*4 - 60*b**3 - 154*b**2 - 25*b. Let x(s) = -5*s**4 + 15*s**3 + 38*s**2 + 6*s. Let p(d) = -6*j(d) - 25*x(d). Solve p(h) = 0 for h.
-13, -2, 0
Let i(r) = -2*r**3 - 11*r**2 - 22*r - 15. Let t be i(-10). Suppose t*g = 1115*g. Find f such that 5*f**3 + 5/3*f**4 + g*f**2 + 0 - 20/3*f = 0.
-2, 0, 1
Let a(x) be the first derivative of -3*x**4/4 - 284*x**3 - 59631*x**2/2 + 122694*x - 3358. Factor a(z).
-3*(z - 2)*(z + 143)**2
Let m(i) be the third derivative of -5*i**2 + 0*i**3 - 1/10*i**6 + 2/15*i**5 + i + 2/105*i**7 + 0*i**4 + 0. Let m(n) = 0. Calculate n.
0, 1, 2
Let l be (-3914)/126 + 35 + 6/21. Find z such that 14/3*z**2 + l*z**3 + 4/3*z**4 + 2*z + 2/9 = 0.
-1, -1/6
Suppose 25 = 33*r - 107. Let t = 64/15 + -1028/255. Factor 0 + t*z**3 - 2/17*z**2 + 0*z - 2/17*z**r.
-2*z**2*(z - 1)**2/17
Suppose 4*h + 136 = f - 182, -5*f + 4*h + 1638 = 0. Let d = 335 - f. Suppose 0*t**2 + 0*t - 4/3*t**4 + 2/3*t**3 + 2/3*t**d + 0 = 0. What is t?
0, 1
Let r be (1092/195)/(4/(-630)). Let q = r - -942. Determine n, given that 3/5*n**2 + q - 12*n = 0.
10
Let v(d) = -153*d - 1527. Let w be v(-10). Let m(r) be the first derivative of 3/14*r**2 + 1/28*r**4 - 4/21*r**w + 0*r + 14. Let m(o) = 0. Calculate o.
0, 1, 3
Let i(b) = 33*b**2 + 743*b - 130. Let u(q) = 261*q**2 + 5943*q - 1038. Let c(g) = -23*i(g) + 3*u(g). Factor c(h).
4*(h + 31)*(6*h - 1)
Suppose -3*u = 2*u - 25. Let p(s) = -4*s**3 - 2*s**2 - 4*s. Let a(j) = 45*j**3 - 48*j**3 - 3*j - 4*j**2 + 3*j**2. Let i(f) = u*p(f) - 6*a(f). Solve i(l) = 0.
-1, 0
Suppose -4*n + 4 = 0, 3*d - 3*n - 522 = 480. Let i = d + -335. Factor -1/5*w**4 - 1/5*w + i - 3/5*w**3 - 3/5*w**2.
-w*(w + 1)**3/5
Let b = 21614/273 - 1028/13. Let x(r) be the first derivative of -8/7*r + b*r**3 - 1/28*r**4 + 2/7*r**2 - 8. Factor x(a).
-(a - 2)**2*(a + 2)/7
Let o(b) be the third derivative of b**7/630 + 17*b**6/120 + 16*b**5/15 + 47*b**4/18 - 31*b**2 - b + 21. Suppose o(i) = 0. Calculate i.
-47, -2, 0
Factor -1/3*k**3 + 0 - 7*k**2 + 22/3*k.
-k*(k - 1)*(k + 22)/3
Let o(f) be the first derivative of -f**4/2 + 122*f**3/3 + 402*f**2 - 12962. Let o(y) = 0. Calculate y.
-6, 0, 67
Let m be (-21)/(-7) - (1 - 0). Suppose -5*p = d + m*d - 13, p - 2 = 0. Factor -64*o**2 + 0*o**3 + o + 65*o**2 - o**3 - d.
-(o - 1)**2*(o + 1)
Let u = 54 + -51. Suppose -8*o - u*z + 52 = -3*o, 0 = 5*o + z - 44. Factor 44*g + o*g**3 - 12*g**2 + 2 - 90*g + 14 + 30*g + 4*g**4.
4*(g - 1)**2*(g + 2)**2
Let w(m) = 24*m**4 + 296*m**3 + 80*m**2 - 1256*m + 824. Let u(x) = 3*x**4 + 3*x**3 + 3*x**2 + x - 2. Let a(q) = -4*u(q) - w(q). Determine s so that a(s) = 0.
-68/9, -3, 1
Let i(o) be the first derivative of o**6/1080 - 17*o**5/540 + 2*o**4/27 + 5*o**2/2 - 2*o + 185. Let p(u) be the second derivative of i(u). Factor p(h).
h*(h - 16)*(h - 1)/9
Let c(q) = -4*q**2 - 3734*q + 3392969. Let f(i) = i**2 + 10*i - 1. Let r(k) = -3*c(k) - 15*f(k). Determine n so that r(n) = 0.
1842
Determine f so that 0*f - 116/7*f**3 - 2/7*f**4 + 0 + 366/7*f**2 = 0.
-61, 0, 3
Let n(p) = 30. Let c(d) = d**3 - 6*d**2 - 150. Let a(m) = c(m) + 5*n(m). Factor a(f).
f**2*(f - 6)
Solve -22348*p**2 - 299*p + 88 - 136 + 9924*p**3 + 2592*p**3 - 1764*p**4 + 1124*p + 1219*p = 0.
1/21, 3, 4
Let j(o) be the second derivative of -o**5/80 + 95*o**4/8 - 27075*o**3/8 + 1813*o. What is d in j(d) = 0?
0, 285
Let w = -156000 - -156003. Determine j so that 0 + 18/5*j + 3/5*j**w - 21/5*j**2 = 0.
0, 1, 6
Suppose -3*o + 21 = 3*d - 4*o, 5*d + 3*o - 21 = 0. Let t(u) be the second derivative of -u**5 - 6*u - 2*u**3 + 0*u**2 + 7/3*u**4 + 2/15*u**d + 0. Factor t(s).
4*s*(s - 3)*(s - 1)**2
Let b = -348 + 386. Suppose 0 = -13*y - 12 + b. Determine g so that -g**3 - 1/2 + 1/2*g**5 + g**y - 1/2*g**4 + 1/2*g = 0.
-1, 1
Let i be (6/(-5))/(-4*2/(-40)). Let j be i/1*((-22)/(-6) - 4). Factor -210 - 196 + 308 - j*u**2 - 28*u.
-2*(u + 7)**2
Let y = -1473 + 1481. Let n be (5 - y) + 260/80. Factor n*l**4 + 0*l + 0 - 9/4*l**3 + 0*l**2.
l**3*(l - 9)/4
Let l(c) be the second derivative of c**8/20160 + c**7/1260 + c**6/240 - 22*c**4/3 - 3*c - 61. Let b(d) be the third derivative of l(d). Factor b(k).
k*(k + 3)**2/3
Let y(x) be the second derivative of x**7/1470 - x**6/280 - x**5/420 + x**4/56 - 65*x**2/2 + 32*x. Let p(t) be the first derivative of y(t). Factor p(n).
n*(n - 3)*(n - 1)*(n + 1)/7
Let l(y) be the second derivative of -y**7/14 + 5*y**6 + 807*y**5/20 + 167*y**4/2 - 106*y**3 - 660*y**2 - 347*y. Factor l(w).
-3*(w - 55)*(w - 1)*(w + 2)**3
Let h(i) be the third derivative of 0*i + 0 - 149*i**2 + 5/6*i**4 + 6*i**3 + 1/60*i**5. Factor h(j).
(j + 2)*(j + 18)
Let k(x) = -1642*x**2 + 2172*x - 717. Let v(s) = -4919*s**2 + 6514*s - 2153. Let t(j) = -17*k(j) + 6*v(j). Find i such that t(i) = 0.
27/40
Let m(y) be the second derivative of -y**4/48 + 23*y**3/6 + 47*y**2/2 + 4049*y. Solve m(p) = 0.
-2, 94
Let a be (36 - (-17960)/(-500))*5*2. Factor a*w + 2/15*w**2 + 2/3.
2*(w + 1)*(w + 5)/15
Let t(l) be the third derivative of -18 - 1/30*l**5 + 0*l**3 + 0*l - 7/12*l**4 + 3*l**2. Factor t(g).
-2*g*(g + 7)
Suppose -12*s = -28*s + 19792. Let p = s + -8653/7. Determine t, given that 0 + 9/7*t**3 - 12/7*t - 12/7*t**2 + p*t**4 - 3/7*t**5 = 0.
-1, 0, 2
Suppose w + 14 = 3*f, 2*w + 14 = 3*f - 5. Factor 10*r**2 - 6*r**3 + 15*r**2 - 14*r**f - 5*r**4.
-5*r**2*(r - 1)*(r + 5)
Find t such that -14/15*t**2 - 80/3 + 122/5*t = 0.
8/7, 25
Let t(u) be the third derivative of -4*u**7/105 - 5*u**6/2 - 803*u**5/40 - 1093*u**4/48 - 11*u**3 - 3*u**2 + 8*u. What is s in t(s) = 0?
-33, -4, -1/4
Let y(u) be the first derivative of -u**6/9 + 4*u**5/3 - 2626. Suppose y(t) = 0. What is t?
0, 10
Suppose -23*z = -144*z. Let w(t) be the first derivative of z*t**2 + 0*t + 0*t**3 - 3/4*t**4 - 24. What is b in w(b) = 0?
0
Let z(i) be the third derivative of i**5/90 + 50*i**4/9 - 404*i**3/9 + 3862*i**2. Let z(c) = 0. Calculate c.
-202, 2
Suppose 707 = -121*v + 128*v. Solve -4*n**2 + 43*n - 863 + v*n - 433 = 0 for n.
18
Suppose -54 = 2*l - 4*m + 48, 4*m = 0. Let x be 289/l + 5 + (-250)/(-24). Find h such that 3*h**2 - x*h + 9/2 + 9/4*h**3 = 0.
-3, 2/3, 1
Let q(i) be the third derivative of i**7/42 - i**6/24 - 25*i**5/4 - 875*i**4/24 + 625*i**3/3 + i**2 - 31. Determine t, given that q(t) = 0.
-5, 1, 10
Let b be ((-6)/(-5))/((-6)/15)*(-126)/189. Solve -2/7*y**b + 0 - 48/7*y = 0 for y.
-24, 0
Factor -1340680 - 5*a**2 - 384*a + 89*a + 1340980.
-5*(a - 1)*(a + 60)
Let n be (-6 - (-4 - 2))/((-2)/(-2)). Let f be ((n + 1)*1)/(57/171). Determine t so that 3/2*t + 3/2*t**2 - 3/8*t**f + 0 - 3/8*t**4 = 0.
-2, -1, 0, 2
Let z(f) be the first derivative of f**5/190 + 4*f**4/57 - 20*f**3/57 + 118*f + 224. Let c(m) be the first derivative of z(m). Factor c(i).
2*i*(i - 2)*(i + 10)/19
Suppose 0 = 5*i - u - 5, 5 - 3 = 2*i - 2*u. Let y be 14/(-49) - 45/(-35) - i. Factor -8/3*g + y + 14/3*g**3 + 8*g**2.
2*g*(g + 2)*(7*g - 2)/3
Solve -9*b**2 - b**4 + 3*b**4 + 683*b + b**4 - 78 + 39*b**3 - 1301*b + 495*b = 0 for b.
-13, -1, 2
Let v = 4103 + -155913/38. Let y(a) be the first derivative of v*a**4 + 1/19*a**2 + 0*a + 10 - 4/57*a**3. Factor y(o).
2*o*(o - 1)**2/19
Let a(c) be the third derivative of -c**8/168 + 2*c**7/35 + 7*c**6/12 - 42*c**5/5 + 5*c**4/3 + 400*c**3 - 2*c**2 + 3*c - 1385. Let a(x) = 0. What is x?
-6, -2, 4, 5
Let p(a) be the third derivative of a**10/33600 + a**9/5040 - a**8/4480 + 53*a**5/60 + a**2 - 3. Let n(z) be the third derivative of p(z). Factor n(v).
3*v**2*(v + 3)*(3*v - 1)/2
Let i(w) = -6*w**3 - 3*w**2 - 6*w - 22. Let q be i(-4). What is o in 37*o - q + 587*o - 236*o**2 - 18*o**3 - 30*o**3 - 2*o**4 = 0?
-13, 1
Let p(x) be the third derivative of x**6/1020 - 23*x**5/510 + 79*x**4/204 - 19*x**3/17 + 4906*x**2. Determine f, given that p(f) = 0.
1, 3, 19
Find y, given that 2/7*y**3 - 184/7*y**2 + 372/7 - 190/7*y = 0.
-2, 1, 93
Let t(y) = -y**3 + 24*y**2 - 34*y + 253. Let g be t(23). Let j be (2/(-6))/((-1)/12). Solve 2/17*b**j + 0*b + g*b**3 + 0 + 2/17*b**5 + 0*b**2 = 0.
-1, 0
Let g(m) be the first derivative of -1/3*m**2 + 20/9*m**3 + 1/6*m**4 + 29 - 20/3*m. Factor g(y).
2*(y - 1)*(y + 1)*(y + 10)/3
Let q be 159 - 146 - 86/8. Let d(r) be the second derivative of 2*r**3 - q*r**4 + r + 18*r**2 + 0 - 9/10*r**5 - 1/10*r**6. Find w such that d(w) = 0.
-3, -2, 1
Suppose -3*x = -5*l - 59, 1 = l + 5. Suppose 6*