r) be the first derivative of f(r). Solve s(b) = 0 for b.
-1, 0
Let m(c) be the second derivative of -c**5/30 - c**4/6 - 2*c**3/9 - 5*c. Find t, given that m(t) = 0.
-2, -1, 0
Factor -3/4*r - 1/4*r**2 + 0.
-r*(r + 3)/4
Factor -w**4 - 4*w**2 - 2*w + 11*w**2 + 3*w**4 - 4*w**3 - 3*w**3.
w*(w - 2)*(w - 1)*(2*w - 1)
Let d(s) be the first derivative of 2*s**3/21 - s**2/7 - 8. Solve d(l) = 0.
0, 1
Let x(r) = r**2 - 9*r + 5. Let b be x(9). Suppose b*z = -3*h + 5*h + 17, 2*z + 4*h = 2. Factor 0*y + 0 + 2/3*y**2 - 3*y**z.
-y**2*(9*y - 2)/3
Let w = 1856 + -83516/45. Let r(o) be the third derivative of 0 - 1/63*o**8 + 1/9*o**3 + 5/18*o**5 + o**2 + w*o**7 - 19/90*o**6 + 0*o - 2/9*o**4. Factor r(m).
-2*(m - 1)**2*(2*m - 1)**3/3
Suppose 4*y - 16 + 0 = 0. Let v be (0 - -2)*6/4. Suppose -3*s**2 - 3*s**4 + v*s**3 + s + 0*s + 2*s**y = 0. What is s?
0, 1
Suppose 37*g + 2*q = 33*g + 6, 0 = -4*q + 12. Let -2/3*p**4 + 2/3 + g*p**2 + 4/3*p - 4/3*p**3 = 0. Calculate p.
-1, 1
Suppose -8 = -4*r + 4. Let w be (1/r)/((-5)/(-190)). What is q in -w*q**3 + 4/3 + 8*q**5 + 14/3*q - 6*q**2 + 14/3*q**4 = 0?
-1, -1/4, 2/3, 1
Let j(z) = 2*z**2 + 21*z + 12. Let v be j(-10). Let 2*u**3 + 0*u + 0 + 6*u**v + 2/3*u**5 - 10/3*u**4 = 0. Calculate u.
-1, 0, 3
Factor 669*p**4 + 0 - 664*p**4 - 5*p**2 + 0.
5*p**2*(p - 1)*(p + 1)
Let k(o) be the first derivative of 1 + 0*o + 0*o**2 + 2/21*o**3 - 1/14*o**4. Factor k(u).
-2*u**2*(u - 1)/7
Let q(f) be the second derivative of -f**4/6 + f**3/3 + 2*f**2 - 3*f. Factor q(m).
-2*(m - 2)*(m + 1)
Suppose -t = 3*v - 6, 5*t - 5*v - 72 + 22 = 0. Factor -8 - 10*s**2 - 6*s**2 + 24*s - 11*s**2 + t*s**2.
-2*(3*s - 2)**2
Suppose 0 = 4*i - 90 + 26. Suppose 2*a = i - 8. Solve -4/7*x + 0*x**2 + 4/7*x**3 - 2/7 + 2/7*x**a = 0 for x.
-1, 1
Let g(i) be the first derivative of 169*i**3/18 + 13*i**2/3 + 2*i/3 - 3. Factor g(q).
(13*q + 2)**2/6
Let j = 128 + -126. Let r be (1 - 2) + 26/22. Find f, given that r - 2/11*f**j + 0*f = 0.
-1, 1
Suppose 4*w - 26 = -5*r, -2*w + 0*w + 8 = 0. Let 3/4 + 0*a - 3/4*a**r = 0. Calculate a.
-1, 1
Let l be (12/(-15))/((-56)/20). Solve l - 4/7*f**2 - 2/7*f = 0 for f.
-1, 1/2
Let f(p) be the third derivative of 0*p - 10*p**2 - 1/12*p**4 + 1/60*p**5 + 0 + 0*p**3. Solve f(l) = 0.
0, 2
Suppose -7*c**2 - 2*c - 2*c**3 + 23*c**3 - 12*c**3 = 0. Calculate c.
-2/9, 0, 1
Suppose -u + 2*f = 6, 4*f - 12 = u + 3*u. Find h, given that 0 - 2/5*h**3 + 2/5*h**2 + u*h = 0.
0, 1
Let n(c) = -4*c**3 - 4*c**2 - 4*c. Let p(m) = m**3 - m**2 - m - 1. Let r(z) = 2*n(z) + 4*p(z). Factor r(h).
-4*(h + 1)**3
Factor 5*g**3 + 0*g + 4*g**4 - g + 19*g**5 + 4*g**2 - 11*g**3 - 20*g**5.
-g*(g - 1)**4
Let h be 3/(-9) - (-1)/3. Let m(t) be the third derivative of h*t + 1/35*t**7 + 1/60*t**6 - 1/9*t**4 + 0 - 4/45*t**5 + 0*t**3 - 3*t**2. Factor m(b).
2*b*(b - 1)*(3*b + 2)**2/3
Let o(y) = y + 7. Let r be o(-5). Find j such that -r + 36*j**2 - 27*j**2 + 6*j**3 + 2 = 0.
-3/2, 0
Let v(j) = j**5 - j**4 + j**2 + j - 1. Let x(t) = 3*t**5 - 9*t**4 + 3*t**3 + 9*t**2 + 6*t - 6. Let u(p) = 6*v(p) - x(p). Solve u(a) = 0.
-1, 0, 1
Let v(z) be the second derivative of -3/2*z**2 - 2*z + 0 - z**3 - 1/4*z**4. Let v(n) = 0. Calculate n.
-1
Let f = -106 - -106. Let u(r) be the third derivative of f*r**3 - 3*r**2 + 0*r + 0 + 1/390*r**5 - 1/156*r**4. Factor u(o).
2*o*(o - 1)/13
Suppose -1/3*t - 2/3*t**2 + 2/3 + 1/3*t**3 = 0. Calculate t.
-1, 1, 2
Suppose 13 = 5*p - 2. Factor -5*r + 2 + 2*r**2 + 4*r - p*r**2.
-(r - 1)*(r + 2)
Let x be (3/(-18))/(((-42)/(-48))/(-7)). Let 2/3*b**2 + 2/3 + x*b = 0. What is b?
-1
Let q(l) = 7*l**3 + 19*l**2 + 20*l + 5. Let p(g) = 8*g**3 + 20*g**2 + 20*g + 4. Let k(y) = -3*p(y) + 4*q(y). Factor k(s).
4*(s + 1)**2*(s + 2)
Let s be 10/3 - (5 + -3). Let r(b) be the second derivative of s*b**2 + 1/5*b**6 - 11/18*b**4 - 1/5*b**5 + 0 + 4/9*b**3 - 2*b. Find a such that r(a) = 0.
-2/3, 1
Determine h so that -4/3*h - 2/3*h**2 + 0 = 0.
-2, 0
Let b(w) be the third derivative of -w**6/720 + w**5/120 - w**4/48 - w**3/2 + w**2. Let k(q) be the first derivative of b(q). Factor k(s).
-(s - 1)**2/2
Let h = 58 - 55. Let b(l) be the second derivative of 0*l**4 + 0 + 0*l**2 + 1/100*l**5 + 1/210*l**7 - 4*l - 1/75*l**6 + 0*l**h. Factor b(p).
p**3*(p - 1)**2/5
Let w(f) = -5*f**2 + 15*f + 10. Let c(g) = -g**2 + 1. Let x(b) = -10*c(b) + w(b). Factor x(n).
5*n*(n + 3)
Let q(i) = 9*i**4 - 11*i**3 + 9*i**2 - 9*i - 4. Let m(o) = 8*o**4 - 11*o**3 + 10*o**2 - 9*o - 3. Let c(s) = -6*m(s) + 5*q(s). Factor c(z).
-(z - 1)**3*(3*z - 2)
Let y(m) be the first derivative of 2*m**6/3 + 4*m**5/5 - m**4 - 4*m**3/3 - 18. Let y(u) = 0. Calculate u.
-1, 0, 1
Let w be 4 + -2 - (-15)/1. Suppose -w + 1 = -4*z + 4*s, 5*z = -4*s + 38. Suppose 6*g - z*g**2 + 4*g**2 - 3*g - g**2 = 0. What is g?
0, 1
Let y(b) be the second derivative of 1/20*b**4 - b + 1/100*b**5 - 1/6*b**3 + 1/5*b**2 + 0 - 1/150*b**6. What is g in y(g) = 0?
-2, 1
Let k(p) be the second derivative of p**6/20 + 3*p**5/40 - p**4/8 - p**3/4 - 8*p. Factor k(h).
3*h*(h - 1)*(h + 1)**2/2
Suppose 0 = -2*c + 8 - 0. Let x(p) = 6*p**3 + 2*p**2 + p. Let g(l) = 5*l**3 + 2*l**2 + l. Let b(z) = c*x(z) - 5*g(z). Determine o, given that b(o) = 0.
-1, 0
Let r(v) be the third derivative of v**5/60 - v**4/6 + v**3/2 - 5*v**2. Let r(z) = 0. Calculate z.
1, 3
Let b be 1 - 15/100*4. Factor -b*z**2 + 0 + 0*z.
-2*z**2/5
Suppose 12 = 4*c + 4*d - 0, 5*d = 5*c - 25. Factor -4*j**3 + j**2 + 3*j**5 + j**3 + 2 - j**c - 2.
j**2*(j - 1)*(j + 1)*(3*j - 1)
Let h = -2/9 - -5/9. Let b(m) be the second derivative of -2*m - 2/15*m**5 + 0 + h*m**4 + 1/45*m**6 - 4/9*m**3 + 1/3*m**2. Factor b(z).
2*(z - 1)**4/3
Let b = 2 - -2. Suppose 0 = -4*j - b + 16. Let -5*m + 0 + 4*m + 4*m**2 + 1 + m**j - 5*m**2 = 0. Calculate m.
-1, 1
Factor 11*q**2 + 4*q**2 - 4*q**3 - q**3.
-5*q**2*(q - 3)
Let r(m) be the third derivative of -2*m**7/105 + m**6/15 + m**5/5 - 2*m**4/3 - 8*m**3/3 + 41*m**2 - 2. Suppose r(f) = 0. What is f?
-1, 2
Let f(z) be the third derivative of z**8/6720 - z**7/840 + z**6/240 - z**5/120 - z**4/6 + z**2. Let n(t) be the second derivative of f(t). Solve n(x) = 0.
1
Let j(d) be the third derivative of d**5/30 + d**4/3 + 4*d**3/3 + d**2 - 4. Factor j(t).
2*(t + 2)**2
Let d(y) = -15*y**4 - 48*y**3 - 51*y**2 - 9*y + 6. Let r(u) = -29*u**4 - 95*u**3 - 101*u**2 - 18*u + 12. Let b(g) = -5*d(g) + 3*r(g). What is n in b(n) = 0?
-2, -1, 1/4
Suppose -3*t = 2*t + 5. Let c be -2 - (24/9)/t. Factor 0 + 2/3*h**4 + 0*h**3 - c*h**2 + 0*h.
2*h**2*(h - 1)*(h + 1)/3
Let n(j) be the second derivative of j**6/80 + j**5/120 - j**4/16 - j**3/12 - 4*j**2 - 4*j. Let y(i) be the first derivative of n(i). Factor y(v).
(v - 1)*(v + 1)*(3*v + 1)/2
Let p(i) be the third derivative of i**5/90 + 5*i**4/6 + 25*i**3 - 9*i**2 + 2*i. Factor p(y).
2*(y + 15)**2/3
Factor -24*d**2 + 218/3*d**3 + 98/3*d**5 + 0 - 84*d**4 + 8/3*d.
2*d*(d - 1)**2*(7*d - 2)**2/3
Let w(q) = 5*q**2 - 72*q + 245. Let z(k) = 85*k**2 - 1225*k + 4165. Let p(i) = -35*w(i) + 2*z(i). Factor p(c).
-5*(c - 7)**2
Suppose 3*b + 4 = -4*s, -5*b - s - 1 = -0. Factor -12/5*c**5 + 0*c - 3/5*c**3 + 0 + b*c**2 + 3*c**4.
-3*c**3*(c - 1)*(4*c - 1)/5
Let v(h) = 2*h**4 - 5*h**3 - 9*h**2 - 5*h - 3. Let p(x) = 2*x**4 - 6*x**3 - 10*x**2 - 6*x - 4. Let y(w) = 5*p(w) - 6*v(w). Suppose y(o) = 0. Calculate o.
-1, 1
Let u = 43/7 - 39/7. Find v such that 0*v + 2/7*v**2 + u*v**3 + 2/7*v**4 + 0 = 0.
-1, 0
Let v = -9 - -15. Suppose -2*a + v = 2. Let 3*j**3 + 2 + 5*j + 6*j**a + 2*j + 2*j**2 = 0. Calculate j.
-1, -2/3
Let u be (3111/99)/(1/(-9)). Let q = 283 + u. Factor 2/11*y**4 + 0 - 2/11*y**2 - q*y + 2/11*y**3.
2*y*(y - 1)*(y + 1)**2/11
Let t(j) be the first derivative of 9*j**5/2 + j**4 - 2*j**3/3 - 8. Factor t(p).
p**2*(5*p + 2)*(9*p - 2)/2
Let l(v) be the third derivative of v**5/12 - 5*v**4/12 + 5*v**3/6 + 3*v**2 + 4. Determine g, given that l(g) = 0.
1
Let l(d) be the first derivative of -2/15*d**3 - 8/5*d + 4 - 4/5*d**2. Factor l(m).
-2*(m + 2)**2/5
Let c(w) be the third derivative of w**7/1120 + w**6/240 - 2*w**3/3 - 6*w**2. Let d(r) be the first derivative of c(r). Solve d(h) = 0.
-2, 0
Let c(m) be the first derivative of 0*m + 1/5*m**5 - 1/2*m**2 + 1/4*m**4 + 2 - 1/3*m**3. Solve c(x) = 0.
-1, 0, 1
Let i be -2 + 30/7 - 2. What is w in -i - 2/7*w**2 + 4/7*w = 0?
1
Let o(i) = 