v(m). What is g in w(g) = 0?
2/5, 1
Let t = 6 + -4. Solve -n - n**2 + 3*n**t - n = 0.
0, 1
Let y(s) = 11*s**4 + s**3 + 21*s**2 - 17*s + 2. Let c(w) = 5*w**4 + 10*w**2 - 8*w + 1. Let x = -22 + 13. Let r(i) = x*c(i) + 4*y(i). Factor r(t).
-(t - 1)**4
Let s be 716/84 - 8 - 1/(-7). Factor 0 + 0*l - s*l**3 + 1/3*l**2.
-l**2*(2*l - 1)/3
Let d = -6/103 + 260/927. Let z(o) be the first derivative of 0*o - 4 + 0*o**2 + d*o**3 - 1/12*o**4 - 1/15*o**5. Factor z(b).
-b**2*(b - 1)*(b + 2)/3
Suppose 0*m - 4/3*m**3 + 0 + 2/3*m**2 + 2/3*m**4 = 0. Calculate m.
0, 1
Let i be (12/(-30))/(1/5). Let j be (-4)/8*(2 + i). Factor 0 + j*u - 2/7*u**3 - 2/7*u**2.
-2*u**2*(u + 1)/7
Determine k, given that -k**3 + 3*k**2 - 4 + 114*k - 114*k = 0.
-1, 2
Let m(z) be the third derivative of z**8/392 + 3*z**7/490 - z**6/35 + 3*z**5/140 + 39*z**2. Solve m(v) = 0.
-3, 0, 1/2, 1
Let v = 12 - 10. Suppose -3*c + 0*b - 3*b + 12 = 0, -12 = 5*c - 3*b. What is w in 6*w - 1 - 2*w**v - 3 + c = 0?
1, 2
Suppose 3*l - 15 = 0, 2*l - 7 = 4*i - 3*i. Let -7*h**5 - h**2 + 9*h**5 + 3*h**3 + i*h**4 - 3*h**3 = 0. Calculate h.
-1, 0, 1/2
Factor -7/4*x**2 + 1/2*x + 0.
-x*(7*x - 2)/4
Let y(s) be the first derivative of -5*s**4/4 + 20*s**3/3 - 25*s**2/2 + 10*s + 29. Solve y(m) = 0 for m.
1, 2
Let h(a) be the third derivative of a**8/84 - 4*a**7/105 - a**6/30 + 2*a**5/15 + 2*a**2. Let h(r) = 0. What is r?
-1, 0, 1, 2
Let s = 8 - 6. Factor -s*f**4 + 3*f**5 + 0*f - 4*f**5 + 2*f**2 + f.
-f*(f - 1)*(f + 1)**3
Suppose 10 = 3*v + 4*w, -2 = -2*v - v + 4*w. Let n(j) be the first derivative of 0*j**5 + 4/3*j - 4/9*j**3 + 1/9*j**6 - 2/3*j**4 + j**v + 3. Factor n(u).
2*(u - 2)*(u - 1)*(u + 1)**3/3
Suppose 3*v = 11*v - 24. Let z(c) be the third derivative of -1/15*c**v - 2*c**2 + 1/150*c**5 + 0*c - 1/150*c**6 + 1/30*c**4 + 0. Factor z(a).
-2*(a - 1)*(a + 1)*(2*a - 1)/5
Let s(c) be the third derivative of 1/24*c**4 + 2*c**2 + 0 + 0*c - 7/300*c**5 + 1/15*c**3. Solve s(r) = 0.
-2/7, 1
Find q such that -q**3 + 3/4*q**2 - 1 + q + 1/4*q**4 = 0.
-1, 1, 2
Let i(b) be the third derivative of b**5/30 - b**4/4 - 4*b**3/3 + 23*b**2. Find c, given that i(c) = 0.
-1, 4
Let q(j) be the second derivative of -j**4/78 - 5*j**3/39 - 4*j**2/13 + 23*j. Factor q(w).
-2*(w + 1)*(w + 4)/13
Let i = 8 - 2. Suppose i*w = 2*w + 20. Let 0*v**5 - v**w + 1 - 2*v**2 + 2*v**3 - v + 5*v**4 - 4*v**4 = 0. Calculate v.
-1, 1
Let z be ((-234)/(-99) + -2)/(6/11). Factor 1/6*c**2 - 2/3*c + z.
(c - 2)**2/6
Let h(a) be the third derivative of -a**7/1050 - a**6/600 + a**5/100 + a**4/120 - a**3/15 + 5*a**2. Factor h(k).
-(k - 1)**2*(k + 1)*(k + 2)/5
Let i(b) be the third derivative of -b**6/480 + b**5/60 - b**4/32 - b**2. Factor i(q).
-q*(q - 3)*(q - 1)/4
Let g(z) be the third derivative of -z**5/420 + 5*z**4/28 - 75*z**3/14 - 2*z**2 - 3*z. Factor g(t).
-(t - 15)**2/7
Suppose 20*q + 126 = 17*q. Let l be ((-9)/12)/(q/16). Factor 0 - 2/7*a**2 + 2/7*a**5 + l*a**4 + 0*a - 2/7*a**3.
2*a**2*(a - 1)*(a + 1)**2/7
Let x(c) = c**5 + c**4 - 2*c**3 - 2*c**2 - 2*c + 4. Let u(d) = d**5 + d**4 - 2*d**3 - 2*d**2 - 3*d + 5. Let v(o) = -3*u(o) + 4*x(o). Solve v(z) = 0.
-1, 1
Let c be 2/(-1)*26/(-104). Factor -x**4 + x**2 - 1/2*x**5 + 0 + 0*x**3 + c*x.
-x*(x - 1)*(x + 1)**3/2
Let f(c) = -c**2 + c + 1. Let t(k) = 9*k**2 - 24*k + 11. Let b(n) = 4*f(n) + t(n). Factor b(m).
5*(m - 3)*(m - 1)
Let s(f) = 7*f - 8. Let u(x) = -13*x + 15. Let t(a) = 11*s(a) + 6*u(a). Let n be t(2). Factor 0 + n*c + 2/3*c**2 + 2/3*c**3.
2*c**2*(c + 1)/3
Let v(g) be the first derivative of 2*g**5/11 + 7*g**4/22 - 12*g**3/11 - 28*g**2/11 - 16*g/11 - 31. Solve v(l) = 0.
-2, -1, -2/5, 2
Let v be (-30)/20*83/(-6). Let w = 21 - v. Let 1/2*j + 1/4*j**2 + w = 0. What is j?
-1
Let u(d) be the second derivative of d**4/20 - 2*d**3/5 + 6*d**2/5 + 9*d. Factor u(p).
3*(p - 2)**2/5
Let c(q) be the first derivative of -2/5*q**4 - 6 + 2/15*q**6 + 0*q + 2/5*q**2 + 0*q**5 + 0*q**3. Find i such that c(i) = 0.
-1, 0, 1
Suppose -4*k = -6*k + 4. Factor 4 - 2*q**5 - 8*q**k - 4 - 8*q**4 - 12*q**3 - 2*q.
-2*q*(q + 1)**4
Let n(a) be the first derivative of 4 + 2*a**2 + 2/3*a**3 - 6*a. Find f, given that n(f) = 0.
-3, 1
Let -34*t**3 + 14*t**3 - 2*t**2 + 22*t**3 + 2*t**4 - 2*t = 0. Calculate t.
-1, 0, 1
Let s(b) = -2*b**2 - 10*b + 8. Let l(h) = -h + 1. Suppose 0 = 5*m + 3*u - 46, -4*m + 11 = -5*u - 11. Let t(w) = m*l(w) - s(w). Let t(c) = 0. What is c?
-1, 0
Let m(f) be the first derivative of -3*f**4/28 - 2*f**3/7 - 3*f**2/14 + 7. Factor m(q).
-3*q*(q + 1)**2/7
Let w(j) be the first derivative of 0*j**3 - 1/2*j**2 - 1/6*j**6 + 0*j**5 + 1/2*j**4 - 2 + 0*j. Factor w(p).
-p*(p - 1)**2*(p + 1)**2
Let o(r) be the first derivative of 2*r**5/5 + 3*r**4/2 + 4*r**3/3 + 13. Factor o(n).
2*n**2*(n + 1)*(n + 2)
What is v in 0 - 2/5*v**3 + 4/5*v - 2/5*v**2 = 0?
-2, 0, 1
Solve -2/11*v**4 - 8/11*v**3 - 4/11*v - 10/11*v**2 + 0 = 0.
-2, -1, 0
Let a be 3/(6/(-14))*-3. Factor 6 + a*j**3 - 21*j**2 + 2*j - 15*j**2 + 7*j + 0.
3*(j - 1)**2*(7*j + 2)
Let q(y) be the third derivative of 0*y**5 + 0*y + 0 - 1/24*y**4 + 1/6*y**3 - 3*y**2 + 1/360*y**6. Let f(l) be the first derivative of q(l). Factor f(b).
(b - 1)*(b + 1)
Suppose -4*g = -5*z - 18, 4*g + 5*z = -g. Factor 0*n**3 + 0*n**g + 2/11*n**4 + 0 + 0*n.
2*n**4/11
Let h(n) be the third derivative of -n**6/40 - 7*n**5/20 + n**2 + 4*n. Find m, given that h(m) = 0.
-7, 0
Suppose -l + 2*s - 15 = -4*l, l - 5*s - 22 = 0. Let t = -5 + l. Find q such that q**4 - t*q**4 + q**3 + q**3 - q**2 = 0.
0, 1
Let o(y) be the second derivative of y**4/4 - 3*y**3 + 12*y**2 - 10*y. Find n such that o(n) = 0.
2, 4
Let h(s) be the first derivative of 1/3*s - 1 - 1/18*s**3 - 1/12*s**2. Factor h(n).
-(n - 1)*(n + 2)/6
Let w(b) be the first derivative of -b**3/15 - b**2/2 + 4. Factor w(q).
-q*(q + 5)/5
Let u be ((-293)/147 + 2)*1. Let c(h) be the second derivative of 0*h**2 + h + u*h**7 + 0 - 1/70*h**5 + 0*h**4 + 0*h**6 + 0*h**3. Factor c(v).
2*v**3*(v - 1)*(v + 1)/7
Let g(h) be the first derivative of h**6/60 + h**5/40 - h**4/24 - h**3/12 + 4*h + 1. Let z(b) be the first derivative of g(b). Factor z(c).
c*(c - 1)*(c + 1)**2/2
Let r(b) be the third derivative of 121*b**8/84 + 572*b**7/105 + 71*b**6/10 + 52*b**5/15 + 2*b**4/3 - 50*b**2. Let r(u) = 0. Calculate u.
-1, -2/11, 0
Let t(c) be the first derivative of c**4/10 + 4*c**3/15 - 7*c**2/5 + 8*c/5 + 17. Factor t(s).
2*(s - 1)**2*(s + 4)/5
Suppose 2*d = 6*d - 16. Factor -5*f**2 + 4*f + d*f**2 - f**2.
-2*f*(f - 2)
Let r be (-2)/(-2 + 3/2). Factor 22*g**4 + r*g**2 - 23*g**4 - 2*g**2 - g**3.
-g**2*(g - 1)*(g + 2)
Let q be (-216)/(-42) + -5 + (-6)/(-56). Let 0 + 0*h**3 - q*h + 1/4*h**5 + 1/2*h**4 - 1/2*h**2 = 0. Calculate h.
-1, 0, 1
Let t(n) be the first derivative of n**6/6 - n**4 - 2*n**3/3 + 3*n**2/2 + 2*n + 10. Determine o so that t(o) = 0.
-1, 1, 2
Let h(l) be the third derivative of -l**5/420 + l**4/56 - 2*l**2. Factor h(n).
-n*(n - 3)/7
Let m = -3 + 6. Let r(d) = 7*d**2 + 2*d + 1. Let c be r(-1). What is z in 6*z**4 - c*z**5 + 26/3*z**m - 8/3*z + 8/3 - 26/3*z**2 = 0?
-1, -2/3, 2/3, 1
Suppose -19/2*u**3 + 7/2*u**4 - 1/2*u - 1 + 15/2*u**2 = 0. What is u?
-2/7, 1
Let z = 424/3 + -140. Let y(k) be the first derivative of -2 + 1/9*k**3 - 2/3*k**2 + z*k. Factor y(b).
(b - 2)**2/3
Let t = -69 + 46. Let h = t - -33. Factor 6*g**2 + 2 - h*g + 8*g**2 + 4*g**3 - 10*g**3.
-2*(g - 1)**2*(3*g - 1)
Let m be (-8)/(-3) - 20/30. Suppose m*b = 3*o - 5 - 5, b = -o. Let 16/5*z + 2/5*z**o + 8/5 - 6/5*z**3 = 0. What is z?
-1, -2/3, 2
Let y(i) be the first derivative of -i**4/14 + i**2/7 - 4. Find s, given that y(s) = 0.
-1, 0, 1
Factor 0*t + 0*t**2 + 0 - 1/2*t**3 - 1/2*t**4.
-t**3*(t + 1)/2
Let b(j) be the first derivative of -j**4 + 4*j**3/3 + 4*j**2 - 8. Find y, given that b(y) = 0.
-1, 0, 2
Let a = 1530 - 1528. Factor -5*r**5 + 0*r + 0 - 10/3*r**a + 20/3*r**4 + 5/3*r**3.
-5*r**2*(r - 1)**2*(3*r + 2)/3
What is l in 3/2*l**2 + 0*l**3 + 3/4*l - 3/4*l**5 + 0 - 3/2*l**4 = 0?
-1, 0, 1
Find f, given that -4/5*f**4 + 0*f**2 + 0 + 0*f - 4/5*f**3 = 0.
-1, 0
Let g(b) = 2*b - 14. Let l be g(8). Find k such that 2/11*k**3 + 0*k**l + 4/11 - 6/11*k = 0.
-2, 1
Find u such that -6/5 + 33/5*u**2 - 21/5*u + 66/5*u**3 - 72/5*u**4 = 0.
-1/2, -1/4, 2/3, 1
Let y(g) be the first derivative of 1/4*g**2 - 1/2*g**3 +