22*y**3/3 + 41*y**2. Let u(m) be the first derivative of g(m). Solve u(q) = 0 for q.
-1, 0, 6
Let b(h) be the first derivative of 4/9*h**3 + 25 + 25/6*h**2 + 2*h. Find v, given that b(v) = 0.
-6, -1/4
Let h be ((-7154)/980)/((-9)/10) - 1. Factor -h - 8/3*v**2 - 8*v - 2/9*v**3.
-2*(v + 2)**2*(v + 8)/9
Find c, given that -19415808 - 1022*c**2 + 347*c**2 - 10547*c - 4717*c + 335*c**2 + 337*c**2 = 0.
-2544
Let s(n) be the first derivative of 76 - 8*n - 4*n**2 + 1/8*n**4 + 1/6*n**3. Find k such that s(k) = 0.
-4, -1, 4
Factor 408 - 1129*r**2 + 1125*r**2 - 56*r + 72.
-4*(r - 6)*(r + 20)
Let b(j) be the third derivative of j + 1/15*j**4 + 1/150*j**5 - j**2 - 1/3*j**3 + 0. Factor b(k).
2*(k - 1)*(k + 5)/5
Factor -13*b**2 + 9/2*b**3 + 0 + 12*b - 1/2*b**4.
-b*(b - 4)*(b - 3)*(b - 2)/2
Let v(p) be the third derivative of 3*p**8/112 + 4*p**7/35 + 3*p**6/20 - p**4/8 - 60*p**2 - 5. Factor v(u).
3*u*(u + 1)**3*(3*u - 1)
Let c(u) be the third derivative of -1/35*u**5 - 2/21*u**4 + 1/210*u**6 + 0*u**3 + 19*u**2 + 0*u + 0. Factor c(o).
4*o*(o - 4)*(o + 1)/7
Let z(r) = -r**3 + r**2 - r - 9. Let t(i) = -3*i**4 + 63*i**3 + 102*i**2 - 177*i - 135. Let n(g) = t(g) - 15*z(g). Factor n(x).
-3*x*(x - 27)*(x - 1)*(x + 2)
Let a(t) be the first derivative of -t**4/30 - 16*t**3/15 - 64*t**2/5 - 137*t - 310. Let j(v) be the first derivative of a(v). Suppose j(o) = 0. Calculate o.
-8
Factor -15 - 220*o - 4*o + 94*o + 18*o**2 + 27*o**2.
5*(o - 3)*(9*o + 1)
Let p be 3586/8 + 2/(-8). Let r = -1587 - -1591. Factor 256 - 11*x**3 - 45*x**3 + 132*x**2 + p*x - 3717*x**4 + 3721*x**r.
4*(x - 8)**2*(x + 1)**2
Let q(p) be the first derivative of -2*p**3/9 + 5*p**2/3 - 8*p/3 - 1299. Factor q(u).
-2*(u - 4)*(u - 1)/3
Let h(v) = 18*v**2 + 6*v + 7. Let u be h(-2). Factor 71*a + 6 + 3*a**4 - 135*a - 3*a**3 + u*a - 9*a**2.
3*(a - 2)*(a - 1)*(a + 1)**2
Suppose 3*n + 5*r = 86, -5*n + 2*r + 215 - 237 = 0. Suppose 48*h + 1152 + 1/2*h**n = 0. Calculate h.
-48
Let j(f) = f**2 + 252*f - 10. Let y(t) = -t**2 - 254*t + 11. Let h(g) = 11*j(g) + 10*y(g). Solve h(m) = 0.
-232, 0
Let h(m) = 2*m**4 + 5*m**2 - 1. Let z(l) = 22*l**4 - 174*l**3 + 240*l**2 + 352*l - 12. Let p(v) = -12*h(v) + z(v). Let p(b) = 0. What is b?
-88, -1, 0, 2
Let a be (2 + (-18)/12)*4. Determine h so that 10*h**a + 2*h**3 + h + 15 - 1 - 27*h = 0.
-7, 1
Let f(x) be the second derivative of x**5/35 + 29*x**4/21 - 20*x**3/3 - 496*x**2/7 - 341*x - 3. What is q in f(q) = 0?
-31, -2, 4
Let w(u) be the second derivative of -u**4/12 + 7*u**3/6 - 817*u + 1. Let w(r) = 0. What is r?
0, 7
Let v = 26424/103 + -170136/721. Determine g so that -2/7*g**2 - 2592/7 + v*g = 0.
36
Suppose p + 2*c = 157, 0 = 2*p - 0*p - c - 299. Suppose p = 10*y - 29. Determine m, given that -y*m**3 - 6*m + 18*m**2 + 2/3 = 0.
1/3
Solve -1899*k**3 + 12*k**2 + 39 + 69 + 1897*k**3 - 120*k**2 - k + 3*k = 0.
-54, -1, 1
Let h = -371063 + 3339679/9. Suppose 128/9 - h*v + 16/9*v**2 + 4/9*v**3 = 0. What is v?
-8, 2
Let i(n) be the first derivative of -5*n**3/3 + 2545*n**2 - 1295405*n - 1874. Let i(t) = 0. Calculate t.
509
Let r(h) = 6*h**2 + 24*h - 30. Let u be 9/(90/(-20)) - 2*-2. Let m(v) = 5*v**2 + 25*v - 30. Let b(x) = u*r(x) - 3*m(x). Factor b(w).
-3*(w - 1)*(w + 10)
Suppose 0 = -100*f + 101*f. Let b be f - (-513)/63 - 5. Find z, given that 16/7*z**3 + 6/7*z + 0 + b*z**2 = 0.
-1, -3/8, 0
Let n(t) be the third derivative of -133/30*t**5 + 4*t**3 + 3*t**2 - 49/12*t**4 - 1/2*t**6 + 0 + 8*t. Find h, given that n(h) = 0.
-4, -3/5, 1/6
Let n(t) be the first derivative of -t**6/180 - 3*t**5/5 - 65*t**4/3 - 1352*t**3/9 - 34*t**2 + 184. Let y(s) be the second derivative of n(s). Factor y(u).
-2*(u + 2)*(u + 26)**2/3
Let i be 9/(-45) + (-282)/(-10). Find s, given that 16*s - 16*s**2 + 3 + 32*s**3 - 3 - i*s**3 = 0.
0, 2
Factor 1/5*i**3 + 0 + 3*i**2 + 14/5*i.
i*(i + 1)*(i + 14)/5
Let d(c) = c**3 + 2. Let r(z) = 2*z**5 - 114*z**4 - 5*z**3 + 114*z**2 - 6. Let l(w) = -3*d(w) - r(w). Solve l(i) = 0 for i.
-1, 0, 1, 57
Let q(z) be the second derivative of -z**7/3780 - z**6/180 - z**5/20 - z**4/4 + z**3 + 31*z. Let n(v) be the third derivative of q(v). Solve n(p) = 0 for p.
-3
Factor -1104/13 + 2/13*j**2 + 68/13*j.
2*(j - 12)*(j + 46)/13
Let p(d) = d**2 - 2*d. Let j be p(3). Suppose 0 = -s - j, -5*q + 4*s + 245 = -s. Find y such that 34*y - 4 + 13*y + 23*y - 22*y**2 - q + 2*y**3 = 0.
1, 5
Let k(z) be the third derivative of z**6/1260 + 101*z**5/630 - 104*z**4/63 + 20*z**3/3 - 6*z**2 + 212. Let k(n) = 0. Calculate n.
-105, 2
Let s(k) = -k**3 + 10*k**2 + 2*k - 7. Let b be s(10). Factor -8*x + b - 13 - 13 - 11 + 2*x**2.
2*(x - 6)*(x + 2)
Let s be (245/(-25) + -1)/((-56)/60) + (-220)/20. Find g such that -4/7*g**3 + s*g + 0 - 4/7*g**4 + 4/7*g**2 = 0.
-1, 0, 1
Suppose 827*q - 56 = 799*q. Let n(i) be the second derivative of -37/160*i**5 - 5/24*i**4 - 3/112*i**7 + 3*i + 0*i**q + 0 - 1/12*i**3 - 1/8*i**6. Factor n(a).
-a*(a + 1)**2*(3*a + 2)**2/8
Suppose 13*y - 9*y = -144. Let w be (24/y)/((-1)/3). Factor -2*x + 17*x**2 - 12*x**w - 3*x.
5*x*(x - 1)
Let k = 45 + -43. Let -13*v + 30 + 2*v - k*v**2 - 3*v**2 + 6*v = 0. What is v?
-3, 2
Let l = -51913 - -51913. Factor 2/3*b**2 - 2*b + 2/9*b**4 + 10/9*b**3 + l.
2*b*(b - 1)*(b + 3)**2/9
Find d, given that 1/3*d**3 - 100 + 601/3*d - 302/3*d**2 = 0.
1, 300
Factor -1/9*l**2 - 41/9*l + 14/3.
-(l - 1)*(l + 42)/9
Let s(c) be the second derivative of c**4/3 + 8776*c**3/3 + 9627272*c**2 - 3669*c + 2. Determine v, given that s(v) = 0.
-2194
Let q(z) be the first derivative of -z**6/33 - 74*z**5/55 - 135*z**4/22 - 190*z**3/33 + 136*z**2/11 + 24*z - 12884. Find f, given that q(f) = 0.
-33, -2, -1, 1
Let k(z) = z**2 - 60*z + 286. Let s(w) = -2*w**2 + 77*w - 571. Let y(b) = 15*k(b) + 6*s(b). Factor y(m).
3*(m - 144)*(m - 2)
Let q = -183536 - -550610/3. Solve -10/3*v + 0 + q*v**2 = 0.
0, 5
Let m(w) be the third derivative of w**7/70 + 7*w**6/40 + w**5/5 - 3*w**4/2 - 697*w**2. Factor m(d).
3*d*(d - 1)*(d + 2)*(d + 6)
Factor 3/7*r**2 + 87/7 - 262/7*r.
(r - 87)*(3*r - 1)/7
Let f(j) be the third derivative of 1/70*j**7 + 0*j - 1/9*j**4 + 5/9*j**3 - 133*j**2 + 5/48*j**6 - 79/360*j**5 + 0. Find n such that f(n) = 0.
-5, -1/2, 2/3
Let b(f) be the first derivative of 12*f**2 + 2/3*f**3 + 13 + 70*f. Factor b(n).
2*(n + 5)*(n + 7)
Let b be (51/(-9) + 6)*18. Determine g so that 17*g - 20 + 3*g - 7*g**2 + b*g**2 + 6*g**2 - 5*g**3 = 0.
-2, 1, 2
Suppose 0 = -5138804*d + 5138862*d. Solve d - 2/3*w**3 - 20/9*w**2 + 2/9*w**4 + 0*w = 0.
-2, 0, 5
Let h = 1216111 - 1216106. Factor -8 - 20/3*j + 14/3*j**2 + 7*j**3 + 8/3*j**4 + 1/3*j**h.
(j - 1)*(j + 2)**3*(j + 3)/3
Let j be 30/14 + (-61875)/35000. What is k in -9/8*k + j*k**4 + 9/8*k**3 + 3/8*k**2 - 3/4 = 0?
-2, -1, 1
Let t(h) be the second derivative of h**7/105 - h**6/6 + 2*h**5/5 + 6*h**4 + 83*h**2 - 66*h. Let y(j) be the first derivative of t(j). Factor y(l).
2*l*(l - 6)**2*(l + 2)
Suppose -6*a - 5*a - 3 = -25. Let r(g) be the first derivative of -3/4*g**4 - a*g**3 - 3/2*g**2 - 16 + 0*g. Factor r(k).
-3*k*(k + 1)**2
Factor 195*p - 60*p**3 + 209*p + 5*p**4 + 180*p**2 + 101*p - 665*p.
5*p*(p - 8)*(p - 2)**2
Let q be (132/64)/((-5)/12). Let f = q - -337/60. Factor 2*k**2 + 0 - f*k**3 - 4/3*k.
-2*k*(k - 2)*(k - 1)/3
Let q(c) be the second derivative of -c**6/18 + 8*c**5/15 - 11*c**4/6 - 53*c**3/2 + 5*c + 15. Let x(u) be the second derivative of q(u). Factor x(s).
-4*(s - 1)*(5*s - 11)
Let k(p) be the second derivative of p**6/45 - 7*p**5/30 + p**4/3 + 32*p**3/9 - 32*p**2/3 + 133*p - 3. Find a, given that k(a) = 0.
-2, 1, 4
Let k(c) be the second derivative of -4*c**2 - 1/12*c**4 + 0 - 71*c + 3/2*c**3. Factor k(d).
-(d - 8)*(d - 1)
Let s(w) be the third derivative of 0 - 4913/60*w**3 + w - 1/1200*w**6 + 3*w**2 - 17/200*w**5 - 289/80*w**4. Determine l, given that s(l) = 0.
-17
Let y(f) be the first derivative of -f**8/336 + 5*f**7/28 - 25*f**6/8 - 17*f**3 + f**2 - 300. Let j(u) be the third derivative of y(u). Factor j(s).
-5*s**2*(s - 15)**2
Let g(w) be the first derivative of -2*w**5/105 + w**4/6 - 16*w**3/63 - 16*w**2/21 - 2806. Factor g(u).
-2*u*(u - 4)**2*(u + 1)/21
Let o(a) be the second derivative of -a**4/60 + 1987*a**3/15 - 3948169*a**2/10 + 5275*a. Find r, given that o(r) = 0.
1987
Let k(w) be the first derivative of w**6/69 -