 be (-2)/f + 5 + -1. Factor k**3 + 0*k + k - p*k**3.
-k*(k - 1)*(k + 1)
Factor -22*v + 5*v**2 + 1 - 28*v**4 + 3 - 52*v**3 - 6*v**5 - 8 - 53*v**2.
-2*(v + 1)**4*(3*v + 2)
Let a be 0 + 1 + 1896/630 + -4. Let p(g) be the third derivative of 0*g**6 + 0*g**4 + 0*g**5 - a*g**7 + 0*g**3 + 0 + 1/168*g**8 + 0*g - 2*g**2. Factor p(f).
2*f**4*(f - 1)
Let n(k) = 2*k + 1. Let j be n(2). Let x = 0 + j. Let -6*w**5 - 7*w**4 - 3*w**3 - 4*w**x + 21*w**4 - w**3 = 0. Calculate w.
0, 2/5, 1
Let p(u) be the third derivative of -u**7/455 - 11*u**6/780 - u**5/26 - 3*u**4/52 - 2*u**3/39 - 2*u**2. Factor p(w).
-2*(w + 1)**3*(3*w + 2)/13
Let a(o) be the second derivative of o**5/210 - o**3/21 - o**2 - 3*o. Let s(d) be the first derivative of a(d). Factor s(h).
2*(h - 1)*(h + 1)/7
Let u(g) be the second derivative of -g**7/42 + 2*g**6/15 - 3*g**5/20 - g**4/3 + 2*g**3/3 - 9*g. Factor u(t).
-t*(t - 2)**2*(t - 1)*(t + 1)
Let -9*l - 3*l + 3*l**2 + 53 - 5 - 12*l = 0. Calculate l.
4
Find n, given that -18*n**3 + 4*n**4 - 2*n**2 + 10*n**4 + 6*n**2 = 0.
0, 2/7, 1
Let k(t) be the first derivative of -3*t**4/28 - t**3/7 + 3*t**2/14 + 3*t/7 - 21. Determine o, given that k(o) = 0.
-1, 1
Determine s so that 4*s - s + 111*s**2 - 114*s**2 + 6 = 0.
-1, 2
Let v = 145/3 + -48. Let o(d) be the first derivative of v*d**6 + 0*d**2 + 2 + 3/2*d**4 + 0*d + 2/3*d**3 + 6/5*d**5. Factor o(m).
2*m**2*(m + 1)**3
Suppose 1/6*k**2 + 8/3 - 4/3*k = 0. Calculate k.
4
Let n(x) = -x**3 + 5*x**2 + x - 2. Let y be n(5). Factor -4*l**2 - 3*l - 3*l**3 + 0*l**3 + 8*l - 2 + 4*l**y.
(l - 2)*(l - 1)**2
Let d(u) be the third derivative of u**8/40320 + u**7/10080 + u**5/30 - 2*u**2. Let a(n) be the third derivative of d(n). What is r in a(r) = 0?
-1, 0
Determine o, given that -1/4*o**3 + 0*o + 0*o**4 + 0*o**2 + 1/4*o**5 + 0 = 0.
-1, 0, 1
Let j(i) be the third derivative of 4*i**2 + 1/72*i**4 + 0*i + 0 - 1/180*i**5 + 1/9*i**3. What is d in j(d) = 0?
-1, 2
Suppose -4 + 10 = -3*j, h = 2*j + 7. Let g(n) be the first derivative of 0*n**2 - 3 + 1/9*n**h - 1/3*n. Factor g(o).
(o - 1)*(o + 1)/3
Let k = -609 + 609. Suppose -2/5*j**3 + k + 1/5*j**4 + 1/5*j**2 + 0*j = 0. What is j?
0, 1
Suppose -157*x**2 + 4*x**3 + 156*x**2 - 6*x**3 - x**4 = 0. What is x?
-1, 0
Suppose 7 = 3*z - 2. Let -9*k**z - 4*k - 9*k**4 - 3*k**2 + 8*k**5 - 11*k**5 + 4*k = 0. What is k?
-1, 0
Let b(x) be the first derivative of -2*x**3/27 + x**2/9 + 4*x/9 - 7. Let b(d) = 0. What is d?
-1, 2
Let q(r) = r**3 - r**2. Let j(v) = -6*v**3 + 3*v**2 + v + 2. Let n(x) = 3*j(x) + 15*q(x). Factor n(o).
-3*(o - 1)*(o + 1)*(o + 2)
Let d = 182/9 + -20. Suppose -d*a**2 - 4/9*a + 2/9*a**3 + 0 = 0. What is a?
-1, 0, 2
Let b(k) be the first derivative of k**6/24 + k**5/5 + k**4/4 - k**3/6 - 5*k**2/8 - k/2 - 7. Factor b(o).
(o - 1)*(o + 1)**3*(o + 2)/4
Let q = -24 + 24. Let l(h) be the third derivative of 0*h + 0*h**4 - h**2 + q + 1/300*h**5 - 1/600*h**6 + 0*h**3. Factor l(u).
-u**2*(u - 1)/5
Factor 78*j - 48*j**2 - 127*j - 143*j - 33 - 4*j**3 - 223.
-4*(j + 4)**3
Let u(r) be the second derivative of r**3/6 + 7*r**2/2 + 3*r. Let m be u(-5). Factor -4*f**m - 5*f**3 + 7*f + 4 - 5*f**3 - f + 4*f**3.
-2*(f - 1)*(f + 1)*(3*f + 2)
Let l(b) = -195*b**3 + 160*b**2 - 43*b + 2. Let p(r) = r**3 - r**2 + r - 2. Let s(t) = -3*l(t) + 3*p(t). Factor s(z).
3*(4*z - 1)*(7*z - 2)**2
Let l be -1*(-3)/(-6)*2. Let b(c) = -3*c**3 + c**2 + c. Let y be b(l). Factor -3*a**2 - a + a**y - 2*a + 5*a + 0*a**3.
a*(a - 2)*(a - 1)
Suppose 0 = -3*y + 26 + 7. Suppose -17 = -b + 3*z, 4*b - 4*z = 39 - y. What is l in b - 2*l + 2*l**2 - 2 = 0?
0, 1
Suppose -f + 4*b + 30 - 4 = 0, 0 = f - 3*b - 21. Let m = 6 - f. Determine z so that 7/2*z**3 + 0 - 15/2*z**4 + m*z - 1/2*z**2 + 9/2*z**5 = 0.
0, 1/3, 1
Let c(j) be the first derivative of -3/10*j**2 + 3/20*j**4 + 3/5*j**3 + 3 - 6/5*j - 3/25*j**5. Suppose c(v) = 0. Calculate v.
-1, 1, 2
Let o be 0 - 26*3/(-6). Suppose 4*r = 3*a + 8*r - 17, -5*r = a - o. Factor 4 - 2*p - 2*p**2 + 6*p**2 - 3*p**2 - a.
(p - 1)**2
Let a be (-8)/(32/12) + -45. Let i = -238/5 - a. Factor -8/5*s - 8/5 - i*s**2.
-2*(s + 2)**2/5
Let g(i) = 2*i**3 - 2*i - 2. Let l(x) = x**3 - x**2 - x - 1. Let y(b) = -3*g(b) + 3*l(b). Factor y(p).
-3*(p - 1)*(p + 1)**2
Let w(p) be the first derivative of -p**5/40 + p**3/24 + 3. Factor w(c).
-c**2*(c - 1)*(c + 1)/8
Let f(l) be the third derivative of l**5/360 - l**4/72 - l**3/12 - 14*l**2. Factor f(u).
(u - 3)*(u + 1)/6
Let z(s) be the second derivative of 4*s**6/15 + 3*s**5/10 - s**4/6 + 7*s. Determine b so that z(b) = 0.
-1, 0, 1/4
Let k(t) = 4*t + 16. Let o be k(-4). Let r(g) be the third derivative of 1/20*g**4 + 0*g**3 + 1/100*g**5 + 4*g**2 + o + 0*g. Factor r(x).
3*x*(x + 2)/5
Factor 1/2 - 3/2*g - 2*g**2.
-(g + 1)*(4*g - 1)/2
Let d(u) = 5*u**4 - 9*u**3 - 8*u**2. Let s(p) = -14*p**4 + 26*p**3 + 23*p**2. Let v(o) = 17*d(o) + 6*s(o). Factor v(f).
f**2*(f + 1)*(f + 2)
Let 0*d**2 - 127*d**4 - 8*d**3 - 2*d**2 + 8*d + 129*d**4 = 0. Calculate d.
-1, 0, 1, 4
Let i(z) be the first derivative of z**4/7 - 2*z**3/21 - z**2/7 - 5. Factor i(f).
2*f*(f - 1)*(2*f + 1)/7
Let v(f) be the first derivative of -f**6/600 - f**5/150 + f**4/120 + f**3/15 + 3*f**2/2 - 2. Let k(w) be the second derivative of v(w). Factor k(o).
-(o - 1)*(o + 1)*(o + 2)/5
Let p(h) be the second derivative of -h**7/28 - 3*h**6/20 - 3*h**5/20 + 13*h. Let p(b) = 0. What is b?
-2, -1, 0
Let a(p) = 50*p**2 - 100*p + 15. Let f(j) = -7*j**2 + 14*j - 2. Let k(o) = 2*a(o) + 15*f(o). Factor k(w).
-5*w*(w - 2)
Let s be (4/(-4))/(2/(-4)). Suppose -s*x + 90 = 3*x. Find m such that 2*m**4 + 8 + 18*m**3 - 4 - 8*m**3 + x*m**2 + 14*m = 0.
-2, -1
Solve -6 + 6*q - 3/2*q**2 = 0.
2
Let c = 23/4 + -5. Let v = 150 - 148. Solve 1/2*j + c*j**v - 1/4 = 0 for j.
-1, 1/3
Let h(v) be the second derivative of 1/4*v**3 + 0*v**2 - 1/24*v**4 + 0 - 4*v. Determine n so that h(n) = 0.
0, 3
Suppose 0*k = -k + 3, 4*t = 4*k + 4. What is i in -11 + t*i**2 + 13 - 2*i**2 - 4*i = 0?
1
Factor -1/5*y**2 - 4/5*y - 4/5.
-(y + 2)**2/5
Suppose q - 4*q = 0. Let y(p) be the first derivative of 3/10*p**2 + q*p + 1/5*p**3 + 1. Factor y(d).
3*d*(d + 1)/5
Solve -4/9*w**2 + 2/3*w**3 - 2/9*w**4 + 0 + 0*w = 0.
0, 1, 2
Let v(n) be the first derivative of n**7/252 - n**6/90 + n**4/36 - n**3/36 + 2*n - 5. Let g(j) be the first derivative of v(j). Factor g(y).
y*(y - 1)**3*(y + 1)/6
Let -6/7 - 2/7*y**2 + 2/7*y**3 - 10/7*y = 0. Calculate y.
-1, 3
Factor -8/3*s + 1 + 5/3*s**2.
(s - 1)*(5*s - 3)/3
Let a(j) be the second derivative of 5*j**4/102 + 43*j**3/51 - 18*j**2/17 - 20*j. Let a(f) = 0. Calculate f.
-9, 2/5
Suppose 5*p = 2*k - 2 + 12, k = p - 2. Suppose k*w - 2/3*w**2 - 2/3*w**3 + 0 = 0. What is w?
-1, 0
Let y(s) be the third derivative of s**9/1512 + s**8/420 + s**7/420 - s**3/2 - s**2. Let f(u) be the first derivative of y(u). Factor f(w).
2*w**3*(w + 1)**2
Let l be 1*-15*31/(-155). Factor 2/13*x**5 + 2/13*x**4 + 0 - 2/13*x**l + 0*x - 2/13*x**2.
2*x**2*(x - 1)*(x + 1)**2/13
Factor 0 - w + 1/3*w**2.
w*(w - 3)/3
Let k(b) = -10*b**4 + 6*b**3 + 7*b**2 + 7*b - 7. Let q(i) = 5*i**4 - 3*i**3 - 4*i**2 - 4*i + 4. Let x(r) = -4*k(r) - 7*q(r). What is g in x(g) = 0?
0, 3/5
Let z(f) be the first derivative of -3*f**4/14 + 4*f**3/7 - 3*f**2/7 + 28. What is n in z(n) = 0?
0, 1
Let a be (-3)/(-10)*(-52)/(-39). Factor 8/5*x + a*x**4 - 8/5 - 8/5*x**3 + 6/5*x**2.
2*(x - 2)**2*(x - 1)*(x + 1)/5
Let j(g) = g - 6. Let l be j(0). Let v be 0*(-2 + (-15)/l). Factor 0 + v - 2*q**2 + 2*q + 4.
-2*(q - 2)*(q + 1)
Let o(n) be the third derivative of 3*n**2 + 1/15*n**5 + 0 + 1/20*n**6 + 0*n + 0*n**7 + 0*n**4 - 1/168*n**8 + 0*n**3. Factor o(f).
-2*f**2*(f - 2)*(f + 1)**2
Suppose 4*t - 142 = 2*v, -v - t - 68 = 12. Let r be ((-44)/v)/(2/7). Factor -2/3*z + z**r + 0.
z*(3*z - 2)/3
Suppose 0 = -3*r - 3 + 15. Let n(b) be the second derivative of -1/20*b**5 - 1/6*b**r + 0 + 0*b**2 - 1/6*b**3 - b. Factor n(p).
-p*(p + 1)**2
Let r(c) = c + 10. Let i be r(-9). Let o be i*(-21)/12*-1. Factor o*y**2 + 1/2*y + 0.
y*(7*y + 2)/4
Let i(h) be the first derivative of -h**5/5 + 3*h**4/4 - 1. What is m in i(m) = 0?
0, 3
Let v = 15 - 10. Suppose -v*k = -6*k + 6. Factor -2*w**3 - k*w - 6*w**2 - 1 + 0 - 1.
-2*(w + 1)**3
Let p(k) = -k**2 - 4*k. Suppose 31 = -i - 4*t + 8, 4*t = -20. Let r be p(i). Find h, 