2 + 28606*r**4 + 2*r**5 - 57208*r**4 + 28600*r**4 - 42*r**3 - 40*r = 0.
-5, 0, 1, 4
Suppose -486*m - 2*x - 50 = -488*m, 5*m - x - 41 = 0. Solve 14/3*n**m - 58*n**2 - 68/3*n + 0 + 76*n**3 = 0.
-17, -2/7, 0, 1
Let k = -25 + 27. Find m such that -11*m**4 + 15*m**4 - 2*m**2 - m**3 + 3*m**3 + 4*m**4 - k*m**5 - 6*m**2 = 0.
-1, 0, 1, 4
Let z(s) = s**2 + 4*s - 19. Let w be z(4). Suppose -2*i = u - 37, 4 = i - u - w. Factor 5*k - 5*k**3 - 9 - 2 + 2*k**2 - 9 + i*k**2.
-5*(k - 4)*(k - 1)*(k + 1)
Let h(d) = d**2 - 653*d - 1972. Let t(o) = -4*o**2 + 1961*o + 5932. Let i(a) = 13*h(a) + 4*t(a). Factor i(n).
-3*(n + 3)*(n + 212)
Let j(o) be the second derivative of -o**4/72 - 23*o**3/18 + 8*o**2 - 1140*o. Factor j(d).
-(d - 2)*(d + 48)/6
Let w(t) be the third derivative of -7*t**6/900 + 971*t**5/450 - 172*t**4/45 - 92*t**3/15 - 2*t**2 + 1570*t. Solve w(a) = 0 for a.
-2/7, 1, 138
Let f(x) = x**2 - 15. Let w(h) = 10*h**2 + 896*h - 200869. Let b(q) = 44*f(q) - 4*w(q). Factor b(t).
4*(t - 448)**2
Let g(t) be the first derivative of -2/3*t + 96 + 2/9*t**2 + 2/27*t**3. Factor g(p).
2*(p - 1)*(p + 3)/9
Let p(x) = 16*x**2 - 22*x - 101. Let s(d) be the third derivative of -d**5/12 + d**4/3 + 17*d**3/3 - 94*d**2 - 1. Let z(a) = -2*p(a) - 7*s(a). Factor z(b).
3*(b - 6)*(b + 2)
Let n be -32 - (21 - (-1430)/(-26)). Determine b so that 5 + 1/5*b**n - 2*b = 0.
5
Let q(r) be the first derivative of 7*r**4/20 - 16*r**3/15 - 24*r**2/5 + 3358. Determine f, given that q(f) = 0.
-12/7, 0, 4
Let j(y) be the second derivative of 5*y + 0 + 0*y**2 + 2/3*y**4 + 5/2*y**3 + 1/20*y**5. Determine c, given that j(c) = 0.
-5, -3, 0
Suppose -4*y - 16 = -4*f, -5*y - 8 = -3*f + 2. Suppose 6 = k + 2*b + y, -3*k = b - 40. Solve -k*j**2 + 0 - 36*j**3 + 0*j + 15/4*j**4 = 0.
-2/5, 0, 10
Let u be 2/42 + 2605/(-54705). Solve 0 - 1/2*q**2 + 2/3*q**4 + 11/6*q**3 + u*q = 0.
-3, 0, 1/4
Let x be (-66897)/(-108) + (-10)/15. Let p = -612 + x. Solve -p - 3/4*g**2 + 9/2*g = 0.
3
Let b(p) be the first derivative of p**6/21 + 44*p**5/35 + 145*p**4/14 + 200*p**3/7 - 1115. Factor b(k).
2*k**2*(k + 5)**2*(k + 12)/7
Let y(b) be the second derivative of 1/2*b**3 - 5/12*b**4 - 3/20*b**5 + 2*b**2 + 5*b - 9 + 1/30*b**6. Factor y(k).
(k - 4)*(k - 1)*(k + 1)**2
Let c = 7682 - 7678. Let z be -1*(-4 + (-14)/(-6)). Factor z*g**3 + 0 - 5/3*g**c + 0*g + 10/3*g**2.
-5*g**2*(g - 2)*(g + 1)/3
Solve 1600*g + 4*g**2 + 26 + 5*g**4 + 833*g**2 + 195*g**3 - 26 + 333*g**2 = 0.
-32, -5, -2, 0
Let r be 0/(33/(-3) - -10)*(1 + -2). Factor r + 8/3*v**2 + 0*v - 2/3*v**4 + 0*v**3.
-2*v**2*(v - 2)*(v + 2)/3
Let p(w) be the second derivative of -1/32*w**5 + 1/8*w**4 + 0 + 1/480*w**6 + 19/6*w**3 + 0*w**2 + 6*w. Let r(h) be the second derivative of p(h). Factor r(l).
3*(l - 4)*(l - 1)/4
Let v(l) = -368*l + 124*l + 123*l - 237 + 129*l. Let x be v(30). Determine r, given that -3/8*r**x + 0*r**2 + 3/8*r + 0 = 0.
-1, 0, 1
Let v(x) = -53*x + 176. Let f be v(-7). Suppose 333*k + 1296 + 2*k**3 - 429 + k**3 + f*k - 99*k**2 - 115*k = 0. What is k?
-1, 17
Let m = 395989 - 395987. Suppose 0 - 7/2*z + 1/2*z**m = 0. Calculate z.
0, 7
Let r(n) be the first derivative of -n**7/210 + n**6/30 + n**5/5 - 4*n**4/3 - 2*n**3/3 - 26*n + 92. Let t(q) be the third derivative of r(q). Factor t(k).
-4*(k - 4)*(k - 1)*(k + 2)
Let 1/6*p**5 + 217/6*p + 29/3*p**4 + 9 + 164/3*p**2 + 37*p**3 = 0. Calculate p.
-54, -1
Let u(w) = -34*w**3 + 1122*w**2 - 159014*w + 467054. Let i(k) = -30*k**3 + 1122*k**2 - 159016*k + 467053. Let m(q) = 8*i(q) - 7*u(q). Factor m(l).
-2*(l - 279)**2*(l - 3)
Suppose 482/11*a**2 + 368/11*a + 278/11*a**3 + 104/11 + 62/11*a**4 + 2/11*a**5 = 0. What is a?
-26, -2, -1
Let y(a) be the second derivative of 7/6*a**3 + 1/120*a**6 + 1/10*a**5 + 34*a + 3/2*a**2 + 0 + 23/48*a**4. What is b in y(b) = 0?
-3, -2, -1
Suppose -4*d + 3*z = -z + 44, -5*z + 13 = 2*d. Let v be ((-4)/2 - -4) + (d - -4). Solve 0*r - 4/5*r**3 + 0*r**2 + v = 0.
0
Let o be 4149/66 - 87/(-638). Factor 22*c**3 - 13/3*c**4 - 54*c**2 - 27 + 1/3*c**5 + o*c.
(c - 3)**4*(c - 1)/3
Let r = 2/34943 - -349424/104829. Solve -r*s + 0 + 1/3*s**2 = 0 for s.
0, 10
Solve 84 + 100 - 2*g**3 + 0*g**3 - 110 + 85*g**2 - 150*g - 7*g**2 = 0 for g.
1, 37
Let r(f) be the first derivative of -4*f**3/9 - 44*f**2 + 576*f + 854. Factor r(p).
-4*(p - 6)*(p + 72)/3
Let n(r) be the third derivative of -1/20*r**5 + 1/160*r**6 + 0*r + 0 - 1/8*r**4 - 199*r**2 + 0*r**3 + 1/280*r**7. Factor n(y).
3*y*(y - 2)*(y + 1)*(y + 2)/4
Let a(z) = -70*z + 1893. Let s be a(27). Let g(f) be the first derivative of -1/2*f**s + 0*f**2 + 3/4*f**5 + 0*f + 9/16*f**4 - 21. Find q such that g(q) = 0.
-1, 0, 2/5
Let q(k) = -5*k**3 + 26*k**2 + 60*k + 6. Let v(c) = 3*c**2 - 17. Let r(p) = -p**2 + 7. Let o(z) = 5*r(z) + 2*v(z). Let a(m) = -6*o(m) + q(m). Factor a(s).
-5*s*(s - 6)*(s + 2)
Let t(b) be the first derivative of b**5/20 + b**4/2 - 21*b**3/2 - 31*b**2/2 + 2*b - 169. Let c(a) be the second derivative of t(a). Factor c(q).
3*(q - 3)*(q + 7)
What is x in -2128/3 + 4/3*x**2 + 352*x = 0?
-266, 2
Let c(r) be the third derivative of r**6/240 + 183*r**5/40 + 33489*r**4/16 + 2042829*r**3/4 + 2942*r**2. Factor c(t).
(t + 183)**3/2
Suppose -306/5 + 304/5*y + 2/5*y**2 = 0. What is y?
-153, 1
Find z such that 143*z**4 - 4*z + 5*z**3 - 56 - 300*z**4 - z**5 + 143*z**4 + 34*z**2 + 36*z**2 = 0.
-14, -2, -1, 1, 2
Let g = 1988 + -764. Let -56*f**2 + 61*f**2 + 305*f + g + 3276 - 5*f = 0. What is f?
-30
Let t(n) be the third derivative of 13/420*n**6 + 1/70*n**5 + 0*n**3 + 55*n**2 + 0*n**4 + 0 - n. Determine a, given that t(a) = 0.
-3/13, 0
Suppose -64*s = -11*j - 69*s + 55, -2*s = 0. Find c, given that -16 - 1/2*c**3 - 16*c - j*c**2 = 0.
-4, -2
Let d = 2067 - 2063. Let b(v) = -v**2 + 18. Let y be b(-4). Factor -3*f**y - 2*f - 2*f**3 - 1/2 - 1/2*f**d.
-(f + 1)**4/2
Let i(k) be the third derivative of -k**7/735 - 5*k**6/84 - 31*k**5/105 + 22*k**4/21 + 2764*k**2. Determine y, given that i(y) = 0.
-22, -4, 0, 1
Let l(o) = -12*o**2 + 429*o + 423. Let d(g) = 15*g**2 - 431*g - 422. Let i(x) = 3*d(x) + 4*l(x). Let i(s) = 0. Calculate s.
-1, 142
Let t = 29 - 24. Let b(v) = v**3 - v**2 + v. Let q(k) = 2 + 19*k**2 + 7*k**3 + 3*k**2 - 24*k**2 + k + 10*k. Let a(x) = t*q(x) - 30*b(x). Factor a(z).
5*(z + 1)**2*(z + 2)
Let d(c) = 3927*c + 98181. Let q be d(-25). Factor 7/2*x + 1/4*x**2 + q.
(x + 2)*(x + 12)/4
Let d = -8515 - -3335. Let h = d + 36460/7. Factor h - 40/7*p + 2/7*p**2.
2*(p - 10)**2/7
Suppose -4*a - 2*z = 24 - 0, -2*a = -z + 16. Let s be -5 - (a/(-5) + -8). Factor -3/5*y**3 + s*y - 6/5*y**2 + 1/5*y**4 + 0.
y*(y - 4)*(y - 1)*(y + 2)/5
Let l(i) = 5*i**3 - i**2 + 61*i - 63. Let f be l(1). Suppose m + 0*m**f + 1/2 - m**3 - 1/2*m**4 = 0. What is m?
-1, 1
Let c = 13551 + -37303/3. Let u = -1116 + c. Factor 16/3*a - u*a**2 - 32/3.
-2*(a - 4)**2/3
Suppose 6*o - o - 332 = 3*k, -116 = k + o. Let h be k/(-168) + 6/(-14). Factor 5/4*x**2 + 0 + 3/4*x - 1/4*x**4 + h*x**3.
-x*(x - 3)*(x + 1)**2/4
Let p(l) be the first derivative of 174 - 3/2*l**2 + 3/20*l**5 + 0*l + 9/16*l**4 + 0*l**3. Factor p(q).
3*q*(q - 1)*(q + 2)**2/4
Suppose -h + 2 = 0, -4 = -2*l + 3*h - 2*h. Suppose 3416 = 2*p - l*k - k, -5*k = 2*p - 3407. Factor p*r**2 - 2*r - 30*r**3 - 6*r - 1732*r**2 - 2*r**5 - 14*r**4.
-2*r*(r + 1)**3*(r + 4)
Let b(c) be the second derivative of 7/100*c**5 - 29*c - 1/2*c**3 + 0*c**2 + 1/150*c**6 + 7/60*c**4 + 0. Find v such that b(v) = 0.
-5, -3, 0, 1
Let x(z) be the first derivative of -z**3 - 66*z**2 - 369*z - 1751. What is g in x(g) = 0?
-41, -3
Let j be -4 - (-15352)/(-40)*5. Let k = j + 1930. Factor k*n + 5/2*n**2 - 3/2.
(n + 3)*(5*n - 1)/2
Suppose -5*c - 3 = -40*c + 102. Let k(z) be the first derivative of 0*z**4 - 20/3*z**c + z**5 + 0*z**2 + 0*z + 11. Determine h, given that k(h) = 0.
-2, 0, 2
Suppose -26 = -5*y + 3*i, 3*y - 3*i - 13 - 5 = 0. Suppose -10 = 3*u + 2, 4*u = -4*c - y. Factor -2/7*w**2 + 4/7*w**c + 0 + 0*w - 2/7*w**4.
-2*w**2*(w - 1)**2/7
Suppose 33*t - 210 = 569 - 284. Factor -t - 55/3*i**2 + 5/3*i**3 + 95/3*i.
5*(i - 9)*(i - 1)**2/3
Let y(v) be the third derivative of v**7/1680 + v**6/360 - v**5/48 - v**4/8 - 37*v**3/3 - 3*v**2 + 5*v. Let h(c) be the first derivative of y(c). Factor h(t).
(t - 2)*(t + 1)*(t + 3)/2
Factor -541*g**3 - 16*g**2 + 16*g - 40*g + 540*