- 3 - 8*z**2 - 4*z**2 + 6*z**3 - 29*z**4 - 25*z**4 - 23*z**4.
-(z - 3)*(z - 1)**3
Let t(o) be the third derivative of o**5/105 + 73*o**4/42 + 184*o**3/7 + 3*o**2 + 5*o - 166. Find d such that t(d) = 0.
-69, -4
Let o(l) be the first derivative of 15*l**2 + 1/4*l**4 - 25*l - 7/2*l**3 - 47. Let p(c) be the first derivative of o(c). Factor p(z).
3*(z - 5)*(z - 2)
Let u be (-2 - 305/(-150))*((-5)/2 - -5). Let s(w) be the second derivative of -46*w + u*w**4 + 0 + 0*w**3 + 1/20*w**5 + 0*w**2. Factor s(a).
a**2*(a + 1)
Let j(u) be the first derivative of u**7/70 - 3*u**6/40 - 13*u**5/20 + 15*u**4/8 + 117*u**2/2 - 276. Let o(x) be the second derivative of j(x). Factor o(l).
3*l*(l - 5)*(l - 1)*(l + 3)
Suppose 5*s + 0 - 10 = 0. Let l(r) = -r + 4. Let g be l(-6). Factor g + 0 - 967*n + 962*n - 10*n**s + 5*n**3.
5*(n - 2)*(n - 1)*(n + 1)
Let a = 1395200 - 2790397/2. Determine c so that 6 - a*c**2 + 2*c - 1/2*c**3 = 0.
-3, -2, 2
Let z(y) be the third derivative of -3/2*y**3 - 5/16*y**4 + 0*y + 0 + 1/40*y**5 + 55*y**2. What is l in z(l) = 0?
-1, 6
Determine y so that 21/2*y - 9 - 1/2*y**3 - y**2 = 0.
-6, 1, 3
Let q(l) be the second derivative of 3*l**5/4 + 7*l**4/4 - 4*l**3 - 6*l**2 + 1283*l. Let q(w) = 0. What is w?
-2, -2/5, 1
Let q(y) be the second derivative of -29/33*y**4 + 18/55*y**5 + 43/33*y**3 + 0 + 1/231*y**7 - 2/33*y**6 - 12/11*y**2 + 16*y. Determine s so that q(s) = 0.
1, 3, 4
Let f = 574526/359135 + 18/71827. Let 4/5 + 3*i**4 - 9/5*i**5 - 19/5*i**2 + 17/5*i**3 - f*i = 0. What is i?
-1, -2/3, 1/3, 1, 2
What is o in 272/3*o - 500/3*o**2 + 116/3*o**4 - 4*o**5 - 20/3*o**3 + 48 = 0?
-2, -1/3, 1, 2, 9
Factor 154/5 + 468/5*h**2 - 464/5*h - 32*h**3 + 2/5*h**4.
2*(h - 77)*(h - 1)**3/5
Let i(a) be the first derivative of a**5/15 + 5*a**4/9 + 14*a**3/9 + 2*a**2 + 31*a - 163. Let r(t) be the first derivative of i(t). Solve r(b) = 0.
-3, -1
Let b(l) be the first derivative of 3*l + 3/4*l**2 - l**3 - 3/8*l**4 + 42. Find t such that b(t) = 0.
-2, -1, 1
Let t be (((-126)/16)/(-9))/(99/2376). Let u(m) be the second derivative of 1/18*m**4 - 1/27*m**3 + 1/90*m**5 + 0 + t*m - 1/3*m**2. Find b, given that u(b) = 0.
-3, -1, 1
Let p = 5924594/9 + -658288. Factor p*q - 2/9*q**2 + 4/9.
-2*(q - 2)*(q + 1)/9
Factor -5*v**3 - 11*v + 27*v + 424*v + 95*v**2 + 460.
-5*(v - 23)*(v + 2)**2
Let j(z) = 7*z**5 - 77*z**4 + 280*z**3 - 300*z**2 + 2*z + 6. Let p(r) = -r**5 + r**4 - r - 3. Let n(a) = j(a) + 2*p(a). What is k in n(k) = 0?
0, 2, 3, 10
Let f be (2/8 + 27/(-140))*1400/2400. Let u(y) be the third derivative of 0*y + 5/3*y**4 + 0 + f*y**5 + 100/3*y**3 + 26*y**2. Suppose u(d) = 0. What is d?
-10
Suppose -5*b + 3 = -k, -3*k + 2*b = -4*k + 4. Suppose 49*j - y - 18 = 47*j, -42 = 2*j + 4*y. Let 0 + 2/7*t**j - 2/7*t**4 + 6/7*t + 10/7*t**k = 0. Calculate t.
-1, 0, 3
Let d(o) = -86*o**3 + 374*o**2 - 264*o - 104. Let j(s) = -9*s**3 - s. Let i(m) = d(m) - 8*j(m). Let i(r) = 0. What is r?
-2/7, 1, 26
Let f be (-26)/3 + 8 + (-10)/(-6). Factor 11*q**3 + q**2 + 7*q - 7*q - 12*q + f + q**3 - 2.
(q - 1)*(q + 1)*(12*q + 1)
Let g(y) be the third derivative of -1/80*y**6 - 75/16*y**4 - 3/8*y**5 + 76*y**2 - 125/4*y**3 + 0 + 0*y. Factor g(j).
-3*(j + 5)**3/2
Let i(h) be the third derivative of 0*h + 0 + 1/30*h**5 - 3/4*h**4 + 32*h**2 + 8/3*h**3. Find x such that i(x) = 0.
1, 8
Let z(a) be the second derivative of -a**7/504 + 11*a**6/72 + 23*a**5/24 - 22*a**4/3 + 37*a. Let u(p) be the third derivative of z(p). Factor u(w).
-5*(w - 23)*(w + 1)
Let u(j) = 52*j + 399. Let r be u(4). Let w = r + -2425/4. Factor -3 - 15/4*i - w*i**2.
-3*(i + 1)*(i + 4)/4
Let d = -28 + 58. Factor 15*a**5 + d*a**4 + 45*a**3 + 29*a**2 - 9*a**2 - 7*a**5 - 3*a**5.
5*a**2*(a + 1)**2*(a + 4)
Let t(r) = -r**3 + 65*r**2 + 18*r + 7774. Let f be t(67). Solve -15/4*l - 3/4*l**3 - 6*l**f + 21/2 = 0 for l.
-7, -2, 1
Let n(g) be the first derivative of -7*g + 0*g**3 + 0*g**2 + 5/12*g**4 - 1/4*g**5 - 46. Let d(i) be the first derivative of n(i). Suppose d(w) = 0. What is w?
0, 1
Let t be (((-8)/(-6))/2)/(21/(-126)). Let z be (2/t)/(1/(-10)). Find a such that -55*a + 55*a + z*a**2 + 5*a**3 = 0.
-1, 0
What is x in 3/2*x**4 + 6 + 63/4*x**3 + 99/4*x + 33*x**2 = 0?
-8, -1, -1/2
Let k be (-207)/46*108/(-3402). Determine z, given that 4/7*z**4 + k*z**5 - 2/7*z**2 - 5/7*z + 4/7*z**3 - 2/7 = 0.
-2, -1, 1
Let k(w) = w**4 - w**3 + 2*w**2 + w. Let a(o) = -9*o**4 + 4*o**3 + 47*o**2 - 94*o + 40. Let z = -100 + 101. Let b(u) = z*a(u) + 4*k(u). Solve b(s) = 0 for s.
-4, 1, 2
Let j(b) = -70*b - 246*b - 4*b + 14040 + 5*b**2 - 89*b - 116*b. Let r(g) = -5*g**2 + 526*g - 14041. Let k(u) = 4*j(u) + 5*r(u). Let k(q) = 0. Calculate q.
53
Let h be 10/4*2688/160. Suppose -h*s + 212 = 44. Let 10/7*c + 2/7 - 16/7*c**s - 8/7*c**3 + 12/7*c**2 = 0. What is c?
-1/2, 1
Let j(n) = -160 - 223 + 30*n + 3*n**2 + 579. Let t(o) = -19*o**2 - 181*o - 1176. Let m(p) = 39*j(p) + 6*t(p). Factor m(x).
3*(x + 14)**2
Let a be 3/(-78)*1196/(-184). Suppose n + 16 = 6*n - 3*t, 0 = n - t - 4. Factor -1/8 - a*m - 1/8*m**n.
-(m + 1)**2/8
Suppose 3*k - 4 = 5. Factor -4*l**5 - 8*l**2 - 57*l**4 + 75*l**4 - 34*l**4 - 20*l**k.
-4*l**2*(l + 1)**2*(l + 2)
Let p(i) = 10 - 7*i - i + 10*i - 3*i. Let z be p(5). Factor 103 - 24*m**4 + m**5 - 57*m**3 - 30*m**2 - 103 + 2*m**z.
3*m**2*(m - 10)*(m + 1)**2
Let i(y) = -5*y**4 - y**3 + 44*y**2 + 97*y + 45. Let l(j) = 11*j**4 + 3*j**3 - 88*j**2 - 197*j - 89. Let b(m) = -14*i(m) - 6*l(m). Factor b(a).
4*(a - 6)*(a + 1)*(a + 2)**2
What is r in -16/5*r**2 - 6*r + 108/5 + 2/5*r**3 = 0?
-3, 2, 9
Let s be (-137)/3562*(-299 + -2 + 1). Let z = 1076/91 - s. Factor -2/7 + z*r**2 + 0*r.
2*(r - 1)*(r + 1)/7
Let b(t) = -4*t**4 - 2*t**3 + 7*t**2 + 8*t. Let o(f) = 27*f**3 - 1 - 1 - 28*f**2 - 20*f**3 + 9*f + 17*f**4 - 42*f. Let g(c) = -26*b(c) - 6*o(c). Factor g(n).
2*(n - 1)**2*(n + 1)*(n + 6)
Find n such that 3*n**3 - 4*n**3 + 34*n + 3*n**2 - 12 + 7*n - 37*n = 0.
-2, 2, 3
Let q = 1/537 - -5847/179. Let k = 1162/33 - q. Factor -10/11 - 4/11*g**3 + 2/11*g**4 - k*g - 24/11*g**2.
2*(g - 5)*(g + 1)**3/11
Let q(h) be the first derivative of -h**4/24 - 37*h**3/12 - 9*h**2 - 47*h - 188. Let d(t) be the first derivative of q(t). Factor d(x).
-(x + 1)*(x + 36)/2
Factor -3*a**2 + 4 - 46*a - 227*a**3 + 57*a**3 + 165*a**2 + 43*a**4 + 7*a**4.
2*(a - 2)*(a - 1)*(5*a - 1)**2
What is r in 676/9*r**4 - 14/9*r**5 + 0 + 0*r + 0*r**2 - 64/3*r**3 = 0?
0, 2/7, 48
Let z(p) = -2*p**2 - 20*p + 20. Let q be z(-10). Suppose 12 - q = -4*j. Factor 5*m + 7 - 5*m**2 - 4 - m**2 + 8*m**j.
(m + 1)*(2*m + 3)
Let z(b) be the third derivative of -b**6/420 + 13*b**5/15 - 1183*b**4/12 + 6*b**2 + 90*b. Solve z(m) = 0.
0, 91
Let i(a) = 10*a**4 - 19*a**3 + 8*a**2 - 20*a - 7. Let c(n) = 3*n**4 - 6*n**3 + 3*n**2 - 6*n - 2. Let r(t) = 7*c(t) - 2*i(t). Factor r(j).
j*(j - 2)*(j - 1)**2
Let x(g) = -5*g**2 - 13 - 5*g**2 - 20*g**3 + g + g + 21*g**3. Let a be x(10). Find m, given that 4*m**5 - m + 3*m**2 + 14*m**4 + 3*m + a*m**2 + 18*m**3 = 0.
-1, -1/2, 0
Let r = -3727 - -3733. Let d(x) be the second derivative of 0*x**3 - 5/18*x**4 + 1/12*x**5 + 2*x + 0 + 0*x**2 + 1/18*x**r. Let d(i) = 0. What is i?
-2, 0, 1
Factor -255*y**2 + 328*y - 30 + 63*y**3 + 62743*y**4 - 26 - 52 - 62745*y**4.
-(y - 27)*(y - 2)**2*(2*y - 1)
Let x = 5222879/1119189 - -1/373063. Determine c, given that -x*c + 2/9*c**3 - 490/9 + 2*c**2 = 0.
-7, 5
Let l(m) = -6*m**4 + 78*m**3 + 75*m**2 - 168*m - 98. Let u(n) = 5*n**4 - 78*n**3 - 75*n**2 + 166*n + 84. Let w(x) = 6*l(x) + 7*u(x). Factor w(f).
-f*(f - 1)*(f + 2)*(f + 77)
Suppose 0*f + 0 + 0*f**2 - 2/5*f**3 - 1/5*f**4 = 0. What is f?
-2, 0
Let h = -79 + 91. Suppose -7*x + 3*x = -h. Solve -4*q**x + 4*q**2 - 4/3*q + 0 + 4/3*q**4 = 0.
0, 1
Let d(r) = -10*r**2 - 20*r - 31. Let m(l) = -l**2 - l + 1. Let k(s) = 4*s**2 + 8*s + 9. Let u(w) = k(w) + m(w). Let h(q) = -6*d(q) - 21*u(q). Factor h(z).
-3*(z + 1)*(z + 8)
Let a(m) be the third derivative of -m**5/20 - 421*m**4/2 - 354482*m**3 - 2*m**2 - 2483*m. Factor a(j).
-3*(j + 842)**2
Let d be 1/(-14) + 14927/1610. Let s = 352/35 - d. Solve 0 - 2/7*x**3 + s*x**2 - 4/7*x = 0.
0, 1, 2
Suppose -16/15*j**4 + 116/15*j**2 + 2/15*j**5 - 2/3*j + 8/15*j**3 - 20/3 = 0. Calculate j.
-2, -1, 1, 5
Let d(a) be the first derivative of 1/12*a**3 + 203 + 9/8*a**2 - 9/4*a 