 -2*h + 8 = -24 + 22. Factor 7/2*q**4 + 0 + 0*q - 3/4*q**5 - h*q**3 + 2*q**2.
-q**2*(q - 2)**2*(3*q - 2)/4
Let q(o) be the third derivative of 0*o**3 + 0 - 1/45*o**5 + 0*o - 1/36*o**6 - 1/504*o**8 + 0*o**4 - 4/315*o**7 - 6*o**2. Factor q(t).
-2*t**2*(t + 1)**2*(t + 2)/3
Suppose -2/5*u**2 - 8/5 - 8/5*u = 0. Calculate u.
-2
Let f(m) be the second derivative of m**4/12 - 2*m**3 - 523*m. Factor f(x).
x*(x - 12)
Let 325*f**2 + 169*f + 0 + 1/4*f**5 - 25/2*f**4 + 573/4*f**3 = 0. Calculate f.
-1, 0, 26
Factor -y - 87 - 4*y**3 + 57*y - 144*y**2 - 9 + 188*y**2.
-4*(y - 12)*(y - 1)*(y + 2)
Suppose 5 + 0 = 7*f - 9. Solve 5/4*l**4 + 35/4*l**3 + 25*l + 45/2*l**f + 10 = 0.
-2, -1
Let g = 256 - 11519/45. Let q(a) be the second derivative of 2*a + 1/135*a**6 + 2/27*a**3 + 0 + 0*a**2 - g*a**5 - 1/54*a**4. What is f in q(f) = 0?
-1, 0, 1, 2
Let q = 757/3786 + 1/18930. Factor -2/5 + q*n**2 - 1/5*n.
(n - 2)*(n + 1)/5
Let f(c) = -c**2 - 5*c**2 - 3*c**2 + 5 - 32*c + 3*c. Let y(x) = -5*x**2 - 15*x + 3. Let t(u) = -3*f(u) + 5*y(u). Factor t(d).
2*d*(d + 6)
Let z(h) be the third derivative of 1/210*h**7 - 1/60*h**5 + 0*h**3 + 5*h**2 + 0*h**4 + 0*h + 0 + 0*h**6. Factor z(w).
w**2*(w - 1)*(w + 1)
Let x = 808 + -512. Factor 5*l**2 - x + 15*l + 0*l + 306.
5*(l + 1)*(l + 2)
Let p be (132/(-77))/((-4)/14). Suppose 2 = -2*n + p. Determine g so that -4 - 4*g**n - g**2 - 40*g - 66 - 10 = 0.
-4
What is o in 5/4*o**5 - 15/4*o**2 + 15/4*o**4 + 0*o + 0 - 5/4*o**3 = 0?
-3, -1, 0, 1
Let c(z) be the third derivative of z**5/120 - 13*z**4/16 - 41*z**3/6 - 473*z**2. Factor c(j).
(j - 41)*(j + 2)/2
Let o(b) be the second derivative of -b**7/2520 + b**6/90 - 2*b**5/15 + 7*b**4/6 + 4*b. Let d(v) be the third derivative of o(v). Suppose d(u) = 0. What is u?
4
Let h(l) = -l**3 + l**2 - 3*l - 5. Let r(f) = 3*f - 5*f + 3*f + 4. Let k(g) = -g - 5. Let q(u) = 3*k(u) + 4*r(u). Let d(x) = -h(x) - 4*q(x). Factor d(w).
(w - 1)**2*(w + 1)
Let g = 3/1346 + 2013/2692. Let v(k) = -k**2 - k + 2. Let h be v(0). Factor -g - 33/4*r**h - 9/4*r**3 - 19/4*r.
-(r + 3)*(3*r + 1)**2/4
Let b be -5*((-1)/15 - (240/(-15) - -17)). Suppose 14/3 + 2/3*w**2 - b*w = 0. What is w?
1, 7
Let y(q) = -20*q**3 - q**2 + 36*q - 7. Let r(h) = -6*h**3 + 12*h - 2. Let v(m) = -14*r(m) + 4*y(m). Suppose v(g) = 0. Calculate g.
-2, 0, 3
Let o(s) = -4*s**3 + 23*s**2 + 6*s + 33. Let c(k) = 5*k**3 - 22*k**2 - 7*k - 34. Let h(b) = -5*c(b) - 6*o(b). Let d be h(-28). Factor -1/2*x + 1/4*x**2 + d.
x*(x - 2)/4
Suppose 2/11*j**5 + 0 - 2*j**3 - 6/11*j**2 + 20/11*j + 6/11*j**4 = 0. Calculate j.
-5, -1, 0, 1, 2
Let y(r) be the third derivative of r**7/420 - r**5/15 - 7*r**3/6 + 12*r**2. Let f(i) be the first derivative of y(i). Find t such that f(t) = 0.
-2, 0, 2
Let x be (-15)/(-5) + (-7 - -6). Factor -1/4*w**x - 25/4 - 5/2*w.
-(w + 5)**2/4
Let q(f) = f**3 - 64*f**2 + 1196*f - 8004. Let l(d) = d**3 - 63*d**2 + 1197*d - 8003. Let y(t) = -4*l(t) + 3*q(t). Factor y(u).
-(u - 20)**3
Let h(k) be the first derivative of -k**6/4 + 9*k**5/5 - 27*k**4/8 + 2*k**3 + 5. Find p such that h(p) = 0.
0, 1, 4
Let b(t) be the second derivative of -t**6/36 + t**5/40 + t**4/36 - 176*t. Solve b(h) = 0 for h.
-2/5, 0, 1
Let c(t) be the first derivative of 5/4*t**2 - 25/4*t - 1/12*t**3 - 8. Factor c(j).
-(j - 5)**2/4
Suppose 3*b - 3*z = 15, -3*z - 15 = -305*b + 306*b. Factor b + 0*d - 3/4*d**2 - 3/4*d**3.
-3*d**2*(d + 1)/4
Let u be (-3)/(-9) + 116/12. Let f(l) = -l**2 + 7*l + 33. Let r be f(u). Determine s, given that -s**r - s**2 - 1/3*s + 0 - 1/3*s**4 = 0.
-1, 0
Let l(s) = s**4 - 2*s**2 - s. Let k(m) = 4*m**4 + 42*m**3 + 39*m**2 + m. Let i(t) = 3*k(t) + 21*l(t). Factor i(w).
3*w*(w + 1)*(w + 3)*(11*w - 2)
Suppose -2*j + 68 = -8*a, -j + 2*a + 95 = 77. Solve 0 + 1/2*k**3 + 0*k**j - 2*k = 0 for k.
-2, 0, 2
Let s = -18 + 21. Factor 11*z**s - 11*z + 16*z**2 - 5*z - 15*z**3.
-4*z*(z - 2)**2
Suppose 0 + 4/5*n**4 - 72/5*n**2 - 12/5*n**3 + 0*n = 0. What is n?
-3, 0, 6
Let o(c) be the second derivative of 17*c - c**2 + 5/6*c**3 - 1/3*c**4 + 1/20*c**5 + 0. Solve o(q) = 0.
1, 2
Factor -5/3*j + 2/3*j**2 + 1/3*j**3 - 2.
(j - 2)*(j + 1)*(j + 3)/3
Let c be 218/14 - (30/(-35))/2. Suppose c*m - 15*m = 3. Factor -1/4*a**5 + 3/4*a**m + 0 + 1/2*a - 1/4*a**4 + 5/4*a**2.
-a*(a - 2)*(a + 1)**3/4
Let y(d) = 2*d**2. Let o(h) = -2*h**2 - h. Let w be 2*9/6*1. Let a(q) = w*y(q) + 2*o(q). Factor a(j).
2*j*(j - 1)
Let p = -418/5 + 3862/45. Let m(z) = -28*z + 282. Let r be m(10). Suppose 2/9*a**5 - p*a**r + 10/9*a - 2/9 - 10/9*a**4 + 20/9*a**3 = 0. Calculate a.
1
Suppose 20*z - 260 + 220 = 0. Let q(o) be the second derivative of -4/63*o**3 - 1/126*o**4 + 5*o + 0 - 4/21*o**z. Solve q(c) = 0.
-2
Factor 24/23 + 2/23*d**2 + 14/23*d.
2*(d + 3)*(d + 4)/23
Let a(b) be the second derivative of b**4/24 - b**3/12 - 5*b**2 - 8*b - 18. Factor a(s).
(s - 5)*(s + 4)/2
Find r such that -3/4*r**2 - 27 - 15*r = 0.
-18, -2
Let n = -7 - -9. Let f be 7/n + 9/18. Factor 7*k**4 + 4*k**2 + 2 - 9*k**4 - f + 2*k + 2*k**5 - 4*k**3.
2*(k - 1)**3*(k + 1)**2
Let o(j) be the first derivative of j**3/9 - 7*j**2/2 + 20*j/3 - 6. Factor o(s).
(s - 20)*(s - 1)/3
Let m(d) be the third derivative of d**8/112 + 5*d**7/56 + 3*d**6/80 - 37*d**2. Suppose m(b) = 0. Calculate b.
-6, -1/4, 0
Solve -785/2*l - 15/2*l**3 + 155 + 245*l**2 = 0 for l.
2/3, 1, 31
Let r(f) = -18*f**2 + 144*f + 916. Let s(j) = -2*j**2 + 16*j + 102. Let q(k) = -3*r(k) + 26*s(k). Factor q(o).
2*(o - 12)*(o + 4)
Let u be (2 + -4)/(-2) + (-2)/(-2). Let -5*t**2 + 7*t**u - 4*t + 2*t**2 - 8 = 0. What is t?
-1, 2
Let u be (-45)/(-60) - 9/36. Factor -u*r**4 - 6*r**2 - 3/2 + 5*r + 3*r**3.
-(r - 3)*(r - 1)**3/2
Let 16*p**2 + 30 + 165*p + 11 - 7*p**2 - 5*p**2 = 0. What is p?
-41, -1/4
Let j(h) be the third derivative of -h**7/280 + 7*h**6/48 + 31*h**5/60 + 13*h**4/48 - 25*h**3/24 + 523*h**2. Solve j(d) = 0 for d.
-1, 1/3, 25
Let g(f) = -f**3 + 3*f**2 - 9*f + 5. Let s(r) = 8*r + 2*r**3 - r**3 - 2214*r**2 + 2212*r**2 - 4. Suppose 1 = -2*a + 7. Let x(n) = a*s(n) + 4*g(n). Factor x(t).
-(t - 2)**3
Let u(k) be the third derivative of 1/112*k**8 - 2/35*k**7 + 1/10*k**5 - 9*k**2 - 5/8*k**4 + k**3 - 1 + 0*k + 1/10*k**6. Determine t, given that u(t) = 0.
-1, 1, 2
Let b(z) be the first derivative of -z**4/3 - 4*z**3/3 + 6*z**2 - 4*z - 14. Let h(o) be the first derivative of b(o). Factor h(f).
-4*(f - 1)*(f + 3)
Suppose 63 = 6*u + 21. Suppose -3*i + 8 = 4*c, i + u = c - 2. Solve 11 - 5*r**3 - 11 - 3*r**2 + c*r**4 - 2*r**2 + 5*r**5 = 0 for r.
-1, 0, 1
Let j(a) be the second derivative of a**7/84 + a**6/5 + 23*a**5/20 + 5*a**4/2 + 25*a**3/12 - 6*a - 3. Factor j(r).
r*(r + 1)**2*(r + 5)**2/2
Let m(o) = o**3 - 9*o**2 + 18*o. Suppose -2*j = -8*j + 36. Let t be m(j). Find h such that 0*h - 2/11*h**2 + t = 0.
0
Let q(w) be the first derivative of -1 + 0*w + 1/6*w**4 - 1/30*w**5 + 0*w**2 + 0*w**3. Suppose q(y) = 0. Calculate y.
0, 4
Let l be (8/(-24))/(2/(-9)). Let j = -2565 - -2568. Factor 1/4*w**4 + l*w**2 + 1/4 + w + w**j.
(w + 1)**4/4
Suppose 7*p - 12 = 2. Let n(s) be the second derivative of 20/3*s**3 + 1/5*s**6 + 0 + 4*s**2 + 8/5*s**5 + 29/6*s**4 - p*s. Find g, given that n(g) = 0.
-2, -1, -1/3
Let u(c) = -2*c + 20. Let g be u(6). Let z = -4 + g. Solve 33 + 5 + 19*j + 26 + z*j**2 + 13*j = 0 for j.
-4
Let j(n) be the third derivative of n**5/15 - 7*n**4/2 + 160*n**3/3 - 785*n**2. Factor j(m).
4*(m - 16)*(m - 5)
Let i(b) be the second derivative of -3*b**5/20 - 5*b**4/2 - 17*b**3/2 - 12*b**2 + 8*b + 7. Find s such that i(s) = 0.
-8, -1
Let p be ((-3)/(-12))/((-5)/2592) + -3. Let i = 133 + p. Suppose 0*d**3 - 2/5*d - 4/5*d**2 + 0 + i*d**5 + 4/5*d**4 = 0. Calculate d.
-1, 0, 1
Let j(i) be the first derivative of -i**3/18 - 95*i**2/12 - 236. Determine d so that j(d) = 0.
-95, 0
Suppose 5*f - 15 = -0*f. Let z(y) = -y - 2. Let b be z(-6). Solve 10*j - 360*j**2 - 17*j - 75*j**b - 48 - 73*j - 160*j - 9*j**5 - 240*j**f = 0.
-2, -1/3
Factor -1/6*f**2 - 34/3 + 7/2*f.
-(f - 17)*(f - 4)/6
Let s = 40 - 37. Let n be -1 - (s - 7) - (-4)/2. Determine p, given that -2*p**4 + 0 - 4/5*p - 2/5*p**n - 14/5*p**2 - 18/5*p**3 = 0.
-2, -1, 0
Let n(w) = -w**4 + 13*w**3 - 10*w**2 - 19*w - 28. Let f(s) = s**4 - 6*s**3 + 6*s**2 + 10*s + 15. Let l(g) = 11*f(g) + 6*n(g). Find r, given that l(r) = 0.
-1, 3/5
Let x(d) = 