ond derivative of -1/70*x**5 + 0*x**2 + 0*x**3 + 1/42*x**4 + 0 + 4*x. Factor c(y).
-2*y**2*(y - 1)/7
Determine r so that 21/4*r - 15/4*r**2 - 3/2 = 0.
2/5, 1
Let s(w) be the second derivative of w**5/270 - 5*w**2/2 + 2*w. Let t(r) be the first derivative of s(r). Factor t(g).
2*g**2/9
Solve 2 + 6*i - 3*i**2 + 6*i - 7*i = 0.
-1/3, 2
Let k(x) = -14*x**2 - 6*x + 17. Let r(c) = 5*c**2 + 2*c - 6. Let h(i) = -6*k(i) - 17*r(i). Determine s so that h(s) = 0.
0, 2
Let i(g) be the third derivative of g**6/60 + 7*g**5/90 + g**4/18 - 10*g**2. Factor i(b).
2*b*(b + 2)*(3*b + 1)/3
Let p(w) be the first derivative of -3/2*w**2 - 1/3*w**3 - 3 - 2*w. Suppose p(a) = 0. What is a?
-2, -1
Let g be 4/(-54)*(-9)/3. Let r(x) be the first derivative of -2 - 1/6*x - 1/4*x**2 + g*x**3. Solve r(t) = 0.
-1/4, 1
Let j(f) = -8*f**2 - f - 2. Let u be j(-2). Let s be (-1)/(-12)*u/(-6). Factor s - 8/9*a**3 + 8/9*a**2 + 14/9*a.
-2*(a - 2)*(2*a + 1)**2/9
Let l(o) be the third derivative of 5*o**8/336 + o**7/14 + o**6/12 - 71*o**2. Factor l(n).
5*n**3*(n + 1)*(n + 2)
Suppose 4/3*o**3 + 8/3*o**2 - 2*o**5 - 8/3*o**4 + 2/3*o + 0 = 0. Calculate o.
-1, -1/3, 0, 1
Let x(u) = 6*u**2 - 6*u + 9. Let o(l) = -3*l**2 + 3*l - 4. Let p(a) = -9*o(a) - 4*x(a). Factor p(t).
3*t*(t - 1)
Let t(b) be the third derivative of -b**6/240 + b**5/40 - b**3/3 - 27*b**2. Factor t(j).
-(j - 2)**2*(j + 1)/2
Let t(x) = x**3 - 21*x**2 - 22*x + 2. Let c be t(22). Let v(q) be the first derivative of 2*q**3 + 3*q**c + 2*q + 1/2*q**4 - 4. Factor v(p).
2*(p + 1)**3
Solve -10/9*w**3 - 2/9*w**4 - 16/9*w**2 + 0 - 8/9*w = 0.
-2, -1, 0
Suppose 4*b - 15 + 3 = -2*g, 0 = -5*g. Suppose -3 = -b*i + 6. Factor 3*f + i + 0*f**3 + 0*f - 3*f**2 - 3*f**3 + 0*f.
-3*(f - 1)*(f + 1)**2
Let g(k) be the first derivative of -3/4*k**4 + 0*k + 0*k**2 + 3/5*k**5 + 1/3*k**3 - 3 - 1/6*k**6. Factor g(o).
-o**2*(o - 1)**3
Suppose 5*y = i - 5*i + 30, -y + 27 = 5*i. Suppose 7*l = y*l. Factor 0 - 2/3*k**3 + l*k + 2/3*k**2.
-2*k**2*(k - 1)/3
Let b = 5 + -3. Let z(g) = 3*g**2 - 2*g - 2. Let o(i) = 16*i**2 - 11*i - 11. Let k(d) = b*o(d) - 11*z(d). Find q such that k(q) = 0.
0
Let p(a) be the third derivative of -a**8/1008 - a**7/105 - a**6/30 - 2*a**5/45 + a**2. Factor p(h).
-h**2*(h + 2)**3/3
Let i(n) be the second derivative of -9/20*n**5 + 1/3*n**3 + 7/12*n**4 + 0*n**2 - 2*n + 0. Factor i(p).
-p*(p - 1)*(9*p + 2)
Let q be (-1*1)/(4/(-80)). Suppose -n**2 + 1 + q*n + 0*n**2 - 20*n = 0. Calculate n.
-1, 1
Let i(d) = 5*d + 20. Let r be i(-4). What is o in 0 + r*o**2 - 3/4*o**3 + 3/4*o = 0?
-1, 0, 1
Solve 16/5 - 8*c - 52/5*c**2 + 50*c**3 + 18*c**5 - 264/5*c**4 = 0 for c.
-2/5, 2/3, 1
Let q(u) be the second derivative of -u**7/11340 - u**6/1080 - u**5/270 + 2*u**4/3 + u. Let i(g) be the third derivative of q(g). Suppose i(a) = 0. Calculate a.
-2, -1
Let o be (-1 - -4)*1 + 1. Let n(b) be the first derivative of -2/25*b**5 + 0*b + 2/15*b**3 + 1/5*b**2 - 1/10*b**o + 1. Factor n(c).
-2*c*(c - 1)*(c + 1)**2/5
Let t(w) be the first derivative of w**6/90 + w**5/30 + w**4/36 - 6*w - 4. Let h(v) be the first derivative of t(v). Determine i, given that h(i) = 0.
-1, 0
Let f be (-3)/(180/32)*(-12)/8. Suppose f*x + 0 - 2/5*x**2 = 0. What is x?
0, 2
Let p(d) = -2*d**2 + 2*d + 2. Let z(b) = -b**3 + 11*b**2 - 11*b - 11. Let q(w) = -11*p(w) - 2*z(w). Factor q(n).
2*n**3
Let q = 167/464 + -5/29. Let r = q + 23/48. Solve -2*p**2 + 2*p**3 - 2/3*p**4 + 0 + r*p = 0.
0, 1
Let q(i) be the first derivative of 8/5*i**5 - 2 + 0*i**2 - 2/3*i**3 - 3/2*i**4 + 0*i. Suppose q(u) = 0. What is u?
-1/4, 0, 1
Let o(d) be the second derivative of d**8/5040 - d**7/1260 + d**6/1080 + d**3/6 + 4*d. Let r(n) be the second derivative of o(n). Determine u so that r(u) = 0.
0, 1
Suppose 0 = q - m + 3, 3*q + 4 = 4*m - 8. Let f(y) be the second derivative of 3/2*y**2 - 3/8*y**5 + q + 0*y**3 - 21/16*y**4 + 2*y. Find z, given that f(z) = 0.
-2, -1/2, 2/5
Let x be 0/(-2) + 4 + -7. Let g(b) = 3*b**4 - 6*b + 3. Let j(c) = -6*c**4 - c**3 + c**2 + 11*c - 5. Let l(w) = x*j(w) - 5*g(w). Factor l(d).
3*d*(d - 1)*(d + 1)**2
Let p = -66 - -69. Let b(r) be the first derivative of 8/9*r**2 - 88/27*r**p + 2 + r**6 + 0*r + 5*r**4 - 18/5*r**5. Find f such that b(f) = 0.
0, 2/3, 1
Suppose 0*p - 5*h = -4*p, 4*p - 3*h = -8. Let r be -1 + 1 + 7 + p. Factor 4*n**r - 2*n**2 - 4*n**2.
-2*n**2
Let q(l) be the second derivative of -l**8/840 - l**7/525 + l**6/300 + l**5/150 - l**2/2 - 2*l. Let p(j) be the first derivative of q(j). Solve p(h) = 0 for h.
-1, 0, 1
Let h(s) be the first derivative of 2/35*s**5 + 0*s**2 + 0*s - 3/14*s**4 + 4/21*s**3 + 2. Factor h(x).
2*x**2*(x - 2)*(x - 1)/7
Let o(u) = u**2 - 8*u - 5. Let t be o(9). Let b(x) be the second derivative of x - 1/7*x**3 + 2/7*x**2 + 0 + 1/42*x**t. Factor b(n).
2*(n - 2)*(n - 1)/7
Suppose n = 6*n - 15. Solve -4*h**4 + h**3 + 2*h**4 - 2*h**n + h**4 = 0.
-1, 0
Let b(w) = w**5 - w**3 + w**2 - w - 1. Let m(y) = 5*y**5 + 5*y**4 + 10*y**2 - 10*y - 10. Let a(r) = 10*b(r) - m(r). Factor a(x).
5*x**3*(x - 2)*(x + 1)
Factor 0*n**5 + 4*n**5 - 3*n**3 - n**5.
3*n**3*(n - 1)*(n + 1)
Let l(b) be the third derivative of -3*b**2 - 1/45*b**6 - 5/36*b**4 + 4/45*b**5 + 0*b + 1/9*b**3 + 0. Determine m, given that l(m) = 0.
1/2, 1
Let w be (26/28)/(-13)*-12. What is a in -3/7*a**3 - w - 12/7*a**2 - 15/7*a = 0?
-2, -1
Solve 1/3*a**4 + 0*a + 0 + 2/3*a**3 + 1/3*a**2 = 0 for a.
-1, 0
Suppose 2 = -3*w + 4*w. Factor -r**w - 11 + 11 - 2*r.
-r*(r + 2)
Let d(l) be the second derivative of 0*l**3 + 1/60*l**5 + 1/24*l**4 + 1/2*l**2 - l + 0. Let w(x) be the first derivative of d(x). Factor w(i).
i*(i + 1)
Let y be 5/10*(-8)/(-1). Find p such that -p**y - 3*p - 4*p**4 - 4 + 2 + 7*p**2 + 3*p**3 = 0.
-1, -2/5, 1
Suppose -3*b - 7 = 3*n - 22, -n - 3 = -b. What is o in -b*o**5 + 14*o**4 - 2*o**2 + 4*o - 12*o**3 + o**5 - o**5 = 0?
-1/2, 0, 1, 2
Let m(q) be the second derivative of 0*q**3 + 0 + 0*q**2 - 1/3*q**5 + 1/9*q**4 - 2*q + 1/10*q**6. Solve m(d) = 0 for d.
0, 2/9, 2
Let z(u) be the second derivative of -u**7/105 + u**5/10 - u**4/6 - 9*u**2/2 + 6*u. Let y(k) be the first derivative of z(k). Determine r, given that y(r) = 0.
-2, 0, 1
Let o(f) be the third derivative of -f**8/840 + 2*f**7/525 + f**6/150 - 4*f**5/75 + 7*f**4/60 - 2*f**3/15 + 3*f**2. Factor o(b).
-2*(b - 1)**4*(b + 2)/5
Let i be -5 + 5 + 0 + 0. Suppose -2*u - 1 + 7 = 0. Solve -1/2*z**2 - 1/2*z**4 + i*z + z**u + 0 = 0.
0, 1
Let v(n) be the second derivative of -n**4/2 + 3*n**3/2 - 3*n**2/2 - 2*n. Let i(f) = 7*f**2 - 10*f + 4. Let t(s) = 3*i(s) + 4*v(s). Factor t(c).
-3*c*(c - 2)
Factor -6*o + 103 - 36*o**2 - 27*o - 109.
-3*(3*o + 2)*(4*o + 1)
Let t = -76 + 76. Let b(v) be the first derivative of t*v**2 + 1/12*v**3 + 1/4*v**4 + 0*v + 3/20*v**5 + 3. Factor b(o).
o**2*(o + 1)*(3*o + 1)/4
Let h be 8/60*(-5)/(-6). Let j(a) be the second derivative of 0 + 1/10*a**5 - 2/45*a**6 + 1/18*a**3 + 0*a**2 - h*a**4 + 1/126*a**7 + 3*a. What is q in j(q) = 0?
0, 1
Let j(h) be the third derivative of h**6/540 - h**5/30 + h**4/4 - 2*h**3/3 - 3*h**2. Let x(b) be the first derivative of j(b). What is q in x(q) = 0?
3
Let a = 33 - 17. Suppose 4*v - a = 4*p, -p = v - 0*v. Let -5*n**2 - 3*n - n**3 + 1 + 7*n**2 + n**v = 0. Calculate n.
1
Suppose 90 - 18 = 4*j. Factor 4*c**2 - j - 3*c**2 - 12*c - c**2 - 2*c**2.
-2*(c + 3)**2
Let m(o) = -o**3 - 7*o**2 + 8*o + 10. Let c be m(-8). Let p be (3 + 0)*c/6. Suppose 9*s**2 - 3*s + s - p*s**2 = 0. What is s?
0, 1/2
Suppose j + j - 2 = 0. Let t be (15/(-6) - -2) + j. Suppose 0*w**2 + t*w + 0 - 1/2*w**3 = 0. What is w?
-1, 0, 1
Let a = -109 - -234. Let p be 2 - 5/(a/45). Factor q**2 + 4/5 - p*q**3 - 8/5*q.
-(q - 2)**2*(q - 1)/5
Suppose 4*u + 2*k = -14, 43 = -3*u + k + 4*k. Let t = u + 8. Factor -4*d**4 - 2 + 4*d**4 + 4*d**t - 2*d**4.
-2*(d - 1)**2*(d + 1)**2
Determine z, given that -3*z - 9*z + 94*z**4 - 103*z**4 + 24*z**2 + 105*z**3 - 108*z**5 = 0.
-2/3, 0, 1/4, 1
Let q = -850 - -852. Determine i so that 93/2*i**q + 175/4*i**3 + 49/4*i**4 + 2 + 17*i = 0.
-2, -1, -2/7
Suppose -8/5*j - 4/5*j**2 + 2/5*j**3 + 16/5 = 0. Calculate j.
-2, 2
Let f(m) = 3*m**4 - 12*m**3 - 9*m**2 + 6. Let r(c) = -2*c**4 + 12*c**3 + 10*c**2 + c - 5. Let q(x) = 5*f(x) + 6*r(x). Solve q(p) = 0.
-2, -1, 0
Let y(o) = o**2 + 7*o + 6. Let k be y(-6). Supp