= 283/24 - i. Factor 0 + h**4 - k*h**2 - 2/3*h + 4/3*h**3.
h*(h - 1)*(h + 2)*(3*h + 1)/3
Suppose 0 = -2*s - 4*k + 168, -2*s + 384 = 3*s + k. Let u be s/20 - 1/(-5). Determine o, given that -4*o**3 + 2*o**4 - 5 + 0 + u*o + 2 + 1 = 0.
-1, 1
Let f(n) be the first derivative of n**4/4 - 52. Determine d, given that f(d) = 0.
0
Let y(k) be the first derivative of 4*k**3/15 + 2*k**2/5 - 3. Factor y(d).
4*d*(d + 1)/5
Let t(u) be the second derivative of -2*u**2 + 2*u + 0*u**3 + 1/36*u**4 + 1/90*u**5 + 0. Let h(j) be the first derivative of t(j). Let h(g) = 0. Calculate g.
-1, 0
Let x(z) be the second derivative of -z**7/6300 + z**5/300 - z**4/6 - 3*z. Let v(i) be the third derivative of x(i). Suppose v(f) = 0. What is f?
-1, 1
Let r(y) be the third derivative of 0*y**3 - 1/60*y**5 + 1/24*y**4 + 0*y - 6*y**2 + 0 - 1/120*y**6 + 1/210*y**7. Find q such that r(q) = 0.
-1, 0, 1
Let d = 682/117 - 70/13. Determine t, given that -8/9*t**2 - d + 2*t = 0.
1/4, 2
Factor -j - 15/8 - 1/8*j**2.
-(j + 3)*(j + 5)/8
Let l be (3/(-5))/((-1)/15). Factor -3*j - l*j**2 - 5*j - 10*j**3 - 2*j**4 + 0*j**3 - 7*j**2.
-2*j*(j + 1)*(j + 2)**2
Let v(p) be the second derivative of 7*p**5/180 + p**4/8 + p**3/9 + 3*p**2/2 - 2*p. Let z(k) be the first derivative of v(k). Let z(a) = 0. What is a?
-1, -2/7
Let f(o) be the second derivative of 0*o**2 - 1/80*o**5 + 1/24*o**3 + 3*o + 0 - 1/48*o**4 + 1/120*o**6. Factor f(r).
r*(r - 1)**2*(r + 1)/4
Let s(a) be the third derivative of a**6/420 + a**5/210 - a**4/42 - 3*a**2. Factor s(d).
2*d*(d - 1)*(d + 2)/7
Let k = 8 + -3. Suppose 0*a - z = 5*a - 17, k*a - 3*z = 29. Factor 2/3*h**2 + 0 - 2*h**3 + 2*h**a - 2/3*h**5 + 0*h.
-2*h**2*(h - 1)**3/3
Let k = 3447649/2385015 - -56/10149. Let s = k + 7/47. What is z in 8/5 + 2/5*z**2 - s*z = 0?
2
Let y be (5 + (-17)/3)/(2/(-12)). Let g be (-1)/((-6)/4*2). Factor 0 + g*c**y + 1/3*c**5 - 1/3*c**2 + 0*c - 1/3*c**3.
c**2*(c - 1)*(c + 1)**2/3
Suppose 0 = 21*p - 30*p + 18. Factor -p*d - 1/2*d**2 - 2.
-(d + 2)**2/2
Let r(d) = 14*d**4 - 18*d**3 - 12*d**2 - 12. Let i(w) = -w**4 + w**3 + w**2 + 1. Let h(s) = -12*i(s) - r(s). Factor h(y).
-2*y**3*(y - 3)
Factor 0 + 3*o**2 - 2 + 6*o - 7.
3*(o - 1)*(o + 3)
Let t(y) = -9*y**3 + 4*y**2 - 23*y - 36. Let j(g) = 4*g**3 - 2*g**2 + 12*g + 18. Let a(h) = 13*j(h) + 6*t(h). Factor a(s).
-2*(s - 3)*(s + 1)*(s + 3)
Suppose 4*d + 290 = -70. Let r be (-56)/d - 6/27. Suppose -r + 0*t**2 + 2/5*t**4 - 4/5*t**3 + 4/5*t = 0. What is t?
-1, 1
Factor 0*w + 1/5*w**4 - 1/5*w**2 + 1/5*w**5 + 0 - 1/5*w**3.
w**2*(w - 1)*(w + 1)**2/5
Let d(h) = 2*h + 1. Let g be d(2). What is w in -18*w**4 + 24*w**g - 8*w**4 + 4*w - 16*w**3 - 30*w**2 + 44*w**2 = 0?
-2/3, -1/4, 0, 1
Let c(m) be the first derivative of 2 + 0*m - 1/2*m**2 - 1/3*m**3. Factor c(q).
-q*(q + 1)
Factor 0 + 3/2*s**3 + 3/4*s**4 + 0*s + 0*s**2.
3*s**3*(s + 2)/4
Find m, given that -569*m**2 - 32*m - 4*m**3 + 593*m**2 - 1 + 1 = 0.
0, 2, 4
Let o(q) = -4*q**2 + 3*q + 5. Let g be o(4). Let c = -231/5 - g. Solve -c*x**2 + 2/5*x**3 + 2/5*x + 0 = 0.
0, 1
Let 0 + 0*i**3 + 1/2*i**4 + 0*i**2 + 0*i = 0. What is i?
0
Factor 0*u + 2/17*u**4 - 4/17*u**2 + 2/17*u**3 + 0.
2*u**2*(u - 1)*(u + 2)/17
Let x(k) = 12*k - 1. Let f be x(1). Let v = f - 7. Suppose b**2 - 2 - 4*b**2 - b + v*b**2 = 0. Calculate b.
-1, 2
Let y be 1 - (1 + 1 - 6). Suppose -3*t**2 - 2*t - t**4 + 2*t**y + 5*t**4 - t**2 = 0. What is t?
-1, 0, 1
Let j = -89/4 + 299/12. Let x(s) be the first derivative of -2 + s**2 + 0*s + 3/2*s**4 + 8/5*s**5 - j*s**3 - 4/3*s**6. Determine y so that x(y) = 0.
-1, 0, 1/2, 1
Let r = -1089/2 + 534. Let h = -10 - r. Factor -1/2*d**2 + 1 - h*d.
-(d - 1)*(d + 2)/2
Let o(m) be the first derivative of 2*m**3/33 + 4*m**2/11 + 6*m/11 + 14. Factor o(d).
2*(d + 1)*(d + 3)/11
Let c be (-108)/(-70) + -1 + 3/5. Solve -34/7*k**2 + 6*k**4 - 14*k**5 - c - 48/7*k + 146/7*k**3 = 0.
-1, -2/7, 1
Let o(b) be the first derivative of 4*b**3/9 + 20*b**2/3 + 100*b/3 - 14. Let o(g) = 0. Calculate g.
-5
Let i(r) be the first derivative of -3 + 1/4*r**2 + 1/6*r**3 - r. What is c in i(c) = 0?
-2, 1
Let w(s) be the second derivative of -2/21*s**3 + 1/15*s**6 + 1/14*s**4 + 6/35*s**5 + 6*s + 0 + 0*s**2. Solve w(i) = 0.
-1, 0, 2/7
Suppose 21 = 4*x + 5. Let k(n) be the first derivative of 16/3*n**3 - n**2 + 2 - x*n - 5/2*n**4. Factor k(a).
-2*(a - 1)**2*(5*a + 2)
Suppose 0 = -10*y + 8*y - 20. Let d be (-10 - y) + (-42)/(-8). Factor -57/4*p**3 - 45/4*p**2 + 3/2 - 3/4*p - d*p**4.
-3*(p + 1)**3*(7*p - 2)/4
Suppose -5*v + 15 = -3*m, v + 4*m + 5 = 3*m. Let j = v + 2. Let 0*g + 0*g**j + 0 + 0*g**4 + 2/11*g**3 - 2/11*g**5 = 0. What is g?
-1, 0, 1
Let r(z) be the third derivative of 0*z**3 + 0*z**5 + 1/840*z**8 - 2*z**2 + 1/300*z**6 + 0*z + 2/525*z**7 + 0*z**4 + 0. Let r(s) = 0. Calculate s.
-1, 0
Determine n so that 2/3*n**2 - 5/6*n + 1/6 = 0.
1/4, 1
Let x = 173/220 - 2/55. Factor x*n - 3/4*n**2 - 1/4 + 1/4*n**3.
(n - 1)**3/4
Suppose -5*q + 15 = 5*a, 4 = 2*q - 0*q + 4*a. Suppose 5*i - 4 = 3*l, 0*l - l = -3*i + q. Factor 6*x - i*x + 2*x**2 - 2*x.
2*x*(x + 1)
Let s be -1 - ((-15)/6 - -1). Let q be 12/(-3) + (8 - 4). Find n, given that -1/4*n**2 - s*n + q = 0.
-2, 0
Let q(f) be the first derivative of -5*f**4/2 + 5*f**3 - 5*f**2/2 - 24. Find k such that q(k) = 0.
0, 1/2, 1
Let y(o) be the second derivative of o**7/63 - o**6/15 + o**5/10 - o**4/18 - o. Suppose y(a) = 0. Calculate a.
0, 1
Let r = -524 + 527. Factor 6*h**2 - 8*h**r + 10/3*h**4 - 4/3*h + 0.
2*h*(h - 1)**2*(5*h - 2)/3
Suppose -4*g = -3*q + q - 10, -5*g + q + 5 = 0. Suppose 0 = 7*o - 0*o - 14. Factor 1/3*y**o + 0*y + g.
y**2/3
Let r = -8 + 17. Let d be r/(-2*(-3)/6). Find i such that 0 + 2 - 3*i**2 - 5 - 3 - d*i = 0.
-2, -1
Let v(d) = d - 2. Let u be v(5). Find m, given that 6*m - 4*m**2 + 2*m**3 + 0*m**u - 5*m + m = 0.
0, 1
Let z be 1 - (4 - (1 + -2)). Let g = z - -5. What is x in -1 - 3 + g + 3*x**2 = 0?
-1, 1
Let t be -18 + 20 - 0/(-2). Let a(d) be the second derivative of 0*d**3 + 1/10*d**5 + t*d + 0 + 1/3*d**4 + 0*d**2. Factor a(f).
2*f**2*(f + 2)
Let v(l) = 3*l**2 - 1. Let p(h) = -2*h - 1. Let u be p(-1). Let w be v(u). Determine c, given that 2/7*c**w + 0*c - 2/7 = 0.
-1, 1
Let k(r) = r**2 - 3*r - 5. Let z be k(5). Let i(c) be the second derivative of 1/5*c**2 + 1/10*c**4 + 0 - c + 1/5*c**3 + 1/50*c**z. Solve i(t) = 0.
-1
Let v(c) be the first derivative of c**6/10 + c**5/5 + c**4/12 - 2*c - 2. Let r(w) be the first derivative of v(w). Solve r(z) = 0.
-1, -1/3, 0
Factor 1/2 + g**2 + 1/4*g**3 + 5/4*g.
(g + 1)**2*(g + 2)/4
Let d(n) be the third derivative of 7*n**5/60 + 5*n**4/24 - 5*n**3/6 - n**2. Let c(k) = 11*k**2 + 8*k - 8. Let i(q) = 5*c(q) - 8*d(q). Let i(y) = 0. What is y?
0
Let p = 2 + -2. Factor 3*k**3 + p*k**3 - k**5 - 2*k**3.
-k**3*(k - 1)*(k + 1)
What is p in 15*p**2 - 54*p**4 - 1 - 48*p**3 - 23*p**2 + 1 = 0?
-2/3, -2/9, 0
Suppose -2*m + 8 = 0, -3*d + 4*m = 6 - 2. Suppose -2*a + d = 3*z, -5*a + 4 = -3*a - 5*z. Determine v, given that 3*v - 2*v**a + v + 3*v**2 - 2*v = 0.
-2, 0
Let v(k) be the third derivative of -k**8/224 - k**7/35 - 3*k**6/40 - k**5/10 - k**4/16 - 4*k**2. Factor v(x).
-3*x*(x + 1)**4/2
Factor -5*q + 4*q + 3*q**2 + 4*q - 6*q.
3*q*(q - 1)
Let y = 16 + -6. What is w in 16*w**2 - 1 + y*w**5 - 4 + 44*w**3 - 6*w + 36*w**4 + 1 = 0?
-1, 2/5
Let r(d) be the third derivative of -d**7/42 - d**6/6 - 5*d**5/12 - 5*d**4/12 - 10*d**2. Find x such that r(x) = 0.
-2, -1, 0
Factor 6 + 2/3*x**2 - 4*x.
2*(x - 3)**2/3
Let r(c) be the third derivative of -c**6/40 + c**5/20 + 5*c**4/8 + 3*c**3/2 + 13*c**2. Find n, given that r(n) = 0.
-1, 3
Let b(x) be the second derivative of -2/3*x**2 + 0 - 5*x + 1/12*x**4 + 2/9*x**3. Determine z, given that b(z) = 0.
-2, 2/3
Suppose -2*a - a + 15 = 0. What is p in -2*p**4 + 4*p + 4*p + 16*p**3 + a*p**4 + p**4 + 20*p**2 = 0?
-2, -1, 0
Let o be (12/(-28))/(2 - 15/7). Factor 1/3*r**o + r**2 - 2/3 - 1/3*r - 1/3*r**4.
-(r - 2)*(r - 1)*(r + 1)**2/3
Let i(g) be the second derivative of -g**7/2940 - g**6/1260 - g**3/2 + 3*g. Let r(a) be the second derivative of i(a). Factor r(d).
-2*d**2*(d + 1)/7
Let p(u) = 2*u + 1. Let o be p(1). Solve -16*l**o - 3 + 3 - 16*l + 3 + 4*l**4 + 24*l**2 + 1 = 0 for l.
1
Let q(y) be the second derivative of y**8/2688 + y**7/720 + y**6/720 + y**4/12 + y. Let b(s) 