*2.
3*s**2*(s + 1)/4
Let t be (-1 - -2) + 30/(-35). Suppose -4/7*b + 4/7 + t*b**2 = 0. Calculate b.
2
Suppose -7*g = -4*g - 3. Let r(j) be the first derivative of 1/9*j**3 + 0*j**2 - 1/3*j - g. Determine k so that r(k) = 0.
-1, 1
Let i(d) = -2*d**5 + 4*d**4 + 6*d**3 - 2*d**2 - 2*d. Let o(q) = -q**4 - q**3 - q**2 + 1. Let v(r) = -i(r) - 2*o(r). Suppose v(p) = 0. Calculate p.
-1, 1
Factor 1/5*n**2 - 3/5*n**3 + 3/5*n - 1/5*n**4 + 0.
-n*(n - 1)*(n + 1)*(n + 3)/5
Let p(y) be the first derivative of -y**5/130 - y**4/39 - y**3/39 + 4*y + 4. Let a(l) be the first derivative of p(l). Factor a(u).
-2*u*(u + 1)**2/13
Let p(h) = -2*h**2 - 13*h - 11. Let u(w) = w**2 + 6*w + 5. Let d(o) = -4*p(o) - 9*u(o). Find c such that d(c) = 0.
-1
Let y = -63 - -437/7. Let l = y - -15/14. Solve n**2 + 1/2*n - l*n**3 + 0 - n**4 = 0 for n.
-1, -1/2, 0, 1
Let o = 116 + -164. Let p = 197/4 + o. Determine t so that -p*t**2 + 3/4*t + 1/2 = 0.
-2/5, 1
Let b(x) be the second derivative of -x**7/840 - x**6/480 - 3*x**2/2 + 3*x. Let z(w) be the first derivative of b(w). Find o such that z(o) = 0.
-1, 0
Factor 0 + 32/9*n**2 - 128/9*n - 2/9*n**3.
-2*n*(n - 8)**2/9
Let m(n) = -4*n**5 - n**4 + 7*n**3 + n**2 - 8*n. Let q(z) = 2*z**5 - 4*z**3 + 4*z. Let i(v) = -2*m(v) - 5*q(v). Solve i(d) = 0 for d.
-1, 0, 1, 2
Determine g, given that -1/3*g**2 - 4/3 - 7/3*g**3 + 8/3*g - 1/3*g**5 + 5/3*g**4 = 0.
-1, 1, 2
Let f(c) be the second derivative of 0 - 1/3*c**3 + 5*c - 2/3*c**2 + 5/18*c**4. Factor f(i).
2*(i - 1)*(5*i + 2)/3
Let p be -7*((-150)/35)/6 + -5. Determine l so that p*l + 1/3*l**4 + 0 - 2/3*l**3 + 1/3*l**2 = 0.
0, 1
Let k(j) be the first derivative of -3*j**5/5 - 3*j**4 - 6*j**3 - 6*j**2 - 3*j + 2. Factor k(s).
-3*(s + 1)**4
Suppose 27 - 2 = 5*v. Let u(b) be the third derivative of 0*b + 1/24*b**4 - 1/120*b**6 - 1/60*b**v + 1/6*b**3 + 0 - 2*b**2. Factor u(s).
-(s - 1)*(s + 1)**2
Let j(g) = g**3 - 23*g**2 - 77*g - 85. Let o(a) = -6*a**3 + 114*a**2 + 384*a + 426. Let d(y) = 21*j(y) + 4*o(y). Let d(i) = 0. Calculate i.
-3
Let b(j) be the third derivative of j**2 + 0*j**4 + 0*j + 0*j**3 + 1/120*j**5 + 0. Factor b(z).
z**2/2
Let c(x) = x**2 + 4*x + 2. Let v be c(-3). Let h be (v/(-18))/(2/8). Determine d, given that -4/9*d**2 + 2/9*d + h*d**3 + 0 = 0.
0, 1
Let q(r) be the first derivative of r**6/1080 - r**5/360 - r**4/36 + 2*r**3/3 + 1. Let p(l) be the third derivative of q(l). Find y, given that p(y) = 0.
-1, 2
Let y = -4 - -8. Factor -5*p + 3*p + y*p - p**2.
-p*(p - 2)
Let w(f) = -f + 2. Let p be w(0). Suppose 4 + 14*i**p + 9/4*i**4 + 1/4*i**5 + 8*i**3 + 12*i = 0. Calculate i.
-2, -1
Let 0 - 3*k - 3/2*k**2 + 3/2*k**3 = 0. What is k?
-1, 0, 2
Let c be (2/4)/(1/4). Let -12*w**2 - c + 10 - 2*w**2 + 24*w = 0. Calculate w.
-2/7, 2
Factor 5*x**5 + 2*x**3 - 10*x**4 - 19*x**3 + 2*x**3.
5*x**3*(x - 3)*(x + 1)
Let h(z) be the third derivative of 1/100*z**6 - 7*z**2 + 0 + 0*z + 0*z**3 + 0*z**4 + 0*z**5 - 1/350*z**7. Let h(x) = 0. Calculate x.
0, 2
Let t(f) be the second derivative of -f**4/30 - 3*f**3/5 - 8*f**2/5 + 62*f. Factor t(n).
-2*(n + 1)*(n + 8)/5
What is p in -2/3 - 4/3*p**3 + 2/3*p**4 + 4/3*p + 0*p**2 = 0?
-1, 1
Let i = -1/745 - -801/41720. Let n(v) be the third derivative of -8/105*v**7 + 0 - i*v**8 - 1/15*v**5 + 0*v - 7/60*v**6 + 0*v**4 + 2*v**2 + 0*v**3. Factor n(l).
-2*l**2*(l + 1)**2*(3*l + 2)
Find v, given that 2/9*v**2 + 0 + 16/9*v = 0.
-8, 0
Suppose -4*u + 12 = 4*h - 8, -5*u = -h - 1. Solve -8*c**2 + 2*c**2 + 7*c**h + 0*c**4 - 2 + 10*c**3 - 10*c + c**4 = 0.
-1, -1/4, 1
Let l be (-3)/9 - 1/(-2). Let d(y) be the second derivative of -1/3*y**3 - y + l*y**4 + 0 + 0*y**2. Factor d(w).
2*w*(w - 1)
Let r = -5/51 - -71/204. Suppose f + 1 + r*f**2 = 0. Calculate f.
-2
Suppose d - 4 = -0. Suppose d = v + 2. Factor -4*g**4 - 3*g + g + 2*g**3 + 3*g**v + g**4 + g**5 - g**3.
g*(g - 2)*(g - 1)**2*(g + 1)
Let o(h) be the third derivative of -h**7/42 - h**6/2 - 11*h**5/6 + 35*h**4/2 - 245*h**3/6 + 3*h**2 + 2. Solve o(s) = 0.
-7, 1
Let l(x) be the first derivative of 2*x**5/5 - 3*x**4 + 6*x**3 + 4*x**2 - 24*x + 15. Let l(b) = 0. Calculate b.
-1, 2, 3
Factor 0 + 0*y + 2/13*y**4 - 2/13*y**5 + 0*y**2 + 0*y**3.
-2*y**4*(y - 1)/13
Factor -2*k - 3/2 + 15/2*k**2.
(3*k + 1)*(5*k - 3)/2
Let v(h) = -5*h**2 - 2*h + 5. Let z(s) = -6*s**2 - 3*s + 6. Let j(b) = 3*v(b) - 2*z(b). Factor j(d).
-3*(d - 1)*(d + 1)
What is p in -1/4*p**3 - 1/2*p**2 + 0*p + 0 = 0?
-2, 0
Suppose -7 = 2*r - 13. Let x(h) be the first derivative of 2/3*h + 1 + 2/3*h**2 + 2/9*h**r. Factor x(u).
2*(u + 1)**2/3
Let y = -17 + 19. Suppose 1 + 3 = y*f. Factor -6/5*d**f - 18/5*d**3 + 16/5*d + 8/5.
-2*(d - 1)*(3*d + 2)**2/5
Let p(k) = 17*k**4 - 31*k**3 - 9*k**2 + 9*k + 9. Let z(i) = 4*i**4 - 8*i**3 - 2*i**2 + 2*i + 2. Let r(d) = -4*p(d) + 18*z(d). Find c, given that r(c) = 0.
0, 5
Let b(o) be the third derivative of o**7/60 - o**6/90 - o**3/2 - o**2. Let z(f) be the first derivative of b(f). Factor z(c).
2*c**2*(7*c - 2)
Suppose 3*q - 12 = -5*z, -z - 2*q = -3*z - 8. Let k = -17 - -19. What is v in -1/4*v**3 + z + 1/4*v**k + 0*v = 0?
0, 1
Suppose -5*q - 3*o - 15 = 0, 0 = 4*q - 5*o - 0 + 12. Let g(t) = 3*t**2 + 10*t. Let d(y) = 3*y**2 + 9*y. Let l(k) = q*g(k) + 4*d(k). Let l(z) = 0. What is z?
-2, 0
Let n be 5 - ((-16)/(-4))/2. Let w(r) be the second derivative of 0 - 5/8*r**4 + 3/40*r**5 - 3*r**2 - 3*r + 2*r**n. Find m such that w(m) = 0.
1, 2
Let g(k) be the second derivative of -k**4/12 + k**3/2 + 2*k**2 - 2*k - 5. Factor g(n).
-(n - 4)*(n + 1)
Find u such that -6*u + u - 9*u + 30 - 5*u**2 - 11*u = 0.
-6, 1
Let v(q) be the first derivative of -q**3/12 - q**2/4 - q/4 + 7. Suppose v(g) = 0. Calculate g.
-1
Let z(r) be the second derivative of -r**7/2940 + r**6/420 - r**5/210 + 4*r**3/3 + 6*r. Let i(y) be the second derivative of z(y). Let i(k) = 0. Calculate k.
0, 1, 2
Suppose 0 + 3/8*i - 3/8*i**2 = 0. Calculate i.
0, 1
Factor 0 - p - 1/3*p**2.
-p*(p + 3)/3
Let p = -5 - -8. Suppose -101*m + 105*m = 0. Factor -2/5*q**p - 4/5*q**2 + m*q + 0.
-2*q**2*(q + 2)/5
Factor 1/4*q**5 + 0*q**2 + 0 + 1/2*q**4 - 3/4*q**3 + 0*q.
q**3*(q - 1)*(q + 3)/4
Let l be (-12)/(-30) - (2 + -2). Solve -2/5*m**2 + 4/5*m - l = 0.
1
Let g be 2/3 + 1467/27. Let w be g/105 - 1/(-7). What is c in -w*c**2 - 8/3 + 8/3*c = 0?
2
Let i(w) be the second derivative of w**7/14 + w**6/10 - 9*w**5/20 - w**4/4 + w**3 + 6*w. Factor i(d).
3*d*(d - 1)**2*(d + 1)*(d + 2)
Factor -3/4*v**3 + 0*v + 3/4*v**4 - 1/4*v**5 + 0 + 1/4*v**2.
-v**2*(v - 1)**3/4
Let c = 19/3 - 86/15. Factor c*d**3 + 3/5*d + 6/5*d**2 + 0.
3*d*(d + 1)**2/5
Let y = 25 - 11. Let n be (-4)/(-6) + y/6. Find m such that -4*m**3 - m**3 + 2*m**n + 3*m = 0.
-1, 0, 1
Suppose 5*y - 8 - 7 = 0. Suppose -2 = -y*u + 4. Find z such that -u*z**3 + 14*z**3 - 2*z**3 + 4*z**2 = 0.
-2/5, 0
Solve 1/8*s - 1/8*s**2 + 0 - 1/8*s**3 + 1/8*s**4 = 0 for s.
-1, 0, 1
Let r(v) = 3*v - 2 - v + 4*v - 5*v. Let h be r(2). Factor 0*l - 1/4*l**4 - 1/4*l**3 + 0*l**2 + h.
-l**3*(l + 1)/4
Let i(b) = -b**2 - 11*b - 6. Let d be i(-10). Solve 12*g**2 + 7*g - g + 2*g + d*g**3 = 0.
-2, -1, 0
Determine l, given that -1/5*l**2 - 7/5 + 8/5*l = 0.
1, 7
Suppose -3*g - 3*v - 80 = 2*g, 2*g + 36 = -2*v. Let i = g + 13. Factor -1/3*z**3 + i + 2/3*z**2 - 1/3*z.
-z*(z - 1)**2/3
Let z(f) = f**3 + 3*f**2 - 4*f + 4. Let h = -3 + -1. Let x be z(h). Factor 4*y + 7/5*y**3 - 8/5 - 18/5*y**2 - 1/5*y**x.
-(y - 2)**3*(y - 1)/5
Let o(k) be the first derivative of -1/20*k**4 + 2/5*k**2 + 2/5*k**3 - 8/5*k - 2 - 1/25*k**5. Factor o(s).
-(s - 2)*(s - 1)*(s + 2)**2/5
Suppose g + 0*g = 2. Suppose 4*q = -3*y + 14, -2*y = g*y - 8. Factor -4/3*v - 1/3*v**q - 4/3.
-(v + 2)**2/3
Let n be 1/((-10)/2)*-1. Determine k, given that -2/5*k - 1/5*k**2 - n = 0.
-1
Let d(o) be the third derivative of 1/210*o**7 + 0*o**3 - 1/24*o**4 + 0 - 1/40*o**6 + 7*o**2 + 1/20*o**5 + 0*o. Find y such that d(y) = 0.
0, 1
Let x(a) be the first derivative of a**4/26 + 10*a**3/39 + 7*a**2/13 + 6*a/13 + 30. Solve x(s) = 0 for s.
-3, -1
Let n(c) be the second derivative of 2*c**6/15 - c**5/5 - 4*c**4/3 + 8*c**3/3 - 19*c. Factor n(t).
4*t*(t - 2)*(t - 1)*(t + 2)
Let c(b) be the third derivative of 0*b + 5*b**2 + 1/270*b**5 + 4/27*b**3 + 1/27*b**4 + 0. What is j in c(j) = 0?
-2
Suppose -5*i + 0*i + 30 = 0. Let x = i + -3. Let