-q*(3*q + 1)/4
Let v(n) be the third derivative of 0 + 0*n**4 + 0*n**3 - 1/120*n**5 - 4*n**2 + 0*n. Let v(r) = 0. Calculate r.
0
Let b(m) be the third derivative of -m**8/6720 + m**7/840 - m**5/30 + 7*m**4/24 + 3*m**2. Let o(w) be the second derivative of b(w). Factor o(f).
-(f - 2)**2*(f + 1)
Let r be 64*((-190)/70 - -3). Find g such that -24/7*g**2 - r + 2/7*g**3 + 96/7*g = 0.
4
Factor 0*a + 1/2*a**4 - 1/2*a**5 + 0 + 1/2*a**3 - 1/2*a**2.
-a**2*(a - 1)**2*(a + 1)/2
Factor 49 - 98 + 5*x - 15*x**2 + 49.
-5*x*(3*x - 1)
Let p = 323/4 - 961/12. Find i such that p - i + 1/3*i**2 = 0.
1, 2
Let u(d) = d**2 + 4*d - 7. Let c be u(-6). Factor -2*l**5 + c*l**3 - 15*l**3 - l**2 - 3*l**2 - 8*l**4.
-2*l**2*(l + 1)**2*(l + 2)
Let 2*h**2 - h**2 - 3*h**3 + 4*h**3 = 0. Calculate h.
-1, 0
Let m be (77/(-105))/(-11)*2. Suppose 0 + 0*a - 2/15*a**4 + 0*a**2 + m*a**3 = 0. Calculate a.
0, 1
Factor 0 - 9*v**3 + 3*v - 5/2*v**4 - 7/2*v**2.
-v*(v + 1)*(v + 3)*(5*v - 2)/2
Let q(m) = -3*m**3 + 63*m**2 - 69*m. Let o(i) = -i**3 + 16*i**2 - 17*i. Let h(s) = 9*o(s) - 2*q(s). Determine x, given that h(x) = 0.
0, 1, 5
Suppose 2*g = -0*g + 36. Determine i so that -g + 17 - 17 - 12*i + i**2 - 3*i**2 = 0.
-3
Let z = -2 - -2. Suppose -6*b + b - 10 = z, -b - 12 = -5*a. Suppose -4 + 2 + a + d**2 + d**3 = 0. Calculate d.
-1, 0
Let p(z) be the third derivative of 0 - 4/9*z**4 - 32/9*z**3 - 1/45*z**5 - 7*z**2 + 0*z. Let p(h) = 0. Calculate h.
-4
Let i be (-462)/(-5 - -3) - 3. Let q = 692/3 - i. Factor -8/3 + q*o + 2*o**2 - 2/3*o**4 - 4/3*o**3.
-2*(o - 1)**2*(o + 2)**2/3
Let b(w) be the third derivative of w**7/735 - w**6/140 + w**5/70 - w**4/84 - 4*w**2. Factor b(r).
2*r*(r - 1)**3/7
Let c = 18 - 15. Let q(s) be the first derivative of -1/9*s**c + 0*s + 1/6*s**2 + 1. Suppose q(i) = 0. Calculate i.
0, 1
Let g(w) be the first derivative of w**4/4 - 2*w**3 + 32*w + 7. Find s, given that g(s) = 0.
-2, 4
Find y, given that -2*y**2 + 6*y**3 + y**2 + 1 - 6*y**3 - y + y**3 = 0.
-1, 1
Let p(f) be the third derivative of f**8/1008 - f**7/630 - f**6/360 + f**5/180 - 27*f**2. Solve p(m) = 0 for m.
-1, 0, 1
Let w(c) be the third derivative of c**6/120 - c**5/20 - 4*c**2. Factor w(h).
h**2*(h - 3)
Suppose -4*f = -30 + 2. Let r = 26 + -23. Suppose 0 + f - r - 54*y**2 + 6*y = 0. What is y?
-2/9, 1/3
Let t(l) be the second derivative of l**5/10 + l**4/3 + l**3/3 + 8*l. Suppose t(d) = 0. Calculate d.
-1, 0
Let p(n) be the second derivative of 1/2*n**2 + 1/12*n**4 + 0 + n - 1/3*n**3. Factor p(g).
(g - 1)**2
Let s be 10/(-32) + (-10)/(-30). Let w(r) be the second derivative of -1/12*r**3 + s*r**4 + 0 - r + 1/8*r**2. Determine x so that w(x) = 0.
1
Let r(n) be the third derivative of n**7/945 + n**6/54 + 37*n**5/270 + 5*n**4/9 + 4*n**3/3 + 29*n**2. Factor r(a).
2*(a + 2)**2*(a + 3)**2/9
Let o(b) be the first derivative of -b**6/2 - 72*b**5/5 - 144*b**4 - 512*b**3 - 4. Let o(n) = 0. What is n?
-8, 0
Let c(u) be the third derivative of u**8/336 - u**7/105 - u**6/120 + u**5/30 - 6*u**2. Factor c(g).
g**2*(g - 2)*(g - 1)*(g + 1)
Let 10*v**3 + 0*v**3 - 4*v - 4 - 4*v**5 - 4*v**4 - 2*v**3 + 8*v**2 = 0. Calculate v.
-1, 1
Let y(o) be the first derivative of -1/4*o**6 + 0*o**2 + 0*o - 4 - 9/8*o**4 + 1/2*o**3 + 9/10*o**5. Solve y(c) = 0.
0, 1
Let f be 0/(-5 + 4 + 3). Let t(i) be the second derivative of i + 1/8*i**2 + 1/120*i**6 + 0 + 0*i**3 + f*i**5 - 1/24*i**4. Factor t(y).
(y - 1)**2*(y + 1)**2/4
Let d(a) be the first derivative of 49/20*a**5 - 7/2*a**2 - 15/4*a**3 + 7/4*a**4 + 3 - a. Suppose d(x) = 0. What is x?
-1, -2/7, 1
What is g in 2/3 - 4/3*g**4 - 16/3*g**2 - 5*g**3 - g = 0?
-2, -1, 1/4
Let j = 4 + -5. Let y be (-1)/(j + 1/2). Factor -1/2*v**y + 0 - 1/2*v.
-v*(v + 1)/2
Let l(m) be the first derivative of -2*m**6/3 - 12*m**5/5 - 3*m**4 - 4*m**3/3 + 9. Factor l(t).
-4*t**2*(t + 1)**3
Let r(y) = -2*y**2 + 7*y - 23. Let z(x) = -x**2 + 4*x - 11. Let f(w) = -4*r(w) + 10*z(w). Find g, given that f(g) = 0.
3
Suppose 5*b - 3*y - 19 = 0, -b = -4*y - 18 + 4. Suppose 6 = b*z - 0. Determine r so that 2/7*r**5 + 0 - 2/7*r**z - 2/7*r**2 + 0*r + 2/7*r**4 = 0.
-1, 0, 1
Let j(y) be the second derivative of 5*y**4/84 - y**3/2 + 2*y**2/7 - 39*y. Factor j(q).
(q - 4)*(5*q - 1)/7
Let -122 + 2*x**2 - 11*x**2 - 3*x**3 + 122 = 0. What is x?
-3, 0
Let r be (-22)/(-10) + (-8)/(-10). Let c(k) be the second derivative of -1/2*k**2 - 3*k + 1/4*k**r + 0*k**4 + 0 - 1/40*k**5. Factor c(b).
-(b - 1)**2*(b + 2)/2
Let p = -7 - -10. Factor 2*l + 0*l - p*l**2 - 6*l - 12 - 8*l.
-3*(l + 2)**2
Factor 2/7 - 2/7*u**3 - 6/7*u + 6/7*u**2.
-2*(u - 1)**3/7
Let o be 1/((0 + -3)/(-549)). Let k = o + -1273/7. What is r in 2/7 + 8/7*r**2 - k*r = 0?
1/2
Let z(m) = -2*m**2 + 4*m + 2. Suppose -3*u - 1 = -7. Let x(g) = -u*g - 3 + 0*g**2 + g**2 - g + 2. Let p(s) = 4*x(s) + 3*z(s). Find a, given that p(a) = 0.
-1, 1
Let m = 3 + 16. Suppose 3*d - m = -5*z, -2*z - 2*d + 3 = -7. Factor -2*q**4 + 2*q**3 + 2*q**2 - 2*q + 0*q**z + 0*q.
-2*q*(q - 1)**2*(q + 1)
Let d(y) be the first derivative of -y**4/2 + 4*y**3/3 + y**2 - 4*y + 5. Find c such that d(c) = 0.
-1, 1, 2
What is y in 3*y**2 + 2*y + 2*y**3 + 4*y - 3*y**3 - 2*y**3 = 0?
-1, 0, 2
Let b(d) be the second derivative of -d**7/84 + d**6/30 + d**5/40 - d**4/12 - 32*d. Determine c, given that b(c) = 0.
-1, 0, 1, 2
Let c(y) be the first derivative of -y**6/2520 - y**5/420 - y**4/168 + y**3 + 2. Let f(d) be the third derivative of c(d). Suppose f(p) = 0. What is p?
-1
Suppose 4*k - 2*b = 12, 3 = -5*k - b + 11. Let l(w) be the first derivative of -2/3*w - k + 1/6*w**4 - 2/3*w**3 + w**2. Solve l(y) = 0 for y.
1
Factor -15/4*t**4 - 3/2*t + 0 - 21/4*t**2 - 27/4*t**3 - 3/4*t**5.
-3*t*(t + 1)**3*(t + 2)/4
Suppose -m = -4, 3*g - 3*m + 29 = -1. Let n = g - -8. Factor -w**n - 12 + 12.
-w**2
Let g(o) = -7*o**4 - 4*o**3 + 5. Let j(k) = -3*k**4 - 2*k**3 + 2. Let a(r) = -2*g(r) + 5*j(r). Factor a(q).
-q**3*(q + 2)
Let w(n) be the second derivative of -n**9/3024 + n**8/560 - n**7/420 + n**3/6 - n. Let k(l) be the second derivative of w(l). What is h in k(h) = 0?
0, 1, 2
Let y(k) be the second derivative of 2/3*k**3 + 0 + 6*k + 1/6*k**4 + k**2. Factor y(l).
2*(l + 1)**2
Let t(k) be the first derivative of -k**6/180 + k**4/72 + 2*k + 2. Let d(a) be the first derivative of t(a). Factor d(h).
-h**2*(h - 1)*(h + 1)/6
Factor 2*x**3 + 2/5*x**4 + 0 - 2*x - 2/5*x**2.
2*x*(x - 1)*(x + 1)*(x + 5)/5
Let v(b) be the first derivative of -2*b**5/105 - b**4/21 - 2*b**3/63 - 9. Suppose v(u) = 0. What is u?
-1, 0
Let k(q) be the second derivative of 5*q**4/12 - 5*q**3/6 + 16*q. Suppose k(m) = 0. What is m?
0, 1
Suppose 0 = 3*f - 1 - 5. Let -5*j**2 + f*j**2 + j**2 = 0. Calculate j.
0
Let v(a) be the third derivative of a**7/50 + 9*a**6/200 - a**5/20 - 9*a**4/40 - a**3/5 - 21*a**2. Determine j so that v(j) = 0.
-1, -2/7, 1
Solve -n**2 - 14*n**2 - 18*n - 7*n - 5*n**2 + 15*n**3 + 10 = 0.
-1, 1/3, 2
Let l be (-195)/12 + (-1)/4. Let r = -16 - l. Determine q so that -r*q**2 + 1/2*q**4 + 0 - 1/2*q**3 + 1/2*q = 0.
-1, 0, 1
Factor -3*x**5 + 8*x**2 + 7*x**5 - 2*x**5 + 8*x**4 + 2*x + 12*x**3.
2*x*(x + 1)**4
Let v(a) be the third derivative of 0*a + 1/180*a**6 + 1/30*a**5 + 0 + 1/12*a**4 - 1/2*a**3 + 2*a**2. Let y(j) be the first derivative of v(j). Factor y(n).
2*(n + 1)**2
Let y be 52/(-6) + 2/(-6). Let c = 2 - y. Solve c*m**2 + 9*m**4 - m**2 - 3*m**2 - m - 15*m**3 = 0 for m.
0, 1/3, 1
Let h(u) = u**3 + u**2 - u + 2. Let s be h(-2). Suppose s = q + 11 - 13. Factor 3/2*r + 3/2*r**q + 1/2 + 1/2*r**3.
(r + 1)**3/2
Let v(h) be the third derivative of -h**6/24 - h**5/6 + 3*h**2. Factor v(x).
-5*x**2*(x + 2)
Suppose x = -w, -5*x - 32 + 5 = -4*w. Factor -1/2*h**2 - 3/2*h**w + 1/2*h**4 + 1/2*h**5 + 0 + h.
h*(h - 1)**2*(h + 1)*(h + 2)/2
Let k(i) be the first derivative of 4*i**5/5 - 7*i**4 + 25*i**3/3 - 3*i**2 - 12. Suppose k(u) = 0. Calculate u.
0, 1/2, 6
Factor -3*p**3 + 2*p**3 - 4*p**3 + 7*p**3.
2*p**3
Let a(c) be the first derivative of -2*c**3/3 - 6*c**2 - 18*c - 13. Solve a(m) = 0.
-3
Let d(q) be the second derivative of -q**4/8 - q**3 + 7*q. Factor d(l).
-3*l*(l + 4)/2
Let q = -1 + -1. Let l be (-8)/(-1 - 1) + q. Solve 5*u**4 + u**l - 7*u**4 + 3*u**4 - 2*u**3 = 0.
0, 1
Let 64*m + 15 + 103*m**3 + 113 + 13*m**3 - 30*m**4 - 536*m**2 + 132*m**3 = 0. What is m?
-2/