Let m(w) be the second derivative of -w**6/150 - w**5/10 - 23*w**4/60 - 7*w**3/15 - 38*w. Find u such that m(u) = 0.
-7, -2, -1, 0
Let t(a) be the first derivative of 2*a**3/15 + a**2 - 28*a/5 + 99. Suppose t(f) = 0. Calculate f.
-7, 2
Let q be 6/2*(-184)/(-138). Let t(v) be the second derivative of 0*v**3 + 0*v**2 + 1/20*v**q + 0 + 3*v - 3/100*v**5. Factor t(y).
-3*y**2*(y - 1)/5
Factor -9*r - 6*r**2 + 17*r**3 + 18*r**3 - 55*r**3 + 23*r**3.
3*r*(r - 3)*(r + 1)
Factor -3 + 1/2*k**2 + 23/4*k.
(k + 12)*(2*k - 1)/4
Let i(d) be the third derivative of 0 - 1/2*d**5 + 3/8*d**4 + 0*d**3 + 1/112*d**8 + 3/10*d**6 - 16*d**2 + 0*d - 3/35*d**7. Factor i(x).
3*x*(x - 3)*(x - 1)**3
Let u = -233/5 + 47. Let a be 102/20 + (-18)/36 + -1. What is x in 6/5*x**4 - u*x**2 - a*x - 4/5 - 28/5*x**5 + 46/5*x**3 = 0?
-1, -1/2, -2/7, 1
Let r(x) be the second derivative of 0*x**3 + 14*x - 2/15*x**6 + 0 + 0*x**5 - 2*x**2 + 2/3*x**4. Factor r(y).
-4*(y - 1)**2*(y + 1)**2
Let u = -12007/2 + 6008. Suppose -3/4*x**2 - 3/2*x + u*x**3 + 0 + 3/2*x**5 + 21/4*x**4 = 0. Calculate x.
-2, -1, 0, 1/2
Let x(r) be the second derivative of 2*r**7/21 + r**6/5 - 4*r**5/5 - 5*r**4/6 + 4*r**3 - 4*r**2 - 142*r. Let x(q) = 0. Calculate q.
-2, 1/2, 1
Let q = 4289/23650 - -1/2150. Determine m so that 0*m - q + 2/11*m**2 = 0.
-1, 1
Let t(s) be the second derivative of -s**7/42 - s**6/30 + 3*s**5/10 - s**4/6 - 5*s**3/6 + 3*s**2/2 + 59*s. Solve t(m) = 0 for m.
-3, -1, 1
Suppose 3*m = -6, 155 = o - m - 28. Solve 18*l + 12*l + 106 - 3*l**2 - o = 0.
5
Let p(k) be the second derivative of 3/80*k**5 + 0*k**2 + 0 + 1/24*k**3 + 1/16*k**4 + 1/120*k**6 - 10*k. Factor p(u).
u*(u + 1)**3/4
Let s(p) be the second derivative of p**7/21 + 13*p**6/15 + 33*p**5/10 - 77*p**4/6 - 98*p**3/3 + 262*p. Suppose s(g) = 0. What is g?
-7, -1, 0, 2
Determine u so that -2/5*u**4 + 1/5*u + 0*u**3 + 0 - 1/5*u**5 + 2/5*u**2 = 0.
-1, 0, 1
Let u(a) be the first derivative of -3*a**5/20 - 3*a**4/2 - 21*a**3/4 - 33*a**2/4 - 6*a + 11. Let u(k) = 0. Calculate k.
-4, -2, -1
Suppose -5*r - 17 = -17. Suppose r = -5*j + 77 - 57. Factor 3/2*p**2 - 1/2*p**3 + 5/2*p + 1 - 1/2*p**j.
-(p - 2)*(p + 1)**3/2
Suppose -324*z + 1828 = 270*z - 137*z. Factor -22/3*f**2 - 1/3*f**z - 3 - 8/3*f**3 - 8*f.
-(f + 1)**2*(f + 3)**2/3
Let n = -47 + 52. Factor -25 - n*q**2 + 0 - 20 + 10*q + 20*q.
-5*(q - 3)**2
Let w(l) = l**3 + 26*l**2 - 89*l - 51. Let s be w(-29). Let f(h) be the first derivative of 20/3*h**2 + s - 16/3*h + 4/9*h**3 - 5/6*h**4. Factor f(v).
-2*(v - 2)*(v + 2)*(5*v - 2)/3
Suppose 3*b = 9 + 3. Let k be 31/11 - b/(-22). Factor -a**2 + 3*a + a**3 - 4 + k - 2*a**2.
(a - 1)**3
Let q(k) be the third derivative of k**5/60 - 5*k**4/24 - 7*k**3/3 - 2*k**2 + 52. Suppose q(r) = 0. What is r?
-2, 7
Factor 3/4*w**3 + 3072 + 36*w**2 + 576*w.
3*(w + 16)**3/4
Let z be 3*(9 + -2 - 5). Find h such that -2*h**2 - h**5 + 3*h**2 + z*h**4 - 7*h**4 + 0*h**5 + h**3 = 0.
-1, 0, 1
Let l(k) be the second derivative of -k**6/15 + 3*k**5/10 - k**4/6 - k**3 + 2*k**2 - 42*k. Solve l(w) = 0.
-1, 1, 2
Find m such that 0 - 3/2*m**3 + 0*m + 0*m**2 = 0.
0
Factor 4068*d - 1398*d**2 + 445*d**2 - 767*d**2 - 2306*d**2 + 256*d**3 - 756 - 1542*d**2.
4*(d - 21)*(8*d - 3)**2
Determine m, given that 1444/5 + 4/5*m**2 + 152/5*m = 0.
-19
Let o(l) = 3*l + 1. Let h be o(1). Determine z so that 11*z**h - 19*z**2 - 27*z + 61*z**3 + 4 + 49*z**4 + 11*z = 0.
-1, -2/3, 1/4, 2/5
Let i(y) be the second derivative of -y**4/54 - y**3/27 + 16*y - 1. Factor i(d).
-2*d*(d + 1)/9
Let c = 3/233 - -125/8388. Let y(d) be the second derivative of 0*d**2 + 0 + d - c*d**4 + 1/18*d**3. Determine w so that y(w) = 0.
0, 1
Let a be 31 - (3 + -4)*-1. Suppose -10 = 5*h - a. Factor 172 - 168 + 3*f**3 + 5*f**3 - 8*f**2 - 4*f**5 + 4*f**h - 4*f.
-4*(f - 1)**3*(f + 1)**2
Suppose 3*i = -3*f + 7*f - 57, -2*f = 4*i - 12. Suppose -m + 5*l - 4 = -21, 4*l = -f. Factor r + 2*r**4 - m*r**2 - r.
2*r**2*(r - 1)*(r + 1)
Let v(c) be the second derivative of -c**7/126 + 13*c**6/90 - 2*c**5/3 + c**4 - 120*c. Suppose v(n) = 0. Calculate n.
0, 2, 9
Suppose 0 = -6*v + 2*v + 20. Suppose -2*k + 4 = -b - 13, -2*k - v*b = 13. Factor 7*a**5 + 3*a**5 - 3*a**3 + k*a**3 - 12*a**4 - 3*a**5 + 2*a**2.
a**2*(a - 1)**2*(7*a + 2)
Let v(d) = -3 + 45*d**3 - 9 - 21*d**5 - 42*d**2 - 6*d**5. Let t(o) = 11*o**5 - 18*o**3 + 17*o**2 + 5. Let n(g) = 12*t(g) + 5*v(g). Factor n(h).
-3*h**2*(h - 1)**2*(h + 2)
Factor -44 + 416*o + 5*o**2 - 332*o - 4*o**3 - 41*o**2.
-4*(o - 1)**2*(o + 11)
Let a(n) be the third derivative of -27*n**8/448 + 5*n**7/56 + 2*n**6/9 + n**5/6 - n**4/6 + 11*n**2. Let b(l) be the second derivative of a(l). Solve b(q) = 0.
-2/9, 1
Let q(l) be the third derivative of 2*l**7/105 - l**6/30 - 7*l**5/20 - 3*l**4/8 - 370*l**2. Let q(n) = 0. What is n?
-3/2, -1/2, 0, 3
Let n(h) be the third derivative of h**7/70 - 3*h**6/20 + 3*h**5/5 - h**4 + 36*h**2. Find l such that n(l) = 0.
0, 2
Let b be 1*(-9)/(-3) + (-14)/(-7). Let u(r) be the third derivative of 0 + 1/3*r**3 + 1/6*r**4 + 0*r + 7*r**2 + 1/30*r**b. Determine k, given that u(k) = 0.
-1
Let m(k) = k**4 + 16*k**2 + 24*k - 11. Let b(x) = -15*x**2 - 20*x + 10. Let r(p) = 6*b(p) + 5*m(p). Find h such that r(h) = 0.
-1, 1
Suppose -23*t - 1824 = 16116. Let c be ((-2)/(-4))/1 - (-30)/t. Find i such that 4/13*i + 2/13*i**2 - c = 0.
-3, 1
Let q = 3989 - 3989. Factor -5/2*v**4 + v + 5/2*v**2 + q - v**3.
-v*(v - 1)*(v + 1)*(5*v + 2)/2
Let y(x) = -3*x**2 - 156*x - 5935. Let m(d) = -13*d**2 - 625*d - 23743. Let j(n) = 2*m(n) - 9*y(n). Factor j(b).
(b + 77)**2
Let f(c) = -c**4 + c**3 - c**2 - c + 1. Let x(r) = 6*r**4 - 2*r**3 + 7*r**2 + 5*r - 5. Let g(v) = -10*f(v) - 2*x(v). Factor g(w).
-2*w**2*(w + 1)*(w + 2)
What is r in -1/2*r**4 - 1/2*r**5 + 14*r**2 + 0 + 8*r + 6*r**3 = 0?
-2, -1, 0, 4
Let f(c) be the second derivative of 5*c**4/12 + 275*c**3/6 - 140*c**2 - 89*c. Solve f(a) = 0 for a.
-56, 1
Factor 5 - 6*m + 5 + 11 - 2*m**2 - 6*m - 7.
-2*(m - 1)*(m + 7)
Let f be ((-491)/34)/((-7)/6) - -1. Let v = -174/17 + f. Factor 24/7*l**2 + 0 + v*l**3 - 60/7*l**4 - 50/7*l**5 - 8/7*l.
-2*l*(l + 1)**2*(5*l - 2)**2/7
Let i(l) be the second derivative of l**7/42 - 2*l**6/5 + 11*l**5/10 + 7*l**4 + 49*l**3/6 - 31*l. Factor i(s).
s*(s - 7)**2*(s + 1)**2
Let m = -9671/18 - -1075/2. Let -m*i**5 + 0*i**3 - 8/9*i**2 + 0*i + 2/3*i**4 + 0 = 0. What is i?
-1, 0, 2
Let s = 198 - 198. Let g(t) be the second derivative of 0*t**4 + 0*t**2 + 0*t**3 + 0 - 2/21*t**7 - 5*t + 1/30*t**6 + s*t**5. Factor g(r).
-r**4*(4*r - 1)
Let f(n) = n**2 - 7*n + 5. Let u be f(6). Let q(w) = w - 3 + 2 + 0. Let i(k) = 3*k**2 + 6*k - 6. Let d(y) = u*i(y) + 6*q(y). Factor d(b).
-3*b**2
Let d(u) be the first derivative of 7*u**4/20 - 6*u**3/5 + u**2/2 + 6*u/5 + 282. Determine n so that d(n) = 0.
-3/7, 1, 2
Let y(d) be the third derivative of d**6/60 + 11*d**5/30 + 5*d**4/6 + 2*d**2 + 14*d. What is v in y(v) = 0?
-10, -1, 0
Suppose -3*z + 4*q + 23 = 5, 0 = -q. Let r(p) = -p**3 - p**2. Let j(n) = 11*n**3 - 4*n**2 - 5*n + 10. Let x(h) = z*r(h) + j(h). Find y such that x(y) = 0.
-1, 1, 2
Let s(z) = -16*z**2 + 4. Let b(l) = -l**3 - l. Suppose -3 = 2*p - 5. Let a(j) = p*s(j) - 6*b(j). Solve a(c) = 0.
-1/3, 1, 2
Let l = 83/3 - 27. Let j = -7/9 + 13/9. Let 0*r + l*r**3 + 0 - j*r**2 = 0. Calculate r.
0, 1
Factor -109*y**2 + 77*y + 64*y**2 + 19*y + 66*y**2.
3*y*(7*y + 32)
Suppose 9*l - 6*l = m + 11, 3*l = 3*m + 15. Let z(j) be the third derivative of 0*j + 6*j**2 - 1/30*j**5 + 0 - 1/3*j**l + 1/6*j**4. Solve z(w) = 0.
1
Let x be ((-2)/6)/(34/144). Let t = x + 236/119. Find r, given that -t*r + 2/7 + 2/7*r**2 = 0.
1
Let j(a) be the first derivative of 4*a**3/21 - 110*a**2/7 + 216*a/7 + 167. Factor j(o).
4*(o - 54)*(o - 1)/7
Let v = -68951/3 + 22986. Let v*a**3 + 4/3*a + 16/3*a**2 + 0 = 0. What is a?
-2, -2/7, 0
Let l(b) be the first derivative of -b**7/112 - 3*b**6/80 - 9*b**5/160 - b**4/32 + 15*b - 12. Let z(o) be the first derivative of l(o). Factor z(w).
-3*w**2*(w + 1)**3/8
Let n = -1225 + 1230. Let f(t) be the third derivative of -3/10*t**6 + 0 - 11*t**2 + 7/5*t**n + 8/3*t**3 + 0*t - 8/3*t**4. Factor f(u).
-4*(u - 1)*(3*u - 2)**2
Let v(f) be the third derivative of -f**8/168 - 3*f**7/35 - 7*f**6/30 + 28*f**5/15 + 8*f**4 - 128*f**3/3 - 38*f**2. Find a, given that 