r r(m).
-(m - 4)*(7*m - 2)
Let g be 1/((-32)/12 - -3). Let s(y) = -y**3 + 2*y**2 + 5*y - 5. Let r be s(g). Factor 22*x - r + 5 - 30*x + 8*x**3 - 4*x**4.
-4*(x - 1)**3*(x + 1)
Find c such that 0 + 15/2*c**2 - 21/2*c**3 + 6*c - 3*c**4 = 0.
-4, -1/2, 0, 1
Find p such that -19*p**4 + 183*p**3 - 359*p**3 + 191*p**3 + 3*p**5 + 7*p**4 - 6*p**2 = 0.
0, 1, 2
Factor -12 + 3 - 20*p + 17 - 28*p**2.
-4*(p + 1)*(7*p - 2)
Find h such that 3*h**2 + 0 - 3*h + 1/3*h**3 - 1/3*h**4 = 0.
-3, 0, 1, 3
Find f such that 66/7*f + 69/7*f**2 + 0 + 3/7*f**3 = 0.
-22, -1, 0
Let v(h) be the third derivative of h**7/105 + h**6/12 + 7*h**5/30 + h**4/4 - 65*h**2. Solve v(j) = 0.
-3, -1, 0
Let y(r) = 38*r**2 - 20*r - 60. Let p(k) = -7*k**2 + 4*k + 12. Let w(n) = 11*p(n) + 2*y(n). Factor w(a).
-(a - 6)*(a + 2)
Let u(z) be the third derivative of z**8/112 + z**7/14 - z**6/40 - z**5/4 + 14*z**2 + 16. Factor u(o).
3*o**2*(o - 1)*(o + 1)*(o + 5)
Let t = -179 - -187. Let j be t/15 + 8/(-24). Factor h**4 - 13/5*h**3 - 2/5 + 9/5*h**2 + j*h.
(h - 1)**3*(5*h + 2)/5
Solve -15/2 - 3/4*h**2 - 33/4*h = 0.
-10, -1
Let v(j) be the second derivative of -j**2 + 5/6*j**3 - 1/42*j**7 + 2/15*j**6 - 1/6*j**4 + 0 - 13*j - 1/5*j**5. Factor v(u).
-(u - 2)*(u - 1)**3*(u + 1)
Determine u, given that 18/5*u**2 + 0 + 2/5*u**4 + 648/5*u - 28/5*u**3 = 0.
-4, 0, 9
Let i(a) be the third derivative of -a**9/3780 - a**8/1050 + a**7/350 + 11*a**3/6 + 51*a**2. Let v(c) be the first derivative of i(c). Factor v(d).
-4*d**3*(d - 1)*(d + 3)/5
Let u(g) = 4*g**2 - 11*g - 11. Let v(k) = -2*k**2 + 6*k + 6. Let c(a) = -a**2 + 6*a - 4. Let f be c(5). Let q = f - 12. Let y(m) = q*v(m) - 6*u(m). Factor y(l).
-2*l**2
Let s = 83/6 - 44/3. Let r = -13/30 - s. Determine z, given that -1/5*z**2 + 0 + 1/5*z**4 + r*z - 2/5*z**3 = 0.
-1, 0, 1, 2
Let n(t) be the third derivative of t**7/105 - 11*t**6/180 - 2*t**5/15 + t**4 - 16*t**3/9 - t**2 + 13*t. Determine c, given that n(c) = 0.
-2, 2/3, 1, 4
Let l(a) be the second derivative of -3*a**5/20 - 7*a**4/4 + 4*a**3 + 2*a - 590. Let l(j) = 0. Calculate j.
-8, 0, 1
Let b = 3 + -1. Let l = -3379 + 3379. Determine m so that -1/9*m**5 + 2/9*m**b + 1/9*m + l*m**3 - 2/9*m**4 + 0 = 0.
-1, 0, 1
Let s(n) = 8*n + 64. Let q = -202 - -194. Let g be s(q). Factor 0 + 2/5*b**3 + g*b**2 + 4/5*b**4 + 2/5*b**5 + 0*b.
2*b**3*(b + 1)**2/5
Factor -34*c**5 - 5*c - 13*c**2 - 5*c**2 + 5*c - 21*c**3 + 37*c**5.
3*c**2*(c - 3)*(c + 1)*(c + 2)
Suppose 18*y - 12*y - 3990 = 0. Find c, given that 32*c**3 + 10*c**5 + y*c**2 + 21*c**4 + 13*c**4 - 657*c**2 = 0.
-2, -1, -2/5, 0
Let o be (-4956)/(-224) + -21 + -1*1/4. Suppose 1/4*n - o*n**2 + 0 = 0. Calculate n.
0, 2/7
Let m = 2648/7953 + 1/2651. Suppose -2*y + 1 = -3. Determine f, given that 0*f**3 - f**y + m*f**4 - 2/3*f + 0 = 0.
-1, 0, 2
Let a(v) be the first derivative of v**4/30 - 16*v**3/45 - 19*v**2/15 - 4*v/3 - 147. Determine r so that a(r) = 0.
-1, 10
Let r(c) be the second derivative of c**7/42 - 2*c**5/5 - c**4/2 + 7*c**3/6 + 3*c**2 + 4*c - 81. Suppose r(f) = 0. Calculate f.
-2, -1, 1, 3
Let k(z) = -5*z**5 + 6*z**4 - 3*z**3 - 34*z**2 + 4*z + 32. Let o(w) = -w**5 - w**3 + w**2 + w. Let u(l) = -k(l) + 4*o(l). Let u(v) = 0. Calculate v.
-2, -1, 1, 4
Let l be 1 + 11/5 + 52/65. Let 0 - 2/3*n**l - 2/3*n**5 - 4/3*n + 2/3*n**2 + 2*n**3 = 0. Calculate n.
-2, -1, 0, 1
Factor 15*m**2 - 20/3 + 80/3*m.
5*(m + 2)*(9*m - 2)/3
Suppose 2*h - 10 = -4*f, -2*f = -4*h - 7*f + 35. Suppose -q - 13 = -h. Find b, given that -6/11*b + 0 + 2/11*b**q = 0.
0, 3
Let u be (-4)/28*-2 - 66/378. Let c(t) be the second derivative of -6*t + 1/30*t**5 - u*t**3 - 1/90*t**6 + 0*t**4 + 0 + 1/6*t**2. Factor c(l).
-(l - 1)**3*(l + 1)/3
Let x(p) be the second derivative of -3*p**6/80 + 3*p**5/80 + p**4/8 - p**3/8 - 3*p**2/16 + 285*p - 1. Find h such that x(h) = 0.
-1, -1/3, 1
Let z(a) be the second derivative of 2/5*a**6 - 3/7*a**7 + 0*a**2 + 0 + 6*a + 0*a**3 + 2*a**5 + 4/3*a**4. Let z(p) = 0. What is p?
-2/3, 0, 2
Suppose 57*l + a = 53*l + 3, -4*l = -4*a + 12. Let q(j) be the third derivative of 1/120*j**5 - 1/12*j**4 + 8*j**2 + 0*j**3 + 0 + l*j. Factor q(v).
v*(v - 4)/2
Let o(k) be the first derivative of -k**3/5 - 3*k**2/5 + 77. Suppose o(v) = 0. What is v?
-2, 0
Solve 3390 + 10*a - 1670 - 1690 - 3*a**2 + 17*a = 0.
-1, 10
Let o(h) = -162*h**2 - 1113*h - 1940. Let t(v) = -486*v**2 - 3340*v - 5814. Let i(a) = -8*o(a) + 3*t(a). Find y, given that i(y) = 0.
-31/9
Let h(k) be the third derivative of -1/180*k**5 + 1/9*k**3 + 3*k**2 + 0 + 0*k - 1/72*k**4. Factor h(d).
-(d - 1)*(d + 2)/3
Suppose -47*o + 32*o - 100 = -35*o. Suppose -20/3*k**o + 0 + 25/2*k**3 - 25/3*k**4 + 25/6*k**2 - 5/3*k = 0. Calculate k.
-2, -1/2, 0, 1/4, 1
Let n(v) = -v**4 - 5*v**3 + 5*v**2 - 9*v + 9. Let k(t) = -t**2 - t + 1. Let h(m) = -18*k(m) + 2*n(m). Factor h(c).
-2*c**2*(c - 2)*(c + 7)
Factor -4*j**2 + 25*j**2 - 9*j - 69*j**4 - 15*j**3 + 72*j**4.
3*j*(j - 3)*(j - 1)**2
Let o = -1047/2 + 7333/14. Determine w, given that o*w**2 + 8/7 - 8/7*w = 0.
2
Let m(p) be the third derivative of -4/3*p**3 + 0 + 3*p**2 - 1/18*p**4 + 2/45*p**5 + 0*p. Solve m(f) = 0 for f.
-3/2, 2
Let x be 5 - (4 + (2 - 6)). Factor -12*t**3 + 10*t**4 - 7*t**4 + 18 - x*t**4 + 12*t - 16*t**2.
-2*(t - 1)*(t + 1)*(t + 3)**2
Let d(t) = t**2 + 6*t - 2. Let q = -26 + 19. Let z be d(q). Let -2*o**4 - 5*o**3 + 8*o**3 - 4*o**4 - 2*o**5 + 5*o**z = 0. Calculate o.
0, 1
Suppose h + 12 = -4*r, 4987*h + r + 20 = 4991*h. Solve 3*a**2 + 3/2*a**h + 0*a - 9/2*a**3 + 0 = 0.
0, 1, 2
Let z(l) = -l**2 + 2*l + 85. Let g be 3/(-4)*11 + 2/8. Let h be z(g). Determine n, given that -18/7*n**3 - 2*n**2 - 10/7*n**4 + 0 - 4/7*n - 2/7*n**h = 0.
-2, -1, 0
Factor 170*a**2 + 210*a**2 - 127*a**2 - 3432*a + 8712 + 85*a**2.
2*(13*a - 66)**2
Let n(j) be the third derivative of j**7/1260 + j**6/10 + 24*j**5/5 + 96*j**4 - 106*j**2. Suppose n(d) = 0. What is d?
-24, 0
Factor -4 + 2/3*m**3 + 0*m**2 - 14/3*m.
2*(m - 3)*(m + 1)*(m + 2)/3
Let k = 302015655/583 + -518037. Let o = k - -2/53. Suppose 2/11 + 6/11*h**2 + o*h**3 + 6/11*h = 0. Calculate h.
-1
Factor 2/9*v**2 + 152/3*v + 2888.
2*(v + 114)**2/9
Let w(m) = 5*m**3 - 2*m**2 - 3*m + 3. Let v be w(3). Factor -4 - v*n**3 - 130*n**2 - 36*n - 16*n**4 + 33*n**2 + 39*n**3.
-(n + 2)**2*(4*n + 1)**2
Let r(p) be the second derivative of -3*p**5/5 + 7*p**4/3 + 12*p**3 + 16*p**2 + p + 2. Factor r(u).
-4*(u - 4)*(u + 1)*(3*u + 2)
Let o = -6279 - -43957/7. Solve -o*i + 1/7*i**2 + 3/7 = 0.
1, 3
Let c(h) be the second derivative of h**6/15 - 9*h**5/5 - 13*h**4/2 - 20*h**3/3 - 49*h + 4. Factor c(m).
2*m*(m - 20)*(m + 1)**2
Let d(u) be the first derivative of -14*u**3/3 + u**2/2 + 3*u + 35. Let f(p) = -14*p**2 + 4. Let k(j) = 4*d(j) - 3*f(j). Determine h so that k(h) = 0.
0, 2/7
What is y in 0 + 10/11*y**2 + 2/11*y**3 - 12/11*y = 0?
-6, 0, 1
Factor 2/21*l**3 + 8/21*l**2 - 4/7 + 2/21*l.
2*(l - 1)*(l + 2)*(l + 3)/21
Suppose 244 = 82*y + 80. Suppose 0 + 2/9*u**y + 0*u = 0. Calculate u.
0
Let o(g) be the third derivative of 2/525*g**7 - 1/75*g**6 + 5*g**2 + 8/15*g**3 - 1/25*g**5 + 0*g + 0 + 2/15*g**4. What is v in o(v) = 0?
-1, 2
Suppose 0 = -2*x + 5*z + 6, -5*x - 3*z + 12 = -3. Solve 48*b**2 - 13*b**x - 23*b**3 - 5*b - 11*b = 0 for b.
0, 2/3
Factor -14*q + 1/8*q**2 + 111/8.
(q - 111)*(q - 1)/8
Let k(v) be the second derivative of -4 - v + 3/20*v**5 + 1/2*v**4 + 1/2*v**3 + 0*v**2. Determine b, given that k(b) = 0.
-1, 0
Let k(q) be the third derivative of 2*q**7/105 + 13*q**6/30 + 4*q**5/5 + 206*q**2. Factor k(y).
4*y**2*(y + 1)*(y + 12)
Let u(p) be the third derivative of -p**5/12 + 35*p**4/6 - 45*p**3/2 + p**2 - p. What is j in u(j) = 0?
1, 27
Factor 128/3*c + 8/9*c**2 + 512/9 + 2/9*c**4 - 8/3*c**3.
2*(c - 8)**2*(c + 2)**2/9
Let s = 12 + -10. Factor s*o**2 - 7*o**2 + 7*o**2 + 2*o**2 - 28 - 24*o.
4*(o - 7)*(o + 1)
Suppose -n + 4*n - 22 = 4*v, 3*n + 2 = -2*v. Suppose 3*p - 8 = d - 0, -5*d + 11 = n*p. Let 6*q**2 - 3 - 6*q - p*q**2 - 6*q**2 = 0. What is q?
-1
Let y(z) be the first derivative of z**5/30 + 5*z**4/8 + 8*z**3/3 + 11*z**2/3 - 977. Factor y(q).
q*(q + 2)**2*(q + 11)/6
Let b(d) = -80*d**3 - 35*d**2 + 80*d - 35. Let y(x) = 9*x**3 + 4*x**2 - 9*x + 4. Suppose -2*l - 5 = 3. Let j(i) = l*b(i) - 35*y(i). Factor j(p).
5*p*(p - 1)*(p + 1)
Let i(r) be the first derivative 