e 3648/7*t + 0 + 2/7*t**2 = 0 for t.
-1824, 0
Let j(u) be the first derivative of -21*u**4/4 - 334*u**3/3 - 656*u**2 + 128*u - 159. Find w, given that j(w) = 0.
-8, 2/21
Let u = 1061/206 + 242/103. Let x(d) be the second derivative of 2*d**5 + 0 + u*d**4 + 27*d + 40/3*d**3 + 1/6*d**6 + 25/2*d**2. Factor x(p).
5*(p + 1)**3*(p + 5)
Factor -767*g**2 + 2401285/7*g + 3/7*g**3 + 801025/7.
(g - 895)**2*(3*g + 1)/7
Find x, given that -1/8*x**4 + 3 - 9/4*x**2 + 9/8*x**3 - 1/2*x = 0.
-1, 2, 6
Let h(y) = y**3 - y**2 + 2*y + 2. Let z(m) = 4*m**3 + 72*m**2 + 80*m - 60. Let n(x) = -6*h(x) - z(x). Determine b, given that n(b) = 0.
-4, -3, 2/5
Let l(d) be the first derivative of -d**5/5 + 3*d**4/4 + 35*d**3/3 - 75*d**2/2 - 250*d - 594. Solve l(x) = 0.
-5, -2, 5
Let r(f) be the first derivative of -7688/3*f + 124/3*f**2 - 2/9*f**3 - 78. Factor r(s).
-2*(s - 62)**2/3
Solve -160/3*b**2 + 56/9*b**3 + 1664/9*b - 2/9*b**4 - 2048/9 = 0.
4, 16
Let y(t) = -t**3 + 12*t**2 + 3*t - 32. Let r be y(12). What is j in -33*j**2 + 31*j**2 - 5*j**3 - 6*j**2 - 4*j**4 + 3*j**r - 4*j = 0?
-2, -1, 0
Let r(q) be the third derivative of 5*q**8/336 + q**7/14 - 5*q**6/4 - 17*q**5/6 + 475*q**4/8 - 375*q**3/2 + 911*q**2. Suppose r(g) = 0. What is g?
-5, 1, 3
Suppose -3*o = -k - 128 + 129, -k = 5*o - 17. Let j(g) be the second derivative of -1/3*g**4 - 2/3*g**3 + 0 - 2*g + 12*g**o. Let j(v) = 0. What is v?
-3, 2
Let q(z) be the third derivative of 0*z + 3/56*z**4 - 1/168*z**6 + 1/1470*z**7 + 0 + 5*z**2 + 0*z**3 + 1/140*z**5. Let q(x) = 0. What is x?
-1, 0, 3
Let d(t) = -4*t**2 + 8*t - 6. Let q(n) = 13 - 10 - 2 - 4*n + n**2 + 3*n. Let a(c) = d(c) + 6*q(c). Factor a(b).
2*b*(b + 1)
Let n(c) be the second derivative of -c**7/105 - 8*c**6/75 + 3*c**5/50 + 13*c**4/15 + 16*c**3/15 + c - 130. What is w in n(w) = 0?
-8, -1, 0, 2
Suppose 157*u - 75*u - 32 = 74*u. Let n(q) be the second derivative of -8/9*q**2 - 26/27*q**3 - 7/45*q**5 + 0 - 5/9*q**u - 2/135*q**6 + 16*q. Factor n(k).
-4*(k + 1)**3*(k + 4)/9
Let j(z) be the second derivative of -z**4/16 - 6*z**3 + 1947*z**2/8 - 69*z - 4. Let j(y) = 0. What is y?
-59, 11
Let a = 2 + 4. Let s be (0 - 3)*(-4)/a. Find x, given that 22 - 6 + 3*x**2 + x**s - 20*x = 0.
1, 4
Let u = 103921/18 - 34583/6. Factor 2/3*j**3 + 58/9*j**2 + 22/9 - u*j.
2*(j - 1)*(j + 11)*(3*j - 1)/9
Suppose 102*f + 19560 = 117*f. Let b = -1304 + f. Determine g, given that 0*g + 0*g**2 + b - 25/2*g**3 - 5/2*g**4 = 0.
-5, 0
Let i = -9 - -6. Let w be 5/(-15) - 7/i. Determine b so that -6*b**3 - 18*b**w + 2*b**5 + 6 + 6*b**4 + 3*b**5 - 2*b**5 + 3*b + 6*b**2 = 0.
-2, -1, 1
Determine k so that 16*k + 3852*k**3 - 2 + 632*k**2 - 2064*k**3 + 2 + 1314*k**4 = 0.
-2/3, -2/73, 0
Factor -36 + 8*s + 4/3*s**2.
4*(s - 3)*(s + 9)/3
Let w be (28/(-6))/(((-1617)/126)/11). Let h(l) be the first derivative of -l - 9/2*l**2 - 5*l**3 - 27 + 25/4*l**w. Solve h(j) = 0 for j.
-1/5, 1
Let c = 1158 + -1162. Let q be -12*((-66)/(-252)*15 + c). What is s in 24/7 + 3/7*s**3 + q*s - 15/7*s**2 = 0?
-1, 2, 4
Let m(o) = o**2 + 13*o + 30. Let p(q) = -1. Let r(f) = -m(f) + 5*p(f). Let j be r(-8). Suppose -40*k - j*k**2 + 5 - 20*k - 70 - 115 = 0. Calculate k.
-6
Suppose -6*x = -2*x - 20. Let n(k) = k - 5. Let o be n(5). Factor 15*b**2 + x*b + 5*b**4 + o*b**4 - 253*b**3 + 268*b**3.
5*b*(b + 1)**3
Determine u so that 0 + 34/11*u**3 + 2/11*u**4 - 2016/11*u - 48/11*u**2 = 0.
-12, 0, 7
Factor -24234722/7 + 1643032/7*m + 472/7*m**3 - 2/7*m**4 - 41772/7*m**2.
-2*(m - 59)**4/7
Find r such that 12*r**2 - 256*r**3 + 127*r**3 + 132*r**3 - 288*r = 0.
-12, 0, 8
Suppose k + 1 = 0, -6*g - 5*k = -3*g - 22. Factor 85 - 4*i**2 - 65*i + g*i**2 - 155.
5*(i - 14)*(i + 1)
Let u = -187612 + 187614. Factor 8/3 - 2/3*o - 1/3*o**u.
-(o - 2)*(o + 4)/3
Let -4978 + 1516*u**2 + 4978 + 1515*u - 47*u**3 + 48*u**3 = 0. What is u?
-1515, -1, 0
Let x = -15004/5 + 45032/15. Let y(j) be the third derivative of x*j**5 + 5/6*j**4 + 17/24*j**6 + 0 - 21*j**2 + 0*j**3 + 0*j + 5/42*j**7. Solve y(s) = 0.
-2, -1, -2/5, 0
Let n(g) be the first derivative of 2*g**5/5 + 35*g**4 + 2450*g**3/3 + 264. Suppose n(q) = 0. Calculate q.
-35, 0
Let t = 119/773 + 30087/5411. Factor 4/7*y**2 + t - 44/7*y.
4*(y - 10)*(y - 1)/7
Let v(m) be the second derivative of -m**4/4 + 16*m**3 - 93*m**2/2 - m - 360. Factor v(s).
-3*(s - 31)*(s - 1)
Let u(v) be the third derivative of 1/210*v**5 - 1/840*v**6 - 1/21*v**3 + 0 + 1/168*v**4 + 0*v - 87*v**2. Determine y, given that u(y) = 0.
-1, 1, 2
Let q be 2 + 12/1 - 1. Suppose q*f - 9*f = 48. Let f*o**2 + 14*o**3 - 14*o**3 - 8*o - 15*o**4 + 11*o**4 = 0. What is o?
-2, 0, 1
Let m(v) = 3*v**4 + 82*v**3 - 84*v**2 - 78*v + 73. Let x(j) = -4*j**4 - 82*j**3 + 85*j**2 + 77*j - 71. Let n(g) = -5*m(g) - 4*x(g). Factor n(o).
(o - 81)*(o - 1)**2*(o + 1)
Find m such that -124 - 2181*m - 832*m + 785*m - 9972*m**2 + 324*m**3 = 0.
-1/9, 31
Suppose -331 = -11*s + 1209. Suppose -12*b**3 - 180*b**2 - 180 + 2*b**3 - 440*b - s + 5*b**4 = 0. What is b?
-2, 8
Let l be (-130480)/(-3495) - (34 + 2). Factor 4/3 + 4/3*b**3 - 1/3*b**4 - l*b - b**2.
-(b - 2)**2*(b - 1)*(b + 1)/3
Let 23*s**3 + 8*s**2 + 6*s**4 - 12*s**3 + 104*s**2 + 11*s**3 - 5*s**4 = 0. Calculate s.
-14, -8, 0
Suppose 22*v + 17574 + 17635 = 35253. Let 17/3*w**3 + 4 + 4*w**4 - 32/3*w - 23*w**v = 0. Calculate w.
-3, -2/3, 1/4, 2
Let k be -16 + (8 - 330/(-40)). Let w(l) be the first derivative of 1/5*l**5 + 0*l**2 - 2/3*l**3 + k*l**4 - 1 + 0*l. Factor w(h).
h**2*(h - 1)*(h + 2)
Let s(h) be the third derivative of -h**5/90 + 29*h**4/48 - 455*h**3/36 - 7868*h**2. Find z, given that s(z) = 0.
35/4, 13
Let u(v) = -6 + 2*v**4 + 20*v - 40*v + 2*v**4 - 12*v**2. Let r(f) = -4*f**4 + 2*f**3 + 12*f**2 + 20*f + 5. Let q(x) = -2*r(x) - 3*u(x). Factor q(k).
-4*(k - 2)*(k + 1)**3
Let r(j) be the first derivative of -j**4/48 + 7*j**3/24 - 6*j + 42. Let u(w) be the first derivative of r(w). Factor u(g).
-g*(g - 7)/4
Let i(p) = p**3 - p + 1. Let b(x) = 6*x**3 - 9*x**2 - 3*x + 3. Suppose 0 = 8*j - 13*j - 80. Let z = j + 19. Let d(s) = z*i(s) - b(s). Factor d(n).
-3*n**2*(n - 3)
Let l(g) be the first derivative of 2*g**3/3 + 19*g**2/2 + 12*g - 16. Let y be l(-9). Solve 2 - y*c**2 + 7*c**2 + 4 - 7*c**2 + 3*c = 0.
-1, 2
Let l = 12572 + -528023/42. Let w(i) be the second derivative of l*i**3 + 10*i + 1/7*i**2 - 1/42*i**4 + 0 - 1/140*i**5. Factor w(y).
-(y - 1)*(y + 1)*(y + 2)/7
Let j(m) be the second derivative of m**6/48 - 5*m**5/16 + 5*m**4/16 + 35*m**3/24 + 63*m**2/2 - 8*m + 1. Let w(d) be the first derivative of j(d). Factor w(i).
5*(i - 7)*(i - 1)*(2*i + 1)/4
Let y(o) be the first derivative of -7*o**3/6 - 61*o**2/4 - 20*o - 3230. Factor y(z).
-(z + 8)*(7*z + 5)/2
Let u(j) be the second derivative of 0*j**2 + 1/110*j**5 - 6*j - 3 - 8/33*j**4 + 64/33*j**3. Determine m, given that u(m) = 0.
0, 8
Let n(v) be the second derivative of v**5/10 - 31*v**4/6 + 90*v**3 - 648*v**2 + 13275*v. Factor n(t).
2*(t - 18)*(t - 9)*(t - 4)
Let w = -5746/23 + 18020/69. Suppose 21*b + w*b**2 - 62/3*b**3 - 49/3 - 1/3*b**5 + 5*b**4 = 0. What is b?
-1, 1, 7
Suppose -2*x = 3*x - 2*n + 10, x - 3*n = -15. Suppose -2*o + 0*o + k + 101 = x, o - k = 50. Factor -o*s + 21*s**2 + 18 - 24*s + 6*s.
3*(s - 3)*(7*s - 2)
Let p = -392 + 382. Let f be 2 + (-14)/p + 20/(-50). Solve -4/3*u**f + 2/3*u**5 + 2/3*u**4 + 0*u + 0 + 0*u**2 = 0 for u.
-2, 0, 1
Let w be 5*4/(0 - -4). Suppose -4*y - 4 = -w*m, -y = 5*m - 17 - 7. Factor 12*o**2 + 0*o**3 + m*o**3 - 54 + 58 + 12*o.
4*(o + 1)**3
Let n be (-6)/210*-5*(-126)/(-90). Let x(y) be the first derivative of -14 + n*y**3 + 6/5*y + 9/10*y**2. Factor x(o).
3*(o + 1)*(o + 2)/5
Let l be (-252)/24*(897/(-18) + 2). Let n = 503 - l. Let n*f**2 + 3/2*f - 3/2*f**3 - 9/8 + 3/8*f**4 = 0. Calculate f.
-1, 1, 3
Let n(o) = 8*o**2 + o - 2. Let s be n(-2). Suppose -u + 4*u = 9. Factor 10*l - s*l**u - 27*l**3 + 5*l**2 - 5*l**4 + 45*l**3.
-5*l*(l - 1)*(l + 1)*(l + 2)
Let u be 18*(-4)/(-5)*40/32. Let p(a) be the second derivative of 1/7*a**3 - 1/28*a**4 + 9/14*a**2 - u*a + 0. Solve p(c) = 0.
-1, 3
Let b = 130 - 122. Factor -16*m**2 - b*m**2 - 16*m**2 + 3*m**3 - 78 + 15*m + 16*m**2 + 228.
3*(m - 5)**2*(m + 2)
Let l(d) be the first derivative of -d**5/10 - d**4/2 + 19*d**3/6 - 7*d**2/2 - 2430. Factor l(h).
-h*(h - 2)*(h - 1)*(h + 7)/2
Find s