derivative of -v**8/280 + 3*v**7/280 - v**5/40 - 13*v**3/6 + 11*v**2. Let j(l) be the first derivative of c(l). Solve j(o) = 0.
-1/2, 0, 1
Suppose 13*u - 3 + 16 = 0. Let g be (u/(-35)*-3)/(7/(-35)). Factor 2/7*z - g*z**3 - 1/7*z**2 + 0 + 1/7*z**5 + 1/7*z**4.
z*(z - 1)**2*(z + 1)*(z + 2)/7
Let y = 8296 + -16591/2. Let 1/6*v**2 + 0 - y*v = 0. What is v?
0, 3
Let l = 8416 + -8414. Factor 0 + 0*q - 5*q**3 - 5*q**4 - 5/3*q**l - 5/3*q**5.
-5*q**2*(q + 1)**3/3
Suppose 6*f = 3*f - 3*p, 5*p = 0. Suppose 3*w - 12*w**2 - 8*w**3 - 4*w**4 + f*w**4 - 11*w - 2 + 2*w**4 = 0. Calculate w.
-1
Let y(w) be the first derivative of -w**5 + 85*w**4/2 - 1445*w**3/3 - 232. Let y(t) = 0. What is t?
0, 17
Let j = 7 - 2. Suppose -2*z + 15 = -3*o, j*z - 4 = -2*o + 5. Find l such that 0*l**3 + 3 - 8*l**2 + 8*l - 3 + 2*l**z = 0.
0, 2
Let n(h) be the first derivative of -4/11*h**2 - 2/11*h**3 + 2/11*h**4 - 5 - 2/55*h**5 + 8/11*h. Solve n(c) = 0.
-1, 1, 2
Find h, given that 3/2*h**4 + 3/2*h**3 - 7/2*h**2 - 3*h - 1/2*h**5 + 0 = 0.
-1, 0, 2, 3
Let h be ((-254)/86 - -3)/2. Let d = 127/86 + h. Factor -36*t**2 - 24 + 48*t - d*t**4 + 12*t**3.
-3*(t - 2)**4/2
Let t(a) = a**3 + 2*a**2 - 2*a - 1. Let v(h) = -2*h**4 - 2*h**3 - 5*h**2 + 6*h + 3. Let j(z) = 12*t(z) + 4*v(z). Factor j(y).
-4*y**2*(y - 1)*(2*y + 1)
Let k(w) be the second derivative of w**5/30 - 119*w**4/3 + 56644*w**3/3 - 13481272*w**2/3 - 7*w + 8. Factor k(j).
2*(j - 238)**3/3
Let j(y) = 6*y**2 - 3*y**2 + y - 2*y**2. Let k = -15 - -16. Let n(w) = -4*w**2 - 3*w. Let s(g) = k*n(g) + 3*j(g). Let s(f) = 0. What is f?
0
Let s be (1 - 0 - -3) + -2. Determine b, given that 2*b**2 + 2 + 0*b**s - 12 - 5*b + 3*b**2 = 0.
-1, 2
Suppose 3*f = -5*l - 42, -4*l + l - 24 = 3*f. Let y be (-64)/(-15) + (-57)/l + -7. Factor 2/5*r**2 + y - 12/5*r.
2*(r - 3)**2/5
Determine b so that 3/2*b**4 + 3*b**3 - 21/2*b**2 + 18 - 12*b = 0.
-3, -2, 1, 2
Let b = -1176/37 - -6176/185. Suppose b*a**3 + a**4 + 4/5*a**2 + 1/5*a**5 + 0*a + 0 = 0. What is a?
-2, -1, 0
Let x be 198/2310 - (-2)/10. Solve -x + 12/7*g - 16/7*g**2 - 12/7*g**3 + 18/7*g**4 = 0.
-1, 1/3, 1
Suppose -g + 5 = 4*s - 1, 0 = g + 2. Factor 4*q**3 - 5*q + 12*q**s - 4*q**2 - 3*q + 12*q.
4*q*(q + 1)**2
Let k(x) = 17*x**4 + 20*x**3 + 20*x**2 - 4. Let h(v) = -14*v**4 - 20*v**3 - 20*v**2 + 3. Let m(c) = -4*h(c) - 3*k(c). Determine j, given that m(j) = 0.
-2, 0
Factor -7/11*b**2 - 1/11*b**4 - 8/11*b**3 + 0 + 0*b.
-b**2*(b + 1)*(b + 7)/11
Let p be (-2)/5 - (-5)/50*34. Find v, given that 84*v**2 - 4*v**p + 430 - 97 - 588*v + 1039 = 0.
7
Factor -15/4*s**3 + 0 + 0*s + 3/4*s**2.
-3*s**2*(5*s - 1)/4
Determine w, given that 32/13*w - 2/13*w**2 - 30/13 = 0.
1, 15
Let o(s) be the first derivative of -s**3 + 141*s**2 - 279*s + 322. Find f such that o(f) = 0.
1, 93
Let b = -357/2 + 179. Let r = 9 - 5. Factor -b*a - 1/2*a**2 + 1/2*a**r + 0 + 1/2*a**3.
a*(a - 1)*(a + 1)**2/2
Let n(y) be the second derivative of -y**4/20 + 4*y**3/5 - 18*y**2/5 + 5*y - 2. Factor n(t).
-3*(t - 6)*(t - 2)/5
Let h(b) be the first derivative of 2*b**7/105 + b**6/30 - 2*b**5/15 - 3*b**2 - 16. Let g(d) be the second derivative of h(d). Factor g(w).
4*w**2*(w - 1)*(w + 2)
Suppose 11*u**5 - 2*u + 17*u**2 - 211*u**4 + 219*u**4 - 39*u**3 + 5*u**5 = 0. Calculate u.
-2, 0, 1/4, 1
Let w(i) = -i**3 + 5*i**2 - 4*i + 3. Let h be w(4). Factor n**2 - 2*n**3 + 4 + 2*n + 2 - 10 + h*n**2.
-2*(n - 2)*(n - 1)*(n + 1)
Suppose -27*m - 16 = -31*m. Suppose -75*v**2 + 57*v**2 - 2*v**m - 12*v**3 - 2*v**4 + 2*v**4 = 0. Calculate v.
-3, 0
Let -1 + 44 + 17 + 473*k - 4*k**3 - 28*k**2 - 501*k = 0. Calculate k.
-5, -3, 1
Let n = -4172 - -4172. Determine x, given that n - 2/7*x**3 + 2/7*x**2 + 4/7*x = 0.
-1, 0, 2
Let v be 2 + (-2 - 22) - -22. Factor 9*p**2 + 27/2*p + v + 3/2*p**3.
3*p*(p + 3)**2/2
Determine w so that 434*w**3 + 340*w**4 + 263*w**4 - 1144*w**3 - 200*w**2 + 45*w**5 + 262*w**4 = 0.
-20, -2/9, 0, 1
Suppose 0 = -20*h + 6*h + 28. Let m(k) be the second derivative of -k**3 + 7/6*k**4 + 7*k + 0*k**h - 1/2*k**5 + 1/15*k**6 + 0. Factor m(l).
2*l*(l - 3)*(l - 1)**2
Let n(c) be the third derivative of -7/36*c**4 + 0*c + 0 + 8/9*c**3 - 1/90*c**5 - 37*c**2. Factor n(j).
-2*(j - 1)*(j + 8)/3
Suppose -3 = 3*l, 7*i - 4*l = 6*i + 13. Let g be ((-6)/45)/((-1)/i). Factor 0 + 2/5*q**2 + g*q.
2*q*(q + 3)/5
Suppose -1 = 3*z - 5*h, 3*h = -3*z - 2*h + 19. What is p in 2*p**2 + 5*p**3 - 2 + p - 2*p**3 + 0*p**3 - 4*p**z = 0?
-1, 1, 2
Factor 136/9 + 134/9*d - 2/9*d**2.
-2*(d - 68)*(d + 1)/9
Let i be -3 - (-4)/(-4) - -40. Suppose -5*x**2 - 125 - 27*x + i*x + 41*x = 0. Calculate x.
5
Factor -b**2 + 0*b + 4 + 9*b**2 + 10*b + 0*b**3 + 2*b**3.
2*(b + 1)**2*(b + 2)
Factor 1/3*c**5 - 4*c**3 + 0 + 2/3*c**4 - 5/3*c + 14/3*c**2.
c*(c - 1)**3*(c + 5)/3
Let x(f) = -27*f**4 - f**3 - f**2 + 22*f. Let g(q) = 4*q**4 - q**3 + q**2 - 2*q - 1. Let i(k) = -35*g(k) - 5*x(k). Factor i(u).
-5*(u - 7)*(u - 1)**2*(u + 1)
Suppose 2*a + 4*w + 10 + 4 = 0, 4*a - 3*w - 27 = 0. Factor -a*v**3 - v**2 + 3*v**2 - 5*v**2.
-3*v**2*(v + 1)
Let q(s) be the third derivative of 17/140*s**6 + 1/7*s**4 - 23/126*s**5 - 2/63*s**7 - 4/63*s**3 + 0*s + 3*s**2 + 0. Let q(f) = 0. Calculate f.
2/7, 2/5, 1/2, 1
Let g = 71263 - 14751251/207. Let i = g + -16/23. Let -2/9*n + 2/9*n**3 + i*n**4 - 2/9*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Determine m, given that -5*m**4 + 177*m**3 + 5*m**2 - 64*m**3 - 54*m**3 - 59*m**3 = 0.
-1, 0, 1
Let w(q) be the second derivative of q**6/270 + q**5/180 - q**4/54 + 270*q. Suppose w(n) = 0. Calculate n.
-2, 0, 1
Let s(u) = u - 3. Let c be s(4). Let i = 857/570 - 1/285. Factor i*x + 1/2*x**2 + c.
(x + 1)*(x + 2)/2
Let d = -1363 - -6816/5. Suppose 0 = -3*s - 0 + 6. Factor 2/5*x**4 + d*x + 1/5 - 1/5*x**3 - 3/5*x**s.
(x - 1)**2*(x + 1)*(2*x + 1)/5
Let q(a) = -2*a**3 - 103*a**2 + 55*a + 157. Let c be q(-52). Let x = -235/4 - -59. Factor j + x*j**2 + c.
(j + 2)**2/4
Let h(l) be the third derivative of -8/9*l**3 + 0*l + 25*l**2 - 34/9*l**4 - 289/45*l**5 + 0. What is i in h(i) = 0?
-2/17
Suppose 0 = 5*p, 2*p + 6 = 3*d - 0. Let s(l) be the first derivative of -7 + d*l**2 - 6*l - 2/9*l**3. Factor s(k).
-2*(k - 3)**2/3
Suppose -10*k + 11*k + 4 = 0, -2*v = -3*k - 22. Let r(n) be the first derivative of 0*n - 6 + 0*n**2 + 3/5*n**v - 3/4*n**4 + 0*n**3. Solve r(j) = 0.
0, 1
Let b = 308 - 306. Let a(g) be the second derivative of -1/3*g**3 + 3*g - g**b + 1/10*g**5 + 0 + 1/6*g**4. Factor a(m).
2*(m - 1)*(m + 1)**2
Solve -12*q**2 - 23*q**2 + 54*q + 55*q**3 - 49*q**3 - 20 - 5*q**2 = 0 for q.
2/3, 1, 5
Suppose -7*u + 16*u = -1404. Let h be (-5)/((-105)/u)*(-4)/16. Find f, given that -2/7*f + 8/7*f**4 - 22/7*f**3 + h*f**2 + 0 = 0.
0, 1/4, 1/2, 2
Let y = 3 - -1. Let r(n) = -2*n**2 + 3*n - 1. Let t(o) = 7*o**2 - 2*o + 1 - o**2 - 10*o**2 + 5*o**2. Let d(h) = y*r(h) + 6*t(h). Factor d(k).
-2*(k - 1)*(k + 1)
Let a(c) be the second derivative of 0*c**2 - 2/27*c**4 + 0 - 11*c + 1/90*c**5 + 0*c**3. Factor a(k).
2*k**2*(k - 4)/9
Let q(h) be the second derivative of 3*h**5/40 - h**4/2 - 19*h**3/4 - 21*h**2/2 - 25*h - 1. Determine k so that q(k) = 0.
-2, -1, 7
Suppose 4*b - 49 = 3*o - 2*o, 4*b + 4*o = 24. Let s be b/(11/(-3))*2/(-24). Let s*a**3 - 1/4*a - 1/4*a**2 + 1/4 = 0. What is a?
-1, 1
Let i(r) = 8*r**3 - 56*r**2 + 87*r. Let m = -150 + 146. Let x(a) = -4*a**3 + 28*a**2 - 44*a. Let u(c) = m*i(c) - 9*x(c). Solve u(y) = 0.
0, 3, 4
Suppose 2*n = -2*n + 5*v + 92, 0 = -5*n - 2*v + 82. Suppose k = 10*k - n. Factor 0*c + 0 - 1/3*c**5 + 1/3*c**3 - 1/3*c**k + 1/3*c**4.
-c**2*(c - 1)**2*(c + 1)/3
Let x(v) be the second derivative of -v**3/6 + 3*v**2/2 - 5*v. Let t be x(0). Factor t*n**2 + 4 + 3*n**3 - 4.
3*n**2*(n + 1)
Suppose 0*s = s - 2. Let m = 7 - s. Factor 19*x**m + 3*x**4 - 15*x**5 + x**4.
4*x**4*(x + 1)
Let d(w) be the third derivative of -w**8/224 - w**7/140 + w**6/16 - 3*w**5/40 + w**2 - 4*w. Let d(o) = 0. What is o?
-3, 0, 1
Factor 18*x**2 + 7/2*x**4 + 0 - 1/4*x**5 - 15*x**3 + 0*x.
-x**2*(x - 6)**2*(x - 2)/4
Suppose -97 = -5*i + 103. Let n = i - 438/11. Determine d, given that -n*d**4 - 2/11*d**5 + 16/11*d**3 + 16/11*d**2 - 32/11*d - 32/11 = 0.
-2, -1, 2
Let a(x) be the second derivative of x**4/12 - 46*x**3/3 + 335*x. Factor a(j).
j*(j - 92)
What is x in 100 - 2*x**2 - 19 - 9*x**2 - 27*x + 3*x**3 + 2*x**2 = 0?
-3, 3
Let 