*5 + 0.
3*a**2*(a - 1)**2*(a + 1)/5
Let y(o) = 13*o + 97. Let u(l) = -l + 4. Let s(w) = -6*u(w) - y(w). Let v be s(-18). Factor 0 + 0*f + 2/15*f**2 + 4/15*f**v + 0*f**3 - 2/5*f**4.
2*f**2*(f - 1)**2*(2*f + 1)/15
Let x be 112/77 - (171/(-133) - 573/(-462)). Factor -5/4*l - x - 1/4*l**2.
-(l + 2)*(l + 3)/4
Let p = 79 + -57. Let o be ((-33)/p)/((-9)/20). Factor -8/3 - 2/3*h**2 + o*h.
-2*(h - 4)*(h - 1)/3
Factor -336/5 + 1012/5*x - 204*x**2 - 4/5*x**4 + 348/5*x**3.
-4*(x - 84)*(x - 1)**3/5
Suppose -5*l + p + 169 = 9, -2*l + 51 = -3*p. Let k = 36 - l. Factor -24*n**4 - 163*n**k + 111*n**3 + 4*n**5 + 88*n**3.
4*n**3*(n - 3)**2
Let j(q) be the first derivative of -5*q**3/3 + 5555*q**2 - 6171605*q + 2489. Find k, given that j(k) = 0.
1111
Let i(u) be the second derivative of u**5/5 + 83*u**4/3 - 8*u**3/3 - 664*u**2 + 2260*u. Factor i(f).
4*(f - 2)*(f + 2)*(f + 83)
Let a(w) be the third derivative of 5/6*w**3 + 1/12*w**4 + 0 + 1/1620*w**6 + 16*w**2 + 0*w - 1/90*w**5. Let g(p) be the first derivative of a(p). Factor g(f).
2*(f - 3)**2/9
Let j be 65 + (-4 - 0/(-4)). Solve 115*p**3 - 14*p**2 + j*p**4 + 98*p**2 + 16*p**2 + 20*p - 26*p**4 = 0.
-2, -1, -2/7, 0
Let n(k) be the third derivative of -k**7/735 + 11*k**6/42 - k**2 + 104. What is p in n(p) = 0?
0, 110
Let n be ((-4)/(2352/(-18)))/((-60)/(-14)). Let p(o) be the second derivative of 0 - 1/84*o**4 - n*o**5 + 0*o**3 + 5*o + 0*o**2. Find z, given that p(z) = 0.
-1, 0
Suppose -y + 62 = -d - 90, 2*y - 306 = 4*d. Factor 120*j**2 + 679*j**2 + 2*j**4 - y*j**2 - 72*j**3.
2*j**2*(j - 18)**2
Factor -1 - 971*k - 529*k - 87068506*k**3 - 37931494*k**3 - 750000*k**2.
-(500*k + 1)**3
Let d(c) be the third derivative of 0*c**3 + 361/90*c**6 + 1/18*c**4 + 58*c**2 + 0 - 38/45*c**5 + 0*c. Factor d(z).
4*z*(19*z - 1)**2/3
Let n = 58 + -279/5. Let v = n - 57/35. Factor v*l + 2/7*l**3 + 0 - 6/7*l**2.
2*l*(l - 2)*(l - 1)/7
Let z(c) = 6*c**2 - 7*c - 8. Let p be z(-1). Suppose -2*w = -p*m + 45 - 7, -5*w = 5*m - 10. Suppose 36/5*y**2 + 0 + m*y + 6/5*y**3 = 0. Calculate y.
-5, -1, 0
Let n = -38/12275 + 122864/36825. Factor n*h**4 + 0*h**3 + 0*h**2 + 0*h - 2/3*h**5 + 0.
-2*h**4*(h - 5)/3
Let y(h) be the third derivative of 3*h**8/280 - 4*h**7/25 + 12*h**6/25 + 7*h**5/25 - 51*h**4/20 + 14*h**3/5 - 736*h**2 + h. Find l, given that y(l) = 0.
-1, 1/3, 1, 2, 7
Let j(v) = -4*v**3 + 36*v**2 + 24*v - 76. Let i(d) = -d**2 + d - 1. Let y be 24/15*4/((-24)/75). Let n(z) = y*i(z) + j(z). Suppose n(a) = 0. What is a?
-1, 1, 14
Let 0 + 482*z**2 + 0*z - 1/4*z**3 = 0. What is z?
0, 1928
Let c be -2 + (-23)/7 + (-4)/28*-49. Determine a, given that -16/7 - c*a + 4/7*a**2 = 0.
-1, 4
Let q(f) be the third derivative of f**5/12 + 9115*f**4/24 - 1520*f**3 - 2*f**2 + 2*f + 3. Determine n so that q(n) = 0.
-1824, 1
Let g be (-85 + 13509/158)*-1*0/(-2). Let o(i) be the first derivative of 0*i + 1/12*i**4 + g*i**3 - 1/6*i**2 - 7. Factor o(y).
y*(y - 1)*(y + 1)/3
Determine q so that -212 + 21*q**3 - 19*q**3 - 239 - 32*q + 403 + 19*q**2 - q**4 = 0.
-4, -1, 3, 4
Suppose 0 = -3*m + 39 + 51. Suppose 3*x + 4*w + 0*w = -10, -5*x - 3*w - 2 = 0. Factor -x*g**2 - 2*g**2 - 12*g**3 - m + 38 + 12*g - 4*g**4.
-4*(g - 1)*(g + 1)**2*(g + 2)
Let t(b) be the first derivative of -b**5 - 100*b**4 - 8755*b**3/3 - 15010*b**2 - 21660*b + 1056. Factor t(q).
-5*(q + 1)*(q + 3)*(q + 38)**2
Suppose -279*n + 880 - 2410 = -1044*n. Suppose -2/3*t + 1/2*t**n + 0 + 1/6*t**3 = 0. Calculate t.
-4, 0, 1
Let v(y) be the third derivative of -1/840*y**6 + 0 + 0*y**3 - 95*y**2 + 0*y - 1/24*y**4 - 2/105*y**5. Determine r so that v(r) = 0.
-7, -1, 0
Let b = 5/3594 + 2693/1797. Factor 10 - b*t**3 - 4*t - 31/2*t**2.
-(t + 1)*(t + 10)*(3*t - 2)/2
Let t(i) = i**3 + 12*i**2 - 332*i - 4285. Let f be t(-16). Solve f + 2*y**2 + 11/2*y = 0 for y.
-2, -3/4
Let x = -1900 + 550. Let m = x + 1352. Factor -1/6*p**3 + 0*p**m + 0*p + 0.
-p**3/6
Suppose 2/11*h**2 + 102/11*h + 0 - 102/11*h**3 - 2/11*h**4 = 0. What is h?
-51, -1, 0, 1
Let s(b) be the first derivative of b**5/10 + 14*b**4/9 - 59*b**3/27 + 10*b**2/9 + 132*b - 87. Let w(m) be the first derivative of s(m). Factor w(u).
2*(u + 10)*(3*u - 1)**2/9
Let o be 30 - (((-732)/(-36) - 21) + (-2)/(-3)). Let x(j) be the third derivative of 1/30*j**4 + 0*j - 1/75*j**5 + 0 + 4/15*j**3 - o*j**2. Solve x(w) = 0.
-1, 2
Suppose -216/5*h**2 - 64/5 - 6/5*h**5 + 208/5*h + 68/5*h**3 + 2*h**4 = 0. Calculate h.
-4, 2/3, 1, 2
Let o(s) be the third derivative of 63*s**2 + 0*s**3 + 1/540*s**6 + 0*s - 1/45*s**5 + 1/12*s**4 + 0. Factor o(f).
2*f*(f - 3)**2/9
Let l(y) be the second derivative of -y**8/13440 - y**7/840 - y**6/480 + y**5/24 + 9*y**4/2 - 28*y. Let i(w) be the third derivative of l(w). Factor i(u).
-(u - 1)*(u + 2)*(u + 5)/2
Suppose -32320 - 5*a**4 - 565*a**3 - 4427*a**2 - 4657*a**2 + 2784*a**2 - 24560*a = 0. Calculate a.
-101, -4
Let a = -4777 + 14356/3. Let j(d) be the first derivative of 8*d**2 + 4*d - 19 + a*d**3 + 19/4*d**4 + 1/6*d**6 + 7/5*d**5. Solve j(t) = 0.
-2, -1
Let h(x) = -19*x**3 - 2414*x**2 - 6*x. Let a(w) = 205*w**3 + 26560*w**2 + 65*w. Let m(r) = 6*a(r) + 65*h(r). Solve m(c) = 0.
0, 490
Let -88*v**2 + 3301*v - 9*v**4 - 3238*v - 183*v**3 + 217*v**2 = 0. What is v?
-21, -1/3, 0, 1
Let h(n) be the first derivative of -2*n**3/33 + 690*n**2/11 + 3816. Factor h(z).
-2*z*(z - 690)/11
Let o be (-2)/(8/44 - 30/44). Determine j so that -4*j**o - 4*j**2 - 13*j**3 - 17*j**3 - 5*j**3 + 27*j**3 = 0.
-1, 0
Let t be (3/7)/((-79)/7 - -12). Let d(u) be the first derivative of -6/5*u**2 - t*u**4 + 0*u + 8 + 8/3*u**3. Determine v, given that d(v) = 0.
0, 1/3, 3
Suppose -5*q - 3*u = -36, 81*u - 79*u + 6 = 0. Find x, given that -133 - 36*x**2 + 65 + 68 + x**3 + q*x**2 = 0.
0, 27
Determine y so that 6368*y**3 + 343*y - 6347*y**3 + 108 - 31*y - 225*y**2 = 0.
-2/7, 2, 9
Suppose -4*h - 581 = -589. Let f(p) be the second derivative of -1/10*p**5 + 0 - 19*p + 1/3*p**3 + 2*p**h - 1/3*p**4. Factor f(o).
-2*(o - 1)*(o + 1)*(o + 2)
Let -2*k**3 + 31*k**4 + 41*k**2 - k**5 - 27*k**3 + 34*k**2 - 106*k**2 + 30*k = 0. Calculate k.
-1, 0, 1, 30
Let r(w) be the third derivative of -w**7/560 + 23*w**6/320 - 33*w**5/40 - 197*w**2 + 8*w - 1. Factor r(y).
-3*y**2*(y - 12)*(y - 11)/8
What is w in -1/3*w**4 + 0 + 34/3*w**3 + 0*w + 0*w**2 = 0?
0, 34
Let l be 40/18 + -1*(-6)/(-27). Suppose -7*a = -l*a + 3*f - 121, 2*f = 4. Suppose -7*g - 17*g**2 + 22*g**2 - a*g + 25 = 0. Calculate g.
1, 5
Let y = 4669 - 32682/7. Let w(t) be the second derivative of -3/14*t**2 + y*t**3 + 3*t - 1/28*t**4 + 0. Factor w(h).
-3*(h - 1)**2/7
Solve -74*j + 0*j**3 + 3*j**2 + 13*j**2 + j**3 + 13*j + 44*j**2 = 0.
-61, 0, 1
Let y(z) be the first derivative of z**6/2700 + z**5/150 - 4*z**4/45 - 34*z**3/3 + 32. Let f(t) be the third derivative of y(t). Suppose f(n) = 0. What is n?
-8, 2
Let n(c) be the first derivative of c**5/5 + 703*c**4/4 + 54755*c**3 + 12646525*c**2/2 - 25955750*c - 4447. Factor n(h).
(h - 2)*(h + 235)**3
Let m be (6*10/(-120))/(2/(-16)). Suppose 2 = -p + 2*p. Factor 0*o**2 - 3*o**p - 8*o + 12*o - 4*o**3 - o**2 + m.
-4*(o - 1)*(o + 1)**2
Let l(p) be the third derivative of p**6/80 + 39*p**5/20 - 81*p**4/4 + 82*p**3 + 77*p**2 - 3. Find k, given that l(k) = 0.
-82, 2
Determine h so that 101/7*h**2 + 40/7*h - 73/7*h**4 - 5/7*h**5 - 4 - 5*h**3 = 0.
-14, -1, 2/5, 1
Find t such that 6*t**2 + 323*t**2 + 86*t**2 + 125*t**3 - 5*t**2 + 7774*t**4 - 7779*t**4 + 280*t = 0.
-2, -1, 0, 28
Let 41/4*h**2 + 9/2*h + 3*h**3 - 18 + 1/4*h**4 = 0. Calculate h.
-6, -4, -3, 1
Let q be (2*-1 - -1) + 8. Let p(a) = -11*a + 119. Let y be p(9). Factor -4*o**3 + 84*o**2 - 17*o**3 + 68*o - 24 - y*o**2 - q*o**3.
-4*(o - 3)*(o + 1)*(7*o - 2)
Let f(n) = 29*n - 202. Let b be f(7). Let w be (-42 + 82)*b/(-34)*-2. Factor 0 + w*l**2 - 42/17*l**3 - 8/17*l.
-2*l*(3*l - 2)*(7*l - 2)/17
Let p(b) = -3*b**4 + 3*b**3 - 2*b**2 - b - 1. Let d(t) = -16*t**4 - 32*t**3 - 76*t**2 + 280*t - 172. Let g(z) = d(z) - 4*p(z). Factor g(u).
-4*(u - 1)**2*(u + 6)*(u + 7)
Let h(m) be the third derivative of m**8/840 - 2*m**7/105 + 2*m**6/75 + m**5/15 - 3*m**4/20 + 167*m**2 + 5. Suppose h(z) = 0. Calculate z.
-1, 0, 1, 9
Let f(w) be the first derivative of w**6/6 - 9*w**5/25 - w**4/10 + 314. Factor f(b).
b**3*(b - 2)*(5*b + 1)/5
Let k(z) be the first derivative o