 h(b) be the first derivative of 3*b**5/5 + 15*b**4/4 + 9*b**3 + 21*b**2/2 + 6*b - 47. Find v, given that h(v) = 0.
-2, -1
Let -2*t**3 - 8*t + 4*t**2 + 12*t**4 + 0*t**3 + 10*t**3 - 16*t**4 = 0. What is t?
-1, 0, 1, 2
Let c(d) be the second derivative of -d**5/10 + 2*d**4 - 7*d**3 - 98*d**2 - 21*d - 2. Find z such that c(z) = 0.
-2, 7
Suppose -23*v = -29*v + 12. Let u be 1/((-2)/(-3))*2. Factor -v*y**3 - 3 + 0 + 9*y**4 + u*y**5 - 9*y - 6*y**2 + 8*y**3.
3*(y - 1)*(y + 1)**4
Let d be (-4 + (-7)/(-2))*-8. Let -1 - 3 - 8 - d*n**2 - 16*n = 0. What is n?
-3, -1
Suppose g - 18 = -5*g. Let l(p) be the first derivative of 1/10*p**5 + p**2 + 1/2*p + g + p**3 + 1/2*p**4. Find t, given that l(t) = 0.
-1
Factor 0*w + 2/9*w**4 + 2/9*w**3 + 0 + 0*w**2.
2*w**3*(w + 1)/9
Let t(j) be the first derivative of 25*j**6/18 - j**5/3 - 41*j**4/12 + j**3/9 + 8*j**2/3 + 4*j/3 + 22. Solve t(x) = 0 for x.
-1, -2/5, 1
Solve -861/2*n**2 + 621*n**3 + 810*n**4 - 9/2 - 324*n**5 + 78*n = 0 for n.
-1, 1/6, 3
Let p be 2/(-7)*(-1 + -13). Suppose p = 3*i - 2*i + 5*v, 20 = 5*i + 3*v. Factor 3/4*d**2 + 0 + 0*d**3 + 0*d - 3/4*d**i.
-3*d**2*(d - 1)*(d + 1)/4
Let p(f) = -4*f**2 + f + 2. Let l(i) = -2*i**2 + 9*i**2 - 11 + 16*i**2 - 5*i + 0*i. Let d(g) = -6*l(g) - 34*p(g). What is q in d(q) = 0?
-1
Solve -8/15*f + 8/15 + 2/15*f**4 - 2/5*f**2 + 4/15*f**3 = 0 for f.
-2, 1
Let y(r) be the third derivative of -r**6/780 - r**5/390 - 8*r**2. Factor y(p).
-2*p**2*(p + 1)/13
Let y(x) be the third derivative of x**6/240 + x**5/40 - x**3/3 + x**2 + 2*x. Factor y(k).
(k - 1)*(k + 2)**2/2
Suppose 23 - 5 = 3*i. Let h(f) be the first derivative of 0*f - 1/8*f**2 - 1/24*f**i + 1/8*f**4 + 0*f**5 - 3 + 0*f**3. Factor h(q).
-q*(q - 1)**2*(q + 1)**2/4
Let o(p) = 4*p**2 - 44*p + 100. Let u(w) = -w. Let s(j) = o(j) - 4*u(j). Factor s(h).
4*(h - 5)**2
Let m(x) be the third derivative of x**7/490 + x**6/420 - x**5/140 - x**4/84 + x**2 - 24. Factor m(i).
i*(i - 1)*(i + 1)*(3*i + 2)/7
Let r(a) be the third derivative of -a**7/70 - a**6/40 + a**5/40 - a**3/6 + 3*a**2. Let f(u) be the first derivative of r(u). Factor f(b).
-3*b*(b + 1)*(4*b - 1)
Let o be ((-108)/30)/((-2)/10). Let g be (3/o)/((-2)/(-20)). Factor -7/3*i**3 + 0 + 0*i + g*i**4 + 2/3*i**2.
i**2*(i - 1)*(5*i - 2)/3
Let s(y) be the second derivative of -y**7/14 + 3*y**6/10 + 3*y**5/10 - 3*y**4 + 4*y**3 + 2*y. Let s(i) = 0. What is i?
-2, 0, 1, 2
Factor 0 + 0*r**2 + 2/5*r**3 - 2/5*r**4 + 0*r.
-2*r**3*(r - 1)/5
Let r(o) be the third derivative of 1/60*o**6 + 0*o**4 - o**2 + 1/30*o**5 - 1/168*o**8 - 1/105*o**7 + 0 + 0*o**3 + 0*o. Factor r(i).
-2*i**2*(i - 1)*(i + 1)**2
Let a be (-1 + 6)*(-8)/20. Let z be 2/((-6)/a*1). Suppose 2/3*g - 2/3 + z*g**2 - 2/3*g**3 = 0. Calculate g.
-1, 1
Find f, given that -6*f**2 + 18/5*f**4 + 12/5*f + 0 - 24/5*f**3 = 0.
-1, 0, 1/3, 2
Let u(m) be the third derivative of m**5/45 + 5*m**4/72 + m**3/18 + 34*m**2. Find i such that u(i) = 0.
-1, -1/4
Let c(y) be the third derivative of 4/9*y**3 - 1/9*y**4 + 4*y**2 + 1/90*y**5 + 0 + 0*y. Factor c(j).
2*(j - 2)**2/3
Let i(f) be the second derivative of f**5/120 + f**4/24 - f**3/4 - f**2/2 - 4*f. Let u(j) be the first derivative of i(j). Let u(z) = 0. Calculate z.
-3, 1
Let g(c) be the third derivative of 1/33*c**3 - 1/330*c**6 + 0 + 1/66*c**4 + 0*c - 4*c**2 + 0*c**5 - 1/1155*c**7. Factor g(m).
-2*(m - 1)*(m + 1)**3/11
Let x(y) = y**3 - 1. Let k(r) = -r**3 - 3*r**2 - 2. Let z(b) = k(b) - 2*x(b). Factor z(n).
-3*n**2*(n + 1)
Factor l**2 + 8*l**3 + 3*l**2 - 8*l + 4*l - 4*l - 4*l**4.
-4*l*(l - 2)*(l - 1)*(l + 1)
Let u(h) = -3*h**3 + 17*h**2 + 7*h - 17. Let k(a) = -11*a**3 + 69*a**2 + 29*a - 69. Let f(d) = -2*k(d) + 9*u(d). Factor f(v).
-5*(v - 3)*(v - 1)*(v + 1)
Let c(v) be the third derivative of 0*v - 1/336*v**8 + 0*v**4 + 0 + 2*v**2 - 1/70*v**7 - 1/60*v**5 - 1/40*v**6 + 0*v**3. Factor c(l).
-l**2*(l + 1)**3
Let t(c) be the first derivative of c**4/12 - c**2/2 - 2*c/3 - 5. Let t(w) = 0. What is w?
-1, 2
Let x = 40 + -40. Let f(g) be the third derivative of 2*g**2 + 1/315*g**7 + 1/9*g**3 + 1/15*g**5 + 1/45*g**6 + x*g + 1/9*g**4 + 0. What is n in f(n) = 0?
-1
Let h(f) = -f + 2. Let d be h(-2). Let m = d - 2. Solve 0*x**2 + 2*x**m + x**2 + 3*x + 0*x = 0.
-1, 0
Let x(r) be the first derivative of r**8/11760 - r**7/2940 - r**6/2520 + r**5/420 - r**3/3 - 3. Let m(a) be the third derivative of x(a). Factor m(k).
k*(k - 2)*(k - 1)*(k + 1)/7
Suppose 2*o - 2*q - 18 = -4*q, 0 = 2*o + 3*q - 22. Suppose 3*m = -3*n - n + 23, -m = o*n - 26. Suppose 0*x**n + 2*x**5 - x**5 = 0. Calculate x.
0
Let k(n) be the first derivative of n**5/5 + n**4/4 - 2*n**3/3 - 50. Factor k(l).
l**2*(l - 1)*(l + 2)
Let b = 169 - 1519/9. Let i(h) be the first derivative of 16/27*h**6 + b*h - h**2 + 2 + 46/27*h**3 - 16/15*h**5 - 7/18*h**4. Determine w, given that i(w) = 0.
-1, 1/4, 1
Let g(x) = -x - 2. Let n(k) = -k + 4. Let l be n(8). Let t be g(l). Factor 2/7*i - 2/7*i**4 + 2/7*i**t + 0 - 2/7*i**3.
-2*i*(i - 1)*(i + 1)**2/7
Let i = -546/19 - -17923/627. Let k = i - -9/11. Let k*t - t**3 + 0 + 1/3*t**2 = 0. Calculate t.
-2/3, 0, 1
Let y(w) = 13*w**2 - 13*w + 11. Let f(o) be the first derivative of -7*o**3/3 + 7*o**2/2 - 6*o - 1. Let g(x) = 11*f(x) + 6*y(x). Solve g(b) = 0 for b.
0, 1
Let x(t) be the second derivative of 0*t**2 + 0 + 2*t - 1/40*t**6 - 9/80*t**5 - 3/16*t**4 - 1/8*t**3. Factor x(k).
-3*k*(k + 1)**3/4
Let p be 0 + -1 - (-4 + 2 + 1). Determine w, given that -2*w**2 - 4/7*w + p - 6/7*w**3 = 0.
-2, -1/3, 0
Let a(u) be the first derivative of 2*u**5/25 - 2*u**3/5 - 2*u**2/5 - 21. Factor a(q).
2*q*(q - 2)*(q + 1)**2/5
Factor -36/5*a**2 + 4/5*a**3 - 36/5*a + 4/5*a**4 + 0.
4*a*(a - 3)*(a + 1)*(a + 3)/5
Find w such that 13*w - 540*w**3 + 4*w**4 - 6*w**4 + 530*w**3 + 3*w - 4*w**2 = 0.
-4, -2, 0, 1
Suppose -t + 5 = 3. Let x be 0/(-7) + 0 + 2. Let t*g**2 + 0*g - 3*g**x + 0*g**2 - 2*g - 1 = 0. What is g?
-1
Let p(l) be the second derivative of -l**4/18 - l**3/3 - 2*l**2/3 - 62*l. Factor p(i).
-2*(i + 1)*(i + 2)/3
Let x = 7 + -3. Suppose -2*b = 5*v - 25, 12 = -0*v + x*v. What is i in i**b - 2*i**4 - 2*i**3 + 2*i**5 - i**5 + 2*i**2 = 0?
-1, 0, 1
Suppose -8 = 3*a - 2*q, 6*q - 3*q - 12 = -4*a. Factor 2/9*v**4 - 2/3*v**3 + 4/9*v**2 + 0*v + a.
2*v**2*(v - 2)*(v - 1)/9
Let a(f) be the second derivative of -f**8/11200 + f**4/12 + 2*f. Let x(z) be the third derivative of a(z). Factor x(k).
-3*k**3/5
Let u = 2342/7 + -334. Suppose -u*x + 4/7*x**3 + 6/7*x**2 - 6/7*x**4 + 0 = 0. Calculate x.
-1, 0, 2/3, 1
Solve -66*m**2 + 3*m**3 + 34*m**2 + 29*m**2 = 0 for m.
0, 1
Let o(v) be the third derivative of 0 + 1/90*v**5 - 5*v**2 + 0*v**3 + 0*v + 1/12*v**4. Solve o(i) = 0.
-3, 0
Let d be (2/(-4) - 0)*32/(-104). Suppose 2/13*g**3 - 2/13*g - 4/13 - d*g**4 + 6/13*g**2 = 0. Calculate g.
-1, 1, 2
Let k(d) be the first derivative of -d**5/5 + 9*d**4/8 - d**3 - d**2 - 8. Let x(a) be the second derivative of k(a). Determine i so that x(i) = 0.
1/4, 2
Suppose 3*v + v - 17 = -5*w, -w + 16 = 5*v. Let m(x) be the second derivative of -1/30*x**5 + 0 - v*x + 1/9*x**4 + 0*x**2 - 1/9*x**3. Factor m(t).
-2*t*(t - 1)**2/3
Let w(p) = 3*p**3 - 14*p**2 - 5*p + 8. Let m(t) = 2*t**3 - 9*t**2 - 3*t + 5. Let j be 375/(-45) + 1/3. Let d(q) = j*m(q) + 5*w(q). Factor d(g).
-g*(g - 1)**2
Suppose -4 + 34 = 5*j. Let j*r**5 - 2*r**3 + 0*r**5 - 4*r**5 = 0. Calculate r.
-1, 0, 1
Let b be (1/12)/(0 - 6/(-54)). Factor 0 + 1/4*y**4 - b*y**3 + 0*y + 1/2*y**2.
y**2*(y - 2)*(y - 1)/4
Let j(p) be the third derivative of -p**7/2520 + p**6/360 - p**5/120 + 5*p**4/24 + 6*p**2. Let w(r) be the second derivative of j(r). Factor w(c).
-(c - 1)**2
Determine p so that 1/2*p**3 + 3/2*p - 2*p**2 + 0 = 0.
0, 1, 3
Let s(l) be the third derivative of -l**10/181440 + l**9/30240 - l**7/3780 + 5*l**4/24 - 6*l**2. Let q(p) be the second derivative of s(p). Factor q(c).
-c**2*(c - 2)**2*(c + 1)/6
Let t(p) be the first derivative of -p**5/50 - p**4/30 + p**3/15 + p**2/5 + p - 1. Let k(j) be the first derivative of t(j). Determine i, given that k(i) = 0.
-1, 1
Let i(l) be the third derivative of l**5/60 + l**4/8 - 6*l**2. Factor i(t).
t*(t + 3)
Let q(b) be the second derivative of -b**6/30 + b**4/16 - b**3/24 + 14*b. Suppose q(t) = 0. Calculate t.
-1, 0, 1/2
Let s(a) = 4 - 1 - 14 + 3 + a. Let c be s(10