or x(c).
2*c**2*(c - 1)*(c + 1)
Let x(w) be the second derivative of -3*w**5/20 + 7*w**3/2 + 9*w**2 + 30*w. Solve x(q) = 0 for q.
-2, -1, 3
Let g(m) be the second derivative of -m**7/98 - m**6/14 - 27*m**5/140 - m**4/4 - m**3/7 - 2*m + 3. Suppose g(c) = 0. What is c?
-2, -1, 0
Let a(f) be the third derivative of -2*f**8/105 - 24*f**7/175 - 113*f**6/300 - 38*f**5/75 - 7*f**4/20 - 2*f**3/15 - 4*f**2. Determine o, given that a(o) = 0.
-2, -1, -1/4
Let m be (-4*2/(-40))/((-18)/(-45)). Factor m + 0*r - 1/2*r**2.
-(r - 1)*(r + 1)/2
Let t(z) be the third derivative of z**2 - 1/3*z**3 + 1/7*z**7 - 3/56*z**8 + 7/12*z**4 + 0 + 1/30*z**6 - 7/15*z**5 + 0*z. What is d in t(d) = 0?
-1, 1/3, 1
Let i = -22 + -21. Let j = i - -303/7. Factor -2/7*y**2 + 2/7*y + 2/7 - j*y**3.
-2*(y - 1)*(y + 1)**2/7
Let d = 16 - 14. Factor y + 2*y - 2*y + y**d.
y*(y + 1)
Let t(q) = -q**2. Let m(a) = -a**2 - 36*a - 108. Let d(w) = -m(w) - 2*t(w). Solve d(j) = 0 for j.
-6
Let g = -7 - -10. Let h be g*(0 - (-6)/9). Factor 0 + 0*y - 1/4*y**4 + y**3 - y**h.
-y**2*(y - 2)**2/4
Let m be ((-13)/52)/((-2)/16). Let i be (-27)/18*2/(-6). Determine n so that -1/2*n - 1 + i*n**m = 0.
-1, 2
Factor 1/4*t**4 + 1/8*t + 0*t**3 - 1/4*t**2 - 1/8*t**5 + 0.
-t*(t - 1)**3*(t + 1)/8
Let f = 2513/11832 - 2/493. Let s(d) be the third derivative of 1/80*d**5 - 1/6*d**3 + 0 + f*d**4 - 7/48*d**6 - 7/120*d**7 - d**2 + 0*d. Factor s(k).
-(k + 1)**2*(7*k - 2)**2/4
Let m(p) = p**2 + p - 1. Let o(w) = -4*w**2 + 5*w - 7. Let u(c) = -28*m(c) + 4*o(c). Factor u(a).
-4*a*(11*a + 2)
Let d(z) = -z**3 - 7*z**2 - 10*z - 6. Let o(b) = -b**2 - b - 1. Suppose 10 = 5*j - 0*j. Let w(x) = j*o(x) - d(x). Factor w(s).
(s + 1)*(s + 2)**2
Let a = 97/132 + -3/44. Factor 4/9*t**2 + 2/9 + a*t.
2*(t + 1)*(2*t + 1)/9
Factor 6*w - 2*w**2 + 5*w**2 - w**2 + w**2.
3*w*(w + 2)
Suppose 0 = 5*z - 9 - 1. Factor 5*g**z - 16*g**2 - 10*g**2 + 24*g + 3*g - 6.
-3*(g - 1)*(7*g - 2)
Let l(a) = a**3 - 6*a**2 - 7*a + 2. Let d be l(7). Suppose -i = d*i - 144. Factor -2 + 26*u**3 - 6 - u**2 + 24*u**3 - 89*u**2 + i*u.
2*(u - 1)*(5*u - 2)**2
Let t(k) = k**2 + 5*k - 4. Let p be t(-6). Suppose -5 = -5*y - p*u + 5, -y + 3*u = -2. Let -3/4*i**y + 1/4*i**3 + 1/2*i + 0 = 0. What is i?
0, 1, 2
Let y(m) be the first derivative of 1/2*m**2 - 1/4*m**4 + 5 + 0*m + 0*m**3. Factor y(v).
-v*(v - 1)*(v + 1)
Let a(t) be the first derivative of t**4/24 + 2*t**3/9 + 9. Factor a(g).
g**2*(g + 4)/6
Let g be -4*(-1)/(-6)*-3. Factor -4 + 3*z**2 - g*z - 4*z**2 - 3*z + z.
-(z + 2)**2
Let a(v) be the third derivative of v**8/56 + v**7/10 + 9*v**6/40 + v**5/4 + v**4/8 + 8*v**2. Factor a(y).
3*y*(y + 1)**3*(2*y + 1)
Suppose 0 = 6*w - 11*w. Let c(b) be the second derivative of w*b**4 - b + 0 - 1/30*b**6 + 1/20*b**5 + 0*b**2 + 0*b**3. Factor c(u).
-u**3*(u - 1)
Factor -6*g + 1 + 49/4*g**3 + 21/4*g**2.
(g + 1)*(7*g - 2)**2/4
Let l be 4/(-3) + 20/15. Let b(c) be the third derivative of -1/72*c**4 + l + 1/18*c**3 + 2*c**2 + 0*c - 1/120*c**6 - 1/36*c**5. Let b(u) = 0. What is u?
-1, 1/3
Factor 1/2*s**2 + 0 + s.
s*(s + 2)/2
Let f be ((-156)/(-9))/(-4)*-2. Solve 13/3*s + 2/3 + 7/3*s**3 + f*s**2 - 20/3*s**5 - 28/3*s**4 = 0.
-1, -1/2, -2/5, 1
Let v = 79/255 + 2/85. Determine q, given that -4/3*q**2 - v*q + 0 = 0.
-1/4, 0
Let o(a) be the second derivative of a**5/240 + a**4/48 + a**3/24 - a**2/2 + 4*a. Let n(r) be the first derivative of o(r). Factor n(s).
(s + 1)**2/4
Let d(j) = 25*j**3 - 26 + 2*j**3 - 51*j**2 - 1 + 36*j. Let v(w) = -7*w**3 + 13*w**2 - 9*w + 7. Let s(n) = -4*d(n) - 15*v(n). Factor s(y).
-3*(y - 1)**3
Suppose s**2 - 12 - 8*s + 7 + 5 + 4 + s**5 + 7*s**3 - 5*s**4 = 0. Calculate s.
-1, 1, 2
Let u(c) = c + 12. Let w be u(-10). Let l be (-34)/(-10) - w/5. Factor -3*h**3 + 3*h - h + h**l.
-2*h*(h - 1)*(h + 1)
Let k(o) be the second derivative of -o**6/90 - o**5/12 - o**4/4 - 7*o**3/18 - o**2/3 + 7*o. Factor k(h).
-(h + 1)**3*(h + 2)/3
Let r(g) be the first derivative of -g**2 + 0*g + 2 + 1/2*g**4 + 0*g**3. Factor r(c).
2*c*(c - 1)*(c + 1)
Let a be (27/90)/(6/10). Factor -u**2 + 1 - 1/2*u**3 + a*u.
-(u - 1)*(u + 1)*(u + 2)/2
Let j = -423/95 + 96/19. Factor -j*i**2 + 0*i + 3/5.
-3*(i - 1)*(i + 1)/5
Determine z so that -31*z**3 + 3*z**2 - z - 2 + 32*z**3 + z**4 - 2*z**4 = 0.
-1, 1, 2
Let m = 15 - 21. Let v(z) = -7*z**4 + 6*z**3 + 8*z**2 - 1. Let w(t) = -t**4 + t**3 + t**2. Let h(g) = m*w(g) + v(g). Suppose h(s) = 0. What is s?
-1, 1
Let j = -31 - -47. Suppose 0*g**2 + 0*g**2 + g**3 - 17*g**4 + j*g**4 = 0. What is g?
0, 1
Let l(q) be the first derivative of -q**2 - 4 + 0*q - 1/4*q**4 + q**3. Solve l(n) = 0.
0, 1, 2
Let o(p) be the first derivative of p**6/1980 - p**5/220 + p**3 - 1. Let g(c) be the third derivative of o(c). Factor g(r).
2*r*(r - 3)/11
Let x(p) be the third derivative of p**5/30 + p**4/6 - 46*p**2. Factor x(c).
2*c*(c + 2)
Suppose -2*c = -w + 5*w - 6, -5*w + 4*c = -27. Factor 0*b**3 - 3*b**3 + b**2 - 3*b**3 + 7*b**w.
b**2*(b + 1)
Let k be -101 - -98 - (-2)/((-2)/(-5)). Find w, given that 0 + 4/17*w - 26/17*w**k + 8/17*w**5 + 48/17*w**3 - 2*w**4 = 0.
0, 1/4, 1, 2
Let m = 760/3 + -253. Suppose 1/6*g**4 + 5/6*g**2 + 0 - m*g - 2/3*g**3 = 0. What is g?
0, 1, 2
Suppose 0*s = -6*s. Let z(v) be the second derivative of 0 - 1/15*v**6 - 2/3*v**3 + 0*v**2 + s*v**5 + 1/2*v**4 + 4*v. Solve z(x) = 0 for x.
-2, 0, 1
Let l(p) be the first derivative of 8*p - 2 - 4*p**2 + 2/3*p**3. Suppose l(g) = 0. What is g?
2
Let w(g) be the third derivative of -g**9/3024 + g**8/1680 + g**7/840 - g**6/360 + g**3/6 + 3*g**2. Let d(q) be the first derivative of w(q). Factor d(a).
-a**2*(a - 1)**2*(a + 1)
Let o(b) be the first derivative of 63*b**5 + 235*b**4/2 + 5*b**3 - 60*b**2 + 20*b - 11. Let o(j) = 0. What is j?
-1, 2/9, 2/7
Let l(q) be the first derivative of 2*q**5/55 - 2*q**4/11 - 2*q**3/33 + 4*q**2/11 + 55. Factor l(a).
2*a*(a - 4)*(a - 1)*(a + 1)/11
Let a(g) = -g**3 - g**2 + 1. Let u(m) = m**4 + 13*m**2 - 4*m - 5. Let n(y) = -20*a(y) - 4*u(y). Find d such that n(d) = 0.
0, 1, 2
Let x = 21/10 - 8/5. Suppose 0*i + 4 = -4*f + 4*i, 0 = -4*i + 12. Factor x - u + 1/2*u**f.
(u - 1)**2/2
Let s(v) = -4*v**2 + 13 - 2*v - 2 + 0*v. Let r be (-9)/(2/(-4)*-2). Let l(u) = 2*u**2 + u - 5. Let o(t) = r*l(t) - 4*s(t). Factor o(m).
-(m + 1)*(2*m - 1)
Let g(z) = -z - 5. Let w be g(-5). Let v be (68/5)/2 - w. Suppose 8/5 + 24/5*a + 42/5*a**5 - 66/5*a**3 + 26/5*a**4 - v*a**2 = 0. What is a?
-1, -2/7, 2/3, 1
Let b(x) = 2*x - 8. Suppose 3*a = -a + 24. Let t be b(a). Determine g, given that 3 - 2*g**2 + g - t + 3 - g**2 = 0.
-2/3, 1
Let z(a) be the second derivative of a**6/75 - 3*a**5/50 + a**4/10 - a**3/15 + 4*a. Suppose z(w) = 0. What is w?
0, 1
Let x(y) = -y + 3*y + y. Let a be x(1). Factor -3 - 6*w**2 + w**3 + 1 + 3*w + a*w + w**3.
2*(w - 1)**3
Suppose -22 = -4*n - 6*w + 3*w, n - 10 = -3*w. Suppose 15*b**4 + 2*b**2 - 9*b**4 - n*b**4 - 2*b**3 + 2*b**5 - 4*b**4 = 0. What is b?
-1, 0, 1
Let h(x) be the first derivative of x**5/360 + x**4/72 + 2*x**2 - 8. Let a(g) be the second derivative of h(g). Factor a(r).
r*(r + 2)/6
Let 27*k - 2*k + 7*k**2 - 2*k**2 = 0. What is k?
-5, 0
Factor 2*t + 2/3*t**2 + 4/3.
2*(t + 1)*(t + 2)/3
Let w be (-58)/4 - (0 + 1). Let s = w - -16. Factor 1/2*p + s*p**2 + 0.
p*(p + 1)/2
Let i = -168 + 1345/8. Let j(o) be the first derivative of 0*o**3 + 0*o**2 - 3 + 0*o + i*o**4. Find z such that j(z) = 0.
0
Let r be 360/210 - (2 - (-16)/(-7)). Let y(d) be the first derivative of 6/5*d - 8/15*d**3 - 1 - 11/5*d**r. Factor y(h).
-2*(h + 3)*(4*h - 1)/5
Let 1/2*q + 0 + 1/4*q**2 = 0. Calculate q.
-2, 0
Let o = 107 + -320/3. Factor -1/3*y**2 + 1/3*y**3 + 0 + o*y**4 - 1/3*y.
y*(y - 1)*(y + 1)**2/3
Let r(w) = w**2 - 11*w + 13. Let b be r(10). Suppose -4*u**b - u**5 + 3*u**5 + 4*u**3 + 2*u**4 = 0. What is u?
-1, 0
Let p(t) be the third derivative of t**8/5040 - t**7/630 - t**4/6 - 6*t**2. Let k(x) be the second derivative of p(x). Factor k(b).
4*b**2*(b - 3)/3
Let g = -416 - -10404/25. Let s(o) be the first derivative of 1/15*o**3 - 1 + 0*o + 0*o**2 + 1/5*o**4 + g*o**5. Solve s(f) = 0.
-1/2, 0
Suppose 0*y - 39 = -3*y. Suppose y = -5*v - 12, 4*b + 5*v = -45. Let h(x) = 4*x**2 - 13*x. Let a(n) = 6*n**2 - 20*n. Let r(m) = b*a(m) + 8*h(m). Factor r(g).
2*g*(g - 2)
Let o be 0 + 3 + 90/(-35). Factor 12/7*j 