b = h + 9. Solve -11*i - 15*i**2 - 5*i**3 + b*i - 4*i = 0 for i.
-2, -1, 0
Solve -2/7*c**4 + 8/7*c + 10/7*c**3 - 16/7*c**2 + 0 = 0 for c.
0, 1, 2
Let d be 12 + (240/(-50) - 7). Let y(f) be the first derivative of 0*f**3 + 25 - 2*f**2 + 3/4*f**4 + 0*f + d*f**5. Solve y(a) = 0 for a.
-2, 0, 1
Let r(d) be the second derivative of -d**2 - 1/8*d**4 + 32 - 3*d + 1/2*d**3 + 1/80*d**5. Factor r(g).
(g - 2)**3/4
Let o(w) be the first derivative of -w**3/4 + 219*w**2/4 + 222*w + 2049. Factor o(s).
-3*(s - 148)*(s + 2)/4
Let c(r) be the first derivative of -r**6/210 + 2*r**5/35 - 4*r**4/21 + 13*r**2 + 74. Let m(y) be the second derivative of c(y). Factor m(n).
-4*n*(n - 4)*(n - 2)/7
Factor 21*s**3 - 1250 + 25*s**3 - 3135*s - 50*s**3 + 25*s**3 + 4350*s**2 + 14*s**3.
5*(s - 1)*(s + 125)*(7*s + 2)
Determine x, given that 768*x**2 - 3 + 387*x**3 + 2 + x**3 - 7 + 372*x = 0.
-1, 2/97
Let r(v) = 8*v**3 + 15*v**2 - 40*v - 76. Let a be r(-2). Factor 0 - 20*l**3 - 5/2*l**5 + 0*l + a*l**2 + 45/2*l**4.
-5*l**3*(l - 8)*(l - 1)/2
Suppose -6*o + o + 460 = 0. Factor 8 + 32 + 7*v + 10 + 15*v**2 - o*v.
5*(v - 5)*(3*v - 2)
Let g(l) be the first derivative of -11 - 12/13*l + 4/39*l**3 + 5/13*l**2 - 1/26*l**4. Suppose g(a) = 0. What is a?
-2, 1, 3
Let g be 74/5 - ((-28)/(-10) + -3). Factor g*p**2 + 803*p**3 - 20 - 408*p**3 - 400*p**3.
-5*(p - 2)**2*(p + 1)
Factor -216 - 24*r**2 + 37*r**2 - 14*r**2 - 75*r.
-(r + 3)*(r + 72)
What is l in -83*l**3 + 2*l**2 - 89*l**3 - 101*l**3 - 40*l + 291*l**3 + 12 - 2*l**5 + 12 - 2*l**4 = 0?
-3, -2, 1, 2
Let t be -1 + (10/(-24))/(895/(-2864)). Factor 0 + 13/3*z - t*z**2.
-z*(z - 13)/3
Let u(m) be the first derivative of 9*m**4/2 + 188*m**3 + 2300*m**2 + 8464*m/3 - 3507. Determine l, given that u(l) = 0.
-46/3, -2/3
Let b(h) = h**3 - h**2 + h + 5. Let m be b(0). Let x be (m/(-5) + -17)/(165/(-22)). Factor 10*z - x + 18/5*z**2.
2*(z + 3)*(9*z - 2)/5
Let t be (6356/18480 - 5/12)/(1/(-20)). Suppose 2/11*h**2 - t*h + 14/11 = 0. Calculate h.
1, 7
Let s be ((-836535)/210)/(-257) + 0 + -8 + 0. Factor s*z - 3/2 - 75/8*z**2.
-3*(5*z - 2)**2/8
Let u be 190/(-418)*((-350)/60 + 9/(-6)). Factor -14/9*t**2 + u + 2/9*t**3 + 14/9*t.
2*(t - 5)*(t - 3)*(t + 1)/9
Let a(m) = m**3 + 36*m**2 + 31*m - 130. Let f be a(-35). Suppose -58 = -f*s - 48. Suppose -s + 1/2*x**3 - 3/2*x**4 - 1/2*x + 5/2*x**2 = 0. Calculate x.
-1, -2/3, 1
Suppose 32*z - 57 - 39 = 0. Factor 9*u**z - 64 + 73*u - 12*u**3 - 72*u**2 + 59*u + 7*u**3.
4*(u - 16)*(u - 1)**2
Let l be (0 + -2 + (-84)/12)/(-1). Let u(z) be the first derivative of -2*z**3 - 15*z + 11*z**3 + 18*z - l*z**2 + 20. Factor u(g).
3*(3*g - 1)**2
Let x = 54117 - 54114. Determine g, given that 3*g**4 + 3/5*g**5 + 0 - 27/5*g**2 + 9/5*g**x + 0*g = 0.
-3, 0, 1
Factor -20*z**4 + 17 + 23*z**4 - 58 + 9*z + 3*z**2 - 9*z**3 + 35.
3*(z - 2)*(z - 1)**2*(z + 1)
Let b = 277 + -272. Determine g so that g**5 - 51*g**3 - 3*g**5 - 3*g**b + 56*g**3 = 0.
-1, 0, 1
Let k = 179/2772 - 17/462. Let s(t) be the second derivative of 0 - 1/18*t**3 + 3*t - k*t**4 + 0*t**2 + 1/30*t**5. Factor s(b).
b*(b - 1)*(2*b + 1)/3
Let y(z) be the first derivative of 16*z**5/5 - 33*z**4 - 112*z**3/3 + 18*z**2 - 940. Suppose y(p) = 0. What is p?
-1, 0, 1/4, 9
Let h(d) = 14 + 48 + 49*d - 51*d. Let k be h(0). Factor k*u**3 + 3*u**2 + 5*u**4 - 2*u**4 - 68*u**3.
3*u**2*(u - 1)**2
Let l(a) be the first derivative of -a**4/18 + 536*a**3/3 - 215472*a**2 + 115492992*a + 6353. Factor l(d).
-2*(d - 804)**3/9
Let a(t) be the first derivative of 1/3*t**5 - 5*t**3 + 0*t**4 + 0*t + 0*t**2 + 84. Factor a(k).
5*k**2*(k - 3)*(k + 3)/3
Let k = -4 - -7. Suppose 75*n - 136 - 239 = 0. Solve 3 - k + n*h**2 - 5 = 0.
-1, 1
Let p be (3*(0 + 1) - 2)*(-30 + 13 - -19). Factor -13/6*j - 20/3*j**p + 1 - 17/6*j**3 + 2/3*j**4.
(j - 6)*(j + 1)**2*(4*j - 1)/6
Let k(m) = 5*m**3 + 53*m**2 + 149*m + 165. Let s(b) = 11*b**3 + 107*b**2 + 289*b + 329. Let t(p) = 7*k(p) - 3*s(p). Factor t(z).
2*(z + 2)**2*(z + 21)
Suppose 0 = 2*b - 21*y + 17*y, -y = -3. Let x(k) = -2*k**2 - 4*k + 98. Let r be x(b). What is d in 0*d - 2/3*d**5 + 0*d**4 + 4/3*d**2 + r*d**3 + 0 = 0?
-1, 0, 2
Let h = 9 + -12. Let t be (-55)/(-7) + h/(-21). Determine g, given that g**4 - 2*g**2 - 2*g**4 - 4*g**3 + 7*g**4 + t*g**3 = 0.
-1, 0, 1/3
Let m(r) = 153*r - 360. Let i be m(16). Let b = -14606/7 + i. Suppose -b*y**2 + 0 + 2/7*y**5 + 12/7*y + 10/7*y**4 - 2*y**3 = 0. Calculate y.
-6, -1, 0, 1
Let a = -346/7 - -1772/35. Let s be (1 + 1)*(-10)/((-1800)/234). Factor -a*x**3 + 4/5 + 1/5*x**4 - 12/5*x + s*x**2.
(x - 2)**2*(x - 1)**2/5
Suppose -26/9*g**2 + 172/9*g - 16 - 2/9*g**3 = 0. Calculate g.
-18, 1, 4
Let o(v) = 36*v**2 - 359*v - 4. Let f be o(10). Let g(l) be the first derivative of -12 + 3/4*l**4 - 3/5*l**5 + 3*l**3 - 15/2*l**2 + f*l. Factor g(n).
-3*(n - 1)**3*(n + 2)
Let m(x) be the first derivative of 5*x**7/42 - x**6/3 - 3*x**5/4 + 10*x**4/3 - 10*x**3/3 - 69*x + 73. Let t(q) be the first derivative of m(q). Factor t(a).
5*a*(a - 2)*(a - 1)**2*(a + 2)
Let s = -12065 - -24139/2. Let w(x) be the first derivative of -1/2*x**6 + 2*x**3 - 3/2*x**4 + s*x**2 - 16 - 9/5*x**5 + 3*x. Factor w(r).
-3*(r - 1)*(r + 1)**4
Let r(s) = 16 + 13 + 3*s - 9*s**2 + 5*s + s**3 - 25. Let n be r(8). Solve -6*x**n + 3*x**4 + 4*x + 6*x**3 + 0*x**3 + 4*x**4 + 9*x**2 = 0.
-4, -1, 0
Let u(j) = 11*j**3 + 6*j**2 + 5*j + 27. Let f be u(-5). Let h = f + 1226. Solve 3/4*c + 0 - 3/8*c**2 - 3/8*c**h = 0 for c.
-2, 0, 1
Factor -2/7*k**2 - 262/7 - 264/7*k.
-2*(k + 1)*(k + 131)/7
Let g = 175 - 183. Let x be g/24*9/(-6). Factor -1/2*h**3 + 3/4*h**4 - 1/4*h**5 - x*h**2 - 1/4 + 3/4*h.
-(h - 1)**4*(h + 1)/4
Let j = 409359/655 - 1071/131. Let t = -612 + j. Find d, given that 2/5*d**4 - 64/5 - t*d**2 + 16*d - 4/5*d**3 = 0.
-4, 2
Let i = 279812/233185 + 2/46637. Factor 0 + i*m**2 - 2/5*m**3 + 8/5*m.
-2*m*(m - 4)*(m + 1)/5
Let a be 35/6 - (-75)/50. Let j be 10/55 - (-192)/33. Solve -4/3 - a*p - j*p**2 = 0.
-1, -2/9
Let d = 32 + -34. Let g be ((-180)/75)/(d/10). Factor 53*i**2 + 8*i**4 - 23*i**3 - g*i - 13*i**2 - 13*i**3.
4*i*(i - 3)*(i - 1)*(2*i - 1)
Factor -529 + 193*v**2 + 1050*v - 113*v**2 - 2639 - 78*v**2.
2*(v - 3)*(v + 528)
Let y be 8/(-3) + 1212/9. Factor y*t**4 + 9805*t**5 - 270*t**3 - 15*t**4 - 9817*t**5 - 75*t**2.
-3*t**2*(t - 5)**2*(4*t + 1)
Let h(r) be the third derivative of -r**6/60 - r**5/15 + 19*r**4/12 + 20*r**3/3 + 462*r**2. Suppose h(q) = 0. What is q?
-5, -1, 4
Let a(y) be the third derivative of -y**8/672 + y**7/42 + 29*y**6/80 + 7*y**5/6 + 4*y**4/3 - 4192*y**2. Suppose a(s) = 0. What is s?
-4, -1, 0, 16
Let l = -199 - -217. Determine m, given that -21*m**2 - 45*m + 3*m**5 - 9*m**2 - 10*m**2 + 18*m**3 + 54 - 8*m**2 + l*m**4 = 0.
-3, -2, 1
Let l be (8/(-3))/(-9 + ((-1)/3*381)/(-15)). Suppose 1/4*h**l + 0*h**4 + 3/4*h - h**3 - 1/2 + 1/2*h**2 = 0. Calculate h.
-2, -1, 1
Let w(v) be the first derivative of -40*v - 5/3*v**3 - 45/2*v**2 + 177. Find u such that w(u) = 0.
-8, -1
Let f(v) = 5*v**2. Let g be f(-1). Suppose -i + 6*i = -g*j + 520, -j - 2*i + 101 = 0. Factor -7*c**2 + 107*c - c**2 - j*c - 44*c**3.
-4*c**2*(11*c + 2)
Let m(y) = 33*y**2 + 77*y + 97. Let z(l) = -33*l**2 - 78*l - 114. Let c(w) = -6*m(w) - 5*z(w). Factor c(a).
-3*(a + 2)*(11*a + 2)
Let i(r) be the first derivative of 2*r**5/25 - 2*r**4/5 - 2*r**3/5 + 14*r**2/5 - 16*r/5 - 1312. Find x such that i(x) = 0.
-2, 1, 4
Suppose -1023 - 810 = -611*w. Suppose -1/4*p + 0 + 1/3*p**2 - 1/12*p**w = 0. Calculate p.
0, 1, 3
Suppose 2*c + 120 = 4*v, -3*c + 2*c = 0. Suppose 23*i**2 + v*i**2 + 25*i**2 - 81*i**2 + 3*i = 0. What is i?
0, 1
Let d(n) be the second derivative of -n**7/11340 - n**6/108 - 5*n**5/12 - n**4/3 + 7*n**2/2 + n + 3. Let a(h) be the third derivative of d(h). Factor a(v).
-2*(v + 15)**2/9
Let d(l) be the first derivative of 46 + 15/2*l**2 + 10/3*l**3 - 10*l - 15/4*l**4. Factor d(p).
-5*(p - 1)*(p + 1)*(3*p - 2)
Let c(p) be the third derivative of -1/90*p**5 - 1/9*p**3 + 0*p + 0 - 170*p**2 - 1/18*p**4. Factor c(y).
-2*(y + 1)**2/3
Find g, given that -2500/9*g**2 + 0 - 418/3*g**3 - 2/9*g**4 + 0*g = 0.
-625, -2, 0
Let x be -1 + (0/(1 + 0) - -4). Factor -4*l**2 - 3*l**3 + 36*l**3 + 2*l**4 - 19*l**x + 6*l**4.
2*l**2*(l + 2)*(4*l - 1)
Let s(l) = l**2 - 15*l - 10. Let p(x) = 3*x + 1. Suppose -2*c + 24 - 