+ 0 + 0*h**4 + 1/10*h**6 + 1/15*h**5 + 0*h**3. Let f(b) = 0. Calculate b.
-1, 0
Let b(j) = 2*j**3 - j**2 - j - 1. Let z(u) = u**3 + 15*u**2 - 12*u - 8. Let a(f) = 4*b(f) - z(f). Determine m so that a(m) = 0.
-2/7, 1, 2
Find q such that -3 - 2325*q - 2 - 3 + 5*q**2 + 2323*q - q**3 = 0.
-1, 2, 4
What is u in -36*u**4 + 350*u - 177*u + 40*u**2 - 181*u - 42*u**3 + 54*u**5 = 0?
-1, 0, 1/3, 2/3
Factor -1/6*h**4 - 8/3 - 4*h + h**3 - 1/6*h**2.
-(h - 4)**2*(h + 1)**2/6
Suppose -3*n + 10 = 2*n. Factor -3*g**3 - 8*g**2 - 4 + 2*g**n - 3*g + 4.
-3*g*(g + 1)**2
Let c be (27/540*-6)/((-2)/5). Solve -1/4*z**3 + 1/4 - 3/4*z + c*z**2 = 0.
1
Let u(g) be the first derivative of 4*g**3/3 + 392*g**2 - 593. Let u(y) = 0. Calculate y.
-196, 0
Let v(b) be the second derivative of -b**5/20 - 19*b**4/12 - 8*b**3/3 + 18*b**2 + 556*b. Factor v(w).
-(w - 1)*(w + 2)*(w + 18)
Let 2/5*w**2 + 38642/5 + 556/5*w = 0. What is w?
-139
Let c = 80 + -238/3. Let j(w) be the first derivative of 7 + 0*w - c*w**3 + w**2. Factor j(s).
-2*s*(s - 1)
Suppose -4*n = 31 + 41. Let j = -13 - n. Suppose j*o - 5 + 0 - 3*o**3 - 1 + 4*o = 0. Calculate o.
-2, 1
Let y(s) be the first derivative of -s**5/60 - s**4/8 + 2*s**3/3 + 15*s**2/2 + 4. Let h(a) be the second derivative of y(a). Factor h(w).
-(w - 1)*(w + 4)
Let f(y) be the first derivative of -y**5/480 - 43*y**2/2 - 12. Let i(a) be the second derivative of f(a). Factor i(b).
-b**2/8
Let u(o) be the first derivative of o**5 - 15*o**4/4 - 5*o**3 + 55*o**2/2 - 30*o - 332. Factor u(s).
5*(s - 3)*(s - 1)**2*(s + 2)
Let r = 717/26 - 1421/52. Factor d**2 + 1/2*d**4 - 7/4*d**3 + 0 + r*d**5 + 0*d.
d**2*(d - 1)**2*(d + 4)/4
Suppose -2*w - 32 = -4*x, 3*x - 3*w = 6*x - 24. Suppose -x*c + 0*c = -24. Factor -1/3*j**c + 0*j + 0*j**2 + 0.
-j**3/3
Let y be 28/(-8)*2 + (2 - 78/(-12)). Solve 3/4*q + y - 3/4*q**2 = 0 for q.
-1, 2
Let q(t) = -t**2 + 26*t - 56. Let d be q(23). Suppose 11*s = d*s - 8. Let 3/2*a**5 + 3/2*a**3 + 3*a**s + 0 + 0*a**2 + 0*a = 0. What is a?
-1, 0
Let v(c) = -c**3 + c + 2. Let s be v(0). Suppose -5 - 1 - 160*z**2 + 155*z**s + 17*z = 0. Calculate z.
2/5, 3
Let v be (-1)/((-12)/9 + 1). Factor 15*f**2 - 7*f**v - 5*f + 2*f**3 - 25*f**2.
-5*f*(f + 1)**2
Find i such that 5*i**3 - 13*i**3 + 12*i**2 - 7*i**3 - 3888 + 3*i**4 + 3888 = 0.
0, 1, 4
Let h(o) = o**2 + 3*o. Let v(j) = -3*j**2 - 8*j. Let c(k) = k**3 + 8*k**2 + 11. Let z be c(-8). Let y(a) = z*h(a) + 4*v(a). Let y(u) = 0. Calculate u.
0, 1
Let f(w) be the second derivative of -1/3*w**3 + 0*w**5 - 2/15*w**6 + 1/3*w**4 + 1/21*w**7 + w + 0*w**2 + 0. Suppose f(l) = 0. Calculate l.
-1, 0, 1
Factor 2/3*h**5 + 4/3*h**2 + 14/3*h - 16/3*h**3 + 4/3*h**4 - 8/3.
2*(h - 1)**3*(h + 1)*(h + 4)/3
Let t = 1621 + -3241/2. Factor 0 + t*s**2 + s.
s*(s + 2)/2
Let -1/6*p**3 + 23/6 + 1/6*p - 23/6*p**2 = 0. What is p?
-23, -1, 1
Suppose 0 = -5*n + 15. Determine d, given that -8*d**3 - 8 - n*d**2 + 7*d**2 + 8*d**2 - 12*d + 12*d**4 + 36*d**3 = 0.
-1, 2/3
Let q(k) = 2*k**3 + 2*k**2 - 183*k - 30. Let m be q(-10). Let m*j - 2/7*j**4 + 0*j**2 + 0 + 6/7*j**3 = 0. What is j?
0, 3
Let c = -61/6 + 439/42. Let y = -7/114 + 163/798. Suppose c*u + y*u**2 - 3/7 = 0. What is u?
-3, 1
Let m be ((-72)/(-90))/(30/50). Factor 2/3*b - 2/3*b**2 + m.
-2*(b - 2)*(b + 1)/3
Let b(n) be the first derivative of -n**4/14 + 4*n**3/7 - 9*n**2/7 + 8*n/7 + 147. Solve b(q) = 0 for q.
1, 4
Determine n so that -4/3*n**2 - 2/3*n**3 + 2/3*n + 4/3 = 0.
-2, -1, 1
What is x in 24*x**3 - 8/3*x**5 + 0 - 8*x + 4/3*x**2 + 12*x**4 = 0?
-1, 0, 1/2, 6
Let c(t) = -7*t**3 - 13*t**2 + 20*t - 3. Let h(z) = 16*z**3 + 26*z**2 - 42*z + 7. Let a(v) = 7*c(v) + 3*h(v). Let a(b) = 0. Calculate b.
-14, 0, 1
Let g be (-4)/(-10) - ((-4)/26 - (-19740)/(-13650)). Factor 5/4*d**g - 5/4*d**3 + 15/2*d + 0.
-5*d*(d - 3)*(d + 2)/4
Suppose 5*n + 24 = 3*o, -2*o - o = -4*n - 21. Solve -6*h**3 + 10*h**2 - 5*h**4 - 3*h**o + 2*h**3 + 2*h**3 = 0.
-2, 0, 1
Suppose -58*m + 0 = 126*m - 0. Solve m + 3/4*h**3 + 27/4*h - 15/2*h**2 = 0.
0, 1, 9
Let m = 8829 - 8827. Factor -12/7*v**m + 4/7*v - 4/7*v**3 + 12/7.
-4*(v - 1)*(v + 1)*(v + 3)/7
Let t(b) be the second derivative of 0 + 0*b**2 - 1/60*b**6 + 1/6*b**3 + 0*b**5 + 1/8*b**4 - 5*b. Factor t(x).
-x*(x - 2)*(x + 1)**2/2
Solve -w**3 - 1/9*w**5 - 7/9*w**2 + 0 - 5/9*w**4 - 2/9*w = 0 for w.
-2, -1, 0
Let w(c) be the third derivative of c**7/840 + 31*c**6/480 + 17*c**5/16 + 75*c**4/32 + 10*c**2 + 15*c. Find x, given that w(x) = 0.
-15, -1, 0
Let d be 1/(9/15*5/15). Suppose -3*f - f - 4*x = -12, -2*f + 6 = d*x. Factor 0*p**f + 0 - 1/5*p**2 + 1/5*p**4 + 0*p.
p**2*(p - 1)*(p + 1)/5
Let p(q) = -q**3 + 12*q**2 + 4*q + 117. Let l be p(13). Suppose 2/9*j**2 + 2/9*j + l = 0. What is j?
-1, 0
Let s be (-47560)/(-16236) - 2/(-11). Determine a so that -4/9*a**2 + 10/9*a + 2*a**5 + 2/3*a**4 - 2/9 - s*a**3 = 0.
-1, 1/3, 1
Let l(k) be the third derivative of k**6/540 + k**5/90 - 19*k**3/6 + 6*k**2. Let r(m) be the first derivative of l(m). Factor r(f).
2*f*(f + 2)/3
Let v(f) be the first derivative of -f**4/120 + f**3/10 - 9*f**2/20 + 21*f + 5. Let j(x) be the first derivative of v(x). Factor j(l).
-(l - 3)**2/10
Let v(j) = -5*j + 1. Let z be v(-1). Suppose 5*a = -o + 16, -z = a + 4*o + 6. Suppose a*l**2 + 24 - l**2 + 3*l - 30 = 0. Calculate l.
-2, 1
Factor -28*x - 100*x**2 - 15*x - 26*x - 31*x + 5*x**3 - 5*x.
5*x*(x - 21)*(x + 1)
Let g(c) = 19*c**4 - 24*c**3 - 11*c**2 + 20*c. Let k(q) = 20*q**4 - 25*q**3 - 10*q**2 + 20*q. Let i(j) = 5*g(j) - 4*k(j). Factor i(u).
5*u*(u - 1)*(u + 1)*(3*u - 4)
Find v, given that -2*v - 36 + 12 - 2*v**4 + 2*v**3 + 344*v**2 - 318*v**2 = 0.
-3, -1, 1, 4
Let n(w) be the second derivative of 25*w**6/6 + 5*w**5/4 - 5*w**4/2 + 185*w + 2. Factor n(p).
5*p**2*(5*p - 2)*(5*p + 3)
Let p(b) be the first derivative of 5*b**3/3 - 45*b**2 + 48. Factor p(q).
5*q*(q - 18)
Let y be 1/3 - (17/3)/(-1). Let q be 240/(-100) - y/(-2). Factor 0 + 9/5*w**4 - q*w + 3/5*w**2 + 3*w**3.
3*w*(w + 1)**2*(3*w - 1)/5
Let g = 677/680 - -11/85. Let v(z) be the first derivative of 0*z + 7 - 1/24*z**6 + z**3 + 1/8*z**4 - g*z**2 - 1/5*z**5. Let v(r) = 0. What is r?
-3, 0, 1
Let f(v) be the second derivative of 4/5*v**3 - 2*v + 24/5*v**2 + 0 + 1/20*v**4. Factor f(y).
3*(y + 4)**2/5
Determine h so that -66/7*h**2 - 2/7*h**3 - 576/7*h - 512/7 = 0.
-16, -1
Determine l so that 0 + 2/3*l**2 + 10/3*l = 0.
-5, 0
Suppose -3150 = -131*l + 3400. What is p in 0 - l*p**5 - 128/9*p**3 - 190/3*p**4 - 8/9*p**2 + 0*p = 0?
-1, -2/15, 0
Suppose -24*y**3 + 6 + 17*y**2 + 0 + 27*y**3 + 3 + 22*y - 1 = 0. What is y?
-4, -1, -2/3
Find z such that -68*z + 22*z**2 + 96*z - 4*z**3 + 2*z**3 - 48 = 0.
-2, 1, 12
Let c be (5/6)/((-2)/(-6)). Let u = -8149 - -16423/2. Factor c*w**2 + u + 25*w.
5*(w + 5)**2/2
Let y(t) be the third derivative of -t**5/20 - 3*t**4/4 - 4*t**3 + 57*t**2. Solve y(v) = 0.
-4, -2
Let s(d) be the second derivative of 5*d**4/24 + 115*d**3/3 + 2645*d**2 + 149*d + 1. Factor s(u).
5*(u + 46)**2/2
Factor -9*x**4 - 27*x + 12 - 21 - 29*x**3 - 1 + 75*x**2.
-(x - 1)**2*(x + 5)*(9*x + 2)
Let i(b) = 15*b**2 - 295*b + 475. Let a(h) = -h**2 + 21*h - 34. Suppose 5*m + 320 - 45 = 0. Let n(k) = m*a(k) - 4*i(k). Factor n(r).
-5*(r - 3)*(r - 2)
Let b(n) be the third derivative of n**6/660 + 47*n**5/330 + 91*n**4/132 + 15*n**3/11 + 31*n**2 - 1. Factor b(j).
2*(j + 1)**2*(j + 45)/11
Let g(n) be the second derivative of 17*n + 2*n**2 - 21*n - 6*n - 8*n**3 + 12*n**4. Solve g(o) = 0 for o.
1/6
Let u = -186 + 165. Let x(d) = -d**2 - 20*d + 24. Let h be x(u). Factor 6 + 3/8*f**2 - h*f.
3*(f - 4)**2/8
Let s(r) be the second derivative of 3*r**5/20 + r**4 + 5*r**3/2 + 3*r**2 + 92*r + 2. Determine p, given that s(p) = 0.
-2, -1
Let c(k) = -2*k**3 - 7*k**2 - k + 7. Let g = 1 + 11. Suppose -g = -o - 2*o. Let w(q) = 2*q**3 + 8*q**2 + 2*q - 8. Let h(f) = o*c(f) + 3*w(f). Factor h(z).
-2*(z - 1)*(z + 1)*(z + 2)
Let a(j) = -1 + 2*j**2 + 2 - 3. Let l be a(2). Factor 3*x**2 - 14*x + 8*x - l*x**2.
-3*x*(x + 2)
Factor 22/3*r**3 - 1/3*r**4 - 572/3*r - 676/3 - 23*r**2.
-(r - 13)**2*(r + 2)**2/3
Suppose w**3 - w**5 - 46*w**3 + 6*w**5 - 48*w**4 - 5*w**5 - 3*w**5 = 0. Calculate w.
-15, -1, 0
Suppose -8 = 4*n, -4*o + 2*n + 3 + 13 = 0. Let h be (5 + (-6)/o)*1. Find k such that 0 + 6/13*k**h + 2/13*k**5 + 0*k - 2/13*