6 + 1/8*t**2 - 7/20*t**5 - 2 + 9/16*t**4 - 5/12*t**r + 0*t. Solve z(n) = 0 for n.
0, 1/2, 1
Factor -16/5 - 56/5*n - 10*n**3 - 76/5*n**2 - 2/5*n**5 - 16/5*n**4.
-2*(n + 1)**2*(n + 2)**3/5
Let k(p) be the first derivative of 2*p**5/55 + 3*p**4/22 - 4*p**2/11 + 9. Factor k(j).
2*j*(j - 1)*(j + 2)**2/11
Let r(t) be the first derivative of -2*t**3/3 + 10*t**2 - 50*t - 31. Find z such that r(z) = 0.
5
Let c(o) be the first derivative of -o**5/90 + o**4/27 - o**3/27 - 3*o + 3. Let v(t) be the first derivative of c(t). Find n such that v(n) = 0.
0, 1
Suppose -2*x + 52 = 2*x. Solve j**2 + 1 + 7*j**2 + j**2 - x + 3*j**3 = 0.
-2, 1
Let a be ((-2)/6)/((-1)/9). Let s be (0 + a)*(1 + 0). Suppose 3/4*j**s + 0 + 1/4*j + 1/4*j**4 + 3/4*j**2 = 0. Calculate j.
-1, 0
Let c = -4/321 + 2588/1605. Suppose 5*u + 2*a - 14 = 0, -3*u + 2*u + 2*a + 10 = 0. Factor 4/5*b**u + 2/5*b + c*b**2 + 2*b**3 + 0.
2*b*(b + 1)**2*(2*b + 1)/5
Factor 3/4 - 3/4*k**5 - 15/2*k**3 + 15/4*k**4 - 15/4*k + 15/2*k**2.
-3*(k - 1)**5/4
Let i(s) be the third derivative of s**7/10 + s**6/20 - 7*s**5/20 - s**4/4 + 10*s**2. Factor i(a).
3*a*(a - 1)*(a + 1)*(7*a + 2)
Determine k, given that 3/7*k**2 + 12/7 + 16/7*k - 1/7*k**3 = 0.
-2, -1, 6
Let f = 41256/5 - 8208. Suppose -f*a - 24/5*a**3 - 2/5*a**4 - 162/5 - 108/5*a**2 = 0. What is a?
-3
Let b(i) be the second derivative of 1/45*i**6 + 5*i + 0*i**2 + 0 + 1/15*i**5 + 1/18*i**4 + 0*i**3. Find p, given that b(p) = 0.
-1, 0
Let m(t) = -t**3 + 2*t**2 + t + 3. Let w(g) = -g**3 + g**2 + g + 3. Let o(r) = 4*m(r) - 5*w(r). Factor o(s).
(s - 1)*(s + 1)*(s + 3)
Let z(k) be the second derivative of -k**5/50 + 2*k**4/15 + 12*k. Let z(w) = 0. What is w?
0, 4
Let f(r) be the third derivative of r**6/200 - r**5/100 - r**4/20 - 7*r**2. Factor f(g).
3*g*(g - 2)*(g + 1)/5
Let i(x) be the third derivative of -x**6/40 + 3*x**5/10 - 9*x**4/8 + 2*x**3 - x**2 - 15. Find k, given that i(k) = 0.
1, 4
Let w = -9 - -8. Let d be w*(-5 + (3 - 0)). Factor 0 - 2/3*y - d*y**2 - 2/3*y**4 - 2*y**3.
-2*y*(y + 1)**3/3
Let z(k) be the second derivative of k**7/84 + k**6/30 + k**5/40 + 2*k. Solve z(a) = 0.
-1, 0
Let j(k) = 7*k**2 - 4*k - 5. Let r(w) = -13*w**2 + 7*w + 9. Let y(p) = 11*j(p) + 6*r(p). Suppose y(b) = 0. What is b?
-1
Let y(c) = -3*c**4 - c**3 - c**2 + c + 2. Let l(t) = -t**4 + t**3 + t**2 + t + 1. Let r = -4 + 2. Let x(s) = r*l(s) + y(s). Let x(z) = 0. Calculate z.
-1, 0
Let y(q) be the first derivative of 0*q - 12*q**2 - 12*q**3 - 2 - 3/5*q**5 - 9/2*q**4. Determine o so that y(o) = 0.
-2, 0
Suppose -2*j + 13 - 13 = 0. Factor j + 0*d**4 + 0*d + 3/4*d**3 + 0*d**2 - 3/4*d**5.
-3*d**3*(d - 1)*(d + 1)/4
Let r(l) = 6*l**3 + 3*l**2 + 6*l - 3. Let v(p) = 5*p**3 + 4*p**2 + 5*p - 2. Let a be 3 - (-2)/2*-1. Let d(w) = a*r(w) - 3*v(w). Factor d(b).
-3*b*(b + 1)**2
Determine r so that -5*r**3 - 4*r**2 - 13*r**2 - 10*r + 2*r**2 = 0.
-2, -1, 0
Let w be ((-3)/(-12))/(1/8). Let d(y) be the first derivative of -1/3*y**3 - 1 + y + 0*y**w. Factor d(m).
-(m - 1)*(m + 1)
Factor -15 - 16*x + 2*x**2 + 9 - 2 + 40.
2*(x - 4)**2
Factor -3 + 3*t - 3/4*t**2.
-3*(t - 2)**2/4
Let t(i) be the first derivative of 2*i**3/3 + i**2/4 + 7. Factor t(c).
c*(4*c + 1)/2
Suppose -2*r + 2*r - 3*r = 0. Find f, given that r*f**2 + 0 - 3/2*f**4 + 0*f - 3/2*f**3 = 0.
-1, 0
Let o(l) be the third derivative of -l**6/60 - l**5/15 + l**4/12 + 2*l**3/3 - 9*l**2. Let o(w) = 0. What is w?
-2, -1, 1
Let h(z) be the third derivative of z**5/15 + z**4/6 - 15*z**2. Suppose h(q) = 0. What is q?
-1, 0
Let q = 1393 + -5639/4. Let h = q - -17. Factor -h*n - 1/4 + 1/4*n**2 + 1/4*n**3.
(n - 1)*(n + 1)**2/4
Let u(s) = -4*s**2 - 10*s - 11. Let k(t) = -t**2 - 3*t - 4. Let h(z) = 7*k(z) - 2*u(z). Factor h(r).
(r - 3)*(r + 2)
Let z(j) be the third derivative of -j**5/20 - 5*j**4/4 - 25*j**3/2 + 15*j**2. Factor z(t).
-3*(t + 5)**2
Let u(b) be the second derivative of b**7/42 + b**6/15 - 2*b. Factor u(p).
p**4*(p + 2)
Let z(a) be the first derivative of 2*a**6/21 + 2*a**5/5 - 8*a**4/7 - 4*a**3/21 + 2*a**2 - 10*a/7 + 25. Find p such that z(p) = 0.
-5, -1, 1/2, 1
Factor 1/2*r**2 + r + 1/2.
(r + 1)**2/2
Let c(m) be the first derivative of 3*m**6/10 + 3*m**5/4 + m**4/4 - m**3/2 - 3*m - 6. Let k(i) be the first derivative of c(i). Factor k(g).
3*g*(g + 1)**2*(3*g - 1)
Let t(h) be the first derivative of -h**6/1440 + h**5/240 + h**4/32 + 3*h**3 + 5. Let d(f) be the third derivative of t(f). Factor d(k).
-(k - 3)*(k + 1)/4
Suppose 0*c + 15 = 5*x - 5*c, -9 = -3*x - 4*c. Let 2*b**x - 4*b**2 + 0*b**2 + 6*b**2 = 0. Calculate b.
-1, 0
Determine u, given that -1/5*u**2 + 4/5*u - 3/5 = 0.
1, 3
Suppose 5 = -4*y + 25. Let o(t) be the second derivative of 0*t**2 - 1/15*t**6 + 2*t + 0*t**3 - 1/42*t**7 + 0*t**4 - 1/20*t**y + 0. Factor o(u).
-u**3*(u + 1)**2
Let -68 - k**2 - k - 67 + 135 = 0. What is k?
-1, 0
Let v(f) be the first derivative of f**6/360 + f**5/30 + f**4/6 - f**3 - 1. Let w(z) be the third derivative of v(z). Solve w(t) = 0.
-2
Suppose 0 = -2*p + 2*v - 0 - 2, 0 = -4*p - 5*v - 22. Let o be ((-4)/48)/(p/9). Factor 0 - 1/2*m - o*m**2.
-m*(m + 2)/4
Let m(k) be the third derivative of -2*k**7/735 - k**6/210 + 2*k**5/35 + 2*k**4/21 - 16*k**3/21 + 30*k**2. Determine h so that m(h) = 0.
-2, 1, 2
Let z(y) = -7*y**5 - 3*y**4 + 15*y**3 + 11*y**2 + 9*y + 9. Let v(c) = 3*c**5 + c**4 - 7*c**3 - 5*c**2 - 4*c - 4. Let w(d) = 9*v(d) + 4*z(d). Factor w(r).
-r**2*(r + 1)**3
Let g = -73 - -125. Let w be (-4)/6 - g/(-6). Find m such that 5*m**2 + 2*m**4 - w*m + 7*m**2 + 6 - 4 - 8*m**3 = 0.
1
Solve -11*x**2 - 5/3*x**4 - 22/3*x**3 - 4/3 - 20/3*x = 0 for x.
-2, -1, -2/5
Let f(i) be the first derivative of -i**6/1620 - i**5/540 + 3*i**3 - 9. Let d(x) be the third derivative of f(x). Solve d(o) = 0 for o.
-1, 0
Let w = 74 - 45. Suppose v = -5*d + w - 2, 7 = -4*v + 3*d. Factor 0 + 2/9*u**v + 0*u.
2*u**2/9
Let v be 12*2/(-12)*-3. Factor 3*h**3 - 12*h**2 + 15*h - 2 - v + 2.
3*(h - 2)*(h - 1)**2
Let p = -11 + 13. Let x(o) be the first derivative of o**p - 1 - 4*o + 2/3*o**3. Factor x(a).
2*(a - 1)*(a + 2)
Suppose y + 5*a = -0*y + 7, a - 3 = -y. Factor f**3 - 2*f**3 + 3*f**3 + y*f**4.
2*f**3*(f + 1)
Let u(f) = -2*f - 4. Let b be u(-3). Factor -8*n**b + 5*n**2 + 2*n**2.
-n**2
Let y(f) = 2*f - 20. Let x be y(11). Solve 1/6*a**x - 1/3*a + 0 = 0.
0, 2
Let i = 19 + -16. Let l(t) be the first derivative of -1/5*t + 1/5*t**2 + 2 - 1/15*t**i. Factor l(v).
-(v - 1)**2/5
Let l(x) be the third derivative of -5*x**6/24 + x**5/6 + 25*x**4/24 - 5*x**3/3 + 30*x**2. Factor l(m).
-5*(m - 1)*(m + 1)*(5*m - 2)
Let p(f) be the first derivative of -f**4/24 - f**3/18 + f**2/6 + 4. Find a such that p(a) = 0.
-2, 0, 1
Let u be 3 + -11 + (-224)/(-24). Let 2/3*a - u*a**3 - 4/3*a**2 + 2/3*a**5 + 2/3*a**4 + 2/3 = 0. What is a?
-1, 1
Suppose 0 - 4/7*v + 3/7*v**3 + 0*v**2 - 1/7*v**4 = 0. Calculate v.
-1, 0, 2
Factor 3/5*m**4 - 9/5*m**2 + 0 + 0*m**3 - 6/5*m.
3*m*(m - 2)*(m + 1)**2/5
Let r(d) = d**2 + 6*d + 3. Let y be r(-6). Let m be y/(-4) - 51/(-36). Solve -3*v + 7/3*v**2 + m = 0 for v.
2/7, 1
Suppose -i**2 - 5*i**2 + 4*i**4 + 4*i**5 + 16*i + 16 - 14*i**2 + 0*i**2 - 20*i**3 = 0. What is i?
-2, -1, 1, 2
Suppose -25 = -2*m - 1. Let a be 12/10*40/m. Factor -2*w**4 - w**4 - a*w**2 - 2*w + 14*w**3 - 5*w**4.
-2*w*(w - 1)**2*(4*w + 1)
Factor 6*a + 8 + 3/2*a**2 + 1/8*a**3.
(a + 4)**3/8
Let k(i) = -3*i**3 - i**2 + 6*i + 1. Let o(c) = -6*c**3 - 2*c**2 + 11*c + 2. Let b(h) = -5*k(h) + 3*o(h). Factor b(f).
-(f - 1)*(f + 1)*(3*f + 1)
Let l = -9/8 + 11/8. What is q in -l*q + 0 + 1/4*q**2 = 0?
0, 1
Factor -5*o + o + 26*o**2 - 24*o**2 - 6.
2*(o - 3)*(o + 1)
Let u(d) be the second derivative of d**5/60 + d**4/4 + 3*d**3/2 + 5*d**2/2 - 5*d. Let y(v) be the first derivative of u(v). Factor y(g).
(g + 3)**2
Let c(l) = l**2 - 43*l - 144. Let k(w) = w**2 - 65*w - 216. Let p(m) = 7*c(m) - 5*k(m). Find j such that p(j) = 0.
-6
Let s(u) be the third derivative of -u**5/90 - u**4/18 - u**3/9 + 6*u**2. Factor s(b).
-2*(b + 1)**2/3
Let b(k) be the second derivative of k**4/102 - k**2/17 - 4*k. Solve b(z) = 0 for z.
-1, 1
Suppose 0*q + 4/9*q**4 - 2/9*q**3 + 0 - 2/9*q**5 + 0*q**2 = 0. What is q?
0, 1
Let f = -2461/5310 - -28/59. Let i(t) be the third derivative of -1/36*t**4 + 3*t**2 + 0*t + f*t**5 + 0 - 2/9*t**3. Solve i(y) = 0 