*w**3 + 4*w**4 = 0.
-2/7, 0, 1
Find g such that -2/5*g**3 + 0*g**2 + 0*g - 2/5*g**4 + 0 = 0.
-1, 0
Suppose 0 = -6*w + 3*w + 24. Suppose -10*q**3 + q**2 + 0*q**3 + w*q**4 + 2*q**2 - 2*q**5 + q**2 = 0. What is q?
0, 1, 2
Let d(l) = l**2 + 11*l + 3. Let i be d(-11). Factor -2/3*f**4 + 0*f**2 + 2/3*f**5 + 0 + 0*f**i + 0*f.
2*f**4*(f - 1)/3
Let a(s) be the third derivative of s**6/200 + 11*s**2. Factor a(c).
3*c**3/5
Let p(c) be the first derivative of -1 - 1/24*c**4 - 1/6*c**3 - 1/4*c**2 + 2*c. Let s(d) be the first derivative of p(d). Solve s(k) = 0.
-1
Let -3*b**2 - 2*b**4 - 9*b - 14 + 9*b**3 - b**4 + 20 = 0. Calculate b.
-1, 1, 2
Let z(k) be the first derivative of 2 - 2*k - 2/15*k**3 - 1/30*k**4 + 0*k**2 + 1/50*k**5. Let b(o) be the first derivative of z(o). Factor b(i).
2*i*(i - 2)*(i + 1)/5
Let v be 3 - (-92)/96*-3. Let n(t) be the first derivative of 1/6*t**3 + v*t**4 + 0*t**2 - 1/12*t**6 - 1/10*t**5 - 2 + 0*t. Factor n(f).
-f**2*(f - 1)*(f + 1)**2/2
Find i such that -2*i**4 + 2*i**2 + 6*i**3 - 4 - 6*i + 0*i**4 + 4*i**4 = 0.
-2, -1, 1
Let a(n) = n - 5. Let d = 1 + 4. Let q be a(d). Let 4/7*i**3 + 0*i + 6/7*i**4 + 0 + q*i**2 - 10/7*i**5 = 0. Calculate i.
-2/5, 0, 1
Let x = 18 - 3. Suppose -4 - 5*i + 14*i**2 + i - x*i**2 = 0. Calculate i.
-2
Let v(m) = -8*m**4 - 5*m**3 + 10*m**2 + 3*m. Let r(k) = -95*k**4 - 60*k**3 + 120*k**2 + 35*k. Let u(g) = 3*r(g) - 35*v(g). Suppose u(x) = 0. What is x?
-2, 0, 1
Let z be -1 + 3/12*4. Let a(j) be the third derivative of 2*j**2 + 0*j**3 + 0*j - 1/54*j**4 + z + 1/270*j**5. Solve a(m) = 0.
0, 2
Let k(v) be the second derivative of v**5/35 + 4*v**4/21 + 8*v**3/21 - 4*v. Suppose k(g) = 0. What is g?
-2, 0
Let y(j) = j**2 - 7*j - 3. Let r be y(7). Let i be (7/r)/((-4)/6). Find z, given that -7/2*z - z**2 + i*z**3 + 1 = 0.
-1, 2/7, 1
Let o = 37/8 - 25/8. Factor -3/2*l + 1/2 - 1/2*l**3 + o*l**2.
-(l - 1)**3/2
Let f = -230 + 1154/5. Let s be 0*(-1 + 2/4). Factor f*b - 6/5*b**2 + s.
-2*b*(3*b - 2)/5
Let o(m) = -m**2 - 5*m - 3. Let q(z) = z**2 + 4*z + 2. Let b(w) = w**3 - 5*w**2 + 3*w + 2. Let p be b(4). Let i(x) = p*o(x) - 3*q(x). Factor i(g).
-g*(g + 2)
Suppose t + 2*t - 3*c = 21, -2 = -2*t - 2*c. Suppose 4*s + 5 = -4*d + 37, -t*s + d = -7. Determine q so that 1 + 2 - s*q**4 + 6*q**3 - 9*q + 3*q = 0.
-1, 1
Let m(n) = 3*n**3 + 4 - 4 - n - 2*n**3. Let x be m(1). Factor -8/5*h**4 - 2/5*h**3 + x + 0*h + 0*h**2.
-2*h**3*(4*h + 1)/5
Let r(g) = -2*g**3 - 6*g**2 - 18*g + 58. Let t(a) = -5*a**3 - 18*a**2 - 54*a + 173. Let i(j) = 11*r(j) - 4*t(j). Find m, given that i(m) = 0.
-3, 3
Find v, given that -9/7*v**3 + 0*v + 0*v**2 + 0 + 3/7*v**5 + 6/7*v**4 = 0.
-3, 0, 1
Let r = -1 + 25. Suppose -2*f - r = -4*m, -2*m = 5*f - 19 - 17. Find z, given that 9*z + z**2 - m*z - z - 1 = 0.
-1, 1
Let v(d) be the first derivative of 3*d**5/10 - 9*d**4/8 + d**3 - 43. Factor v(x).
3*x**2*(x - 2)*(x - 1)/2
Suppose 4*r - 21 = -13. Let a(j) be the first derivative of 0*j - 2 + 2/15*j**3 + 1/5*j**r. Factor a(m).
2*m*(m + 1)/5
Let a(p) be the first derivative of p**6/4 + 3*p**5/10 - 15*p**4/32 - 5*p**3/8 + 3*p**2/16 + 3*p/8 + 1. Let a(o) = 0. Calculate o.
-1, -1/2, 1/2, 1
Let b(f) = -3*f**2 - 33*f - 21. Let i(a) = a**2 + 16*a + 11. Let t(p) = -4*b(p) - 9*i(p). Factor t(j).
3*(j - 5)*(j + 1)
Let z = -582/5 - -117. Factor -z*c**2 + 0*c + 4/5 - 1/5*c**3.
-(c - 1)*(c + 2)**2/5
Let w = 2710/21 - 129. Let b(m) be the second derivative of 0*m**2 - 1/42*m**4 - w*m**3 + 1/105*m**6 + 1/70*m**5 + 0 + 2*m. Factor b(f).
2*f*(f - 1)*(f + 1)**2/7
Let t(u) be the first derivative of -2*u**7/35 + u**6/6 - 2*u**5/15 - 5*u**2/2 + 1. Let g(l) be the second derivative of t(l). Determine p, given that g(p) = 0.
0, 2/3, 1
Find p such that -4/11*p + 14/11*p**2 - 8/11*p**3 - 2/11 = 0.
-1/4, 1
Factor -1/4*h**3 - 1/2*h + 3/4*h**2 + 0.
-h*(h - 2)*(h - 1)/4
Let n(b) be the second derivative of b**5/20 - b**4/8 - b**3 + 3*b**2/2 + 5*b. Let p(h) be the first derivative of n(h). Factor p(y).
3*(y - 2)*(y + 1)
Factor 2*m - 5*m + m**2 + 3*m.
m**2
Let v(p) be the second derivative of -p**5/5 + 2*p**4/3 + 14*p**3/3 + 8*p**2 + 2*p. Factor v(l).
-4*(l - 4)*(l + 1)**2
Let g be -2 - (3 + 41/(-7)). Let f = -1/26 - -59/182. Find z such that -g*z**4 - f*z + 0 + 6/7*z**2 + 2/7*z**3 = 0.
-1, 0, 1/3, 1
Let y(j) be the second derivative of -j**4/21 + 2*j**3/21 - j. Factor y(a).
-4*a*(a - 1)/7
Let j(k) be the third derivative of 3*k**6/320 + 13*k**5/160 + 13*k**4/64 + 3*k**3/16 + 2*k**2. Factor j(t).
3*(t + 1)*(t + 3)*(3*t + 1)/8
Let g be 42/(-20)*(-16)/12. Let y be (-3)/2 - 62/(-20). Determine c so that g*c**2 - y + 196/5*c**3 - 8*c = 0.
-2/7, 1/2
Find y such that -5/3*y**4 + 7/6*y**3 - 2/3*y + 0 + 1/2*y**5 + 2/3*y**2 = 0.
-2/3, 0, 1, 2
Let q(d) be the first derivative of 4/3*d**3 + 0*d - 11 - 4*d**4 - 12/5*d**5 + 4*d**2. What is w in q(w) = 0?
-1, 0, 2/3
Determine h so that -1/4*h + 1/4*h**3 - 1/2*h**2 + 1/2 = 0.
-1, 1, 2
Let m = -16 + 18. Factor 0 - 1/3*r**m + 1/3*r**3 - 2/3*r.
r*(r - 2)*(r + 1)/3
Let w be (6/10)/(80/24 + -3). Factor w*t**2 - 6/5*t - 4/5*t**3 + 1/5.
-(t - 1)**2*(4*t - 1)/5
Let b(p) = -2*p**2 + 15*p + 8. Let n be b(8). Let x(k) be the first derivative of 1/10*k**4 + 0*k**3 + 0*k**2 + n*k - 1 + 4/25*k**5 + 1/15*k**6. Solve x(f) = 0.
-1, 0
Let n(i) be the third derivative of 0 - 3*i**2 + 3/20*i**5 + 0*i - 1/2*i**3 + 1/4*i**4. Factor n(v).
3*(v + 1)*(3*v - 1)
Let q(p) = p**4. Let l(d) = -35*d**5 + 128*d**4 - 100*d**3 - 40*d**2. Let w(a) = l(a) + 2*q(a). Factor w(y).
-5*y**2*(y - 2)**2*(7*y + 2)
Let k(u) be the third derivative of -u**5/300 - u**4/120 + u**3/15 - u**2. Factor k(w).
-(w - 1)*(w + 2)/5
Let k be 1/6 - 68/(-24). Factor -4*v - 2*v**5 + 5*v + k*v**5 + 0*v**3 - 2*v**3.
v*(v - 1)**2*(v + 1)**2
Let x(j) = j**2 + 4*j + 4. Let u be x(-4). Determine n, given that 5*n**4 - 5*n - 5*n**3 + 1 + 2*n**5 - 3*n**5 + 10*n**2 - u*n**3 - n**3 = 0.
1
What is r in 0*r + 2/3*r**4 + 8/9*r**2 - 16/9*r**3 + 0 = 0?
0, 2/3, 2
Let y(r) be the third derivative of r**5/450 - r**4/180 - 24*r**2. Find z such that y(z) = 0.
0, 1
Let z(s) be the third derivative of s**7/420 + s**6/60 + s**5/24 + s**4/24 + 3*s**2. Factor z(q).
q*(q + 1)**2*(q + 2)/2
Let w = 320/33 - 26/11. Let -w*o**3 + 0 + 8/3*o + 2*o**4 + 16/3*o**2 = 0. Calculate o.
-1/3, 0, 2
Let y(a) be the second derivative of -a**7/5460 - a**6/2340 + a**5/390 + a**3/2 - a. Let x(i) be the second derivative of y(i). Factor x(n).
-2*n*(n - 1)*(n + 2)/13
Suppose 0 = 4*p + 5*t + 66, -t + 59 = 3*p - 6*p. Let r = p + 21. Factor 2/3*m + 0 + 2/3*m**r.
2*m*(m + 1)/3
Let 147/2*f**3 - 147/2*f**4 + 0 - 6*f + 6*f**2 = 0. What is f?
-2/7, 0, 2/7, 1
Let k be (-10)/4*90/(-75). Factor -3*h**2 + k*h**5 + 0*h**3 + 3*h**4 - 2*h**3 - h**3.
3*h**2*(h - 1)*(h + 1)**2
Let 3*g**5 - 3*g**3 + 0*g**5 - 12*g**4 + g**3 + 14*g**3 = 0. Calculate g.
0, 2
Let h be (-2 - -1) + 0 + 2. Let m be (-5 + 1)/(-4) - h. Find b such that 2/7*b + m - 2/7*b**2 = 0.
0, 1
Suppose -2*b + 3 = -3. Let q(r) = 6 - r**3 - 5 + 0*r**b + r + r**2. Let p(t) = 30*t**3 + 20*t**2 + 2*t - 2. Let d(j) = -p(j) - 2*q(j). What is x in d(x) = 0?
-1/2, -2/7, 0
Let h(t) be the second derivative of t**7/315 - t**6/225 - t**5/25 - t**4/45 + t**3/9 + t**2/5 + 4*t. What is z in h(z) = 0?
-1, 1, 3
Suppose 0 = 3*m + 4*m. Let v = 7/4 + -3/2. What is h in -v*h + 0 - 1/4*h**5 + m*h**2 + 1/2*h**3 + 0*h**4 = 0?
-1, 0, 1
Suppose -4*f - 2*d + 10 = 0, 2*f + 2*d = -0*d + 10. Factor -2/7 + f*m**2 + 4/7*m**3 - 4/7*m + 2/7*m**4.
2*(m - 1)*(m + 1)**3/7
Let n = 185 - 921/5. Factor 0 + n*f - 3/5*f**4 - f**3 + 4/5*f**2.
-f*(f - 1)*(f + 2)*(3*f + 2)/5
Let m(o) = 12*o**5 + 12*o**4 + 8*o**3 + 8*o**2 - 20*o + 12. Let h(d) = -d**5 - d**4 + d - 1. Let r(l) = -16*h(l) - m(l). Determine z so that r(z) = 0.
-1, 1
Let y = 10 + -4. Suppose -4*p = -p - y. Determine k so that -1 - k**4 + 2*k**3 + k - 2*k**3 + 2*k**p + k**5 - 2*k**3 = 0.
-1, 1
Let i be (48/(-56))/((-198)/56). Let o(p) be the first derivative of 2/11*p - 3/11*p**2 + 2 - i*p**3. Factor o(q).
-2*(q + 1)*(4*q - 1)/11
Let f be (1 - (-7)/(-5))/(17 - 25). Let s(p) be the second derivative of -1/2*p**2 + 0 - 1/6*p**3 + 1/12*p**4 + 2*p + f*p**5. Determine m, given that s(m) = 0.
-1, 1
Suppose -12 = -3*v, 4*z + 0*z = 2*v + 8. Suppose -2/5*j**z - 4/5*j + 4/5*j**3 + 0 + 2/5*j**2 = 0. Calcul