**3 - 5*b**2 - 23*b - 7. Let t(p) = 27*p**3 - 12*p**2 - 57*p - 18. Let r be 1/(50/24 + -2). Let k(f) = r*g(f) - 5*t(f). Solve k(j) = 0.
-1, 2
Let p(y) be the second derivative of -y**4/66 + y**3/11 - 2*y**2/11 - 7*y. Suppose p(d) = 0. What is d?
1, 2
Suppose 0 + 4/5*l + 14/5*l**2 = 0. Calculate l.
-2/7, 0
Let r(d) = 3*d - 1. Let h be r(2). Let -7*m**2 + h*m**3 - 4*m**3 + 6*m**2 = 0. Calculate m.
0, 1
Suppose 0 = 6*i - 7*i + 3. Let j(b) be the first derivative of -b**i + 1 + 3*b**2 + 1/8*b**4 - 4*b. Solve j(r) = 0 for r.
2
Let q(t) be the second derivative of -t**6/1080 + t**5/180 + t**3/2 + 2*t. Let h(p) be the second derivative of q(p). Factor h(z).
-z*(z - 2)/3
Let m(s) be the second derivative of 2*s**6/45 + s**5/60 - s**4/3 + 5*s**3/18 + s**2/3 - s + 24. Factor m(y).
(y - 1)**2*(y + 2)*(4*y + 1)/3
Let v(w) be the third derivative of w**6/320 - 3*w**5/160 + 3*w**4/64 - w**3/16 + 25*w**2. Factor v(g).
3*(g - 1)**3/8
Let p be (-21)/7 - (-11 + 3). Determine i so that 0 + 9*i**4 - 3*i**2 + 20/3*i**p + 2/3*i - 4/3*i**3 = 0.
-1, 0, 1/4, 2/5
Let c(x) be the third derivative of -x**2 + 0*x - 1/420*x**6 + 0 - 1/21*x**3 + 1/84*x**4 + 1/210*x**5. Let c(k) = 0. What is k?
-1, 1
Let t = 48 - 41. Let s(g) be the second derivative of 1/9*g**4 - 2/45*g**6 + 1/42*g**t - 1/30*g**5 - 1/18*g**3 + 0*g**2 + 0 - g. Solve s(j) = 0 for j.
-1, 0, 1/3, 1
Let j(k) = -2*k**5 + 7*k**4 + 11*k**3 - 9*k - 7. Let g(h) = -h**5 + 3*h**4 + 5*h**3 - 4*h - 3. Let l(q) = 14*g(q) - 6*j(q). Factor l(w).
-2*w*(w - 1)**2*(w + 1)**2
Determine n, given that 0 + 12/7*n**3 + 4/7*n**4 + 12/7*n**2 + 4/7*n = 0.
-1, 0
Let h(v) = 27*v**4 + 18*v**3 - 33*v**2 - 60*v + 60. Let f(b) = 11*b**4 + 7*b**3 - 13*b**2 - 24*b + 24. Let o(t) = 12*f(t) - 5*h(t). Solve o(s) = 0 for s.
-2, 1
Let w(s) be the second derivative of -s**5/70 - s**4/14 + s**3/21 + 3*s**2/7 - 6*s. Factor w(z).
-2*(z - 1)*(z + 1)*(z + 3)/7
Let b be (1*(-3)/(-2))/(6/8). Suppose 0*r + 0*r**3 - 2/9*r**4 + 4/9*r**b - 2/9 = 0. Calculate r.
-1, 1
Let b(c) be the third derivative of -c**9/5040 + c**7/840 - c**4/6 - 3*c**2. Let u(d) be the second derivative of b(d). What is p in u(p) = 0?
-1, 0, 1
Let f = 31 - 31. Let m(r) be the second derivative of 2*r**3 + r + f - 2*r**2 - 3/4*r**4. Factor m(u).
-(3*u - 2)**2
Let x(y) be the second derivative of y**7/9 - y**6/5 + y**5/15 + 3*y. Factor x(p).
2*p**3*(p - 1)*(7*p - 2)/3
Solve -24*m + 64*m**2 + 16*m**2 - 28*m**4 + 64*m**3 - 12*m**2 = 0 for m.
-1, 0, 2/7, 3
Let i be (76/(-28) + 3)/(36/28). Factor 2/9*w - 2/9*w**3 - 2/9 + i*w**2.
-2*(w - 1)**2*(w + 1)/9
Suppose t = 2 + 3. Let f(z) be the second derivative of 1/60*z**t + 0*z**3 - 1/90*z**6 + 1/36*z**4 + 0*z**2 - 1/126*z**7 + 0 - 2*z. Factor f(i).
-i**2*(i - 1)*(i + 1)**2/3
Find g, given that -12 + 4*g**2 - g**2 + 9 = 0.
-1, 1
Let j(u) be the second derivative of -u**5/110 + u**3/33 - 3*u. Determine s, given that j(s) = 0.
-1, 0, 1
Let o(q) be the first derivative of -q**3/6 + q**2 - 2*q - 18. Factor o(u).
-(u - 2)**2/2
Let f = -789/5 - -159. Factor -f*z + 3/5 + 3/5*z**2.
3*(z - 1)**2/5
Solve 1/2*m - 1/2*m**2 + 0 = 0.
0, 1
Let n be 1 - ((-56)/21 - 4/(-2)). Factor 0 + 1/3*r**4 + 4/3*r**3 + n*r**2 + 2/3*r.
r*(r + 1)**2*(r + 2)/3
Let x(f) = -2*f**2 - f + 1. Let r(d) = -3*d**2 - d + 2. Let q(c) = 5*r(c) - 7*x(c). Factor q(i).
-(i - 3)*(i + 1)
Let j(r) = r**2 + r + 1. Let y(v) = -10*v**2 - 27*v - 13. Let t(l) = 5*j(l) + y(l). Factor t(w).
-(w + 4)*(5*w + 2)
Let w(u) be the second derivative of -u**6/300 - u**5/150 + 5*u**2/2 - 2*u. Let p(q) be the first derivative of w(q). Factor p(s).
-2*s**2*(s + 1)/5
Let a(h) be the second derivative of -h**6/288 - 7*h**5/480 - h**4/48 + h**3/3 - 2*h. Let l(t) be the second derivative of a(t). Factor l(o).
-(o + 1)*(5*o + 2)/4
Factor 22*g**2 + 15*g - 10*g**2 + 38*g**2.
5*g*(10*g + 3)
Let p(j) be the first derivative of 2*j**3/15 - 18*j/5 - 21. Factor p(d).
2*(d - 3)*(d + 3)/5
Factor -4*n**3 + 1 + 6*n**5 + 4*n**3 - 4*n**2 + 2*n**3 + 3*n**4 - 8*n**5.
-(n - 1)**3*(n + 1)*(2*n + 1)
Let p = -489 + 492. Determine l, given that 8/5*l + 12/5*l**2 + 8/5*l**p + 2/5 + 2/5*l**4 = 0.
-1
Let n be 25/7 + 24/(-42). Let l(i) be the second derivative of 2/21*i**n + 0 + 1/42*i**4 + 1/7*i**2 + i. Suppose l(w) = 0. Calculate w.
-1
Let f(t) be the second derivative of t**4/12 - t**3/3 - 3*t**2/2 + 8*t. Determine q, given that f(q) = 0.
-1, 3
Let l(q) be the first derivative of -q**6/5 - 4*q**5/5 - 7*q**4/6 - 2*q**3/3 - 4*q + 2. Let c(b) be the first derivative of l(b). Determine a so that c(a) = 0.
-1, -2/3, 0
Let h = -70 - -73. Factor 0*c**2 - 2/5*c**4 + 0*c**h + 0*c + 2/5*c**5 + 0.
2*c**4*(c - 1)/5
Suppose 2 - 2/5*b**2 - 8/5*b = 0. What is b?
-5, 1
Let f(o) be the third derivative of o**10/15120 - o**9/4320 + o**8/5040 - o**5/15 - o**2. Let d(a) be the third derivative of f(a). Factor d(g).
2*g**2*(g - 1)*(5*g - 2)
Let u(c) = 2*c**3 + 12*c + c**3 + 0*c**2 - 2*c**3 + c**2 + 8. Let q(d) = -d**2. Let y(r) = -15*q(r) + 3*u(r). Factor y(m).
3*(m + 2)**3
Let m(q) = -2*q**2 - q - 2. Let d be (-13 - -4) + (1 - 1). Let j(w) = -3*w**2 - 3*w - 3. Let l(k) = d*m(k) + 5*j(k). Solve l(x) = 0.
1
Factor 4/3*z**2 - 10/3*z**3 + 0 + 0*z - 14/3*z**4.
-2*z**2*(z + 1)*(7*z - 2)/3
Suppose 83*m - 81*m - 6 = 0. Factor -6/5*u**2 + 0 - 3/5*u + 9/5*u**m.
3*u*(u - 1)*(3*u + 1)/5
Let v(n) be the first derivative of n**6/21 - 12*n**5/35 + 6*n**4/7 - 16*n**3/21 - 1. Factor v(u).
2*u**2*(u - 2)**3/7
Let t(s) = 28*s**3 - 6*s**2 - 14*s + 13. Let z(y) = -19*y**3 + 4*y**2 + 9*y - 9. Let c(m) = -5*t(m) - 7*z(m). Factor c(f).
-(f - 1)*(f + 1)*(7*f - 2)
Let h(d) be the second derivative of d**5/210 - d**4/42 + d**3/21 + 5*d**2/2 + 5*d. Let v(j) be the first derivative of h(j). Factor v(g).
2*(g - 1)**2/7
Suppose 80*m + 52*m**2 + 14 - 16*m**2 + 2 = 0. Calculate m.
-2, -2/9
Let x(h) be the second derivative of -h**6/540 + h**3/2 - 3*h. Let k(g) be the second derivative of x(g). Let k(t) = 0. What is t?
0
Let a(j) be the first derivative of 5*j**3/3 - 5*j**2/2 + 2. Factor a(s).
5*s*(s - 1)
Let o(w) = -w - 4. Let x be o(-8). Let r = x - 1. Factor 0*h + 2*h**3 - 3*h**r - h**3 + 2*h.
-2*h*(h - 1)*(h + 1)
Let n = 53/3390 + 2/113. Let k(x) be the third derivative of 0*x**3 + 0*x + 0 + n*x**5 - 1/120*x**6 - 1/24*x**4 - x**2. Factor k(p).
-p*(p - 1)**2
Let h(f) be the second derivative of f**7/42 - f**5/5 + f**4/6 + f**3/2 - f**2 + 5*f. Let h(i) = 0. Calculate i.
-2, -1, 1
Let j(g) be the second derivative of 5*g**7/63 + 13*g**6/36 + 7*g**5/24 - 55*g**4/72 - 55*g**3/36 - 5*g**2/6 + 2*g - 5. Let j(t) = 0. What is t?
-2, -1, -1/4, 1
Suppose 4*h - 13 = 19. Suppose -4*g + h*g = 0. Factor -1/3*q**2 + 0 + 0*q + 1/3*q**4 + g*q**3.
q**2*(q - 1)*(q + 1)/3
Let k(l) = -l - 9. Let x be k(-11). Let v(h) be the third derivative of -1/120*h**5 + 0*h**3 + 0*h - h**x + 0 - 1/48*h**4. Factor v(f).
-f*(f + 1)/2
Let c = -322108409479/5511 - -58448269. Let r = 2/501 + c. Factor 0 + 0*o + 4/11*o**2 - r*o**3.
-2*o**2*(o - 2)/11
What is l in 1/10*l**3 + 0 + 1/5*l**2 + 1/10*l = 0?
-1, 0
Let -75*w**4 - 2*w + 2*w - 2*w**3 + 71*w**4 - 2*w**5 = 0. What is w?
-1, 0
Let b be 0 + 6/(6/2). Suppose -6*z + 20 = -z. Factor -2*f**4 - 5*f**z - 1 + 2*f**b + 6*f**4.
-(f - 1)**2*(f + 1)**2
Let o(s) be the third derivative of s**10/10080 - s**9/5040 + s**4/6 + s**2. Let m(c) be the second derivative of o(c). Find w such that m(w) = 0.
0, 1
Let a be (-185)/(-102) + (9 - 6). Let d = a - 5/34. Factor 32/3*s**3 + 0 + 4/3*s - 22/3*s**2 - d*s**4.
-2*s*(s - 1)**2*(7*s - 2)/3
Let d(c) be the third derivative of c**8/30240 + c**7/2835 + c**6/810 - c**4/8 - 2*c**2. Let l(m) be the second derivative of d(m). Find q such that l(q) = 0.
-2, 0
Let n(y) be the first derivative of -3*y**4 + 0*y + 8/3*y**3 - 1/3*y**6 + 2 + 8/5*y**5 - y**2. Factor n(b).
-2*b*(b - 1)**4
Let s(r) be the third derivative of 0*r - 1/120*r**6 - 4*r**2 + 9/2*r**3 + 0 - 9/8*r**4 + 3/20*r**5. What is l in s(l) = 0?
3
Let q = -1/74 - -43/444. Let n(w) be the second derivative of w - w**2 + q*w**4 + 0 - 1/6*w**3. Factor n(a).
(a - 2)*(a + 1)
Let k(c) be the second derivative of 5*c**8/168 - 4*c**7/35 + 3*c**6/20 - c**5/15 + 3*c**2/2 - 3*c. Let h(a) be the first derivative of k(a). Factor h(b).
2*b**2*(b - 1)**2*(5*b - 2)
Solve 552*f**3 - 546*f**3 + 4 - f**4 - 2*f