**3 + 0 - 1/3*f**4 - m*f**2 = 0. What is f?
-3, -2, 0, 1
Let x(p) be the second derivative of 0*p**3 + 0 + 1/90*p**5 - 9*p + 1/72*p**4 + 1/360*p**6 - 9*p**2. Let r(i) be the first derivative of x(i). Factor r(q).
q*(q + 1)**2/3
Let i(j) be the first derivative of -j**7/70 - j**6/20 - j**5/20 - 239*j**2/2 - 171. Let c(u) be the second derivative of i(u). Suppose c(b) = 0. Calculate b.
-1, 0
Let b be 67/85 + (-3)/15. Let j be ((-183)/(-1098))/((-34)/(-24)). What is w in -4/17*w**3 + j*w**2 + 4/17 + b*w = 0?
-1, -1/2, 2
Let a = -42 + 45. Find g such that -77*g - 40*g - a*g**2 + 27*g = 0.
-30, 0
Let d(z) = 2*z**3 + 2278*z**2 - 320346*z + 318078. Let p(r) = r**3 + 3*r**2 + r - 3. Let a(m) = d(m) - 6*p(m). Factor a(b).
-4*(b - 282)**2*(b - 1)
Suppose 0 = -37*g - 196 + 973. Suppose -k - 1 = -2*w, -5*k + 225*w - 228*w = -g. Factor -1/4*f**2 - 1/2*f**k + 1/2*f + 0 + 1/4*f**4.
f*(f - 2)*(f - 1)*(f + 1)/4
Let t(k) be the second derivative of 169*k**4/60 - 39*k**3 + 405*k**2/2 - 1602*k. Factor t(i).
(13*i - 45)**2/5
Suppose -z**3 - 93*z**2 + 120 + 6*z**3 + 223*z**2 + 75*z + 170*z = 0. What is z?
-24, -1
Let g be ((-1316)/(-705) - (-2)/(-10))/(30/9). Let -5*k + g*k**3 - 1/2*k**2 - 4 = 0. What is k?
-2, -1, 4
Suppose 21 = 5*j + u, -4*j + 462 - 442 = 4*u. Let k(d) be the third derivative of 1/30*d**5 + 0 + 4/3*d**3 + 0*d + 5/12*d**j - 20*d**2. Factor k(v).
2*(v + 1)*(v + 4)
Let i = 128 - 80. Suppose -i*x + 49*x - 3 = 0. What is n in -2*n**5 - 2*n**x + n**5 + 3*n**3 + 0*n**3 = 0?
-1, 0, 1
Let n(z) be the first derivative of 20/9*z - 8/27*z**3 - 112 + 7/9*z**2 - 1/18*z**4. Factor n(c).
-2*(c - 2)*(c + 1)*(c + 5)/9
Suppose 2534 = -1214*g + 7390. Determine s so that 6/5*s + 12/5*s**2 - g + 2/5*s**3 = 0.
-5, -2, 1
Factor 0*s**2 - 2*s**2 - 529283 + 2908*s - 527775.
-2*(s - 727)**2
Let j(r) be the first derivative of 11/3*r**3 - 2*r**2 - 1/2*r**4 + 108 - 5*r. Find o such that j(o) = 0.
-1/2, 1, 5
Suppose 3*u - 16 = -u. Suppose 0 = 5*o - 4*l - 10, 4*o - 10 = -4*l - 2. Find a, given that 7*a + 3*a**2 - 4*a - u*a**o = 0.
0, 3
Let v(q) be the second derivative of q**5/10 - 2*q**4 - 79*q**3/3 - 102*q**2 + 465*q. Factor v(w).
2*(w - 17)*(w + 2)*(w + 3)
Let f(j) be the third derivative of j**6/30 + 111*j**5/20 + 137*j**4/8 + 41*j**3/3 - 5*j**2 + 162. Solve f(z) = 0 for z.
-82, -1, -1/4
Let x(m) be the third derivative of m**6/180 + 2*m**5/15 + m**4/4 - 22*m**3/9 + 1734*m**2. Determine g, given that x(g) = 0.
-11, -2, 1
Let r(q) be the first derivative of -2*q**5/35 - 1436*q**4/7 - 2062096*q**3/7 - 1480584928*q**2/7 - 531529989152*q/7 + 318. Factor r(g).
-2*(g + 718)**4/7
Suppose -b = -5*f + 3, -3*b + 31 = 10*f - 5*f. Suppose b*j - 520 - 614 = 0. Factor -81*x - x**3 + x**2 + j*x - 79*x.
-x*(x - 2)*(x + 1)
Suppose -4*n + 15 = n. Let w(x) = 9*x**3 - 3*x**2 - 6*x. Let f(y) = -y**4 - 18*y**3 + 6*y**2 + 13*y. Let b(s) = n*f(s) + 5*w(s). Solve b(p) = 0.
-3, -1, 0, 1
Let x(a) be the third derivative of a**7/70 + a**6/10 - 11*a**5/20 + 3*a**4/4 + 8*a**2 + 65. Let x(i) = 0. What is i?
-6, 0, 1
Let q(p) be the third derivative of -p**6/120 + p**5/20 + p**4 - 17*p**3/2 - 20*p**2. Let a(o) be the first derivative of q(o). Suppose a(j) = 0. What is j?
-2, 4
Let w(o) be the second derivative of -o**9/6048 + o**8/560 - o**7/140 + o**6/90 + 43*o**3/6 + o + 24. Let d(l) be the second derivative of w(l). Factor d(j).
-j**2*(j - 2)**3/2
Let j(w) be the first derivative of 32/3*w**3 + 14*w**2 + w**4 + 0*w + 37. Determine r so that j(r) = 0.
-7, -1, 0
Let k(s) be the first derivative of -4*s**5/5 - 2*s**4 + 28*s**3/3 + 16*s**2 - 48*s - 2802. Find o, given that k(o) = 0.
-3, -2, 1, 2
Let q(t) = 6*t**2 - 41*t - 120. Let b(x) = -38 - 1888*x + 1874*x - 2 + 2*x**2. Let l(f) = -14*b(f) + 4*q(f). Determine k, given that l(k) = 0.
-2, 10
Let s(w) = -11*w**3 + 38*w**2 + 200*w + 205. Let j(r) = -47*r**3 + 150*r**2 + 800*r + 819. Let b(z) = 6*j(z) - 26*s(z). Solve b(u) = 0 for u.
-2, 26
Let t(m) be the third derivative of -27*m**8/28 + 57*m**7/35 + 101*m**6/12 + 32*m**5/5 + 5*m**4/3 + 35*m**2 + 15. Determine j, given that t(j) = 0.
-1, -2/9, 0, 5/2
Let t be (192/(-24))/(-4 + 1 + 1). Let b be ((t + 26)/5)/17. Factor -4/17 + 2/17*g**3 - b*g + 0*g**2.
2*(g - 2)*(g + 1)**2/17
Let i = -144 - -146. Factor -12*d**2 - 11*d**3 + i*d**3 - 50 + 4*d**3 + 6*d**3 + 45*d.
(d - 5)**2*(d - 2)
Factor -201/4*d + 207/4*d**2 - 3/2.
3*(d - 1)*(69*d + 2)/4
Let d(y) = 61*y**3 - 2*y**2 - 5*y - 6. Let z be d(-2). Let c = z + 2466/5. Factor -3/5*s - 6/5*s**4 + 0*s**3 + 0 + 3/5*s**5 + c*s**2.
3*s*(s - 1)**3*(s + 1)/5
Suppose 2*w = y - 82, 4*w - 3*w + 81 = y. Let d = y - 74. Factor -6*j**4 + 6*j**3 + 3*j**5 + 8*j**3 - 17*j**3 + d*j**3.
3*j**3*(j - 1)**2
Find g, given that 109262*g - 402 - 2*g**2 - 109358*g + 50 = 0.
-44, -4
Suppose -3*b - 2*v = -5, -2*b - v = v. Find t, given that 5*t**4 - b*t**2 - 24*t + 44*t - 22*t + 2*t**5 = 0.
-2, -1, -1/2, 0, 1
Let c = 69495 - 486464/7. Determine r, given that -5/7*r + 4/7*r**2 - c*r**3 + 2/7 = 0.
1, 2
Let c(u) be the first derivative of 4*u**5/5 + 6*u**4 - 4*u**3/3 - 12*u**2 - 5535. Factor c(t).
4*t*(t - 1)*(t + 1)*(t + 6)
Let r(y) be the third derivative of y**8/112 - y**7/30 - y**6/60 + 2*y**5/15 - 1341*y**2. Factor r(q).
q**2*(q - 2)*(q + 1)*(3*q - 4)
What is x in -551*x**3 - 7925*x + 201*x**2 + 4500 + 3679*x**2 - 194*x**3 + 102165*x**4 - 102115*x**4 = 0?
9/10, 4, 5
Find c such that 18*c**2 + 1663 + 170*c - 7*c**2 - 8*c**2 - 5*c**2 - 571 = 0.
-6, 91
Let m(j) = -72*j**2 - 7670*j. Let v(f) = -50*f**2 - 5113*f. Let w(n) = 7*m(n) - 10*v(n). What is b in w(b) = 0?
-640, 0
Let w(p) be the second derivative of 0 + 180*p - 99/2*p**3 - 27/4*p**4 - 3/20*p**5 + 1/30*p**6 - 162*p**2. Factor w(z).
(z - 12)*(z + 3)**3
Let k(y) be the third derivative of y**9/5040 - y**7/840 + y**4/6 - 13*y**2. Let b(x) be the second derivative of k(x). Factor b(i).
3*i**2*(i - 1)*(i + 1)
Let h(m) = -6*m**3 + 2538*m**2 + 5091*m + 2550. Let r(f) = -11*f**3 + 5078*f**2 + 10184*f + 5100. Let k(j) = -5*h(j) + 3*r(j). Factor k(i).
-3*(i - 850)*(i + 1)**2
Let a be (-5845)/975 + 2 + 4. Let p(g) be the third derivative of 2/39*g**3 + 20*g**2 + 0 - 1/156*g**4 + 0*g - a*g**5 + 1/780*g**6. Factor p(b).
2*(b - 2)*(b - 1)*(b + 1)/13
Factor -10*w**3 - 1585*w**2 + 3175*w**3 + 682*w**2 + 5*w**5 - 1590*w**4 - 677*w**2.
5*w**2*(w - 316)*(w - 1)**2
Suppose 105*r - 8 = 103*r. Determine k so that -1530*k**3 - 820*k**r + 238*k - 471*k**2 - 47*k**4 - 58*k - 12 = 0.
-1, 2/17
Factor -36/5*w**2 - 12/5*w**5 - 44/5*w**4 - 8/5*w - 12*w**3 + 0.
-4*w*(w + 1)**3*(3*w + 2)/5
Let k(w) be the third derivative of -15*w + 0 - 9/20*w**5 + 4*w**2 - 1/40*w**6 - 7/4*w**4 + 0*w**3. Factor k(f).
-3*f*(f + 2)*(f + 7)
Let z(l) be the third derivative of l**8/1848 + l**7/1155 - 17*l**6/660 - 53*l**5/330 - 14*l**4/33 - 20*l**3/33 + 149*l**2 - 2*l. Solve z(p) = 0 for p.
-2, -1, 5
Solve -1 + 1/6*r**2 + 5/6*r = 0.
-6, 1
Find h, given that -1/3*h**5 - 4 - 2/3*h**4 - 11/3*h + 14/3*h**2 + 4*h**3 = 0.
-4, -1, 1, 3
Let r = 99 - 207. Let c = 113 + r. Solve -6*l**4 + 2*l**c - 7*l**4 + 3*l**4 + 0*l**4 = 0 for l.
0, 5
Let o = 45 + -37. Suppose 0 = o*b - 16 - 8. Factor -532*u**2 + 23*u + 4*u - 6 + 502*u**2 + 9*u**b.
3*(u - 2)*(u - 1)*(3*u - 1)
Let b = 0 - -21. Suppose -c - 13 = -b. Solve 2*f + f + c - 4*f**2 + f = 0 for f.
-1, 2
Let v(y) be the first derivative of 162*y + 1/6*y**3 - 9*y**2 - 71. Factor v(i).
(i - 18)**2/2
Let h(p) = 15*p**2 + 265*p + 1070. Let g(k) = -22*k**2 - 395*k - 1606. Let d(q) = -5*g(q) - 7*h(q). Solve d(m) = 0.
-18, -6
Suppose 12*x + 290 = 22*x. Determine m, given that 45 - x*m + 57*m - 58*m + 5*m**2 = 0.
3
Determine q so that 3*q**2 - 3*q**2 - q**3 - 32*q - 9*q**2 + 3*q**2 + 48*q = 0.
-8, 0, 2
Factor -36*r + 0*r**2 + 96 + 3/4*r**3.
3*(r - 4)**2*(r + 8)/4
What is j in 44402/3*j + 6615898/9 + 2/9*j**3 + 298/3*j**2 = 0?
-149
Let j = 739 + -751. Let g(d) = 24*d + 290. Let n be g(j). Determine w so that -3 - 2*w - 1/3*w**n = 0.
-3
Let w(x) be the first derivative of x**3/15 + 23*x**2/10 + 24*x - 2017. Let w(s) = 0. What is s?
-15, -8
Let v(j) be the third derivative of -j**7/840 - 7*j**6/180 - 19*j**5/40 - 3*j**4 + 109*j**3/6 + 104*j**2. Let f(d) be the first derivative of v(d). Factor f(h).
-(h + 3)**2*(h + 8)
Let o(r) be the first derivative of 70 + 1/3