vative of -7*b**5/330 + 17*b**4/44 - 14*b**3/33 + 8*b**2 - 6*b + 3. Let c(w) be the first derivative of n(w). Solve c(h) = 0 for h.
2/7, 7
Factor 25/2 - 45/2*w + 5/2*w**3 + 15/2*w**2.
5*(w - 1)**2*(w + 5)/2
Factor 34*n**2 + 732*n + 212 - 516*n - 30*n**2.
4*(n + 1)*(n + 53)
Solve -27889/4 + 167/2*w - 1/4*w**2 = 0 for w.
167
Let i(k) be the second derivative of -1/55*k**6 - 6/55*k**5 + 0*k**2 + 0 - 3*k - 5/22*k**4 - 2/11*k**3. Solve i(o) = 0 for o.
-2, -1, 0
Let k = -6 - -8. Let a be (-568)/(-12) + 8/(-6). Find c such that -46 + a - c - c**k = 0.
-1, 0
Suppose -13*s = -741 - 1235. Let q be ((-57)/s)/(1/(-4)). Determine n, given that -3/2*n**4 + 3/2*n**3 + 3/2*n**2 + 0*n + 0 - q*n**5 = 0.
-1, 0, 1
Let r(n) be the first derivative of n**8/420 + 2*n**7/175 + 7*n**2/2 + 21. Let g(x) be the second derivative of r(x). Factor g(p).
4*p**4*(p + 3)/5
Let a(d) be the second derivative of d**7/168 + d**6/20 + 9*d**5/80 - 2*d - 6. What is u in a(u) = 0?
-3, 0
Suppose 0 = -15*i + 11 + 19. Factor -28/5*j - 6/5 + 2*j**i.
2*(j - 3)*(5*j + 1)/5
Let n(z) = z**2 - 23 - 5 + 0*z - 7*z. Let q be n(10). Determine l, given that 3*l**q + 2/3 + 11/3*l = 0.
-1, -2/9
Determine i so that 4418 - 8835/2*i**2 + 94*i**3 - 1/2*i**4 - 94*i = 0.
-1, 1, 94
Let b(h) be the third derivative of h**5/60 + 11*h**4/24 - 13*h**3/3 + 92*h**2. Solve b(a) = 0 for a.
-13, 2
Let u(s) be the second derivative of 0 - 81/100*s**5 - 4*s + 4/5*s**2 + 21/10*s**4 + 34/15*s**3. Solve u(y) = 0.
-2/9, 2
Suppose 2*o = -74 + 20. Let m be (4/o)/(1/(-6)). Solve m - 16/9*l - 10/9*l**2 = 0.
-2, 2/5
Suppose 6*n = -3*n. Let y(r) be the first derivative of n*r**5 + 1/9*r**6 + 5 + 0*r + 0*r**3 + 0*r**2 - 1/6*r**4. Factor y(h).
2*h**3*(h - 1)*(h + 1)/3
Let b = -501 - -504. Let v(o) be the second derivative of -1/4*o**2 + 1/40*o**5 - 6*o + 0 - 1/8*o**4 + 1/4*o**b. Factor v(p).
(p - 1)**3/2
Let i(j) = -j**3 - 24*j**2 - 21*j - 3. Let n be i(-23). Let a = n - -51. Factor 4/5*s**5 + 0 + 8/5*s**4 - 4/5*s + 0*s**3 - 8/5*s**a.
4*s*(s - 1)*(s + 1)**3/5
Suppose -1232 = 5*r - 1252. Factor 0*a + 4/7*a**2 - 8/7*a**3 + 4/7*a**r + 0.
4*a**2*(a - 1)**2/7
Let k(z) = 36*z**2 - 11*z**2 - 10*z**2 - 12*z**2. Let d(u) = 13*u**2 + 3 - 3. Let f(i) = -2*d(i) + 9*k(i). Factor f(w).
w**2
Let y(g) = -3*g**3 - 11*g**2 - 2*g + 14. Let v(w) = -3*w**3 - 12*w**2 - 3*w + 15. Let m(r) = -2*v(r) + 3*y(r). Let m(q) = 0. What is q?
-2, 1
Let c = 4637/14 + -331. Let t(g) be the first derivative of 4/7*g**3 - c*g**2 - 36/35*g**5 + 3/14*g**4 - 9/14*g**6 + 0*g - 2. Factor t(y).
-3*y*(y + 1)**2*(3*y - 1)**2/7
Let o(x) be the second derivative of 5*x + 1/48*x**4 + 3/8*x**2 + 0 + 1/6*x**3. Suppose o(c) = 0. Calculate c.
-3, -1
Let a(w) = 2*w**2 - 16*w - 13. Let k be a(9). Find r such that 12*r**k + 111*r**2 + 5*r**4 + 43*r + 6 + 2*r + 58*r**4 + 123*r**3 = 0.
-2, -1, -1/4
Let k(c) be the second derivative of -c**7/14 - c**6/5 + 9*c**5/20 + c**4 - 2*c**3 - 3*c - 1. Determine y so that k(y) = 0.
-2, 0, 1
Find h such that 3/5*h**3 + 0*h + 96/5 - 18/5*h**2 = 0.
-2, 4
Let d be 4/14 + 3/14. Let k = -18323/2 + 9163. Factor d*v**2 + k*v + 1.
(v + 1)*(v + 2)/2
Factor -12*s**2 + 3/2*s**3 + 0 + 18*s.
3*s*(s - 6)*(s - 2)/2
Let z(k) = -k**3 - k**2 + 7. Let q be z(0). Let c be (-1 + q/6)/((-2)/(-6)). Factor 0 - 1/2*l**2 - c*l.
-l*(l + 1)/2
Let l(y) be the second derivative of -1/12*y**5 + 5/18*y**4 - 11/9*y**6 + 5*y + 0*y**3 + 0 + 0*y**2 + 5/6*y**7. What is s in l(s) = 0?
-2/7, 0, 1/3, 1
Let q(d) be the third derivative of d**5/20 + 12*d**4 + 1152*d**3 - 3*d**2 + 2*d. Solve q(a) = 0.
-48
Let m(u) be the first derivative of -u**6/15 + 2*u**5/5 + u**4/6 - 4*u**3/3 - 28*u - 18. Let z(t) be the first derivative of m(t). Factor z(a).
-2*a*(a - 4)*(a - 1)*(a + 1)
Suppose -10*h + 2*h = -12*h + 12. Factor 8/13*x**h + 0 + 4/13*x - 2/13*x**4 - 10/13*x**2.
-2*x*(x - 2)*(x - 1)**2/13
Let j(i) be the second derivative of 0*i**2 + 1/24*i**4 + 1/360*i**6 - 1/60*i**5 + 3*i - 1/2*i**3 + 0. Let k(z) be the second derivative of j(z). Factor k(f).
(f - 1)**2
Let s be 32/18 - (-2)/9. Let f = 413 - 1207/3. Suppose -2/3 - f*k**4 + 16/3*k + 64/3*k**3 - 16*k**s = 0. Calculate k.
1/2
Suppose 3 = -t - 2*m, 3*t + 2*m = m + 6. Solve -55*x**4 + 8*x**2 + 36*x**t - 50*x**4 + 133*x**4 = 0 for x.
-1, -2/7, 0
Let v(n) = n + 4. Let c be v(0). Let z = 52 - 49. Let 3*f**3 - f**5 + 9*f - 2*f**5 - 5*f**3 + 9*f**4 - 3 - c*f**z - 6*f**2 = 0. Calculate f.
-1, 1
What is j in 8/3 + 0*j**2 - 26/9*j + 2/9*j**3 = 0?
-4, 1, 3
Let c(r) = -8*r**4 + 8*r**3 + 80*r**2 + 100*r + 6. Let n(h) = -17*h**4 + 17*h**3 + 160*h**2 + 200*h + 14. Let l(u) = 7*c(u) - 3*n(u). Factor l(p).
-5*p*(p - 5)*(p + 2)**2
Solve 209*k - 344*k + 173*k**2 - 43*k**2 + 5*k**3 = 0 for k.
-27, 0, 1
Let s(v) be the second derivative of -v**6/90 + v**5/30 - v**4/36 + 177*v. Factor s(f).
-f**2*(f - 1)**2/3
Factor 91/5*t**2 + 6/5 - 47/5*t.
(7*t - 2)*(13*t - 3)/5
Let r(a) be the third derivative of a**6/80 - 9*a**5/8 + 675*a**4/16 - 3375*a**3/4 - 21*a**2 - 3. Let r(p) = 0. Calculate p.
15
Suppose o = -u + 2, 0 = u - 0*o - 2*o - 2. Suppose -13 = 2*h - 7*h - 2*d, -u*h - 2 = -d. What is l in 1 + 4*l**2 - l**4 + 2*l**2 - 8*l + 1 + h = 0?
-3, 1
Factor -2738/17 + 2886/17*v + 2/17*v**3 - 150/17*v**2.
2*(v - 37)**2*(v - 1)/17
Let a(l) = 3*l**2 + l + 41. Let s be a(-6). Let b = -857/6 + s. Determine q, given that 0*q**4 - 1/6*q**5 + 1/3*q**3 + 0 - b*q + 0*q**2 = 0.
-1, 0, 1
Suppose 55 = -84*j + 307. Factor 0 - 2*h - 22/3*h**2 + 8/3*h**j.
2*h*(h - 3)*(4*h + 1)/3
Let p be 3/(-21)*-42*(-9)/(-297). Let h be 1*(-2)/4*0. Suppose h - 2/11*i**2 + p*i = 0. What is i?
0, 1
Factor 864 + 158*x**2 - 60*x**2 + 4*x**3 - 110*x**2 + 3*x**4 - x**3 - 102*x**2.
3*(x - 4)**2*(x + 3)*(x + 6)
Factor 1044/5*x + 136242/5 + 2/5*x**2.
2*(x + 261)**2/5
Let z(k) be the third derivative of 0*k + 1/2*k**3 - 1/4*k**5 - 3/40*k**6 - 12*k**2 + 3/8*k**4 + 2/35*k**7 + 0. Factor z(w).
3*(w - 1)**2*(w + 1)*(4*w + 1)
Suppose -676 = 12*a - 136. Let k be ((-3393)/a)/13 + (1 - 6). Factor -6/5 + 2/5*n**2 + k*n.
2*(n - 1)*(n + 3)/5
Let b(h) be the second derivative of -1/30*h**4 - 9/5*h**2 - 2/5*h**3 - 10*h + 0. Factor b(i).
-2*(i + 3)**2/5
Let a(h) be the third derivative of h**8/2016 - 11*h**7/1260 + 7*h**6/120 - 7*h**5/36 + 53*h**4/144 - 5*h**3/12 - 106*h**2. Factor a(r).
(r - 5)*(r - 3)*(r - 1)**3/6
Let j = -26 - -14. Let o be (-3)/j + (-30)/(-8). Factor -8*p**o - 2*p**2 - 2*p + p**4 + 12*p**3 - p**2.
-p*(p - 1)**2*(7*p + 2)
Suppose 8 = 5*k - k. Let n be ((-6)/(-9))/(k/6). Suppose 2*j**4 - n*j**3 + 0*j**3 + 0*j**4 + 3*j**3 - j**2 = 0. Calculate j.
-1, 0, 1/2
Factor 4/3*m**2 - 84 - 24*m.
4*(m - 21)*(m + 3)/3
Suppose 0 = 5*c + 258 - 268. Let p(v) be the second derivative of -1/10*v**6 + 0*v**4 + 0*v**2 + 9/20*v**5 + 3*v - c*v**3 + 0. Determine h, given that p(h) = 0.
-1, 0, 2
Solve -122/23 + 124/23*t - 2/23*t**2 = 0.
1, 61
Suppose -23*v = -c - 19*v + 26, -2*v = -2*c + 16. Find n such that -1/6*n**c - 2/3 + 5/6*n = 0.
1, 4
Suppose -7*z + 56 = 7*z. Let t(d) be the first derivative of 0*d - 45/4*d**z - 28/5*d**5 + 28/3*d**3 - 2 - 2*d**2 + 49/6*d**6. Factor t(c).
c*(c - 1)*(c + 1)*(7*c - 2)**2
Let p(q) = -8*q**2 + 24*q - 48. Let z(t) = -15*t**2 + 47*t - 90. Let u(r) = -7*p(r) + 4*z(r). Factor u(l).
-4*(l - 3)*(l - 2)
Suppose 2 = 6*u - 10. Determine x, given that -28*x**u + 21*x**2 + 12*x**2 - 30*x = 0.
0, 6
Let f(o) = 4*o**5 - 56*o**4 + 124*o**3 - 88*o**2 - 8. Let a(i) = i**5 - 3*i**4 - 1. Let v(y) = 8*a(y) - f(y). Let v(n) = 0. What is n?
-11, 0, 1, 2
Let d(v) be the first derivative of v**6/30 - 2*v**5/15 - 2*v**4/3 + 16*v**3/3 + 13*v**2/2 - 2. Let h(g) be the second derivative of d(g). Factor h(q).
4*(q - 2)**2*(q + 2)
Let s(b) be the second derivative of 9/140*b**5 + 0 + 0*b**2 - 9/28*b**4 + 9/14*b**3 - 12*b - 1/210*b**6. Factor s(z).
-z*(z - 3)**3/7
Let y = -40 + 42. Find g, given that g**y - 9*g**2 + 3*g**2 = 0.
0
Let a(t) be the second derivative of t**5/2 - 65*t**4/12 + 5*t**3/2 + 45*t**2 - 243*t. Determine l so that a(l) = 0.
-1, 3/2, 6
Let d = 1142 + -587. Let b = -598 + 600. Solve 4*v**b - d + 4*v + 555 = 0.
-1, 0
Let n = 1034/3815 + 8/545. Factor 0 - 8/7*i - n*i**2.
-2*i*(i + 4)/7
Factor -6*h + 13*h**2 - 22*h - 12*h**2 + 3*h**2.
4*h*(h - 7)
Let g be (4*(-12)/160)/((-4)/10). Suppose 18 = 3*a + 3*z - 