9*q**2 = 0. What is q?
-3, -1
Suppose 8*y - 2*y = 12. Suppose y*q - 6*j + 5*j = 6, 19 = 3*q + j. Determine o so that 15*o**3 + q*o**2 + 7*o + 3 + 11*o**3 - 25*o**3 = 0.
-3, -1
Let u(m) be the third derivative of -10/27*m**3 + 4/135*m**5 + 34 - 1/45*m**6 + 2/945*m**7 + 0*m - m**2 + 1/9*m**4. Factor u(y).
4*(y - 5)*(y - 1)**2*(y + 1)/9
Find r such that -7948/9*r + 7896338/9 + 2/9*r**2 = 0.
1987
Suppose -3*y - 5*h = 17, -3 + 1 = -h. Let i be -4 + (3/y)/((-26)/324). Factor 0 - 4/13*x**2 + i*x**3 + 0*x.
2*x**2*(x - 2)/13
Suppose -1/4*a**4 - 91*a - 141/4*a**2 - 49 + 13/2*a**3 = 0. Calculate a.
-1, 14
Factor -75/2*h**4 - 8/3 + 295*h**3 - 236/3*h - 3361/6*h**2.
-(h - 4)**2*(15*h + 1)**2/6
Let k(j) = 2*j**2 + 30*j - 60. Let f be k(2). Let r(x) be the third derivative of 0 - 2/21*x**3 + 0*x + 1/210*x**5 + 1/84*x**4 - f*x**2. Factor r(y).
2*(y - 1)*(y + 2)/7
Let l(a) be the third derivative of -a**7/42 - 109*a**6/120 - 61*a**5/20 - 59*a**4/24 + 10*a**3/3 + 2323*a**2 - 1. Suppose l(h) = 0. Calculate h.
-20, -1, 1/5
Suppose 3*m + 161 = l - 108, -4*l + 1046 = -2*m. Suppose 266*t**2 - 112 - l*t - 251*t**2 - 68 = 0. What is t?
-2/3, 18
Let u(p) be the third derivative of -p**6/180 - 61*p**5/90 - 1079*p**4/36 - 5915*p**3/9 + 3*p**2 + 158. Factor u(r).
-2*(r + 13)**2*(r + 35)/3
Let c(w) be the third derivative of -w**5/140 - 663*w**4/28 - 439569*w**3/14 + 185*w**2. Find o such that c(o) = 0.
-663
Suppose -h - 127 = -391. Let o = h - 264. Find y such that o - 2/13*y**3 + 4/13*y**2 - 2/13*y = 0.
0, 1
Let w be 8 + -2 - (-2 + 2). Suppose -w*v + 36 = 6*v. Factor 2*f**v - 22/5*f + 24/5*f**2 - 12/5.
2*(f - 1)*(f + 3)*(5*f + 2)/5
Let x(h) be the third derivative of -h**5/420 - 29*h**4/42 + 39*h**3/14 + 3*h**2 + 9*h - 28. Factor x(g).
-(g - 1)*(g + 117)/7
Suppose 23*i = 69*i - 167*i. Factor 4/3*q**2 + i*q + 0 + 2*q**3 + 2/3*q**4.
2*q**2*(q + 1)*(q + 2)/3
Let k(n) = 5*n. Let w be (-21)/4 + (-1)/(-4). Let r(t) be the first derivative of t**3/3 - 3*t**2 - t - 521. Let o(j) = w*r(j) - 6*k(j). Factor o(u).
-5*(u - 1)*(u + 1)
Determine b so that -114*b**2 - 3/2*b**3 + 0 - 225/2*b = 0.
-75, -1, 0
Let a(o) be the second derivative of -o**4/36 - 475*o**3/9 + 2615*o - 3. Determine w so that a(w) = 0.
-950, 0
Let w = -57098 - -286713/5. Let k = w - 244. Factor -6/5*p - k*p**2 + 0.
-3*p*(p + 2)/5
Let j(p) = -5*p**3 + 17*p**2 - 18*p + 4. Suppose 19 = -10*u - 21. Let o(x) = x**3 - 2*x**2 + x - 1. Let a(d) = u*o(d) - j(d). Solve a(g) = 0 for g.
0, 2, 7
Factor 4/5*p**3 - 4/5*p - 88 + 88*p**2.
4*(p - 1)*(p + 1)*(p + 110)/5
Let d = 245728988/195 + -1260146. Let l = -10/39 + d. Determine r so that 2*r - 2/5*r**2 - l = 0.
2, 3
Factor 324/5 - 2/5*r**4 - 6/5*r**3 + 54*r + 54/5*r**2.
-2*(r - 6)*(r + 3)**3/5
Let m be 15/(-3) - (1 + 18/(-2)). Suppose 4*v = -20, m*r + v = -r + 7. Solve -2/3*o + o**2 - 1/3*o**r + 0 = 0 for o.
0, 1, 2
Let w = -5103 + 5106. Let n(k) be the second derivative of -28/3*k**w + 4*k**2 + 0 + 13*k + 49/6*k**4. Solve n(g) = 0 for g.
2/7
Let l(w) = 1031*w - 270119. Let a be l(262). Suppose 12*x**2 - 3/7*x**5 + 36/7*x + 0 + 57/7*x**a + 6/7*x**4 = 0. What is x?
-2, -1, 0, 6
Let f(a) = 2*a**3 + 1449*a**2 - 190*a + 5. Let z(l) = l**3 + 1449*l**2 - 152*l + 4. Let h(u) = 4*f(u) - 5*z(u). Determine w, given that h(w) = 0.
0, 483
Let n(c) = 6121*c - 42843. Let w be n(7). Factor 4/5*f**2 + 8/5*f**3 - 2/5*f**w - 18/5 - 24/5*f.
-2*(f - 3)**2*(f + 1)**2/5
Let d(k) be the first derivative of -2*k**3/15 + 896*k**2/5 - 995. Factor d(z).
-2*z*(z - 896)/5
Suppose h + 21 = 4*p, -3647*p + 3645*p = h - 3. Factor 0 - 3/2*g**2 + 3*g + 3/2*g**p - 3*g**3.
3*g*(g - 2)*(g - 1)*(g + 1)/2
Suppose 6*h = -2 + 20. Suppose 3*j = h + 3. Factor -2*i + 6*i**5 - j*i**5 - 4*i**3 + 2*i.
4*i**3*(i - 1)*(i + 1)
Let t(p) be the second derivative of p**6/1440 - p**5/60 + p**4/8 - 43*p**3/3 - 52*p. Let r(a) be the second derivative of t(a). Factor r(l).
(l - 6)*(l - 2)/4
Suppose -s = 3*a - 4*s - 21, 4*a + 3*s = -7. Let d be 3*-6*(-1)/11. Factor -84/11*x + 98/11*x**a + d.
2*(7*x - 3)**2/11
Let f(r) be the second derivative of 3/20*r**5 - 59*r - 6*r**2 + 4*r**3 - 5/4*r**4 + 0. Factor f(a).
3*(a - 2)**2*(a - 1)
Suppose -14*d + 80 = 2*d. Let u be 92/14 + d + -11. Factor 18/7*w + u + 8/7*w**2.
2*(w + 2)*(4*w + 1)/7
Let c(r) be the third derivative of r**7/840 + 13*r**6/240 - 29*r**5/80 + r**4/24 + 29*r**3/6 - 12*r**2 + 25. Factor c(n).
(n - 2)**2*(n + 1)*(n + 29)/4
Let q(g) = 2*g**2 - 7*g + 13. Let u(b) = b**2 - 7*b + 12. Let f(o) = 4*q(o) - 6*u(o). Let c be f(-9). Factor 2*s + 6*s**3 + c - 48*s + 20*s**2 + 4.
2*(s - 1)*(s + 5)*(3*s - 2)
Suppose -2/13*b**4 + 786/13*b**2 + 82/13*b - 784/13 - 82/13*b**3 = 0. What is b?
-49, -1, 1, 8
Let z(d) be the second derivative of d**7/840 - 7*d**6/120 + 13*d**5/40 - d**4/12 + 62*d**3/3 - 9*d - 2. Let m(j) be the third derivative of z(j). Factor m(f).
3*(f - 13)*(f - 1)
Let g(k) = 2*k - 6. Let q be g(4). Suppose -16*n + 30 + 18 = 0. What is s in s - s - n - 3*s**q - 6*s = 0?
-1
Let g(t) = 8*t**2 - 74*t + 566. Let l(r) = -23*r**2 + 221*r - 1700. Let y be (9 - 21)/(2 - 0). Let d(n) = y*l(n) - 17*g(n). Factor d(b).
2*(b - 17)**2
Let q = 39 + -11. Let s be (20/35)/(8/q). Factor -12/5*r**s - 8/5 - 2/5*r**3 - 18/5*r.
-2*(r + 1)**2*(r + 4)/5
Suppose -1089 - 13134 = -738*i + 13926 - 8223. What is f in -i*f + 3/4*f**2 - 57 = 0?
-2, 38
Factor 206 + 42 - 57386*m**3 + 57390*m**3 + 112*m**2 - 364*m.
4*(m - 2)*(m - 1)*(m + 31)
Suppose 0 = 174*h + 379*h - 2212. Let i(u) be the third derivative of -1/15*u**5 + 7/6*u**h + 0*u + 0 + 29*u**2 - 4*u**3. Factor i(r).
-4*(r - 6)*(r - 1)
Let w(h) be the first derivative of h**3/3 - 189*h**2/2 + 188*h - 390. Factor w(c).
(c - 188)*(c - 1)
Let o(g) be the first derivative of 8*g**2 + 2*g + 8 + 10/3*g**3 + 1/3*g**4. Let x(i) be the first derivative of o(i). What is k in x(k) = 0?
-4, -1
Let n(b) be the third derivative of -b**8/12 + 472*b**7/105 - 1184*b**6/15 + 2078*b**5/5 - 915*b**4/2 - 900*b**3 - 2258*b**2. Suppose n(y) = 0. Calculate y.
-2/7, 1, 3, 15
Let z(r) be the first derivative of -5*r**4/4 + 1130*r**3/3 + 2290*r**2 + 4600*r + 670. Factor z(i).
-5*(i - 230)*(i + 2)**2
Determine t, given that 1/2*t**2 + 832050 + 1290*t = 0.
-1290
Let o(b) = -b**3 - 23*b**2 + b - 2. Let g(k) = 5*k**3 + 1816*k**2 - 3551*k + 1780. Let y(r) = g(r) + 2*o(r). Factor y(n).
3*(n - 1)**2*(n + 592)
Find r, given that -256/11 + 24/11*r**4 - 2/11*r**5 + 134/11*r**3 - 432/11*r - 68/11*r**2 = 0.
-4, -1, 2, 16
Suppose 983 - 971 = -2*j. Let r(b) = 5*b**2 - 13*b - 24. Let t(m) = 14*m**2 - 42*m - 73. Let f(z) = j*t(z) + 17*r(z). Solve f(g) = 0 for g.
-30, -1
Let s = 5059/6 + -843. Let h(u) be the first derivative of 16/3*u + 4/3*u**3 - 4*u**2 + 10 - s*u**4. Factor h(y).
-2*(y - 2)**3/3
Let x be 61*1 + (-8)/(-4). Let z(j) = -90*j + 723. Let u be z(8). Factor 19*w**2 - x*w - 3*w**2 + 79*w + 4*w**u.
4*w*(w + 2)**2
Factor 137*r**2 - 340*r**4 + 33*r**2 + 335*r**4 - 165*r**3.
-5*r**2*(r - 1)*(r + 34)
Let g be (-4708)/(-20) + (-6)/(-10). Let x = 126 + -100. Solve g*f**2 + x*f + 380*f**3 - 65*f**3 + 54*f**5 + 81*f**3 + 6 + 270*f**4 + 36*f = 0 for f.
-3, -1, -1/3
Let p = -425363/12 - -106343/3. Let -300 - 18*i**2 + 12*i**3 - p*i**4 - 240*i = 0. Calculate i.
-2, 10
Let o(b) = 6*b**5 + b**3 - 1. Let w(z) = 32*z**5 - 172*z**4 + 18*z**3 + 524*z**2 + 344*z - 6. Let g(n) = -6*o(n) + w(n). Suppose g(y) = 0. Calculate y.
-43, -1, 0, 2
Factor -201*t - 520 - 51*t - 12*t**2 + 16*t**2.
4*(t - 65)*(t + 2)
Let h(j) = -j**3 + 68*j**2 - 1130*j + 280. Let n be h(28). Factor 0*f - 1/2*f**2 + 1/2*f**3 + 1/2*f**4 + n - 1/2*f**5.
-f**2*(f - 1)**2*(f + 1)/2
Let s(i) be the third derivative of 11/20*i**5 + 3*i - 5/8*i**4 + 1/70*i**7 - 7/40*i**6 + 0 - 12*i**2 + 0*i**3. Factor s(u).
3*u*(u - 5)*(u - 1)**2
Let v(j) be the first derivative of -j**3/3 + j**2/2 + j + 1. Let c(b) = -b**2 - b + 1. Let m be ((-292)/(-438))/(4/6). Let o(l) = m*c(l) + v(l). Factor o(d).
-2*(d - 1)*(d + 1)
Let j(y) be the first derivative of y**6/15 - 16*y**5/25 - 107*y**4/10 - 212*y**3/5 - 288*y**2/5 + 1078. Find k such that j(k) = 0.
-3, -2, 0, 16
Let d(u) be the second derivative of u**5/80 + 13*u**4/48 - 5*u**3/4 + u - 771. Solve d(r) = 0.
-15, 0, 2
Let x(f) be the first derivative of f**8/84 - f**6/10 - 2*f**5/15 + 3*f**2/2 + 53. Let c(