*2.
-(p + 2)**2/4
Let r be -2*(-3)/(-6)*(-4)/10. What is b in 4/5*b - r*b**2 - 2/5 = 0?
1
Let s(v) be the first derivative of v**5/80 + v**4/48 + 4*v - 3. Let r(h) be the first derivative of s(h). Let r(i) = 0. What is i?
-1, 0
Let b be (-3)/2 + 2 - 18/(-12). Factor 1/4*z**b + 2*z + 4.
(z + 4)**2/4
Let h(i) = i - 3. Let z be h(13). Let v be ((-8)/z)/((-7)/5). Suppose 2/7 + 2/7*g**2 + v*g = 0. Calculate g.
-1
Let i(r) be the first derivative of -r**4/12 + r**3/3 - r**2/2 + r/3 - 7. Determine q so that i(q) = 0.
1
Let q be (0 - (1 - -2)) + -5. Let j(x) = -x**2 - 8*x + 2. Let y be j(q). Suppose 0*i + 0*i**3 + 1/2*i**4 + 0*i**y + 0 = 0. What is i?
0
Let f(k) = -29*k**4 + 83*k**3 + 49*k**2 + 6*k + 3. Let q(y) = 86*y**4 - 250*y**3 - 148*y**2 - 18*y - 10. Let c(h) = 10*f(h) + 3*q(h). Factor c(a).
-2*a*(a - 3)*(4*a + 1)**2
Let o be -2 + 3 - -2 - (1 - 3). Let d(s) be the first derivative of 2/7*s - 3 + 2/35*s**o + 0*s**4 + 0*s**2 - 4/21*s**3. Solve d(n) = 0.
-1, 1
Let a = 3 + -1. Suppose -a*n + 56 = 2*n. Factor 1 - 2*b - 16*b**2 + n*b**2 + 3.
-2*(b - 1)*(b + 2)
Suppose -m + 6 = 4*q, -3*q + q + 14 = m. Factor -u**2 - 19*u**2 - 28*u**3 + 30*u - m*u.
-4*u*(u + 1)*(7*u - 2)
Let x(r) be the second derivative of -r**4/24 + r**2/4 + 4*r. Factor x(l).
-(l - 1)*(l + 1)/2
Let d(k) be the first derivative of -k**4/6 - 4*k**3/9 - k**2/3 - 9. Solve d(u) = 0 for u.
-1, 0
Solve -4*k + 1/2 + 8*k**2 = 0 for k.
1/4
Let o(w) = 4*w**3 - w**2 + 2*w - 1. Let q be o(1). Let t be 0 + (0/3)/(-2). What is g in -g**q + 3*g**4 - 2*g**5 + t*g**5 = 0?
0, 1
Let v = 25 - 25. Solve 3/2*q**2 - 3/2*q**4 + v*q**3 + 0*q + 0 = 0.
-1, 0, 1
Let p(w) be the second derivative of -7/30*w**6 + 3*w + 0 - 3/4*w**5 + 0*w**2 - 3/4*w**4 + 0*w**3 - 1/42*w**7. Factor p(c).
-c**2*(c + 1)*(c + 3)**2
Let a(u) = u**3 - u**2 - 2*u - 1. Let c be a(2). Let x be c/(-4) - 28/(-16). Factor -b**2 - 2*b**x + 2*b**3 - 4*b + 2*b + 3*b**4.
b*(b - 1)*(b + 1)*(3*b + 2)
Let a(d) = 8*d**5 - 11*d**4 + 11*d**3 + 7*d - 7. Let g(v) = v**5 - v**4 + v**3 + v - 1. Let u(i) = -3*a(i) + 21*g(i). Solve u(q) = 0.
0, 2
Let f = -1215 + 1215. Factor 0 + 2/3*i**4 + 0*i - 1/6*i**5 + f*i**2 - 1/2*i**3.
-i**3*(i - 3)*(i - 1)/6
Let r(i) be the second derivative of 5*i**7/42 + 7*i**6/30 - 2*i**5/5 - i**4/3 + 2*i. Factor r(d).
d**2*(d - 1)*(d + 2)*(5*d + 2)
Let d(a) be the first derivative of a**6/24 + a**5/4 - a**4/8 - 5*a**3/6 + a**2/8 + 5*a/4 - 22. Solve d(u) = 0.
-5, -1, 1
What is m in 7*m**4 + 4*m**2 - 10*m**4 + 0*m**4 - m**4 - 12*m + 12*m**3 = 0?
-1, 0, 1, 3
Let c(l) be the first derivative of 2 + 1/3*l**3 - 1/4*l**4 - l + 1/2*l**2. Factor c(j).
-(j - 1)**2*(j + 1)
Factor 0 - 3*l**2 + 4 - 4.
-3*l**2
Factor 3/2 - 3*f - 21/2*f**2 - 6*f**3.
-3*(f + 1)**2*(4*f - 1)/2
Solve 4/9*d**3 + 0 - 16/9*d + 0*d**2 = 0 for d.
-2, 0, 2
Let c(b) be the third derivative of b**7/140 + 5*b**6/48 + 21*b**5/40 + 9*b**4/16 - 9*b**3/2 + 16*b**2. Factor c(k).
(k + 3)**3*(3*k - 2)/2
Let a = 27/28 + -5/7. Let r(d) be the second derivative of -a*d**4 + 0*d**2 + 1/6*d**3 - 2*d + 0 - 1/5*d**5. Determine f so that r(f) = 0.
-1, 0, 1/4
Suppose 16 = -a - 6. Let o(w) = w**2 - 2 + 3 - 2 - w + w**3. Let k(j) = j**4 - 12*j**3 - 13*j**2 + 11*j + 11. Let p(f) = a*o(f) - 2*k(f). Solve p(b) = 0.
-1, 0, 2
Let v be 0 + 2 + (-4 - -2). Let m(a) be the third derivative of v + 0*a**5 + 0*a**3 + 0*a**4 - 1/210*a**7 + 0*a + a**2 - 1/120*a**6. Factor m(n).
-n**3*(n + 1)
Let r(v) = -3*v + 11. Let w be r(7). Let u = 12 + w. Find q, given that 2/5*q**u - 4/5*q + 0 = 0.
0, 2
Let h(w) be the first derivative of -w**6/900 + w**5/150 - w**4/60 + w**3/3 + 3. Let d(r) be the third derivative of h(r). Let d(y) = 0. What is y?
1
Factor 1/6 + 1/3*b + 1/6*b**2.
(b + 1)**2/6
Let m(p) be the first derivative of 2*p**5/25 - 3*p**4/10 - 8*p**3/15 - 51. Let m(z) = 0. What is z?
-1, 0, 4
Solve 2/3*c - 1/3*c**5 + 0 - 5/3*c**2 + 1/3*c**4 + c**3 = 0 for c.
-2, 0, 1
Determine m so that 6/5 + 3/5*m**2 - 9/5*m = 0.
1, 2
Let p = 201 - 199. Find t such that 1/2*t - 1/4*t**p + 0 = 0.
0, 2
Let u(o) be the first derivative of -o**4/14 + 2*o**3/21 + 26. Factor u(k).
-2*k**2*(k - 1)/7
Let a(u) be the first derivative of -u**7/420 + u**6/90 - u**5/60 + u**3/3 - 1. Let t(b) be the third derivative of a(b). Solve t(h) = 0 for h.
0, 1
Let p = 916/3 + -305. Let -1/3 + p*i**2 + 0*i = 0. Calculate i.
-1, 1
Let n be (-3896)/(-132) + (-4)/22. Suppose -338/3*i**4 - 46*i**2 - 8/3 - n*i + 572/3*i**3 = 0. What is i?
-2/13, 1
Let i(d) be the first derivative of -d**4/26 - 2*d**3/13 + 8*d/13 - 7. Factor i(g).
-2*(g - 1)*(g + 2)**2/13
Let s be 2 + -2*(2 + -1). Suppose s*l - l = -7. Find h such that -7*h**2 + 9*h**5 - 1 + l*h**5 + 8*h**4 + 11*h - 23*h**3 - 4*h = 0.
-1, 1/4, 1
Suppose -4*a = -2 - 18. Suppose 4*j - 4*m = 20, 5*j = m + 26 - a. Determine f, given that -12*f**2 + 0 - 81*f**j + 0*f - 54*f**3 - 81/2*f**5 = 0.
-2/3, 0
Let t(z) = z**2 - 7*z + 1. Let i(a) = -4*a - 2*a + 7*a. Let k(m) = -5*i(m) - t(m). Determine c, given that k(c) = 0.
1
Let l(j) = 20*j**3 - 11*j**2 + 17*j - 17. Let v(n) = -7*n**3 + 4*n**2 - 6*n + 6. Let r(s) = 6*l(s) + 17*v(s). Solve r(b) = 0 for b.
-2, 0
Factor -2/7*m**2 + 4/7*m + 30/7.
-2*(m - 5)*(m + 3)/7
Let -1/3*k**5 + 2/3*k**2 + 1/3*k + 0*k**3 + 0 - 2/3*k**4 = 0. Calculate k.
-1, 0, 1
Let n = -33 + 97. Suppose -32*c - 8*c**2 - c**2 + 5*c**2 - n = 0. What is c?
-4
Let t(q) be the third derivative of q**5/40 - q**4 + 16*q**3 - 8*q**2 - 4*q. Let t(h) = 0. Calculate h.
8
Let s(c) be the second derivative of c**5/10 - c**4/2 + 4*c**2 + 5*c. Solve s(q) = 0.
-1, 2
Solve 0 + 0*s - 1/5*s**5 - 1/5*s**4 + 1/5*s**3 + 1/5*s**2 = 0.
-1, 0, 1
Factor -5/3*p**2 - 1/3*p**5 + 2/3*p + p**3 + 0 + 1/3*p**4.
-p*(p - 1)**3*(p + 2)/3
Let b(q) be the first derivative of 5*q**4/12 - 5*q**2/2 + 10*q/3 - 1. Factor b(x).
5*(x - 1)**2*(x + 2)/3
Suppose 3*n + 0 = -2*d + 17, d = -n + 7. Factor k**d - 5/3*k**3 + 1/3*k - 13/3*k**2 + 2.
(k - 3)*(k + 1)**2*(3*k - 2)/3
Suppose -4/7*p**2 - 4/7*p + 0 = 0. What is p?
-1, 0
Suppose 76 = -2*v + 6*v. Suppose -4*s + v = 7. Determine t so that t + 0 + 1/2*t**s + 3/2*t**2 = 0.
-2, -1, 0
Let w(q) be the third derivative of q**5/30 - q**4/4 - 8*q**2. Determine t, given that w(t) = 0.
0, 3
Let d(a) = -a**2. Let n(h) = 12*h**3 + 5*h**2 - 3*h. Let v(s) = -4*d(s) + n(s). Factor v(r).
3*r*(r + 1)*(4*r - 1)
Let z be 12/6 - (-266)/4. Let n = z + -67. Suppose -3/2*f - n*f**2 + 0 = 0. Calculate f.
-1, 0
Suppose -4*u = u - 3*r - 31, 0 = -u + 4*r - 4. Solve 11*j**2 - 9*j**3 - u*j - j**3 - 2*j**4 - 27*j**2 + 0*j = 0 for j.
-2, -1, 0
Let g(y) = 2*y - 16. Let d be g(9). Let s(i) be the second derivative of 0 - 1/40*i**5 + 1/12*i**3 - d*i + 0*i**2 + 0*i**4. Let s(t) = 0. Calculate t.
-1, 0, 1
Factor 0 - 2/7*l**2 + 3/7*l**3 + 0*l - 1/7*l**4.
-l**2*(l - 2)*(l - 1)/7
Suppose -5*u = -0 - 15. Let -3*j**2 + 8*j - 5*j**2 - 4*j**3 + 6*j**u + 0*j**2 = 0. What is j?
0, 2
Let b(a) be the second derivative of 0*a**3 + 0*a**2 + 1/4*a**4 - 1/10*a**6 - 3*a - 3/20*a**5 + 0 + 1/14*a**7. Find s, given that b(s) = 0.
-1, 0, 1
Let d be 0/4 + 4/2. Let d + 5*n + 2*n**2 - 6*n + 5*n = 0. Calculate n.
-1
Let x(a) = -a**3 - 4*a**2 - a - 2. Let k be x(-4). Suppose 0*j**k - 2/7*j + 2/7*j**3 + 0 = 0. What is j?
-1, 0, 1
Suppose 0 = 5*f - 2*q - 12, 0 = 2*f - 6*q + 2*q + 8. Let d(c) be the second derivative of 1/54*c**f - 3*c - 2/9*c**2 + 0 - 1/27*c**3. Factor d(p).
2*(p - 2)*(p + 1)/9
Let a(x) be the third derivative of x**10/680400 - x**9/136080 + x**8/90720 + x**5/15 - 5*x**2. Let l(k) be the third derivative of a(k). Factor l(n).
2*n**2*(n - 1)**2/9
Suppose -7*a = -2*a - 240. Determine t so that -a*t**4 + 0*t**3 - 2*t**3 + 46*t**4 = 0.
-1, 0
Let l = 176 + -3519/20. Let z(x) be the second derivative of l*x**5 - 1/6*x**4 + 0*x**3 + 0 + 1/30*x**6 + 0*x**2 + x. Factor z(n).
n**2*(n - 1)*(n + 2)
Let t(i) be the second derivative of 0 - 4*i - 1/20*i**4 + 1/5*i**3 + 9/10*i**2. Suppose t(p) = 0. Calculate p.
-1, 3
Factor 15/4*p**3 - 15/4*p - 3/2*p**2 + 3/2.
3*(p - 1)*(p + 1)*(5*p - 2)/4
Let b(g) = 4*g**2 + g**2 - 4*g**2 + 3 - 9 + 5*g. Suppose -p - 5 = 1. Let q(a) = a - 1. Let y(k) = p*q(k) + b(k). Factor y(s).
s*(s - 1)
Let k(z) = -z**3 - 4*z**2 + 5*z + 2. Let t be k(-5). What is r in -2/7*r**4 + 0 + 0*r**t - 2/7*r**3 + 0*r = 0?
-1, 0
Let -1699 -