. Determine w so that -11*w - 36 - w + 5*w**y + 2*w**3 + 0*w**4 - w**4 + 6*w**2 = 0.
-2, 3
Let -142/3*t**2 - 203*t - 147 + 7/3*t**4 - 1/3*t**5 + 34/3*t**3 = 0. What is t?
-3, -1, 7
Let b(f) be the second derivative of -6*f**2 + 4/5*f**5 + 0 - 43*f - 10/3*f**4 - 2/45*f**6 + 56/9*f**3. Factor b(d).
-4*(d - 9)*(d - 1)**3/3
Let p be 57 + (-1 + 0)*0. Suppose p - 12 = 5*i + 5*o, 0 = 2*i + o - 14. Factor 2*s**2 + 4 - 1 - i.
2*(s - 1)*(s + 1)
Let a be -3*(-301)/12771 + 1/9 + 0. Suppose a*f - 4/11*f**2 - 2/11*f**5 + 0 + 4/11*f**4 + 0*f**3 = 0. What is f?
-1, 0, 1
Let c(b) be the third derivative of b**8/1400 + b**7/300 + b**6/450 + 5*b**3/6 + 12*b**2. Let z(i) be the first derivative of c(i). Factor z(n).
2*n**2*(n + 2)*(3*n + 1)/5
Let i be (425/5)/(-17) + (-22)/(-4). Determine y so that -y + 1/2*y**4 + i*y**5 - 5/2*y**2 + 0 - 3/2*y**3 = 0.
-1, 0, 2
Let m(y) = -y**3 + 6*y**2 + 3. Let i be m(6). Let a be 3 + (-17)/i*1/2. Suppose a*d**3 + 0 + 0*d - 1/3*d**5 - 1/6*d**4 + 0*d**2 = 0. Calculate d.
-1, 0, 1/2
Determine c so that 3456/7 + 6/7*c**2 - 288/7*c = 0.
24
Let j be (-1029)/(-294) + (-14)/4. Factor 0*a**2 + 0 - 1/4*a**3 + j*a.
-a**3/4
Let r be -3*(-70)/21*(-3)/(-25). Find a such that -2/5*a**3 + 2/5*a**4 - 4/5 + 2*a - r*a**2 = 0.
-2, 1
Let c = 4697 + -4694. Factor 1/8*q**4 + 0*q - 1/4*q**2 + 1/8 + 0*q**c.
(q - 1)**2*(q + 1)**2/8
Let a(q) be the second derivative of -q**4/66 + 16*q**3/11 - 576*q**2/11 + 2*q - 22. Factor a(s).
-2*(s - 24)**2/11
Let x = 289/6 - 287/6. Factor x*a**2 + 0*a**3 - 1/6 - 1/6*a**4 + 0*a.
-(a - 1)**2*(a + 1)**2/6
Let m(i) be the third derivative of i**6/540 - 7*i**5/135 - 5*i**4/36 + 63*i**2. Factor m(l).
2*l*(l - 15)*(l + 1)/9
Factor 5/3*w - 3/2 - 1/6*w**2.
-(w - 9)*(w - 1)/6
Let b = -8 + -7. Let i = -12 - b. Factor 4*a - 4*a - 5 + 9*a**2 + 3*a - 3*a**i - 4.
-3*(a - 3)*(a - 1)*(a + 1)
Let w be (-288)/(-27)*15/45. What is c in -2/9*c**3 - w*c - 16/9*c**2 + 0 = 0?
-4, 0
Let q be (-2 + (-15)/(-6))/(3/12). Let b be ((-18)/6 + 7)/(q/3). Let -3/4*i**3 - b*i - 15/4*i**2 - 3 = 0. What is i?
-2, -1
Let r(f) be the first derivative of -14 + 8*f**2 + 12*f + 4/3*f**3. Let r(t) = 0. What is t?
-3, -1
Suppose -4*v + 36999 = -0*v + 36991. Determine c, given that 2/9*c**v - 10/9*c + 8/9 = 0.
1, 4
Let t(a) be the second derivative of a**5/10 - 7*a**4/6 - a**3/3 + 7*a**2 - 17*a + 4. Let t(o) = 0. Calculate o.
-1, 1, 7
Let d(p) be the second derivative of p**6/60 - p**5/40 - p**4/24 + p**3/12 - 67*p - 2. Determine f, given that d(f) = 0.
-1, 0, 1
Let o(g) be the first derivative of g**4/6 + 37*g**3/21 + 10*g**2/7 - 25*g - 12. Let i(t) be the first derivative of o(t). Solve i(u) = 0 for u.
-5, -2/7
Let a(n) = 15*n**2 + 68*n + 45. Let x(g) = 10*g**2 + 45*g + 30. Let i = 34 + -42. Let p(t) = i*x(t) + 5*a(t). Determine r so that p(r) = 0.
-3, -1
Let l(w) = -w**3 - 2*w**2 - 2*w - 1. Let s(i) = i + 5. Let t be s(-7). Let d be l(t). Factor 1/3*b - 2/3*b**2 + 0 - b**d.
-b*(b + 1)*(3*b - 1)/3
Let r(z) be the second derivative of z**5/170 + 5*z**4/102 - 4*z - 7. Suppose r(k) = 0. Calculate k.
-5, 0
Let p(n) = -n**3 - 5*n**2 - 2*n - 6. Let o be p(-5). Factor 2 + 0*c**3 + 25*c**4 + o*c**2 - 20*c**3 - 2.
c**2*(5*c - 2)**2
Let j(w) = -5*w**2 - 2. Suppose 3 = -2*q - t + 11, -4*q + 24 = 4*t. Let p(s) = -25*s**2 - 11. Let c(l) = q*p(l) - 11*j(l). Factor c(d).
5*d**2
Let p = -13 + 23. Suppose 0 = 2*d - d + 2, 0 = -2*r + 2*d + 24. Factor -p*c**2 - 9*c - 4 - r*c**3 - 9*c - 14*c**2.
-2*(c + 1)**2*(5*c + 2)
Suppose 0*d - 16/7*d**2 + 2/7*d**5 + 10/7*d**4 + 4/7*d**3 + 0 = 0. What is d?
-4, -2, 0, 1
Let c(o) be the third derivative of -o**8/40320 - 2*o**4/3 - 2*o**2. Let a(j) be the second derivative of c(j). Factor a(u).
-u**3/6
Let u(q) = 12*q**2 + 5*q - 4. Let o(a) = -23*a - 28 + 59*a + 99*a**2 - 15*a**2. Let g(x) = 3*o(x) - 20*u(x). Factor g(s).
4*(s + 1)*(3*s - 1)
Solve -p + 0 - 1/4*p**3 - 5/4*p**2 = 0.
-4, -1, 0
Let z(q) be the first derivative of q**6/45 - 12*q**5/5 + 1933*q**4/30 + 184*q**3 + 2116*q**2/15 + 137. Let z(r) = 0. Calculate r.
-1, 0, 46
Let o be -3 + 6/63*(-5691)/(-180). Let x(v) be the third derivative of 10*v**2 + 0 + 0*v + 1/36*v**4 - o*v**5 + 0*v**3. Factor x(i).
-2*i*(i - 1)/3
Determine h, given that -6/7*h - 8/7*h**3 + 0 - 18/7*h**5 + 4*h**2 - 60/7*h**4 = 0.
-3, -1, 0, 1/3
Suppose 108*p = 184*p. Determine v so that v - 1/4*v**2 + p = 0.
0, 4
Let s be 26/(-2) + (-2 - -6). Let l be (-15)/s - 2/(-6). Factor 38*n - 2*n**2 - 53*n - 12 - n**l.
-3*(n + 1)*(n + 4)
Suppose 1/2*q**2 + 3/2 + 2*q = 0. What is q?
-3, -1
Let w(a) be the second derivative of a**6/75 - a**5/10 - a**4/5 - 22*a + 1. Factor w(x).
2*x**2*(x - 6)*(x + 1)/5
Let n = 365/3 + -3649/30. Let b(p) be the second derivative of -7/90*p**6 + 7/36*p**4 + 0 + 0*p**2 - 1/9*p**3 + 6*p + n*p**5. Solve b(r) = 0.
-1, 0, 2/7, 1
Let n(h) be the third derivative of -h**7/210 + h**6/10 - h**5/2 - 25*h**4/6 + 125*h**3/2 - 58*h**2. Factor n(k).
-(k - 5)**3*(k + 3)
Find n, given that -2/7*n**3 - 450/7*n + 0 + 60/7*n**2 = 0.
0, 15
Let v = -15 - -20. Solve 308 - 10*d**2 + v*d**3 + 5*d - 308 = 0.
0, 1
Let s(x) be the first derivative of 7*x**6/450 - 13*x**5/300 - x**4/60 - x**3/3 + 13. Let o(t) be the third derivative of s(t). Factor o(d).
2*(d - 1)*(14*d + 1)/5
Let p(g) be the second derivative of -3*g**5/20 + 5*g**4/3 - 11*g**3/6 - 3*g**2 + 6*g. Determine d so that p(d) = 0.
-1/3, 1, 6
Factor -22896/23*m**2 - 6/23*m**4 - 264384/23*m + 186624/23 - 28*m**3.
-2*(m + 36)**3*(3*m - 2)/23
Let o(b) be the first derivative of 2/33*b**3 - 5 - 2/55*b**5 + 0*b - 1/66*b**6 + 0*b**4 + 1/22*b**2. Determine g, given that o(g) = 0.
-1, 0, 1
Let y be 36/24 - (-1 - 15). Solve 11*b - 2 + 25/4*b**3 - y*b**2 = 0.
2/5, 2
Let g(o) be the first derivative of 3/8*o**4 + 3/4*o**2 + 3/4*o**3 + 3 + 3/40*o**5 + 4*o. Let y(k) be the first derivative of g(k). Let y(x) = 0. What is x?
-1
Find w such that -52/3*w**4 + 2/3*w**5 + 0 + 392/3*w + 94*w**3 + 728/3*w**2 = 0.
-1, 0, 14
Suppose -4*w + 40 = w - 3*v, 0 = -3*w + 3*v + 24. Factor 653 - 653 + 12*y**2 + w*y + 4*y**3.
4*y*(y + 1)*(y + 2)
Let r be (-2)/(-4)*-1 - 336/(-560). Let q(y) be the first derivative of 0*y - 9/25*y**5 - 1/5*y**3 - 9/20*y**4 - r*y**6 + 0*y**2 - 4. Factor q(b).
-3*b**2*(b + 1)**3/5
Let o(w) be the first derivative of w**6/33 - w**4/2 - 12*w**3/11 - 8*w**2/11 + 24. Let o(q) = 0. What is q?
-2, -1, 0, 4
Solve -10*f + 14/3 + 6*f**2 - 2/3*f**3 = 0 for f.
1, 7
Suppose 3*x = 2*m + 50, -5*m - 74 - 2 = -4*x. Suppose -4*g + x = -8*u + 9*u, u - 17 = -5*g. Factor -2/15*j + 4/15*j**2 + 0 - 2/15*j**g.
-2*j*(j - 1)**2/15
Let q = 10582/3957 + -10/1319. Suppose 8/3*f**3 - 10/3*f + 2/3*f**5 + q*f**4 - 4/3 - 4/3*f**2 = 0. Calculate f.
-2, -1, 1
Let y = 65201/3 + -21733. Factor 4/9*a**2 + 2/9*a**3 + 0 - y*a.
2*a*(a - 1)*(a + 3)/9
Let z(c) be the first derivative of 3*c**4/4 + 4*c**3 - 18*c**2 + 143. Suppose z(i) = 0. What is i?
-6, 0, 2
Let g(z) be the second derivative of z**9/5040 - z**8/560 + z**7/210 - z**4/4 + 4*z. Let c(w) be the third derivative of g(w). Suppose c(b) = 0. Calculate b.
0, 2
Let a(p) be the third derivative of -9*p**6/220 + p**5/22 - p**4/66 - 13*p**2 - 5. What is r in a(r) = 0?
0, 2/9, 1/3
Factor 1/6*a**2 + 5/6 - a.
(a - 5)*(a - 1)/6
Suppose 4*n + z = -462, -3 + 9 = -3*z. Let x be n/(-180) - (-1)/9. Factor -1/2*l + x - 1/4*l**2.
-(l - 1)*(l + 3)/4
Let u be (-231)/(-18) - 15/18. Factor -239*s + u + 239*s - 3*s**2.
-3*(s - 2)*(s + 2)
Let f(r) be the first derivative of r**6/2 - 3*r**5/5 - 3*r**4/2 - 133. Factor f(z).
3*z**3*(z - 2)*(z + 1)
Suppose -3 = -9*t + 42. Let g = -13 - -21. Find d, given that -t*d - 5*d + 3*d**2 + g*d = 0.
0, 2/3
Let j = -143 - -261. Suppose -2*g + 4*s - 142 = -4*g, -j = -2*g + 2*s. Suppose -6*f - 4*f**2 - g - 1 - 26*f = 0. Calculate f.
-4
Let n(h) be the second derivative of h**5/12 + 5*h**4/12 - 5*h**3/2 + 5*h**2 - 10*h. Let g(k) be the first derivative of n(k). Let g(b) = 0. What is b?
-3, 1
Let u = -484/2163 + 293696/629433. Let x = -2/97 + u. Let 2/3*i**4 - 2/3*i**2 - 4/9*i + 0 + 2/9*i**5 + x*i**3 = 0. Calculate i.
-2, -1, 0, 1
Let w(y) be the second derivative of -7*y - 1/130*y**5 + 1/39*y**3 + 0*y**2 + 0*y**4 + 0. Factor w(u).
-2*u*(u - 1)*(u + 1)/13
Suppose -4*t - 1 = 3*c - 18, -3*c + 15 = 3*t. Let 12 - j**2 - j**3 + 3*j**c + 2*j