 6*b**3 + 12*b**3 + 18*b**3 + 45*b**5 = 0.
-1/15, 0, 1
Suppose 24 = -2*t + 190. Suppose 3*g - 43 = q, -3*q + t = 5*g + q. Let 12*s**5 - g*s**5 - 20*s - 115*s**3 - 12*s**5 - 70*s**4 - 80*s**2 = 0. Calculate s.
-2, -1, -2/3, 0
Let f(p) be the third derivative of p**9/332640 + p**8/18480 + p**7/2310 + p**6/495 + 3*p**5/5 + 21*p**2. Let x(r) be the third derivative of f(r). Factor x(s).
2*(s + 2)**3/11
Let b(m) be the third derivative of -m**7/42 - m**6/12 + m**5/4 - 154*m**2. Determine w so that b(w) = 0.
-3, 0, 1
Solve 813/2*z**2 - 444*z + 51/2*z**4 - 3/2*z**5 + 168 - 309/2*z**3 = 0.
1, 4, 7
Let s be 4/(-10) + 852/805 + (-20)/230. What is u in -60/7*u + s*u**3 + 24/7*u**2 + 32/7 = 0?
-8, 1
Let l(a) = a**2 + 258*a + 1512. Let c be l(-6). Factor -3/2*t**3 + 0*t + c*t**4 + t**2 + 0 + 1/2*t**5.
t**2*(t - 1)**2*(t + 2)/2
Let d(i) = -4*i**2 + 7. Suppose 4 = q + 3*q + 4*t, -10 = -2*q + 2*t. Let g(a) = a**2 - 1. Let z(l) = q*g(l) + d(l). Solve z(h) = 0.
-2, 2
Let a(l) = -44*l**2 - 10*l + 2. Let q(h) = 180*h**2 + 41*h - 9. Let y(d) = -9*a(d) - 2*q(d). Let y(w) = 0. Calculate w.
-2/9, 0
Factor 2/7*z**2 - 4/7*z + 0 + 4/7*z**3 - 2/7*z**4.
-2*z*(z - 2)*(z - 1)*(z + 1)/7
Let b(p) be the second derivative of 3*p**5/160 - p**4/16 - p**3/4 + 3*p**2/2 - 193*p. Factor b(w).
3*(w - 2)**2*(w + 2)/8
Suppose -13*l + 18712 - 18700 - 4*l**2 + 5*l**2 = 0. What is l?
1, 12
Let l(y) be the third derivative of -2*y**7/105 - 2*y**6/5 + y**5/15 + 2*y**4 + 18*y**2. Let l(d) = 0. Calculate d.
-12, -1, 0, 1
Factor -56*u**2 - 36*u - 11*u - 93*u + 4*u**3 - 160 - 8*u**3 - 36*u.
-4*(u + 2)**2*(u + 10)
Let f(h) be the third derivative of h**6/360 - h**5/30 + h**4/6 - 3*h**3/2 - 6*h**2. Let t(p) be the first derivative of f(p). Factor t(a).
(a - 2)**2
Solve 20/7*r**5 + 36/7*r**3 + 52/7*r**4 - 8/7*r + 0 - 4/7*r**2 = 0.
-1, 0, 2/5
Let f(t) be the first derivative of -3 - 11/4*t**4 - 2*t**3 + 9/10*t**5 + 6*t**2 + 9/10*t**6 + 3*t. Let c(z) be the first derivative of f(z). Factor c(w).
3*(w + 1)**2*(3*w - 2)**2
Let i(t) = 4*t**2 + 5*t + 4. Let u(p) = 3*p**2 + 4*p + 5*p**2 + p + 6*p + 8. Let v(q) = 5*i(q) - 3*u(q). Factor v(s).
-4*(s + 1)**2
Let c(a) = -396*a - 788. Let w be c(-2). Factor 2 + 1/2*b**3 + w*b + 5/2*b**2.
(b + 1)*(b + 2)**2/2
Let k be 1 - (-95)/(-99) - 6/(-33). Let o be (-12)/(-126)*(-28)/(-6). Let -2/3 + k*j**2 + o*j = 0. Calculate j.
-3, 1
Let l(s) be the second derivative of -1/30*s**6 - 3/40*s**5 - 1/3*s**3 + 14*s + 1/3*s**4 + 0 + 0*s**2 + 1/84*s**7. Determine r so that l(r) = 0.
-2, 0, 1, 2
Let q(s) be the first derivative of -s**6/2160 - s**5/72 - 25*s**4/144 + 2*s**3 + 10. Let b(z) be the third derivative of q(z). Factor b(t).
-(t + 5)**2/6
Let g(i) be the second derivative of -12*i - 1/25*i**5 + 0*i**6 + 1/10*i**3 + 0 - 1/5*i**2 + 1/210*i**7 + 1/30*i**4. Factor g(h).
(h - 1)**3*(h + 1)*(h + 2)/5
Determine r, given that -4*r**2 - r**2 + 46*r - r**3 - 11*r**2 - 32 + 3*r**2 = 0.
-16, 1, 2
Let z(n) be the third derivative of 1/132*n**6 - 2/165*n**5 + 0*n**3 + 0 + 2/1155*n**7 - 1/44*n**4 + 30*n**2 + 0*n. What is y in z(y) = 0?
-3, -1/2, 0, 1
Factor -8 + c**2 - 59*c + 2*c**2 + 101*c - 88.
3*(c - 2)*(c + 16)
Suppose -32 = -6*a + 2*a. Suppose 5*s = -3*i + 340, 3*i - 4*s = a*i - 558. Solve 3*w**2 + 25*w**2 - 12*w - i*w**4 + 114*w**4 - 20*w**3 = 0 for w.
0, 1, 3
Let m = -21/43 - -275/387. Factor 2/9*i**4 + 2/9*i**5 - 2/9*i**2 + 0*i - m*i**3 + 0.
2*i**2*(i - 1)*(i + 1)**2/9
Suppose 13259*u**2 + 3*u**5 - 15 + 6*u + 57*u - 27*u**4 + 78*u**3 - 13361*u**2 = 0. What is u?
1, 5
Let h(v) be the second derivative of -5/3*v**4 - 15*v + 0*v**2 + 0 - 1/4*v**5 - 5/2*v**3. Factor h(s).
-5*s*(s + 1)*(s + 3)
Suppose -j - 10 + 12 = 0. Factor 4*s**3 + s - 7*s**j - 5*s - s**2 + 8*s.
4*s*(s - 1)**2
Let r(l) be the second derivative of l**6/3060 - l**5/255 - l**3/6 + 19*l. Let o(d) be the second derivative of r(d). Suppose o(z) = 0. Calculate z.
0, 4
Factor 0 - 13*o**3 - 5/2*o**4 - 1/2*o**2 + 10*o.
-o*(o + 1)*(o + 5)*(5*o - 4)/2
Let p = 15 - 11. Let s = 59 - 58. Factor -1 + 66*c**3 - 63*c**3 - 4*c + s + c**p.
c*(c - 1)*(c + 2)**2
Solve -1/2*x**2 + 12*x + 25/2 = 0.
-1, 25
Determine a, given that -108/11*a - 1458/11 - 2/11*a**2 = 0.
-27
Find h, given that 68 + 19*h + 2 + 5*h**2 + 56*h = 0.
-14, -1
Let h(o) = 12*o**4 - 68*o**3 + 88*o**2 - 48*o - 8. Let d(m) = 8*m**4 - 45*m**3 + 59*m**2 - 32*m - 5. Let t(g) = 8*d(g) - 5*h(g). Solve t(v) = 0.
0, 1, 2
Let w(i) be the first derivative of 3*i**5/35 + 57*i**4/28 + 97*i**3/7 + 135*i**2/14 - 486*i/7 + 170. Solve w(a) = 0.
-9, -2, 1
Let w(a) be the third derivative of a**5/210 - 5*a**4/42 - 8*a**3/7 - 32*a**2 + 2. Factor w(j).
2*(j - 12)*(j + 2)/7
Let g(o) = -5*o**3 - 39*o**2 - 62*o - 32. Let x(m) = -m**2 + 2*m + 2. Let p(r) = g(r) - 4*x(r). Solve p(a) = 0 for a.
-4, -2, -1
Let z = -6/9407 + 150566/84663. What is i in -2/9*i**4 + 2/3 + z*i + 0*i**3 + 4/3*i**2 = 0?
-1, 3
Let w be -2*(-5)/(3 - -2). Let -8 - 6*p**2 - 29*p**4 - w*p + 31*p**4 + 4*p**3 - 14*p = 0. Calculate p.
-2, -1, 2
Let y(r) = r**2 + 11*r - 33. Let l(f) = -2*f - 3. Let z(t) = 4*l(t) - 4*y(t). Factor z(b).
-4*(b - 2)*(b + 15)
Let m(l) = l**2 + 7*l - 5. Let y be m(-8). Let b(q) be the first derivative of q - 2*q + 2 - 2*q + 2*q**2 + 2*q - q**y. Factor b(h).
-(h - 1)*(3*h - 1)
Let f(u) = 3*u**2 + 5*u - 1. Let l(p) = -10*p**2 + 43*p - 838. Let q(w) = 6*f(w) + 2*l(w). Factor q(t).
-2*(t - 29)**2
Let a(p) be the first derivative of 13 - 8*p - 4/3*p**3 + 6*p**2. Factor a(g).
-4*(g - 2)*(g - 1)
Factor -3/4 - 2*f + 2*f**3 + 5/4*f**4 - 1/2*f**2.
(f - 1)*(f + 1)**2*(5*f + 3)/4
Let r be ((-3)/(-28))/((-30)/(-245)) + 2/(-16). Determine l so that 0*l**2 + 0 + 0*l + r*l**4 + 1/2*l**3 + 1/4*l**5 = 0.
-2, -1, 0
Let v(j) be the third derivative of 0*j - 1/210*j**5 + 0*j**4 + 0*j**3 - 1/735*j**7 + 0 - 9*j**2 + 1/210*j**6. Factor v(x).
-2*x**2*(x - 1)**2/7
Let n(y) be the third derivative of y**5/80 + y**4/48 - 5*y**3/24 + 58*y**2 - 1. Factor n(f).
(f - 1)*(3*f + 5)/4
Let l(j) be the second derivative of 1/96*j**4 + 1/2*j**2 - 1/240*j**5 + 0*j**3 + 0 - 2*j. Let y(q) be the first derivative of l(q). Factor y(d).
-d*(d - 1)/4
Let a(o) = -o**4 - o**2 + o. Let k(v) = 4*v**4 + 24*v**3 - 24*v**2 - 32*v + 36. Let g = -41 + 49. Let c(r) = g*a(r) + k(r). Factor c(f).
-4*(f - 3)**2*(f - 1)*(f + 1)
Let k(a) = -25*a - 93. Let d be k(-4). Let f(n) = n**3 - n + 2. Let m be f(0). Solve d*o**3 - 19*o**3 + 6*o**3 + 6*o**m - 2*o + 2*o**4 = 0.
0, 1
Let n be (-86)/(-450) - (-2)/(-25). Let j(k) be the second derivative of 0 - n*k**3 + 1/2*k**2 + 7*k - 1/36*k**4. Find l such that j(l) = 0.
-3, 1
Let y(t) = -3*t - 5. Let w be y(-3). Factor -5*f**3 - 27*f**4 + 28*f**w + 3*f**3 + f**2.
f**2*(f - 1)**2
Let x(g) be the first derivative of g**7/1050 + g**6/120 + 7*g**5/300 + g**4/40 + 4*g**2 - 13. Let d(i) be the second derivative of x(i). Factor d(k).
k*(k + 1)**2*(k + 3)/5
Let c(d) be the third derivative of -d**6/270 - 7*d**5/45 + 23*d**4/27 - 367*d**2. Let c(i) = 0. Calculate i.
-23, 0, 2
Suppose -15 = f + 5*b - 4, 3*f = -2*b + 6. Factor 0*a**4 - 2*a**f - 2*a**2 + 0*a**2 + 4*a**4.
2*a**2*(a - 1)*(a + 1)
Let m(y) be the second derivative of y**4/3 + 2*y**3/3 - 40*y**2 - 29*y. Factor m(n).
4*(n - 4)*(n + 5)
Let i(l) be the first derivative of 6*l**2 - 6*l - 1. Suppose -72*b + 66*b = -24. Let r(v) = -v**2 - 13*v + 6. Let u(c) = b*i(c) + 3*r(c). Factor u(y).
-3*(y - 2)*(y - 1)
Let g(d) = d**3 - 46*d**2 + 171*d - 10. Let c be g(4). Let 0 + 4/11*h + 6/11*h**4 - 4/11*h**3 - 6/11*h**c = 0. What is h?
-1, 0, 2/3, 1
Suppose -14 - 285 = -f. Let w be (12/7 - 2) + f/91. Factor 2/5*n**2 + 0*n + 2/5*n**w + 0.
2*n**2*(n + 1)/5
Suppose -9*a + 17*a = -0*a + 24. Factor -75/2 - a*g**3 - 63/2*g**2 - 90*g.
-3*(g + 5)**2*(2*g + 1)/2
Factor -5*k**3 - 14*k**2 - 36*k**2 - 24*k + k**3 + 78*k**2.
-4*k*(k - 6)*(k - 1)
Let w(f) be the first derivative of f + 5 + 17/12*f**3 - 21/20*f**5 - 73/16*f**4 + 49/24*f**6 + 3*f**2. Suppose w(s) = 0. Calculate s.
-1, -2/7, 1
Let a(w) be the second derivative of -w**5/190 + 5*w**4/114 + w**3/57 - 5*w**2/19 + 65*w - 1. Factor a(y).
-2*(y - 5)*(y - 1)*(y + 1)/19
Suppose -26/3*g**2 + 30 - 62/3*g - 2/3*g**3 = 0. Calculate g.
-9, -5, 1
Let t be (-1610)/(-345) - (-8)/6. Let h(l) be the first derivative of 3/2*l**4 + 4*l + t*l**2 + 1