5 - 1/7*c**4. Let u(h) = 0. Calculate h.
0, 2, 3
Let w(g) be the second derivative of -g**5/70 + 11*g**4/42 + 4*g**3/7 - 2*g - 7. Suppose w(s) = 0. What is s?
-1, 0, 12
Let z be 168/40 - 2/10. Factor -5*p**3 - p**z + 8*p**2 - 4*p**4 + 6*p**4 - 4*p.
p*(p - 2)**2*(p - 1)
Let v(g) be the third derivative of -g**5/300 + 59*g**4/30 - 6962*g**3/15 - 24*g**2 + 8. Let v(c) = 0. What is c?
118
Factor -y**5 + 2*y + 11*y**2 - 15*y**2 + 2*y**3 + y + 2 + 2*y**4 - 4*y.
-(y - 2)*(y - 1)**2*(y + 1)**2
Let c(m) = 33*m**5 + 3*m**4 - 39*m**3 - 129*m**2 + 63*m + 288. Let u(y) = -2*y**5 + y**4 + y**3 - y**2 - y. Let r(f) = c(f) + 15*u(f). Solve r(x) = 0.
-6, -2, 2
Let b(h) be the first derivative of h**4/42 + 5*h**3/21 + 4*h**2/7 - 8*h - 27. Let q(o) be the first derivative of b(o). Find d, given that q(d) = 0.
-4, -1
Let v = 2531/30 - -193/10. Let b = 104 - v. Factor 1/2*y**3 + 0 + 0*y**4 + 0*y - 1/6*y**5 + b*y**2.
-y**2*(y - 2)*(y + 1)**2/6
Let n(d) be the first derivative of 5*d**4/8 - 5*d**3 + 55*d**2/4 - 15*d + 46. Suppose n(s) = 0. What is s?
1, 2, 3
Let p(n) be the second derivative of -n**5/20 + n**4/3 - n**3/2 + n**2 + 15*n. Let h be p(3). Factor -2/5*i**h - 4/5 + 6/5*i.
-2*(i - 2)*(i - 1)/5
Suppose -20 = -d - 4*w, -5*w + 75 = -d + 131. Solve d + 6*p + 1/4*p**2 = 0 for p.
-12
Let j(v) = -131*v + 396. Let b be j(3). Suppose 1/5*t**5 + 7/5*t**b + 0*t + t**4 + 3/5*t**2 + 0 = 0. Calculate t.
-3, -1, 0
Let h(z) = -5*z**2 + z + 1. Let q(m) = 4*m**2 - m - 1. Let g(t) = -3*h(t) - 4*q(t). Let o(r) = -6*r**2 + 6*r + 5. Let l(j) = -5*g(j) + o(j). Factor l(n).
-n*(n - 1)
Let a(f) be the first derivative of 4*f**5/5 - 7*f**4 + 24*f**3 - 40*f**2 + 32*f - 69. Factor a(w).
4*(w - 2)**3*(w - 1)
Let d(x) = -x**3 - 5*x**2 - 5*x + 5. Let i be d(-5). Let m = 33 - i. Find k, given that -24*k - 1/2*k**m - 6*k**2 - 32 = 0.
-4
Let p = -69 + 75. Suppose -p*s = -17*s - s. Find z such that 2/7*z**3 - 2/7*z**2 + 2/7*z**4 - 2/7*z + s = 0.
-1, 0, 1
Determine d, given that 940*d + 210*d**3 + 90*d**3 - 479*d**2 + 256*d**2 + 5*d**4 - 315 - 707*d**2 = 0.
-63, 1
Let m(i) be the first derivative of -2*i**7/735 - i**6/210 + i**5/105 + i**4/42 + 11*i**2/2 - 11. Let j(s) be the second derivative of m(s). Factor j(w).
-4*w*(w - 1)*(w + 1)**2/7
Suppose 8 - 47/6*d - 1/6*d**2 = 0. What is d?
-48, 1
Let g(x) be the third derivative of 1/45*x**4 + 0*x**3 + 0 + 1/90*x**5 + 0*x - 41*x**2 + 1/900*x**6. Factor g(n).
2*n*(n + 1)*(n + 4)/15
Let m be -7 + (-91566)/(-336) - (-1)/(-7). Let f = m + -264. Solve 9/8 - f*w**2 + 1/4*w**3 + 3/2*w = 0 for w.
-1/2, 3
Solve -51/7*m**3 + 0 - 45/7*m + 3/7*m**4 + 93/7*m**2 = 0 for m.
0, 1, 15
Let f = 9 - 4. What is x in f*x - 2*x**2 - 16 + 6*x**2 - 5*x = 0?
-2, 2
Find k, given that 24/17*k + 0*k**4 - 18/17*k**3 + 0 + 8/17*k**2 + 2/17*k**5 = 0.
-3, -1, 0, 2
Let c(v) = -v**3 - 21*v**2 + 6*v - 24. Let l(q) = -2*q**3 - 40*q**2 + 13*q - 52. Let z(x) = -13*c(x) + 6*l(x). Factor z(a).
a**2*(a + 33)
Let r = -2356 - -2359. Let f(q) be the first derivative of 4*q**5 + 5*q**4 + 11 - 25/2*q**2 + 5/6*q**6 - 10/3*q**r - 10*q. Factor f(z).
5*(z - 1)*(z + 1)**3*(z + 2)
Suppose 0 = 2*n + j + 3*j + 82, 67 = -2*n + j. Let z = -32 - n. Determine v, given that -1/2*v**z + 0 - 1/2*v - v**2 = 0.
-1, 0
Let m = 2329069/286825 - 2/11473. Let t = m - -7/25. Let 12/5*h - 39/5*h**3 + 9/5*h**4 + t*h**2 - 24/5 = 0. Calculate h.
-2/3, 1, 2
Let s(p) be the second derivative of -p**5/90 + 43*p**4/9 - 7396*p**3/9 + 636056*p**2/9 + 139*p. Factor s(w).
-2*(w - 86)**3/9
Let j(l) = -15*l**2 + l**3 + 16*l**3 - 2*l**2 + 9 - 16*l. Let a(m) = 8*m**3 - 8*m**2 - 8*m + 4. Let h(d) = 9*a(d) - 4*j(d). Suppose h(z) = 0. What is z?
-1, 0, 2
Let w(p) = 2*p - 1. Suppose z - 2 = 0, -4*z + 36 = 2*t - 8. Let n(x) = x**2 + 14*x - 14. Let g(s) = t*w(s) - 2*n(s). Let g(f) = 0. What is f?
-1, 5
Let f be 4*(-286)/(-77) + -14. Let c(a) = 4*a**2 + 1. Let t be c(-1). Determine q, given that 0 - f*q**t - 8/7*q**4 + 2*q**3 - 8/7*q + 8/7*q**2 = 0.
-2, -1, 0, 2/3, 1
Let c(i) be the third derivative of -i**6/24 + 3*i**5/4 + 48*i**2. Determine m so that c(m) = 0.
0, 9
Let d(h) be the first derivative of -h**4/8 - h**3/12 + h**2/4 + h/4 - 18. Factor d(s).
-(s - 1)*(s + 1)*(2*s + 1)/4
Let m(n) be the second derivative of -5*n**4/48 + 85*n**3/6 - 335*n**2/8 - 35*n - 6. Factor m(r).
-5*(r - 67)*(r - 1)/4
Factor -2*n**2 + 0 + 20/3*n - 2/3*n**3.
-2*n*(n - 2)*(n + 5)/3
Let r(h) be the third derivative of 1/98*h**7 + 0 + 10*h**2 - 49*h**3 + 0*h + 99/20*h**5 - 203/8*h**4 - 103/280*h**6. Factor r(d).
3*(d - 7)**3*(5*d + 2)/7
Let r(k) be the first derivative of 1/2*k**2 + 4 + 0*k + 1/8*k**4 - 1/40*k**5 + 3/4*k**3. Let x(i) be the second derivative of r(i). Factor x(c).
-3*(c - 3)*(c + 1)/2
Let x(l) be the first derivative of -3*l**4/4 - 20*l**3 + 610. Factor x(b).
-3*b**2*(b + 20)
Let b(y) be the third derivative of -y**5/270 + 5*y**4/54 - 7*y**3/9 + 5*y**2 - 8*y. Factor b(l).
-2*(l - 7)*(l - 3)/9
Let y(x) be the first derivative of 32/23*x**2 + 16/23*x**3 + 8 + 4/23*x**4 + 32/23*x + 2/115*x**5. Factor y(t).
2*(t + 2)**4/23
Factor 65*p**3 + 48*p - 24*p**2 - 46*p**3 - 3*p**4 - 40*p**3.
-3*p*(p - 1)*(p + 4)**2
Let f(u) = -3*u**3 - u**2 + 11*u + 11. Let r be f(-1). Factor -2*s - 4/3 + 2/3*s**3 + 0*s**r.
2*(s - 2)*(s + 1)**2/3
Let o be (-1 - -1)/(-27 + 25). Let y(t) be the second derivative of -1/50*t**6 + 0*t**3 + 2*t + 0*t**5 - 1/210*t**7 + 1/15*t**4 + 0*t**2 + o. Solve y(d) = 0.
-2, 0, 1
Solve 288 + 2/9*m**2 + 16*m = 0 for m.
-36
Solve 1782*b + 6*b**5 + 2133*b**2 + 324 + 231/2*b**4 + 1569/2*b**3 = 0 for b.
-6, -1, -1/4
Let s(t) = 0 - 5*t**2 - 3 + 3*t**3 + 1 + 0*t**2. Let u(x) = -x**2 - 1. Let v(p) = -s(p) + 2*u(p). Suppose v(h) = 0. Calculate h.
0, 1
Let w be (4/14 - (-4)/(-14)) + 3. Solve -8*v**3 - 20*v**5 - 5 + 6*v**2 + 25*v + 40*v**4 + w*v**3 - 16*v**2 - 25*v**2 = 0 for v.
-1, 1/2, 1
Let v be 8 + (1/(-7) - 7*(-697)/(-833)). Solve 48/13 - 116/13*h - 10/13*h**v = 0.
-12, 2/5
Let f be (65/25 - 0) + -3*1/15. Solve 15*j**3 - 12*j**2 + 0 + f*j = 0 for j.
0, 2/5
Let z(w) be the first derivative of w**6/42 + w**5/35 - 3*w**4/14 + 2*w**3/21 + 5*w**2/14 - 3*w/7 - 21. Factor z(n).
(n - 1)**3*(n + 1)*(n + 3)/7
Suppose -68*u + 78*u = 0. Let v(j) be the second derivative of -j**4 + u + 0*j**2 - 1/5*j**5 - 10*j - 4/3*j**3. Find r, given that v(r) = 0.
-2, -1, 0
Let v(t) be the third derivative of t**5/20 - 31*t**4/4 + 961*t**3/2 + 102*t**2. Factor v(r).
3*(r - 31)**2
Suppose 0 = 2*u + 26*x - 21*x + 36, 5*u = x + 18. Factor 10/3*o**u + 0 + 5/6*o**3 + 0*o.
5*o**2*(o + 4)/6
Factor 322/3*r**2 - 2/3*r**4 + 0 - 54*r - 158/3*r**3.
-2*r*(r - 1)**2*(r + 81)/3
Let s(v) = -63*v**3 + 6*v**2 + 69*v. Let j(h) = -9*h**3 + h**2 + 10*h. Suppose 17 = 5*d - 3*d - 5*t, 0 = -3*t - 15. Let i(q) = d*s(q) + 27*j(q). Factor i(l).
3*l*(l + 1)*(3*l - 2)
Let q be ((40 + -24)/80)/(1/10). Factor -3/5*w**q - 6/5*w**3 + 0 + 3/5*w.
-3*w*(w + 1)*(2*w - 1)/5
Let r(s) be the first derivative of s**4/14 - 8*s**3/21 - s**2 + 20*s/7 - 175. Find c, given that r(c) = 0.
-2, 1, 5
Let b(o) be the second derivative of o**7/14 - 4*o**6/5 + 18*o**5/5 - 17*o**4/2 + 23*o**3/2 - 9*o**2 + 144*o. Find d such that b(d) = 0.
1, 2, 3
Factor -57*z**3 + 0*z**5 + 32*z**3 + 18*z**4 + 2*z**4 + 5*z**5.
5*z**3*(z - 1)*(z + 5)
Let d(n) be the first derivative of -n**8/10920 + n**6/2340 + 2*n**3 - 2. Let c(k) be the third derivative of d(k). Suppose c(z) = 0. Calculate z.
-1, 0, 1
Factor -15*g**2 + 15*g - 12*g**4 - 3 + 30*g**3 - 15*g**2 + 3*g**5 - 3*g**4.
3*(g - 1)**5
Let c(o) = -o**4 - 7*o**3 - 3*o**2 + 3*o. Let x(m) = 2*m**4 + 13*m**3 + 6*m**2 - 5*m. Let g(f) = -5*c(f) - 3*x(f). Solve g(r) = 0.
-3, -1, 0
Let z(j) = 839*j**5 - 1418*j**4 + 345*j**3 + 226*j**2 + 20*j - 6. Let y(c) = c**5 - 2*c**4 - c**2 + 1. Let w(f) = -6*y(f) - z(f). Let w(q) = 0. Calculate q.
-2/13, 0, 1
Let g(w) be the second derivative of 1/30*w**3 + 1/30*w**4 + 0*w**2 + 31*w + 0 + 1/100*w**5. Factor g(p).
p*(p + 1)**2/5
Let x(q) = q**2 - 8*q - 3. Let f be x(5). Let s be 4/10*10*(-3)/f. Suppose 4*r - 6 - s*r**2 = 0. What is r?
3
Let o(a) be the first derivative of 3*a**4/4 - 6*a**3 - 3*a**2/2 + 18*a + 83. Factor o(h).
3*(h - 6)*(h - 1)*(h + 1)
Solve 2/3*o**3 + 2*o**4 - 4/3*o + 0 + 2/3*o**5 - 2*o**2 = 0 for o.
-2, -1, 0, 1
Suppose 0 + 4 = -v - g, 5*v