 d in 1/2*d + 1/2 - 1/2*d**3 - 1/2*d**g = 0?
-1, 1
Let k(q) be the third derivative of 20*q**5 + 125/21*q**7 + 0 + 0*q + 40/3*q**4 - 3*q**2 + 50/3*q**6 + 16/3*q**3. Find z, given that k(z) = 0.
-2/5
Let q = -1335/7 + 191. Factor -2/7 - q*t + 4/7*t**2 - 2/7*t**5 - 2/7*t**4 + 4/7*t**3.
-2*(t - 1)**2*(t + 1)**3/7
Let f(n) be the third derivative of -n**5/60 + 8*n**2. Let a(u) = -u**3 + 4*u**2. Let w be 4/(-2)*2 - 1. Let p(r) = w*f(r) - a(r). Factor p(h).
h**2*(h + 1)
Determine o so that 3/2*o**2 + 9 + 15/2*o = 0.
-3, -2
Let o(u) be the third derivative of -u**7/840 - u**6/240 + 7*u**5/240 - u**4/24 - 26*u**2. Solve o(i) = 0.
-4, 0, 1
Let x(p) be the third derivative of -p**8/1008 + 2*p**7/315 - p**6/360 - p**5/30 + 17*p**2. Suppose x(f) = 0. Calculate f.
-1, 0, 2, 3
Let p = -1947 + 5926/3. Let r = -28 + p. Factor -r*o**2 - 1/3 + 2/3*o.
-(o - 1)**2/3
Let k(r) be the first derivative of r + 0*r**4 - 1/20*r**5 + 0*r**2 + 1/6*r**3 + 1. Let z(g) be the first derivative of k(g). Factor z(f).
-f*(f - 1)*(f + 1)
Let l(x) be the second derivative of -2*x**7/7 + 16*x**6/15 - 6*x**5/5 + 2*x**3/3 + 10*x. Factor l(d).
-4*d*(d - 1)**3*(3*d + 1)
Let a be (20/(-9) + -3)*3. Let x = -15 - a. Find n such that -8/3*n - 6*n**4 + 8/9 + x*n**2 + 46/9*n**3 + 2*n**5 = 0.
-2/3, 2/3, 1
Let x(n) be the second derivative of n**5/110 - 2*n**4/33 + 5*n**3/33 - 2*n**2/11 + 12*n. Solve x(q) = 0 for q.
1, 2
Let k(i) be the third derivative of -i**9/13440 - i**8/6720 + i**7/3360 - i**5/20 + 5*i**2. Let q(g) be the third derivative of k(g). What is w in q(w) = 0?
-1, 0, 1/3
Let u(g) be the first derivative of 0*g + 1/5*g**2 + 1/25*g**5 + 0*g**4 + 2 - 1/5*g**3. Factor u(o).
o*(o - 1)**2*(o + 2)/5
Let t(d) be the second derivative of d**8/2520 - d**7/1260 - d**6/270 - 2*d**3/3 + d. Let x(y) be the second derivative of t(y). Factor x(w).
2*w**2*(w - 2)*(w + 1)/3
Let b be (-12)/8 - (9 + -7 + -5). Solve -6*n**2 + b*n**5 + 0 + 9*n**3 - 6*n**4 + 3/2*n = 0.
0, 1
Let d = 6760/11 + -614. Let -4/11 + d*b - 2/11*b**2 = 0. Calculate b.
1, 2
Let i be 6/(-4)*(-6)/(-3). Let r(l) = -3*l**5 - 2*l**3 + l. Let x(n) = -4*n**5 - n**4 - 3*n**3 + n**2 + n. Let o(b) = i*r(b) + 2*x(b). Factor o(f).
f*(f - 1)**3*(f + 1)
Let m(u) = -20*u**3 - 75*u**2 - 25*u + 5. Let l(s) = 10*s**3 + 38*s**2 + 12*s - 3. Let y(f) = 5*l(f) + 3*m(f). Factor y(q).
-5*q*(q + 3)*(2*q + 1)
Let k(m) = 2*m - 7*m**2 + 4*m**2 - m**2 - 3*m. Let p(s) = -9*s**2 - s - 1. Let g(o) = -5*k(o) + 2*p(o). Suppose g(t) = 0. What is t?
-2, 1/2
Suppose 0 = -2*m - 0*m - 6. Let y be 16/(-4) + m + 11. What is n in 1/2*n**3 - 1/2*n + 0 - 1/2*n**2 + 1/2*n**y = 0?
-1, 0, 1
Let n(w) be the first derivative of -3*w**6/4 + 24*w**5/5 - 13*w**4/2 + 8*w**3/3 + 8. Factor n(t).
-t**2*(t - 4)*(3*t - 2)**2/2
Let o(w) be the third derivative of -w**5/50 + w**4/30 + w**3/15 - 7*w**2. What is b in o(b) = 0?
-1/3, 1
Factor -95*y + 56*y + 47*y + 4*y**2.
4*y*(y + 2)
Let o(p) be the third derivative of p**5/45 - p**4/6 + 4*p**3/9 - 12*p**2. Find l, given that o(l) = 0.
1, 2
Suppose -2*o - 8 = -4*o. Let q(t) be the third derivative of t**2 + 0*t + 0*t**3 + 0*t**o + 0 - 1/90*t**5. Factor q(h).
-2*h**2/3
Let w(n) be the third derivative of n**5/240 - n**4/24 + n**3/6 + 6*n**2. Let w(d) = 0. What is d?
2
Let c(s) = -5*s**2 + 5*s - 4. Let q(o) = 11*o**2 - 11*o + 9. Let x(y) = -9*c(y) - 4*q(y). Factor x(f).
f*(f - 1)
Let x = -24 - -24. Factor d**2 - 3*d + x*d**2 + 6*d.
d*(d + 3)
What is h in 8/21 - 8/7*h + 10/21*h**2 = 0?
2/5, 2
Factor 81/4*s**3 - 3/2*s + 9/4*s**2 + 0.
3*s*(3*s + 1)*(9*s - 2)/4
Let g(a) be the third derivative of -a**8/392 + a**7/105 - a**6/210 - 6*a**2. Let g(n) = 0. What is n?
0, 1/3, 2
Let q be ((-2)/3 - 0)*-3. Suppose -2*l = q*l. Solve 4/3*t + l - 2/3*t**2 = 0.
0, 2
Let u = 374/7911 + -3/293. Let q(j) be the second derivative of -2/9*j**2 - 3*j + 1/54*j**4 - u*j**3 + 0. Factor q(d).
2*(d - 2)*(d + 1)/9
Let b(r) be the first derivative of -440*r**6/3 - 408*r**5 - 1415*r**4/4 - 220*r**3/3 + 45*r**2/2 + 10*r + 28. Let b(y) = 0. What is y?
-1, -1/4, 2/11
Let h(y) be the first derivative of 3*y**5/5 - 3*y**4/4 - 4. Factor h(k).
3*k**3*(k - 1)
Suppose 2*j + 3*t = -0*j - 3, j + 3 = -2*t. Factor 9/2*k**j - 7/2*k**2 + 0 - 5/2*k**4 + 1/2*k**5 + k.
k*(k - 2)*(k - 1)**3/2
Let m(a) = -17*a**4 - 12*a**3 + a + 6. Let l be (-111)/(-18) + (-5)/30. Let x(k) = -9*k**4 - 6*k**3 + 3. Let z(v) = l*m(v) - 11*x(v). Factor z(c).
-3*(c - 1)*(c + 1)**3
Find g such that -g + g**3 + 4*g**2 + 6*g**2 - 6*g**2 - 4 = 0.
-4, -1, 1
Factor 4*x**3 + 1 - 5/2*x - 7*x**2.
(x - 2)*(2*x + 1)*(4*x - 1)/2
Let r be (-5)/(-12) - ((-28)/16)/(-7). Suppose 0*f - 1/6*f**2 + 1/6*f**4 + 0 + r*f**3 - 1/6*f**5 = 0. Calculate f.
-1, 0, 1
Let w(v) = -v**3 - v**2 - v + 2. Let o be w(0). Let m(r) = -r**3 - r**2. Let t(i) = -8*i**3 - 5*i**2 - i. Let q(n) = o*t(n) - 14*m(n). Factor q(p).
-2*p*(p - 1)**2
Let t(p) = 2 - 4 - 2 - 3*p - 2*p**2 - 3*p. Let y(d) = -10*d**2 - 30*d - 20. Let v = 3 - 5. Let o(l) = v*y(l) + 11*t(l). Factor o(b).
-2*(b + 1)*(b + 2)
Let u be (4/21)/((-7)/(-21)). Find s, given that u + 6/7*s + 2/7*s**2 = 0.
-2, -1
Suppose 9*v - 12 = 3*v. What is y in 0 + 4*y**3 + 11/4*y**v + 7/4*y**4 + 1/2*y = 0?
-1, -2/7, 0
Factor -25*a**3 + 10*a - 7*a**2 + 3*a**2 + 8*a**4 - 2*a**5 - 4 + 17*a**3.
-2*(a - 2)*(a - 1)**3*(a + 1)
Let m(r) = 4*r**3 + 20*r**2 + 30*r - 14. Let b(k) = -k**3 - 4*k**2 - 6*k + 3. Let g(d) = 28*b(d) + 6*m(d). Find j, given that g(j) = 0.
-1, 0, 3
Let s(w) be the third derivative of w**5/75 - w**4/15 + 2*w**3/15 - 6*w**2. Solve s(o) = 0 for o.
1
Let v(h) = 75*h**5 + 135*h**4 + 87*h**3 + 12*h**2 - 15. Let g(j) = -j**3 + 1. Let w(r) = -15*g(r) - v(r). Factor w(o).
-3*o**2*(o + 1)*(5*o + 2)**2
Let c(h) be the third derivative of 4*h**5/105 + 5*h**4/42 + 2*h**3/21 + 32*h**2 - 2*h. Factor c(d).
4*(d + 1)*(4*d + 1)/7
Let g(h) be the second derivative of -2*h**7/21 + 8*h**6/15 - 3*h**5/5 - 4*h**4/3 + 8*h**3/3 - 12*h. Let g(i) = 0. What is i?
-1, 0, 1, 2
Let f(r) be the first derivative of -3*r**4/4 + 5*r**3 - 12*r**2 + 12*r + 15. Find a such that f(a) = 0.
1, 2
Suppose -v - 8 = -5*p - 4, -2*v = 8. Factor p*a - 1/4*a**2 + 1/4.
-(a - 1)*(a + 1)/4
Let u(j) be the first derivative of -2*j**6/3 + 16*j**5/5 - 4*j**4 - 8*j**3/3 + 10*j**2 - 8*j - 7. Factor u(f).
-4*(f - 2)*(f - 1)**3*(f + 1)
Let m(i) = i**2 + 12*i + 7. Let o(r) = 4*r + 2. Suppose -a - 1 = -3. Let n(k) = a*m(k) - 7*o(k). Find d such that n(d) = 0.
0, 2
Let j = -65/3 - -263/12. Find o such that 1/2*o**2 - j*o**4 + 0*o + 0*o**3 - 1/4 = 0.
-1, 1
Let 25*x - 30*x**2 + 7*x**3 + 125/2 - 1/2*x**4 = 0. Calculate x.
-1, 5
Factor 16/3*f**3 + 20/3*f**2 + 1/3*f**4 + 0 + 0*f - 1/3*f**5.
-f**2*(f - 5)*(f + 2)**2/3
Let y(z) = -z**2 - 4*z + 3. Let f(u) = 3*u**3 - u**2. Let m be f(-1). Let s be y(m). Factor 0 + 1 + 2 - s*a**2 - 3*a + 3.
-3*(a - 1)*(a + 2)
Let q be 1116/(-16) - (-2)/(-8). Let h be (-14)/4*5/q. Find g such that 1/4*g**3 + 0*g + 0 + 1/4*g**2 - 1/4*g**4 - h*g**5 = 0.
-1, 0, 1
Let m(j) be the first derivative of j**5/80 + j**4/16 + j**3/8 + j**2/8 - j + 4. Let v(w) be the first derivative of m(w). What is q in v(q) = 0?
-1
Let r(v) be the third derivative of v**6/600 - v**5/50 + 3*v**4/40 - 25*v**2. Determine n so that r(n) = 0.
0, 3
Let x(a) be the second derivative of a**4/4 - 5*a. Suppose x(q) = 0. What is q?
0
Suppose -2/11*g - 4/11 + 2/11*g**2 = 0. What is g?
-1, 2
Let b(w) be the third derivative of -w**8/100800 + w**6/3600 + w**5/60 - 2*w**2. Let i(r) be the third derivative of b(r). Suppose i(t) = 0. What is t?
-1, 1
Let g(i) be the third derivative of -i**6/40 - 7*i**5/20 - 3*i**4/4 - 3*i**2 - 7*i. Factor g(v).
-3*v*(v + 1)*(v + 6)
Factor 2/5*g**2 + 12/5*g + 18/5.
2*(g + 3)**2/5
Let a = 23545/108 + -218. Let d(t) be the third derivative of -a*t**4 - 2*t**2 - 1/540*t**6 + 1/135*t**5 + 0*t**3 + 0*t + 0. Solve d(y) = 0.
0, 1
Let s(d) = 6*d**2 - 9*d + 9. Let w(y) = y**2 + y - 1. Let t(f) = s(f) - 3*w(f). Factor t(p).
3*(p - 2)**2
Let b(r) be the second derivative of -r**6/20 - r**5/6 - r**4/12 + r**3/3 - r**2 - 8*r. Let v(m) be the first derivative of b(m). Factor v(z).
-2*(z + 1)**2*(3*z - 1)
Suppose 0 = -y + 2*y - 2. Let i be ((-8)/(-10))/((-2)/(-5)). Suppose 4*w**i - 2*w**y - 5*w**2 = 0. What is w?
0
Let z be 6/2 + 35/(-50)*2. Factor 0