39*u. Factor b(l).
2*l**2*(l - 10)*(l - 1)/13
Let x be (4/96*20)/(5/3). Solve 1/2*v**3 + 3/2*v - x - 3/2*v**2 = 0.
1
Solve 25/3*a**2 + 3 + 10*a = 0.
-3/5
Let t(m) = m**2 - 7*m - 7. Let l be t(8). Let y be (l/2)/(8/48). Determine i, given that 0*i - 1/2*i**y + 0 + 1/4*i**2 + 1/4*i**4 = 0.
0, 1
Let i = -37 + 22. Let p = -44/3 - i. What is r in -1/3*r**3 - p*r**2 + 1/3*r + 1/3 = 0?
-1, 1
Suppose 5*t + 7 = 3*v, -2*t + 0 = -v + 2. Suppose 2/3 + 31/3*q**2 + 5*q + v*q**3 = 0. What is q?
-2, -1/3, -1/4
Let g(v) be the first derivative of 1/10*v**5 + 0*v**2 - 1/2*v**4 + 0*v - 2 + 2/3*v**3. Let g(a) = 0. Calculate a.
0, 2
Let l be 1/4*0*1. Let o = 147 + -1321/9. Factor l + 0*w - o*w**2.
-2*w**2/9
Let m(x) = -3*x**3 + 24*x**2 + 27*x + 11. Let c(i) = -2*i**3 + 23*i**2 + 26*i + 10. Let o(f) = -7*c(f) + 6*m(f). Find h, given that o(h) = 0.
-2, -1/4
Suppose 3*l = -2*l + z + 5, -9 = 3*l - 3*z. Let x(n) be the first derivative of 3 - 2/27*n**3 - 8/9*n + 4/9*n**l. Let x(y) = 0. Calculate y.
2
Let y be (-16)/136 - 2/(-17). Determine w, given that y*w**2 + 1/3*w**4 + 1/3*w**5 + 0*w**3 + 0*w + 0 = 0.
-1, 0
Factor -1/3*b + 0 - 7/6*b**3 - 3/2*b**2.
-b*(b + 1)*(7*b + 2)/6
Factor -2/9*q**3 + 2/9*q**2 - 2/9*q**4 + 2/9*q + 0.
-2*q*(q - 1)*(q + 1)**2/9
Let s(n) be the third derivative of n**8/23520 - n**7/8820 + n**4/8 - n**2. Let f(p) be the second derivative of s(p). Factor f(r).
2*r**2*(r - 1)/7
Find v such that -3*v - 4 - 3*v + v - v**2 = 0.
-4, -1
Let t(m) be the second derivative of 0*m**3 - 3/10*m**6 + 0 + 0*m**2 - 1/3*m**4 - 5*m + 3/5*m**5. Factor t(o).
-o**2*(3*o - 2)**2
Let f be (-17)/(-3 + (-1 - -5)). Let h be f/(-4)*(-3)/(-3). Find g, given that 21/4*g**2 + 11/4*g + 1/2 + 5/4*g**4 + h*g**3 = 0.
-1, -2/5
Let g(i) be the third derivative of -1/15*i**4 + 1/75*i**6 - 7*i**2 + 0*i + 0*i**3 - 1/75*i**5 + 0 + 2/525*i**7. Solve g(s) = 0 for s.
-2, -1, 0, 1
Let t(u) be the second derivative of u**6/105 - u**4/42 - 5*u. Factor t(r).
2*r**2*(r - 1)*(r + 1)/7
Let p(q) be the third derivative of 0*q**7 - 1/168*q**8 + 0*q**5 + 0 - 5*q**2 + 0*q**4 + 0*q + 0*q**3 + 1/60*q**6. Determine j, given that p(j) = 0.
-1, 0, 1
Find u such that -9*u**3 - 23*u**2 + 21*u + 8*u**2 - 5*u**3 + 2*u**3 + 6 = 0.
-2, -1/4, 1
Let d(m) be the first derivative of -1 - 1/11*m**2 + 0*m - 2/33*m**3 + 1/11*m**4. Suppose d(y) = 0. Calculate y.
-1/2, 0, 1
Let f(x) = -7*x**3 - 4*x**2 + 7*x + 4. Let t(b) = -3*b**3 - 2*b**2 + 3*b + 2. Let d(u) = -2*f(u) + 5*t(u). Factor d(l).
-(l - 1)*(l + 1)*(l + 2)
Let z(k) be the third derivative of 0*k + 0 + 0*k**3 - 1/30*k**5 + 0*k**4 + 1/60*k**6 + 2*k**2. Find m such that z(m) = 0.
0, 1
Let x = -25 + 30. Let g(t) be the third derivative of 1/120*t**6 + 0*t - 1/24*t**4 + 1/90*t**x + 0 + 2*t**2 - 1/9*t**3. Factor g(n).
(n - 1)*(n + 1)*(3*n + 2)/3
Let u(o) be the second derivative of o**7/12600 - o**6/3600 - o**5/300 + o**4/12 - 2*o. Let q(t) be the third derivative of u(t). Factor q(h).
(h - 2)*(h + 1)/5
Let j(i) = -392*i**2 + 224*i - 32. Let p(c) = 196*c**2 - 112*c + 16. Let g(r) = -6*j(r) - 11*p(r). Determine d so that g(d) = 0.
2/7
Suppose -i = 3*t - 42 - 14, -t - i + 22 = 0. Let p = t - 15. Factor 3/2*n**3 - 1/2*n + n**p + 0.
n*(n + 1)*(3*n - 1)/2
Let s(g) = g - 1. Let b(i) = -i**2 - 4*i + 5. Suppose 4*r = -3*l - 1, l - 2 + 4 = -3*r. Let w(f) = l*b(f) + 3*s(f). What is a in w(a) = 0?
-2, 1
Solve -v**2 + 7*v + 0*v**3 - 2*v**2 + 2*v - 2 - 4*v**3 = 0 for v.
-2, 1/4, 1
Suppose 2*l = -10, u + 3 = l - 3*l. Find j such that -3*j**5 + 7*j**2 - 2*j**5 + 0*j**5 + 3*j**3 + 2*j - u*j**4 = 0.
-1, -2/5, 0, 1
Let o(j) = -j**2 - j + 2. Let x be o(-2). Suppose x = b - 3*p + 5, 0 = 4*b - p - 2*p + 2. Find l, given that -2*l**2 - 4*l**3 - 3*l**3 - b + 1 = 0.
-2/7, 0
Let w(l) be the second derivative of l**8/112 + l**7/70 - 3*l**6/40 - l**5/4 - l**4/4 + l**2/2 + 3*l. Let f(d) be the first derivative of w(d). Factor f(y).
3*y*(y - 2)*(y + 1)**3
Let h = 21 + -19. Factor -h*c**5 - 19*c**2 + 9*c**2 + 2*c**3 + 10*c**2.
-2*c**3*(c - 1)*(c + 1)
Let x(u) be the first derivative of -u**6/2 + 9*u**4/4 + 2*u**3 + 9. Solve x(b) = 0 for b.
-1, 0, 2
Let a(t) be the third derivative of -2*t**6/15 + t**5 - 2*t**4 - 8*t**3/3 + 4*t**2. Suppose a(f) = 0. Calculate f.
-1/4, 2
Let d(o) be the first derivative of -o**8/2940 + o**7/1470 + 4*o**3/3 - 7. Let t(i) be the third derivative of d(i). Suppose t(j) = 0. What is j?
0, 1
Solve 3/5*w**2 + w - 1/5*w**3 + 2/5 - 1/5*w**4 = 0 for w.
-1, 2
Let x(p) be the first derivative of p**4/42 + p**3/21 - 2*p + 3. Let b(w) be the first derivative of x(w). Solve b(a) = 0 for a.
-1, 0
Let 6*d**2 + 21*d**3 - 18*d**3 - 11*d - 24 - d = 0. What is d?
-2, 2
What is c in -3/2*c**3 + 3/4 + 3/2*c + 0*c**2 - 3/4*c**4 = 0?
-1, 1
Let p(c) be the first derivative of c**5/5 - c**4/4 - c**3/3 + c**2/2 + 8. Factor p(d).
d*(d - 1)**2*(d + 1)
Let x(j) = 3*j**3 + 9*j**2 + 3 - 9*j**2 - 2. Let b be x(1). Let -7/4*f**2 - 23/4*f**3 + 2*f**b + 7/4*f + 4*f**5 - 1/4 = 0. What is f?
-1, 1/4, 1
Suppose z = -0*z + 4. Factor 7*q**2 + 2*q + 2*q**2 - z*q**2 + q**2.
2*q*(3*q + 1)
Let j = -111/7 - -1457/91. Solve 0 - 2/13*x**4 + j*x**3 + 2/13*x**2 - 2/13*x = 0 for x.
-1, 0, 1
Let q(t) = 5*t**2 - 10*t. Let d(p) = 3*p**2 - 5*p. Let h(o) = -5*d(o) + 2*q(o). Suppose h(s) = 0. What is s?
0, 1
Let s(y) be the first derivative of 4/5*y**5 - 4*y**3 - 11/2*y**2 - 8 - 2*y + 1/4*y**4. Factor s(a).
(a - 2)*(a + 1)**2*(4*a + 1)
Let j be (44/(-14))/(-2) + (-4 - -3). Find n, given that 2/7*n - j + 2/7*n**2 = 0.
-2, 1
Solve -2*d**4 - d**5 - 9*d + 7*d + 3*d + 2*d**2 = 0.
-1, 0, 1
Let l(b) = -b. Let m be l(-3). Let f be 30/(-36) - 6/(-4). Solve -f*k**m + 0*k**2 + 2/3*k + 0 = 0.
-1, 0, 1
Let a = -112/15 + 136/15. Factor -16/5*o + 2*o**2 - a.
2*(o - 2)*(5*o + 2)/5
Let a(m) be the first derivative of 2 + 7/10*m**5 + 1/4*m**4 + 0*m**3 + 0*m**2 + 5/12*m**6 + 0*m. Determine t, given that a(t) = 0.
-1, -2/5, 0
Let y(t) be the first derivative of t**6/150 - t**4/20 + t**3/15 + 2*t - 2. Let d(s) be the first derivative of y(s). Find i, given that d(i) = 0.
-2, 0, 1
Let g = -76 - -51. Let p = -73/3 - g. Find d, given that 0*d + 2/3*d**2 + 0 + p*d**3 = 0.
-1, 0
Let h(i) = 5*i**3 + i**2 - 3. Let u(g) = -4*g**3 + 1 + 4 - 3. Let d be 2*-1 - (4 - 4). Let q(a) = d*h(a) - 3*u(a). Factor q(v).
2*v**2*(v - 1)
Let f(x) be the third derivative of x**5/12 - 5*x**4/4 + 15*x**3/2 + 14*x**2. Factor f(l).
5*(l - 3)**2
Let h be (2/(-6))/(8/(-144)). Let i(s) = s**2 - 4*s - 7. Let y be i(h). Factor -2*q**y + 2*q**3 + 2*q**2 + 8 - 2*q**4 - 8.
-2*q**2*(q - 1)*(q + 1)**2
Let d be -5 - (-20)/(10 - 6). Factor -2/3*n**4 + 2/3*n**3 - 2/3*n + d + 2/3*n**2.
-2*n*(n - 1)**2*(n + 1)/3
Let g(t) be the second derivative of t**5/80 + t**4/16 + t**3/12 - t. Factor g(u).
u*(u + 1)*(u + 2)/4
Let s be ((-54)/8)/(201/(-134)). Factor 0 - s*a**2 - 9/2*a**3 - 3/2*a**4 - 3/2*a.
-3*a*(a + 1)**3/2
Let q(o) = 3*o**2 - 5*o + 2. Let u(l) = -l**2 + 1. Let n(p) = 5*q(p) - 5*u(p). Factor n(d).
5*(d - 1)*(4*d - 1)
Let y = -474 - -949/2. Factor -y*z**4 + 1/4*z + 0*z**3 + 0 - 1/4*z**5 + 1/2*z**2.
-z*(z - 1)*(z + 1)**3/4
Determine w, given that 41 - 8*w - 41 + 2*w**2 = 0.
0, 4
Let g(k) be the second derivative of 4/5*k**5 + 2/3*k**4 + 0 + 0*k**3 - 7/3*k**6 + 0*k**2 - 25/7*k**7 + 3*k. Factor g(t).
-2*t**2*(3*t - 1)*(5*t + 2)**2
Let i = 28 + -82/3. Find t such that 0*t**4 + 0*t**2 + i*t**3 + 0 - 2/3*t**5 + 0*t = 0.
-1, 0, 1
Suppose -3*t + t - 2 = 0. Let k(v) = -3*v + 1. Let d be k(t). Solve 1 + g**2 + 0 + d*g - 2*g = 0 for g.
-1
Let k(i) be the third derivative of -i**5/15 - i**4/2 - 4*i**3/3 + 8*i**2. Suppose k(q) = 0. Calculate q.
-2, -1
Let v(y) be the third derivative of -y**7/630 + y**6/360 + y**5/180 - y**4/72 - 2*y**2. Factor v(l).
-l*(l - 1)**2*(l + 1)/3
Let l(s) = -s**2 - s**3 + 5*s**3 - s - 3*s**3 - 1. Let z(p) = -3*p**3 + 2 + 3*p + p + p**2 - 2*p. Let f(h) = -2*l(h) - z(h). Find n such that f(n) = 0.
-1, 0
Let r(c) be the first derivative of 1/6*c**4 - 3 + 1/9*c**3 + 0*c - 1/15*c**5 - 1/3*c**2. Let r(w) = 0. Calculate w.
-1, 0, 1, 2
Let s(z) be the third derivative of z**8/1680 - z**6/360 - z**3/2 - z**2. Let t(m) be the first derivative of s