 - 86 = 0. Suppose 2*g = -19 + s. What is z in 0*z - 2/7*z**3 + g - 6/7*z**5 + 10/7*z**4 - 2/7*z**2 = 0?
-1/3, 0, 1
Solve -12/11*h + 6/11*h**2 - 90/11 = 0.
-3, 5
Let l(o) be the third derivative of -o**6/80 + 3*o**5/20 - o**4/2 + 30*o**2. Factor l(d).
-3*d*(d - 4)*(d - 2)/2
Let s(h) be the first derivative of 4*h**2 - 6*h - 2 - 10*h - 2*h**3 + 31*h - 7*h. Find r such that s(r) = 0.
-2/3, 2
Let g(j) be the first derivative of 361*j**5/5 - 19*j**4 + 4*j**3/3 + 34. Factor g(l).
l**2*(19*l - 2)**2
Let w(f) be the second derivative of -f**7/7560 - f**6/540 - f**5/90 - 5*f**4/12 + 7*f. Let i(g) be the third derivative of w(g). What is l in i(l) = 0?
-2
Find d such that 4*d**3 - 27*d**2 - 13*d**2 + 3*d + 10*d + 6*d + 45*d = 0.
0, 2, 8
Let u = 142907/105 - 1361. Let s(w) be the second derivative of 0*w**3 + 0 + 0*w**4 - u*w**6 - 10*w + 0*w**5 + 0*w**2 - 1/147*w**7. Let s(x) = 0. Calculate x.
-2, 0
Suppose -v**3 - v**5 + 0*v**3 + 3*v**2 - 6*v + 2*v**5 - 3*v**4 - 4*v**5 + 10*v**3 = 0. Calculate v.
-2, -1, 0, 1
Factor -3/4*t**3 + 3/4*t**4 + 0 + 0*t + 0*t**2.
3*t**3*(t - 1)/4
Find i such that -27*i - 6 + 63*i**4 - 31*i**4 - 27*i**5 - 50*i**4 + 78*i**3 = 0.
-2, -1/3, 1
Let z(i) = i**3 - 5*i + 8. Let k be z(2). Let y(j) be the first derivative of 5/18*j**k + 0*j**4 + 0*j**3 + 0*j + 1/15*j**5 - 6 + 0*j**2. Factor y(h).
h**4*(5*h + 1)/3
Let g = 233649576/11249 - -27/1607. Let f = 20817 - g. Determine z, given that -128/7*z + f*z**3 + 16/7 + 180/7*z**2 = 0.
-1, 2/9
Let t(g) be the third derivative of g**9/5040 + g**8/2240 + 5*g**4/6 + 4*g**2. Let x(q) be the second derivative of t(q). Suppose x(h) = 0. What is h?
-1, 0
Let t(k) = -k**2 + 3*k + 3. Let d be t(0). Factor -3*o**2 + 2*o**2 + 10*o**d - 19*o**3 + 10*o**3.
o**2*(o - 1)
Let x(a) = -a**2 - a + 3. Let z(k) = k**2 - 31*k - 41. Let v(b) = 3*x(b) + z(b). Factor v(w).
-2*(w + 1)*(w + 16)
Let b(a) = 2*a**2 - 452*a + 26000. Let w(n) = -4*n**2 + 902*n - 52004. Let u(s) = 5*b(s) + 2*w(s). Factor u(p).
2*(p - 114)**2
Let n(o) be the first derivative of -o**5/5 + 68*o**3/3 - 144*o**2 + 320*o + 621. Suppose n(q) = 0. What is q?
-10, 2, 4
Let i(q) be the first derivative of 2*q**5/15 + 2*q**4/3 - 16*q**2/3 - 32*q/3 - 27. Factor i(w).
2*(w - 2)*(w + 2)**3/3
Let j(v) be the third derivative of -v**7/14 + 7*v**6/10 - 33*v**5/20 + v**4/4 + 4*v**3 - 328*v**2. Let j(m) = 0. What is m?
-2/5, 1, 4
Let m(t) be the first derivative of t**6/21 - 52*t**5/35 + 191*t**4/14 - 524*t**3/21 - 192*t**2/7 + 576*t/7 + 656. Determine i so that m(i) = 0.
-1, 1, 2, 12
Let k = -466 + 471. Let u(p) be the first derivative of 1/3*p**3 - 1/2*p - 7/8*p**2 - k. Suppose u(f) = 0. What is f?
-1/4, 2
Let n = -108230/3 + 36077. Factor -n*g + 0 + 4*g**2.
g*(12*g - 1)/3
Let r(o) be the second derivative of o**5/10 - 19*o**4/6 - o**3/3 + 19*o**2 + 322*o. Find q such that r(q) = 0.
-1, 1, 19
Let g(z) be the first derivative of -2*z**3/39 + 25*z**2/13 - 48*z/13 + 101. Factor g(v).
-2*(v - 24)*(v - 1)/13
Let o(m) be the third derivative of m**5/12 + 205*m**4/24 + 12*m**2 + 3*m. Factor o(t).
5*t*(t + 41)
Let i(h) be the second derivative of -h**4/18 - 20*h**3/9 + 44*h**2/3 - 19*h + 7. Find q such that i(q) = 0.
-22, 2
Let s = -10 + 12. Let k be ((-24)/(-4))/s - -4. Find i such that -3*i**2 - 2 - 2*i**4 + 257*i + 2*i**5 - 255*i - 4*i**3 + k*i**2 = 0.
-1, 1
What is z in 12*z**2 - 4*z - 11*z**2 - 7 - 2*z = 0?
-1, 7
Let w(g) = -g**2 + g. Let c(h) = -4*h**2 - 26*h - 26. Let q(n) = c(n) - 2*w(n). Let q(d) = 0. Calculate d.
-13, -1
Suppose 3*u - 47 = -4*n - 55, 2 = 5*u - n. Find m, given that -11/4*m**2 + u*m - 1/4*m**3 + 0 = 0.
-11, 0
Let x(n) = -13*n**3 - 10*n**2 + 49*n + 90. Let d(a) = -37*a**3 - 30*a**2 + 146*a + 270. Let l(h) = 4*d(h) - 11*x(h). Determine z so that l(z) = 0.
-3, -2, 3
Let t(u) be the first derivative of u**8/5880 - u**7/735 + u**6/252 - u**5/210 - 8*u**3/3 + 19. Let g(f) be the third derivative of t(f). Solve g(z) = 0.
0, 1, 2
Suppose -2*b - 8 = -5*j - 4, 17 = 3*b + 4*j. Let v(p) be the first derivative of -2*p - p**2 + 7 - 1/6*p**b. Let v(f) = 0. What is f?
-2
Let d(w) = -w**2 - 16*w - 24. Let m be d(-14). Suppose -2 = -l - 2*f, -2*l - f - 9 = -m*l. Factor -1/2*v**l + 0*v**3 + 3/2*v**2 + 0 + v.
-v*(v - 2)*(v + 1)**2/2
Find j such that 20*j**2 + 20*j**4 + 3*j + 29*j**3 + 15*j**3 + 2*j + 5*j**5 + 0*j**5 - 14*j**3 = 0.
-1, 0
Let f = -86 - -94. Factor -24 + g + 9*g**2 + f*g**2 + 4*g**2 - 79*g.
3*(g - 4)*(7*g + 2)
Let b(n) be the third derivative of -n**5/60 - 13*n**4/24 - 7*n**2 + 19. Factor b(l).
-l*(l + 13)
Suppose 20*x + 12 - 42 = 10. Find n such that 1/2*n**x - 3 + 1/2*n = 0.
-3, 2
Let m(l) be the first derivative of -l**3/3 + 7*l**2 - 24*l + 62. Solve m(t) = 0 for t.
2, 12
Let i be ((-168)/(-30) + -5)/((-2)/(-70)). Let z(q) = 7*q**2 - 4*q - 3. Let x(t) = -36*t**2 + 21*t + 15. Let o(s) = i*z(s) + 4*x(s). Factor o(j).
3*(j - 1)*(j + 1)
Let r(z) = 2*z**3 + 16*z**2 + 12*z - 9. Let m be r(-7). Suppose -5/3*x**4 + 1/3*x**2 + 7/3*x**3 + 1/3*x**m + 4/3 - 8/3*x = 0. What is x?
-1, 1, 2
Let b(y) = 9*y**2 - 4*y + 1. Let j be b(1). Determine k so that 9 - 40*k - 9*k**3 - k**3 + j + 35*k**2 = 0.
1, 3/2
Factor 4/7*t**2 + 192/7 - 28*t.
4*(t - 48)*(t - 1)/7
Let b(x) = x**2 + 15*x - 52. Let v be b(-18). Find h, given that 107*h + 22 + 5*h**v - 2 - 87*h = 0.
-2
Let y be (2 - -37)*-1*226/(-5424). Factor 1/8*f**4 + 3/2*f + y*f**2 + 3/4*f**3 + 1/2.
(f + 1)**2*(f + 2)**2/8
Determine f so that -26*f**5 + 21*f - 60*f**2 + 27*f**5 + 54*f**3 - 12*f**4 - 4*f**5 = 0.
-7, 0, 1
Let g be 13/(1950/580) + (-2)/(-15). Let s(f) be the second derivative of -1/12*f**g - 1/12*f**3 + 1/40*f**5 - 15*f + 0 + 1/2*f**2. Solve s(i) = 0.
-1, 1, 2
Let q(u) be the third derivative of -u**8/3360 + u**7/1575 + u**6/1800 - u**4/3 - 6*u**2. Let f(r) be the second derivative of q(r). Factor f(i).
-2*i*(i - 1)*(5*i + 1)/5
Let c = -57 + 685/12. Let x(u) be the third derivative of 0 + 1/48*u**4 - 1/120*u**5 - 1/240*u**6 + 0*u - 2*u**2 + c*u**3. Factor x(j).
-(j - 1)*(j + 1)**2/2
Let r(l) = 33*l + 37. Let c be r(-1). Factor -4/3*i**c + 0*i**3 + 4/3*i**2 + 0 + 0*i.
-4*i**2*(i - 1)*(i + 1)/3
Let w be (-2)/10 + 2/5. Let a be 54/(-10) + 414/69. Find n, given that a*n**2 - 2/5 + w*n = 0.
-1, 2/3
Let k(l) = -120*l + 14163. Let y be k(118). Factor -1/3*x + 4/3*x**4 + 0 + 7/3*x**y + 2/3*x**2.
x*(x + 1)**2*(4*x - 1)/3
Factor 0*d**3 - 1/3*d**4 + 4*d**2 - 16/3*d + 0.
-d*(d - 2)**2*(d + 4)/3
Let s = -2 - -13. Solve s*y**2 - 25 + 17*y**3 - 72*y**3 + 55*y + 15 - y**2 = 0 for y.
-1, 2/11, 1
Let i(t) be the third derivative of 2/135*t**5 - 8*t**2 + 0 + 0*t**3 + 2/27*t**4 + 0*t + 1/1080*t**6. Factor i(g).
g*(g + 4)**2/9
Let n(h) be the first derivative of 6 - 1/5*h**5 - 1/4*h**4 + 2/3*h**3 + 0*h + 0*h**2. Factor n(y).
-y**2*(y - 1)*(y + 2)
Let y(w) be the third derivative of w**6/660 + 3*w**5/55 - w**4/132 - 6*w**3/11 - 679*w**2. Factor y(h).
2*(h - 1)*(h + 1)*(h + 18)/11
Let b(p) = 3*p**2 + 84*p + 87. Let q(i) = -3*i**2 - 85*i - 86. Let n(s) = 2*b(s) + 3*q(s). Suppose n(w) = 0. Calculate w.
-28, -1
Let w(z) be the third derivative of -z**6/120 + z**5/40 - z**4/48 - 89*z**2. What is o in w(o) = 0?
0, 1/2, 1
Suppose c + 1 = -3*h, 2*c + 2*c = h - 4. Let b be 0 - ((-4)/(-8))/c*1. Factor b*l**2 - l + 0.
l*(l - 2)/2
Factor 2/7*o**5 + 142/7*o**4 + 23328*o - 209952/7 + 3744/7*o**3 + 42768/7*o**2.
2*(o - 1)*(o + 18)**4/7
Let l be (-2)/9 + (-2)/(-9) - -3. Let r(q) be the third derivative of 0*q**4 + l*q**2 + 1/180*q**5 - 1/18*q**3 + 0 + 0*q. Determine v so that r(v) = 0.
-1, 1
Let r be (-6)/10 - (556/36)/((-25)/15). Find q, given that -r*q**2 - 8/3 + 34/3*q**4 + 68/3*q**3 - 40/3*q - 28/3*q**5 = 0.
-1, -1/2, -2/7, 1, 2
Let c(f) be the second derivative of 0*f**2 + 2*f + 1/90*f**4 - 1/150*f**5 + 0 + 2/45*f**3. Solve c(j) = 0.
-1, 0, 2
Let f(x) be the first derivative of 0*x**4 + 1/126*x**7 - x + 6 + 0*x**2 - 1/90*x**6 + 0*x**3 + 0*x**5. Let a(p) be the first derivative of f(p). Factor a(j).
j**4*(j - 1)/3
Factor -4/5 + 24/5*p - 27/5*p**4 + 11*p**3 - 53/5*p**2 + p**5.
(p - 2)*(p - 1)**3*(5*p - 2)/5
Let k(c) = 6*c**2 - 35*c - 5. Let d(a) be the first derivative of 6 - 6*a**2 + 2/3*a**3 - 2*a. Let r(g) = 17*d(g) - 6*k(g). Find j such that r(j) = 0.
1, 2
Let a(c) = -116*c**2 - 1393*c - 12. Let q be a(-12). Factor -3/8*d*