-2*r + 89. Factor r - 16*x**2 + 2*x**4 - 8168*x + 8168*x.
2*(x - 2)**2*(x + 2)**2
Let s = -75583 + 907001/12. Factor s - 1/4*m**2 + 7/6*m.
-(m - 5)*(3*m + 1)/12
Suppose 60*a + 204*a - 10*a**2 + 1035 + 15*a**2 + 96*a = 0. Calculate a.
-69, -3
Find f such that 0 + f**3 - 3/2*f**2 - 9/2*f = 0.
-3/2, 0, 3
Let s(k) = -3*k**2 - 11*k + 6. Let c be 48/10 - ((-48)/15 + 4). Let x(g) = 5 + 7*g**2 - 32*g - 15*g**2 + 10 + 3. Let a(v) = c*x(v) - 11*s(v). Factor a(t).
(t - 6)*(t - 1)
Suppose 0 = -11977*o + 11958*o + 95. Let g(x) be the second derivative of 0 - 3/25*x**6 - 1/30*x**4 + 3/25*x**o + 0*x**2 + 0*x**3 - 11*x. Solve g(j) = 0 for j.
0, 1/3
Let m(o) = o**3 - 4*o**2 + 4*o + 4. Let h = 180 - 185. Let j(l) = l**3 - 4*l**2 + 5*l + 4. Let c(i) = h*j(i) + 6*m(i). Let c(r) = 0. Calculate r.
-1, 1, 4
Let b(h) be the second derivative of h**4/6 + 1223*h**3/6 - 306*h**2 + 2645*h. What is c in b(c) = 0?
-612, 1/2
Let x(w) be the first derivative of 2/27*w**3 + 1/9*w**2 - 4/9*w + 61. Factor x(q).
2*(q - 1)*(q + 2)/9
Let i be (-1 - (-1 + -2))*(-73)/(-2). Factor -i + 65 - 4*a + 24*a**2 + 4*a**3 - 16*a**2.
4*(a - 1)*(a + 1)*(a + 2)
Let g = -10252722/13 + 788672. Let -2/13*f**3 - 6/13*f**4 + g*f**2 + 2/13*f**5 - 8/13 + 0*f = 0. Calculate f.
-1, 1, 2
Let f = -389402/5 - -77881. Let 3*g**3 + 0 + 0*g - 9/5*g**2 - 3/5*g**5 - f*g**4 = 0. What is g?
-3, 0, 1
Find o such that 1152*o + 552960 + 3/5*o**2 = 0.
-960
Find x such that 0 + 1/2*x**4 + 0*x + 43/2*x**3 + 0*x**2 = 0.
-43, 0
Determine v, given that 1/4*v**2 - 37/2*v + 73/4 = 0.
1, 73
Let n(a) be the third derivative of -a**6/120 - a**5/15 + 437*a**4/24 - 26*a**2 + 2*a - 42. Factor n(j).
-j*(j - 19)*(j + 23)
Let d(g) be the second derivative of g**6/45 + 3*g**5/5 + 14*g**4/3 + 152*g**3/9 + 32*g**2 - 854*g. Factor d(y).
2*(y + 2)**3*(y + 12)/3
Suppose -4*t = 2*n + 90 - 38, -t = 5*n + 121. Let y be (-9)/(-4) - ((-30)/n - 1). Factor 20*u - 5*u - 4*u**2 + 5*u + 6*u**y.
2*u*(u + 10)
Let u = 172 + -170. Factor 78*q**4 + 61*q**u - 85*q**2 - 21*q**5 + 20*q**3 - 80*q**3.
-3*q**2*(q - 2)**2*(7*q + 2)
Determine t, given that 32/11*t - 116/11*t**2 + 14/11*t**3 + 0 = 0.
0, 2/7, 8
Suppose 8 = -4*b, -10*o = -6*o + 5*b + 190. Let n be (o/16)/(6/8) - -4. Suppose 9/4 - 5/4*u**2 - 3/4*u - n*u**3 = 0. Calculate u.
-3, 1
Let k be (6 + 2)*1482/17784. Find c such that -140/3*c - 2450/3 - k*c**2 = 0.
-35
Factor 86528 - 832/3*o + 2/9*o**2.
2*(o - 624)**2/9
Let -75/2*p**3 + 75/2*p - 3/2*p**4 - 39 + 81/2*p**2 = 0. Calculate p.
-26, -1, 1
Let m be (1801 + 71)/48 - 37. Let 4/5*c**m + 10404/5 - 408/5*c = 0. What is c?
51
Let b be (1752/(-36))/((-4)/6). Let f = b + -70. Factor 13*l**3 - 2*l**2 - 125*l - 48*l**2 - 18*l**f.
-5*l*(l + 5)**2
Let t(n) be the first derivative of 2*n**5/5 - 12*n**4 - 34*n**3 - 26*n**2 - 3167. Find y, given that t(y) = 0.
-1, 0, 26
Let y = -18591/4 - -4654. Let m = 851/342 + 2/171. Find i, given that -y + m*i - 1/4*i**2 = 0.
5
Factor -2*k + 2*k**2 - 1/2*k**4 + 1/2*k**3 + 0.
-k*(k - 2)*(k - 1)*(k + 2)/2
Let g(f) be the first derivative of f**4/102 - 11*f**3/51 - 26*f**2/17 - 40*f + 53. Let b(v) be the first derivative of g(v). Find k such that b(k) = 0.
-2, 13
Factor -70756/3 - 12*z**4 - 643192/3*z**2 + 3200*z**3 + 425600/3*z.
-4*(z - 133)**2*(3*z - 1)**2/3
Let x(a) = 10*a**2 - 800*a - 820. Let t(f) = -5*f**2 + 400*f + 409. Let m(s) = -5*t(s) - 2*x(s). Factor m(i).
5*(i - 81)*(i + 1)
Suppose 18 = 4*l + b - 2, 2*b = -3*l + 10. Factor 18*y - 9*y**3 + 24 - 6*y + 3*y**2 + 3*y**4 + l*y**3 - 21*y**2.
3*(y - 2)**2*(y + 1)*(y + 2)
Let q(p) be the second derivative of 1 - 3/20*p**5 + 0*p**2 + 22*p + 0*p**4 - 1/5*p**6 + 0*p**3. Find k, given that q(k) = 0.
-1/2, 0
Suppose 3*j + 7 = -h, -4*j - 43 = -2*h - 7. Let s be (0 - -1) + (4 + h - 13). Factor 4/3*n**2 + 8/3*n - 4/3*n**3 + s.
-4*n*(n - 2)*(n + 1)/3
Let y(q) be the third derivative of -4 - 1/540*q**6 - 1/1890*q**7 - 2*q**2 + 1/540*q**5 + 1/108*q**4 + 0*q + 0*q**3. Factor y(x).
-x*(x - 1)*(x + 1)*(x + 2)/9
Let o(a) be the second derivative of -a**8/560 - a**7/175 + a**5/50 + a**4/40 + 43*a**2 + 21*a - 3. Let l(g) be the first derivative of o(g). Factor l(i).
-3*i*(i - 1)*(i + 1)**3/5
Factor -676 - 215*b**2 + 1404*b - 405*b**2 + 51*b**2 + 54*b**3 - 240*b**2 + 28*b**2 - b**4.
-(b - 26)**2*(b - 1)**2
Let k be (-9 - 5) + 16 + (24 - 22). Let 4/3*a**5 + 0 + 48*a**3 + 128/3*a - 224/3*a**2 - 40/3*a**k = 0. Calculate a.
0, 2, 4
Factor 3*m**3 + 786/5*m - 279/5*m**2 + 72.
3*(m - 15)*(m - 4)*(5*m + 2)/5
Let t(z) = -5*z**3 - 2*z**2 + 7*z + 7. Let w be t(-1). Let r be (w/36)/(-8 + 455/56). Find a, given that -r*a + 5/3*a**2 - 4/3*a**3 + 0 + 1/3*a**4 = 0.
0, 1, 2
Let f(h) = h**3 - 21*h**2 + 129*h - 188. Let g be f(10). Factor -3/2*s - 5/2*s**2 + 1/2*s**4 + g + 3/2*s**3.
(s - 1)**2*(s + 1)*(s + 4)/2
Suppose 4*u + 2522 = 3*x, -2*u - 1427 + 157 = 3*x. Let s = u + 5690/9. Factor 0*c + 0 + s*c**4 - 4/9*c**2 + 2/9*c**3.
2*c**2*(c - 1)*(c + 2)/9
Let w(h) be the second derivative of 32*h**2 + 2/21*h**7 - 8/5*h**5 - 8/3*h**4 + 32/3*h**3 + 2/15*h**6 + 0 + 118*h. Let w(q) = 0. What is q?
-2, -1, 2
Let o be (-7257)/(-12) + ((-26)/8 - -3). Let j = o + -603. Factor 9/2*v**2 + 0*v - 6 - j*v**3.
-3*(v - 2)**2*(v + 1)/2
Let h(l) be the second derivative of 0*l**2 + 0*l**3 - 1/90*l**5 - 1/54*l**4 + 0 - 64*l. Let h(i) = 0. Calculate i.
-1, 0
Suppose -80 = -20*m - 0. Suppose -m*h**3 + 478*h - 200 - 288*h - 300*h + 9*h**3 + 5*h**2 = 0. Calculate h.
-4, -2, 5
Factor 35/8*q + 9/4 - 1/4*q**2 - 2*q**4 + 1/8*q**5 - 9/2*q**3.
(q - 18)*(q - 1)*(q + 1)**3/8
Let l(v) = -4941*v + 261879. Let o be l(53). Find y such that -o*y**2 - 216 + 144*y + 2/9*y**5 - 10*y**3 + 2/3*y**4 = 0.
-6, 3
Let p(w) be the second derivative of -w**4/16 + 33*w**3/8 + 351*w**2/4 + w - 2668. Find z, given that p(z) = 0.
-6, 39
Let d = 26 - 30. Let p = d + 22. Factor p - 2*j**4 + 159*j + j**2 - 4*j**4 - 117*j + 2*j**5 + 19*j**2 - 12*j**3.
2*(j - 3)**2*(j + 1)**3
Suppose 2*b = -5*f, -460*b = f - 459*b. Let i(o) be the first derivative of 4/5*o**5 + 0*o**4 - o**2 + 1/3*o**6 - 18 + f*o - 4/3*o**3. Factor i(w).
2*w*(w - 1)*(w + 1)**3
Determine v so that 272484 - 86301*v**5 - 1792*v**3 + 644*v**4 - 46420*v**2 + 86317*v**5 - 121108*v**2 + 1048176*v = 0.
-29, -1/4, 9
Let h be -2 - ((-25)/(-3)*-4 + 28). Determine r, given that -4/3 - 8/3*r**2 - h*r - 2/3*r**3 = 0.
-2, -1
Let i(l) be the third derivative of -5/2*l**3 + 0 + 125*l**2 + 1/12*l**5 + 5/12*l**4 + 0*l. Factor i(s).
5*(s - 1)*(s + 3)
Suppose -2*y + 5*b = 3*y + 5, -23 = -4*y - 5*b. Let c be (-4 + (-126)/(-30))*y. Determine n so that c*n**4 + 2/5 + 6/5*n**5 - 4/5*n**2 + 6/5*n - 12/5*n**3 = 0.
-1, -1/3, 1
Suppose -14/5*a**2 + 10*a + 0 = 0. What is a?
0, 25/7
Let h(x) be the second derivative of -x**6/72 - 5*x**5/24 - 5*x**4/6 - 143*x**3/6 + 19*x. Let n(s) be the second derivative of h(s). Let n(t) = 0. Calculate t.
-4, -1
Let y = -25 - -28. Suppose -54*a**3 - 5 - 324*a + 50*a**y - 72*a**2 + 5 = 0. What is a?
-9, 0
Let l = 3/32534 + 8126/81335. Suppose 5*n - 10 - 10 = 0. Solve l*u**n - 3/10*u**3 + 3/10*u**5 - 1/10*u**2 + 0*u + 0 = 0.
-1, -1/3, 0, 1
Suppose 25 = 2*p - 10*v + 7*v, 3*p - 3*v = 42. Let h(l) be the first derivative of -7*l**2 + 8*l + 1/2*l**4 + 4/3*l**3 - p. Suppose h(s) = 0. Calculate s.
-4, 1
Let t(k) be the third derivative of -k**6/160 - k**5/16 - k**4/4 - k**3/2 - k**2 + 46*k. Factor t(b).
-3*(b + 1)*(b + 2)**2/4
Determine v so that 2452*v**2 + 12358 + 15456*v + 5592 + 10274 + 92*v**3 + v**4 = 0.
-42, -4
Let f(d) be the first derivative of -d**6/780 + d**4/156 - 5*d**2/2 + 4*d - 43. Let j(r) be the second derivative of f(r). Factor j(w).
-2*w*(w - 1)*(w + 1)/13
Let n be 2/(-4)*(-10 - -10). Suppose 29 - 8 = -2*z + 5*q, n = -z + 3*q - 13. Suppose -35*j + 5*j**2 - 3*j**z - 50 - 7*j**2 = 0. What is j?
-5, -2
Let r(z) be the second derivative of 3*z**5/100 + 5*z**4/4 + 96*z**3/5 + 702*z**2/5 - 505*z. What is n in r(n) = 0?
-13, -6
Suppose -2*x + 8 = -3*x - 2*j, -2*x - 3*j - 12 = 0. Suppose -4*l + 2 + 10 = x. What is a in 85*a**4 - 140*a**3 + 48*a + 8 - l - 20*a**5 - 88*a + 110*a**2 = 0?
1/4, 1
Let g(c) be the first derivative of c**4/2 - 40*c**3/3 - 121*c**2 - 200*c + 8157. Solve g(t) = 0 for t.
-4, -1, 25
Let u(d) be the third derivative of d**7/315 + 31*d**6/20 + 277*d**5/30 + 829*d**4/36 + 