*3/3 + f - 16. What is g in t(g) = 0?
-1, 0, 1, 2
Let w(q) be the third derivative of q**6/24 - 13*q**5/12 - 5*q**4/24 + 65*q**3/6 + 7*q**2 - 17*q. Solve w(b) = 0.
-1, 1, 13
Let d(y) = -3*y**4 + 12*y**3 + 3*y**2 + 3*y + 3. Let j(b) = -b**5 - 8*b**4 + 35*b**3 + 10*b**2 + 8*b + 8. Let z(x) = -8*d(x) + 3*j(x). Factor z(p).
-3*p**2*(p - 2)*(p + 1)**2
Let j(n) = 20*n**2 - 60*n + 40. Let l(m) = 11*m**2 - 30*m + 19. Let p(x) = 3*j(x) - 5*l(x). Factor p(t).
5*(t - 5)*(t - 1)
Let q = 373/42 - 87/14. Suppose 0 - 8/3*f**3 + 0*f + q*f**2 + 2/3*f**4 = 0. What is f?
0, 2
Suppose 49*d + 745 = 941. Find h such that 0 + 4/15*h**3 + 2/15*h**2 + 0*h + 2/15*h**d = 0.
-1, 0
Let k(r) be the second derivative of 4*r**5/5 + r**4/3 - 8*r**3/3 - 2*r**2 - 847*r. Determine f so that k(f) = 0.
-1, -1/4, 1
Let h(i) = 154*i**2 - 116*i - 5. Let p(q) = 31*q**2 - 24*q - 1. Let r(s) = 4*h(s) - 22*p(s). Let r(a) = 0. What is a?
-1/33, 1
Suppose -6*n**4 - 181/2*n**3 + 13 - 11/2*n - 163*n**2 = 0. Calculate n.
-13, -2, -1/3, 1/4
Let s(n) be the third derivative of -1/240*n**5 + 0*n**3 - 10*n**2 + 1/96*n**4 + 0 + 0*n. Find j, given that s(j) = 0.
0, 1
Let q(h) = -2*h**2 + 6*h - 4. Let x(g) = g**2 - 5*g + 3. Let m(c) = c + 33. Let o be m(-29). Suppose -4 - 8 = -4*u. Let d(z) = o*x(z) + u*q(z). Factor d(a).
-2*a*(a + 1)
Let x = 66035/3 - 22011. Let -3/2*j**4 + 2*j - 5/3*j**3 - 2/3 + x*j**5 + 19/6*j**2 = 0. What is j?
-1, 1/4, 2
Let f(m) be the second derivative of m**5/10 - m**4/6 - 2*m**3 + 116*m. Factor f(u).
2*u*(u - 3)*(u + 2)
Let g(o) be the third derivative of -o**8/20160 + o**7/3780 - o**6/2160 - 13*o**4/12 + 28*o**2. Let i(h) be the second derivative of g(h). Factor i(f).
-f*(f - 1)**2/3
Let l(z) = 48*z**5 - 220*z**4 + 282*z**3 - 90*z**2 + 6*z. Let f(x) = -x**5 - x**2 - x. Let d(o) = -4*f(o) + 2*l(o). Factor d(p).
4*p*(p - 2)**2*(5*p - 1)**2
Let 2/5*q**3 - 34*q**2 + 3698/5 + 3526/5*q = 0. What is q?
-1, 43
Determine f so that 0 + 0*f - 15/2*f**5 + 0*f**2 + 9/2*f**3 - 3*f**4 = 0.
-1, 0, 3/5
Let m(g) = -g**2 + 7*g - 74. Let f(v) = 5*v - 50. Let a(s) = 8*f(s) - 5*m(s). Suppose a(d) = 0. Calculate d.
-3, 2
Let c be (-3)/(12/(-7)) + 1/4. Let j(l) be the first derivative of -2/15*l**3 + 6/5*l - 2/5*l**c - 2. Factor j(m).
-2*(m - 1)*(m + 3)/5
Let b(z) be the third derivative of z**7/1365 + z**6/130 + 2*z**5/195 - z**4/26 - 5*z**3/39 + 305*z**2. Suppose b(h) = 0. Calculate h.
-5, -1, 1
Factor 2/5*d**3 + 2/5*d**2 - 4*d + 16/5.
2*(d - 2)*(d - 1)*(d + 4)/5
Factor -46*d**3 - 10*d**3 + 5*d**5 - 34*d**3 + 405*d.
5*d*(d - 3)**2*(d + 3)**2
Factor 0 + 3*f**2 + 1/2*f**3 - 7/2*f.
f*(f - 1)*(f + 7)/2
Let n(k) be the third derivative of 0 - 1/5*k**3 + 0*k + 3/100*k**5 + 1/40*k**4 - 1/350*k**7 - 1/200*k**6 + 34*k**2. Determine b so that n(b) = 0.
-2, -1, 1
Let c = -279/140 + 15/7. Let b(g) be the second derivative of 3*g + 0 - 2*g**3 + c*g**5 + 6*g**2 - 1/4*g**4. Determine d so that b(d) = 0.
-2, 1, 2
Let b be 1716/(-364)*(0 - -1) - -7. Factor 0*s + 8/7*s**2 - 20/7*s**3 + 0 - 4/7*s**5 + b*s**4.
-4*s**2*(s - 2)*(s - 1)**2/7
Suppose 75 - 40 = 5*u. Determine k so that -u*k + k**4 + 8*k**3 - k**3 - k**2 - k**4 + k**4 = 0.
-7, -1, 0, 1
Let w(v) be the second derivative of -v**6/120 + v**5/8 - 3*v**4/4 + 9*v**3/4 - 27*v**2/8 + 8*v + 2. Factor w(i).
-(i - 3)**3*(i - 1)/4
Suppose 5*m - 62 = -12. Find t, given that -36*t**4 + 257*t**4 + 395*t**2 + m - 105*t - 615*t**3 - 17*t**4 + 111*t**4 = 0.
2/7, 1/3, 1
Let k(l) = 2*l**2 - 8*l - 116. Let j be k(10). Let w(t) be the first derivative of 2/9*t + 9 - 2/27*t**3 + 2/9*t**j - 4/9*t**2. Factor w(m).
2*(m - 1)*(m + 1)*(4*m - 1)/9
Determine i, given that -25/2*i + 6 - 7*i**4 + 1/2*i**5 + i**2 + 12*i**3 = 0.
-1, 1, 12
Let a(g) be the third derivative of -g**8/56 - g**7/40 - g**6/120 - 3*g**3 - 13*g**2. Let s(d) be the first derivative of a(d). Let s(n) = 0. Calculate n.
-1/2, -1/5, 0
Factor -4*q**2 + 35*q + 20 + 61*q - 35*q**3 - q**2 + 44*q.
-5*(q - 2)*(q + 2)*(7*q + 1)
Let z be (-4)/36*2 - 8932/(-18). Let k be (4 - z/120)/(1/(-3)). Factor -2/5*p**2 + 2/5*p + k - 2/5*p**3.
-2*(p - 1)*(p + 1)**2/5
Let s(d) = d**4 - d**3 - 2*d**2 - 3. Let z(v) = v**3 + v**2 + 1. Let p(y) = 3*y - 27. Let f be p(5). Let n(x) = f*z(x) - 4*s(x). Find j such that n(j) = 0.
-1, 0
Factor 0 - 7/3*j - 1/3*j**2.
-j*(j + 7)/3
Suppose 127*q + 0 - 3 = -3. Factor 1/4*w**4 + 0 + q*w + 1/4*w**2 + 1/2*w**3.
w**2*(w + 1)**2/4
Let x(q) be the second derivative of q**4/78 + 2*q**3/39 + q**2/13 + 159*q. Factor x(r).
2*(r + 1)**2/13
Factor -14 - 113*y - 105*y**2 + 5*y**3 - 81 + 308*y.
5*(y - 19)*(y - 1)**2
Let o = -23386 + 93545/4. Factor o*y**2 + 13/2*y + 169/4.
(y + 13)**2/4
Let n be ((-20)/(-14) - 0)/(27/189). Suppose -3*j - 5 - n = 4*c, 2*c + 5*j + 25 = 0. Factor c + 5/2*l**3 + 4*l**2 - 2*l.
l*(l + 2)*(5*l - 2)/2
Suppose -220/9*z - 6050/9 - 2/9*z**2 = 0. What is z?
-55
Suppose -5*y + y = -4*f, 0 = -2*y - 5*f. Let z be (2 + 2)/(2 + y). Factor -3*q**z - 6*q - 3*q + 7*q - q**3.
-q*(q + 1)*(q + 2)
Let y(x) = -9*x**2 + 18*x + 24. Let r(n) = -11*n**2 + 18*n + 24. Let v(l) = 6*r(l) - 7*y(l). Factor v(o).
-3*(o + 2)*(o + 4)
Let q(c) be the second derivative of -c**7/42 - c**6/30 + 7*c**5/20 + 13*c**4/12 + c**3 - 4*c - 6. Solve q(v) = 0.
-2, -1, 0, 3
Factor -6/5*x**2 - 54/5*x - 84/5.
-6*(x + 2)*(x + 7)/5
Determine y, given that 13/5*y**2 + 27/5*y + 2/5 = 0.
-2, -1/13
Let s(v) be the first derivative of -v**6/360 + v**4/6 - 35*v**3/3 - 16. Let z(q) be the third derivative of s(q). What is o in z(o) = 0?
-2, 2
Suppose -j + 58 - 56 = 0. Factor -9*r - 20 - 10*r - 44*r**2 - r**j - 36*r + 5*r**4 - 5*r**3.
5*(r - 4)*(r + 1)**3
Let i(r) = -r**3 + 9*r**2 - 2*r + 12. Let h(p) = p**3 - 11*p**2 + 3*p - 12. Let c(g) = 6*h(g) + 7*i(g). Factor c(y).
-(y - 2)*(y + 2)*(y + 3)
Let r = 41557/273 + -1969/13. Solve -2/21*s**2 + r*s + 0 = 0 for s.
0, 8
Let m(g) be the first derivative of -g**6/90 - g**5/30 + g**4/3 - g**3/3 - 8. Let o(w) be the third derivative of m(w). Solve o(n) = 0.
-2, 1
Let g(s) = -4*s**3 + 34*s**2 - 126*s - 160. Let a(v) = -5*v**3 + 34*v**2 - 126*v - 159. Let c(r) = -2*a(r) + 3*g(r). Factor c(x).
-2*(x - 9)**2*(x + 1)
Suppose 20*v**3 - 3*v**2 - 31*v**2 + 10*v**2 + 4*v**4 - 128*v + 128 = 0. What is v?
-4, 1, 2
Let o = -185/362 - -2/181. Let s = o + 5/6. Find w, given that -1/3*w**3 + 0*w + s*w**2 + 0 = 0.
0, 1
Let u(m) be the third derivative of -1/9*m**3 + 0 + 1/54*m**4 - 6*m**2 + 1/270*m**5 + 0*m. Factor u(o).
2*(o - 1)*(o + 3)/9
Let h(c) be the second derivative of -2*c**6/3 - 5*c**5/4 - 5*c**4/12 + 58*c. Factor h(v).
-5*v**2*(v + 1)*(4*v + 1)
Let d = 371 - 364. Let x(h) be the first derivative of -3/2*h**4 - d + 1/2*h**3 - 3/2*h + 3*h**2. Let x(t) = 0. What is t?
-1, 1/4, 1
Let m be (-8)/40 - (42/(-10) - 1). Let w(z) be the second derivative of 0 + z - 1/39*z**4 + 0*z**2 - 1/39*z**3 - 1/130*z**m. Suppose w(t) = 0. What is t?
-1, 0
Suppose 6*r + 121 = -23. Let m be (-2)/(((-8)/18)/(r/(-36))). Let -3/5 - 9/5*w - 54/5*w**4 + 9*w**m + 21/5*w**2 = 0. Calculate w.
-1/3, 1/2, 1
Let y = -815 - -4079/5. Factor y*s**2 + 0*s**3 + 0*s - 2/5*s**4 - 2/5.
-2*(s - 1)**2*(s + 1)**2/5
Let n(i) be the third derivative of -i**6/420 - i**5/30 - 11*i**4/84 - 5*i**3/21 + 151*i**2. Factor n(q).
-2*(q + 1)**2*(q + 5)/7
Suppose w = -5*r + 9, -4*w + 8 = 5*r - 2*w. Factor -8*x**2 - 604 + r*x**3 + 612 - x - x.
2*(x - 4)*(x - 1)*(x + 1)
Let y(i) = -i**3 + i**2 - 50*i - 28. Let l(d) = -50*d - 30. Let n(c) = 6*l(c) - 5*y(c). Factor n(q).
5*(q - 4)*(q + 1)*(q + 2)
Let h(r) = 6 + 18*r + 3*r - 31*r + 4*r**2. Let q be h(2). Factor 6/13*a**q - 4/13*a + 0 - 2/13*a**3.
-2*a*(a - 2)*(a - 1)/13
Let q be (-1210)/(-1200) - (-3)/12*-4. Let t(l) be the third derivative of -6*l**2 + 0*l + 1/60*l**5 - 1/6*l**3 - q*l**6 + 1/24*l**4 + 0. Factor t(b).
-(b - 1)**2*(b + 1)
Let x(j) = -4*j**2 + 2 + j**3 - 4*j + j**3 + 0*j**3. Let m(a) = 4*a**3 - 9*a**2 - 9*a + 4. Let l(d) = -2*m(d) + 5*x(d). Solve l(b) = 0 for b.
-1, 1
Let i(q) be the second derivative of q**7/630 + q**6/180 + 19*q**4/12 + 7*q. Let g(d) be the third derivative of i(d). Solve g(j) = 0.
-1, 0
Suppose 0 = 3*b - 3, 5*s - 12 = -b + 4*b. What is y in -2/3*y**2 + 2/3*y**s + 0 + 0*y = 0?
0, 1
Let i be 2*-10*(-5)/10. Let x be (-16)/(-40) + 156/i. Factor 7 - x + 8 + 2*n - n**2.
-(n - 1)**2
Let b(d