ivative of -15 - 1/15*n**3 - 3/5*n**2 + 1/20*n**4 + 0*n. Let k(j) = 0. What is j?
-2, 0, 3
Suppose -16 = 3*i - 7*i. Solve 6*d**2 + 3*d - 138*d**4 + 3*d**3 + 135*d**i - 3*d = 0 for d.
-1, 0, 2
Factor -66*v**2 - 86*v - 5*v - 120 + 4*v**3 - 81*v + 18*v**2.
4*(v - 15)*(v + 1)*(v + 2)
Suppose -5*a = 10 - 25. Suppose s - a*c = 9, s - c - 14 = -3*s. Find q such that -4*q**2 + 6*q - 4*q**4 - 8*q + q**5 + s*q + 0*q + 6*q**3 = 0.
0, 1
Let z(m) = 7*m**2 - 9*m + 2. Suppose -r + 2 = 0, 0*r = 3*g + 5*r - 22. Let t(l) = -3 - 6*l**2 + 0 + 2*l + 7*l. Let q(n) = g*t(n) + 3*z(n). Factor q(y).
-3*(y - 2)*(y - 1)
Determine z so that 1/3*z**2 - 122/3 - 121/3*z = 0.
-1, 122
Let r = -116 + 122. Let b be ((5 - r) + 2)*4. Factor 0 + 2/11*z**3 - 4/11*z**b + 0*z + 0*z**2.
-2*z**3*(2*z - 1)/11
Suppose -2*f + 5*f - 18 = 0. Suppose 9 = k + f. Find s, given that 11*s**3 - k*s**2 - 19*s**3 + 0*s**2 - 3*s**4 + 14*s**3 = 0.
0, 1
Let v = -39743/2 + 19872. Let -r**3 + 0 - v*r**4 + 1/2*r**2 + r = 0. Calculate r.
-2, -1, 0, 1
Suppose 39*k + 272 = -459 + 887. Find y, given that 0*y**k + 6/7*y**5 + 12/7*y**2 - 18/7*y**3 + 0 + 0*y = 0.
-2, 0, 1
Suppose -5*r = 3*m + 3, 0 = 2*m - 0*m - 5*r - 23. Factor w + 4*w**3 + 2*w**m + 9*w**3 + 3*w - 2*w**2 - 17*w**3.
2*w*(w - 2)*(w - 1)*(w + 1)
Factor 3/2*t**2 - 81/2 + 9*t.
3*(t - 3)*(t + 9)/2
Factor 5657*y + 1714*y + 254*y**2 + 8758*y + y**3.
y*(y + 127)**2
Let q = 555 + -2757/5. Let -q + 9*p**2 + 3/5*p = 0. Calculate p.
-2/3, 3/5
Let x be 2*-17*4/56. Let f = 181/14 + x. Let -f*n**3 + 3*n**2 + 0 + 0*n = 0. Calculate n.
0, 2/7
Let 68/9*d**2 - 2/9*d**5 + 8/3*d - 4/3*d**4 + 2/9*d**3 - 80/9 = 0. What is d?
-5, -2, 1, 2
Let g be 12/78 - 1010/(-26). Let q = -37 + g. Suppose 1/2*p**3 + 0*p + 0 - q*p**2 = 0. What is p?
0, 4
Let o be ((-25)/(-12) - 2)*(184 - 182). What is f in 0 + 1/3*f**3 - o*f**5 + 0*f**4 - 1/6*f + 0*f**2 = 0?
-1, 0, 1
Let c(v) be the second derivative of -1/16*v**4 + 3/80*v**5 + 0*v**3 - 1/56*v**7 + 1/40*v**6 + 0*v**2 + 2*v + 0. Suppose c(w) = 0. What is w?
-1, 0, 1
Let t(v) be the second derivative of v**7/315 - v**6/180 - v**5/15 - 21*v**2 - 14*v. Let l(s) be the first derivative of t(s). Factor l(j).
2*j**2*(j - 3)*(j + 2)/3
Let h(v) be the second derivative of -v**7/2100 + v**6/180 - 2*v**5/75 + v**4/15 - 7*v**3/6 - 7*v. Let y(j) be the second derivative of h(j). Factor y(f).
-2*(f - 2)**2*(f - 1)/5
Solve 4*j**4 + 53*j - 7*j**3 - 4*j**3 - 12 - 2*j**4 - 11*j**2 + 0*j**3 - 21*j = 0.
-2, 1/2, 1, 6
Let k(g) be the third derivative of g**7/504 + g**6/36 + 7*g**4/24 - 3*g**2. Let l(y) be the second derivative of k(y). Factor l(j).
5*j*(j + 4)
Factor -1/6*p**4 - 4*p**3 + 0 + 79/6*p**2 - 9*p.
-p*(p - 2)*(p - 1)*(p + 27)/6
Let b(r) = -r**2 + 9*r - 8. Let s be b(5). Suppose v + 7 + 2 = 4*o, 4*v = s. Factor 2*k**o + 8*k**2 - 7*k**2 + k**2.
2*k**2*(k + 1)
Determine s, given that 6/13*s - 20/13 + 2/13*s**2 = 0.
-5, 2
Let i = 5929/24 + -247. Let t(m) be the third derivative of 0*m + i*m**4 - 1/3*m**3 + 1/30*m**5 + 0 - 3*m**2 - 1/120*m**6. Factor t(r).
-(r - 2)*(r - 1)*(r + 1)
Factor -70*s - 252 - 22*s**2 - s**3 + 26*s + 3*s**2 - 76*s.
-(s + 6)**2*(s + 7)
Let s(j) = 2*j**2 - 27*j. Let z(f) = f**2 - 9*f. Let g(w) = -2*s(w) + 7*z(w). Factor g(t).
3*t*(t - 3)
Let s(w) be the third derivative of 0*w - 7/48*w**4 + 5/36*w**3 + 0 + 31/360*w**6 - 1/60*w**5 - 1/224*w**8 + 11/420*w**7 + 40*w**2. Let s(f) = 0. Calculate f.
-1, 1/3, 5
Let w = -4 - 2. Let l(c) = 10*c**2 + 44*c + 13. Let v(b) = 110*b**2 + 484*b + 142. Let a(t) = w*v(t) + 68*l(t). Factor a(m).
4*(m + 4)*(5*m + 2)
Let g(q) be the first derivative of 0*q**2 - 1/4*q**4 + 0*q + 10 - 1/2*q**6 + 0*q**3 + 4/5*q**5. Find d such that g(d) = 0.
0, 1/3, 1
Let r(n) be the first derivative of -n**4/30 - n**3/5 + 4*n**2/5 - 37*n + 24. Let k(p) be the first derivative of r(p). Suppose k(d) = 0. Calculate d.
-4, 1
Let z(p) be the second derivative of p**6/900 + p**5/150 + p**4/60 - 10*p**3/3 + 17*p. Let a(r) be the second derivative of z(r). Factor a(t).
2*(t + 1)**2/5
Let d(f) be the second derivative of f**4/66 + 4*f**3/33 + 117*f. Factor d(m).
2*m*(m + 4)/11
Let b(p) = p**3 - 125*p**2 + 237*p - 6. Let n(g) = 4*g**3 - 376*g**2 + 712*g - 16. Let v(q) = -8*b(q) + 3*n(q). Factor v(i).
4*i*(i - 30)*(i - 2)
Let l = -62 - -67. Let y(m) = 16*m**2 + 25*m + 2. Let r(p) = -11*p**2 - 17*p - 1. Let a(x) = l*y(x) + 7*r(x). Factor a(o).
3*(o + 1)**2
Let b(z) be the third derivative of -1/75*z**5 - 1/20*z**4 + 0 + 0*z + 2/15*z**3 - 7*z**2 + 1/100*z**6. Let b(a) = 0. What is a?
-1, 2/3, 1
Let y = -31/11 + 290/99. Find a such that 2/9*a + 1/9 + y*a**2 = 0.
-1
Let q(g) be the second derivative of -g**7/10 - 19*g**6/50 - 3*g**5/100 + 23*g**4/20 + 4*g**3/5 - 6*g**2/5 + g - 19. Solve q(x) = 0.
-2, -1, 2/7, 1
Let b(s) be the second derivative of 0*s**4 - 16/7*s**2 + 0 - 4/7*s**3 + 1/70*s**5 + 8*s. Factor b(m).
2*(m - 4)*(m + 2)**2/7
Factor 75/4*o - 75/4*o**3 + 5/4*o**4 + 0 - 5/4*o**2.
5*o*(o - 15)*(o - 1)*(o + 1)/4
Let f(c) be the first derivative of -4*c**5/45 - c**4/6 - 2*c**3/27 - 89. Factor f(t).
-2*t**2*(t + 1)*(2*t + 1)/9
Let u = -157/11 - -796/55. Let 1/2*l**3 + u + 9/10*l + 6/5*l**2 = 0. Calculate l.
-1, -2/5
Let x(l) be the third derivative of -l**6/30 - 26*l**5/15 - 26*l**2 - l. Determine f so that x(f) = 0.
-26, 0
Let r(d) be the third derivative of 5*d**8/168 - d**7/105 - 19*d**6/60 - 7*d**5/30 + 7*d**4/6 + 8*d**3/3 + 13*d**2 - 10*d. Solve r(t) = 0.
-1, -4/5, 1, 2
Let s(h) be the first derivative of 4/3*h - 33 + 11/6*h**4 + 16/3*h**3 + 5*h**2. Factor s(c).
2*(c + 1)**2*(11*c + 2)/3
Let p = -17 - -14. Let h be 5*p/(120/(-4)). Factor 1/2*f + h*f**2 - 1.
(f - 1)*(f + 2)/2
Let o be ((-805)/(-150))/(-23)*8/(-14). Let i(p) be the first derivative of -3/5*p**2 + 8/5*p - 6 - o*p**3. Solve i(r) = 0.
-4, 1
Let y be (466/(-9087))/(2/(-78)). Factor 2/7*d**y + 4/7 - 6/7*d.
2*(d - 2)*(d - 1)/7
Let i(r) be the second derivative of -4000*r**7/63 + 40*r**6/3 - r**5 + r**4/36 + 2*r + 53. Factor i(t).
-t**2*(20*t - 1)**3/3
Let v be 2/(-9) - (-1)/(54/2280). Let p be ((-12)/9)/(v/(-9)). Let 1/7*c**3 + 0 - 1/7*c**2 - p*c = 0. What is c?
-1, 0, 2
Let m be (352/(-165))/(-8) - -1. Let o(s) be the first derivative of 5/4*s**4 + 7/18*s**6 - 1/9*s**3 - 1/3*s**2 + 7 + 0*s - m*s**5. Factor o(c).
c*(c - 1)**3*(7*c + 2)/3
Let t = -7014 + 28063/4. Let 0 + 3/4*n**5 + t*n**4 + 0*n - 7/4*n**3 - 3/4*n**2 = 0. Calculate n.
-3, -1/3, 0, 1
Determine b, given that 8/3 + 4*b + 2/3*b**2 - 1/3*b**4 - b**3 = 0.
-2, -1, 2
Let z(k) be the first derivative of k**3/6 + 5*k**2/2 - 11*k/2 + 576. Factor z(i).
(i - 1)*(i + 11)/2
Let y be (-186)/620*(-4)/6. Factor y - 1/5*d**2 - 1/5*d**3 + 1/5*d.
-(d - 1)*(d + 1)**2/5
Suppose -10*r**4 + 15*r**4 - 16*r**2 + 9*r - 5*r**5 - 3*r**4 - 5*r + 15*r**3 = 0. Calculate r.
-2, 0, 2/5, 1
Let n(q) = q**2 + 21*q - 11. Let f be n(-19). Let x = 148/3 + f. Suppose -x*l**4 + 2/3*l**2 + 0*l + 0*l**3 - 1/3 = 0. Calculate l.
-1, 1
Let s(w) = 2*w**3 + w**2 + w + 2. Let u(n) = -15*n**3 + 85*n**2 - 215*n + 85. Let g(o) = 10*s(o) + u(o). Factor g(i).
5*(i - 1)**2*(i + 21)
Let n(s) be the first derivative of 0*s**3 + 1/4*s**6 + 1/2*s**4 + 0*s**2 - 9 - 4/5*s**5 + 0*s. Let n(h) = 0. What is h?
0, 2/3, 2
Suppose 25 = 7*c - 10. Suppose -c*n = 5, -5*j - 4*n + n = -12. Find d such that 4*d**j + 6/7*d**4 + 46/7*d**2 + 8/7 + 32/7*d = 0.
-2, -1, -2/3
Let z(b) be the third derivative of 1/315*b**7 + 0*b**3 - 19*b**2 + 0*b**4 + 0 + 0*b - 1/180*b**6 - 1/45*b**5. Let z(r) = 0. Calculate r.
-1, 0, 2
Let b(a) be the first derivative of a**3/3 - 5*a**2/2 - 14*a - 1. Determine z, given that b(z) = 0.
-2, 7
Determine q so that 82*q**5 - 40*q**2 + 80*q - 18*q**4 - 80*q**3 - 87*q**5 + 80 - 17*q**4 = 0.
-2, 1
Let q be 4 + 147/(-35) + (-16)/(-5). Determine s so that -6*s**2 - 27*s**q - 3*s**4 + 18*s**3 + 0 + 0 = 0.
-2, -1, 0
Let t(y) be the second derivative of 0 + 1/2*y**2 - 3/40*y**5 + 13/48*y**4 - 1/2*y**3 - 14*y + 1/120*y**6. Factor t(s).
(s - 2)**2*(s - 1)**2/4
Let n(a) be the second derivative of -a**7/21 - a**6/5 + 19*a**5/10 + a**4/2 - 6*a**3 + 173*a. Solve n(h) = 0 for h.
-6, -1, 0, 1, 3
Factor -2/13*w**2 - 44/13 - 2*w.
-2*(w + 2)*(w + 11)/13
Let -4/9*z**5 + 0 - 56/9*z**2 - 20/3*z**3 - 26/9*z**4 - 16/9*z = 0. What is z?
-2, -1/2, 0
Let f(w) = -15*w**2 + 4