3. Let b be h(9). Let 3*c**4 - 25*c**3 + 39*c**2 - 42 + 31*c - 2*c**3 - b*c = 0. Calculate c.
-1, 1, 2, 7
Let k = 254225 + -254177. Determine h so that 3/2*h**3 - 9*h**2 + 0*h + k = 0.
-2, 4
Let x = 4385/42 + -725/7. Let g(a) be the first derivative of -x*a**2 - 1/9*a**3 + 0*a - 2. Factor g(t).
-t*(t + 5)/3
Suppose -r - r = -54. Suppose r = 3*g - 2*n + 5*n, -29 = -3*g - 4*n. Factor g - 3*c**2 - 13 + 0*c - 9*c.
-3*(c + 1)*(c + 2)
Let j = -7755 + 23275/3. Let b(a) be the first derivative of -1/3*a**2 - 10/9*a**3 - 21 + 1/6*a**4 + j*a. Factor b(s).
2*(s - 5)*(s - 1)*(s + 1)/3
What is i in 14 + i**2 + 460*i - 928*i + 477*i = 0?
-7, -2
Let k(z) be the third derivative of 0 + 1/280*z**7 - 5/4*z**3 + 9/80*z**5 + 7/160*z**6 - 7/32*z**4 + 39*z + 3*z**2. Solve k(o) = 0 for o.
-5, -2, -1, 1
Let m be 13*(17/(221/54) - 4). Factor -60 - 14*x**2 - 125*x + 17*x**m + 128*x.
3*(x - 4)*(x + 5)
Suppose -29*n + 128*n = 5 - 5. Let h(x) be the first derivative of 23 - 1/2*x**3 + 3/4*x**2 + n*x. Factor h(j).
-3*j*(j - 1)/2
Factor -1/4*p**4 + 0 + 79/4*p**3 + 77/4*p - 155/4*p**2.
-p*(p - 77)*(p - 1)**2/4
Let d = -142183 + 142185. Find h, given that 2/3*h**3 + 32/3*h + 34/3*h**d + 0 = 0.
-16, -1, 0
Let n(i) be the second derivative of 39/20*i**4 + 7/30*i**6 + 4*i - 36/25*i**5 + 2/15*i**3 - 6/5*i**2 - 24. Solve n(b) = 0 for b.
-2/7, 2/5, 1, 3
Let j = 1135162/2837955 - -4/567591. Find v, given that j*v**2 - 32/5 - 6*v = 0.
-1, 16
Let j(n) = 163*n + 7661. Let t be j(-47). Let f(o) be the second derivative of -11/3*o**3 + 6*o**2 + o**4 - 1/10*o**5 + t + 13*o. Determine s so that f(s) = 0.
1, 2, 3
Suppose 1244*y**2 + 7870 + 640*y - y**3 - 7996*y + 3110 - 3*y**3 = 0. Calculate y.
3, 305
What is k in -325 + 86/3*k**2 - 30*k**3 - 7/3*k**4 + 1/3*k**5 + 985/3*k = 0?
-5, 1, 3, 13
Solve 0 + 22/7*h**3 - 12/7*h**2 + 0*h = 0.
0, 6/11
Let c(a) be the first derivative of -a**3/12 + 225*a**2/8 - 223*a/2 - 6640. Let c(d) = 0. Calculate d.
2, 223
Let l(p) be the first derivative of -p**4/12 - 11*p**3 - 1089*p**2/2 + 93*p + 73. Let n(h) be the first derivative of l(h). Suppose n(x) = 0. Calculate x.
-33
Let p(d) be the second derivative of 7/18*d**3 + 0 - 2/3*d**2 + 1/20*d**5 - 129*d + 7/18*d**4. Factor p(j).
(j + 1)*(j + 4)*(3*j - 1)/3
Let i(s) = 41*s**3 - 4578*s**2 - 9404*s + 21. Let p(j) = -4*j**3 + 458*j**2 + 940*j - 2. Let t(m) = 2*i(m) + 21*p(m). Let t(q) = 0. Calculate q.
-2, 0, 233
Solve 528 + 4656/5*a**3 - 5892/5*a**2 - 28/5*a**4 - 7936/5*a = 0.
-1, 2/7, 2, 165
Suppose 0 = l + 5*f - 845, f + 4 - 3 = 0. Let u = 1701/2 - l. Factor 3/2 - u*t**3 + 1/2*t - 3/2*t**2.
-(t - 1)*(t + 1)*(t + 3)/2
Let c(d) be the second derivative of -1 + 11/210*d**5 - 43*d + 1/7*d**4 + 8/63*d**3 + 0*d**2 + 0*d**6 - 1/441*d**7. Let c(g) = 0. Calculate g.
-2, -1, 0, 4
Factor -467 - 440*a**2 + 8*a**3 - 701*a + 519*a - 713*a + 17 - 3*a**3.
5*(a - 90)*(a + 1)**2
Let m(f) be the second derivative of f**4/30 + 14*f**3/5 - 88*f**2/5 + 502*f. Factor m(t).
2*(t - 2)*(t + 44)/5
Factor 17*l**3 + 0*l**3 + l**4 + 0*l**4 + 6*l**2 - 27*l**3 + l**4 + 18*l.
2*l*(l - 3)**2*(l + 1)
Let v = -132 + 276. Factor -546*l + 173*l - 4*l**3 - 923*l + v*l**2.
-4*l*(l - 18)**2
Let g(m) = -3*m**2 - 37*m. Let l(q) = -3*q**2 - 42*q. Let c(y) = 3*g(y) - 2*l(y). Let c(x) = 0. Calculate x.
-9, 0
Solve -295*k**3 - 36278*k**2 - 88*k**4 + 31*k**3 - 5*k**5 + 5*k**3 + 84*k + 36186*k**2 = 0.
-14, -3, -1, 0, 2/5
Suppose -3*u - 58 = -2*n, 56 = 3*u - 6*u + 4*n. Let m be 9/((-90)/u) + 2 + -2. Suppose 13/2*z + m*z**2 + 3/2 = 0. What is z?
-3, -1/4
Let g(b) = -6*b**2 - 2*b + 2. Let u be g(0). Find y, given that 93*y**u - 2*y**3 - 97*y**2 + 7*y**3 - 86*y**2 = 0.
0, 18
Let h(u) be the first derivative of 78 + 0*u - 20/3*u**3 + 2/3*u**6 - 9*u**4 - 12/5*u**5 + 0*u**2. Determine l so that h(l) = 0.
-1, 0, 5
Let r = -2/8613 + 7658/8613. Suppose -r*z - 10/9 + 2/9*z**2 = 0. Calculate z.
-1, 5
Let c(o) = o**2 + 17*o - 81. Let x be c(8). Find z, given that 361*z + 720 + 55*z**4 - 42*z**3 + x*z - 400*z**2 - 5*z**5 - 31*z**3 - 27*z**3 = 0.
-2, -1, 2, 6
Let s(j) be the first derivative of -j**3/3 - 81*j**2/2 + 82*j + 362. Determine f so that s(f) = 0.
-82, 1
Let o = -104953/180 + 2333/4. Let c(d) be the third derivative of 0 - o*d**5 + 2/9*d**4 + 0*d**3 - 2/315*d**7 + 0*d + 1/18*d**6 + 22*d**2. Factor c(y).
-4*y*(y - 2)**2*(y - 1)/3
Factor 0 - 276/7*o**2 - 3/7*o**4 + 0*o - 279/7*o**3.
-3*o**2*(o + 1)*(o + 92)/7
Let h(p) be the third derivative of -2 + 0*p**3 + 0*p**4 + 45/112*p**8 - 6/35*p**7 + 1/10*p**5 + 0*p - 7/40*p**6 + 96*p**2. Factor h(x).
3*x**2*(3*x - 1)**2*(5*x + 2)
Let n(h) = 20*h**4 - 60*h**3 - 260*h**2 + 309*h - 45. Let j(b) = -25*b**4 + 75*b**3 + 325*b**2 - 386*b + 55. Let k(r) = -9*j(r) - 11*n(r). Solve k(v) = 0.
-3, 0, 1, 5
Let d(v) be the first derivative of -1/2*v**2 - 1/4*v**4 - 16*v - 13 + 1/2*v**3 + 1/20*v**5. Let q(s) be the first derivative of d(s). Solve q(l) = 0 for l.
1
Let w be ((-4)/(-53))/((-822)/(-21783)). Solve 1/2*t**3 + 0 + 0*t + t**w = 0 for t.
-2, 0
Let x = 102 + -99. Find b, given that 0*b**2 + 4*b**2 - 51*b**4 + 2*b - 3 + 50*b**4 - 2*b**x = 0.
-3, -1, 1
Factor -2*n - n**2 - 1382 + 2766 - 1384 - 2*n**3 - 3*n**2.
-2*n*(n + 1)**2
Let w be 12/112*4116/504*(-2)/(-14). Factor o + w*o**2 + 7/8.
(o + 1)*(o + 7)/8
Suppose -100*n + 98*n - 46 = 0. Let u = n + 25. Factor d**3 - d**5 - 3*d**4 + 89 - 89 + 5*d**4 - u*d**2.
-d**2*(d - 2)*(d - 1)*(d + 1)
Let n(x) be the first derivative of -1/3*x**4 + 2/3*x + 2/3*x**2 + 2/5*x**5 + 68 - 8/9*x**3. Determine m so that n(m) = 0.
-1, -1/3, 1
Suppose -y = 6*y - 70. Suppose 5*f = h - y, -2*f + 0 = -2*h + 12. Factor 5*g**h + 4*g**4 - 4*g**5 + 3*g**5 - 4*g - 8*g**2 + 4*g**4.
4*g*(g - 1)*(g + 1)**3
Let o(s) = 3*s**2 + s. Let f(r) = 13*r - 16*r - 7*r - 2*r**3 - 14*r**2. Let g(w) = -f(w) - 2*o(w). Let g(b) = 0. What is b?
-2, 0
Suppose 3*k + 3*t - 135 = 0, -3*k + 7*k - 2*t - 204 = 0. Solve -720*h - 7*h**4 - 45*h**5 + k*h**4 + 320 + 520*h**3 + 18*h**4 = 0 for h.
-2, 2/3, 4
Let n(v) = 9*v**2 + 6637*v + 6840. Let r(c) = 10*c**2 + 6635*c + 6890. Let w(y) = -5*n(y) + 4*r(y). Factor w(b).
-5*(b + 1)*(b + 1328)
Let f(i) = -23*i - i + 47 - 92. Let u be f(-2). Factor -1/7*h**u - 4/7 - 9/7*h - 6/7*h**2.
-(h + 1)**2*(h + 4)/7
Let s(y) be the first derivative of -8/5*y**5 - 59 + 14/3*y**3 + 0*y - 5/2*y**4 + 2*y**2. Factor s(x).
-2*x*(x - 1)*(x + 2)*(4*x + 1)
Suppose 70 = 5*x - 5*a, -4*a + 15 = 3. Suppose -5*s + 3 + x = 0. Factor 21*p**2 + 6*p**4 - 24*p**3 - 4*p**5 - s*p - 37*p**2 - 12*p**4 - 10*p**4.
-4*p*(p + 1)**4
Let v(k) be the third derivative of 5/3*k**5 - 2/3*k**3 + 11/6*k**4 + 0*k + 0 + 13/30*k**6 + 18*k**2. Factor v(u).
4*(u + 1)**2*(13*u - 1)
Let s(g) be the first derivative of g**6/9 + 8*g**5/5 + 19*g**4/3 + 104*g**3/9 + 11*g**2 + 16*g/3 + 4637. Suppose s(l) = 0. Calculate l.
-8, -1
Let b be (-100)/(-26) + 96/624. Find h, given that -45*h**2 + 16*h**b + 21*h + 27*h**3 - 15*h**4 - 4*h**4 = 0.
0, 1, 7
Let n = -405 + 420. Suppose 2*d + 10*d**2 - n*d**2 + 4*d**2 = 0. Calculate d.
0, 2
Factor 2*q**4 - 2618 + 4005 + 4230*q + 25*q**3 - 40559*q**2 + 41*q**3 + 6713 + 41361*q**2.
2*(q + 5)*(q + 9)**2*(q + 10)
Find w such that 264*w - 12*w**3 - 28*w**4 + 156 + 208*w**2 + 148*w - 62*w - 2*w**5 = 0.
-13, -2, -1, 3
Suppose -173*t + 3731 = 1140 + 1233 + 1012. Suppose -25 = -3*j - 2*j. Suppose 3/7*m**3 - 4/7*m + 1/7*m**j + 4/7*m**t - 4/7*m**4 + 0 = 0. What is m?
-1, 0, 1, 2
Let w be (-6732)/(-1836) - (-101)/15. Factor -48/5*d + 4/5*d**2 - w.
4*(d - 13)*(d + 1)/5
Let a(b) be the second derivative of b**5/5 + 11*b**4 - 458*b**3/3 + 390*b**2 + 2244*b. Factor a(o).
4*(o - 5)*(o - 1)*(o + 39)
Let j(o) = -50*o**3 - 4*o**2 - 12*o - 8. Let s be j(-1). Suppose -14*n = -s*n + 72. Factor 0 - 1/3*m**n + 2/3*m.
-m*(m - 2)/3
Let u(v) be the third derivative of v**6/660 - 3*v**5/110 - v**4/2 - 56*v**3/33 - 36*v**2 + 2*v. Factor u(o).
2*(o - 14)*(o + 1)*(o + 4)/11
Suppose -234*c + 78 = -228*c. Let n be (c - (-1395)/(-105)) + (-24)/(-35). Factor 8/15*r**2 + 0 - n*r**4 + 0*r**3 + 2/15*r**5 + 0*r.
2*r**2*(r - 2)**2*(r + 1)/15
Suppose -3345*d - 6693/2 + 3/2*d**2 = 0. What is d?
-1, 2231
Let b be (-2)/(-28) + 28 + (-1460)/56. Let o(v) be the second derivative of 0 + 1/2*v**3 - 1/8*v**4 - 39*v + 9/4*v**b. Factor o(n).
-3*(n - 3)*(n + 1)/2
Suppo