u(t) be the second derivative of 3/2*t**3 + 1/2*t**4 + 4*t + 0 + 0*t**2 - h*t**5. Factor u(l).
-3*l*(l - 3)*(l + 1)
Let n = 1477773/8 - 184373. Let c = 349 - n. Suppose 1/8*s**4 - 1/2*s + c*s**3 + 0*s**2 + 0 = 0. Calculate s.
-2, 0, 1
Let q be (-4 - (-39)/9)/(8/72). Let z(j) be the third derivative of -j**4 - 3/5*j**5 + 0*j - 2/3*j**q + 8*j**2 + 0. Suppose z(m) = 0. Calculate m.
-1/3
Let c(m) be the third derivative of m**7/525 + 3*m**6/25 + 23*m**5/50 + 17*m**4/30 + 1186*m**2. Solve c(y) = 0.
-34, -1, 0
Suppose -11 - 11 = -11*j. Suppose -19*o**2 + 15*o**4 + 4 - 4*o**5 + 23*o - 8*o**3 - 9*o - j*o = 0. What is o?
-1, -1/4, 1, 2
Let f(t) = -27*t + 243. Let q be f(-19). Let a = -753 + q. Factor 8/11*w**a - 2/11*w**2 + 8/11 - 32/11*w.
2*(w - 2)*(w + 2)*(4*w - 1)/11
Determine i so that -56*i**3 - 116 - 289*i - 459/2*i**2 + 1/2*i**4 = 0.
-2, -1, 116
Factor 0 - 216/7*u**3 - 108*u**2 + 2/7*u**5 - 810/7*u - 12/7*u**4.
2*u*(u - 15)*(u + 3)**3/7
Let g(q) = 3*q**4 - q**3 + 4*q**2 - 4*q. Suppose -8*k = 40 - 8. Let p(x) = -5*x**4 + x**3 - 8*x**2 + 7*x. Let j(z) = k*p(z) - 7*g(z). Factor j(s).
-s**2*(s - 4)*(s + 1)
Suppose -42*m + 24*m = -540. Let q be m/(-75) - (-46)/40. Factor q*x**2 + 3/2 + 9/4*x.
3*(x + 1)*(x + 2)/4
Let v(x) = -9*x**2 + 2*x + 8. Let n(u) = 8*u**2 - u - 7. Let b(s) = -2*n(s) - 3*v(s). Let l(y) = 2*y**2 - 1. Let o(j) = -3*b(j) + 15*l(j). Factor o(d).
-3*(d - 5)*(d + 1)
Let y be (-5*(15 - 6288/400))/3. Let j(q) = -q + 1. Let z be j(-1). Factor 0 + 0*w + 3/5*w**4 - 3/5*w**3 - y*w**z.
3*w**2*(w - 2)*(w + 1)/5
Let x(p) = -4*p**3 - 76*p**2 + p + 23. Let t be x(-19). Let u be 10/t*550/55. Solve 5/3*q**5 + 15*q**2 + 0*q + 0 + 35/3*q**4 + u*q**3 = 0.
-3, -1, 0
Let o(a) be the second derivative of 0 + 1/3*a**4 - 8/3*a**2 + 4/15*a**5 - 40/27*a**3 - 2/27*a**6 + 134*a. Solve o(m) = 0 for m.
-1, -3/5, 2
Let a(y) = -26*y + 229. Let j be a(8). Factor -320*u - 162*u**2 + 96 + 651*u - j*u**3 - 619*u.
-3*(u + 4)**2*(7*u - 2)
Let t be (0/27)/(-43) + (-2)/(-11). Solve 0*p**2 - t*p + 0 + 2/11*p**3 = 0 for p.
-1, 0, 1
Let l(s) be the first derivative of s**4/12 + 74*s**3/9 + 215*s**2/6 + 142*s/3 - 2203. Factor l(m).
(m + 1)*(m + 2)*(m + 71)/3
Let f be (85/51)/((-3)/(-9)). Find t, given that f*t**2 - 27*t**2 - 38*t**2 - 10 + 12*t + 21*t**3 + 10 + 27*t**4 = 0.
-2, 0, 2/9, 1
Let g = 1922 + -1916. Let s(y) be the first derivative of 15 + 2/15*y**g + 1/5*y**5 - 23/15*y**3 - 2/5*y - 13/10*y**2 - 11/20*y**4. Factor s(w).
(w - 2)*(w + 1)**3*(4*w + 1)/5
Let v be (1/(-30)*-3)/((12 - 18)/(-6)). Let k(b) be the second derivative of -1/2*b**3 + 3/20*b**5 - b + 1/4*b**4 + 0*b**2 + 0 - v*b**6. Factor k(z).
-3*z*(z - 1)**2*(z + 1)
Suppose -3*t**3 + 214 + 0*t**3 - 51*t + 12*t**2 + 24*t**2 - 648 + 164 = 0. What is t?
-2, 5, 9
Let c = -111 - -115. Suppose -2*q = -c - 2. Let 6*k**2 - k + 2 - 148*k**q - 5*k + 146*k**3 + 0*k = 0. What is k?
1
Let d(o) be the third derivative of -o**6/216 + 17*o**5/540 + 95*o**4/108 + 28*o**3/9 + 9*o**2 - 271*o. Factor d(i).
-(i + 1)*(i + 4)*(5*i - 42)/9
Let b(d) = 99*d**3 + 50473*d**2 - 81342*d - 40574. Let t(f) = 14*f**3 + 7210*f**2 - 11620*f - 5796. Let g(v) = -6*b(v) + 41*t(v). Suppose g(r) = 0. What is r?
-363, -2/5, 2
Let t(w) be the third derivative of w**7/105 + w**6/30 - 2*w**5/15 - w**4/6 + w**3 - 10531*w**2. What is x in t(x) = 0?
-3, -1, 1
Let b = 336 - 352. Let q be 18/b*8/24*-4. Suppose 375/2 + 45/2*k**2 + q*k**3 + 225/2*k = 0. What is k?
-5
Solve 1/5*b**2 - 58/5 + 57/5*b = 0 for b.
-58, 1
Let g(p) be the second derivative of -p**4/72 - 23*p**3/18 - 529*p**2/12 - 2086*p. Factor g(a).
-(a + 23)**2/6
Let k(o) be the third derivative of o**5/15 + 7*o**4/2 - 200*o**3/3 + 368*o**2. Suppose k(l) = 0. What is l?
-25, 4
Factor 345/2*v - 3/4*v**2 - 2043/4.
-3*(v - 227)*(v - 3)/4
Find v, given that 126*v - 28 - 44 + 5*v**2 - 15*v**2 + 276*v - 8 = 0.
1/5, 40
Let h be (-1 - 0 - 1)*(-14828)/88. Suppose 13*u - h = 105. Factor -11*x**2 - 11*x**2 + u*x**2 - 3*x**3.
-3*x**2*(x - 4)
Let q be (-14 + 14)/(-5 + (-12)/(-4)). Let d(c) be the third derivative of 11*c**2 + 0 - 1/10*c**4 + 0*c - 1/40*c**6 + q*c**3 + 3/25*c**5. Factor d(a).
-3*a*(a - 2)*(5*a - 2)/5
Let m(g) = -463*g**2 + 16*g - 6. Let h(q) = 480*q**2 - 15*q + 5. Let p(o) = 6*h(o) + 5*m(o). Suppose p(l) = 0. What is l?
0, 2/113
Let t(k) be the second derivative of k**7/98 - 6*k**6/7 + 180*k**5/7 - 2500*k**4/7 + 15000*k**3/7 - 83*k - 18. Factor t(g).
3*g*(g - 30)*(g - 10)**3/7
Let n = -482 - -484. Let l(m) be the first derivative of 0*m - 1/30*m**6 - 1/5*m**4 - 1/5*m**5 + 0*m**n + 0*m**3 - 44. Let l(g) = 0. What is g?
-4, -1, 0
Let x(y) be the third derivative of y**6/660 - y**4/11 - 5*y**3/2 + 56*y**2. Let v(j) be the first derivative of x(j). Factor v(k).
6*(k - 2)*(k + 2)/11
Let u be 26/9*10*27/60. Let a(c) be the first derivative of 1/4*c**4 - u*c + 27/2*c**2 - 5*c**3 - 42. Let a(n) = 0. Calculate n.
1, 13
Let u(s) be the first derivative of -s**4/8 - 91*s**3/3 - 8281*s**2/4 - 8356. Let u(m) = 0. What is m?
-91, 0
Let x = -359396 - -1078201/3. Factor 0 - 4/3*b**4 + 4/3*b - x*b**3 + 13/3*b**2.
-b*(b - 1)*(b + 4)*(4*b + 1)/3
Let u(j) = -2*j**2 + 10*j**3 + 7*j - 10*j**3 + 2*j**3 - 5 - 36*j**3. Let t(o) = -o**3 - o**2 - o + 1. Let q(x) = 5*t(x) + u(x). Factor q(a).
-a*(3*a + 1)*(13*a - 2)
Let i(u) be the first derivative of 4*u**3/27 + 352*u**2/9 + 30976*u/9 - 7. Factor i(x).
4*(x + 88)**2/9
Let u(d) be the first derivative of -9/2*d + 231 - 1/5*d**5 - 63/8*d**2 + 19/6*d**3 + 7/16*d**4. Determine a, given that u(a) = 0.
-3, -1/4, 2, 3
Suppose 36 = 4*m + 2*v, 196*v - 194*v = 15*m + 36. Factor -2/3*y**2 + m - 2/3*y**3 + 4/3*y.
-2*y*(y - 1)*(y + 2)/3
Let r(k) be the first derivative of -k**4/21 + 8*k**3/7 - 40*k**2/7 - 13*k - 5. Let h(w) be the first derivative of r(w). Let h(g) = 0. Calculate g.
2, 10
Let f(u) be the second derivative of 59*u + 7/6*u**4 + 3/10*u**5 - 1 + 0*u**2 + 2/3*u**3. Determine x so that f(x) = 0.
-2, -1/3, 0
Let -2*l**2 + 5*l - 24 + 3 - 4 + 13 + 5*l = 0. What is l?
2, 3
Let c(u) be the first derivative of 4*u**3/3 + 140*u**2 + 4900*u + 1372. Solve c(f) = 0 for f.
-35
Let l = -4165 + 4168. Let v(b) be the first derivative of -1 + 1/14*b**2 - 1/21*b**l + 2/7*b. Factor v(f).
-(f - 2)*(f + 1)/7
Let i(n) = -n**2 - 29*n - 88. Let r be i(-22). Let f be (-1)/7*-109 - (-62 + r). Find h such that 3/7*h**3 - 27/7*h**2 - 81/7 + f*h = 0.
3
Let z be (27436/45)/((-371)/(-3710)). Factor -z*m + 260642/9 + 2/9*m**4 + 1444/3*m**2 - 152/9*m**3.
2*(m - 19)**4/9
Let u(j) = -j**3 - 12*j**2 - 40*j + 5. Let b be u(-8). Determine y, given that y**5 + 69 - 4*y**4 - b = 0.
0, 4
Let d(p) = 31*p**3 + p**2 - 2*p + 3. Let s be d(1). Suppose 6 - 7*q**4 + s*q**3 - 8*q**4 - 26*q**2 + 16*q**2 + 19*q**2 - 33*q = 0. Calculate q.
-1, 1/5, 1, 2
Let k = 1/121046 + 484175/1089414. Let f = 245 - 2203/9. Let -2/3*h**2 - 2/9*h + 2/9*h**3 + f*h**4 + k = 0. Calculate h.
-2, -1, 1
Let r = -71 - -140. Solve 7*o + 11*o + 77 - 5*o**2 - r = 0 for o.
-2/5, 4
Let n be -2*(-34)/(-60) + (-18)/(-135). Let x be 12/24 - (594/(-4) + n). Determine t so that -x*t + 152*t + t**3 - 2*t**2 - t**2 = 0.
0, 1, 2
Let z be (1/(-2))/(6/12) + 9. Suppose 6 - 4 = b. Suppose -12*n**4 - 4*n**3 + 0 + 14*n**4 + 16*n + 0 - z*n**b = 0. Calculate n.
-2, 0, 2
Let j = 64 - 53. Factor 29*o - j*o**4 - 154 + o**5 + 34*o**3 - 46*o**2 + 147 + 0*o**3.
(o - 7)*(o - 1)**4
Let y(q) be the third derivative of -q**7/945 + 77*q**6/180 - 229*q**5/270 - 77*q**4/36 + 230*q**3/27 + 132*q**2 + 8. Let y(a) = 0. Calculate a.
-1, 1, 230
Suppose 0 = -3*o + 48 - 39. Suppose 4 = o*m + 3*s + 7, -3*m + 2*s = -17. Let -5*g**2 - 8*g**m + 4*g**4 + 0*g**4 + 9*g**2 = 0. Calculate g.
0, 1
Suppose -285587 = -312*x - 284963. Factor -30/7*z - 2/7*z**x + 68/7.
-2*(z - 2)*(z + 17)/7
Determine q, given that 560*q**2 - 647*q + 14*q**3 + q**3 + 148*q - 190*q**4 - 5*q**5 + 119*q = 0.
-38, -2, 0, 1
Let o = 1360 + 477. Factor -150*p + 40*p - 6*p - 8567*p**2 - o*p**2 - 1 - 88*p.
-(102*p + 1)**2
Let t be 140/18 - (-16)/72. Factor 0*b**3 - 10*b**3 - 3*b - t*b**2 + b**5 + 4*b**3.
b*(b - 3)*(b + 1)**3
Let i(m) = 4*m**3 - 79*m**2 + 99*m - 35. Let h(g) = -g**3 + 39*g**2 - 50*g + 18. Suppose -1053 = -9*p - 1152. Let n(x) = p*h(x) - 6*i(x). Factor n(b).
-(b - 2)*(b - 1)*(13*b - 6)
Let a = 10386 - 31154/3