q**3/3 + 117*q. What is w in v(w) = 0?
0, 2/5, 8
Let x(w) = -60*w**5 - 25*w**4 + 72*w**3 + 25*w**2 - 12*w. Let t(h) = -h**4 + h**2. Let v(u) = -6*t(u) + 2*x(u). Suppose v(s) = 0. What is s?
-1, -2/3, 0, 3/10, 1
Let f(z) be the third derivative of -1/600*z**6 + 1/1680*z**8 + 0 + 0*z**4 + 0*z - 7/300*z**5 + 2/15*z**3 + 1/350*z**7 + 6*z**2. Determine t so that f(t) = 0.
-2, -1, 1
Let x(b) be the third derivative of b**6/20 - 8*b**5/15 + 23*b**4/12 - 2*b**3 - 46*b**2. Factor x(k).
2*(k - 3)*(k - 2)*(3*k - 1)
Suppose 0 = 15*m + 7 - 67. Let f be 3/(-15)*(0 - (m + 0)). Factor -6/5*a**2 + f*a + 2/5*a**3 + 0.
2*a*(a - 2)*(a - 1)/5
Let c(j) be the first derivative of -j**3/3 + 13*j**2 + 744. Factor c(s).
-s*(s - 26)
Let k(p) be the third derivative of p**6/10 - 4*p**5/15 + p**4/6 + p**2 + 5*p. Suppose k(b) = 0. Calculate b.
0, 1/3, 1
Let y(k) be the first derivative of 16*k**5/5 + 45*k**4/4 - 3*k**3 - 465. Factor y(p).
p**2*(p + 3)*(16*p - 3)
Find j such that -36/5*j**2 + 2/5*j**3 + 0 + 4/5*j**4 - 18/5*j = 0.
-3, -1/2, 0, 3
Let g(s) = s**2 + 11*s - 10. Suppose -4*r = -t + 45, -2*t + t = 3. Let u be g(r). Let -4*n + 0*n**u + 3*n - n**2 + 2*n**2 = 0. What is n?
0, 1
Let r(k) be the second derivative of -5*k**4/12 + 25*k**3/6 + 60*k**2 - 6*k - 27. Factor r(l).
-5*(l - 8)*(l + 3)
Let m(g) = 21*g**2 - 9*g - 6. Let t(j) = 3*j**2 - j - 1. Let o(r) = m(r) - 6*t(r). Suppose o(s) = 0. Calculate s.
0, 1
Let n(b) be the third derivative of 7/6*b**4 + 0 + 3*b**2 + 1/6*b**6 + 14/15*b**5 + 0*b - 4/3*b**3. Let n(r) = 0. Calculate r.
-2, -1, 1/5
Let c(o) be the first derivative of 1/6*o**4 - 2/15*o**5 + 0*o**2 + 0*o - 9 + 4/9*o**3. Let c(n) = 0. Calculate n.
-1, 0, 2
Let b = 21 - 19. Suppose i = b*r, 0 = -3*r + i + i. Factor -1/5*l**5 + r*l + 0 + 1/5*l**3 - 1/5*l**2 + 1/5*l**4.
-l**2*(l - 1)**2*(l + 1)/5
Suppose -w - 4*s = -27, -2*w + 24 = -2*s + 4*s. Let r(y) = -10*y**3 - y**2 + y. Let d be r(-1). Factor 10*i**3 + 14*i**3 - w*i**4 + 4*i**2 - d*i**3 - 13*i**4.
-4*i**2*(i - 1)*(5*i + 1)
Let r(n) be the first derivative of 2*n**5/15 + 15*n**4/4 + 88*n**3/3 + 121*n**2/6 + 41. Factor r(l).
l*(l + 11)**2*(2*l + 1)/3
Let x(b) be the third derivative of 5*b**8/336 - 4*b**7/21 + b**6 - 17*b**5/6 + 115*b**4/24 - 5*b**3 - 10*b**2 - 7*b. Let x(o) = 0. What is o?
1, 2, 3
Let r(z) be the second derivative of -2*z**6/45 + 2*z**5/3 - 17*z**4/9 + 16*z**3/9 - 249*z. Solve r(i) = 0.
0, 1, 8
Let r = -161 - -43. Let l = -344/3 - r. Factor 16/3*p - 2/3*p**5 - 8/3*p**2 + l*p**4 - 4*p**3 + 0.
-2*p*(p - 2)**3*(p + 1)/3
Factor 0*d - 19*d**3 + 23*d**3 + 40*d + 0*d**3 - 28*d**2.
4*d*(d - 5)*(d - 2)
Let s = -58 + 48. Let q be 1 - (2/5)/(s/5). Factor -q + 4/5*i - 2/15*i**2.
-2*(i - 3)**2/15
Let a = 1975 - 1975. Find v such that -1/6*v + a + 1/6*v**2 = 0.
0, 1
Let f = -29 - -32. Suppose f*m = -4*z + 6, 2*m - 3 = 1. Let 2/13*t**2 + z - 2/13*t**3 + 0*t = 0. What is t?
0, 1
Let r(d) be the first derivative of 2*d**7/105 + 2*d**6/75 - d**5/75 + d**2 + 12. Let q(l) be the second derivative of r(l). Factor q(y).
4*y**2*(y + 1)*(5*y - 1)/5
Let o(b) be the second derivative of -2*b**7/21 + 8*b**6/15 - b**5 + 2*b**4/3 - 29*b. Let o(k) = 0. What is k?
0, 1, 2
Let l(d) be the first derivative of -2*d**3/7 + 222*d**2/7 - 8214*d/7 - 102. Factor l(p).
-6*(p - 37)**2/7
Let f be (-6)/(-18)*(-4)/(12/(-27)). Find l such that -15*l - 461*l**2 + 259*l**2 + 252*l**2 - 45*l**f + 10*l**4 = 0.
0, 1/2, 1, 3
Let w(h) be the second derivative of -h**4/21 + 16*h**3/7 + 104*h**2/7 + 26*h. Suppose w(f) = 0. Calculate f.
-2, 26
Let q be 16/60*70/28. Let i be 0/((2 - -1)/3). Solve q*l + 0*l**2 - 2/3*l**3 + i = 0 for l.
-1, 0, 1
Let h(f) be the first derivative of 4 - 1/12*f**4 + 2/9*f**3 + 0*f + 1/2*f**2. Factor h(m).
-m*(m - 3)*(m + 1)/3
Let b(i) be the second derivative of -2*i**4 + 0 + 1/2*i**2 + 23/6*i**3 + 6*i. Let j(x) = -12*x**2 + 12*x. Let l(f) = 3*b(f) - 5*j(f). What is k in l(k) = 0?
-1/4, 1
Let r(j) be the first derivative of -4*j**6/195 + j**5/10 - 11*j**4/78 + 2*j**3/39 - 15*j + 4. Let n(l) be the first derivative of r(l). Solve n(t) = 0 for t.
0, 1/4, 1, 2
Let x = 26 - -294. Factor -58*d**4 + 60*d**3 + 240*d**2 + 30*d**4 + x*d + 33*d**4.
5*d*(d + 4)**3
Let v(b) = -36*b**4 - 828*b**3 - 1492*b**2 - 700*b. Let s(n) = 4*n**4 + 92*n**3 + 166*n**2 + 78*n. Let q(r) = -28*s(r) - 3*v(r). What is a in q(a) = 0?
-21, -1, 0
Let u(q) be the first derivative of 2*q**7/105 + q**6/15 - q**5/15 - q**4/3 + 2*q**2 - 7. Let x(o) be the second derivative of u(o). Factor x(d).
4*d*(d - 1)*(d + 1)*(d + 2)
Let i(x) be the second derivative of x**7/9 + 16*x**6/15 + 21*x**5/10 - 5*x**4/9 - 10*x + 13. Suppose i(m) = 0. Calculate m.
-5, -2, 0, 1/7
Let a = -36 + 39. Find m, given that 11*m**2 + m**a - 5*m**2 - 6*m**2 = 0.
0
Factor -3/10*s + 7/10*s**2 + 0.
s*(7*s - 3)/10
Let q be ((-36)/54)/((-4)/(-18)) + (-18)/(-4). Factor -q*l + 3/4*l**2 + 3/4.
3*(l - 1)**2/4
Let r(x) = -2*x**4 + 8*x**3 + 7*x**2 - 3. Let s(l) = 3*l**4 - 9*l**3 - 7*l**2 + l + 4. Let h be (-2)/17 - (98/34 + 1). Let u(g) = h*r(g) - 3*s(g). Factor u(m).
-m*(m + 1)**2*(m + 3)
Determine x so that 478*x**5 - 760*x**3 - 9*x + 9*x + 28*x - 900*x**4 - 802*x**5 - 4 - 120*x**2 + 32*x = 0.
-1, 1/9
Let b = -8832 + 8834. Find u, given that -24/5 - 156/5*u + 147/5*u**3 - 42*u**b = 0.
-2/7, 2
Let m be (-276)/(-368) - (-49)/(-76). Determine n, given that -4/19 - 2/19*n**3 + 10/19*n - 6/19*n**2 + m*n**4 = 0.
-2, 1
Suppose 6184 = 4*l - m, l + 4*m - 755 = 774. Factor -l + 4*h**2 - 31*h**2 - 21*h + 1551.
-3*(h + 1)*(9*h - 2)
Let b = 259 + -3884/15. Let r(s) be the third derivative of 4*s**2 + 1/24*s**4 + 1/20*s**6 + b*s**5 + 0*s + 2/105*s**7 + 0 + 1/336*s**8 + 0*s**3. Factor r(w).
w*(w + 1)**4
Let f(t) be the second derivative of -t**4/6 - 3*t**3 - 14*t**2 + t + 38. Factor f(v).
-2*(v + 2)*(v + 7)
Let x(i) be the third derivative of -i**6/30 + 86*i**5/15 - 880*i**4/3 - 7744*i**3/3 + 2*i**2 + 94. Factor x(k).
-4*(k - 44)**2*(k + 2)
Factor -141*l**2 + 80*l + 103*l**2 + 39*l**2.
l*(l + 80)
Let v(h) be the first derivative of -1/20*h**5 - 3/8*h**4 - 11 - 1/12*h**3 + 3*h**2 - 4*h. Factor v(d).
-(d - 1)**2*(d + 4)**2/4
Factor 16 + 1/2*x**2 + 9*x.
(x + 2)*(x + 16)/2
Let b(i) be the third derivative of -i**6/720 - 11*i**5/360 - 7*i**4/144 + 49*i**3/12 + 12*i**2 + 7*i. Factor b(c).
-(c - 3)*(c + 7)**2/6
Let m = -16 + 19. Solve b**3 + m*b + 10*b**5 + 8*b**2 + 5*b**3 - 11*b**5 = 0.
-1, 0, 3
Let q(y) be the second derivative of y**4/72 + 4*y**3/9 + 16*y**2/3 + 340*y. Find h, given that q(h) = 0.
-8
Suppose -31 = -v - 1. Suppose -2*l = l - v. Factor 47*a**3 - 12 + 3*a**5 - 12*a**4 + 48*a - 9*a**4 + l*a**3 - 75*a**2.
3*(a - 2)**2*(a - 1)**3
Suppose -18 = 2*d - 3*s + 60, 2*d = 5*s - 86. Let m = -31 - d. Factor 2/7*q**3 + 8/7 - 6/7*q**m + 0*q.
2*(q - 2)**2*(q + 1)/7
Let v = 97588/7 + -13918. Let g = 901/35 - v. Factor 4/5*q**4 - 7/5*q + 1/5 + 3*q**2 - g*q**3.
(q - 1)**3*(4*q - 1)/5
Let x(b) be the third derivative of b**5/102 + 2*b**4/51 - 7*b**3/17 + 8*b**2 + 9*b. Factor x(t).
2*(t + 3)*(5*t - 7)/17
Let n = -376 - -214. Let f = n - -166. Find b such that -9*b**2 - 3/2*b**f - 6*b**3 - 3/2 - 6*b = 0.
-1
Let b = 230189/7 + -32883. Find n such that 0 + 16/7*n**3 + b*n + 20/7*n**2 + 4/7*n**4 = 0.
-2, -1, 0
Let k(y) = -5*y - 4 + 6*y**2 + 4*y - y. Let i = -136 - -132. Let b(o) = 5*o**2 - 2*o - 3. Let u(c) = i*k(c) + 5*b(c). Factor u(g).
(g - 1)**2
Suppose -4*k + 23 = -25. Let z = -9 + k. Determine f, given that -f**2 + 4*f + z*f**2 + f**2 + 2*f = 0.
-2, 0
Let q be (10/(-30))/((-1)/18*1). Let z(c) be the second derivative of 0*c**2 + 0*c**4 + 0*c**3 - 1/60*c**5 - 1/90*c**q + 0 + c. Factor z(a).
-a**3*(a + 1)/3
Let r(y) be the first derivative of 1/8*y**4 + 0*y + 5/4*y**6 + 54 + 19/10*y**5 - 1/2*y**3 + 0*y**2. What is q in r(q) = 0?
-1, -3/5, 0, 1/3
Suppose 14*f - 5*f + 162 = 0. Let g(t) = -3*t**3 - 9*t**2 + 12*t + 18. Let q(o) = 2*o + o - 1 - 4*o. Let p(c) = f*q(c) - g(c). Factor p(i).
3*i*(i + 1)*(i + 2)
Suppose -53 + 377 = 81*x. Let a = 1034/5 - 206. Suppose -1/5*s**5 - 2/5 + 0*s**x - 3/5*s + 2/5*s**2 + a*s**3 = 0. Calculate s.
-1, 1, 2
Let f(x) = -12*x**4 - 22*x**3 - 14*x**2 - 46*x. Let d(h) = h**4 + h**3 - h**2 + 3*h. Let n(p) = 10*d(p) + f(p). Factor n(w).
-2*w*(w + 2)**3
Let q(c) be the first derivative of -c**