/35*j**5 - 3/7*j**2 - 9/14*j**3 - 4*j + 0 - 3/28*j**4. Find n, given that k(n) = 0.
-1, -1/4, 2
Let n(w) = 2*w**2 - 3*w + 1. Let f = 1 + -4. Let q(s) = 3*s**2 - 3*s + 2. Let a(m) = f*q(m) + 4*n(m). Find z, given that a(z) = 0.
-2, -1
Suppose 2 = -0*t + t. Let m be t + -4 + (8 - 1). Solve 3/4*l**3 - 1/4*l**2 + 0 + 0*l - 3/4*l**4 + 1/4*l**m = 0.
0, 1
Suppose 0 + 1/3*s**2 + 1/3*s = 0. Calculate s.
-1, 0
Let b(t) be the third derivative of -t**8/1008 + t**7/315 + t**6/360 - t**5/90 - 16*t**2. Find m such that b(m) = 0.
-1, 0, 1, 2
Let f be (-238)/(-140) + (-9)/30. Determine d so that 2/5*d**4 + f*d**3 + 1/5 + 9/5*d**2 + d = 0.
-1, -1/2
Let t = 151/4 + -37. Factor 3/4*a**2 - 3/2*a + t.
3*(a - 1)**2/4
Let q(g) be the first derivative of -g**7/840 - g**6/360 + g**5/120 + g**4/24 - g**3 + 1. Let x(c) be the third derivative of q(c). Factor x(y).
-(y - 1)*(y + 1)**2
Let b(d) be the first derivative of -1/21*d**3 - 1/7*d**2 + 1/14*d**4 + 1/7*d - 3. Factor b(a).
(a - 1)*(a + 1)*(2*a - 1)/7
Let q(r) be the third derivative of r**5/75 + 2*r**4/15 + 2*r**3/5 - 8*r**2. Factor q(n).
4*(n + 1)*(n + 3)/5
Factor -6 - 2/3*q**2 - 4*q.
-2*(q + 3)**2/3
Let t(i) be the third derivative of 1/24*i**3 + 0 + 1/480*i**6 - 1/240*i**5 - 1/96*i**4 + 0*i - 3*i**2. Suppose t(v) = 0. Calculate v.
-1, 1
Let r = -10 + 12. Let 12*b**3 + 12 - 6*b**2 - 8*b**2 + 5*b**r - 3*b**4 - 12*b = 0. Calculate b.
-1, 1, 2
Let z(h) be the second derivative of -2*h**6/15 + 8*h**5/5 - 20*h**4/3 + 32*h**3/3 - 37*h - 2. Solve z(l) = 0.
0, 2, 4
Let w be 9/12 + -4 - (2 - 6). Find s, given that -3/2 - 9/4*s + 3/4*s**4 + 9/4*s**3 + w*s**2 = 0.
-2, -1, 1
Let x be 32/12*6/4. Let 2*n**2 + 3*n**3 - 4*n**3 + 4*n - 3*n - 2*n**x = 0. What is n?
-1, -1/2, 0, 1
Solve -4/13*c**2 - 2/13*c - 2/13*c**3 + 0 = 0.
-1, 0
Let q be 9/(-3) - (-275)/91. Let u = q - -85/273. Factor 0 - 1/3*t**3 + 0*t + 0*t**2 - u*t**5 + 2/3*t**4.
-t**3*(t - 1)**2/3
Let i(u) be the third derivative of 5*u**8/24 - 73*u**7/105 - 23*u**6/75 + 152*u**5/75 - 32*u**4/15 + 16*u**3/15 - 28*u**2. Find x, given that i(x) = 0.
-1, 2/7, 2/5, 2
Suppose 5*t + 4 - 39 = 0. Let a be 10*(2 - 1)/t. Find i, given that a*i + 2/7 + 8/7*i**2 = 0.
-1, -1/4
Let d = 13 - 11. Factor 4*f**d + 1 - 2*f - 3*f**2 + 0*f**2.
(f - 1)**2
Suppose -32*i + 12 = -26*i. Factor -1/2*k**i + 1/2 + 0*k.
-(k - 1)*(k + 1)/2
Let b = 8 + -5. Let 8*j**3 + j - 7*j**4 + b*j**4 + 4*j**3 - 4*j**5 + 20*j**2 + 7*j = 0. What is j?
-1, 0, 2
Let y(l) be the third derivative of l**7/210 - l**6/160 - l**5/240 - 2*l**2. Factor y(p).
p**2*(p - 1)*(4*p + 1)/4
What is w in 1 + 7*w**2 - 3*w**2 + 37*w - 53*w + 15 = 0?
2
Let l = 26/3 + -101/12. Factor -1/4*h**3 + l + 1/4*h - 1/4*h**2.
-(h - 1)*(h + 1)**2/4
Let x be (-2)/(-2) - -1*15. Let q be ((-15)/(-20))/(18/x). What is r in -2/3*r + 0 + q*r**4 - 2/3*r**2 + 2/3*r**3 = 0?
-1, 0, 1
Let c(p) = -p**3 + 2*p**2 + 3*p - 6. Let o be c(2). Let v be 0 - 0 - 4/(-10). Factor -4/5*d**2 + v*d**3 + o + 0*d.
2*d**2*(d - 2)/5
Let w(i) be the first derivative of -i**4/12 - i**3/2 - i**2 - 4*i - 1. Let n(u) be the first derivative of w(u). Factor n(k).
-(k + 1)*(k + 2)
Let q = 1 + 2. Let -4*g**5 - 3*g**5 + 3*g**5 - 8*g**4 + g**3 - 5*g**q = 0. Calculate g.
-1, 0
Factor 4*a**2 + 8 + 0*a + 4*a - 16*a.
4*(a - 2)*(a - 1)
Let u(x) be the second derivative of -x**4/42 + 2*x**3/21 - x**2/7 - 7*x. Factor u(y).
-2*(y - 1)**2/7
Let v = 1 - 0. Let m(t) = -2*t**2 - 2*t + 1. Let z(d) = -1 + 6 + 4*d - 3*d - 6 - d**3. Let h(b) = v*m(b) + z(b). Factor h(w).
-w*(w + 1)**2
Let v(n) be the second derivative of -1/63*n**7 + 1/18*n**4 + 0*n**3 + 0*n**2 + 1/15*n**6 - 1/10*n**5 - n + 0. What is i in v(i) = 0?
0, 1
Let o be (2 - 1)/(5/(-5)). Let a be (0/1 + 0)/o. Factor a*n**2 + 4*n**2 - 3*n**2 - 2*n**2 - n**4 + 2*n**3.
-n**2*(n - 1)**2
Let i(u) = u**5 - u**4 + 1. Let d(g) = 4*g**4 - 8*g**3 + 4*g**2 + 1. Let z(y) = -5*d(y) + 5*i(y). Let z(m) = 0. What is m?
0, 1, 2
Let g(w) = 6*w - 3. Let r(l) = -5*l + 3. Let h(x) = 4*g(x) + 5*r(x). Let s be h(0). Solve -2*u**5 + 2*u**4 - u**3 + 2*u**s + 3*u**5 = 0.
-1, 0
Determine v so that 1/3*v**3 + 1/3*v + 0 - 2/3*v**2 = 0.
0, 1
Suppose 0 = 2*q - 5*n - 25, 3*q = -4*n + 2*n - 10. Find u such that 4/9*u + 2/9*u**3 + q - 2/3*u**2 = 0.
0, 1, 2
Let m(x) be the first derivative of 3*x**4 + 7*x**3 + 3*x**2 - 3*x + 24. Factor m(p).
3*(p + 1)**2*(4*p - 1)
Let f = 146/9 - -131/18. Let v = f + -22. Solve -v*g**3 - 3/2*g**2 - 1/2*g**4 + 0 - 1/2*g = 0.
-1, 0
Let j(d) be the third derivative of d**7/420 - d**6/60 + d**5/20 - d**4/12 + d**3/12 - 4*d**2. Suppose j(t) = 0. What is t?
1
Suppose -3*t + 29 = 17. Factor 3/4*c**3 + 0*c**2 + 0 + 0*c - 3/4*c**t.
-3*c**3*(c - 1)/4
Suppose 0*l = 4*l - 8. Factor -l*w**3 - 6*w**4 + 6*w**2 + 2*w**4 + 10*w + 4 + 2*w**4.
-2*(w - 2)*(w + 1)**3
Let u(s) be the first derivative of s**6/9 - s**4/2 - 4*s**3/9 - 2. Factor u(h).
2*h**2*(h - 2)*(h + 1)**2/3
Let w(h) be the first derivative of -3*h**5/5 + 9*h**4/4 - 3*h**3 + 3*h**2/2 + 8. Factor w(k).
-3*k*(k - 1)**3
Let 0 - 4/7*t**4 + 0*t**3 - 2/7*t**5 + 2/7*t + 4/7*t**2 = 0. Calculate t.
-1, 0, 1
Suppose 61*j - 56*j = 25. Factor 16/3*g**2 + 0 - 64/3*g**3 + 100/3*g**j + 20/3*g**4 + 0*g.
4*g**2*(g + 1)*(5*g - 2)**2/3
Let h = -155/21 - -23/3. Factor -24/7*a - 8/7 - 26/7*a**2 - 12/7*a**3 - h*a**4.
-2*(a + 1)**2*(a + 2)**2/7
Let w be ((-1)/(-2))/(5 - 174/36). Let -1/3 + 0*u + 2/3*u**2 - 1/3*u**4 + 0*u**w = 0. Calculate u.
-1, 1
Let m(f) be the first derivative of 1 - 2/15*f**3 + 2/5*f + 0*f**2. Find x, given that m(x) = 0.
-1, 1
Suppose 0 = -3*y + 4*y. Let v(z) be the third derivative of -1/30*z**5 + 0*z**3 + 0 + z**2 + y*z**4 + 0*z - 4/105*z**7 - 1/12*z**6. Find i, given that v(i) = 0.
-1, -1/4, 0
Let p(s) be the second derivative of 15*s**7/7 + 19*s**6/4 - 4*s**5 - 5*s**4/8 + 5*s**3/6 + 3*s. Find c such that p(c) = 0.
-2, -1/4, 0, 1/3
Let c(d) be the second derivative of 0 - 1/60*d**4 - 1/100*d**5 + 1/150*d**6 + 1/210*d**7 + 0*d**2 + 0*d**3 + d. Solve c(s) = 0.
-1, 0, 1
Let f(o) be the third derivative of -o**7/42 + 7*o**5/12 - 5*o**4/4 + 46*o**2. Factor f(n).
-5*n*(n - 2)*(n - 1)*(n + 3)
Suppose -3*r + 13 = -p + 7, -3*p + 4 = 2*r. Factor p - 2/9*q**2 + 2/9*q**3 + 0*q.
2*q**2*(q - 1)/9
Let t be 1/(-3) - (-14)/6. Suppose -5*z = -5*r - 25, 3*z - 15 + 0 = r. Suppose 5 - x**z + t*x**3 - x + x**4 - 3 - 2*x**2 - 1 = 0. Calculate x.
-1, 1
Let w(t) be the first derivative of -1/10*t**4 - 4/15*t**3 + 2/5*t + 4 + 1/30*t**6 + 1/10*t**2 + 2/25*t**5. Find d such that w(d) = 0.
-2, -1, 1
Let s = -169/330 + 6/11. Let n(k) be the second derivative of 1/100*k**5 + s*k**4 + 0 + 3*k - 1/30*k**3 - 1/5*k**2. Determine j, given that n(j) = 0.
-2, -1, 1
Let h(g) be the first derivative of g**6/2 + 3*g**5 + 27*g**4/4 + 7*g**3 + 3*g**2 - 6. What is m in h(m) = 0?
-2, -1, 0
Factor 0 + 1/7*i**3 + 0*i - 1/7*i**2.
i**2*(i - 1)/7
Let k(o) be the second derivative of -o**6/165 - o**5/110 + o**4/132 - 4*o**2 + 6*o. Let w(i) be the first derivative of k(i). Suppose w(s) = 0. Calculate s.
-1, 0, 1/4
Let a be 6/9 + 31/3. Suppose 3*g = -5*r + 2*g + a, -4*g = 2*r - 8. Factor -q**3 + q**2 - 1 + r*q**3 + q - 2*q**3 + 0*q.
-(q - 1)**2*(q + 1)
Let j be (-7)/(56/(-20)) - 1. Factor 0 - j*q + 0*q**2 + 3/2*q**3.
3*q*(q - 1)*(q + 1)/2
Suppose -20 = -4*v, -z + v = -6*z + 15. Let j = -15 + 61/4. Factor -1/4 - j*c**z + 1/2*c.
-(c - 1)**2/4
Let d(m) = -9*m**5 - 5*m**4 + 9*m**3 + 5*m**2 + 4*m - 4. Let p(j) = 10*j**5 + 5*j**4 - 10*j**3 - 5*j**2 - 5*j + 5. Let c(o) = -5*d(o) - 4*p(o). Factor c(u).
5*u**2*(u - 1)*(u + 1)**2
Let i(a) be the first derivative of 4*a**6/15 + a**5/2 - a**4/2 - 5*a**3/3 - a**2 - a + 3. Let o(b) be the first derivative of i(b). Solve o(q) = 0 for q.
-1, -1/4, 1
Let p(q) be the second derivative of -q**7/252 + q**5/120 + 6*q. Factor p(j).
-j**3*(j - 1)*(j + 1)/6
Let o(b) be the second derivative of b**4/8 - 3*b**2 + 8*b. Factor o(n).
3*(n - 2)*(n + 2)/2
Let z(s) be the third derivative of -1/504*s**8 + 1/9*s**5 - 1/180*s**6 - 4/315*s**7 + 0*s + 1/9*s**4 + s**2 - 8/9*s**3 + 0. Factor z(n).
-2*(n - 1)**2*(n + 2)**3/3
Let y = -157 - -315/2. Determine p, given that 1/2*p + 1 - 3/2*p**2 - 1/2*p**3 + y*p**4 = 0.
-1, 1, 2
Let t = -34 - -36. Suppose -2/9*f**3 + 2/3*f**t + 2/9 - 2/3*f = 0. What is f?
1
What is c in -49*c - 2*c**2 + 4 