**5 + 9*g**3 + 3*g**u - 15*g**2 + 9*g**2 = 0.
-2, 0, 1
Let b(o) be the second derivative of -o**7/42 + 7*o**6/30 - 19*o**5/20 + 25*o**4/12 - 8*o**3/3 + 2*o**2 + 65*o. What is c in b(c) = 0?
1, 2
Let x(z) = z**3 + 9*z**2 + 6*z - 54. Let h be x(-7). Determine t so that 2/11 + 4/11*t**3 - 4/11*t + 0*t**h - 2/11*t**4 = 0.
-1, 1
Let i(g) be the second derivative of -g**10/30240 - g**9/7560 - g**8/6720 + 3*g**4/4 + 8*g. Let p(x) be the third derivative of i(x). Let p(a) = 0. What is a?
-1, 0
Let k(b) be the first derivative of -3*b**3/2 - 51*b**2/2 - 289*b/2 + 48. Find u such that k(u) = 0.
-17/3
Let z(q) be the second derivative of -2/15*q**3 + 0 + 0*q**2 + 1/30*q**4 + 9*q. Determine h, given that z(h) = 0.
0, 2
Suppose 3*h + 4*o - 4 = 20, -h + 3*o = -8. Suppose 2*n - h = -0*n. Factor 24*j**5 + 0*j**4 - 4*j**4 + n*j**2 - 2*j - 22*j**5.
2*j*(j - 1)**3*(j + 1)
Let t be ((-12)/(-22))/(-3) + 84/(-22). Let f be 1*t*(-5)/80 + 0. Factor -1/4*j**3 + 0 + 0*j**2 + f*j.
-j*(j - 1)*(j + 1)/4
Suppose -357*j**3 + 15 - 305*j + 352*j**3 + 135 + 160*j**2 = 0. What is j?
1, 30
Let t(k) be the first derivative of k**7/14 - 2*k**6/5 + 3*k**5/4 - k**4/2 - 18*k + 14. Let q(c) be the first derivative of t(c). Determine l so that q(l) = 0.
0, 1, 2
Determine i so that -1128/7*i - 3/7*i**2 - 106032/7 = 0.
-188
Let d(g) be the first derivative of g**5/15 - 4*g**3/9 - 123. Factor d(s).
s**2*(s - 2)*(s + 2)/3
Let y be 58/(-290) + 16/5. Let v(f) be the first derivative of -3 - 2*f**2 + 4/3*f**y - 8*f. Find o such that v(o) = 0.
-1, 2
Let r = -26 + 31. Factor -23*d + 8*d + 19*d**2 - 4*d**2 + 10*d**2 - 45 - r*d**3.
-5*(d - 3)**2*(d + 1)
Let s(u) be the second derivative of 1/4*u**4 + 1/60*u**6 + 1/10*u**5 - 5/2*u**2 - 2*u + 0 + 1/3*u**3. Let p(z) be the first derivative of s(z). Factor p(q).
2*(q + 1)**3
Solve -74*x**2 - 6 + 43*x + 25*x - 30*x**3 - 22*x = 0 for x.
-3, 1/5, 1/3
Factor -6*f**4 + 16*f**3 + 4/3*f - 26/3*f**2 + 0.
-2*f*(f - 2)*(3*f - 1)**2/3
Let f(k) be the first derivative of -1/3*k**4 - k + 2/3*k**3 + 2/15*k**6 + 8 + 0*k**2 - 1/5*k**5. Let n(a) be the first derivative of f(a). Factor n(j).
4*j*(j - 1)**2*(j + 1)
Solve -3/5*y**3 - 3*y**2 + 0 - 18/5*y = 0 for y.
-3, -2, 0
Let t be 4/15*(-216)/(-4608). Let z(s) be the third derivative of -1/60*s**5 + 0 + 0*s**3 - 1/420*s**7 + 0*s**4 + t*s**6 + 0*s + s**2. Factor z(r).
-r**2*(r - 2)*(r - 1)/2
Let f(b) be the second derivative of -b**5/4 - 5*b**4/6 + 5*b**3/2 + 43*b. Solve f(l) = 0.
-3, 0, 1
Let w(m) = m**3 + 3*m**2 - m - 4. Let t be w(-2). Solve 2*a**3 + 5*a**2 + 0*a**2 + 2*a**4 + 2*a**3 - 3*a**t = 0.
-1, 0
Factor -6*d + 75*d - 41*d**2 - 28*d**2 + 18*d**2 - 18.
-3*(d - 1)*(17*d - 6)
Solve -162/19*x**5 + 150/19*x**3 - 8/19*x + 0 + 252/19*x**4 - 8/19*x**2 = 0 for x.
-1/3, 0, 2/9, 2
Let m = -40616/9 + 4513. Find w such that 4/9*w**4 + 2/3*w**3 + m*w + 1/9*w**5 + 4/9*w**2 + 0 = 0.
-1, 0
Let u = 7 - 7. Suppose u = -4*j - 3*r + 21, -9 = -11*j + 7*j + r. What is m in 1/2*m**4 - j*m**3 + 0 + 9/2*m**2 + 0*m = 0?
0, 3
Let c = 3661 - 918910/251. Let v = 256/1255 - c. Find n such that v*n**3 + 0 + 3/5*n**2 + 0*n = 0.
-3, 0
Suppose -16*b + 37*b - 105 = 0. Let c(n) be the third derivative of 0*n**4 + 0 + 0*n - n**2 + 0*n**b + 0*n**3 - 1/210*n**6 - 1/735*n**7. Factor c(u).
-2*u**3*(u + 2)/7
Factor 0 - 4/11*d**4 + 24/11*d**3 - 28/11*d**2 + 10/11*d - 2/11*d**5.
-2*d*(d - 1)**3*(d + 5)/11
Let c(u) = -33*u**2 + 140*u - 226. Let d(m) = 15*m**2 - 69*m + 114. Let x(q) = 6*c(q) + 13*d(q). Factor x(n).
-3*(n - 2)*(n + 21)
Let y be (-32)/(-5) + (-9180)/2700. Factor -4/7 - 6/7*g + 0*g**2 + 2/7*g**y.
2*(g - 2)*(g + 1)**2/7
Let v(o) = 3*o**3 + 60*o**2 - 41*o + 13. Let m(p) = p**3 + 30*p**2 - 22*p + 6. Let y(w) = -13*m(w) + 6*v(w). Let y(g) = 0. What is g?
0, 2, 4
Suppose -5*i - 4*x = x - 325, 20 = 4*x. Suppose 20 - 4*h**2 - 21*h**2 + 20*h**5 - i*h + 75*h**4 - 53*h**2 + 40*h**3 - 17*h**2 = 0. Calculate h.
-2, -1, 1/4, 1
Let g(w) = -4*w**2 - w. Suppose 3*m - 269 = i, -2*i + 3*i = -2. Let l(f) = 86*f**2 + 2*f - 3*f - m*f**2. Let r(s) = 2*g(s) - 3*l(s). Factor r(h).
h*(h + 1)
Let p(b) be the second derivative of -b**8/168 + b**6/30 - b**4/12 + 9*b**2/2 + 13*b. Let n(u) be the first derivative of p(u). Factor n(c).
-2*c*(c - 1)**2*(c + 1)**2
Let -5*p**5 + 32*p**3 + 25 + 39 - 64*p - 21*p**2 + p**5 - 11*p**2 - 10*p**4 + 14*p**4 = 0. Calculate p.
-2, 1, 2
Factor 14*z - 3*z**2 + z**2 + 10*z - 23*z + 3*z**2.
z*(z + 1)
Let i(z) be the first derivative of -5 + 12*z - 21/2*z**2 + 3/4*z**4 + 2*z**3. Let i(c) = 0. What is c?
-4, 1
Let b(u) be the third derivative of -u**7/840 - 17*u**6/480 - 2*u**5/5 - 13*u**4/6 - 16*u**3/3 - u**2 + 75*u. Determine r, given that b(r) = 0.
-8, -4, -1
Factor 1/4*u**5 - 3/4*u**4 + 1/2*u**3 + 0 + 0*u**2 + 0*u.
u**3*(u - 2)*(u - 1)/4
Let 28*j + 6*j + 48*j**4 - 29*j + 0*j + 6 + 34*j - 120*j**3 + 27*j**2 = 0. What is j?
-1/4, 1, 2
Let c = -538 - -545. Let v(g) be the second derivative of 2/3*g**3 + 2*g**2 - 1/5*g**5 + 0 + c*g - 1/3*g**4. Factor v(x).
-4*(x - 1)*(x + 1)**2
Let j(h) be the first derivative of 3*h**5/20 + 7*h**4/4 + 15*h**3/2 + 27*h**2/2 + 5*h + 10. Let u(w) be the first derivative of j(w). Solve u(a) = 0.
-3, -1
Factor 1440 + 1328/5*g**2 + 1344*g - 112/5*g**3 + 2/5*g**4.
2*(g - 30)**2*(g + 2)**2/5
Let f(c) be the first derivative of -10*c**6/3 + 8*c**5/5 + 15*c**4 - 64*c**3/3 + 8*c**2 + 166. Let f(q) = 0. Calculate q.
-2, 0, 2/5, 1
Suppose -153*u + 1/6*u**4 - 48*u**2 - 13/3*u**3 - 315/2 = 0. What is u?
-3, 35
Let f(o) = -5*o - 29. Let s be f(-7). Factor -10*l**4 - 5*l**4 + 21*l + 9 + 0*l**4 + s*l**2 + 0*l**4 - 18*l**3 - 3*l**5.
-3*(l - 1)*(l + 1)**3*(l + 3)
Let o(x) = 6*x + 8 - 4*x**2 + 17*x**3 - 3 - 9*x**3. Let r(s) = 7*s**3 - 5*s**2 + 6*s + 4. Let n(y) = 4*o(y) - 5*r(y). Determine w, given that n(w) = 0.
0, 1, 2
Let m = 6391/48 - 2125/16. Factor -8*o - 11/3*o**2 - m*o**3 + 12.
-(o - 1)*(o + 6)**2/3
Let j(f) be the third derivative of -f**6/30 - 4*f**5/5 - 11*f**4/6 - 26*f**2. Solve j(r) = 0.
-11, -1, 0
Let w = 33/298 - -1623/1490. Factor 0 + 3/5*l**3 + 3/5*l - w*l**2.
3*l*(l - 1)**2/5
Let o(a) be the second derivative of 1/72*a**4 + 0 + 13*a - 11/36*a**3 + 5/6*a**2. Factor o(h).
(h - 10)*(h - 1)/6
Suppose 16*j = -52*j - j. What is k in j + k**2 - 10/3*k**3 - 7*k**4 + 2/3*k - 10/3*k**5 = 0?
-1, -1/2, 0, 2/5
Let b(h) be the third derivative of h**5/40 + h**4/8 + h**3/4 - 46*h**2. Let b(r) = 0. Calculate r.
-1
Let i(b) be the second derivative of b**5/70 - b**4/42 - 2*b**3/21 - 27*b. Factor i(p).
2*p*(p - 2)*(p + 1)/7
Let b be 30/8 + 15/(-20). Suppose 4*s - 26 = -2*g, 3*s - 2*s - b*g = -4. Find y such that 8*y**2 + 5*y - 6*y**3 + 3*y + 12*y**s - 14*y**5 - 8*y**4 = 0.
-2, -1, 0, 1
Let b be (15/(-3))/(-5)*5. Suppose 0 = -5*z + c + 10, 0 = -4*z + 8*z - b*c + 13. Factor -2/7 - 2/7*o**z + 2/7*o**2 + 2/7*o.
-2*(o - 1)**2*(o + 1)/7
Let y be 663/(-102) + (-1 - -8). Let g(z) = z**2 + 9*z - 7. Let h be g(-10). Factor -y*u**2 + 1/2*u**h + 1/2 - 1/2*u.
(u - 1)**2*(u + 1)/2
Let y(i) = -i**2 - 6*i + 5. Let c be y(0). Let l(w) be the first derivative of 0*w + 2/3*w**6 - 1 + 11/5*w**c + 9/4*w**4 - 1/2*w**2 + 1/3*w**3. Factor l(x).
x*(x + 1)**3*(4*x - 1)
Let s(l) be the second derivative of -l**6/15 - 3*l**5/5 - 2*l**4/3 + 2*l**3 + 5*l**2 + 68*l. Solve s(h) = 0.
-5, -1, 1
Let z(p) = -15*p**2 - 3199*p - 171724. Let o(s) = 3*s**2 + 640*s + 34345. Let j(g) = 11*o(g) + 2*z(g). Factor j(v).
3*(v + 107)**2
Suppose -4*l + 16 = 4*r, 6*r - 7 = 2*r + 5*l. Find u such that u**3 + 4*u**4 - 22*u**2 - 6 + 12*u + 16*u - 50*u - 3*u**r = 0.
-1, -1/2, 3
Let d(b) = -b**3 + 6*b**2 - 4*b - 2. Let r be d(5). Let -4/3*f**4 - 4/3*f**r + 8/3*f**2 - 4/3 + 2/3*f + 2/3*f**5 = 0. Calculate f.
-1, 1, 2
Let v be (-50)/(-75) - (3*1 + 844/(-84)). Factor -66/7*d**2 + 12/7 + v*d.
-6*(d - 1)*(11*d + 2)/7
Suppose -2*o = -o + 4*t - 18, 5*o + t - 14 = 0. Suppose -5*h + 3 = 4*u - 5, -o*u - 3*h = -4. Find f such that 7 - 6*f**3 + 2*f**4 - 7 + 4*f**u = 0.
0, 1, 2
Let k(a) = 4*a**5 - 67*a**3 + 67*a**2 + 192*a - 253. Let r(n) = 4*n**5 - 66*n**3 + 66*n**2 + 192*n - 254. Let f(m) = 2*k(m) - 3*r(m). Find x such that f(x) = 0.
-4, -2, 2
Let a be -1 + 0 - (-1)/(7/21). Suppose -f**a - 3*f**3 + 3*f**3 - 3*f**3 - 18*f + 16*f**2 = 0. Calculate f.
0, 2, 3
Let l(d) be the first derivativ