lculate o.
1, 6
Suppose 1/4*q**2 - 9/2 + 17/4*q = 0. What is q?
-18, 1
Let i(h) = -2*h**2 + 47*h + 53. Let m be i(24). Let u = m + -57/2. Factor -1/2 - u*p**3 - 3/2*p**2 - 3/2*p.
-(p + 1)**3/2
Let z(b) = b**2 - 4*b + 8. Let v be z(6). Let x = 8 - 3. Factor 6*t**2 + 5 - 5 + 12*t**4 - 5*t**3 + v*t**3 + 3*t**x.
3*t**2*(t + 1)**2*(t + 2)
Let u(c) be the third derivative of c**6/420 + 2*c**5/105 + 5*c**4/84 + 2*c**3/21 - 7*c**2 - 1. What is n in u(n) = 0?
-2, -1
Let m(d) = 2*d + 41. Let v be m(-19). Let w be (-99)/(-22)*(-14)/(-6). Factor -w*o**2 - v + 27/2*o.
-3*(o - 1)*(7*o - 2)/2
Let x(c) be the second derivative of -1/15*c**4 + 0*c**2 + 0 - 2/15*c**3 - 4*c. Find b, given that x(b) = 0.
-1, 0
Let b be 0/(110/11 - 8). Let -2/7*t**2 + 2/7*t + b = 0. What is t?
0, 1
Let p(s) be the second derivative of s**5/10 - s**3 - 2*s**2 + 212*s. Factor p(v).
2*(v - 2)*(v + 1)**2
Let x be (-4 - 27/(-6))*-8 + 20. Factor -104*k + 27*k - k**3 + 71 + x*k**2 + 27.
-(k - 7)**2*(k - 2)
Let x(a) be the second derivative of a**5/70 + a**4/42 - 3*a**3/7 - 9*a**2/7 - 6*a + 3. Factor x(o).
2*(o - 3)*(o + 1)*(o + 3)/7
Let j be (3/9)/((-24)/(-360)). Let a(c) be the second derivative of 0*c**2 - 1/6*c**4 + 10*c - 7/50*c**j + 2/15*c**3 + 0. Let a(i) = 0. Calculate i.
-1, 0, 2/7
Let v(s) = 29*s - 112. Let y be v(4). Factor y*c + 1/2*c**3 + 5/2*c**2 + 2.
(c + 1)*(c + 2)**2/2
Let a = 11/837 + 4141/3348. Factor 5/4*y**3 - 10*y + a*y**2 - 15.
5*(y - 3)*(y + 2)**2/4
Let x(o) be the third derivative of o**6/30 - 14*o**5/5 - 133*o**4/6 - 60*o**3 + 3*o**2 + 12*o. Find l such that x(l) = 0.
-2, -1, 45
Let f(z) be the first derivative of 208*z**3/3 - 58*z**2 + 16*z - 21. Factor f(b).
4*(4*b - 1)*(13*b - 4)
Suppose -5*y + 1167 = 4*w, -5*y + w - 2*w = -1158. Suppose -h + y = 2*h. Suppose -f**3 + 10 - 9*f**2 + 7*f**3 - 74*f**4 - 12*f + h*f**4 + 2 = 0. What is f?
-2, 1
Let l(s) be the third derivative of 3*s**8/154 + 4*s**7/55 - s**6/60 - 41*s**5/165 - 25*s**4/132 - 2*s**3/33 - 158*s**2 - 3. Find c, given that l(c) = 0.
-2, -1, -1/6, 1
Let i(j) = -2*j + 72. Let y be i(19). Suppose -2 = 8*c - y. Factor 0*q**2 + 2/5*q + 0*q**c + 2/5*q**5 + 0 - 4/5*q**3.
2*q*(q - 1)**2*(q + 1)**2/5
Let o(k) be the third derivative of -25*k**5/4 - 385*k**4/24 - 5*k**3/3 + 309*k**2. Determine q so that o(q) = 0.
-1, -2/75
Suppose 3*l - 12 = -3*y, -50*y = -53*y + 3*l. Let -1/5*f**y - 64/5 + 16/5*f = 0. Calculate f.
8
Let n(d) be the first derivative of -d**3/4 + 3*d**2/2 + 9*d + 35. Suppose n(v) = 0. What is v?
-2, 6
Let j(n) = -2*n**3 - 17*n**2 - 3 - n**4 + 15*n**2 - 2*n**3. Let k(a) = -4*a**4 - 13*a**3 - 7*a**2 - a - 10. Let u(b) = -14*j(b) + 4*k(b). Factor u(g).
-2*(g - 1)**3*(g + 1)
Suppose 3*w - 4*n + 1 - 5 = 0, w = -3*n + 10. Suppose -w*r**2 + 2*r**3 - 3*r**2 + 10*r**2 + r**3 = 0. Calculate r.
-1, 0
Let k(j) be the second derivative of j**10/3780 + j**9/840 + j**8/560 + j**7/1260 - 5*j**4/4 - 14*j. Let f(s) be the third derivative of k(s). Factor f(h).
2*h**2*(h + 1)**2*(4*h + 1)
Let p(y) be the first derivative of -18 + 3/7*y**4 + 0*y**2 - 8/35*y**5 + 0*y + 0*y**3 - 2/21*y**6. Suppose p(n) = 0. What is n?
-3, 0, 1
Suppose -y - y = -16. Let k(n) = 9*n**3 + 6*n**2 - 3*n + 8 - y. Let z(p) = -17*p**3 - 11*p**2 + 6*p. Let l(t) = -11*k(t) - 6*z(t). Solve l(x) = 0 for x.
-1, 0, 1
Let k be (-134)/(-67) + 1 + 1. Find w such that 1/2*w - w**k + 7/4*w**2 - 5/4*w**3 + 0 = 0.
-2, -1/4, 0, 1
Determine n, given that 2/5*n + 0 - 3/5*n**2 + 1/5*n**3 = 0.
0, 1, 2
Let o(c) be the first derivative of c**4/30 + 2*c**3/5 + c**2 - c + 1. Let a(j) be the first derivative of o(j). Let a(y) = 0. What is y?
-5, -1
Determine t so that 1/7*t**5 - 2/7*t**4 + 0 - 4/7*t**3 + 2/7*t**2 + 3/7*t = 0.
-1, 0, 1, 3
Factor 6*l**2 + 7/3 - 1/3*l**4 + 4/3*l**3 + 20/3*l.
-(l - 7)*(l + 1)**3/3
Let j(q) be the second derivative of -q**5/35 - q**4/7 + 8*q**2/7 + 4*q. Factor j(s).
-4*(s - 1)*(s + 2)**2/7
Let t(h) be the first derivative of -2*h**2 - 4*h - 12 + h**4 + 4/3*h**3. Solve t(g) = 0.
-1, 1
Let x = -1334183/30 - -44477. Let n = x - 9/10. Factor -4*m + 34/3*m**2 - n*m**3 + 0.
-2*m*(m - 3)*(5*m - 2)/3
Let c(t) be the first derivative of 16*t**6/495 + 4*t**5/165 + t**4/132 + t**3 + 10. Let m(z) be the third derivative of c(z). Factor m(y).
2*(8*y + 1)**2/11
Let c(f) = -f + 5. Let t be c(2). Let j(w) be the first derivative of 0*w**t - 7 + w**3 + 1. Factor j(k).
3*k**2
Let z(k) = -4*k**3 - 10*k**2 - k + 8. Let m be z(-2). What is n in 1/2*n + 0 + 0*n**m - 1/2*n**3 = 0?
-1, 0, 1
Let w(i) = -i**2 - 1. Let z(v) be the second derivative of -7*v**4/12 + 4*v**3/3 - 13*v**2/2 + 7*v. Let p(t) = 5*w(t) - z(t). Determine a, given that p(a) = 0.
2
Factor -5/6*t**4 - 15/2*t**3 - 50/3*t - 20*t**2 + 0.
-5*t*(t + 2)**2*(t + 5)/6
Let m be (1 - 4/10) + 11706/(-135). Let o = m + 87. Factor o*n - 2/9*n**2 - 2/3.
-2*(n - 3)*(n - 1)/9
Let g be (-1152)/(-1344)*(12/9 + 0). Factor 2/7 + 8/7*j**2 - g*j.
2*(2*j - 1)**2/7
Let i be (-45)/((-2925)/(-364)) - -6. Factor 0*h + i*h**3 + 0 + 2/5*h**2.
2*h**2*(h + 1)/5
Let w(r) = -r**2 - 11*r + 9. Suppose -4 + 6 = -a. Let k(m) = -m**2 - m + 1. Let j(h) = a*w(h) + 18*k(h). Find f such that j(f) = 0.
0, 1/4
Let m(s) be the first derivative of s**4/42 + s**3/7 - 9*s - 12. Let v(d) be the first derivative of m(d). Factor v(a).
2*a*(a + 3)/7
Let d(f) be the second derivative of 1/32*f**4 + 14*f + 0*f**2 + 0*f**3 + 0. Factor d(g).
3*g**2/8
Let x(k) be the third derivative of 0*k**3 + 0 - 1/1092*k**8 + 1/156*k**4 - 1/260*k**6 + 0*k - 1/273*k**7 - 56*k**2 + 1/390*k**5. Factor x(g).
-2*g*(g + 1)**3*(2*g - 1)/13
Let w be 1 - (-7 + 4 + -1). Let l = w + -3. Let 29*o**3 - 34*o**4 - 24*o**5 + 7*o**3 + 6*o**4 + 4*o**2 - 12*o**l = 0. Calculate o.
-2, 0, 1/3, 1/2
Let c(o) = 12*o**3 + 199*o**2 + 768*o - 7. Let d(n) = 4*n**3 + 66*n**2 + 256*n - 2. Let f(h) = -2*c(h) + 7*d(h). Let f(l) = 0. What is l?
-8, 0
Let s(d) be the first derivative of 7*d**3/27 - 23*d**2/3 - 40*d/9 - 160. What is w in s(w) = 0?
-2/7, 20
Let l(g) be the first derivative of g**4/2 - 8*g**3/3 + 3*g**2 + 10. Let l(m) = 0. Calculate m.
0, 1, 3
Suppose 528*o**3 - 1499*o**2 + 266*o - 4092*o**4 - 3226*o**3 + 16 + 5575*o**2 + 2178*o**5 + 254*o = 0. What is o?
-1, -2/33, 1, 2
Let h(l) = l**3 - 3*l**2 - 4*l + 3. Let w be h(4). Let m be w - (-2)/(-2) - 2. Factor 2/7 - 4/7*v**3 + m*v**2 - 2/7*v**4 + 4/7*v.
-2*(v - 1)*(v + 1)**3/7
Let r(n) be the first derivative of -2*n**3/21 - 19*n**2/7 + 40*n/7 - 34. Factor r(x).
-2*(x - 1)*(x + 20)/7
Factor 52 - 12*x**3 + 144*x + 32*x**2 - 180 + 48*x**2.
-4*(x - 8)*(x + 2)*(3*x - 2)
Let r be (-32)/(-2) + (-750)/125. Determine h, given that -r + 5/2*h**2 + 0*h = 0.
-2, 2
Let o(a) = -7*a**3 + 9*a. Let z(n) = -n**4 - 2*n**3 - 2*n**2 + n. Let b(l) = -o(l) + z(l). Let b(u) = 0. What is u?
-1, 0, 2, 4
Suppose 0 = 87*v + 73*v - 81 - 399. Suppose -2/7*n**4 - 8/7*n + 2/7*n**v + 0 + 8/7*n**2 = 0. What is n?
-2, 0, 1, 2
Let p be (-1 - 16)*162/(-918). Factor -12*k - 3*k**2 - 1/4*k**p - 16.
-(k + 4)**3/4
Let l(o) be the first derivative of o**6/3 - 33*o**5/5 + 193*o**4/4 - 445*o**3/3 + 225*o**2/2 + 250*o - 597. Solve l(f) = 0 for f.
-1/2, 2, 5
Let r(o) = -3*o**3 + 12*o**2 + 9*o. Let v(h) = -8*h**3 + 36*h**2 + 28*h + 1. Suppose -8*c - 23 = 25. Let q(u) = c*v(u) + 17*r(u). Factor q(p).
-3*(p + 1)**2*(p + 2)
Let d(g) be the first derivative of -g**5/300 - 2*g**4/15 - 32*g**3/15 + 15*g**2/2 + 2. Let s(u) be the second derivative of d(u). Solve s(k) = 0 for k.
-8
Let k(l) be the third derivative of 0 - 1/16*l**4 - 11*l**2 + 0*l**3 - 1/80*l**6 - 1/20*l**5 + 0*l. Suppose k(d) = 0. What is d?
-1, 0
Suppose -1635*v**2 - 146 - 90*v - 57*v + 3278*v**2 - 1644*v**2 = 0. Calculate v.
-146, -1
Let q(j) be the first derivative of j**7/672 - 7*j**6/1440 + j**5/240 - 14*j**3/3 + 1. Let s(a) be the third derivative of q(a). Factor s(o).
o*(o - 1)*(5*o - 2)/4
Suppose 5*k + 74 = 144. Suppose k = -h + 17. Suppose -6/7*b**h + 0 + 8/7*b**2 + 2/7*b**5 - 4/7*b**4 + 8/7*b = 0. What is b?
-1, 0, 2
Let g be (-1108)/(-24) - (155/30 - 5). Suppose -29*t + g*t = 0. Let 0 - 3/2*u**2 + t*u - 9/2*u**4 - 9/2*u**3 - 3/2*u**5 = 0. What is u?
-1, 0
Let j(r) = r**2 + 3*r. Let x be j(-4). Determine b so that -26*b**4 - 39 + 36*b**3 + 8*b**5 + x*b**2 - 12*b - 10*b**4 + 39 = 0.
-1/2, 0, 1, 3
Let g(x) = -x*