14*a**2 + 399 - 1190.
-2*(a - 1)**3*(a + 20)
Let s(w) = 3*w**3 - 11*w**2 + 20*w + 4. Let g(c) = -3*c**3 + 10*c**2 - 22*c - 5. Let d(a) = -4*g(a) - 5*s(a). Find z, given that d(z) = 0.
0, 1, 4
Let z(h) be the second derivative of -5*h**4/24 + 13*h**3/12 + 3*h**2/2 + h - 7. Factor z(w).
-(w - 3)*(5*w + 2)/2
Let j(c) = c**4 - c**3 - c**2 - c. Let g(r) = -12*r**4 - 16*r**3 - 18*r**2 - 2*r. Let u = -10 + 9. Let n(a) = u*g(a) - 6*j(a). Determine q, given that n(q) = 0.
-2, -1, -2/3, 0
Let u be (-39)/26*(-2 - -4). Let y be (-2)/(((-3)/(-9)*u)/1). Factor 3/4 + 3/2*m + 3/4*m**y.
3*(m + 1)**2/4
Suppose 153 = 28*x + 23*x. Factor 0*t**4 - 8/7*t**x + 6/7*t - 4/7 + 2/7*t**5 + 4/7*t**2.
2*(t - 1)**3*(t + 1)*(t + 2)/7
Let i(r) be the first derivative of 0*r - r**2 + 2/3*r**3 + 39. Factor i(u).
2*u*(u - 1)
What is l in 128/5 + 9/5*l**4 + 14/5*l**3 - 56/5*l**2 - 96/5*l + 1/5*l**5 = 0?
-4, 1, 2
Let q be (-2)/7 + (-561)/(-2233). Let x = 33/116 + q. Factor 0*v + 0 + 3/4*v**3 - 1/2*v**4 - x*v**2.
-v**2*(v - 1)*(2*v - 1)/4
Let w be 2/8 + 5*(-55)/(-100). Let n be -3 + ((-90)/(-6))/w. Factor 2/7 + 8/7*y + 8/7*y**n.
2*(2*y + 1)**2/7
Let f be 24/(-18)*(-1 - 2). Suppose f*m - 7*m = 0. Factor m*k - 2/7*k**4 + 0*k**2 + 0 + 4/7*k**3.
-2*k**3*(k - 2)/7
Let s(i) = 12*i - 117. Let q be s(10). Let v(l) be the second derivative of 0 - 1/72*l**4 - q*l + 0*l**3 + 1/12*l**2. What is y in v(y) = 0?
-1, 1
Let b be (-20)/(-30)*(-3)/(-10). Suppose 9*h = 36 - 9. Factor 1/5*r**2 - b*r**h + 0 + 0*r.
-r**2*(r - 1)/5
Suppose 4*g - 12 = 2*w, -g + 3 = w + w. Let j(t) be the first derivative of -3/20*t**5 + 0*t**2 + 0*t**g - 2 + 0*t - 1/16*t**4. Let j(m) = 0. Calculate m.
-1/3, 0
Let s(i) be the third derivative of -i**5/60 - 15*i**2. Let v(k) = -25*k**2 - 10*k - 5. Let a(b) = 20*s(b) - v(b). Factor a(q).
5*(q + 1)**2
Let a(j) be the third derivative of -1/24*j**4 - 1/3*j**3 + 0*j + 17*j**2 + 0 + 1/60*j**5. Suppose a(w) = 0. What is w?
-1, 2
Suppose 81 = -6*f + 11*f - 2*o, -3*f + o = -48. Suppose -g = 2*a - f, -20 = -5*a + a. Factor -4/7*d**3 + 0*d**4 + 0*d**2 + 2/7*d + 2/7*d**g + 0.
2*d*(d - 1)**2*(d + 1)**2/7
Let y(v) be the second derivative of 5*v**7/7 + 134*v**6/15 - 321*v**5/10 + 36*v**4 - 44*v**3/3 + 2*v - 5. Solve y(x) = 0 for x.
-11, 0, 2/5, 2/3, 1
Let c(f) be the second derivative of 0*f**3 + 1/25*f**5 + 0*f**2 - 1/45*f**6 + 3*f + 5 - 1/90*f**4. Factor c(k).
-2*k**2*(k - 1)*(5*k - 1)/15
Let o be 9/(-270)*10/(-10). Let y(g) be the first derivative of -1/4*g**2 + 1/18*g**3 + o*g**5 - 1/3*g - 1 + 1/8*g**4. Factor y(h).
(h - 1)*(h + 1)**2*(h + 2)/6
Let c(q) be the first derivative of 4*q**2 - 64*q - 44 - 1/12*q**3. Suppose c(r) = 0. Calculate r.
16
Let y(s) be the third derivative of 0*s**3 - 1/36*s**4 - 1/60*s**5 - 1/360*s**6 + 0 + 6*s**2 + 0*s. Determine j, given that y(j) = 0.
-2, -1, 0
Let y be 13/(-845)*-13*(-30)/(-9). Factor -1/3*j - y + 1/3*j**2.
(j - 2)*(j + 1)/3
Let d(k) be the first derivative of -125/7*k**4 + 14 + 400/7*k**3 - 480/7*k**2 + 256/7*k. Factor d(m).
-4*(5*m - 4)**3/7
Suppose -4*c = -12*b + 10*b - 6, -b = -5*c + 9. Let r(a) be the first derivative of -32/3*a**3 - 11*a**c - 2 - 7/2*a**4 - 4*a. Factor r(d).
-2*(d + 1)**2*(7*d + 2)
Let b(m) be the second derivative of -m**5/80 - m**4/48 + m**3/24 + m**2/8 - 6*m - 1. Factor b(l).
-(l - 1)*(l + 1)**2/4
Determine r so that -2*r**4 - 231*r**3 - 4*r - 4*r**2 + r**2 + 223*r**3 - 7*r**2 = 0.
-2, -1, 0
Let u(z) = -5*z**2 - 17*z. Let s(c) = c**3 - 16*c**2 - c + 7. Let y be s(16). Let w(m) = -m**2 - 4*m. Let v(r) = y*w(r) + 2*u(r). Let v(n) = 0. Calculate n.
0, 2
Let h(j) = -2*j**2 + j + 3. Let k(z) = -5*z**3 + 640*z**2 - 26465*z + 370425. Let l(v) = -5*h(v) - k(v). Factor l(n).
5*(n - 42)**3
Suppose 2*f + h - 2*h - 5 = 0, -4 = -4*h. Suppose 9 = q + f. Solve -u**3 + 3*u**3 - 4*u + 0*u**2 + 6*u**4 - q*u**2 + 2*u**5 = 0.
-2, -1, 0, 1
Let r(x) be the third derivative of -x**5/120 - 89*x**4/12 - 7921*x**3/3 + 19*x**2. Suppose r(y) = 0. Calculate y.
-178
Suppose -4/9 - 4/9*f**5 - 8/9*f**2 + 4/3*f + 4/3*f**4 - 8/9*f**3 = 0. Calculate f.
-1, 1
Let s(j) be the third derivative of 2*j**7/525 + 7*j**6/120 - 49*j**5/300 + j**4/12 - 3*j**2 + 4*j. Factor s(q).
q*(q - 1)*(q + 10)*(4*q - 1)/5
Let l be ((88*-25)/(-4))/1. Let o be l/143 - 2/(-13). Determine u so that 8 + 0*u**2 + 4*u**3 - o*u**2 - 4*u - 4*u**2 + 0*u = 0.
-1, 1, 2
Let a(m) = -34*m**3 + 25*m**2 + 6*m - 3. Let x(w) = -172*w**3 + 126*w**2 + 30*w - 16. Let y(r) = -16*a(r) + 3*x(r). Factor y(c).
2*c*(c - 1)*(14*c + 3)
Suppose 0*s = -3*s + 9. Suppose -s*y - 2*y = -15. Factor -y*v**4 - v**3 + 4*v**3 + v**3 + v**5 - 2*v**3.
v**3*(v - 2)*(v - 1)
Let u(v) = -4*v**2 - 42*v + 28. Let w(n) = -n**2 - 10*n + 7. Let q(b) = 2*u(b) - 9*w(b). Find g such that q(g) = 0.
-7, 1
Solve -1 + 3*k - 5/4*k**2 = 0.
2/5, 2
Let t(u) be the first derivative of -11 + 0*u + 5/48*u**4 - 1/3*u**3 + 1/6*u**2. Factor t(r).
r*(r - 2)*(5*r - 2)/12
Let s(y) be the first derivative of -y**8/168 - 2*y**7/105 + 8*y**2 + 14. Let w(k) be the second derivative of s(k). Factor w(i).
-2*i**4*(i + 2)
Let x = 21 + -18. What is g in -2*g**3 + 5*g**3 - 9*g**3 + 5*g + 5*g**5 - 4*g**x = 0?
-1, 0, 1
Let h(w) be the second derivative of w**6/270 - 7*w**5/90 + 4*w**4/9 + 7*w**3/27 - 49*w**2/18 + 309*w. Suppose h(y) = 0. Calculate y.
-1, 1, 7
Suppose -9*f = 6*f - 30. Let o(a) be the second derivative of -1/4*a**f + 0*a**3 + 1/24*a**4 + 9*a + 0. Determine p, given that o(p) = 0.
-1, 1
Determine b so that -23/4*b**2 + 15/2*b**3 - 2*b**4 + 1 - 3*b = 0.
-1/2, 1/4, 2
Find q such that -92/11*q**2 + 0 + 1058/11*q + 2/11*q**3 = 0.
0, 23
Let h(q) be the second derivative of q**5/130 - 3*q**4/26 - 7*q**3/13 - 11*q**2/13 - 54*q. Let h(f) = 0. What is f?
-1, 11
Let q(c) be the third derivative of -1/7*c**3 + 41*c**2 + 0 + 0*c - 1/210*c**5 + 1/21*c**4. Factor q(m).
-2*(m - 3)*(m - 1)/7
Let r = -4333/12 - -1471/4. Solve r*v + 4/3 - 20/3*v**3 - 4/3*v**2 = 0.
-1, -1/5, 1
Let c(g) be the third derivative of 13*g**2 - 1/315*g**7 + 0 - 1/9*g**3 + 1/36*g**4 - 1/90*g**6 + 0*g + 1/45*g**5 + 1/504*g**8. Suppose c(p) = 0. What is p?
-1, 1
Let z(u) be the first derivative of -u**7/560 - 3*u**6/80 - 4*u**3/3 + 16. Let t(x) be the third derivative of z(x). Find n such that t(n) = 0.
-9, 0
Let u(x) be the first derivative of -3*x**4/20 + 8*x**3/5 - 3*x**2/2 - 42*x/5 - 38. Find c such that u(c) = 0.
-1, 2, 7
Let b be 0*(1/6 + -1)*285/475. Let 0*s + 0*s**4 + b - 2/5*s**2 + 1/5*s**5 - 3/5*s**3 = 0. Calculate s.
-1, 0, 2
Let x(o) be the second derivative of -o**5/10 - 4*o**4 - 64*o**3 - 512*o**2 + 153*o. Factor x(l).
-2*(l + 8)**3
Find r, given that 20/7*r**4 - 64/7*r + 0 - 2/7*r**5 - 72/7*r**3 + 16*r**2 = 0.
0, 2, 4
Factor -16/11*y - 10/11*y**2 + 0.
-2*y*(5*y + 8)/11
Suppose -2*j**4 + 60*j + 32 + 10*j**5 - 4*j**4 + 3*j**2 - 5*j**2 + 36*j**3 - 82*j**3 = 0. What is j?
-1, 8/5, 2
Let a(l) be the first derivative of l**4/4 - 5*l**3 + 27*l**2/2 - 13*l + 105. Factor a(h).
(h - 13)*(h - 1)**2
Find a such that 0 + 4/5*a**4 + 4/5*a + 14/5*a**2 + 14/5*a**3 = 0.
-2, -1, -1/2, 0
Let m(n) = n**2 - 9*n - 12. Suppose -35 = -5*f + 20. Let b be m(f). Factor -4*y**3 + 13*y**3 - 8*y**5 - b*y**4 - 3*y - 2*y**4 - 4*y**5 + 6*y**2.
-3*y*(y + 1)**2*(2*y - 1)**2
Let q be (-1 - (-13)/(-3))*3. Let x = q - -19. Factor -3*b + x*b - 1 - 2*b + b + 2*b**2 - b**4 - b**5 + 2*b**3.
-(b - 1)**2*(b + 1)**3
Suppose p - 19 = -4*u - 5, 0 = 5*u + 3*p - 21. Let f(j) be the first derivative of 8/5*j**5 + 0*j + j**2 + 4 - 1/2*j**4 - 8/3*j**u. Find t such that f(t) = 0.
-1, 0, 1/4, 1
Suppose 0 = a - 8*a + 42. Suppose a*o - 7 = 11. Solve -2/5*v**5 + 0*v + 6/5*v**4 - 4/5*v**o + 0 + 0*v**2 = 0.
0, 1, 2
Suppose 102*y - 2 = 101*y + 2*q, y = -5*q + 9. Solve 0*w**3 + 1/9*w**y + 0 - 2/9*w - 1/3*w**2 = 0.
-1, 0, 2
Let b be (3/(-6))/((-567)/2592). Factor 2/7*n**4 + b*n**2 - 8/7*n + 0 - 10/7*n**3.
2*n*(n - 2)**2*(n - 1)/7
Let q(u) be the first derivative of -6*u**4 + 45/2*u**3 + 32 - 12*u - 21/10*u**5 - 21/2*u**2. Determine a so that q(a) = 0.
-4, -2/7, 1
Let -2*r**3 + 0 + 2/3*r**5 + 2/3*r**2 + 4/3*r - 2/3*r**4 = 0. Calculate r.
-1, 0, 1, 2
Suppose 8*u**2 - 2*u**2 - 4*u**2 + 5*u - 60 - 3*u = 0. Calculate u.
-6, 5
Let q(p) = 3*p**4 + 6*p**3 - 6*p**2 - 4*p + p**2 + 5*p**2 + 3*p**2. Let n(b) = 4*b**4 + 7*b**3 + 4*b**2 - 