*2 + 0*q - p*q**4 = 0.
0, 1
Let v(l) be the first derivative of -2*l**5/65 + 2*l**4/13 + 2*l**3/13 - 18*l**2/13 - 23. Factor v(k).
-2*k*(k - 3)**2*(k + 2)/13
Let l(m) = m**2 - 18*m + 13. Let r(c) = 5*c**2 - 72*c + 49. Let q(x) = 18*l(x) - 4*r(x). Factor q(b).
-2*(b - 1)*(b + 19)
Let d(l) be the first derivative of 0*l**2 + 0*l + 24 + 2/65*l**5 + 2/13*l**3 - 2/13*l**4. Determine n, given that d(n) = 0.
0, 1, 3
Suppose 5*g + 5*m - 2 = -7, g = -3*m - 11. Let h = g + -4. Suppose 0 + 4/9*v**2 + h*v + 2/9*v**3 = 0. Calculate v.
-2, 0
Let x be (-39)/(-7) - 96/(-224). Let q(m) be the third derivative of 0*m**3 + 1/30*m**5 - 9*m**2 + 0*m + 0 - 1/120*m**x - 1/24*m**4. Factor q(f).
-f*(f - 1)**2
Factor 55/2 - 41*z**2 - 3/4*z**3 + 57/4*z.
-(z - 1)*(z + 55)*(3*z + 2)/4
Factor -13/6*l - 1/6*l**2 + 8.
-(l - 3)*(l + 16)/6
Let t(k) be the third derivative of 0*k - 7/45*k**3 - 43/180*k**4 + 18*k**2 - 1/100*k**6 - 23/150*k**5 + 0. Factor t(a).
-2*(a + 7)*(3*a + 1)**2/15
Suppose -9 = -8*n + 8 + 7. Suppose -5/2*m**4 + 0*m + 0 + 1/2*m**2 - 1/2*m**n - 3/2*m**5 = 0. What is m?
-1, 0, 1/3
Let q be (-18)/12 + 66/(-24)*24/(-28). Let 0 - 2/7*s**2 + q*s = 0. What is s?
0, 3
Let z(o) = -o**3 - 8*o**2 + 21*o + 12. Suppose 3*w + 2*y + 32 = 0, -6*w - 4*y - 14 = -5*w. Let k be z(w). Factor 6/5*f**3 + 0 - 8/5*f + 16/5*f**k - 18/5*f**4.
-2*f*(f + 1)*(3*f - 2)**2/5
Let p(v) be the second derivative of -4/255*v**6 - 5/51*v**3 + 2/85*v**5 + 2/17*v**2 + 0 + 1/357*v**7 + 27*v + 1/51*v**4. Determine g so that p(g) = 0.
-1, 1, 2
Factor 11/3*g - 2 - g**2 + 1/3*g**4 - g**3.
(g - 3)*(g - 1)**2*(g + 2)/3
Let o be (0/(-1))/(-3 + 6 + -1). Let l(p) be the third derivative of 0 - 4*p**2 - 1/54*p**4 + 1/540*p**6 + 0*p**3 + o*p + 1/270*p**5. Let l(j) = 0. What is j?
-2, 0, 1
Let a = 41 + -36. Determine v so that -6*v**4 + 0*v**2 - 3*v - v**3 - 10*v**5 + v**a + 13*v**3 + 6*v**2 = 0.
-1, 0, 1/3, 1
Let g = 61 + -104. Let q be g/15 + -15 + 18. Solve -4/15 + 2/15*y**2 + q*y = 0.
-2, 1
Let y be (36/112)/(45/240). Factor -8/7 - y*o - 4/7*o**2.
-4*(o + 1)*(o + 2)/7
Let v(q) be the second derivative of -2*q + 1/3*q**4 - 6*q**2 + 0 - 4/3*q**3. Factor v(c).
4*(c - 3)*(c + 1)
Factor -7*f + 4*f - 21 + 39 - 4*f - f**2.
-(f - 2)*(f + 9)
Let f = -3 + -27. Let j be (3/(-6))/(3/f). Factor -5*m**2 - 6*m**4 - 4*m + 6*m**2 + 4*m**5 - 2*m**j + 5*m**2 + 2*m**3.
2*m*(m - 2)*(m - 1)**2*(m + 1)
Find p, given that -20/9*p**2 + 0*p + 2/9*p**4 + 0 - 2*p**3 = 0.
-1, 0, 10
Let r(l) = 80*l**3 + 80*l**2 + 30*l - 135. Let z(p) = 3*p**3 + 3*p**2 + p - 5. Let b(y) = 2*r(y) - 55*z(y). Find m, given that b(m) = 0.
-1, 1
Let v(g) be the first derivative of g**6/12 + 3*g**5/5 + g**4/4 - 10*g**3/3 - 27*g**2/4 - 5*g - 610. Factor v(w).
(w - 2)*(w + 1)**3*(w + 5)/2
Factor -11/3*m - 1/3*m**2 + 0.
-m*(m + 11)/3
Let c(z) be the first derivative of -z**5/5 + z**4 - 5*z**3/3 + z**2 + 40. Suppose c(f) = 0. What is f?
0, 1, 2
Let b(n) be the first derivative of -n**6/2340 - n**5/260 + n**4/39 - 8*n**3/3 - 5. Let a(v) be the third derivative of b(v). Solve a(q) = 0 for q.
-4, 1
Let b(p) be the first derivative of p**5/5 - p**4/4 - 2*p**3 + 762. Factor b(v).
v**2*(v - 3)*(v + 2)
Let l be (-27)/(-12) + 8/(-32). Factor 2*i**l + 5*i**4 + 8*i**3 - 10*i - 5 - 2*i**2 + 2*i**3.
5*(i - 1)*(i + 1)**3
Let q be (8 + -16)*(-10)/32. Suppose 1/4*r + q*r**2 - 5/4 + 1/4*r**5 - 1/2*r**3 - 5/4*r**4 = 0. Calculate r.
-1, 1, 5
Let n(d) = d**3 - 2*d**2. Let c(l) = 2*l**3 - 15*l. Let i(s) = 2*c(s) - 2*n(s). Find r such that i(r) = 0.
-5, 0, 3
Let l(o) be the second derivative of o**8/1176 - o**6/210 + o**4/84 + 13*o**2/2 + 8*o. Let k(i) be the first derivative of l(i). Suppose k(g) = 0. Calculate g.
-1, 0, 1
Let q = -1/3007 - -3010/9021. Let z be (-4)/6*2/(-4). What is m in z*m**4 - 2/3*m**2 + 0*m + q + 0*m**3 = 0?
-1, 1
Let t(g) = 4*g**3 - 8*g**2 + 5*g - 2. Let z(x) = x**2 - x - 1. Let h = -16 - -14. Let b(k) = h*t(k) + 2*z(k). Determine q so that b(q) = 0.
1/4, 1
Let k(u) = u**3 - 2*u**2 + u + 1. Let r(h) = 4*h**3 - 16*h**2 - 36*h + 3. Let i(y) = -3*k(y) + r(y). Solve i(p) = 0 for p.
-3, 0, 13
Let p = 151 + -151. Let s(n) be the third derivative of 0*n**3 + 0 - 1/18*n**4 - 1/180*n**6 - 8*n**2 + p*n - 1/30*n**5. Factor s(i).
-2*i*(i + 1)*(i + 2)/3
Let u(h) = 6*h**2 - 4*h - 1. Let o(c) be the third derivative of c**5/60 + c**4/24 - c**3/6 - 6*c**2. Let x(j) = o(j) - u(j). Factor x(a).
-5*a*(a - 1)
Let g = 30 - 23. Let f(w) = -9*w**2 + 15. Let y(z) = -z**3 - 17*z**2 + z + 31. Let d(c) = g*f(c) - 3*y(c). Determine k, given that d(k) = 0.
-1, 1, 4
Let t be 180/(-360) + ((-3)/2)/((-3)/5). Suppose 0 + 3/7*o**3 + 3/7*o**4 - 12/7*o - 12/7*o**t = 0. Calculate o.
-2, -1, 0, 2
Let b(t) = -t**5 - t**4 + t**2 - 1. Suppose -5*d + 2 + 18 = 0. Let o(s) = 2*s**2 + 2*s**d + 2*s**4 + 2 + 0*s**2 - 4*s**2. Let i(v) = 2*b(v) + o(v). Factor i(g).
-2*g**4*(g - 1)
Let z(y) be the first derivative of y**5/5 + y**4/2 - 13*y**3 - 20*y**2 + 400*y + 178. Factor z(n).
(n - 4)**2*(n + 5)**2
Let u = 21 + -16. Factor 4*m**5 + 5*m + u - 1 - 8*m**3 - 4*m - 8*m**2 + 4*m**4 + 3*m.
4*(m - 1)**2*(m + 1)**3
Let d be 2*(-2 + 84/33)*(-1232)/(-448). Factor -41/8*s**d + 0*s - 1/4*s**2 + 0.
-s**2*(41*s + 2)/8
Let x(c) be the first derivative of -20/3*c**3 - c**4 + 20*c - 19 + 2*c**2. Suppose x(s) = 0. Calculate s.
-5, -1, 1
Suppose -475*g**3 + 470*g**3 + 29*g + 16*g + 13*g**2 - 45 - 8*g**2 = 0. What is g?
-3, 1, 3
Let h(g) = -30*g**4 - 291*g**3 - 228*g**2 + 294*g + 252. Let l(k) = -k**5 + k**4 + k**3 - 2*k**2 + k - 1. Let v(o) = -h(o) + 3*l(o). Let v(i) = 0. Calculate i.
-5, -1, 1, 17
Let z(t) be the second derivative of -42*t**7 + 4718*t**6/15 - 150*t**5 - 36*t**4 + 80*t**3/3 - 35*t. Find m such that z(m) = 0.
-2/9, 0, 2/7, 5
Let b = 19558/9 + -2172. Suppose 2/9*m**4 - b*m**2 + 4/9*m + 0 - 2/9*m**5 + 2/3*m**3 = 0. What is m?
-2, 0, 1
Let d(w) be the first derivative of w**6/12 - 7*w**4/4 - 2*w**3 + 13*w**2/4 + 6*w + 656. Solve d(u) = 0.
-3, -1, 1, 4
Let g(s) be the first derivative of 6*s**5/7 + 33*s**4/28 - s**3 - 33*s**2/14 - 9*s/7 + 81. Find a, given that g(a) = 0.
-1, -3/5, -1/2, 1
Suppose u = 3*k - 49, -5*k + 2*u + 0*u = -82. Let h be 6/4*k/(-324)*-3. What is t in 2/3*t + h*t**2 + 4/9 = 0?
-2, -1
Factor 20/3 + 26/3*z + 2/3*z**4 - 10/3*z**3 - 2*z**2.
2*(z - 5)*(z - 2)*(z + 1)**2/3
Let a = -69 + 83. Let z be (16/(-28))/((-4)/a). Find j such that -2/9*j**3 + 8/3*j**z + 128/9 - 32/3*j = 0.
4
Factor 0*x + 0*x**4 - 108/7*x**2 + 0 - 2/7*x**5 + 54/7*x**3.
-2*x**2*(x - 3)**2*(x + 6)/7
Let i**2 + i - 10*i**4 + i**5 - 10*i**2 + 12*i**3 + 2*i**5 + 3*i**2 + 0*i**2 = 0. What is i?
0, 1/3, 1
Suppose 8*j + 6 - 46 = 0. Find g such that -12 + 11*g + 20*g**2 + 12 + j*g + 4*g**3 = 0.
-4, -1, 0
Let x be (996/(-6391))/(6/(-14)). Factor 0*g**2 + 0*g + 0 - 2/11*g**4 + x*g**3.
-2*g**3*(g - 2)/11
Let d(y) be the first derivative of 20/7*y**2 - 16/7*y - 4/21*y**3 + 19 - 3/2*y**4 + 18/35*y**5. Determine j, given that d(j) = 0.
-1, 2/3, 2
Let d(v) = -v**3 + 18*v**2 + 18*v + 23. Let g be d(19). Let r(n) be the first derivative of n**2 + 4 + 0*n - 1/4*n**g + 1/3*n**3. Solve r(t) = 0 for t.
-1, 0, 2
Let g(s) be the second derivative of -27*s**6/65 - 9*s**5/10 - 20*s**4/39 - 4*s**3/39 + 3*s + 56. Determine a so that g(a) = 0.
-1, -2/9, 0
Let h(l) be the third derivative of -l**6/40 + 29*l**5/10 + 119*l**4/8 + 30*l**3 + 121*l**2. Solve h(w) = 0.
-1, 60
Let q(u) be the first derivative of -2*u**5/5 - 17*u**4/2 - 18*u**3 + 45*u**2 - 326. Find c such that q(c) = 0.
-15, -3, 0, 1
Let j = -1257 - -3775/3. Let s be (0 + -2)/(2/(-3)). Find c, given that -4/3*c**4 + 4/3*c**5 + 8/3*c**2 - j - 8/3*c**s + 4/3*c = 0.
-1, 1
Let w be 4/(-18) + (-3080)/(-275)*(-20)/(-198). Determine z, given that -w*z + 0 - 2/11*z**3 - 12/11*z**2 = 0.
-5, -1, 0
Let a be 2136/2964 - (-8)/(-76). Factor -24/13*n**2 + a*n - 14/13*n**3 + 0.
-2*n*(n + 2)*(7*n - 2)/13
Let 36*b**2 - 48 + 3/7*b**4 - 12/7*b + 93/7*b**3 = 0. What is b?
-28, -2, 1
Let z(s) be the third derivative of -s**8/10920 - s**7/1820 - s**6/1170 - 4*s**3/3 + 11*s**2. Let v(g) be the first derivative of z(g). Solve v(u) = 0 for u.
-2, -1, 0
Suppose 27 + 38416/3*i**4 + 10976*i**3 + 3528*i**2 + 504*i = 0. Calculate i.
-3/14
Let c(y) = 116*y**3 - 192*y**2 + 80*y + 8. Let k(b) = -113*b**3 + 193*b**2 - 80*b - 9