 a**7/105 - a**6/60 - a**5/30 + a**4/12 + 7*a**2. Factor n(d).
2*d*(d - 1)**2*(d + 1)
Let c(j) = -j**5 - 24*j**3 + 4*j**2 - 2*j**5 + 23*j**3 + 4. Let b(r) = 4*r**5 + r**3 - 5*r**2 - 5. Let w(o) = 4*b(o) + 5*c(o). Suppose w(s) = 0. Calculate s.
-1, 0, 1
Let c(f) = -11*f + 5. Let u(x) = 6*x - 3. Let k(h) = 3*c(h) + 5*u(h). Let n be k(-1). Factor -7*b**3 + 6*b**4 + b**n + 2*b**2 + 0*b**4 - 2*b**5.
-2*b**2*(b - 1)**3
Suppose 0 = -c - t + 16, 5*t = -3*c + 8 + 36. Factor c*f**3 + 0*f**2 - f**2 - 19*f**3.
-f**2*(f + 1)
Let k(w) be the first derivative of w**6/600 - w**5/300 - w**4/120 + w**3/30 + 2*w**2 + 1. Let r(x) be the second derivative of k(x). Factor r(v).
(v - 1)**2*(v + 1)/5
Let y(x) = -11*x**2 - 24*x - 19. Let m(l) = 7*l**2 + 16*l + 13. Let p(a) = 8*m(a) + 5*y(a). Let c be p(-7). Factor -4*j**3 - j**c + 2*j**3 + 3*j**3.
j**2*(j - 1)
Suppose 3*w - 16 = -7. Let b be 11/4 + (-12)/16. Solve 0*l**b + l**w + 4*l**2 + l - 2*l**2 = 0 for l.
-1, 0
Factor 2*z**4 - 12*z**3 + 81 - 2*z**4 + z**4 - 108*z + 54*z**2.
(z - 3)**4
Suppose -16/15*q + 0*q**3 + 2/5 - 2/15*q**4 + 4/5*q**2 = 0. Calculate q.
-3, 1
Let p(i) be the second derivative of -i**5/16 - 5*i**4/16 + 5*i**3/24 + 15*i**2/8 - 9*i. Factor p(n).
-5*(n - 1)*(n + 1)*(n + 3)/4
Let m = 486 + -1454/3. Find r, given that -m*r + 4/3*r**3 - 1/3 + 1/3*r**2 = 0.
-1, -1/4, 1
Let f = 6 + -9. Let p be (-1)/3*f - -1. Factor 2*j**4 + 0*j**2 - 1 - p*j**2 + 1.
2*j**2*(j - 1)*(j + 1)
Let v(d) be the third derivative of d**7/42 - d**6/6 + 5*d**5/12 - 5*d**4/12 + 8*d**2. Suppose v(p) = 0. What is p?
0, 1, 2
Suppose -5*x = -3*g + 39, g + 45 = -5*x + 6*g. Let m be (2/x)/((-3)/27). Factor 0 + 4/7*w + 32/7*w**m + 2*w**4 + 22/7*w**2.
2*w*(w + 1)**2*(7*w + 2)/7
Let v(k) be the first derivative of -2/3*k - 14/9*k**3 + 5 + 5/3*k**2 + 1/2*k**4. Factor v(x).
2*(x - 1)**2*(3*x - 1)/3
Let r(v) = 2*v**5 + 2*v**4 - 2*v**2 + v. Let w(p) = -3*p**5 - 3*p**4 - p**3 + 3*p**2 - p. Let b(o) = -5*r(o) - 3*w(o). Solve b(d) = 0.
-2, -1, 0, 1
Let v = -173 + 177. Let w(l) be the second derivative of 8/21*l**3 - 4/7*l**2 + 1/14*l**4 - 9/70*l**5 + v*l + 0. What is m in w(m) = 0?
-1, 2/3
Suppose 4*j - 5 = 15. Let r(z) be the first derivative of 0*z - 1/8*z**4 + 2 - 1/12*z**6 - 1/5*z**j + 0*z**2 + 0*z**3. Factor r(u).
-u**3*(u + 1)**2/2
Let y be (2 - 0) + 0 + 2. Suppose -4*k + y*o = -4, 3 = 3*k + 5*o + 8. Find p, given that -1/4*p + k + 1/4*p**3 + 0*p**2 = 0.
-1, 0, 1
Let b be ((-2)/(-10))/((-8)/(-16)). Let y be (-6)/((-3 - 2) + 3). Suppose -2/5*z**2 + b*z**y - 2/5*z + 2/5 = 0. Calculate z.
-1, 1
Suppose 72/5 + 48/5*d + 2/5*d**3 - 22/5*d**2 = 0. What is d?
-1, 6
Let c be ((-2)/(-3))/((-4)/42). Let y = c - -22/3. Factor -2/3 - y*l + 1/3*l**2.
(l - 2)*(l + 1)/3
Let t = 1106 - 1102. Suppose -3/4*m**3 + 3/4*m**2 + 1/4*m**t + 0 - 1/4*m = 0. Calculate m.
0, 1
Suppose 35*k - 114 = -9. Solve -5/4*w**4 - w**2 - 3*w**k + 0 + 0*w = 0.
-2, -2/5, 0
Let c(x) be the first derivative of -x**6/3 - 2*x**5/5 + x**4/2 + 2*x**3/3 - 7. Determine s, given that c(s) = 0.
-1, 0, 1
Factor 0*x + 0 - 2/11*x**3 + 8/11*x**2.
-2*x**2*(x - 4)/11
Suppose 0 = -s - 0*s + 12. Let u = -6 + s. Factor 13*o**2 + u*o - 4 - 15/2*o**3.
-(o - 2)*(3*o + 2)*(5*o - 2)/2
Let p(f) be the first derivative of -f**8/336 + f**7/105 - f**6/120 + f**2/2 - 2. Let r(n) be the second derivative of p(n). Factor r(o).
-o**3*(o - 1)**2
Let x(t) = -t - 12. Let d be x(-18). Suppose -3*s + 4*h - 8 = 0, -s = -d*s + 3*h - 6. Solve -2/9*k + s - 2/9*k**2 = 0 for k.
-1, 0
Let r(y) be the third derivative of 0 + 1/105*y**7 + 1/12*y**4 - 1/60*y**6 - 1/30*y**5 + 0*y + 0*y**3 + y**2. Find v such that r(v) = 0.
-1, 0, 1
Solve 1 - 1/3*w - w**2 + 1/3*w**3 = 0 for w.
-1, 1, 3
Let z(c) be the first derivative of -4*c**5/5 + 4*c**3/3 + 9. Determine s so that z(s) = 0.
-1, 0, 1
Suppose 9*w = 2*w + 14. Let s(k) be the second derivative of -1/30*k**4 + w*k - 1/5*k**2 + 2/15*k**3 + 0. Factor s(b).
-2*(b - 1)**2/5
Let r be (9/(-6))/(3/(-6)). Suppose -5*s = -5*j - 10, 4*j - 2*j = -5*s + 38. Factor -s*n + 0*n**3 + 5*n - 2*n**2 - n**r.
-n*(n + 1)**2
Suppose 2*l + 3 - 13 = 0, -3*u + 26 = 4*l. Let c(p) be the first derivative of -1 - 4/5*p - 2/15*p**3 - 3/5*p**u. Factor c(v).
-2*(v + 1)*(v + 2)/5
Let y(x) be the third derivative of x**8/1176 - x**7/245 - x**6/105 - 56*x**2. Solve y(b) = 0 for b.
-1, 0, 4
Let u(z) be the third derivative of z**7/210 + z**6/60 - z**5/15 - z**4/3 - 11*z**2 + 1. Suppose u(i) = 0. What is i?
-2, 0, 2
Let w = 662/95 + -102/19. Determine c so that -2/5*c**2 + 8/5*c - w = 0.
2
Let m(r) be the first derivative of -r**3 - 1/2*r**4 - 1/2*r + 2 - 1/10*r**5 - r**2. Factor m(o).
-(o + 1)**4/2
Factor 0*b - 6/5*b**2 - 2/5*b**3 + 8/5.
-2*(b - 1)*(b + 2)**2/5
Let o(y) be the second derivative of 1/4*y**4 + 0 - 3*y + y**3 - 9/2*y**2. Factor o(b).
3*(b - 1)*(b + 3)
Let i = -193 + 2896/15. Let d(g) be the second derivative of 0 + 1/5*g**2 - 1/30*g**4 - g + i*g**3 - 1/50*g**5. Factor d(l).
-2*(l - 1)*(l + 1)**2/5
Let x(c) be the first derivative of -9 + 0*c + 0*c**2 - 2/3*c**3 - 1/2*c**4. Find j, given that x(j) = 0.
-1, 0
Suppose 4*z + 0*z**2 - 25*z - 25 + 31 - 27*z**2 = 0. Calculate z.
-1, 2/9
Let f(r) be the second derivative of 3/10*r**2 - 3/50*r**5 + 0 + 3/10*r**3 - 3/50*r**6 - 1/70*r**7 - r + 1/10*r**4. Factor f(u).
-3*(u - 1)*(u + 1)**4/5
Let g(j) be the third derivative of 2/315*j**7 + 0*j**6 + 0 - 1/504*j**8 + 0*j**3 + 0*j - 1/45*j**5 + 1/36*j**4 - 3*j**2. Suppose g(c) = 0. What is c?
-1, 0, 1
Let p(t) be the third derivative of t**9/12096 - t**7/1680 + t**5/480 + t**3/6 - 4*t**2. Let j(n) be the first derivative of p(n). Find g, given that j(g) = 0.
-1, 0, 1
Let o(i) = i**5 + 2*i**4 + 4*i**3 + 2*i**2 + 3*i - 4. Let m(t) = 2*t - 2*t + t - 1 + t**2 + t**3. Let z(n) = -4*m(n) + o(n). Let z(g) = 0. What is g?
-1, 0, 1
Let c(t) be the first derivative of -t**3/5 - 6*t**2/5 - 2. Solve c(y) = 0.
-4, 0
Let q(v) be the first derivative of -2*v + 0*v**2 - 1/4*v**4 - 1 - 1/30*v**6 + 1/6*v**3 + 3/20*v**5. Let d(s) be the first derivative of q(s). Factor d(k).
-k*(k - 1)**3
Suppose -14 = -2*s + 4*k, -5*s = 4*k - 2*k + 1. Let a be (-11)/(-12) - s/6. Factor 0*j - 3/4*j**3 + 1/4*j**2 + a*j**4 + 0 - 1/4*j**5.
-j**2*(j - 1)**3/4
Let p = 13 + -11. Let a(d) = -d**3 - d**2 - 2*d + 2. Let j(u) = -2*u**3 - 2*u**2 - 2*u + 3. Let x(q) = p*j(q) - 3*a(q). Find h, given that x(h) = 0.
-2, 0, 1
Suppose -2/5*i**2 + 0 - 1/5*i**3 - 1/5*i = 0. Calculate i.
-1, 0
Let b be (2 - (-22)/(-10))/(4/(-8)). Factor 0*d**3 - 2/5 + 4/5*d**2 + 0*d - b*d**4.
-2*(d - 1)**2*(d + 1)**2/5
Let u be (11 + -12)*(-12)/2. Let m be u*(0 + 6/63). What is x in -m + 2/7*x**2 - 2/7*x = 0?
-1, 2
Let j(a) be the third derivative of a**9/840 + a**8/560 - a**7/63 + a**6/45 - a**4/12 - a**2. Let l(n) be the second derivative of j(n). Solve l(z) = 0 for z.
-2, 0, 2/3
Let g = 45 - 41. Suppose -g*w = -0*w. Let w*v + 0 + 2/7*v**2 = 0. Calculate v.
0
Let c(t) = -9*t**3 - 2*t**2 - 7*t - 7. Let p(m) = -4*m**3 - m**2 - 3*m - 3. Let d(f) = -3*c(f) + 7*p(f). Solve d(b) = 0 for b.
-1, 0
Let p(c) = c**2 - 6*c + 2. Let v be p(6). Let o(l) be the third derivative of 2*l**v + 0*l + 0 - 1/120*l**5 - 1/12*l**4 - 1/3*l**3. Let o(r) = 0. What is r?
-2
Let a = -383 - -805/2. Let i = -19 + a. Factor 1/2*q + 0 + 1/2*q**2 - 1/2*q**4 - i*q**3.
-q*(q - 1)*(q + 1)**2/2
Determine q so that 3*q**3 - 10*q**3 + 6*q**4 + 3*q**3 = 0.
0, 2/3
Suppose -2*m + 10 = -5*i, -1 = -4*m + i + 1. Factor 0*x - x**2 - 5/2*x**4 + m + 7/2*x**3.
-x**2*(x - 1)*(5*x - 2)/2
Let x(g) = -3*g**3 + g**2 - 1. Let f be x(-1). Suppose -84 = -f*i - i. What is u in -24*u**3 + 0*u - 6 + 3*u + 6*u**2 + 0*u + i*u**3 = 0?
-1, 1, 2
Let n(y) = y**5 - y**4 + y**2 + y - 1. Let x(k) = 2*k**5 + 4*k**4 + 3*k**3 - 28*k**2 + 41*k - 17. Let w(l) = 5*n(l) - x(l). Factor w(s).
3*(s - 2)*(s - 1)**3*(s + 2)
Suppose 40*r = 30*r. Factor -3/7*q**3 - 3/7*q**5 + r*q**2 + 0 + 6/7*q**4 + 0*q.
-3*q**3*(q - 1)**2/7
Let b be ((6/(-3))/(-2))/1. Suppose 4*j = 6*j + m + 1, m = -3*j + b. Factor -p**j + p**4 + p + 2*p**3 - p**3 - 2*p**3.
p*(p - 1)**2*(p + 1)
Suppose -3*x = 4 + 5. Let q be 10 - x/3*1. Let -2*l**2 + q - 2*l - 11 = 0. Calculate l.
-1, 0
Solve -3*y - 3/2*y**3 - 9/2*y**2 + 0 = 0.
-2, -1, 0
Let k be (-2 + 8)/1 - (-9 - -11). Find m such that -1/4*m**k +