= 3*b, z = b - 3. Let -3*p + 3*p**b - 3*p**4 + 2*p**2 + 1 + p**5 - p**3 - p + p = 0. Calculate p.
-1, 1
Suppose 3*y = -y + 16. Let r = y + 1. Find d, given that -2*d - r*d**3 - d**2 + 3*d**3 + 5*d**2 = 0.
0, 1
Let q(n) = 52*n**2 + 58*n + 16. Let r(d) = 261*d**2 + 289*d + 79. Let f(v) = 11*q(v) - 2*r(v). Factor f(o).
2*(5*o + 3)**2
Let z = 77/213 - 2/71. Let w(l) be the second derivative of -1/6*l**4 + 0 - 2*l - z*l**2 - 4/9*l**3. Let w(a) = 0. What is a?
-1, -1/3
Let j(y) be the third derivative of 0*y + 0*y**4 - 2*y**2 + 0 + 1/80*y**5 + 0*y**3. Factor j(f).
3*f**2/4
Factor b**3 + 0*b**2 + 0 - 4/3*b**4 + 1/3*b**5 + 0*b.
b**3*(b - 3)*(b - 1)/3
Factor 4*n**2 + 4 + n**2 + 0 + 1 - 10*n.
5*(n - 1)**2
Let g be (6/8)/((-6)/(-4)). Let r = g + -3/14. Solve 0*h**3 + r*h**2 + 0 + 0*h - 2/7*h**4 = 0.
-1, 0, 1
Suppose t + 4*t - 5*u - 35 = 0, 3*t - 3 = -3*u. Suppose -l + 55 = t*l. Determine x, given that 2*x**5 - 4*x**2 - x**3 + 4*x**4 + l*x**3 - 12*x**5 = 0.
-1, 0, 2/5, 1
Solve 5/9*u**3 - 1/9*u**5 + 0 - 1/9*u**4 - 1/3*u**2 + 0*u = 0.
-3, 0, 1
Let f = -2 - -6. Let i = f - 2. Factor i*c**2 + 0*c**3 + 2*c**3 + 0*c**3.
2*c**2*(c + 1)
Factor -4/5 + 4/5*j**2 + 2/5*j**3 - 2/5*j.
2*(j - 1)*(j + 1)*(j + 2)/5
Find u such that -1/2*u + 1/2*u**3 - 1/2*u**2 + 1/2 = 0.
-1, 1
Let v(t) be the third derivative of -t**5/330 + t**4/33 - 4*t**3/33 - 10*t**2. Solve v(k) = 0.
2
Determine c, given that c**3 + 5*c**2 - c + c**2 - 118*c**4 - 5*c**2 + 117*c**4 = 0.
-1, 0, 1
Let b(c) be the second derivative of -2*c + 0 + 1/66*c**4 + 2/33*c**3 + 0*c**2. Factor b(g).
2*g*(g + 2)/11
Suppose -g - 1 + 2 = 0. Let b = g + 1. Find i such that -1/2*i + 1/4*i**b + 1/4 = 0.
1
Let f(r) = -3*r**3 - 5. Let x(o) = 2*o**3 + 2. Let j(k) = -3*f(k) - 5*x(k). Let b(w) be the first derivative of j(w). Let b(i) = 0. Calculate i.
0
Suppose 0*g = 4*g - 8. Determine r, given that 2*r**2 - g*r - 2*r + 2*r = 0.
0, 1
Suppose -2*w = -3*w + 3. Suppose 5*l - 4 = w*l. Let -6*g**5 - 28*g**4 - 8*g - 24*g**2 + 8*g**2 - 16*g**l - 46*g**3 = 0. What is g?
-2, -1, -2/3, 0
Let j = -39239/60 - -654. Let k(y) be the third derivative of -1/175*y**7 + y**2 + j*y**4 + 0*y**3 + 1/50*y**5 - 1/300*y**6 + 0 + 0*y. Solve k(v) = 0.
-1, -1/3, 0, 1
Let n be 2/3*-1*-3. Find l such that -3*l**2 - l**4 + 6*l**2 + n*l**4 - 4*l**4 = 0.
-1, 0, 1
Suppose 0 = -3*c - 2*c + 20. Factor -u**2 + 3*u**2 - 3*u**2 - 4 - c*u.
-(u + 2)**2
Find n such that 4/11*n**4 + 0 - 2/11*n**3 + 2/11*n**5 - 4/11*n**2 + 0*n = 0.
-2, -1, 0, 1
Let o(w) = 13*w**3 - 4*w**2 - 6. Let u(m) = -m**3 - 2 - m**2 + 2*m**2 + 3. Let h(c) = -o(c) - 6*u(c). Factor h(y).
-y**2*(7*y + 2)
Let d = 7 - 12. Let y be (-4)/5*d/2. Suppose -2/7*x**3 + 0 + 2/7*x**y + 0*x + 2/7*x**5 - 2/7*x**4 = 0. Calculate x.
-1, 0, 1
Let y = 1341/20 - 67. Let p(i) be the second derivative of y*i**5 + 0 + 2*i + 0*i**2 + 2/3*i**3 - 1/3*i**4. Factor p(u).
u*(u - 2)**2
Let q(z) be the second derivative of -z**8/840 - z**7/210 - z**6/180 + z**3/6 + z. Let g(o) be the second derivative of q(o). Factor g(r).
-2*r**2*(r + 1)**2
Let p(w) = w**5 - 25*w**4 + 7*w**3 + 17*w**2 - 7*w + 7. Let c(a) = -a**5 + 17*a**4 - 5*a**3 - 11*a**2 + 5*a - 5. Let r(b) = 7*c(b) + 5*p(b). Factor r(k).
-2*k**2*(k - 1)*(k + 2)**2
Suppose s + 2*z = 4*s - 23, -24 = -2*s - 3*z. Let s*h**2 + h**3 - 2*h**3 - 6*h**2 - 2*h = 0. What is h?
0, 1, 2
Suppose 0 = -k - 0 + 2. Suppose k*z = -10, -2*z = y - 3*z - 11. Factor 9*j + 9*j + 2*j**2 - 14*j**2 + y*j - 16 + 2*j**3.
2*(j - 2)**3
Suppose -4/3*h**2 + 1/3*h**3 + 0 + 4/3*h = 0. Calculate h.
0, 2
Let u(h) be the second derivative of -h**5/7 + h**4/21 - 15*h. Factor u(j).
-4*j**2*(5*j - 1)/7
Let b be (-380)/(-192) + 6/(-9) - 1. Let p(i) be the first derivative of -1/5*i**5 + 0*i**2 - 1/12*i**3 + 0*i - b*i**4 + 3. Suppose p(h) = 0. What is h?
-1, -1/4, 0
Let w(l) = 4*l**2. Let u be w(1). Let r(d) be the first derivative of -11/7*d**3 - 18/7*d**2 - 9/28*d**u - 3 - 12/7*d. Factor r(m).
-3*(m + 1)*(m + 2)*(3*m + 2)/7
Let p(g) = 3*g - 12. Let r be p(4). Let v(a) be the third derivative of 0*a**4 + 0*a + 0*a**3 + 1/240*a**6 - 1/60*a**5 - 2*a**2 + r. Factor v(t).
t**2*(t - 2)/2
Suppose 2*b + 6 + 1 = -5*d, 1 = -5*b + 4*d. Let j(p) = -3*p**3 - p**2 + p + 1. Let i be j(b). Find l such that -2/5*l**i + 4/5*l + 0 = 0.
0, 2
Let b(i) = -3*i**4 + 15*i**3 - 80*i**2 + 66*i. Let w(o) = 7*o**4 - 29*o**3 + 160*o**2 - 133*o. Let q(l) = -5*b(l) - 2*w(l). Factor q(f).
f*(f - 8)**2*(f - 1)
Let s(c) be the first derivative of -6/5*c**5 + 0*c**3 + 9/4*c**4 - 3/2*c**2 + 0*c + 1. Factor s(w).
-3*w*(w - 1)**2*(2*w + 1)
Let z(u) be the first derivative of -u**4/6 - 2*u**3/3 + 8*u/3 + 5. What is m in z(m) = 0?
-2, 1
Let w(h) = h**2 - h + 1. Let c(g) = 18*g**2 - 6*g + 21. Let i(x) = c(x) - 15*w(x). Factor i(m).
3*(m + 1)*(m + 2)
Let p(q) be the second derivative of -q**10/105840 + q**8/23520 + q**4/4 - 2*q. Let c(k) be the third derivative of p(k). Let c(g) = 0. What is g?
-1, 0, 1
Let j(b) be the third derivative of -b**7/2520 - b**6/180 - b**5/30 + b**4/12 - 2*b**2. Let t(d) be the second derivative of j(d). Factor t(m).
-(m + 2)**2
Let f be (-3 - -1)*(-26)/4. Factor -2*c**5 - 9*c**2 - c**4 + f*c**2 - 3*c**4 + 2*c.
-2*c*(c - 1)*(c + 1)**3
Let c(b) be the third derivative of -b**8/224 + b**6/40 - b**4/16 - 8*b**2. Factor c(u).
-3*u*(u - 1)**2*(u + 1)**2/2
Factor 44/9*o**2 + 16/9 - 4/3*o**4 - 4/9*o**3 - 16/3*o + 4/9*o**5.
4*(o - 2)*(o - 1)**3*(o + 2)/9
Let z(i) be the third derivative of i**5/270 + 7*i**4/108 - 12*i**2. Factor z(f).
2*f*(f + 7)/9
Let c(d) = 2*d - 8. Let m be c(6). Factor -y**2 + 8*y**4 + y**3 - 9*y**m + 2*y**4 - y**5.
-y**2*(y - 1)**2*(y + 1)
Suppose 2 - 25 = 3*o - 4*p, 0 = 2*o - 3*p + 17. Let l be o*(8/6)/(-4). Factor 0 + 0*f - l*f**4 - 1/3*f**2 + 2/3*f**3.
-f**2*(f - 1)**2/3
Find h, given that -12*h - 18*h**2 - 15*h**3 + 3*h**3 - 3*h**4 + 0 - 4 + 1 = 0.
-1
Suppose 0 = 4*t - 0*g - 4*g, t = 4*g - 6. Factor 1/2*y**3 + 0 + 1/2*y**t - y.
y*(y - 1)*(y + 2)/2
Let y = 6085 + -127739/21. Let n = y - -274/105. Determine r, given that -12/5*r**2 - 16/5 + n*r + 2/5*r**3 = 0.
2
Suppose -2*m - t + 8 = 0, -5*m + 35*t + 21 = 38*t. Let c = -56 + 115/2. Factor 0 + 0*u**2 + c*u - 3/2*u**m.
-3*u*(u - 1)*(u + 1)/2
Let m(t) be the first derivative of 1/3*t**3 - t - 3 + 1/2*t**2. Let l(d) = -8*d**2 - 4*d + 6. Let n(w) = -l(w) - 6*m(w). Factor n(u).
2*u*(u - 1)
Suppose -s + 7 = -2*o, -3*o - 2*s - 10 = 4. Let p be 2/(o/(-2))*0. Factor 4 + 2*t**4 - 2 + 8*t + 8*t**3 + 12*t**2 + p*t**2.
2*(t + 1)**4
Factor 4*f**3 + 30*f + 5 + 4*f**4 + 3 + 16*f**3 - 2*f + 36*f**2.
4*(f + 1)**3*(f + 2)
Suppose -5*t + 4*t + 3*t = 0. Factor 1/2*j**4 + t - 1/4*j + 1/4*j**3 - 1/2*j**2.
j*(j - 1)*(j + 1)*(2*j + 1)/4
Let i be 90/27 - 4/(-6). Let j(l) be the second derivative of -1/10*l**5 + 0 + 0*l**3 + 0*l**2 + 1/6*l**4 + i*l. Suppose j(x) = 0. Calculate x.
0, 1
Let x(z) be the first derivative of 94/5*z**5 - 71/2*z**4 - 4*z**6 + 4*z - 17*z**2 + 34*z**3 - 3. Let x(m) = 0. What is m?
1/4, 2/3, 1
Let v(w) be the first derivative of 9*w**5/5 + 51*w**4/4 + 21*w**3 + 9*w**2/2 - 12*w - 22. Let v(m) = 0. Calculate m.
-4, -1, 1/3
Let l(u) be the third derivative of 1/30*u**5 + 0*u - 2*u**2 + 0 + 1/4*u**4 + 2/3*u**3. Factor l(q).
2*(q + 1)*(q + 2)
Let g be (1/(-7))/((-76)/(-16) + -5). Factor g - 30/7*b**2 - 2*b**4 + 38/7*b**3 + 2/7*b.
-2*(b - 1)**3*(7*b + 2)/7
Let f = 35 - 25. Let b(t) = -7*t - 4*t**3 + 6*t + 11*t + 2*t**4 + 10 + 2*t**2. Let v(c) = c + 1. Let p(q) = f*v(q) - b(q). Factor p(k).
-2*k**2*(k - 1)**2
Let c(x) be the third derivative of 0*x + 0*x**3 + 0 - 1/70*x**7 + 1/20*x**5 - 1/40*x**6 - 5*x**2 + 1/8*x**4. Factor c(n).
-3*n*(n - 1)*(n + 1)**2
Let g(l) be the first derivative of -2/15*l**3 - 4 + 2/25*l**5 + 0*l**2 + 1/15*l**6 + 0*l - 1/10*l**4. Factor g(n).
2*n**2*(n - 1)*(n + 1)**2/5
Let f(k) be the third derivative of -k**6/120 + k**5/60 + k**4/24 - k**3/6 - 13*k**2. Suppose f(n) = 0. What is n?
-1, 1
Let j = 27 - 27. Let a(s) be the second derivative of 2*s + 0 - 1/21*s**4 + 1/147*s**7 + 0*s**2 - 1/21*s**3 + 2/105*s**6 + j*s**5. Factor a(g).
2*g*(g - 1)*(g + 1)**3/7
Let l(x) be the first derivative of x**5/150 + x**4/15 + x**3/5 - x**2/2 - 3. Let n(t) be the second derivative of l(t). Factor n(j).
2*(j + 1)*(j + 3)/5
Suppose 0*f = -4*f + 16. Factor -4*p*