 - 1)*(v + 1)**3
Let l(j) be the third derivative of -j**6/60 + j**5/6 - 2*j**4/3 + 4*j**3/3 + 40*j**2. Factor l(i).
-2*(i - 2)**2*(i - 1)
Let j = 1355 + -4055/3. Let 4/3 - j*m + 3*m**2 - 7/6*m**3 + 1/6*m**4 = 0. What is m?
1, 2
Let b(i) be the second derivative of i + 0 + 1/10*i**3 + 1/20*i**4 + 0*i**2. Suppose b(z) = 0. What is z?
-1, 0
Let g be 2/(-6) + 132/180. Factor -2/5*n**2 + g*n**3 + 0*n + 0.
2*n**2*(n - 1)/5
Let n be 4 + 4*(-6)/(-8). Let h(t) be the third derivative of t**2 + 0*t**4 + 1/60*t**5 - 1/420*t**n + 0*t - 1/12*t**3 + 0*t**6 + 0. Factor h(x).
-(x - 1)**2*(x + 1)**2/2
Let d(y) = -y**3 - 5*y**2 + 7*y + 1. Let t be d(-6). Let z = 7 + t. Suppose -9*s + 9*s + s**z = 0. Calculate s.
0
Let r(o) = -o**3 + o**2 + 2*o - 2. Let h(q) = q - 1. Let j(v) = h(v) - r(v). Factor j(l).
(l - 1)**2*(l + 1)
Let x = 55 - 52. Let -1/2*w**2 + 1/4*w**x + 1/4*w + 0 = 0. What is w?
0, 1
Let t = -10 - -12. Factor -6*q**t + 6*q**5 + 6 + 9*q - 12*q**3 - q + q - 3*q**5.
3*(q - 2)*(q - 1)*(q + 1)**3
Let u(n) be the third derivative of -7*n**6/60 - n**5/15 - 6*n**2. Factor u(d).
-2*d**2*(7*d + 2)
Let q(t) be the first derivative of t**7/70 + 5*t**2/2 + 5. Let g(b) be the second derivative of q(b). Find x, given that g(x) = 0.
0
Factor -2*v + 4*v**4 + 2*v**4 - 8*v**2 + 4*v**5 + 2*v**4 - 2*v.
4*v*(v - 1)*(v + 1)**3
Let r = -20/17 + 151/85. Determine u, given that 2/5 + 1/5*u**2 - r*u = 0.
1, 2
Suppose -3*m = 3 - 9. Let y = 11/20 + -3/10. Solve y*i**m + 0*i - 1/4 = 0 for i.
-1, 1
Let q(h) be the third derivative of -h**6/360 - 2*h**5/45 - 7*h**2. Solve q(r) = 0 for r.
-8, 0
Suppose 9*d = 4*d. Let y(r) be the second derivative of -1/30*r**6 + 0*r**2 + 0 - 2*r + 0*r**5 + 1/12*r**4 + d*r**3. Find p such that y(p) = 0.
-1, 0, 1
Let i(s) be the first derivative of -s**4/22 - 4*s**3/33 - s**2/11 + 7. Factor i(o).
-2*o*(o + 1)**2/11
Let d(k) be the second derivative of -k**8/5880 + k**6/630 - k**4/84 + k**3/3 + 3*k. Let b(f) be the second derivative of d(f). Factor b(n).
-2*(n - 1)**2*(n + 1)**2/7
Let w(a) = 2*a**2 - 4. Let m(h) = 4*h**2 - 9. Let c(z) = z - 8. Let b be c(8). Suppose -4 = 2*n - b. Let t(v) = n*m(v) + 5*w(v). Factor t(i).
2*(i - 1)*(i + 1)
Let o(c) be the third derivative of -c**8/3360 + c**7/1260 + c**6/360 - c**5/60 + c**4/6 + 3*c**2. Let p(f) be the second derivative of o(f). Factor p(m).
-2*(m - 1)**2*(m + 1)
Let x be 15/(-20) - (-4 + 3). Factor x*t**2 + t + 1.
(t + 2)**2/4
Let g be (-2)/70 + (-36)/(-84). Factor 2/5*r + 0 + 0*r**2 - g*r**3.
-2*r*(r - 1)*(r + 1)/5
Suppose -2*q = 3*q - 2*s - 17, -3*s + 6 = 3*q. Suppose -m - 3*g = 9, 7*m = 2*m + q*g + 9. Solve -2/7*l**5 + 0 + 0*l**2 + m*l**4 - 2/7*l + 4/7*l**3 = 0 for l.
-1, 0, 1
Suppose 0 = -2*g + 4*g - 4. Determine o so that 2 + 20*o - 19*o + 0*o**2 - o**g = 0.
-1, 2
Find c such that -3/5*c + 6/5 + 3/5*c**3 - 6/5*c**2 = 0.
-1, 1, 2
Let l(h) be the second derivative of -1/18*h**4 + 0 + 2/3*h**2 + 2*h + 1/9*h**3. Suppose l(x) = 0. What is x?
-1, 2
Let c(v) be the second derivative of -v**9/7560 - v**8/1470 - 11*v**7/8820 - v**6/1260 + v**4/6 + 4*v. Let n(f) be the third derivative of c(f). Factor n(u).
-2*u*(u + 1)**2*(7*u + 2)/7
Let 16*d - 4*d**3 + 84*d + 20*d**3 + 80*d**2 = 0. What is d?
-5/2, 0
Let m(g) = -12*g - 82. Let i be m(-7). Factor 1/2 + 1/3*o - 1/6*o**i.
-(o - 3)*(o + 1)/6
Let b(j) = 2*j**2 + 14*j + 14. Let f be b(-6). Let i(s) be the second derivative of 0 + 5/18*s**3 + s + 1/6*s**f + 1/20*s**5 + 7/36*s**4. Factor i(r).
(r + 1)**2*(3*r + 1)/3
Let s(l) be the first derivative of 3*l**5/5 - 3*l**4/4 - l**3 + 3*l**2/2 - 3. Factor s(d).
3*d*(d - 1)**2*(d + 1)
Let c(r) = 4*r - 1. Let f be c(1). Let y(d) be the first derivative of -1/2*d - 1/6*d**3 - f - 1/2*d**2. Factor y(z).
-(z + 1)**2/2
Suppose -3*r - 18 = -3*w, -w - r = -3*w + 8. Let j(t) = t**2 - 12*t - 13. Let m be j(13). Find g, given that 2/7*g + 10/7*g**w + m + 8/7*g**3 = 0.
-1, -1/4, 0
Let j(h) = h**2 + 1. Let d(c) = 8*c**2 - 2*c + 6. Let w(f) = f + 7. Let x be w(-6). Let v(m) = x*d(m) - 6*j(m). Factor v(n).
2*n*(n - 1)
Let u(z) be the first derivative of -3 + 0*z - 3/4*z**4 + 1/5*z**5 + z**3 - 1/2*z**2. Determine p, given that u(p) = 0.
0, 1
Let n = -1/23 - -29/138. Let w(a) be the first derivative of 4 + 1/4*a**4 - 1/15*a**5 - 1/3*a**3 + n*a**2 + 0*a. Factor w(j).
-j*(j - 1)**3/3
Let l(j) be the third derivative of j**7/70 + j**6/40 - j**5/20 - j**4/8 - 11*j**2. Suppose l(k) = 0. What is k?
-1, 0, 1
Let s be (1 + (0 - 2))*(-17 + 15). Factor -3*q**s + 0 - 5/3*q**4 + 2/3*q + 4*q**3.
-q*(q - 1)**2*(5*q - 2)/3
Let u = 3 + 4. Suppose 0 = 5*n - r - u, -5*n - 6 = -5*r - 1. Determine k, given that 0 - 1/3*k**3 + 1/3*k**n + 1/3*k**5 - 1/3*k**4 + 0*k = 0.
-1, 0, 1
Suppose 2*h = h + 4*c - 1, 0 = -h - 3*c - 1. Let a be h - (3 - 2) - -4. What is z in -7/3*z - 5/3*z**3 - 3*z**a - 2/3 - 1/3*z**4 = 0?
-2, -1
Let j = -3 + 1. Let d be j/(-6) - (-10)/6. Factor b**2 - 6 + 4 + b**d.
2*(b - 1)*(b + 1)
Let i be ((105/(-12))/7)/((-1)/4). Suppose 0*n**4 + 0*n**2 - 1/2*n**i + 0 - 1/2*n + n**3 = 0. Calculate n.
-1, 0, 1
Let p = 5/33 - -8/165. Factor 3/5*u**4 + 1/5*u**2 + p*u**5 + 3/5*u**3 + 0*u + 0.
u**2*(u + 1)**3/5
Let o = 2 - -1. Solve -2*n**3 + 0*n**5 - 4*n + o*n + 2*n + n**5 = 0 for n.
-1, 0, 1
Let k(g) = g**3 - 4*g**2 + 3*g. Let l = -16 + 19. Let f be k(l). Factor f*v + 0 + 1/3*v**2 - 1/3*v**3.
-v**2*(v - 1)/3
Let w(g) = 2*g**2 + 13*g + 13. Let s be w(-1). Let m = 1/28 - -25/84. Factor 1/3*u**3 + 0*u - 1/3*u**4 - 1/3*u**5 + 0 + m*u**s.
-u**2*(u - 1)*(u + 1)**2/3
Factor 1/3*j**2 + 27 - 6*j.
(j - 9)**2/3
Factor 3*m + 2*m**3 + 18 - 17 - m**2 + m - 6*m**3.
-(m - 1)*(m + 1)*(4*m + 1)
Let t(k) be the second derivative of -k**8/336 - k**7/210 + k**6/60 + 7*k**2/2 - 7*k. Let z(d) be the first derivative of t(d). Let z(n) = 0. Calculate n.
-2, 0, 1
Let d(u) be the second derivative of -u**4/27 - u**3/27 + u**2/9 + 3*u. Suppose d(p) = 0. Calculate p.
-1, 1/2
Let f(g) = g**3 + 2. Let w be f(0). Suppose -4*k + 24 = 4*j, -1 = -j + 3*k - 7. Determine i so that 1/4*i + 0 + 1/4*i**j + 1/2*i**w = 0.
-1, 0
Let g be 94/(-141) - (2/(-3) - 0). Let n(f) be the second derivative of -2*f + 0*f**3 - 1/6*f**4 + 0*f**2 + 7/20*f**5 + g. Find q, given that n(q) = 0.
0, 2/7
Let c(d) be the second derivative of d**8/168 - d**7/63 + d**6/90 - 3*d**2/2 - 2*d. Let a(l) be the first derivative of c(l). Factor a(k).
2*k**3*(k - 1)*(3*k - 2)/3
Let r = 4401/40 + -110. Let c(g) be the second derivative of r*g**6 - 1/4*g**2 - 7/80*g**5 + 0 + 1/16*g**4 + 2*g + 1/8*g**3. Factor c(q).
(q - 1)**3*(3*q + 2)/4
Let c be (-8)/(-4) - (3 + 2 + -3). Factor 0 - 1/2*q**3 + 0*q**2 + c*q - 1/2*q**4.
-q**3*(q + 1)/2
Suppose -4*l - 2*z - 10 = 0, -l - 20 = -4*l + 4*z. Factor 0*t**2 - 3/4*t**5 + 0 - 3/4*t**3 + l*t - 3/2*t**4.
-3*t**3*(t + 1)**2/4
Let x be (-14*(-3)/6)/1. Let m(u) be the second derivative of 0 + 1/80*u**5 - u - 1/60*u**6 + 0*u**2 + 0*u**4 + 0*u**3 + 1/168*u**x. Factor m(r).
r**3*(r - 1)**2/4
Let a be (18/10)/(18/60). Let v(r) be the second derivative of -2*r + 0*r**2 + 1/45*r**5 + 0 - 1/54*r**4 + 0*r**3 - 1/135*r**a. Determine w so that v(w) = 0.
0, 1
Let f(u) be the third derivative of -3*u**8/308 - u**7/35 - u**6/330 + 29*u**5/330 + 5*u**4/33 + 4*u**3/33 - 10*u**2. Determine b so that f(b) = 0.
-1, -2/3, -1/2, 1
Let b(k) be the second derivative of k**4/6 + 2*k**3 + 9*k**2 + 2*k. Factor b(l).
2*(l + 3)**2
Suppose 0 = -n - 1 + 9. Let p = 11 - n. Suppose -1/2*b + 0 + 1/2*b**p + 0*b**2 = 0. What is b?
-1, 0, 1
What is s in -1/2 - 1/6*s**2 - 2/3*s = 0?
-3, -1
Let w(g) be the third derivative of 3*g**6/80 + g**5/20 - 2*g**2. Factor w(o).
3*o**2*(3*o + 2)/2
Factor 3*u**2 + 0 + 3/2*u**3 + 0*u.
3*u**2*(u + 2)/2
Let c(n) = 6*n**3 + 18*n**2 + 12*n + 8. Suppose -4*x + 24 = -7*x. Let j(k) = -4*k**3 - 12*k**2 - 8*k - 5. Let l(h) = x*j(h) - 5*c(h). Let l(g) = 0. What is g?
-2, -1, 0
Let u be (-8)/(-20)*-2*-5. Let o(g) be the first derivative of 0*g - u + 0*g**2 + 0*g**3 - 2/5*g**5 + 0*g**4. Factor o(p).
-2*p**4
Let o(h) be the second derivative of -h**6/30 + h**5/4 - 2*h**4/3 + 2*h**3/3 - 7*h. Determine n so that o(n) = 0.
0, 1, 2
Let 5*h**2 + 8*h**4 + 8*h**5 - 13*h**2 + 8*h**5 + 4*h**5 - 20*h**3 = 0. What is h?
-1, -2/5, 0, 1
Let m(l) be the second derivative of l**7/56 - 3*l**5/40 + l**3/8 - 7*l. Fac