1. Let q(h) be the first derivative of y(h). Factor q(l).
-2*(l + 1)**3/7
Factor 1/4*a**2 + 0*a - 1/4*a**3 + 0.
-a**2*(a - 1)/4
Let x(d) = -16*d**3 - 2*d**2 + d + 2. Let y be x(-1). Suppose 61*b - 56*b - y = 0. Let b*f + 9/2 + 1/2*f**2 = 0. Calculate f.
-3
Let r(a) be the first derivative of a**3/3 + 5*a**2/2 + 3*a - 2. Let n be r(-5). Factor -2/3*d**4 + 2/3 + 0*d**2 + 4/3*d - 4/3*d**n.
-2*(d - 1)*(d + 1)**3/3
Factor 0*k + 3/4*k**4 + 0 + 1/4*k**2 - k**3.
k**2*(k - 1)*(3*k - 1)/4
Let k be ((-30)/(-225))/(12/80). What is t in 2/9*t**5 + 0 - 10/9*t**4 + 0*t - k*t**2 + 16/9*t**3 = 0?
0, 1, 2
Let u(z) be the second derivative of -z**4/78 + z**3/39 + 11*z - 1. Factor u(i).
-2*i*(i - 1)/13
Let w = -39/2 - -20. Let v = 0 + 0. Solve v*g + 0 + 1/2*g**3 - w*g**2 = 0.
0, 1
Let g(u) be the third derivative of -3*u**5/20 + 11*u**4/24 - u**3/3 - 4*u**2. Find w, given that g(w) = 0.
2/9, 1
Let u = 76/115 + -6/23. Factor -u*j - 6/5*j**2 + 4/5.
-2*(j + 1)*(3*j - 2)/5
Let p(w) be the first derivative of -w**4/6 - w**3/9 + w**2/3 + w/3 - 2. Factor p(a).
-(a - 1)*(a + 1)*(2*a + 1)/3
Let x be (-1 - -2) + (-7)/(-28)*4. Factor 2/7 + 2/7*t**x - 4/7*t.
2*(t - 1)**2/7
Let f(o) = -o**2 + 16*o - 23. Let h(a) = 2*a**2 - 47*a + 67. Let d(v) = 11*f(v) + 4*h(v). Factor d(q).
-3*(q - 1)*(q + 5)
Let s(c) = -c**3 - c**2 - 2*c - 6. Let i be s(-2). Let l(u) be the first derivative of -2/21*u**3 - 1 - 1/7*u**i + 0*u. Let l(h) = 0. Calculate h.
-1, 0
Let l(n) be the third derivative of -n**7/210 - n**6/60 + n**5/20 + n**4/6 - 2*n**3/3 + 4*n**2. Factor l(d).
-(d - 1)**2*(d + 2)**2
Let x(v) = 2*v. Let l = 68 - 46. Let q(a) = -a**2 + 22*a + 1. Let s(o) = l*x(o) - 2*q(o). Factor s(m).
2*(m - 1)*(m + 1)
Let f(l) be the first derivative of l**3/6 - l**2/2 - 6. Factor f(b).
b*(b - 2)/2
Let t be 0*(-3)/6*7/7. Suppose t*l + 0 - 2/3*l**2 = 0. What is l?
0
Let x(a) be the first derivative of 0*a**2 + 0*a + 1/16*a**4 - 1 + 1/12*a**3. Factor x(h).
h**2*(h + 1)/4
Let x(l) be the second derivative of -l**5/100 - l**4/20 - l**3/15 - 3*l. Factor x(z).
-z*(z + 1)*(z + 2)/5
Determine k, given that 4 - 1 - 2 + 34*k + 96*k**2 + 90*k**3 + 3 = 0.
-2/5, -1/3
Suppose -8*o + 35 = -3*o. Let k**4 - 3*k - k**2 + 3*k**5 + 7*k**2 - o*k**4 = 0. What is k?
-1, 0, 1
Let f(j) be the third derivative of -1/30*j**5 - 1/3*j**3 + 0 + 0*j + j**2 - 1/6*j**4. Factor f(l).
-2*(l + 1)**2
Let m(s) be the third derivative of -s**7/60 + 4*s**6/45 - s**5/15 - s**3/6 - 3*s**2. Let t(c) be the first derivative of m(c). Factor t(u).
-2*u*(u - 2)*(7*u - 2)
Let s(k) = -k**3 - 26*k**2 - 27*k - 47. Let d be s(-25). Factor 0*x**d + 0 + 1/3*x**2 - 1/3*x**4 + 0*x.
-x**2*(x - 1)*(x + 1)/3
Let b(j) be the second derivative of -j**7/8820 + j**6/2520 - j**4/12 - j. Let i(z) be the third derivative of b(z). Solve i(p) = 0.
0, 1
Let v be 2 - 0/(12/(-4)). Find t such that 8/3*t**3 + 8/3*t**2 + 0 + 0*t - v*t**4 = 0.
-2/3, 0, 2
Let m = 136 + -134. Factor -3/4*d**m + 0 + 0*d.
-3*d**2/4
Let p(i) be the first derivative of -i**6/14 + 3*i**5/35 + 9*i**4/28 - i**3/7 - 3*i**2/7 + 48. Determine l so that p(l) = 0.
-1, 0, 1, 2
Determine s, given that 2*s**2 + 6*s**3 + 2*s - 7*s**3 - 2*s = 0.
0, 2
Let g = -53 + 213/4. Let x(d) be the first derivative of -1/8*d**4 + 1/6*d**3 + g*d**2 + 2 - 1/2*d. Factor x(i).
-(i - 1)**2*(i + 1)/2
Let a(z) be the second derivative of -z**7/42 + z**6/15 - z**4/6 + z**3/6 - 23*z. Factor a(m).
-m*(m - 1)**3*(m + 1)
Suppose -12 = -3*x - 0, 0 = 3*y + x - 19. Let p be ((-10)/(-4))/(-1)*-2. Solve g**3 + g**p - 4*g**5 + 2*g**y = 0.
-1, 0, 1
Let z be 7 + 1/(-1*1). Suppose -l + 4 = l. Factor -4 + 0*a**l + z*a + 0 - 2*a**2.
-2*(a - 2)*(a - 1)
Find q such that -66/7*q**2 - 170/7*q**3 + 24/7*q + 8/7 + 114/7*q**4 + 90/7*q**5 = 0.
-2, -1/3, 2/5, 1
Let p(g) = g**2 - 5*g - 12. Let t be p(7). Let f(s) be the second derivative of 4*s - 2/5*s**t - 1/6*s**4 - 7/15*s**3 + 0. Solve f(y) = 0 for y.
-1, -2/5
Let y(g) be the second derivative of 0*g**4 + 0*g**2 + g + 0 + 0*g**3 + 1/9*g**6 - 2/63*g**7 + 1/10*g**5. Suppose y(z) = 0. What is z?
-1/2, 0, 3
Suppose 4*d = 2*u - u - 4, -20 = d - 5*u. Suppose 8*j - 21 - 11 = d. Suppose -3*a**3 + 0 - 3/2*a**5 + 1/2*a + 0*a**2 + 4*a**j = 0. What is a?
-1/3, 0, 1
Let x = 45/29 + -3/58. Solve 0 + x*n - 3/2*n**2 = 0.
0, 1
Let c(t) be the first derivative of 0*t**2 + 5 + 0*t - 2/35*t**5 - 1/7*t**4 - 2/21*t**3. Suppose c(p) = 0. Calculate p.
-1, 0
Let c(w) = 2*w - 4. Let h be c(4). Let i be 1/((5 - 3) + 5/(-3)). Factor -3*o**3 - 4*o + o**h + 0*o**3 + 6*o**i.
o*(o - 1)*(o + 2)**2
Let x(h) be the first derivative of 2 + 2*h**2 + 0*h - 2/3*h**3. Solve x(a) = 0.
0, 2
Let y(x) be the first derivative of x**6/14 + 6*x**5/35 - 2*x**3/7 - 3*x**2/14 + 9. Factor y(u).
3*u*(u - 1)*(u + 1)**3/7
Let q(d) be the second derivative of -3*d - 2*d**2 - 1/3*d**3 + 1/6*d**4 + 0. Find b such that q(b) = 0.
-1, 2
Let g(f) = 8*f**4 - 8*f**3 - 12*f**2 + 36*f - 16. Let z(a) = 9*a**4 - 8*a**3 - 12*a**2 + 37*a - 16. Let w(s) = 5*g(s) - 4*z(s). Find o, given that w(o) = 0.
-2, 1, 2
Determine v so that 0*v**2 + 0*v**3 + 0*v - 1/3*v**4 + 0 = 0.
0
Solve 5*u**4 - 134*u + 15*u**3 + 10*u**2 + 134*u = 0 for u.
-2, -1, 0
Let z(g) be the first derivative of -g**6/180 + g**5/40 + g**4/12 - g**3/3 - 2. Let v(j) be the third derivative of z(j). Solve v(f) = 0 for f.
-1/2, 2
Let i = 10 - 6. Let -4*k + 6*k**3 + 4*k + 6*k**2 - 9*k**i - 3*k**2 = 0. Calculate k.
-1/3, 0, 1
Let n(b) = -b**3 + 12*b**2 - b + 6. Let d be n(12). Let u be (d/(-1))/(1 - 0). Find w such that -u*w**2 + 5 + w**3 + 3 + w**3 = 0.
-1, 2
Let t be (-3)/3*0/1. Let h(w) be the first derivative of t*w**2 - 1 + 0*w**4 - 2/5*w**5 - 2*w + 4/3*w**3. Factor h(a).
-2*(a - 1)**2*(a + 1)**2
Let j(l) = 13*l + 15 + 5 + 7 - 2*l**2. Let a(d) = 3*d**2 - 12*d - 27. Let u(v) = -5*a(v) - 6*j(v). Factor u(g).
-3*(g + 3)**2
Let f be -6 + 7 + 5/(-3) + 1. What is g in 1/3*g + 0 + f*g**2 = 0?
-1, 0
Let s(w) be the third derivative of 0 - 1/12*w**4 - 3*w**2 + 0*w + 1/20*w**5 - 1/6*w**3. What is k in s(k) = 0?
-1/3, 1
Let j = 454/18405 - 1/409. Let a(m) be the third derivative of 0*m**4 + 1/15*m**6 - 2*m**2 + 25/1008*m**8 + 0 - j*m**5 - 1/14*m**7 + 0*m + 0*m**3. Factor a(n).
n**2*(n - 1)*(5*n - 2)**2/3
Factor 4/3*z**2 + 0 + 2/3*z + 2/3*z**3.
2*z*(z + 1)**2/3
Let h(f) be the first derivative of -f**6/3 + 16*f**5/25 + 2*f**4/5 - 4*f**3/3 + f**2/5 + 4*f/5 + 3. Suppose h(v) = 0. Calculate v.
-1, -2/5, 1
Suppose -2*a + 3*f = 0, -20 = -4*a - 0*f - 4*f. Let q(t) be the first derivative of -2/3*t**2 - 2/3*t - 1 - 2/9*t**a. Factor q(i).
-2*(i + 1)**2/3
Suppose -x - 1 = k + 6, -k - 5*x = 7. Let t be 34/8 + k + 4. Determine r, given that -1/2 + t*r - r**2 + 1/4*r**3 = 0.
1, 2
Let j(d) be the third derivative of -d**8/40320 + d**6/1440 + d**5/20 - 3*d**2. Let r(h) be the third derivative of j(h). What is a in r(a) = 0?
-1, 1
Suppose 0*d + 5 = 5*d, r + 5 = 5*d. Let b = -1/104 - -419/312. Factor -10/3*s**3 + b*s - 2*s**2 + r.
-2*s*(s + 1)*(5*s - 2)/3
Let c = 92/147 + 2/49. Suppose -c - 1/3*d**2 - d = 0. What is d?
-2, -1
Let f(p) be the third derivative of p**6/96 - p**5/12 + 25*p**4/96 - 5*p**3/12 - 2*p**2. Solve f(i) = 0.
1, 2
Let t(n) be the second derivative of -n**5/80 + n**4/48 + n**3/24 - n**2/8 + 11*n + 1. Solve t(z) = 0.
-1, 1
Let q(p) = -p**2 - p + 1. Let l(a) = 10*a**2 + 10*a. Let b(x) = 3*x**2 + 3*x. Let g(d) = 7*b(d) - 2*l(d). Let w(u) = -g(u) - 2*q(u). Find j such that w(j) = 0.
-2, 1
Suppose -16*i + 7*i**2 + 4 - 12*i**3 - 8*i + 2*i**4 + 19*i**2 + 4 = 0. Calculate i.
1, 2
Let w(c) = c**2 - 2*c - 141. Let z be w(13). Factor 3/4*q**z + 0*q + 0.
3*q**2/4
Let m(k) be the third derivative of 0*k - 1/90*k**5 - 2*k**2 + 1/12*k**4 + 0 - 2/9*k**3. Factor m(b).
-2*(b - 2)*(b - 1)/3
Let z(x) be the third derivative of -x**9/120960 - x**8/8064 - x**7/1440 - x**6/480 + x**5/30 - 3*x**2. Let r(n) be the third derivative of z(n). Factor r(h).
-(h + 1)**2*(h + 3)/2
Let g(l) = l**2 - 2*l - 1. Let z be g(3). Let q be 1*11/3 + 9/(-3). Factor -2*m - q*m**3 - 2*m**z - 2/3.
-2*(m + 1)**3/3
Suppose -3*f + 0*x + 17 = -2*x, -4*f + 22 = -2*x. Factor -d - d**2 + f*d - 4*d.
-d**2
What is v in 3 + 37*v**2 - 38*v**2 - 2 = 0?
-1, 1
Let v = 5 - 2. Suppose -6*y + 6 = -3*y. Factor 4*i - 4*i + i**v + i + y*i**2.
i*(i + 1)**2
Let q be (4/5)/(2/10