l) = 6*l**2 - 5*l - 3. Let d(j) = 7*j**2 - 5*j - 4. Let m(r) = -5*d(r) + 6*i(r). Let t be m(5). Factor -1/5*o**3 + 2/5*o**t - 1/5*o + 0.
-o*(o - 1)**2/5
Let o(k) = -k**3 - 10*k**2 - 9*k + 2. Let m be o(-9). Suppose 0*t = 4*t - 16, -t - m = -3*q. Solve 3*x**4 + q*x**2 + x**4 + 4*x**4 - 8*x**3 = 0 for x.
0, 1/2
Suppose 376*j = 375*j + p + 7, 6 = -2*j - 3*p. Let -2/7*x + 36/7*x**2 - 12/7 + 4/7*x**4 + 30/7*x**j = 0. Calculate x.
-6, -1, 1/2
Let k(q) be the third derivative of 16*q**5/5 - 2*q**4/3 + q**3/18 - 52*q**2. Let k(g) = 0. What is g?
1/24
Suppose -2*l + 4*l = -2, 3*r - 5*l - 11 = 0. Factor y**r - 1 - 3 - 1 + 1.
(y - 2)*(y + 2)
Suppose 11 = 2*j + 5. Let n = -6223/15 + 415. Factor 2/15*y**j + n*y - 4/15*y**2 + 0.
2*y*(y - 1)**2/15
Suppose -4*x - 6 = -k, -4*k + x - 12 = 3*x. Let u be ((-1)/k)/(1/2 + 2). Factor -1/5*s + 2/5*s**2 + 0 - u*s**3.
-s*(s - 1)**2/5
Let k = -502 - -11045/22. Let r(c) be the second derivative of 0 - 2*c - 1/110*c**5 + k*c**4 + 1/33*c**3 - 3/11*c**2. Determine t so that r(t) = 0.
-1, 1, 3
Find q such that 10*q**2 - 18*q**2 + 120 - 45*q + 84*q + 11*q**2 = 0.
-8, -5
Let n(u) = -20*u + 11*u + 19 + 8*u. Let s be n(14). Suppose 0*v - 2/9*v**s + 2/9*v**3 + 0 - 4/9*v**2 + 4/9*v**4 = 0. Calculate v.
-1, 0, 1, 2
Factor 48/7 - 3*t**2 + 3/7*t**3 + 24/7*t.
3*(t - 4)**2*(t + 1)/7
Let y(k) = -k**2 + 5*k - 1. Let r be y(3). Factor 13*c**2 + r*c + 4*c**3 + 3*c - c**2.
4*c*(c + 1)*(c + 2)
Suppose 0 = 2*t + 5*c - 15, 5*c = 5 - 0. Suppose t*n = -3*f + 13 + 16, 16 = n + 4*f. Suppose -n*h**5 + 4*h**3 - 2*h + 2*h = 0. Calculate h.
-1, 0, 1
Suppose 0 = 14*a - 52 + 52. Let f(q) be the third derivative of 0*q + 0*q**3 + a + 0*q**5 - 6*q**2 + 1/132*q**4 - 1/660*q**6. What is i in f(i) = 0?
-1, 0, 1
Let c(k) = 73*k**4 + 118*k**3 - 55*k**2 + 6*k. Let x(u) = 72*u**4 + 117*u**3 - 54*u**2 + 6*u. Let y = -9 + 7. Let f(l) = y*x(l) + 3*c(l). Factor f(v).
3*v*(v + 2)*(5*v - 1)**2
Let b(w) = -8*w**3 - 44*w**2 + 37*w + 32. Let l(j) = -2*j**3 - 11*j**2 + 9*j + 8. Let f(h) = -2*b(h) + 9*l(h). Let x be f(-6). Factor -4/7*q + 2/7*q**x + 2/7.
2*(q - 1)**2/7
Let m(l) be the second derivative of -l**8/20160 + l**7/1890 - l**6/540 + 2*l**4/3 - 16*l. Let x(t) be the third derivative of m(t). Factor x(s).
-s*(s - 2)**2/3
Let k(j) = 2*j**2 - 28*j + 10. Let h be k(14). Let 79*z**3 - h*z**4 - 8 + 4*z - 6*z**5 + 13*z**5 + 58*z**2 + 50*z**4 = 0. What is z?
-2, -1, 2/7
Let o(c) be the second derivative of -c**7/462 + c**6/165 + 3*c**5/55 - 19*c**4/66 + 37*c**3/66 - 6*c**2/11 + 56*c. Factor o(r).
-(r - 3)*(r - 1)**3*(r + 4)/11
Let a be ((-1)/(-3))/((-5)/((-450)/(-6))). Let y be (2 - a/(-2))/(42/(-48)). Find l, given that 0 - 2/7*l + y*l**2 - 2/7*l**3 = 0.
0, 1
Let t(k) be the first derivative of -k**3/6 - 11*k**2/12 + 2*k/3 + 138. What is j in t(j) = 0?
-4, 1/3
Suppose -664 - 150 = -2*p. Let t be p/370 - 4/(-10). Factor -3/2*r**3 - t + 3/2*r + 3/2*r**2.
-3*(r - 1)**2*(r + 1)/2
Let m = -15 - -18. Solve 95*r**3 + 77*r**3 - 117*r**2 + 60*r - 12 + 9*r**5 - 61*r**m - 51*r**4 = 0.
2/3, 1, 2
Let k(u) be the third derivative of 1/24*u**4 - 3*u**2 - 7/80*u**6 + 1/40*u**5 + 0 + 0*u - 3/224*u**8 + 5/84*u**7 + 0*u**3. Let k(h) = 0. Calculate h.
-2/9, 0, 1
Suppose -5*q + 2*c + 20 = 0, -2*q + 7 = c - 10. Factor 10*i**3 - 4*i + 3*i**2 - q*i**3 - 8*i**3 + 5*i**2.
-4*i*(i - 1)**2
Let g be -2 + 1 + 6 - 2. Let k be 2/6 + (-5)/(-3). Find s such that -6*s**k + g - 3*s**2 + 8*s**2 - 2*s = 0.
-3, 1
Let r be (1 - 0)/((-2)/(-4)). Factor 325*j**3 + 2*j - 6 - 327*j**3 + 3*j**2 + 3*j**r.
-2*(j - 3)*(j - 1)*(j + 1)
Let x = 1 - 1. Suppose x*y + 3*y - 18 = 0. Factor -d**4 - 5*d**4 - d**5 + d**2 - d - 5*d**2 + 2*d**4 - y*d**3.
-d*(d + 1)**4
Let c(l) be the second derivative of l**8/11200 - l**7/4200 - l**6/240 - 3*l**5/200 - 2*l**4/3 - 14*l. Let a(w) be the third derivative of c(w). Factor a(u).
3*(u - 3)*(u + 1)**2/5
Let m(q) = -q**2 + 19*q - 14. Let a be m(18). Factor -7*d**4 + 3*d**4 + a*d**2 - 2*d**3 - 9*d**5 + 11*d**5.
2*d**2*(d - 2)*(d - 1)*(d + 1)
Suppose 0 = -w + 28 - 313. Let q = 287 + w. Let 0 - 4*p**q - 4/3*p**3 - 8/3*p = 0. What is p?
-2, -1, 0
Let -7/2 - 3/2*v**2 + 11*v = 0. What is v?
1/3, 7
Let f(x) be the second derivative of 1/10*x**4 + 3/50*x**5 + 0*x**2 - 24*x + 1/75*x**6 + 1/15*x**3 + 0. Factor f(u).
2*u*(u + 1)**3/5
Let s = -823 - -828. Let y(d) be the first derivative of -7 + 1/6*d - 1/9*d**3 + 0*d**2 + 1/30*d**s + 0*d**4. Solve y(n) = 0 for n.
-1, 1
Let k(a) be the first derivative of -a**4/90 + 4*a**2/15 - 8*a + 29. Let x(h) be the first derivative of k(h). Factor x(y).
-2*(y - 2)*(y + 2)/15
Let b(x) be the first derivative of -45/2*x - 39 + 25/2*x**2 - 5/6*x**3. Suppose b(a) = 0. What is a?
1, 9
Suppose -2*u = -u - 47. Suppose -3*v - v**2 + 47 - u = 0. Calculate v.
-3, 0
Let u = 178 + -184. Let i be (-32)/u - 24/6. Factor 0*y**2 - i*y**3 + 4/3*y - 2/3*y**4 + 2/3.
-2*(y - 1)*(y + 1)**3/3
Let r(k) be the third derivative of 1/84*k**8 + 8/15*k**5 + 0*k**4 + 0 + 0*k**3 + 0*k + 2/5*k**6 + 4/35*k**7 - 3*k**2. Solve r(q) = 0 for q.
-2, 0
Let p be -5*(-13)/(-260)*(-7)/(105/24). Solve -4/5 + 2/5*y**2 + p*y = 0.
-2, 1
Let q = -33 - -39. Let t(x) = -2*x**3 - 2*x**2 - 10*x + 2. Let w(z) = 4*z**3 + 3*z**2 + 20*z - 5. Let p(a) = q*w(a) + 13*t(a). Factor p(y).
-2*(y + 1)**2*(y + 2)
Suppose -2*i = 3*m + 7, 0 = -3*i + 4*m - 15 - 4. Let q = 8 + i. Factor 2*a - 3*a**2 + q*a**3 - 2*a.
3*a**2*(a - 1)
Determine d so that 62 + 55 + 27*d + 9*d**2 - 3*d**2 - 171 = 0.
-6, 3/2
Let p = -1 - -9/8. Let j = 21/40 - p. Factor -j*t - 2/5*t**4 - 6/5*t**2 - 6/5*t**3 + 0.
-2*t*(t + 1)**3/5
Suppose y + 192 = 3*y. Find m such that 149 - 16*m**2 + 108*m**5 + y*m**3 - 149 - 180*m**4 = 0.
0, 1/3, 2/3
Let x = -9 - -24. Suppose -8 + 324*j**2 - 12 + x*j - 319*j**2 = 0. Calculate j.
-4, 1
Let v(t) = -5*t**4 + 40*t**3 + 195*t**2 + 205*t + 75. Let o(l) = 3*l**4 - 20*l**3 - 96*l**2 - 102*l - 37. Let m(q) = 5*o(q) + 2*v(q). Factor m(u).
5*(u - 7)*(u + 1)**3
Let f = 4281 - 4281. What is c in 20/3*c**2 + 0*c + 8*c**3 + 4/3*c**4 + f = 0?
-5, -1, 0
Let g = -3953/105 + 264/7. Let d(w) be the third derivative of -g*w**5 + 0 + 1/3*w**3 - 4*w**2 + 0*w**6 + 0*w**4 + 1/105*w**7 + 0*w. Let d(r) = 0. Calculate r.
-1, 1
Suppose 24*t = 15*t. Suppose 8 = 4*d - 3*c, t = -d - 5*c - 0 + 2. Factor -3/4*r + 3/4*r**d + 0.
3*r*(r - 1)/4
Let r(t) = 6*t**2 - 40*t - 14. Suppose -2*u - x - 1 = 0, -u - 2*u + 3*x = 24. Let z(l) = -l**2 + 8*l + 3. Let p(h) = u*r(h) - 16*z(h). Factor p(j).
-2*(j + 1)*(j + 3)
Let f be ((6/7)/(1/(-7)))/(-2). Suppose 0 = -i + 3*g - 10, 12 = -2*i + g + f*g. Factor 0 - 2/3*c + 2/3*c**i.
2*c*(c - 1)/3
Let z(c) be the third derivative of -c**5/180 + 5*c**4/36 - 4*c**3/3 + 250*c**2. Factor z(d).
-(d - 6)*(d - 4)/3
Let l(v) be the second derivative of 63/20*v**5 + 0*v**2 + 2*v**6 + 0 + 2*v**3 - 25/14*v**7 - 5*v**4 - 9*v. Suppose l(g) = 0. What is g?
-1, 0, 2/5, 1
Let m = -5231/2 - -2561. Let n = -54 - m. Factor 0*s + 2*s**4 + s**2 + n*s**5 + 0 + 5/2*s**3.
s**2*(s + 1)**2*(s + 2)/2
Let a(r) be the first derivative of -r**7/2100 + r**6/600 - r**5/600 - 7*r**3/3 + 3*r**2/2 + 25. Let y(z) be the third derivative of a(z). Factor y(h).
-h*(h - 1)*(2*h - 1)/5
Let i(d) = -d**2 + 40*d - 336. Let o be i(28). Let y be 2/(-10)*(-1 - 0). Determine u so that -y*u**3 + o*u + 0 - 2/5*u**2 = 0.
-2, 0
Factor -1/4*q**4 - 2*q**3 - 3/2*q**2 + 2*q + 7/4.
-(q - 1)*(q + 1)**2*(q + 7)/4
Suppose 0 = 3*j - 5*l - 17 - 19, 0 = 5*j + 3*l - 26. Let t(i) be the second derivative of 7/12*i**4 + j*i - 9/20*i**5 + 0 + 0*i**2 + 1/3*i**3. Factor t(v).
-v*(v - 1)*(9*v + 2)
Let q(z) be the first derivative of z**3 + 0*z + 1/5*z**5 - 3/4*z**4 + 14 - 1/2*z**2. Factor q(c).
c*(c - 1)**3
Let y(s) be the third derivative of 0*s + 0 - 1/2*s**4 + 3*s**3 + 1/30*s**5 - 12*s**2. Determine h so that y(h) = 0.
3
Suppose -144 - 60 = -63*f - 15. Solve -2/7*w**2 + 2/7*w**f + 0 - 4/7*w = 0 for w.
-1, 0, 2
Suppose s = -38 + 40. Let f be (3 + s + -10)*(-2)/55. Factor -f*w**3 + 4/11*w**2 + 0 - 2/11*w.
-2*w*(w - 1)**2/11
Let v be (-8)/44 - 1/((-22)/114). Suppose -v*w - 2*w = -2*w. Factor -1/6*o**5 - 1/6*o**3 - 1/3*o**4 + 0 + w*o**2 + 0*o.
-o**3*(o + 1)**2/6
What is q in 51*q**2 - 22*q**2 - 28*q**3 - 9*q - 16 + 47*q**2 - 23*q = 0?
-2/7, 1, 2
Let r be (-2)/(-18) + (-175548)/(-171612). Le