 + 4 - 6 + 3*l**2 + 6*l.
3*(l + 1)**2
Let j(w) be the first derivative of -w**4/7 + 20*w**3/21 - 12*w**2/7 + 21. Solve j(k) = 0.
0, 2, 3
Factor -10*y**2 - 26 - 15*y + 5*y**3 + 26.
5*y*(y - 3)*(y + 1)
Suppose 8 + 12 = 5*f. Let k(b) be the first derivative of 1/15*b**3 - 1/5*b - 1/20*b**f + 1/10*b**2 + 1. Factor k(p).
-(p - 1)**2*(p + 1)/5
Factor -4/7 + 3/7*i**2 - 1/7*i**4 - 2/7*i**3 + 4/7*i.
-(i - 1)**2*(i + 2)**2/7
Let -1/2*k**3 - 5/2*k**2 + 0 + 1/2*k**4 - 3/2*k = 0. Calculate k.
-1, 0, 3
Let r be 3/2 - 472/336. Let f(u) be the first derivative of -r*u**3 + 0*u - 2 + 1/7*u**2. Factor f(i).
-2*i*(i - 1)/7
Let g = 2 + 1. Let f be (-4)/(-3)*(-21)/(-14). What is r in -r**3 + 4 + 2*r**g - 4*r**2 + r**f = 0?
-1, 2
Let x(b) be the second derivative of 2/45*b**5 - 1/9*b**2 - 4/27*b**3 + 0 + 1/54*b**4 - b. Factor x(s).
2*(s - 1)*(s + 1)*(4*s + 1)/9
Let w(d) = -2*d**3 - 2*d**2. Let j(t) = t**4 + t**2. Let r(m) = 2*j(m) + w(m). Find o such that r(o) = 0.
0, 1
Factor 1/6*b**4 - 1/6*b**5 - 1/6*b**2 + 1/6*b**3 + 0 + 0*b.
-b**2*(b - 1)**2*(b + 1)/6
Let h(u) = 5*u**3 - 4*u - 4. Let l(z) = 4*z**3 + z**2 - 3*z - 3. Let m(v) = 3*h(v) - 4*l(v). Find t such that m(t) = 0.
-4, 0
Let m = 188 - 554/3. Let n be (2/5)/(0 + (-1)/(-5)). Let 2/3*x**4 + 0 - m*x**3 - 8/3*x + 16/3*x**n = 0. Calculate x.
0, 1, 2
Let g(i) be the first derivative of 4*i**5/5 + 3*i**4 + 8*i**3/3 + 7. Factor g(q).
4*q**2*(q + 1)*(q + 2)
Let d(g) be the first derivative of g**6/540 + g**5/180 + g**3 + 1. Let i(r) be the third derivative of d(r). Suppose i(m) = 0. Calculate m.
-1, 0
Let c(m) = 19*m**3 - 101*m**2 + 89*m - 7. Let b(o) = -6*o**3 + 34*o**2 - 30*o + 2. Let j(g) = -7*b(g) - 2*c(g). Determine z so that j(z) = 0.
0, 1, 8
Let b(f) be the third derivative of 0 + 4*f**2 + 0*f**3 + 0*f + 1/240*f**6 + 0*f**4 - 1/60*f**5. Factor b(c).
c**2*(c - 2)/2
Let z = 315499/10955 - -1/2191. Suppose -z*f - 3/5*f**3 + 36/5*f**2 + 192/5 = 0. What is f?
4
Let c be 2/(-4) + 4/8. Suppose c = 2*z + 2 - 6. Let -3*m**2 + 3 + 4*m**z + 3 - 4*m - 2 = 0. Calculate m.
2
Let b(p) be the third derivative of -p**6/720 + p**3/2 + 3*p**2. Let y(q) be the first derivative of b(q). Factor y(l).
-l**2/2
Let a(c) be the second derivative of 3*c**5/100 + 3*c**4/20 + c**3/5 + 4*c. Factor a(k).
3*k*(k + 1)*(k + 2)/5
Let n(q) be the first derivative of -2*q**3/9 + q**2/3 + 4*q/3 - 22. Factor n(b).
-2*(b - 2)*(b + 1)/3
Let q(w) be the first derivative of w**8/840 - w**7/175 + 2*w**5/75 - 2*w**2 + 2. Let n(h) be the second derivative of q(h). Let n(z) = 0. Calculate z.
-1, 0, 2
Let m(p) be the first derivative of -p**4/20 - 14*p**3/15 - 49*p**2/10 - 24. Factor m(o).
-o*(o + 7)**2/5
Suppose 4*u = 7*u. Suppose u = 4*o - 9*o - 2*h + 6, 3*h - 4 = -5*o. Factor 0 + 8/3*d + 2/3*d**3 + 8/3*d**o.
2*d*(d + 2)**2/3
Let s(k) be the third derivative of k**9/10080 + k**8/1440 + k**7/1260 + k**5/60 + 2*k**2. Let p(y) be the third derivative of s(y). Factor p(w).
2*w*(w + 2)*(3*w + 1)
Factor -8*t + 13*t + 25 - 3*t - 12*t + t**2.
(t - 5)**2
Let n(m) be the third derivative of m**7/210 + m**6/40 + 21*m**2. Let n(p) = 0. Calculate p.
-3, 0
Let z(r) = -5*r - 4 + 13 + r**2 + 5*r**3 + 5*r**4 - 6*r**2. Let h(x) = -x**4 - x**3 + x**2 + x - 2. Let c(y) = -9*h(y) - 2*z(y). Determine j so that c(j) = 0.
-1, 0, 1
Let p(t) be the third derivative of -t**7/840 + t**5/240 - 11*t**2. Let p(k) = 0. Calculate k.
-1, 0, 1
Let z(j) = -2*j - 8. Let x(p) = -p - 5. Let r be x(0). Let l be z(r). Factor t**4 - 3/2*t**l + 1/4*t + 1/2 + 3/4*t**5 - t**3.
(t - 1)*(t + 1)**3*(3*t - 2)/4
Let f(w) be the second derivative of 4*w - 1/60*w**6 - 1/24*w**4 + 1/4*w**3 + 1/2*w**2 + 0 - 3/40*w**5. Factor f(g).
-(g - 1)*(g + 1)**2*(g + 2)/2
Solve 16 + 367*v**2 - 185*v**2 - 186*v**2 = 0 for v.
-2, 2
Let d(g) = 15*g - 3. Let b be d(10). Factor -3 - 159*t**2 - 9*t**3 + 9 + 3*t + b*t**2.
-3*(t + 1)**2*(3*t - 2)
Factor -1/7*j**4 - 1/7 + 1/7*j + 1/7*j**5 - 2/7*j**3 + 2/7*j**2.
(j - 1)**3*(j + 1)**2/7
Let u(o) be the first derivative of -2/35*o**5 + 2/7*o + 0*o**3 - 1 + 1/7*o**4 - 2/7*o**2. Factor u(x).
-2*(x - 1)**3*(x + 1)/7
Factor -14/11*o - 6/11*o**3 + 16/11*o**2 + 4/11.
-2*(o - 1)**2*(3*o - 2)/11
Let b(u) be the third derivative of -5*u**8/224 + 3*u**7/35 - u**6/20 + 10*u**2. Factor b(i).
-3*i**3*(i - 2)*(5*i - 2)/2
Factor 0 + 0*s + 10/13*s**3 + 6/13*s**2 - 2/13*s**5 + 2/13*s**4.
-2*s**2*(s - 3)*(s + 1)**2/13
Let s be (1/2)/(5/(-30)). Let l be 2/1 - (s + 3). Factor -l*c**2 + 0*c + 0*c.
-2*c**2
Factor -9*b + 3*b**4 + 6 + 27*b**2 + 4*b**3 - 19*b**3 - 12*b.
3*(b - 2)*(b - 1)**3
Let i be 50/6 - (-2)/(-6). Let k be 26/i - 1/4. Factor -2*j**k + j**3 - 2*j + 3*j.
-j*(j - 1)*(j + 1)
Suppose 0 = o - 3. Suppose 0 = -o*f + 7*f - 8. Find l such that 0 + l + 2 + 7*l + 2*l**f - 4*l = 0.
-1
Let p(k) = -9*k**5 + 9*k**4 + 15*k - 9. Let h(y) = y**5 - y**3 - y**2 - y + 1. Let m(g) = 6*h(g) + p(g). Let m(o) = 0. What is o?
-1, 1
Let f(v) = 1. Let d(h) be the first derivative of -h**3/3 + 2*h**2 - 7*h - 1. Let u(g) = d(g) + 3*f(g). Let u(t) = 0. What is t?
2
Let m(b) = b**4 + b**3 + 1. Let r(f) be the first derivative of f**6/6 + 11*f**5/5 + 3*f**4 + 2*f**3/3 + 7*f - 2. Let h(g) = -21*m(g) + 3*r(g). Factor h(j).
3*j**2*(j + 1)**2*(j + 2)
Factor -22/19*z - 2/19*z**3 - 12/19*z**2 - 12/19.
-2*(z + 1)*(z + 2)*(z + 3)/19
Let -p - 3*p**3 + 2 - p**3 - p + 6*p - 2*p**4 = 0. Calculate p.
-1, 1
Let t(w) be the first derivative of 5*w**6/2 - 2*w**5 - 5*w**4 + 10*w**3/3 + 5*w**2/2 + 56. Suppose t(o) = 0. What is o?
-1, -1/3, 0, 1
Let y(w) be the third derivative of -w**6/360 + w**5/30 - w**4/6 - w**3/3 - 4*w**2. Let u(j) be the first derivative of y(j). Find b, given that u(b) = 0.
2
Let d(h) be the second derivative of 3/2*h**2 + 1/45*h**5 - 1/60*h**6 + 1/12*h**4 - 2*h + 0 - 2/9*h**3. Let o(a) be the first derivative of d(a). Factor o(y).
-2*(y - 1)*(y + 1)*(3*y - 2)/3
Let m(x) be the first derivative of -6*x**5/35 - 9*x**4/28 + 3*x**2/14 + 15. Factor m(u).
-3*u*(u + 1)**2*(2*u - 1)/7
Let p = 2 - -3. Suppose 2*g - p = 3. Solve -2/3*a + 16/3*a**5 - 22/3*a**2 + 2/3 - 52/3*a**g + 58/3*a**3 = 0.
-1/4, 1/2, 1
Let w = -181 - -8689/48. Let k(m) be the third derivative of 3*m**2 + 0 + 1/210*m**7 - 1/60*m**5 + 0*m**3 + 0*m + 1/240*m**6 - w*m**4. Factor k(z).
z*(z - 1)*(z + 1)*(2*z + 1)/2
Factor 2/11*m**2 + 2/11*m + 0.
2*m*(m + 1)/11
Let p = 40 - 278/7. Let r be (-6)/5*5/(-2). Find a, given that 0 - 2/7*a**2 + 0*a + p*a**r = 0.
0, 1
Let y(x) = -x**2 - x. Let b(f) = 3*f**2 + 13*f - 8. Let r(n) = b(n) + 5*y(n). Factor r(w).
-2*(w - 2)**2
Factor -2*l + l**2 + 7*l**2 - 8 + l**3 + l.
(l - 1)*(l + 1)*(l + 8)
Let q(m) = 8*m**2 - 9*m - 6. Let z(d) = 0 + 0 - 7*d**2 + d + 7*d + 5. Let a(t) = -6*q(t) - 7*z(t). Factor a(l).
(l - 1)**2
Let b(g) be the first derivative of g**4/4 + 2*g**3 + 9*g**2/2 + 4*g + 45. What is d in b(d) = 0?
-4, -1
Let p(c) = -15*c**4 + 5*c + 3*c**4 - c + 12*c**2 - 8*c**3. Let o(g) = 13*g**4 + 7*g**3 - 13*g**2 - 4*g. Let f(t) = 4*o(t) + 3*p(t). Factor f(d).
4*d*(d - 1)*(d + 1)*(4*d + 1)
Suppose -2 = -5*k - 7. Let x = 3 - k. Determine a, given that -2/3*a**2 - 6*a**x - 4*a**3 + 0*a + 0 = 0.
-1/3, 0
Suppose 4*w + u = -3*u, 0 = 4*w + 3*u - 4. Let s be 0*2/(-4) + 4. Factor -2*q**3 + 9*q**w - 2*q**s + q**4.
2*q**3*(4*q - 1)
Let a = -32 - -34. Let n(h) be the second derivative of 0 + 3*h - 1/7*h**a + 4/21*h**3 - 1/7*h**4 - 1/105*h**6 + 2/35*h**5. Let n(g) = 0. What is g?
1
Suppose -31*q + 31 = -31. Factor 2/15*f**5 + 0*f**q + 0*f + 4/15*f**4 + 0 + 2/15*f**3.
2*f**3*(f + 1)**2/15
Suppose -2*x = 3*f - 4*x - 16, -4*f - 5*x = 17. Let l(g) be the second derivative of 0 - 4/15*g**6 + 0*g**2 + f*g + 0*g**3 - 1/24*g**4 - 1/5*g**5. Factor l(y).
-y**2*(4*y + 1)**2/2
Let h = -58 + 58. Suppose k**2 + 0 - 5/2*k**3 - 1/2*k**4 + 3*k**5 + h*k = 0. Calculate k.
-1, 0, 1/2, 2/3
Suppose 6 = -2*o + 4*o. Let s(l) be the first derivative of 0*l**2 + 4/3*l**o - 2/5*l**5 - 2 - 2*l + 0*l**4. What is i in s(i) = 0?
-1, 1
Factor 2/21*q**4 + 0 + 0*q**3 + 0*q + 0*q**2 + 2/21*q**5.
2*q**4*(q + 1)/21
Let j(l) be the first derivative of -4*l**2 + 2 - 4/3*l**3 + 5/2*l**4 + l. Let m(o) be the first derivative of j(o). Determine h so that m(h) = 0.
-2/5, 2/3
Suppose 153*m - 6 = 151*m. Solve 8*p**m + 8/3*p**2 - 32/3*p - 16/3 - 3*p**4 = 0 for p.
-2/3, 2
Let 