k + 3/2*k**4 + 24 = 0. Calculate k.
-2, 2
Suppose f + 2*f + 117 = 0. Suppose 22*d - 211 = -79. Let a(h) = -3*h**2. Let b(m) = -19*m**2. Let g(v) = d*b(v) + f*a(v). Factor g(k).
3*k**2
Factor 0 - 11/2*z + 1/2*z**2.
z*(z - 11)/2
Let l(c) be the second derivative of -c**7/21 - 7*c**6/15 - 3*c**5/2 - 13*c**4/6 - 4*c**3/3 - 118*c. Factor l(u).
-2*u*(u + 1)**3*(u + 4)
Let t = -43/6 - -131/18. Let o(v) be the second derivative of -1/45*v**6 - 1/6*v**4 - 1/10*v**5 + 0*v**2 - t*v**3 + 6*v + 0. Determine p, given that o(p) = 0.
-1, 0
Let i(x) be the third derivative of 1/210*x**5 + 0 - 41*x**2 + 0*x + 0*x**3 - 5/84*x**4. Factor i(q).
2*q*(q - 5)/7
Let w(m) = 5*m**3 + 5*m**2 + 5*m + 5. Let d be (-128)/(-24) + (-1)/3. Let g(a) = -5*a**3 - 5*a**2 - 4*a - 4. Let z(h) = d*g(h) + 4*w(h). What is k in z(k) = 0?
-1, 0
Let p = -33354 + 366908/11. Find x such that p*x + 2/11*x**2 + 20/11 = 0.
-5, -2
Let c(g) = 3*g**2 - 32*g + 24. Let b be ((-12)/(-30))/(2/25). Let r(t) = 2*t**2 - 16*t + 12. Let d(j) = b*r(j) - 2*c(j). Find y such that d(y) = 0.
1, 3
Let l(c) = -c + 1. Let y(g) = -g + 1. Let o(t) = -4*l(t) + 3*y(t). Let d(k) = k**5 + 3*k**4 + 2*k**3 - 2*k + 2. Let q(f) = -d(f) - 2*o(f). Factor q(n).
-n**3*(n + 1)*(n + 2)
Let m(v) = -v**2 + 7 - 6*v + 3 + 6 - 5. Let p be m(-7). Factor -5*n**2 + p*n + 2*n**2 + 2*n.
-3*n*(n - 2)
Let 28/3*g - 9 - 1/3*g**2 = 0. What is g?
1, 27
Suppose -z = -0*z - 30. Let b(n) = 25*n**5 + 20*n**4 + 5*n**3 + 40*n**2 + 30. Let r(l) = l**5 + l**3 + l**2 + 1. Let d(t) = z*r(t) - b(t). Factor d(y).
5*y**2*(y - 2)*(y - 1)**2
Let s(j) be the first derivative of j**3 - 6*j**2 + 12*j - 52. Factor s(g).
3*(g - 2)**2
Suppose 0 = 4*c - 14 + 14. Let s(z) be the third derivative of -1/420*z**7 + 1/120*z**5 + c*z + 0 - 3*z**2 + 0*z**4 + 0*z**3 + 0*z**6. Factor s(h).
-h**2*(h - 1)*(h + 1)/2
Let s(y) be the first derivative of 2*y**3/3 + 150*y**2 + 11250*y + 183. Factor s(f).
2*(f + 75)**2
Let z(c) be the third derivative of 0*c + 0 - 5/66*c**5 + 19*c**2 - 5/66*c**4 - 1/33*c**3. Factor z(w).
-2*(5*w + 1)**2/11
Let y(q) be the third derivative of q**8/16 - 19*q**7/70 - 6*q**6/5 + 11*q**5/5 + 2*q**4 - 50*q**2. Solve y(w) = 0 for w.
-2, -2/7, 0, 1, 4
Let g be (-56)/6 - (-60 - -50). Solve -1/3*q**5 + q**2 - 1/3*q**3 + 0 - q**4 + g*q = 0 for q.
-2, -1, 0, 1
Let v(s) be the second derivative of 3*s**5/20 - s**4/4 - s**3/2 + 3*s**2/2 - 98*s. Factor v(f).
3*(f - 1)**2*(f + 1)
Let b be ((-842)/10525)/(6/(-25)). Find o such that 0 + 0*o - b*o**3 + 0*o**2 + 1/2*o**4 - 1/6*o**5 = 0.
0, 1, 2
Let n(f) be the third derivative of -f**7/420 - f**6/20 + 8*f**2 - 4*f. Factor n(a).
-a**3*(a + 12)/2
Let z(w) be the first derivative of w**5/25 + 9*w**4/20 + w**3 + 7*w**2/10 - 123. Let z(p) = 0. Calculate p.
-7, -1, 0
Let a(d) be the first derivative of 14 + 0*d**2 - 1/20*d**5 + 0*d + 1/32*d**4 + 1/12*d**3 - 1/48*d**6. Determine l so that a(l) = 0.
-2, -1, 0, 1
Let v(z) be the third derivative of -4*z**2 + 7/40*z**8 + 0 - 8/15*z**7 + 0*z - 4/15*z**4 + 0*z**3 + 16/25*z**5 - 6/25*z**6. Find t such that v(t) = 0.
-2/3, 0, 2/7, 2
Let 30 - 30*f**2 - 6*f**2 - 16*f - 41*f - 12*f + 12*f = 0. Calculate f.
-2, 5/12
Let o(f) be the third derivative of 0 - 1/3192*f**8 - 2/285*f**6 + 0*f - 1/399*f**7 + 0*f**3 - 22*f**2 - 2/285*f**5 + 0*f**4. What is y in o(y) = 0?
-2, -1, 0
Factor -45/4 + 6*b - 3/4*b**2.
-3*(b - 5)*(b - 3)/4
Factor 1045*y**2 - 565*y**2 + 191*y**3 + 33*y**4 + 67*y**3 - 96*y.
3*y*(y + 4)**2*(11*y - 2)
Let i(c) be the second derivative of -c**4/18 + 7*c**3/9 - 705*c. Factor i(h).
-2*h*(h - 7)/3
Let f = 13 + -12. Let a be -6*5/75*(f - 2). Determine i, given that 0 - 1/5*i**5 - 3/5*i**2 - 1/5*i**3 + a*i + 3/5*i**4 = 0.
-1, 0, 1, 2
Find y, given that -3*y**4 + 9*y**2 - 6/5 - 21/5*y - 3/5*y**3 = 0.
-2, -1/5, 1
Let m = -37 - -42. Suppose -9*o**4 + 4*o**3 + 8*o**m - 4*o**5 + o**4 = 0. Calculate o.
0, 1
Let z = -2338 + 2340. Factor 0 - 6/7*w - 2/7*w**z.
-2*w*(w + 3)/7
Let n(m) be the third derivative of 0 - 1/16*m**4 + 10*m**2 + 0*m + 1/40*m**5 + 1/12*m**3 - 1/240*m**6. What is g in n(g) = 0?
1
Let f(i) = i**2 - 2*i - 10. Let u be f(-3). Suppose k = -w - 3*w + 6, 0 = u*k - 2*w - 8. Factor -8*r**k + 6*r**2 + 5*r**2 + 15*r + 9*r + 48.
3*(r + 4)**2
Factor -15*x**2 - 8*x**2 + 70*x + 5*x**2 - 67*x.
-3*x*(6*x - 1)
Let b(y) = -y**2 - 18*y + 22. Let t be b(-19). What is l in -3*l**3 + 0*l**3 + 2*l**3 - 3*l**2 - 2*l**t = 0?
-1, 0
Let r(q) be the first derivative of 2/15*q**3 - 2/5*q**2 - 26 + 0*q. Suppose r(x) = 0. Calculate x.
0, 2
Let b(t) be the first derivative of -7*t**4/2 + 46*t**3/3 + 22*t**2 - 16*t - 29. Solve b(f) = 0.
-1, 2/7, 4
Let d(w) be the first derivative of -w**7/30 + 13*w**6/60 - w**5/3 - w**4/3 + 6*w**2 + 19. Let p(b) be the second derivative of d(b). Factor p(v).
-v*(v - 2)**2*(7*v + 2)
Suppose -2*a = g - 3, -4*g - 4*a + 14 + 2 = 0. Suppose -5*v = 5*b - 30, g*v = -3*b - 12 + 38. Factor 4/9*y - 2/3 + 2/9*y**b.
2*(y - 1)*(y + 3)/9
Let a(z) be the third derivative of z**7/168 - z**3/3 - 15*z**2. Let k(u) be the first derivative of a(u). Find x such that k(x) = 0.
0
Let x be 26 - 1 - (-1 + 2). Suppose -3*m - 8 + 17 = 0. Factor -4 - 8*a + 10*a**2 + x*a + 9 + 2*a**m + 3.
2*(a + 1)*(a + 2)**2
Let j(r) = -19*r**2 + 46*r + 47. Let k(n) = -2*n**2 + n + 1. Let d(u) = -4*j(u) + 36*k(u). Find x such that d(x) = 0.
-1, 38
Let h(b) be the first derivative of -b**6/24 - b**5/12 + 5*b**4/12 - 27*b**2/2 - 26. Let q(n) be the second derivative of h(n). Find c, given that q(c) = 0.
-2, 0, 1
Let a(z) be the first derivative of z**3/6 + 7*z**2/2 + 48. Factor a(l).
l*(l + 14)/2
Suppose 0 = -4*s - 3*c - 31, 3*c - 4*c - 21 = 4*s. Let d be 16/((-2)/s*4). Factor d*b**3 - 3*b - 2*b**3 - 3*b**5 + 0*b**3.
-3*b*(b - 1)**2*(b + 1)**2
Factor -61*w - w**2 + 5*w**2 + 225*w.
4*w*(w + 41)
Let g = 51563/9 + -5729. Factor 20/9*o - 50/9 - g*o**2.
-2*(o - 5)**2/9
Let r(t) be the third derivative of t**8/192 - 11*t**7/280 + 13*t**6/160 - 7*t**5/240 - t**4/16 + 822*t**2. Find y, given that r(y) = 0.
-2/7, 0, 1, 3
Find q such that 4*q**4 + 10*q**3 - 2*q**4 - 2*q**5 - 8*q - 3 + 12*q**2 - 4*q**4 - 5 - 2*q**2 = 0.
-2, -1, 1, 2
Find c, given that 6*c + 10*c**2 + 12 - 33*c**2 + 5*c - 9*c**2 + 9*c**3 = 0.
-4/9, 1, 3
Let l(o) = -2*o**3 - 5 + 20*o - 7*o + 11*o**2 - 8*o - 6. Let p(a) = -12*a**3 + 65*a**2 + 29*a - 65. Let r(h) = -34*l(h) + 6*p(h). Factor r(v).
-4*(v - 4)*(v - 1)*(v + 1)
Let w(y) be the third derivative of -y**6/20 + 2*y**5/15 + 5*y**4/12 - 2*y**3/3 + 77*y**2. Factor w(t).
-2*(t - 2)*(t + 1)*(3*t - 1)
Let q(r) be the second derivative of -r**7/15120 + r**6/4320 + r**5/360 - 5*r**4/12 + 7*r. Let s(c) be the third derivative of q(c). Factor s(l).
-(l - 2)*(l + 1)/6
Suppose 4/3*q**5 + 61/3*q**2 + 28/3*q - 20 - 5/3*q**4 - 12*q**3 = 0. What is q?
-3, -1, 5/4, 2
Factor -3/5*l**3 - 48/5 + 21/5*l**2 + 6*l.
-3*(l - 8)*(l - 1)*(l + 2)/5
Let n(g) be the third derivative of -25/2*g**3 + 0 - 9*g**2 + 0*g - 1/20*g**5 + 5/4*g**4. Factor n(a).
-3*(a - 5)**2
Let s = -21784 + 21786. Suppose -g**s - 6/5*g + 1/5*g**3 + 0 = 0. Calculate g.
-1, 0, 6
Let f be 1/(2/4)*-8. Let g = 25 + f. Factor -g*a + 46*a + 15*a + 2 - 44*a**2 - 10.
-4*(a - 1)*(11*a - 2)
Let o(n) be the first derivative of n**6/2 + 3*n**5 + 6*n**4 + 4*n**3 + 60. Factor o(v).
3*v**2*(v + 1)*(v + 2)**2
Let b = -1419 + 1422. Let i(u) be the third derivative of 0 - 1/66*u**4 - 1/11*u**b + 2*u**2 + 1/330*u**5 + 0*u. Factor i(d).
2*(d - 3)*(d + 1)/11
Let c be ((-3)/132)/((-65)/8320). Find j, given that -c - 16/11*j - 2/11*j**2 = 0.
-4
Let k(h) be the first derivative of -3/2*h + 1/4*h**6 + 3/4*h**4 - 10 - h**3 - 9/4*h**2 + 9/10*h**5. Suppose k(g) = 0. Calculate g.
-1, 1
Let w be 6/(-10) + -8*9/(-120). Let a(d) be the second derivative of w - 1/12*d**3 - 9*d - 1/18*d**4 + 1/12*d**2. Factor a(c).
-(c + 1)*(4*c - 1)/6
Suppose 2/3*f + 0 + 1/3*f**2 = 0. Calculate f.
-2, 0
Let n(r) = -r**3 - 22*r**2 + 4*r + 90. Let m be n(-22). Find w, given that 4/5*w + 14/5*w**3 + 0 + 18/5*w**m = 0.
-1, -2/7, 0
Let x(f) be the third derivative of -30*f**2 + 0*f + 0 - 841/15*f**5 - 8/3*f**3 + 58/3*f**4. Suppose x(i) = 0. What is i?
2/29
Let d = 93 + -90. Suppose -3*n + n = -d*r + 2, n - r = 1. Factor 3/2*p**n - 3*p**4 + 0 + 6*p - 9/2*p**3 + 6*p**2.
3*p*(p - 2)**2*(p + 1)**2/2
Let c(y) be