217*f**2 + 2*f**4 + 39*f**2.
2*f**2*(f - 16)**2
Let h(b) be the third derivative of 2*b**2 + 0*b**3 + 0*b**4 + 0*b + 1/20*b**5 + 0. Factor h(j).
3*j**2
Let r(i) be the first derivative of i**6/75 - 8*i**5/125 + 2*i**4/25 - 659. Let r(q) = 0. What is q?
0, 2
Let k = 325 + -187. Let t be 1/(-3) - k/(-9). Factor -3*i**2 + 28*i - i**2 - t*i - 17*i.
-4*i*(i + 1)
Let z(j) = -j**3 + 8*j**2 + 10*j - 6. Let u be z(9). Let k(b) = b**2 + 5*b - 4. Let t be k(-6). Factor -5*p - 9*p**2 - 3 + 0*p**t + 5*p - u*p**3 - 9*p.
-3*(p + 1)**3
Let f(o) be the third derivative of 1/210*o**5 - 2*o**2 + 0*o + 0*o**3 + 0 + 1/21*o**4. Find d, given that f(d) = 0.
-4, 0
Let k(c) be the second derivative of c**7/315 - 2*c**6/225 - c**5/75 + 2*c**4/45 + c**3/45 - 2*c**2/15 - 5*c - 21. What is g in k(g) = 0?
-1, 1, 2
Suppose 4*p - 191 = -5*m, 4*m - 5*p = -0*m + 120. Let r be 147/m - 1/5. Let -2/7*q**2 + 0 - 2/7*q**r - 4/7*q**3 + 0*q = 0. What is q?
-1, 0
Let r(y) = 8*y**3 - 18*y**2 + 7*y. Let c(z) = 6*z - 24*z**3 - 8*z + 54*z**2 - 16*z - 4*z. Let s(g) = 3*c(g) + 10*r(g). Let s(i) = 0. Calculate i.
0, 1/4, 2
Let o(m) be the first derivative of -15*m**4/8 - 33*m**3/2 - 69*m**2/2 + 36*m + 15. What is z in o(z) = 0?
-4, -3, 2/5
Suppose -m + 15 = 4*m + 5*b, -m + 2*b = 0. Let r be (m/32)/((-19)/(-76)). Suppose 3/4*z + 1/4 + r*z**3 + 3/4*z**2 = 0. Calculate z.
-1
Suppose -2*n + 11 = 5*s - 3, 2*n = 2*s. Factor -3/4*j + 1/4*j**4 + 0 - 1/4*j**3 - 5/4*j**s.
j*(j - 3)*(j + 1)**2/4
Let v(q) be the second derivative of -q**4/12 + 4*q**3/3 + 10*q**2 - 81*q. Find u such that v(u) = 0.
-2, 10
Let s(t) = t**2 - 4*t + 2. Let p(u) = u - 14. Let x be p(4). Let m(f) = 2*f**2 - 9*f + 5. Let q(d) = x*s(d) + 4*m(d). Factor q(g).
-2*g*(g - 2)
Factor -17 - 17 - 3*z**2 - 52 + 10*z**3 + 38 + 92*z - 51*z**2.
2*(z - 2)*(z - 1)*(5*z - 12)
Let 0 - 3/8*g**3 + 9/4*g - 3/8*g**2 = 0. Calculate g.
-3, 0, 2
Let -16*u**3 + 4/5*u**4 + 0*u + 76/5*u**2 + 0 = 0. Calculate u.
0, 1, 19
Let a = 35454/7 - 5064. Factor -8/7*h**2 - 2/7*h + a.
-2*(h + 1)*(4*h - 3)/7
Factor 7/3 + 1/6*b**2 - 3/2*b.
(b - 7)*(b - 2)/6
Factor 8/3 - 23/9*b - 1/9*b**2.
-(b - 1)*(b + 24)/9
Let n be (72/(-15)*(-4)/16)/(240/800). Solve -3/4*h**5 + 3/4*h**3 + 0 + 0*h + 3/4*h**n - 3/4*h**2 = 0 for h.
-1, 0, 1
Let j(s) = 5*s**2 + 194*s - 232. Let q(u) = -u**2 - 39*u + 46. Let t(p) = -2*j(p) - 11*q(p). Let t(v) = 0. Calculate v.
-42, 1
Let u(g) = 3*g**3 - 31*g**2 + 41*g + 51. Let w(x) = 2*x**3 - 27*x**2 + 40*x + 51. Let v(j) = 3*u(j) - 4*w(j). Factor v(k).
(k - 3)*(k + 1)*(k + 17)
Let s = 11 - 8. Suppose m = -s*m + 16. Factor u - 2*u**4 + 0*u**2 + 0*u**m + 0*u**4 - u**5 + 2*u**2.
-u*(u - 1)*(u + 1)**3
Let b = 4 + 1. Suppose 5*z = -b*i + 35, 4*i + z = 3*z + 16. Let 11*j - j**2 - i*j - 4*j - 1 = 0. What is j?
1
Let a be (-954)/(-243) + -4 - 340/(-945). Solve -2 - 10/7*i**2 + a*i**3 - 26/7*i = 0 for i.
-1, 7
Let q(i) be the first derivative of -i**6/1260 + i**5/105 - i**4/21 + 17*i**3/3 - 5. Let l(v) be the third derivative of q(v). Factor l(u).
-2*(u - 2)**2/7
Let j(x) be the third derivative of x**7/70 - 23*x**6/40 + 21*x**5/20 + 23*x**4/8 - 11*x**3 + 48*x**2. Factor j(g).
3*(g - 22)*(g - 1)**2*(g + 1)
Let c(q) be the second derivative of -q**6/15 + q**5/2 - 7*q**4/6 + q**3 - 32*q - 2. Factor c(w).
-2*w*(w - 3)*(w - 1)**2
Suppose 3*w + 8 = -d, -5*d + 2 = 2*w + 3. Let p(k) = 5*k + 17. Let h be p(w). Factor 3/7*f**4 + 0 - 12/7*f**h + 0*f - 9/7*f**3.
3*f**2*(f - 4)*(f + 1)/7
What is x in 0 - 2/19*x**5 - 16/19*x + 14/19*x**4 - 36/19*x**3 + 40/19*x**2 = 0?
0, 1, 2
Let u(c) be the third derivative of -c**5/30 - 19*c**4/3 - 1444*c**3/3 - 6*c**2 + 11. Suppose u(q) = 0. Calculate q.
-38
Let f(l) be the third derivative of -l**6/200 + 7*l**5/50 - 5*l**4/8 + 6*l**3/5 - 2*l**2 - 13*l. Determine a, given that f(a) = 0.
1, 12
Let c(x) be the third derivative of 1/60*x**5 + 0*x**4 + 0*x**3 + 4*x**2 + 0*x + 0. What is y in c(y) = 0?
0
Suppose 3*x + 9 = -0*y - y, 9 = 3*y. Let u be ((-4)/3)/x - 6/18. Solve u + 0*p + 5*p**4 - 3/2*p**5 + p**2 - 9/2*p**3 = 0.
0, 1/3, 1, 2
Let d(n) be the first derivative of -n**5/30 - 5*n**4/24 + n**3/2 + 31*n**2/2 + 33. Let v(c) be the second derivative of d(c). Factor v(b).
-(b + 3)*(2*b - 1)
Let g(w) = -4 + 0 + 3 + 4*w**2 - 3*w**2. Let y(p) = -12*p**2 + 12*p - 25. Let d(k) = 22*g(k) + 2*y(k). Factor d(o).
-2*(o - 6)**2
Let z be (6/(-10))/((-2)/(-30)). Let d = -7 - z. Factor -15*r**3 + 48*r - 5*r**d + 12 - 34*r**2 - 60*r.
-3*(r + 1)*(r + 2)*(5*r - 2)
Suppose 5*s = 5, -5*c - 2*s + 24 = 2*s. Suppose 0 = 2*h + w - 1, -5*h = 4*w - 2*w - c. Determine m so that h*m**2 - 2*m + m**3 + 1/2 - 5/2*m**4 + m**5 = 0.
-1, 1/2, 1
Let m(f) be the third derivative of f**7/504 + f**6/12 + 3*f**5/2 - f**4/12 + 5*f**2. Let x(w) be the second derivative of m(w). Factor x(g).
5*(g + 6)**2
Let p(a) be the first derivative of -5*a**3/3 - 55*a**2/2 - 50*a + 56. Find f, given that p(f) = 0.
-10, -1
Let d be (0/(-38))/(8/(-1)). Factor d + 0*v - 4/17*v**2 + 2/17*v**3.
2*v**2*(v - 2)/17
Let t(a) be the first derivative of a**6/24 - 3*a**5/5 + 5*a**4/4 + a**3/6 - 21*a**2/8 + 5*a/2 + 55. Find g such that t(g) = 0.
-1, 1, 10
Let j(o) = 4*o**3 + 6*o + 4*o**2 + 4 - o**2 - 9*o**3. Let z(l) = -4*l**3 + 2*l**2 + 6*l + 4. Let d(r) = -2*j(r) + 3*z(r). Factor d(i).
-2*(i - 2)*(i + 1)**2
Let n(y) be the first derivative of 4/5*y - 9/5*y**2 + 24 + 32/15*y**3 + 12/25*y**5 - 1/15*y**6 - 7/5*y**4. Let n(c) = 0. What is c?
1, 2
Factor -10*t**2 - 1/3*t**4 + 125 + 100/3*t - 4*t**3.
-(t - 3)*(t + 5)**3/3
Let m = 3145 + -3143. Factor 8/7 + 12/7*p + 4/7*p**m.
4*(p + 1)*(p + 2)/7
Suppose 6 = 5*h - 44. Suppose -o = -5*q + h, -q + 1 + 1 = o. Factor 19*v + 104*v**3 + 90*v**q - 16 - 3*v + 18*v**2 + 28*v**4.
4*(v + 1)**2*(v + 2)*(7*v - 2)
Let v(o) = -o**2 - 16*o + 15. Let n be v(-17). Let b(w) = -4*w**3 - 5*w**2 - 4*w - 6. Let h(g) = g**3 - g + 1. Let a(x) = n*b(x) - 6*h(x). Factor a(c).
2*(c + 1)**2*(c + 3)
Let i(n) be the first derivative of -n**6/14 - 6*n**5/35 + 3*n**4/28 + 2*n**3/7 + 260. Let i(h) = 0. Calculate h.
-2, -1, 0, 1
Let n = 51 + -110. Let v = n + 59. Factor v + 0*f + 1/3*f**3 - 2/3*f**2.
f**2*(f - 2)/3
Let v be ((-165)/(-275))/((-2)/(-10)). Factor v*b**2 + 1/3*b + 11/3*b**3 + 4/3*b**4 - 1/3.
(b + 1)**3*(4*b - 1)/3
Suppose -4 - 4/3*p + 7/3*p**2 - 1/3*p**3 = 0. What is p?
-1, 2, 6
Let j = -1/1391 - -1396/6955. Let o(g) be the first derivative of 14 - 2/15*g**3 + 0*g - j*g**2. Factor o(v).
-2*v*(v + 1)/5
Let s(r) = -r**3 + 5*r**2 - 3*r - 4. Let p be s(2). Suppose 0*h + 5*h - 21 = p*o, -5*o = -5*h + 30. Determine d, given that 0 + 0*d + 7/3*d**h - 2/3*d**2 = 0.
0, 2/7
Determine x, given that 6 - 4253*x**2 - 4197*x**2 + 6 + 16*x**4 + 12 + 8410*x**2 - 4*x**5 + 4*x = 0.
-1, 1, 2, 3
Let a(v) be the second derivative of 1/33*v**3 - 1/66*v**4 - 1/110*v**5 + 0 + 1/11*v**2 - v. Factor a(u).
-2*(u - 1)*(u + 1)**2/11
Factor -8/3 + 4/3*r**3 - 8/3*r - 2/3*r**4 + 2*r**2.
-2*(r - 2)**2*(r + 1)**2/3
Determine v so that -9/5*v**4 - 74/5*v**2 - 16/5*v - 81/5*v**3 + 0 = 0.
-8, -2/3, -1/3, 0
Let a(q) be the second derivative of -q**7/189 + 56*q**6/135 - 482*q**5/45 + 1720*q**4/27 + 27200*q**3/27 + 32000*q**2/9 - 663*q. Determine k so that a(k) = 0.
-2, 20
What is a in -236/3*a - 10/3*a**2 + 32 = 0?
-24, 2/5
Let z(d) = -2*d**2 - 11*d + 53. Let b(q) = -q**2 - 7*q + 33. Let g(o) = 8*b(o) - 5*z(o). Find n, given that g(n) = 0.
-1/2, 1
Suppose -5*o - 7*l + 15 = -2*l, -4*o + 14 = 3*l. Let j(y) be the second derivative of 1/15*y**6 + 0*y**2 + 1/2*y**4 + 3/10*y**o + y + 1/3*y**3 + 0. Factor j(m).
2*m*(m + 1)**3
Let b(o) be the second derivative of -3*o**5/20 + 5*o**4/4 - 3*o**3/2 - 27*o**2/2 + 129*o. Find v, given that b(v) = 0.
-1, 3
Suppose 5*l = -5*m + 3*m + 27, 0 = -m + 3*l - 14. Factor 20*n - 9 - 12*n**2 + 5 - m - 3.
-4*(n - 1)*(3*n - 2)
Let b(g) = g**2 - 115*g - 851. Let h be b(122). Factor -7/8*p**h - 3/4 - 29/8*p - 15/4*p**2.
-(p + 1)*(p + 3)*(7*p + 2)/8
Suppose 3*x = -0*c - c + 4, -8 = 4*c. What is b in 10*b**2 - 3 + 8*b**x - 21*b**2 - 6*b = 0?
-1
Suppose 2 = -t + 3. Suppose -3*m + t = -5. Factor c**5 + 0*c - 2*c**5 + 0*c**5 - 2*c**m + 2*c**4 + c.
-c*(c - 1)**3*(c + 1)
Find s such that 1/3*s**3 - 292*s**2 + 85264*s - 24897088/3 = 0.
292
Let f(u) be the third derivative of 1/9*u**3 + 0*u**4 - 5*u**2 