be the third derivative of a**5/12 + 5*a**4/12 - 20*a**3/3 - 2*a**2 + 9*a. Factor v(t).
5*(t - 2)*(t + 4)
Suppose 2*j**2 - 8/3 + 2/3*j**3 + 0*j = 0. Calculate j.
-2, 1
Let w(t) be the third derivative of t**8/33600 - t**7/4200 + t**6/1200 - t**5/600 - t**4/12 + 3*t**2. Let f(o) be the second derivative of w(o). Factor f(k).
(k - 1)**3/5
Let m(w) be the first derivative of -3*w**6/4 - 3*w**5/10 + 5*w**4/8 - w**3/6 + 1. Factor m(c).
-c**2*(c + 1)*(3*c - 1)**2/2
Factor -2/13 + 8/13*t**2 - 6/13*t.
2*(t - 1)*(4*t + 1)/13
Suppose 13 + 10 = 5*v - 4*s, -4*v + 4*s = -20. Let d(c) = 3*c - 9. Let n be d(v). Factor n + 3/4*j**2 + 0*j.
3*j**2/4
Let v(q) be the third derivative of -q**6/840 + q**5/140 - q**4/84 - 7*q**2. Factor v(y).
-y*(y - 2)*(y - 1)/7
Let s(z) be the second derivative of -2*z**6/45 + 3*z**5/20 + 5*z**4/18 - z**3/6 - 5*z. Suppose s(t) = 0. Calculate t.
-1, 0, 1/4, 3
Let b = -7/4 + 9/4. Let p = 331 + -328. Factor 1/2*i - 1/2 - b*i**p + 1/2*i**2.
-(i - 1)**2*(i + 1)/2
Let a = -2/19 - -86/95. Let 1/5*g**2 + 4/5 - a*g = 0. Calculate g.
2
Let o(t) = -t**2 + 15*t + 18. Let g be o(16). Let w = -4 + 6. Solve -w*h + 2*h**4 + 0*h**3 - 2*h**3 - g*h - 2*h**2 + 6*h = 0 for h.
-1, 0, 1
Solve -l + 0*l - 3*l + 3*l**3 - 12 + 12*l**2 + l**3 = 0.
-3, -1, 1
Let f(g) be the second derivative of g**4/12 - g**2/2 - 12*g. Suppose f(y) = 0. What is y?
-1, 1
Let j = 1 + 2. Let p be j/2 + 9/18. Find q such that 128/9*q**p + 32/9*q + 0 - 6*q**5 + 0*q**4 + 16*q**3 = 0.
-2/3, 0, 2
Let o(g) = g**3 - 2*g**2 - 11*g + 9. Let z be o(-9). Let s be 33/(-44) + z/(-20). Determine i so that -512/5*i**3 - s*i**2 - 512/5*i**4 - 32/5*i - 2/5 = 0.
-1/4
Let a be (-3)/(-30) + 16/5 + -3. Let l(g) be the second derivative of -3/5*g**2 + 2*g + a*g**3 + 0 - 1/20*g**4. Factor l(m).
-3*(m - 2)*(m - 1)/5
Let l be (-5)/(3 - (4 + 0)). Let y(s) be the third derivative of s**5/30 + s**4/12 + s**2. Let r(i) = -3*i**2 - 2*i. Let w(g) = l*y(g) + 4*r(g). Factor w(f).
-2*f*(f - 1)
Solve -37*o**4 - 6*o**2 + 19*o**4 + 38*o**3 + 24 - 5*o**3 + 3*o**5 - 36*o = 0 for o.
-1, 1, 2
Find y such that 3/4*y + 3/8*y**3 - 9/8*y**2 + 0 = 0.
0, 1, 2
Let v be (-5)/(30/(-9))*8/6. Let u(m) be the second derivative of 0*m**6 - 2*m - 1/147*m**7 + 0*m**3 + 0*m**v + 0*m**4 + 0 + 1/70*m**5. Factor u(n).
-2*n**3*(n - 1)*(n + 1)/7
Let l(m) = 8*m**2 + 5*m. Let n(p) = -15*p**2 - 10*p. Let c(i) = 5*l(i) + 3*n(i). Suppose c(g) = 0. Calculate g.
-1, 0
Suppose 4/5*v**3 - 8/5 - 12/5*v + 0*v**2 = 0. What is v?
-1, 2
Let f(d) be the third derivative of -d**6/90 + 7*d**5/90 - 7*d**4/36 + 2*d**3/9 - 3*d**2. Solve f(x) = 0 for x.
1/2, 1, 2
Let m(h) be the third derivative of -3*h**2 - 1/350*h**7 - 1/40*h**4 + 1/200*h**6 + 0*h + 1/100*h**5 + 0*h**3 + 0. Let m(i) = 0. Calculate i.
-1, 0, 1
Let y be (28/(-8))/((-3)/24). Suppose 5*a - 37 - y = 0. Factor 12*l**2 + 2 - a*l**2 + 5*l - 6*l.
-(l - 1)*(l + 2)
Factor 0*s + 1/4*s**4 + 0 + 1/2*s**2 + 3/4*s**3.
s**2*(s + 1)*(s + 2)/4
Let d = 9 - 6. Suppose p - 2 = 5*c - d*p, c - 3*p = -7. Find s such that -1 - s**4 + 4*s**2 + 0 - 2*s**c = 0.
-1, 1
Let d = -40 + 43. Let o(z) be the first derivative of d - z + 0*z**2 + 1/3*z**3. Factor o(q).
(q - 1)*(q + 1)
Let m(n) = -n**2 + 9*n - 6. Let b be m(8). Let h be b/5 + (-56)/315. What is u in 0 + 0*u + 2/9*u**3 - h*u**5 - 2/9*u**2 + 2/9*u**4 = 0?
-1, 0, 1
Let s = 475 + -39899/84. Let v(k) be the second derivative of 1/12*k**4 - 1/4*k**2 - 1/20*k**5 - 2*k + 1/12*k**3 - 1/60*k**6 + s*k**7 + 0. Factor v(b).
(b - 1)**3*(b + 1)**2/2
Let w(y) be the first derivative of -4*y**5/35 - 4*y**4/7 - 8*y**3/7 - 8*y**2/7 - 4*y/7 - 3. Factor w(d).
-4*(d + 1)**4/7
Solve -96/11*y**3 + 144/11*y**2 + 12/11 + 90/11*y = 0 for y.
-1/4, 2
Let j = -16 + 24. Suppose -n = t - 2*t - 6, 4*n - j = -4*t. Factor -1/2*c**2 + 1/2*c**n + 1/2*c**3 - 1/2*c + 0.
c*(c - 1)*(c + 1)**2/2
Let w = 75 + -117. Let n be (w/(-49))/(8/7). Factor -1/4*z**3 - 1/4 - n*z**2 - 3/4*z.
-(z + 1)**3/4
Find t, given that -2/9*t**2 - 8/9*t - 8/9 = 0.
-2
Let r = -20 - -22. Let q(k) be the first derivative of 0*k - 1/5*k**5 + 1/3*k**3 + r + 0*k**4 + 1/12*k**6 - 1/4*k**2. Factor q(i).
i*(i - 1)**3*(i + 1)/2
Suppose -2*t + 5 - 3 = 0. Let m(q) = q + 1. Let v be m(t). Find w, given that -w**3 + w**3 - 6*w**3 - 2*w - 8*w**v = 0.
-1, -1/3, 0
Suppose -3/5*q + 0 - 3/5*q**2 = 0. What is q?
-1, 0
Let b be 2 - 5/((-15)/(-6)). Let v(k) be the second derivative of 0 + b*k**2 - 2*k + 1/20*k**5 + 1/6*k**4 + 1/6*k**3. Factor v(z).
z*(z + 1)**2
Let b(m) be the third derivative of 1/945*m**7 + 0*m - 1/270*m**5 + 3*m**2 + 0*m**3 + 1/270*m**6 - 1/54*m**4 + 0. Let b(q) = 0. Calculate q.
-2, -1, 0, 1
Let u(v) be the second derivative of v**7/3360 - v**5/160 - 7*v**4/12 - 8*v. Let d(x) be the third derivative of u(x). Find n such that d(n) = 0.
-1, 1
Let k = 364 - 2547/7. Factor 0*i - 1/7*i**3 - k*i**2 + 0.
-i**2*(i + 1)/7
Let 8/9 + 16/9*l - 14/3*l**2 = 0. Calculate l.
-2/7, 2/3
Let b(p) = -p**4 - 2*p**3 - p**2. Let v(c) = 2*c**4 + 4*c**3 + 2*c**2. Suppose 4 = -4*g - 8. Let y(w) = g*v(w) - 5*b(w). Factor y(q).
-q**2*(q + 1)**2
Determine g so that g**4 - 1/3 - 2/3*g**2 + 1/3*g**5 - g + 2/3*g**3 = 0.
-1, 1
Let g(m) = m + 1. Let v be g(3). Let o(d) be the third derivative of -5/72*d**v + 2*d**2 - 1/18*d**3 + 0*d + 0 - 1/45*d**5. Solve o(f) = 0.
-1, -1/4
What is y in 0 + 0*y**2 + 0*y - 2/13*y**4 + 4/13*y**3 = 0?
0, 2
Suppose 2*k = 5*h + 1 + 9, -5*h = 2*k - 10. Find r, given that 0*r + 0*r**2 + 0 + h*r**3 + 2/7*r**4 = 0.
0
Let n(d) be the second derivative of -d**4/8 - 5*d**3/4 + d. Suppose n(t) = 0. What is t?
-5, 0
Let 2/5*i + 0*i**2 - 2/5*i**3 + 0 = 0. Calculate i.
-1, 0, 1
Let k(f) be the third derivative of -f**8/112 + f**7/70 + 3*f**6/40 - f**5/4 + f**4/4 + 7*f**2. Let k(p) = 0. Calculate p.
-2, 0, 1
Let k(z) be the second derivative of z**4/42 - 16*z**3/21 + 64*z**2/7 - 22*z. Factor k(i).
2*(i - 8)**2/7
Suppose 11 + 4 = 3*b. Let g(i) be the second derivative of i + 0*i**2 + 0 - 1/75*i**6 + 1/105*i**7 + 1/30*i**4 + 0*i**3 - 1/50*i**b. Find m such that g(m) = 0.
-1, 0, 1
Let n(f) be the third derivative of -f**6/30 - 28*f**5/75 - 11*f**4/10 + 12*f**3/5 + 25*f**2. Find d, given that n(d) = 0.
-3, 2/5
Let x(u) be the first derivative of u**6/42 - 3*u**5/35 - u**4/7 + 27. Solve x(v) = 0.
-1, 0, 4
Let c(s) be the second derivative of s**6/420 + s**5/210 - 3*s**2/2 + 3*s. Let v(f) be the first derivative of c(f). Determine q, given that v(q) = 0.
-1, 0
Let o(m) be the third derivative of m**7/630 - m**6/45 + 2*m**5/15 - 4*m**4/9 + 8*m**3/9 + 14*m**2. Factor o(h).
(h - 2)**4/3
Suppose s - 2 + 0 = 0. Find j, given that -3*j**s - 3*j**3 + 2*j**5 + j**5 - 7*j**4 + 10*j**4 = 0.
-1, 0, 1
Let v(u) = u + 6. Let n be v(0). Let g = 8 - n. Find d such that -2*d**3 + d - 2*d - 2 + g*d**2 + 3*d = 0.
-1, 1
Suppose -4*l + 5*h = l + 10, -4*h + 6 = -5*l. Let r(q) be the first derivative of -1/4*q**4 + 3/2*q**2 + 0*q**3 - l*q - 4. Factor r(b).
-(b - 1)**2*(b + 2)
Let k(x) be the second derivative of x**6/70 + 9*x**5/140 + x**4/28 - 3*x**3/14 - 3*x**2/7 - 3*x. Factor k(j).
3*(j - 1)*(j + 1)**2*(j + 2)/7
Let g(y) = y**4 + y**3 + y**2 + y + 1. Let c(j) = -11*j**2 + j**2 + j - 5 - 2*j**4 - 5*j**3 - 4*j**2. Let u(p) = -c(p) - 5*g(p). Determine r so that u(r) = 0.
-2, 0, 1
Let g(n) be the third derivative of -n**2 + 0*n**5 + 0*n**3 + 2/1155*n**7 + 0*n + 0*n**4 + 0 - 1/1848*n**8 - 1/660*n**6. Let g(m) = 0. What is m?
0, 1
Let h(j) be the second derivative of 9*j**5/10 + 5*j**4 + 28*j**3/3 + 8*j**2 - 12*j. Factor h(b).
2*(b + 2)*(3*b + 2)**2
Let p(x) be the third derivative of -x**6/96 - x**5/16 - 5*x**4/48 - 11*x**2. Factor p(d).
-5*d*(d + 1)*(d + 2)/4
Let j(w) be the second derivative of w**7/21 - w**6/15 - 3*w**5/10 + 5*w**4/6 - 2*w**3/3 + 39*w. Factor j(l).
2*l*(l - 1)**3*(l + 2)
Let q = -13049/30 - -435. Let k(f) be the second derivative of -1/12*f**4 + 0 + 0*f**2 + 1/20*f**5 - 1/42*f**7 + 0*f**3 + 3*f + q*f**6. Solve k(a) = 0 for a.
-1, 0, 1
Let b(k) be the second derivative of 2*k + 2/189*k**7 - 1/45*k**6 + 0*k**2 - 1/27*k**3 + 1/18*k**4 - 1/90*k**5 + 0. Let b(a) = 0. Calculate a.
-1, 0, 1/2, 1
Factor -1/2*c**2 + 15*c - 225/2.
-(c - 15)**2/2
Let b(x) = -x - 6. Let a be b(-6). Suppose -4 - 2*n**2 + 4*n**2 + 2*n + a*n**2 + 0*n**2 = 0. Calculate n.
-2, 1
Factor