, 0, 1
Let w(a) be the first derivative of 0*a**4 + 1/540*a**6 + 0*a + 0*a**5 + 2/3*a**3 + 0*a**2 + 4. Let o(l) be the third derivative of w(l). What is d in o(d) = 0?
0
Let z(p) = 18*p**3 + 88*p**2 + 186*p - 434. Let x(v) = -4*v**3 - 18*v**2 - 38*v + 87. Let l(t) = 14*x(t) + 3*z(t). Solve l(s) = 0.
-3, 2, 7
Let n(f) = 1 + 7*f**2 - 1 + 155*f - 158*f - 5. Let u(k) = -6*k**2 + 2*k + 4. Let c(m) = 4*n(m) + 5*u(m). Factor c(j).
-2*j*(j + 1)
Suppose -13 = -6*n - 1. Let p be n/(-8) + (-145)/(-100). Let 2/5*l**4 + 4/5*l**2 + 0 + 0*l - p*l**3 = 0. Calculate l.
0, 1, 2
Find y, given that 3 - 25*y**2 + 12*y + 48*y**2 - 15*y**2 + 1 = 0.
-1, -1/2
Let n = 6 + -4. Let r be (0/(n - 0))/1. Factor -1/3*o**2 - 1/3*o + r.
-o*(o + 1)/3
Let o be 2769/7384*4/6. Solve -1/4*q - 1/4*q**2 + o*q**4 + 1/4*q**3 + 0 = 0 for q.
-1, 0, 1
Let 108 - 5*y**2 + 12*y**2 - 12*y**3 - 16*y**2 + 13*y**3 = 0. What is y?
-3, 6
Let r(b) be the second derivative of -7*b + 2/57*b**3 + 0 + 0*b**2 + 1/114*b**4. Suppose r(h) = 0. Calculate h.
-2, 0
Let b(c) be the first derivative of 55/3*c**3 - 25/6*c**6 + 17*c**5 + 13 - 105/4*c**4 + 0*c - 5*c**2. Factor b(w).
-5*w*(w - 1)**3*(5*w - 2)
Find h, given that 0*h**3 - 2/3*h**2 + 0*h + 0 + 2/3*h**4 = 0.
-1, 0, 1
Let p(h) be the third derivative of -h**9/20160 - h**8/1680 + h**7/1680 + h**6/60 + 7*h**5/60 + 33*h**2. Let v(t) be the third derivative of p(t). Factor v(m).
-3*(m - 1)*(m + 1)*(m + 4)
Let j(m) be the third derivative of m**6/180 + m**5/90 + 2*m**2 - 50. Let j(o) = 0. Calculate o.
-1, 0
Let j(z) be the first derivative of -7*z**4/4 - 4*z**3/3 + 1. Let u(f) = -20*f**3 - 12*f**2. Let q = -3 - -8. Let d(v) = q*u(v) - 14*j(v). Factor d(l).
-2*l**2*(l + 2)
Suppose -3*y - k + 18 = 2*y, -5*k + 12 = -y. Factor -16*h**y - 25*h**4 + 0*h**5 - h**2 - 19*h**3 - 14*h**2 - 5*h**5.
-5*h**2*(h + 1)**2*(h + 3)
Let b(k) be the third derivative of k**6/280 - 13*k**5/140 + 2*k**4/7 + 96*k**3/7 + 4*k**2 - 2. Factor b(n).
3*(n - 8)**2*(n + 3)/7
Let c(o) = -o**2 - o - 2. Let w(l) = l**3 + 7*l**2 - 4*l - 16. Let b(x) = 3*c(x) - w(x). Factor b(h).
-(h - 1)*(h + 1)*(h + 10)
Let c(z) be the third derivative of -35*z**2 - 1/112*z**8 + 0*z + 0*z**3 + 0 + 1/70*z**5 - 1/245*z**7 + 0*z**4 + 1/40*z**6. What is l in c(l) = 0?
-1, -2/7, 0, 1
Let p(o) = -26*o**2 + 26*o**2 - 6 + 4*o + 27*o**2. Let u be p(-3). Solve -10*c + 227 - u + 4*c**2 + 4*c**2 = 0.
1/4, 1
Let k(u) be the second derivative of 14*u + 0*u**4 + 0*u**6 + 0 + 0*u**2 - 1/190*u**5 + 1/399*u**7 + 0*u**3. Let k(a) = 0. Calculate a.
-1, 0, 1
Let b(c) be the third derivative of c**6/600 - 9*c**5/100 + 17*c**4/40 - 5*c**3/6 + 148*c**2. Let b(d) = 0. Calculate d.
1, 25
Factor 3/8 + 1/8*x**2 + 1/2*x.
(x + 1)*(x + 3)/8
Let v(d) = 9*d**3 + 17*d**2 + 4*d - 18. Let u(x) = -200*x**3 - 375*x**2 - 90*x + 395. Let f(s) = -2*u(s) - 45*v(s). Factor f(p).
-5*(p - 1)*(p + 2)**2
Solve -8/9 - 7/9*l**3 - 7/9*l**2 + 2*l + 1/9*l**5 + 1/3*l**4 = 0 for l.
-4, -2, 1
Let k be 2/(-18) + 1596/756. Factor -2/5*s**3 + 2/5*s - 4/5*s**k + 4/5.
-2*(s - 1)*(s + 1)*(s + 2)/5
Let z(a) be the third derivative of 0*a - 1/2352*a**8 - 2/735*a**7 + 0*a**4 + 1/70*a**5 - 6*a**2 - 6 - 1/840*a**6 + 0*a**3. Suppose z(x) = 0. What is x?
-3, -2, 0, 1
Let y(q) be the first derivative of 5*q**5/6 + 5*q**4 - 49*q**3/2 - 101*q**2/3 - 14*q + 64. Find j such that y(j) = 0.
-7, -2/5, 3
Determine v, given that -19/8*v + 21/8*v**2 + 3/4 + 1/8*v**4 - 9/8*v**3 = 0.
1, 6
Let x(w) = -12*w**2 + 10*w + 6. Let g(q) = -155*q**2 + 130*q + 80. Let y(k) = 3*g(k) - 40*x(k). Factor y(a).
5*a*(3*a - 2)
Let d(z) = 5*z**3 + 2 - 4*z**2 + 3*z - 14*z**3 + 10*z**3. Let q be d(3). Solve -3 - 1 - 3*m**2 - 13*m - q + 4*m = 0.
-2, -1
Let m(x) = -x**2 - 9*x + 2. Let o be m(-11). Let u be ((-12)/(-10))/((-8)/o). Factor 2*t**3 - 2*t - 4*t**5 + u*t**5 + t.
-t*(t - 1)**2*(t + 1)**2
Let m be (-261)/36*37/(-2). Let g = m - 134. Let g + 1/8*r**2 - 1/4*r = 0. What is r?
1
Let 194/11*i + 48/11 + 248/11*i**2 + 4/11*i**4 + 106/11*i**3 = 0. What is i?
-24, -1, -1/2
Let z(o) be the second derivative of -5*o - 9*o**2 + 2*o**3 - 1/6*o**4 + 0. Solve z(w) = 0.
3
Let x(d) be the second derivative of d**7/273 + d**6/195 - 2*d**5/65 - 2*d**4/39 - 24*d. Solve x(z) = 0.
-2, -1, 0, 2
Let m = -1 - 3. Let z(t) = 9*t**4 - t**3 - 7*t**2 - 4*t + 3. Let s(p) = 8*p**4 - 8*p**2 - 4*p + 4. Let c(d) = m*z(d) + 5*s(d). Suppose c(g) = 0. What is g?
-2, -1, 1
Let f be 4/2 - 3*(-10)/(-15). Let o be (f - (-2)/(-11)) + (-120)/(-55). Factor -1/6*i**o + 0*i + 0 + 1/6*i**4 + 0*i**3.
i**2*(i - 1)*(i + 1)/6
Determine g so that -7/3*g - 3*g**2 - 1/3*g**4 - 2/3 - 5/3*g**3 = 0.
-2, -1
Let u(c) be the second derivative of 1/8*c**4 + 0 - 3/4*c**2 + 3/40*c**5 - 1/4*c**3 - 8*c. Determine h, given that u(h) = 0.
-1, 1
Suppose 2*h - 4*h = -6. Let j = 4 - 1. Suppose 19*c**2 + 13*c**j - h*c - 3 + 12*c**4 - 46*c**3 + 8*c**2 = 0. Calculate c.
-1/4, 1
Let c be 104/(-11700)*(-4 - 1)*9. Factor 0 - 1/5*z - 1/5*z**3 + c*z**2.
-z*(z - 1)**2/5
Let r(w) be the third derivative of -w**6/60 - 2*w**5/15 + 5*w**4 + 96*w**3 + 16*w**2 - 6. Factor r(f).
-2*(f - 8)*(f + 6)**2
Let r(b) be the second derivative of 3/34*b**4 + 3 + 11*b + 7/51*b**3 - 2/17*b**2. Factor r(m).
2*(m + 1)*(9*m - 2)/17
Factor 2/9*r - 2/9*r**3 - 20/9 + 20/9*r**2.
-2*(r - 10)*(r - 1)*(r + 1)/9
Let c(r) = 5*r**4 - 15*r**3 + 7*r**2 + 15*r - 10. Let y(j) = -j**4 + j**2 - 1. Let o(d) = c(d) + 2*y(d). Factor o(v).
3*(v - 4)*(v - 1)**2*(v + 1)
Let g(w) = w**2 + 2. Let u(z) = 25*z**2 + 50*z + 165. Suppose -2*r - 135 = -133. Let j(v) = r*u(v) + 20*g(v). Find a such that j(a) = 0.
-5
Suppose 28*z - 127 = -15. Let r(y) be the second derivative of -4*y + 0 + 1/4*y**3 - 1/8*y**2 - 5/48*y**z. Factor r(q).
-(q - 1)*(5*q - 1)/4
Let n(m) = -m**3 - 16*m**2 - 16*m - 13. Let g be n(-15). Suppose -6 = g*i - 5*i. Suppose -u**2 - u**4 - 3*u**3 + 3 - u**i + 3*u + u**2 - 1 = 0. Calculate u.
-2, -1, 1
Let s(h) be the second derivative of -h**5/40 + 7*h**4/16 + 2*h**3 + 12*h**2 - 28*h. Let l(g) be the first derivative of s(g). Factor l(t).
-3*(t - 8)*(t + 1)/2
Factor 0 - 2/5*v**2 + 2*v + 2/5*v**4 - 2*v**3.
2*v*(v - 5)*(v - 1)*(v + 1)/5
Let p(g) be the third derivative of g**8/2016 - g**7/1260 - 7*g**6/360 - 13*g**5/180 - 19*g**4/144 - 5*g**3/36 - 2*g**2 + 201*g. Factor p(k).
(k - 5)*(k + 1)**4/6
Let i = -478 - -478. Let c(x) be the second derivative of 0 + i*x**3 - 1/3*x**4 + 8*x**2 + 2*x. Factor c(t).
-4*(t - 2)*(t + 2)
Let w(n) be the third derivative of 14*n**2 + 1/30*n**6 + 1/336*n**8 + 0*n - 5/24*n**4 + 0 + 1/3*n**3 + 1/30*n**5 - 2/105*n**7. Factor w(v).
(v - 2)*(v - 1)**3*(v + 1)
Let x(p) = 9*p**5 + 12*p**4 + 18*p**3 - 6*p - 9. Let b(y) = 0*y**4 - 5*y**4 + y**3 + y**2 - 1 + 4*y**4. Let u(i) = -9*b(i) + x(i). Let u(g) = 0. What is g?
-1, 0, 2/3
Suppose 96*g = 69 + 123. Let z(o) be the first derivative of -3*o**g - 13 + 2/3*o**3 + 4*o. Factor z(m).
2*(m - 2)*(m - 1)
Let i(m) be the first derivative of m**6/3 + 32*m**5/5 - 39*m**4/2 - 100*m**3/3 + 76*m**2 + 144*m - 100. Solve i(b) = 0 for b.
-18, -1, 2
Let g(j) be the second derivative of -j**8/1344 + j**7/224 - j**5/24 + j**3/2 - 10*j. Let c(s) be the second derivative of g(s). Factor c(f).
-5*f*(f - 2)**2*(f + 1)/4
Factor -5/3*q**2 + 22/3*q - 8/3.
-(q - 4)*(5*q - 2)/3
Let t(m) = -4*m**3 + 12*m**2 - 18*m - 2. Let f(o) = 4*o - 25. Let y be f(5). Let g(w) = -4*w**3 + 12*w**2 - 17*w - 1. Let j(b) = y*t(b) + 6*g(b). Factor j(v).
-4*(v - 1)**3
Find l, given that 1/4*l**2 - 55/4 - 27/2*l = 0.
-1, 55
Let g(m) = 23*m**5 - 85*m**4 + 209*m**3 + 1211*m**2 + 1406*m + 494. Let l(p) = -3*p**5 + p**3 - p**2 - p + 1. Let f(v) = g(v) + 6*l(v). Factor f(y).
5*(y - 10)**2*(y + 1)**3
Let a be ((-9)/1)/((-312)/130). Suppose -a*k**2 + 3/4*k**3 + 15/4 - 3/4*k = 0. What is k?
-1, 1, 5
Let w be (-262)/(-35) + -6 - (-12)/(-42). Factor -w*v + 4/5*v**2 + 0.
2*v*(2*v - 3)/5
Let r = -2633/6 - -439. Let j(c) be the second derivative of 0 + 1/4*c**2 - r*c**3 + 1/24*c**4 - 6*c. Let j(y) = 0. What is y?
1
Let p(y) be the first derivative of 6 + 1/8*y**4 + 3/4*y**2 + 2/3*y**3 + 0*y. Solve p(a) = 0 for a.
-3, -1, 0
Let b be (-94)/8 + (-5)/20. Let q be (b/(-108))/((-2)/(-4)). Factor 10/9*r**4 + 2/9 + 20/9*r**2 - q*r**5 - 10/9*r - 20/9*r**3.
-2*(r - 1)**5/9
Let g(x) be the first derivative of -3*x