+ 3*h**2 + 3 - 2*h**2 + 2 + 4 = 0?
3
Let i(q) be the second derivative of -22*q**6/15 + 31*q**5/5 + 50*q**4/3 + 16*q**3/3 - 70*q. Solve i(f) = 0 for f.
-1, -2/11, 0, 4
Let u be (-2)/(6*11/(-132)) - 2. Determine o so that -10/3 - 7/3*o**3 - 26/3*o**u + 43/3*o = 0.
-5, 2/7, 1
Let r = 18 - -13. Let j = r - 29. Factor 0*m**4 + 1/3*m**3 + 0 - 1/6*m**5 + 0*m**j - 1/6*m.
-m*(m - 1)**2*(m + 1)**2/6
Let f = -1 - 2. Let n = f - -5. Factor 6*c - 3*c**3 - 16 + c**2 - 4*c**n + 16.
-3*c*(c - 1)*(c + 2)
Let a(f) be the third derivative of 1/90*f**6 + 0*f + 0 - 13*f**2 - 1/36*f**4 + 1/180*f**5 + 0*f**3 - 1/210*f**7. Factor a(b).
-b*(b - 1)**2*(3*b + 2)/3
Let f(d) be the third derivative of 1/330*d**5 + 0*d - 17*d**2 - 1/660*d**6 + 0*d**3 + 0 + 1/132*d**4 - 1/1155*d**7. What is l in f(l) = 0?
-1, 0, 1
Let z = 814/1545 + 72/515. Suppose 2/3*q**5 + 0 - 10/3*q**3 - 2*q**2 - z*q**4 + 0*q = 0. Calculate q.
-1, 0, 3
Let d(r) be the first derivative of -4*r**3/15 - 4*r**2 + 96*r/5 - 36. Factor d(s).
-4*(s - 2)*(s + 12)/5
Suppose -182 = -3*o - u + 5*u, 0 = 3*o - 5*u - 178. Factor 45 + 12*j**2 + 171 + 6*j**2 + 42*j + o*j + j**3.
(j + 6)**3
Determine p, given that 15*p**4 - 37*p**2 + 69*p**3 - 23*p**2 - 6*p**5 + 12*p - 12*p**5 = 0.
-2, 0, 1/3, 1/2, 2
Let t(w) be the first derivative of w**6/900 - w**5/150 + 8*w**3/3 + 4. Let c(k) be the third derivative of t(k). Let c(o) = 0. Calculate o.
0, 2
Let v = 27782/5 - 5554. Suppose v + 14/5*j + 2/5*j**2 = 0. What is j?
-6, -1
Let k(w) be the first derivative of 5*w**4/12 + 55*w**3/3 + 605*w**2/2 - 16*w + 42. Let a(t) be the first derivative of k(t). Factor a(i).
5*(i + 11)**2
Let w = 14/33 - 83/66. Let q = w - -3/2. Factor -1/3*r**5 + 0*r**4 + 0*r**2 + 0 + q*r**3 - 1/3*r.
-r*(r - 1)**2*(r + 1)**2/3
Solve -d + 9*d**3 + 3455*d**2 - 3452*d**2 - 2*d - 6*d**5 - 3*d**4 = 0 for d.
-1, 0, 1/2, 1
Let p(j) = -2*j**3 - 56*j**2 - 58*j. Let v(r) = -5*r**3 - 166*r**2 - 172*r. Let w(f) = 11*p(f) - 4*v(f). Let w(d) = 0. Calculate d.
-1, 0, 25
Let x be (3 - 28)/5*(-11)/110. Determine f so that -9/2*f**3 + 0 + 12*f**2 - 8*f + x*f**4 = 0.
0, 1, 4
Factor 0 + n - 7/6*n**4 - 13/3*n**3 - 13/6*n**2.
-n*(n + 1)*(n + 3)*(7*n - 2)/6
Determine j, given that 243/2*j**5 - 48*j**3 + 0 + 0*j - 6*j**2 - 135/2*j**4 = 0.
-2/9, 0, 1
Let z(i) = -15*i - 16*i**4 + 30*i**3 + 2*i**4 + 6*i**4 - 23*i**5. Let k(q) = 15*q**5 + 5*q**4 - 20*q**3 + 10*q. Let w(v) = 8*k(v) + 5*z(v). Factor w(l).
5*l*(l - 1)**2*(l + 1)**2
Solve -8/3*a**4 + 8/3*a**2 + 0 - 10/3*a**3 + 3*a + 1/3*a**5 = 0.
-1, 0, 1, 9
Let c(o) = -o**2 + 7*o - 4. Let t be c(6). Suppose -t*q + 5*u - 6 = 0, -2*q = 5*u - 11 - 3. Factor 1 + 3 + 2*k**3 + 2*k**4 - 6*k**2 + 0*k**2 - q*k.
2*(k - 1)**2*(k + 1)*(k + 2)
Suppose -84*j = -24*j - 120. Let l(k) be the third derivative of -1/144*k**4 - 4*k**j + 0*k**3 + 1/1260*k**7 + 0 + 0*k + 1/120*k**5 - 1/240*k**6. Factor l(a).
a*(a - 1)**3/6
Let x(h) = h**3 - 55*h**2 - 12*h. Let s(d) = -3*d**2 + d. Let f(v) = 22*s(v) - 2*x(v). Factor f(l).
-2*l*(l - 23)*(l + 1)
Let l(c) = -120*c + 722. Let q be l(6). Let g(d) be the first derivative of 13 - 2*d**q + 4*d - 1/3*d**3 + 1/4*d**4. Find z, given that g(z) = 0.
-2, 1, 2
Let w(c) be the third derivative of c**7/350 - 3*c**6/100 + 9*c**5/100 + c**4/10 - 6*c**3/5 + 377*c**2. Suppose w(k) = 0. What is k?
-1, 2, 3
Let b(z) be the second derivative of -z**4/3 + 2*z**3/3 + 4*z**2 - z - 20. Determine y, given that b(y) = 0.
-1, 2
Let y(f) be the third derivative of 0*f + 0 + 0*f**3 + 9*f**2 + 0*f**5 - 1/630*f**7 - 1/360*f**6 + 0*f**4. Factor y(o).
-o**3*(o + 1)/3
Suppose -3*i - 5*k - 22 = 0, 3*i + 4*k - k + 30 = 0. Let m = 16 + i. Factor -5*a**3 + 13 - 17 - 3*a**3 + 12*a**m.
-4*(a - 1)**2*(2*a + 1)
Let v(j) be the second derivative of -j**6/270 + j**5/36 + j**4/54 - 4*j**3/9 + 714*j. Factor v(l).
-l*(l - 4)*(l - 3)*(l + 2)/9
Suppose -4*q = q. Let a = -908 - -911. Find i such that 0 - 22/3*i**a + 32/3*i**4 + q*i - 14/3*i**5 + 4/3*i**2 = 0.
0, 2/7, 1
Let g(z) be the second derivative of z**6/195 + z**5/65 - z**4/78 - 2*z**3/39 - 81*z. Factor g(h).
2*h*(h - 1)*(h + 1)*(h + 2)/13
Factor 0 + 2/15*q**4 - 2/5*q**3 - 2/15*q**2 + 2/5*q.
2*q*(q - 3)*(q - 1)*(q + 1)/15
Let c be ((-9)/(-12))/(0 - 1 - -2). Let i be (-6 + 3)/(-3) - -2. Factor 0 + c*h**4 - 3/4*h**i + 0*h - 3/2*h**2.
3*h**2*(h - 2)*(h + 1)/4
Let b(i) be the third derivative of i**7/70 - i**6/8 + 7*i**5/20 - 3*i**4/8 + 10*i**2 + 2. Factor b(j).
3*j*(j - 3)*(j - 1)**2
Let l be 4/(8/3)*(-4)/(-1608). Let w = l + 2407/1340. Factor w*k + 6/5 + 3/5*k**2.
3*(k + 1)*(k + 2)/5
Let x(y) = -3*y**4 + y**2 - y. Let c(o) = 3*o**4 - 56*o**3 - 111*o**2 - 69*o - 14. Let d(i) = c(i) + 3*x(i). Determine f, given that d(f) = 0.
-7, -1, -1/3
Let k(v) be the second derivative of v**6/150 + 7*v**5/100 + v**4/5 - 2*v**3/15 - 8*v**2/5 - 5*v + 1. Factor k(w).
(w - 1)*(w + 2)**2*(w + 4)/5
Determine z, given that 49 - 64*z**2 - 31 - 36*z - 87*z + 196*z**2 = 0.
2/11, 3/4
Let o(d) be the second derivative of d**7/168 + d**6/15 + 11*d**5/80 - d**4/6 - d**3/2 + 731*d. Let o(h) = 0. What is h?
-6, -2, -1, 0, 1
Let b = -12907/65 + 2584/13. Factor 0 + b*m**2 - 4/5*m.
m*(m - 4)/5
Suppose -3*q = 4*y - 14 + 10, -8*q = 4*y + 16. Let s(o) be the second derivative of -12*o + 5/42*o**y + 25/21*o**3 + 1/210*o**5 + 0 + 125/21*o**2. Factor s(b).
2*(b + 5)**3/21
Let y(d) be the first derivative of 3*d**7/1960 - d**6/120 + 2*d**5/105 - d**4/42 - 2*d**3 - 5. Let c(s) be the third derivative of y(s). Factor c(n).
(n - 1)*(3*n - 2)**2/7
Let a(r) = 5*r**2 - 14*r - 19. Let j(x) = 4*x**2 - 14*x - 18. Let v = 44 + -50. Let g(u) = v*a(u) + 7*j(u). Factor g(h).
-2*(h + 1)*(h + 6)
Let s be 3/(9/28)*(-80)/(-280). Suppose s + 0*o - 2*o**2 - 2/3*o**3 = 0. Calculate o.
-2, 1
Let h(y) be the second derivative of -13/10*y**6 + 3*y**2 + 0 + 11/2*y**3 + 11/4*y**4 - 9*y - 21/20*y**5 - 2/7*y**7. What is g in h(g) = 0?
-2, -1, -1/4, 1
Let c(t) = -2*t**3 + 33*t**2 + 18*t - 15. Let i be c(17). Factor -63*v - 15*v**i - 8 - 2 - v**3 - 39.
-(v + 1)*(v + 7)**2
Let n(x) be the second derivative of -x**5/24 - 5*x**4/4 - 15*x**3 - 11*x**2/2 + 30*x. Let j(m) be the first derivative of n(m). Factor j(a).
-5*(a + 6)**2/2
Let d(c) be the first derivative of 0*c + 3 - c**2 - 1/4*c**4 + c**3. Factor d(s).
-s*(s - 2)*(s - 1)
Factor 3/4*x**2 - 9 + 33/4*x.
3*(x - 1)*(x + 12)/4
Suppose -3*q = -4*b - 2*q + 52, 4*q + 54 = 5*b. Let j(z) = -2 - 7*z - 8*z + z**2 + b*z. Let t(w) = 2*w**2 - 2*w - 4. Let v(y) = -5*j(y) + 2*t(y). Factor v(l).
-(l - 2)*(l + 1)
Factor 18*l**2 - 116/5*l + 2/5*l**4 - 24/5*l**3 + 48/5.
2*(l - 6)*(l - 4)*(l - 1)**2/5
Factor -153*c**3 - 52*c**2 + 10 + 43*c + 162*c**3 - 10*c.
(c - 5)*(c - 1)*(9*c + 2)
Let d(n) be the second derivative of -n**4/12 - 7*n**3/6 + 4*n**2 + 161*n. Factor d(r).
-(r - 1)*(r + 8)
Suppose -4*u = -2*n - 22, -3 = 15*n - 14*n. Factor 0 + 2/3*x**2 + 0*x - 1/3*x**3 - 1/3*x**u.
-x**2*(x - 1)*(x + 2)/3
Let b(j) be the second derivative of -j**9/1008 + j**7/140 - j**5/40 + 4*j**3/3 + 10*j. Let s(i) be the second derivative of b(i). Let s(t) = 0. What is t?
-1, 0, 1
Let m(w) be the second derivative of 25*w + 1/60*w**4 + 0 + w**3 + 45/2*w**2. Factor m(x).
(x + 15)**2/5
Let y(i) be the first derivative of i**5/45 - i**4/36 - i**3/9 + i**2/18 + 2*i/9 + 13. Factor y(s).
(s - 2)*(s - 1)*(s + 1)**2/9
Let x(b) be the first derivative of -b**3/3 + 11*b**2/2 - 18*b - 473. Factor x(f).
-(f - 9)*(f - 2)
Let z(v) be the first derivative of 2*v**3/15 - 208*v**2/5 + 21632*v/5 + 252. Factor z(n).
2*(n - 104)**2/5
Solve -24/7*q**3 + 20/7*q + 24/7 - 32/7*q**2 + 8/7*q**4 + 4/7*q**5 = 0.
-3, -1, 1, 2
Let d(l) be the third derivative of l**8/84 + 8*l**7/35 - 14*l**6/15 + 2*l**5/15 + 9*l**4/2 - 28*l**3/3 + 5*l**2 + 4. Factor d(a).
4*(a - 1)**3*(a + 1)*(a + 14)
Let d(g) be the third derivative of 6859*g**6/3 - 1083*g**5 + 855*g**4/4 - 45*g**3/2 - 130*g**2. Suppose d(a) = 0. Calculate a.
3/38
Let p be 5 - (-9)/(-2 + -1). Suppose 0 = -d + 2 - 0. Determine s, given that 2*s**2 + d - 4*s**p + 20*s**3 + 2*s - 22*s**3 = 0.
-1, 1
Let c = 325 + -325. Let y(d) be the third derivative of 5*d**2 + 1/150*d**5 + 0*d**3 + c + 0*d + 0*d**4. Factor y(k).
2*k**2/5
Let p be 1650/42 + 3 - 4/14. Suppose p*q**2 - 17*q**2 - 27*q**2 - 12*q = 0. What is q?
-6, 0
Let c(x) = 33*x**4 - 