7*t. Factor x(g).
4*(g - 1)**2*(g + 1)*(g + 2)
Let t(q) be the first derivative of -q**4/12 + 4*q**3/9 - 5*q**2/6 + 2*q/3 + 15. Factor t(x).
-(x - 2)*(x - 1)**2/3
Let b be (-1)/(2/4)*(-18)/12. Factor 1/4*h**b + 0*h + 0 + 1/2*h**2.
h**2*(h + 2)/4
Let p(t) be the first derivative of -2*t**3/3 + 9*t**2/4 - t - 14. Find c such that p(c) = 0.
1/4, 2
Let b(t) be the third derivative of t**9/30240 + t**8/10080 + t**5/30 + 2*t**2. Let a(z) be the third derivative of b(z). Let a(c) = 0. What is c?
-1, 0
Let z(l) be the third derivative of -l**7/840 + l**6/40 - 9*l**5/40 - l**4/12 - 3*l**2. Let o(f) be the second derivative of z(f). Suppose o(y) = 0. What is y?
3
What is z in -z**4 + 4*z**3 + 32*z**2 - 70*z**2 + 34*z**2 = 0?
0, 2
What is o in 0*o + 3/5*o**2 + 0 = 0?
0
Let t(u) be the first derivative of -u**4/4 + 4*u**3/3 - u**2 - u - 1. Let n be t(3). Factor -h**4 - 4*h**3 + n*h**5 + 2*h**4 + h**4 - 4*h**2 + 2 + 2*h.
2*(h - 1)**2*(h + 1)**3
Let h = 33/74 + 2/37. Factor r**2 + h*r**3 - 1 - 1/2*r.
(r - 1)*(r + 1)*(r + 2)/2
Let s be 5 + 1/(20/(-8))*5. Let p(c) be the second derivative of 0*c**2 - 3*c + 0 - 1/5*c**5 - 1/5*c**6 + 2/3*c**s + 1/2*c**4. Suppose p(w) = 0. Calculate w.
-1, -2/3, 0, 1
Suppose 4*i - 6 = 2*i. Suppose -2 = -2*u + 6, 11 = -i*t + 5*u. Factor -c**2 - 3*c**t + 3*c**3 + 2*c**2 + c**3.
c**2*(c + 1)
Let b(t) be the second derivative of -121*t**6/1620 + 11*t**5/135 - t**4/27 - 2*t**3/3 + 8*t. Let p(h) be the second derivative of b(h). What is m in p(m) = 0?
2/11
Factor 0*a + 9/5*a**4 + 0 + 3/5*a**5 + 9/5*a**3 + 3/5*a**2.
3*a**2*(a + 1)**3/5
Let d(n) be the third derivative of -1/96*n**4 + 0*n + 0 + 1/240*n**5 + 5*n**2 - 1/840*n**7 + 0*n**3 + 1/480*n**6. Factor d(z).
-z*(z - 1)**2*(z + 1)/4
Let r(x) be the third derivative of -x**9/7560 - x**8/4200 + x**7/2100 + x**6/900 - x**3/2 - 2*x**2. Let n(l) be the first derivative of r(l). Factor n(b).
-2*b**2*(b - 1)*(b + 1)**2/5
Let o(y) = -15*y**2 + 18*y - 3. Let c(q) = -q**3 + 29*q**2 - 35*q + 7. Suppose 3 = -i + 3*z, 5*i + 2 + 13 = -3*z. Let k(a) = i*c(a) - 5*o(a). Factor k(g).
3*(g - 2)*(g - 1)**2
Suppose 15*n = 13*n + 4. Suppose -37 = -4*r + 5*u, u = -4*r + 5 + n. Let -1/5*d**4 + 1/5*d**2 + 1/5*d**r - 1/5*d + 0 = 0. Calculate d.
-1, 0, 1
Let d(b) be the second derivative of -2*b**7/21 - 2*b**6/5 - 2*b**5/5 + 2*b**4/3 + 2*b**3 + 2*b**2 - 8*b. Factor d(c).
-4*(c - 1)*(c + 1)**4
Determine m so that 1 + m**2 - 6 + 2*m + 2 = 0.
-3, 1
Factor 5/3*p**2 - 5/3 - 5/3*p**3 + 5/3*p.
-5*(p - 1)**2*(p + 1)/3
Let o(n) be the third derivative of -n**8/112 + n**7/35 - n**5/10 + n**4/8 - 3*n**2. Factor o(s).
-3*s*(s - 1)**3*(s + 1)
Let y(d) be the second derivative of 1/2*d**4 + 0 - 1/10*d**6 - 2*d + 3/20*d**5 + 0*d**2 + 0*d**3. Factor y(t).
-3*t**2*(t - 2)*(t + 1)
Let c = 6 - 0. Factor c*j + 2 + 2*j**2 + 2*j**3 + 2*j**2 + 0*j**3 + 2*j**2.
2*(j + 1)**3
Let q(c) = c**5 - c**4 - c**3 + 5*c**2. Let v(x) = 6*x**2. Let h(k) = -3*q(k) + 2*v(k). Factor h(u).
-3*u**2*(u - 1)**2*(u + 1)
Let k(c) be the first derivative of 1/15*c**5 - 9 + 0*c + 0*c**4 + 0*c**2 - 1/9*c**3. Determine u, given that k(u) = 0.
-1, 0, 1
Let r be -5 - 177/(-36) - (-6)/8. What is p in 0 + 2/3*p**5 - 4/3*p**2 - r*p + 0*p**3 + 4/3*p**4 = 0?
-1, 0, 1
Let n(i) be the second derivative of 4*i + 1/4*i**2 + 0 - 1/24*i**4 + 0*i**3. Factor n(x).
-(x - 1)*(x + 1)/2
Let p(s) be the first derivative of -s**5/15 + 5*s**4/12 + 7*s**3/3 + 23*s**2/6 + 8*s/3 + 3. Solve p(d) = 0 for d.
-1, 8
Let c(r) be the first derivative of -r**4/12 + r**3/9 - 3. Suppose c(g) = 0. What is g?
0, 1
Let c(g) be the second derivative of -27*g**6/65 + 54*g**5/65 - 9*g**4/13 + 4*g**3/13 - g**2/13 + 2*g. Suppose c(m) = 0. Calculate m.
1/3
Let d(k) be the second derivative of 5*k**4/36 + 5*k**3/18 + 18*k. Factor d(x).
5*x*(x + 1)/3
Let h be (-5 - 44/(-8))*4. Factor -2/5*j**h + 0*j + 2/5.
-2*(j - 1)*(j + 1)/5
Factor 0*d + 4*d**2 - 5*d**2 - 3*d.
-d*(d + 3)
Let v be (18/(-14) - -1)*-7. Factor -3*y + y - y**v - y**2.
-2*y*(y + 1)
Let i(t) be the third derivative of -t**7/525 - t**6/300 + 4*t**2. Find h such that i(h) = 0.
-1, 0
Let r(j) = j**2 + 10*j + 8. Let v be r(-9). Let b be (2/1)/1 - v. Solve 6*d**3 - 4*d**b - d**3 = 0 for d.
0
Let t be ((-4)/(-8))/(-1)*241. Let m = t - -125. Factor -m*k**2 + 1 - 5/2*k**4 - 13/2*k**3 + 1/2*k.
-(k + 1)**3*(5*k - 2)/2
Let p = 10 - 6. Let c be (p/6)/((-4)/(-12)). Factor -c*h**3 + h**3 + 0*h**3 + h**4.
h**3*(h - 1)
Find n, given that 3/8 + 3/4*n + 0*n**2 - 3/8*n**4 - 3/4*n**3 = 0.
-1, 1
Let -1/6*o**4 + 1/3*o**3 - 1/6*o**2 + 0 + 0*o = 0. Calculate o.
0, 1
Let f(v) be the second derivative of -2*v**6/105 - 2*v**5/35 - v**4/21 + 2*v + 4. Factor f(b).
-4*b**2*(b + 1)**2/7
Suppose -25 = 2*q + 3*q. Let c = -3 - q. Solve 7*f**4 - 3*f**c + f**2 - 4*f**4 + f**3 = 0 for f.
-1, 0, 2/3
Factor -1/6*n**3 + 0 + 2/3*n - 1/2*n**2.
-n*(n - 1)*(n + 4)/6
Let 20/3*o**2 + 8/9 - 68/9*o = 0. What is o?
2/15, 1
Let s = -311 - -215. Let i be s/21 + 2 + 4. Solve 6/7*c**3 + 18/7*c**4 + 0 + 2/7*c - i*c**2 = 0.
-1, 0, 1/3
Let b(x) be the second derivative of -x**7/3360 - x**6/720 - x**5/480 - 2*x**3/3 + x. Let i(m) be the second derivative of b(m). Determine f so that i(f) = 0.
-1, 0
Find l, given that -20*l**4 + 3 - 6*l - 3*l + 6*l**2 + 3*l**5 + 6*l**3 + 11*l**4 = 0.
-1, 1
Let p(t) = -t**3 - 8*t**2 + 2*t + 2. Let x(u) = -9*u**2 + 3*u + 3. Let d(g) = -3*p(g) + 2*x(g). Solve d(i) = 0 for i.
-2, 0
Let b be (-133)/3 - (-8)/24. Let x = 47 + b. Determine s, given that 0*s + 8/3 - 2/3*s**x - 2*s**2 = 0.
-2, 1
Let s(j) be the third derivative of -j**6/60 + j**5/30 + 5*j**4/12 + j**3 + 13*j**2. What is k in s(k) = 0?
-1, 3
Let k(g) be the third derivative of -g**8/84 - 4*g**7/105 + g**6/30 + 2*g**5/15 - 45*g**2. Find v such that k(v) = 0.
-2, -1, 0, 1
Let g(i) be the second derivative of -i**5/40 + i**4/3 - 7*i**3/4 + 9*i**2/2 - 7*i. Factor g(s).
-(s - 3)**2*(s - 2)/2
Let h be 6/(-12)*(-1)/6. Let n(t) be the second derivative of -1/60*t**6 + 0*t**2 - 1/8*t**4 - 2*t - h*t**3 + 0 - 3/40*t**5. Find p, given that n(p) = 0.
-1, 0
Let t(u) = -13*u**5 + 8*u**3 + 5*u. Suppose 3 = -5*r + 13. Let j(v) = 3*v**5 - 2*v**3 - v. Let z(i) = r*t(i) + 9*j(i). Factor z(h).
h*(h - 1)**2*(h + 1)**2
Suppose 2*g = 7*g + 20. Let s = g - -9. Factor 3*v**2 - 7*v**3 + 9*v**4 - 4*v**s + v**5 - 2*v**3.
-3*v**2*(v - 1)**3
Let w(y) = y + 7. Let k be w(-5). Suppose p + p - p + p**k = 0. Calculate p.
-1, 0
Let o = 61361/36 - 1705. Let v = 2/9 - o. Factor -1/4*r**4 + 0 + 1/4*r - 3/4*r**2 + v*r**3.
-r*(r - 1)**3/4
Let n(i) = 7*i**4 + i**3 + i**2 + 2*i + 5. Let m be 4/18 - 141/27. Let z(a) = -4*a**4 - a - 3. Let h(s) = m*z(s) - 3*n(s). Let h(j) = 0. Calculate j.
-1, 0
Let q(o) be the second derivative of o**8/2240 - o**7/224 + o**6/80 + o**5/40 - o**4/2 - 9*o. Let p(u) be the third derivative of q(u). Factor p(i).
3*(i - 2)**2*(4*i + 1)/4
Factor -2/9*w**4 + 4/9*w**3 + 0 + 0*w**2 + 0*w.
-2*w**3*(w - 2)/9
Let w(f) = 3*f**3 - 4*f**2. Let o(b) = -20*b**3 + 26*b**2. Let c(p) = -10*p**3 + 13*p**2. Let s(a) = 7*c(a) - 4*o(a). Let q(z) = 2*s(z) - 7*w(z). Factor q(g).
-g**2*(g - 2)
Let h(c) = c**3 + c**2 + 7. Let y(d) = 3. Let p(f) = -3*h(f) + 7*y(f). Factor p(l).
-3*l**2*(l + 1)
Let -4/3*r**2 + 8*r - 4*r**4 + 16/3 - 2/3*r**5 - 22/3*r**3 = 0. What is r?
-2, -1, 1
Find k, given that 0*k - 3/4*k**4 + 0 + 3*k**2 + 9/4*k**3 = 0.
-1, 0, 4
Let q = -2/49 - -116/441. Factor 2/9*f - q*f**4 - 2/9*f**3 + 2/9*f**2 + 0.
-2*f*(f - 1)*(f + 1)**2/9
Let t(c) be the second derivative of 16/9*c**3 + 1/15*c**5 - 8/3*c**2 - 5/9*c**4 + 0 + c. Factor t(o).
4*(o - 2)**2*(o - 1)/3
Let j be (47 + -46)/(2*-1 + 4). Find g such that 3/4*g + 1/4*g**2 + j = 0.
-2, -1
Let j(n) = 3*n - 72. Let p be j(25). Let c(l) be the third derivative of 1/150*l**5 + 0*l + 1/60*l**4 + 2*l**2 + 0 - 1/150*l**6 + 0*l**p. Factor c(a).
-2*a*(a - 1)*(2*a + 1)/5
Let k(p) be the second derivative of p**7/42 - p**6/15 + p**4/6 - p**3/6 - 2*p. Find w, given that k(w) = 0.
-1, 0, 1
Let i(b) be the third derivative of -3*b**7/20 - 19*b**6/160 + 13*b**5/40 + b**4/32 - b**3/4 - 8*b**2. What is t in i(t) = 0?
-1, -2/7, 1/3, 1/2
Let i be 62/(-24) - (-9)/18*6. Let m(j) be the second derivative of -1/30*j**6 + 1/5*j**5 + 0*j**2 + 3*j - i*j**4 + 0 + 1/3*j**3. Solve m(q) = 0.
0, 1, 2
Factor 0 - 1