1*s + 810 = 0. Factor 24*i + 7*i**2 - 63 + 7*i**2 - s*i**2 + 25 - 101*i - i**3.
-(i + 1)**2*(i + 38)
Let l(r) be the third derivative of -52*r**2 + 0 + 0*r**3 + 13/300*r**6 - 3/20*r**4 + 0*r + 4/525*r**7 + 0*r**5. Solve l(u) = 0 for u.
-3, -1, 0, 3/4
Let y(p) = 26*p**4 - 42*p**3 - 1888*p**2 - 3744*p - 1770. Let i(z) = z**4 + z**3 + 2*z**2 - 4*z + 1. Let n(j) = -22*i(j) + y(j). Solve n(r) = 0 for r.
-14, -1, 32
Suppose -29*k + 12 = -25*k. Suppose i - z = 14, 3*i = -3*z + 67 - 7. Let 0*y**3 + 15 + 4*y**3 + 25*y**2 + i*y + y**k + 18*y = 0. What is y?
-3, -1
Suppose -2066 - 1116 = -1903*s + 624. Factor 1/6*a**s + 10/3*a - 7/2.
(a - 1)*(a + 21)/6
Let g(u) be the second derivative of -u**4/72 + 191*u**3/36 - 888*u. Factor g(l).
-l*(l - 191)/6
Let m be ((-2618)/63*3)/((-2)/(-3)). Let y = m + 1691/9. Suppose -y*d**2 + 0 - 2/3*d - 2/9*d**3 = 0. Calculate d.
-3, -1, 0
Let g(t) be the first derivative of 5*t**4/4 + 395*t**3/3 - 200*t**2 + 545. Factor g(h).
5*h*(h - 1)*(h + 80)
Let u = -1600877 + 17609659/11. Factor 122/11*b - 42/11*b**2 + u.
-2*(b - 3)*(21*b + 2)/11
Let b be 19 + 3 - (-125 - -141). Let t(i) be the third derivative of 0*i - 1/45*i**b - 1/3*i**3 + 9*i**2 + 0 + 1/9*i**4 + 1/45*i**5 + 1/315*i**7. Factor t(z).
2*(z - 3)*(z - 1)**2*(z + 1)/3
Let a be (-88)/(((-1)/3)/((-2)/(-6))). Factor -2 + 23*j + 5*j**2 - a - 10*j**2 + 32*j.
-5*(j - 9)*(j - 2)
Let b(d) be the second derivative of -2*d**5/35 - 3*d**4/14 + 58*d**3/21 + 15*d**2/7 - 2910*d. Solve b(r) = 0 for r.
-5, -1/4, 3
Factor -3/5*z + 0*z**4 + 6/5*z**3 + 0 - 3/5*z**5 + 0*z**2.
-3*z*(z - 1)**2*(z + 1)**2/5
Let z be (-14 - 2/(-1))*(-2)/8. Find k, given that -3*k**4 - 5*k**5 + 3*k**5 - 3*k**4 + 9*k**4 + 6*k**z - 4*k + 2*k**2 - 5*k**4 = 0.
-2, -1, 0, 1
Suppose -s = -2*r + 4*s - 0*s, -10*s = -4*r - 32*s. Find h, given that -h - 9/5*h**2 - 3/5*h**3 + 1/5*h**4 + r = 0.
-1, 0, 5
Let u = 4605 - 46049/10. Let g(x) be the first derivative of -u*x**4 + 8 + 0*x - 1/5*x**2 + 4/15*x**3. Determine y, given that g(y) = 0.
0, 1
Let b(u) be the third derivative of u**6/2160 - u**5/240 + u**4/72 - 27*u**3/2 - u**2 + 6*u. Let i(m) be the first derivative of b(m). Factor i(v).
(v - 2)*(v - 1)/6
Factor -3500*w**2 - 5*w**3 - 140*w + 20 + 3555*w**2 - 11 - 9.
-5*w*(w - 7)*(w - 4)
Let o be ((-5439)/(-74))/((-3)/8). Let q = o + 1374/7. Suppose q*r**2 - 2/7*r**3 + 2/7*r - 2/7 = 0. What is r?
-1, 1
Let k(n) = -26*n**2 + 86*n - 74. Suppose -r - 3 = -16. Let v(p) = 0*p - 8*p**2 + r*p**2 - 1 - p - 4*p**2. Let z(u) = -k(u) + 10*v(u). Solve z(b) = 0 for b.
4/3
Find x such that 1/4*x**5 + 8*x**4 - 8*x**2 + 0 + 0*x - 1/4*x**3 = 0.
-32, -1, 0, 1
What is j in 2589*j**4 + 19 - 1321*j**4 - 14*j**2 - 4*j**5 - 1319*j**4 - 19 + 69*j**3 = 0?
-14, 0, 1/4, 1
Let c(z) = 7*z**2 - 108*z - 238. Let j(o) = 30*o**2 - 429*o - 951. Let t(q) = -9*c(q) + 2*j(q). Factor t(y).
-3*(y - 40)*(y + 2)
Let j(f) = -17*f**4 - 588 + 258*f**3 + 521*f**2 + 22*f**4 + 16*f**4 - 1932*f. Let u(s) = -4*s**2. Let m(n) = -j(n) - 2*u(n). Suppose m(w) = 0. What is w?
-7, -2/7, 2
Let k = -166589/18 - -9255. Let g(s) be the third derivative of 1/36*s**4 + 0*s + 1/60*s**6 - 27*s**2 + 0*s**3 + 1/35*s**7 - k*s**5 + 0. Factor g(q).
2*q*(q + 1)*(3*q - 1)**2/3
Let k be (-2 + 1)/(((-7)/(-4))/(-7)). Suppose f = 2*f - k. Factor 3*h**3 - 3*h**5 - 234 - 3*h**2 + 3*h**f + 234.
-3*h**2*(h - 1)**2*(h + 1)
Let d(s) = 5*s**2 + 3*s + 17. Let t(a) = -3. Let p(r) = d(r) + 3*t(r). Let w(o) = 19*o**2 + 9*o + 25. Let u(c) = -7*p(c) + 2*w(c). Factor u(l).
3*(l - 2)*(l + 1)
Suppose -4*a - 5 = 5*z - 15, 3*a - 4 = -2*z. Let m(w) be the second derivative of 23*w + 1/3*w**4 - 4/3*w**3 + 2*w**z + 0. Let m(v) = 0. Calculate v.
1
Let f(p) be the first derivative of 1/2*p**4 + 2/3*p**3 - 1/5*p**5 - 1/2*p**2 + 46 - 1/6*p**6 - p. Factor f(v).
-(v - 1)**2*(v + 1)**3
Let u(h) = -h + 8. Let x be u(6). Determine l, given that 3*l**2 - 103*l**3 - x*l**4 + 7*l**5 - l**2 + 96*l**3 = 0.
-1, 0, 2/7, 1
Let s(l) be the third derivative of 5*l**7/42 - 119*l**6/8 + 41*l**5 - 175*l**4/6 + 1398*l**2. Determine v, given that s(v) = 0.
0, 2/5, 1, 70
Let h(c) be the third derivative of -c + 0*c**3 - 1/12*c**5 + 0*c**4 + 0 + 8*c**2. Let h(b) = 0. What is b?
0
Factor 207/2*o + 12*o**2 - 81/2.
3*(o + 9)*(8*o - 3)/2
Let p(l) = -552 - 3*l**3 + 3*l**3 + l**4 + l**3 + 551 - l. Let x(g) = -3*g**5 + 15*g**4 - 27*g**3 + 3*g + 3. Let t(a) = 3*p(a) + x(a). Let t(d) = 0. What is d?
0, 2, 4
Let d(c) be the first derivative of -101 - 1/8*c**6 + 0*c + 0*c**2 - 1/2*c**3 + 9/16*c**4 + 0*c**5. Solve d(s) = 0 for s.
-2, 0, 1
Suppose 3/5*q**3 - 117/5*q**2 + 114/5*q + 0 = 0. Calculate q.
0, 1, 38
Let a(r) = 6*r**4 + 9*r**3 + 6*r**2 - 33*r - 18. Let x(s) = -s**3 - 4*s**2 + 2*s + 2. Let t(m) = a(m) + 6*x(m). Factor t(z).
3*(z - 2)*(z + 1)**2*(2*z + 1)
Let a(n) = 59*n**2 - 101*n - 251. Let l(o) = 21*o**2 - 33*o - 84. Let p(z) = -6*a(z) + 17*l(z). Suppose p(q) = 0. Calculate q.
-13, -2
Let s(n) be the third derivative of -n**7/5040 + n**6/180 - n**5/20 + 17*n**3/3 - 4*n**2 + 8*n. Let q(t) be the first derivative of s(t). Factor q(w).
-w*(w - 6)**2/6
Let -825 - 3162 - 477 + 841 - 4*f**2 - 420*f - 1161 = 0. What is f?
-92, -13
Factor -1342 - 48*c - 247*c**2 - 129*c**3 + 1108 - c**4 - 2*c**4 - 543*c - 236*c**2.
-3*(c + 1)**2*(c + 2)*(c + 39)
Factor -9 + 15/2*i + 2*i**2 - 1/2*i**3.
-(i - 6)*(i - 1)*(i + 3)/2
Let u(j) be the first derivative of -4*j + 16/9*j**3 - 57 - 1/6*j**4 + 1/3*j**2 - 4/15*j**5. Determine n, given that u(n) = 0.
-2, -1, 1, 3/2
Suppose 12*y + 4*t - 2 = 15*y, 4 = 5*y - 3*t. Determine f, given that -f + 2*f + 2297*f**2 + 2*f**3 - 2295*f**y - f = 0.
-1, 0
Factor -41/4*p + 1/2 - 21/4*p**2.
-(p + 2)*(21*p - 1)/4
Let v(h) = -7*h**2 - 64*h - 12. Let d be v(-9). Let t be ((-582)/(-15) - 7) + d. Determine j, given that t + 1/5*j**2 - 24/5*j = 0.
12
Factor -4520/9*n - 2/9*n**2 - 2553800/9.
-2*(n + 1130)**2/9
Let i(t) = 1479*t + 7397. Let z be i(-5). Let j(l) be the second derivative of 1/30*l**6 - 1/10*l**5 + 0 - 1/12*l**4 + 0*l**z + 1/3*l**3 - 3*l. Solve j(p) = 0.
-1, 0, 1, 2
Let a = 54 + -31. Suppose -7*b + 2*b + r + a = 0, 2*r + 10 = b. Factor 2 + 4*z**3 + 42*z**3 + b + 26*z + 14*z**4 + 2*z**5 - 10*z**3 + 44*z**2.
2*(z + 1)**4*(z + 3)
Let j(g) be the first derivative of -g**6/480 - g**5/80 + g**4/96 + g**3/8 - 17*g**2/2 - 55. Let k(t) be the second derivative of j(t). Solve k(h) = 0 for h.
-3, -1, 1
Let c(k) be the second derivative of -7*k + 1/36*k**7 + 1/9*k**3 + 1 + 79/120*k**5 + 29/36*k**4 - 2/3*k**2 + 2/9*k**6. Suppose c(v) = 0. What is v?
-2, -1, 2/7
Suppose -119*j - 48*j = -53*j - 570. Let 0 + 9/2*k**3 + 2*k - 7/4*k**4 - 5*k**2 + 1/4*k**j = 0. Calculate k.
0, 1, 2
Let h = 73128 + -73125. Determine w, given that 1/4*w**2 + 0*w - 1/4*w**4 + 0*w**h + 0 = 0.
-1, 0, 1
Let w be 4/(-14)*2 + (-1794)/49335 + 4182/3080. Let 5*n**2 - 3*n + 0 - 3/2*n**4 + 1/4*n**5 - w*n**3 = 0. What is n?
-2, 0, 1, 6
Let s(i) be the first derivative of 3*i**5/35 - 57*i**4/28 + 73*i**3/7 - 99*i**2/14 - 54*i - 3269. Let s(u) = 0. Calculate u.
-1, 3, 14
Let i = -4481 + 4484. Let s(o) be the first derivative of -4*o**i + 0*o**2 - 1/2*o**6 + 0*o - 6*o**4 - 3*o**5 + 27. Suppose s(u) = 0. What is u?
-2, -1, 0
What is f in -13/2*f - 1/2*f**2 + 7 = 0?
-14, 1
Let x(p) be the third derivative of p**8/112 + p**7/10 + 17*p**6/40 + 17*p**5/20 + 3*p**4/4 - 207*p**2. Let x(j) = 0. What is j?
-3, -2, -1, 0
Let w = 4700 + -4698. Let t(k) be the second derivative of 1/4*k**5 + 14*k + 0*k**4 - 5*k**w + 0 - 5/2*k**3. Factor t(d).
5*(d - 2)*(d + 1)**2
Let q(t) be the first derivative of 1/2*t**2 + 0*t + 1/720*t**6 - 1/60*t**5 - 16 + 1/16*t**4 + 0*t**3. Let w(v) be the second derivative of q(v). Factor w(i).
i*(i - 3)**2/6
Let p(c) be the third derivative of c**7/168 - c**6/18 - c**5/24 + 5*c**4/6 + 91*c**3/6 + 10*c**2 - 2. Let z(a) be the first derivative of p(a). Factor z(d).
5*(d - 4)*(d - 1)*(d + 1)
Suppose 364*z = 277*z + 553 - 205. Factor -2/3*q**2 - 16/9 + 2/9*q**z - 28/9*q + 8/9*q**3.
2*(q - 2)*(q + 1)**2*(q + 4)/9
Let p(y) be the second derivative of y**8/1344 + 5*y**7/504 + y**4/4 - 3*y**2/2 + 9*y. Let w(s) be the third derivative of p(s). Find c, given that w(c) = 0.
-5, 0
Let m(c) be the second derivative of -c**6/35 + 3*c**5/70 - 2*c - 4922. Factor m(l).
-6*l**3*(