ivative of 2*g + 2 + g**4 + 0*g**3 - 2*g**2 - 2/5*g**m. Find r such that l(r) = 0.
-1, 1
Let k(u) be the first derivative of -u**4/9 - 8*u**3/27 + 2*u**2/9 + 8*u/9 + 23. Factor k(m).
-4*(m - 1)*(m + 1)*(m + 2)/9
Let y(a) = -a**2 + 2*a + 7. Let o be y(6). Let t = o - -26. Solve -7*z**3 + z**4 - t*z**4 + 6*z**2 + 2 + 10*z - 3*z**3 = 0.
-1, -1/4, 1
Let w = 7/1542211 - 321960/568183. Let t = 1/209 - w. Factor -10/7*m + t + 6/7*m**2.
2*(m - 1)*(3*m - 2)/7
Solve 3/5*o - 21/5*o**2 - 18/5*o**5 + 0 + 21/5*o**4 + 3*o**3 = 0 for o.
-1, 0, 1/6, 1
Let n = 1062 + -1060. Factor 3/2*z + 1 + 1/2*z**n.
(z + 1)*(z + 2)/2
Let n(o) be the first derivative of -o**4/12 - o**3/9 - 1. Factor n(k).
-k**2*(k + 1)/3
Suppose i - 4*y + 3 = 0, y = 3*i + i + 27. Let o = i + 7. Factor 0*s**3 + 1/3*s**2 + 0*s - 1/3*s**4 + o.
-s**2*(s - 1)*(s + 1)/3
Factor 0*f + 2/7*f**2 + 6/7*f**3 + 0 + 6/7*f**4 + 2/7*f**5.
2*f**2*(f + 1)**3/7
Let q = 29 - 13. What is s in 7*s**3 + 1 + 0*s**3 + 11*s - 3 - q*s**2 = 0?
2/7, 1
Let u be (-18)/(-360)*(10/12)/5. Let h(o) be the third derivative of -1/6*o**3 + 0 + 0*o + 1/60*o**5 - 2*o**2 + 1/24*o**4 - u*o**6. Factor h(n).
-(n - 1)**2*(n + 1)
Let u(z) = -z**3 + 2*z**2 - 8*z - 8. Let r(i) = -2*i**2 + 8*i + 8. Let v(w) = 6*r(w) + 4*u(w). Factor v(s).
-4*(s - 2)*(s + 1)*(s + 2)
Suppose -30 = 3*b - 36. Let w(k) be the third derivative of 0 + 0*k - 1/120*k**6 - 1/12*k**4 - b*k**2 + 1/21*k**7 + 0*k**3 - 7/60*k**5. Factor w(j).
j*(j - 1)*(2*j + 1)*(5*j + 2)
Suppose -5*s - 7 = 4*x - 10*s, 6 = 2*s. Let i(k) = -k**2 - 5*k. Let o be i(-4). Factor z**x - 2 - 3*z**2 + o*z**2 + 0*z**2.
2*(z - 1)*(z + 1)
Let w(v) be the third derivative of v**7/20 + 9*v**6/80 + v**5/20 + 14*v**2. Determine y, given that w(y) = 0.
-1, -2/7, 0
Let h(q) be the second derivative of 0*q**2 + 0 - 3/4*q**4 - 5*q - q**3 + 3/10*q**5. Let h(l) = 0. Calculate l.
-1/2, 0, 2
Suppose -3*n + 6 - 24 = -3*s, -3*n = 12. Factor 3*m**s + 9 + 0 - 5*m**2 - 7 + m - m**3.
-(m - 1)*(m + 1)*(m + 2)
Let c = -184/1537 + 10/53. Let u = 37/116 - c. Solve -1/2*y**2 + 0 - u*y**3 - 1/4*y = 0 for y.
-1, 0
Let d(u) be the first derivative of -u**6/42 + 3*u**5/35 + u**4/14 - 2*u**3/7 - u**2/14 + 3*u/7 - 3. Find q such that d(q) = 0.
-1, 1, 3
Let v be (440/(-24))/11 + 5*1. Factor 4/3*u - 2*u**2 - v*u**3 + 0.
-2*u*(u + 1)*(5*u - 2)/3
Let w = -66 - -68. Let z(m) be the second derivative of 2/3*m**3 + 3/2*m**5 - 11/6*m**4 + 0*m**w + 3*m + 0. Factor z(v).
2*v*(3*v - 1)*(5*v - 2)
Let t be -2 - (1 + -2 + -2). Let w be -3 + 2 + 2 - t. Find o, given that w*o - 2/7*o**2 + 2/7 = 0.
-1, 1
Let o(t) be the second derivative of -t**5/100 + t**4/60 + t**3/30 - t**2/10 - 5*t. Factor o(h).
-(h - 1)**2*(h + 1)/5
Let k(t) be the second derivative of t + 1/10*t**5 + 0*t**2 - 1/3*t**3 + 0 + 0*t**4. Factor k(y).
2*y*(y - 1)*(y + 1)
Let a(c) be the third derivative of -c**7/2520 - c**6/120 - 3*c**5/40 - c**4/8 + c**2. Let b(o) be the second derivative of a(o). Determine m so that b(m) = 0.
-3
Let h = -2 - -2. Let s(m) be the third derivative of h + m**2 + 0*m**3 + 0*m**4 + 0*m + 1/240*m**5. Find k, given that s(k) = 0.
0
Let l be (-9)/(-18) - 0/(-1). Let u(s) be the first derivative of 2 - 1/8*s**4 + 1/2*s**3 - 3/4*s**2 + l*s. What is k in u(k) = 0?
1
Let s(b) be the first derivative of -b**4/34 - 2*b**3/17 - 3*b**2/17 - 2*b/17 - 13. What is g in s(g) = 0?
-1
Let z be -3 + (95/4 - 6/8). Factor 0 + 0*m + m**2 - 8*m**5 - 17/2*m**3 + z*m**4.
-m**2*(m - 2)*(4*m - 1)**2/2
Suppose -3*p = l - 18, 3*l = -2*p + 1 + 18. Let 1/3*b**l + 1/3*b**4 + 2/3 - b**2 - 1/3*b = 0. Calculate b.
-2, -1, 1
Suppose 2*n = -n - r + 3, 5*r = 15. Suppose n = -c + 2*c - 3. Determine m so that 0 + 8/5*m + 6*m**4 - 2/5*m**c - 24/5*m**2 = 0.
-1, 0, 2/5, 2/3
Let w(z) be the third derivative of z**5/20 + z**4/8 + 3*z**2. Factor w(x).
3*x*(x + 1)
Let f(i) be the first derivative of -i**4 + 6*i**2 - 8*i - 12. What is h in f(h) = 0?
-2, 1
Let m = -857 - -857. Determine c so that 2/3*c**5 + 0*c**4 + m - 2/3*c**3 + 0*c + 0*c**2 = 0.
-1, 0, 1
Let y be 2/(-9) - (-87)/27. What is n in -25*n**3 + 25*n**y - 4*n**2 + 4*n**4 = 0?
-1, 0, 1
Suppose m + m - 6 = 0. Factor n**2 + 0*n - 2*n + m*n.
n*(n + 1)
Let p(t) be the second derivative of t**7/1260 - t**6/120 + t**5/30 + t**4/4 + 3*t. Let i(o) be the third derivative of p(o). Determine v so that i(v) = 0.
1, 2
Let n(t) be the third derivative of 1/5*t**5 + 0 - 1/60*t**6 - t**4 + t**2 + 0*t + 8/3*t**3. What is d in n(d) = 0?
2
Let u be ((-5 + -1)/(-2))/(6/8). Let s(m) be the first derivative of 0*m**2 + 0*m + 2/15*m**3 + u. Factor s(r).
2*r**2/5
Let 4/5*c**2 - 8/5 + 4/5*c = 0. What is c?
-2, 1
Determine w, given that 2*w**4 + 4*w**3 + 7*w**3 + w**4 + 6*w + w**3 + 15*w**2 = 0.
-2, -1, 0
Let x = -3675 - -7679/2. Let s = x - 160. Suppose 0*o**2 - 3 + s*o - 3/2*o**3 = 0. Calculate o.
-2, 1
Let o(t) be the first derivative of t**4/12 - 5*t**3/9 + 7*t**2/6 - t - 7. Let o(v) = 0. Calculate v.
1, 3
Let i = -1359/10 - -136. Let y(k) be the first derivative of -3 + 0*k - 1/8*k**4 + 1/4*k**2 + 1/6*k**3 - i*k**5. Solve y(w) = 0.
-1, 0, 1
Let x(z) be the second derivative of z**6/180 - z**5/30 + z**4/24 + z**3/9 - z**2/3 + 6*z. Factor x(l).
(l - 2)**2*(l - 1)*(l + 1)/6
Let l(k) = k**3 - 4*k**2 - 5*k + 6. Let g be l(5). Let w be -1 + 2/4*7. Factor g*s - 2 - w*s**2.
-(s - 2)*(5*s - 2)/2
Let b = -113/2 - -57. Find t, given that 0*t - t**3 + 1/2*t**2 + 0 + b*t**4 = 0.
0, 1
Let k(l) = -l**2 + 2*l - 4. Let i(g) = g**2 - 5*g + 3. Let v(f) = -f**2 + 4*f - 3. Let m(h) = -2*i(h) - 3*v(h). Let t(j) = 2*k(j) + 3*m(j). Factor t(q).
(q - 1)**2
Let d(u) be the first derivative of -7/12*u**3 + 1/2*u - 6 + 5/8*u**2. Factor d(l).
-(l - 1)*(7*l + 2)/4
Factor -2/17*g**3 + 2/17*g - 2/17*g**2 + 2/17.
-2*(g - 1)*(g + 1)**2/17
Let t = 6 - 6. Let p(x) = x**3 + x**2 + x + 2. Let w be p(t). Factor -1/2*n - 1/2*n**3 + n**w + 0.
-n*(n - 1)**2/2
Let y(p) = -88*p**3 + 88*p**2 - 20*p - 4. Let c(f) = 59*f**3 - 59*f**2 + 13*f + 3. Let d = 11 - 6. Let i(s) = d*y(s) + 7*c(s). What is w in i(w) = 0?
1/3
Suppose 2*u + u = 87. Suppose 0 = 4*l + 9 - u, 0 = -3*v + l + 1. Determine h so that -2*h - 2*h + 2*h + 0*h**2 - 3*h**v + h**4 = 0.
-1, 0, 2
Suppose -8 = -4*z + 12. Let v(j) be the second derivative of 0*j**2 + 0*j**4 + 0*j**6 + 0*j**3 + 1/70*j**z - 1/147*j**7 - j + 0. Factor v(y).
-2*y**3*(y - 1)*(y + 1)/7
Let t(i) be the first derivative of -3*i**6/80 - 7*i**5/40 - i**4/3 - i**3/3 + i**2 + 1. Let v(g) be the second derivative of t(g). Factor v(d).
-(d + 1)*(3*d + 2)**2/2
Let d(o) be the third derivative of -o**6/480 + 3*o**4/32 + 70*o**2. Solve d(a) = 0 for a.
-3, 0, 3
Let r(b) = 2*b**4 - 7*b**3 - 13*b**2 - 3*b + 7. Let w(c) = -c**4 + 3*c**3 + 6*c**2 + c - 3. Let t(s) = 6*r(s) + 14*w(s). Determine o, given that t(o) = 0.
-2, 0, 1
Let x(y) = 2*y**2 + 3*y + 1. Let d be x(-2). Suppose 21 = d*n + 4*n. Solve 2/7*j**n + 2/7*j**2 + 0 + 0*j = 0 for j.
-1, 0
Let i be (2/(-30))/(9/(-45)). Factor -i*h**2 + 1/3*h + 0.
-h*(h - 1)/3
Suppose 30 - 10 = 5*z. Let r(g) be the first derivative of -1/3*g**6 + 0*g**2 - 2/5*g**5 + 1/2*g**z + 0*g - 3 + 2/3*g**3. Factor r(x).
-2*x**2*(x - 1)*(x + 1)**2
Factor -3*c**3 - c**3 - c**3 + 5*c**2 + 10*c + 0*c**3.
-5*c*(c - 2)*(c + 1)
Let q be 3 - 3 - 1 - -3. Let w = q + 0. Factor -h**4 + 2*h**2 - 4*h**w + 3*h**4 + 4*h**3 + 4*h**2.
2*h**2*(h + 1)**2
Suppose -1 - 2 = 3*a. Let b be (3 + -2)*(-5)/a. Factor -2*w + 4*w**3 + 2 + 2*w**4 + 2*w**b + 3*w**2 - 4*w**5 - 7*w**2.
-2*(w - 1)**3*(w + 1)**2
Let a(s) = -s**3 + 3*s**2 - 4. Let f = -5 + 9. Let y(d) = -d**3 + 4*d**2 - 5. Let c(z) = f*y(z) - 5*a(z). Determine t so that c(t) = 0.
-1, 0
Let r(u) = 2*u**4 - 6*u**3 + 14*u**2 - 6*u + 4. Let n be ((-4)/(-8))/(1/2). Let q(c) = -c**3 - c**2 - c - 1. Let w(z) = n*r(z) + 2*q(z). Factor w(j).
2*(j - 1)**4
Factor -2/3*b**3 - 8/3 + 14/3*b - 4/3*b**2.
-2*(b - 1)**2*(b + 4)/3
Let t be (-42)/(-10) - 2/10. Suppose g + t*g - 13 = -3*p, 3*g - 3*p = 3. Factor v**2 - g*v + 9*v**3 + 5*v**2 + 2*v - 3*v**5.
-3*v**2*(v - 2)*(v + 1)**2
Let q be 153/54 + 9/(-6). Determine s so that q*s - 2/3*s**2 + 0 - 2/3*s**3 = 0.
-2, 0, 1
Let h(w) = -w. Let x(t) = -t**3 + 11*t**2 - 13*t - 17. Let f(k) = -5*h(k) + x(k). Let p be f(10). Factor -1/3*o + 1/3*o**p + 0 + 1/3*o**2 - 1/3*o**4.
-o*(o - 1)**2*(o + 1)/3
