-2091)/(-612)). Let -15/2*o**n - 51/2*o**3 + 51/2*o - 3/2*o**2 + 9 = 0. What is o?
-3, -1, -2/5, 1
Let -276/7 - 104/7*a - 4/7*a**2 = 0. What is a?
-23, -3
Factor 124/3 + 1/3*x**2 - 64/3*x.
(x - 62)*(x - 2)/3
Let p(c) = 18*c**4 + 77*c**3 + 55*c**2 - 688*c - 953. Let a(q) = 8*q**4 + 39*q**3 + 27*q**2 - 344*q - 477. Let v(k) = -7*a(k) + 3*p(k). Factor v(i).
-2*(i - 3)*(i + 2)**2*(i + 20)
Determine g so that 3*g**5 - 60*g + 19*g**4 + 65*g - 53*g - 60*g**2 - 4*g**4 = 0.
-4, -2, -1, 0, 2
Let y be (-2)/(14/(-3))*(-10 + 17). Suppose -3*k - 149*k**y - 3*k**2 + 148*k**3 - k**2 = 0. Calculate k.
-3, -1, 0
Suppose -5*y = 3*y - 40. Let k be 2/(8/140*y). Factor -5*b + 1 + 5 - 3*b**3 + k*b + 7*b.
-3*(b - 2)*(b + 1)**2
Let x(f) be the first derivative of -f**4/10 + 208*f**3/15 - 403*f**2/5 + 120*f + 2355. Factor x(c).
-2*(c - 100)*(c - 3)*(c - 1)/5
Suppose 0 = 6*w - 88 + 76. Suppose w*c + 2 = -4*y, -y + 6 - 1 = -5*c. Factor 3/7*s**4 - 3/7 + y*s**2 + 6/7*s**3 - 6/7*s.
3*(s - 1)*(s + 1)**3/7
Let m(u) be the first derivative of u**5 + 85*u**4/4 - 100*u**3 + 10*u**2 + 400*u - 194. Factor m(k).
5*(k - 2)**2*(k + 1)*(k + 20)
Suppose z = 4*t + 11294, 8*t - 10*t + 22588 = 2*z. Factor 815*u - 8102*u**2 + 8098*u**2 - 9442 - z - 239*u.
-4*(u - 72)**2
Let q = 7109 - 7109. Solve q + 60/11*z**4 - 8/11*z + 50/11*z**3 + 18/11*z**5 + 0*z**2 = 0 for z.
-2, -1, -2/3, 0, 1/3
Suppose 20*t**4 - 546*t**3 - 377*t**3 + 775*t**3 + 80 - 10*t - 314 + 214*t**2 + 157*t + t**5 = 0. Calculate t.
-26, -1, 1, 3
Let z(l) = -12*l**3 - 776*l**2 - 1839*l - 523. Let c(m) = -25*m**3 - 1565*m**2 - 3675*m - 1045. Let k(p) = -3*c(p) + 5*z(p). Factor k(u).
5*(u + 2)*(u + 52)*(3*u + 1)
Factor 0*k + 0 + 326/15*k**2 - 2/15*k**3.
-2*k**2*(k - 163)/15
Let w(v) be the third derivative of v**8/336 - 4*v**7/315 + 7*v**6/360 - v**5/90 - 15*v**2. Solve w(n) = 0 for n.
0, 2/3, 1
Let x(o) = o**4 + 55*o**3 - 24*o**2 - 516*o + 724. Let q(y) = -y**4 + 2*y**3 - 3*y**2 - 1. Let k(a) = 4*q(a) + x(a). Factor k(m).
-3*(m - 20)*(m - 2)**2*(m + 3)
Let x = -66 - -68. Factor -27*z + 82*z**x + 3*z**3 - 47*z**2 - 59*z**2.
3*z*(z - 9)*(z + 1)
Let p be (3 - (-70)/(-15))/(2/(-6)). Let t be p*5/((-5)/(-3)). Factor 13*a**5 - 16*a**5 + 6*a**2 + 8*a**4 - t*a**3 + 4*a**4.
-3*a**2*(a - 2)*(a - 1)**2
Let i(h) = 0 + 3*h - 13 + 1. Let x(v) = 50*v**2 - 16*v**2 - 14*v**2 - 19*v**2 - v. Let c(k) = i(k) + 3*x(k). Determine a so that c(a) = 0.
-2, 2
Suppose -33 - 162 = 4*k - w, 0 = -5*k + 2*w - 246. Let o be ((-12)/k)/((-2)/(-16)). Determine j so that -1/2*j**o + 0 - 3/2*j = 0.
-3, 0
Let d(a) = -24*a - 237. Let u be d(-10). Suppose -5*m**5 + 314*m**2 - m**3 - 310*m**2 - u*m**3 - 13*m**4 = 0. What is m?
-2, -1, 0, 2/5
Solve 264/5*t**3 - 4/5*t**4 + 0 + 504/5*t - 764/5*t**2 = 0 for t.
0, 1, 2, 63
Let v(q) be the third derivative of 7/50*q**5 + 0*q - 124*q**2 - 1/30*q**6 + 1/525*q**7 + 0*q**4 + 0*q**3 + 0. Let v(f) = 0. Calculate f.
0, 3, 7
Let i(d) be the first derivative of 15*d**4/4 + 538*d**3/3 - 36*d**2 - 107. Determine k so that i(k) = 0.
-36, 0, 2/15
Let b(n) be the first derivative of -n**6/3 - 24*n**5/5 + 3*n**4/2 + 68*n**3/3 - 24*n**2 - 253. Determine l, given that b(l) = 0.
-12, -2, 0, 1
Let f(r) be the first derivative of 7/33*r**3 + 7/44*r**4 + 1/11*r**2 + 2/55*r**5 + 41 + 0*r. Factor f(s).
s*(s + 1)*(s + 2)*(2*s + 1)/11
Suppose -49*k + 44 + 183 = 80. Find w, given that 2/5*w**k + 8/5*w**2 + 8/5*w + 0 = 0.
-2, 0
Suppose -i - 4 = -8. Determine g, given that 13*g + 2*g**i - 34*g - 3*g**2 + 12*g**3 - 5*g**4 + 3*g = 0.
-1, 0, 2, 3
Let a(p) be the second derivative of -111*p + 18*p**4 - 43/2*p**3 + 2 + 9*p**2. Suppose a(j) = 0. Calculate j.
2/9, 3/8
Let x = -45 - -175. Factor 1036*m**2 + 47*m**4 - 5*m**5 - 1496*m + 354 - 3*m**5 - 619*m**3 + x + 549*m**2 + 7*m**5.
-(m - 22)**2*(m - 1)**3
Let p(w) be the second derivative of -14*w**6/15 + 47*w**5/5 + 70*w**4 + 392*w**3/3 + 80*w**2 - 1142*w + 2. Determine y so that p(y) = 0.
-2, -1, -2/7, 10
Let r(t) be the second derivative of -28*t + 0 + 1/50*t**5 + 1/10*t**4 + 0*t**2 + 2/15*t**3. Find v, given that r(v) = 0.
-2, -1, 0
Factor -22/3*a**2 - 2/3*a**3 + 640/3 + 32/3*a.
-2*(a - 5)*(a + 8)**2/3
Let s(z) = 150*z**2 - 310*z**2 + 155*z**2 + 30 + 13*z. Let g(p) = 23*p**2 - 53*p - 121. Let v(l) = -4*g(l) - 18*s(l). Find j, given that v(j) = 0.
-7, -4
Let k(o) = -o**3 + 15*o**2 + 20*o - 19. Let c be k(16). Let t = c - 35. Factor -6*g**2 + 151 + 7*g**5 + 2*g**4 + 12*g**3 - 4*g**5 - 15*g + t*g**4 - 157.
3*(g - 1)*(g + 1)**3*(g + 2)
Let s(v) be the first derivative of v**6/30 + 32*v**5/25 + 3*v**4 + 884. Factor s(x).
x**3*(x + 2)*(x + 30)/5
Let h(j) be the second derivative of -5*j**4/12 + 570*j**3 - 292410*j**2 + 13*j - 28. Factor h(s).
-5*(s - 342)**2
Let p be (-15)/(-9*(-1)/555). Let h = 2777/3 + p. Factor 2/3 - h*o**3 - 11/6*o - 19/6*o**2.
-(o + 1)*(o + 4)*(4*o - 1)/6
Let o(u) = -15*u - 463. Let h be o(-32). Suppose -4*m + 5*i = -0*i + h, -m = 3*i - 17. Factor 2/11*f**m + 8/11*f - 10/11.
2*(f - 1)*(f + 5)/11
Let q(k) be the third derivative of -k**8/616 - 74*k**7/1155 - k**6/15 + 49*k**5/165 + 47*k**4/132 - 8*k**3/11 + 4284*k**2. Solve q(x) = 0 for x.
-24, -1, 1/3, 1
Let d(b) be the second derivative of -b**5/2 + 89*b**4 - 4644*b**3 - 17496*b**2 + 5808*b. Let d(l) = 0. Calculate l.
-6/5, 54
Let m(c) be the second derivative of -2*c**4/15 + 223*c**3/15 + 56*c**2/5 - 1316*c. Factor m(b).
-2*(b - 56)*(4*b + 1)/5
Let q = -87 - -129. Let c be ((-2)/(-7))/(6/q). Factor 6*j**c - j + j**2 - j**2 - 5*j**2.
j*(j - 1)
Let v be -2*(27 + 4217/(-136) - ((-60)/68 + 1)). Factor 3/2*p + 0 - 9/2*p**3 + v*p**2.
-3*p*(p - 2)*(6*p + 1)/4
Let s = 794 - 786. What is l in 4*l**3 + 15*l**4 - s*l**2 - 13*l**4 - 8*l + 8*l - l**5 = 0?
-2, 0, 2
Let w(o) be the third derivative of -o**5/90 + 13*o**4/4 - 230*o**3/9 + 1208*o**2 - 1. Factor w(y).
-2*(y - 115)*(y - 2)/3
Let f be ((-495)/(-6))/(12/(-24)). Let i = f + 167. Factor -3/2*o**i + 3*o + 1/4*o**3 - 2.
(o - 2)**3/4
Factor 1270*q**3 + 13*q**2 - 30*q - 421*q**3 - 424*q**3 - 424*q**3.
q*(q - 2)*(q + 15)
Suppose 3890*s + 81 = 3887*s. Let i be (-62)/(-961) + s/(-62). Factor 9*w - i*w**2 - 81/2.
-(w - 9)**2/2
Solve -87/4*y - 39/2*y**2 + 3/4*y**3 + 81/2 = 0.
-2, 1, 27
Let f be 6/8 + 9/(-12). Suppose -p = -4 - f, -3*i + 18 = 3*p. Determine k so that 18*k**2 - 17*k**i - 29*k**2 + 60*k - 12*k**3 + 2*k**4 + 72 + 2*k**4 = 0.
-2, -1, 3
Let b = 178 + -188. Let z be 5 + 36/b + (-6)/(-10). Solve 0*w**z - 1/2 + w**3 + 1/2*w**4 - w = 0.
-1, 1
Let l(k) be the first derivative of -4/21*k**6 - 153 - 16/21*k**3 + 2/7*k + 2/5*k**5 + 2/7*k**2 + 1/7*k**4. What is b in l(b) = 0?
-1, -1/4, 1
Let p(y) be the first derivative of 3*y**4/28 - 17*y**3/7 - 111*y**2/14 - 57*y/7 - 2039. Find a such that p(a) = 0.
-1, 19
Let m(s) be the second derivative of -109*s + 0 - 5/72*s**4 - 125/12*s**2 - 65/18*s**3. Let m(j) = 0. Calculate j.
-25, -1
Let k(a) be the third derivative of 23*a + a**2 + 0*a**3 + 1/96*a**4 + 0 + 1/240*a**5. Suppose k(z) = 0. What is z?
-1, 0
Suppose -4 - 126 = -13*z. Let w be z - (-304)/(-56) - (2 + 2). Factor 10/7*t - 6/7*t**2 + 2/7*t**4 - w - 2/7*t**3.
2*(t - 1)**3*(t + 2)/7
Suppose -t - 389 = -4*m, -7*t = 4*m - 6*t - 395. Suppose m - 24 = 37*b. Let 12/5*z**b + 3*z + 6/5 + 3/5*z**3 = 0. Calculate z.
-2, -1
Let n be (-161)/(-49) - (-11 + 1)/(1274/91). Solve 0 + 16/5*q**3 + 0*q + 14/5*q**2 + 2/5*q**n = 0.
-7, -1, 0
Let p(y) = -6*y**5 + y**3 - y**2 + y - 1. Let a(v) = -13*v**5 + 21*v**4 + 71*v**3 + 69*v**2 + 26*v - 2. Let s(f) = 2*a(f) - 4*p(f). Find b such that s(b) = 0.
-1, 0, 24
Let 708/7*x**3 + 0 + 0*x + 125316/7*x**2 + 1/7*x**4 = 0. What is x?
-354, 0
Let v(p) be the second derivative of p**5/10 + 100*p**4/9 - 23*p**3/3 - 134*p**2/3 + 215*p - 4. Factor v(y).
2*(y - 1)*(y + 67)*(3*y + 2)/3
Let w(t) be the first derivative of t**6/1620 - t**4/27 + t**3/3 + t**2 + 16. Let n(y) be the third derivative of w(y). Suppose n(o) = 0. What is o?
-2, 2
Let h = 43 - 37. Suppose -h*o + 11 = -7. Solve -3*d + 2*d**2 + 4*d - 2 - 3*d + o*d - d**3 = 0.
-1, 1, 2
Let 553*h + 39*h**3 + 11*h**4 + 108 - 697*h + 3*h**2 + 14*h**4 - 28*h**4 - 3*h**5 = 0. Calculate h.
-3, 1, 2
Let a = 175 + -170. Let b = 9 - 7. Determine f so that -7 - 1 + 4*f**b - 9*f + a*f = 0.
-1, 2
Let l(v) be the first derivative of v**7/140