y) = 30*y**4 + 8*y**3 - 30*y**2 - 8*y - 2. Let j(x) = -x**4 + x**2 + 1. Let i(l) = -2*j(l) - w(l). Factor i(h).
-4*h*(h - 1)*(h + 1)*(7*h + 2)
Let t(v) = v**2 - 1. Let u(r) = 2*r**2 + 4*r - 6. Let z = -21 + 14. Let s = z - -8. Let j(d) = s*u(d) - 4*t(d). Let j(x) = 0. Calculate x.
1
Let t(j) be the third derivative of j**5/30 - 7*j**4/12 - 117*j**2. Factor t(g).
2*g*(g - 7)
Let u(o) = -7*o**3 - 4*o**2 + 4*o - 3. Let a be u(-5). Suppose 2*b**3 - 2*b**4 + a*b - 752*b = 0. What is b?
0, 1
Let b be 2/4*(-93 + (-6 - -8)). Let d = 46 + b. Determine g, given that 1/2*g**2 - d + 1/4*g - 1/4*g**3 = 0.
-1, 1, 2
Let d(x) be the first derivative of -x**3/3 + 6*x**2 - 31*x + 39. Let t be d(7). Find w such that 1/2*w**3 + 0*w**2 + 0 - 1/2*w**t + 0*w = 0.
0, 1
Let y(w) be the first derivative of 15 + 4*w + 4/3*w**3 - 4*w**2. What is v in y(v) = 0?
1
Suppose 5*p - 13 = -38. Let x(g) = -g**3 - 6*g**2 - 5*g + 2. Let i be x(p). Factor -c**4 - 2*c - 60*c**3 + 60*c**3 + 3*c**i.
-c*(c - 1)**2*(c + 2)
Let r(n) be the first derivative of n**7/560 + n**6/120 - n**5/80 - n**4/8 + 5*n**3 - 2. Let w(b) be the third derivative of r(b). Let w(y) = 0. What is y?
-2, -1, 1
Let h(c) be the third derivative of c**8/1008 - c**7/90 + 13*c**6/360 - c**5/180 - 7*c**4/36 + 4*c**3/9 - 5*c**2 - c. Solve h(r) = 0 for r.
-1, 1, 2, 4
Let p(g) = -4*g + 15. Let b be p(13). Let j = 41 + b. Solve 0 - 2/9*m**j + 2/3*m**2 - 4/9*m + 0*m**3 = 0.
-2, 0, 1
Let c = -16 - 20. Let a be ((-18)/c)/((1 + -2)/(-10)). Suppose -2/5*s**a + 0*s + 2/5*s**2 + 2/5*s**3 - 2/5*s**4 + 0 = 0. Calculate s.
-1, 0, 1
Let x(l) be the first derivative of -l**7/21 + l**6/3 - 3*l**5/5 + 21*l + 4. Let h(a) be the first derivative of x(a). Factor h(c).
-2*c**3*(c - 3)*(c - 2)
Let j(g) = -40*g**3 - 780*g**2 + 2700*g - 2660. Let v(k) = -9*k**3 - 180*k**2 + 623*k - 614. Let s(i) = -8*j(i) + 35*v(i). Factor s(b).
5*(b - 7)*(b - 3)*(b - 2)
Let t(n) be the first derivative of -5/16*n**4 + 35/8*n**2 - 36 + 5*n + 5/6*n**3. Factor t(s).
-5*(s - 4)*(s + 1)**2/4
Determine k, given that 676 - 465 + 1371*k**2 - 2*k**4 + 957 - 519*k**2 + 444*k - 2180*k - 134*k**3 = 0.
-73, 2
Let i be -2 + (-44)/(-16) + 4543/28. Let z = 165 - i. Factor 4/3 + 2/3*t**z - 2*t.
2*(t - 2)*(t - 1)/3
Let s = 3 + 0. Suppose -4*i + 5*i = s. Factor a**3 - 4*a**2 - i*a**5 + 2*a**2 + 2*a**4 + 0*a**4 + 2*a**5.
-a**2*(a - 2)*(a - 1)*(a + 1)
Suppose -5*o + 5*s - 157 - 338 = 0, -o - 3*s - 111 = 0. Let h = o + 106. Factor 1/2*m**2 + 1/2*m**3 - 1/2*m**h + 0*m + 0 - 1/2*m**5.
-m**2*(m - 1)*(m + 1)**2/2
Let f be ((-3972)/(-26))/2*(-4)/(-3). Let p = 102 - f. Factor p*t**2 + 4/13*t + 2/13.
2*(t + 1)**2/13
Suppose -73*b + 1 = -68*b + 1. Find r such that 2/17*r + 0*r**2 - 2/17*r**3 + b = 0.
-1, 0, 1
Let f(a) be the third derivative of -a**6/120 - 2*a**5/15 - a**4/24 - a**3 - 13*a**2. Let z be f(-8). Factor 43*i - 48*i + 4*i**z + i**2.
5*i*(i - 1)
Let z(a) = 15*a**2 - 5071 + 5071 + 48*a. Let t(x) = -x + 2*x + x**2 + 2*x. Let r(i) = -33*t(i) + 2*z(i). Factor r(y).
-3*y*(y + 1)
Let z be (1 - -10)*(7 - 6). Let t be 3 - 1 - (z/2 - 4). Suppose -t*l - 1/3 + 5/6*l**2 = 0. What is l?
-2/5, 1
Let z(r) be the first derivative of -r**5/90 + r**4/36 - r**2 - 1. Let w(p) be the second derivative of z(p). What is y in w(y) = 0?
0, 1
Suppose 0 = 3*b - 389 + 383. Let a be (2/(-5))/((-12)/120) - b. Factor 0*i**a - 1/9*i**5 - 1/9*i + 0 + 2/9*i**3 + 0*i**4.
-i*(i - 1)**2*(i + 1)**2/9
Let s(u) be the second derivative of -9*u**5/40 + 7*u**4/16 - u**3/3 + u**2/8 - 10*u. Find c, given that s(c) = 0.
1/3, 1/2
Let q(m) be the third derivative of -m**6/420 + 13*m**5/210 + m**4/84 - 13*m**3/21 - 19*m**2 + 2*m. Find d, given that q(d) = 0.
-1, 1, 13
Factor 592/5 + 872/5*r - 2/5*r**4 + 84*r**2 + 62/5*r**3.
-2*(r - 37)*(r + 2)**3/5
Let r(j) be the second derivative of -16*j**2 + 0 - 8/3*j**3 - 5*j - 1/6*j**4. Factor r(u).
-2*(u + 4)**2
Let v(l) be the first derivative of -5*l**3 + 3/2*l**4 - 9/2*l**2 + 0*l - 8. Let t(r) = 3*r**3 - 7*r**2 - 4*r. Let h(a) = -9*t(a) + 4*v(a). Factor h(s).
-3*s**2*(s - 1)
Let p = 4 + -2. Suppose -10*l = 5*l - 45. Solve 0*h + 0 + 3/2*h**l + 3/2*h**4 + 0*h**p = 0.
-1, 0
Let l be (1 + 11)*(-1)/(-2). Suppose -y - 2*y = -l. Determine i, given that 4*i + 4*i + 3*i**y + 6 + i = 0.
-2, -1
Let u(m) = 6*m**2 + 1. Let v(z) = -31*z**2 - 17*z - 47. Let b(h) = 5*u(h) + v(h). Factor b(t).
-(t + 3)*(t + 14)
Let y(t) be the second derivative of -5*t**5/22 - 5*t**4/6 + 56*t**3/33 - 12*t**2/11 + 164*t. Let y(w) = 0. Calculate w.
-3, 2/5
Let p(n) = -4*n - 88. Let o be p(-24). Let i be (3 - o) + (-171)/(-18). Let i*q**3 + 0 + 3/2*q**4 + 3/2*q + 9/2*q**2 = 0. Calculate q.
-1, 0
Let n(h) = 26*h**4 + 98*h**3 - 671*h**2 + 731*h - 11. Let l(k) = -9*k**4 - 32*k**3 + 224*k**2 - 244*k + 4. Let j(r) = -11*l(r) - 4*n(r). Factor j(x).
-5*x*(x - 2)**2*(x + 12)
Let x = 1275/77 + -114/7. Let a(c) be the first derivative of -1 + x*c**2 - 2/33*c**3 + 0*c. Suppose a(q) = 0. Calculate q.
0, 3
Suppose 39 - 8 = 3*s + 5*a, -4*s - 3*a = -23. Suppose 0 = -s*b - b. Solve 0*j - 9/2*j**3 - 3/2*j**5 + 9/2*j**4 + b + 3/2*j**2 = 0.
0, 1
Let n(f) = f + 3. Let p be n(3). Let d = 29 + -25. Solve p*o + 2*o**3 + 0*o + 4*o**2 - d*o = 0 for o.
-1, 0
Let y(n) = n**2 - 59. Let p be y(8). Let g(d) be the first derivative of 0*d**2 + 5 - 6/25*d**p + 0*d - 1/10*d**4 + 0*d**3. Solve g(v) = 0.
-1/3, 0
Let d(p) be the first derivative of -p**4/16 + 47*p**3/6 + 191*p**2/8 + 24*p - 44. What is u in d(u) = 0?
-1, 96
Let g(j) be the third derivative of -j**8/84 + 8*j**7/35 - 7*j**6/10 + 2*j**5/3 + 76*j**2 - 2*j. Let g(c) = 0. Calculate c.
0, 1, 10
Let a be (-3 + (-68)/(-36))*19/(-95). Let c(n) be the third derivative of -a*n**3 + 1/3*n**4 + 0 + 0*n - n**2 - 1/9*n**5. Suppose c(h) = 0. Calculate h.
1/5, 1
Let m(n) be the first derivative of n**3/18 + 19*n**2/12 + 3*n - 43. Factor m(u).
(u + 1)*(u + 18)/6
Factor -2 + 3*f**3 + 14*f**3 + 23*f**3 + 70*f**2 - 25*f - 8.
5*(f + 2)*(2*f - 1)*(4*f + 1)
Let t(n) be the third derivative of -14*n**2 + 0*n + 1/240*n**6 - 1/1680*n**7 + 0*n**3 - 1/96*n**5 + 1/96*n**4 + 0. Factor t(u).
-u*(u - 2)*(u - 1)**2/8
Suppose -3107*l + 3086*l + 30 + 54 = 0. Determine n so that 4/5*n + 2/5*n**l + 0 + 0*n**3 - 6/5*n**2 = 0.
-2, 0, 1
Factor 13/2*v - 1/2*v**2 - 6.
-(v - 12)*(v - 1)/2
Suppose -6*s + 40 = 4*s. Suppose -r - 2 = -s. Find z such that 4/3*z**3 + r*z + 3*z**2 + 1/3 = 0.
-1, -1/4
Let x = -4 + 6. What is y in 6*y**3 - 14 - 4*y**4 + 2*y**4 + 10 - 11*y**4 - 6*y**5 + 17*y**x = 0?
-2, -1, -2/3, 1/2, 1
Solve -18*z**2 - 17*z**2 - 2000 - 17*z**2 + 47*z**2 - 200*z = 0.
-20
Let i(o) = -8*o + 22*o + 3*o**2 - 5 - 6*o. Let a(q) be the first derivative of 4*q**3/3 + 6*q**2 - 8*q + 2. Let u(f) = 5*a(f) - 8*i(f). Factor u(w).
-4*w*(w + 1)
Find s such that 4 - s + 6*s - 10*s**2 - 14*s + 3*s = 0.
-1, 2/5
Let q = -9 + 12. Let u(y) = 6 - 2 - q. Let d(k) = k**3 + k**2 - 1. Let v(g) = -2*d(g) - 2*u(g). Factor v(m).
-2*m**2*(m + 1)
Let s(p) = -2*p**3 + 40*p**2 + 18*p - 10. Suppose 0 = -2*o + 2 + 18. Let y(k) = k**3 - 13*k**2 - 6*k + 3. Let c(b) = o*y(b) + 3*s(b). Factor c(a).
2*a*(a - 3)*(2*a + 1)
Let d be (51/18 + -3)*(-252)/14. Suppose -4/7 + 2*i**d - 2*i + 4/7*i**2 = 0. What is i?
-1, -2/7, 1
Let y = -5776 - -5778. Suppose 2/7*u + 2/7*u**y + 0 = 0. What is u?
-1, 0
Let b(z) be the second derivative of -z**6/50 - 21*z**5/100 - 3*z**4/10 - 7*z - 10. Suppose b(u) = 0. Calculate u.
-6, -1, 0
Let k(f) be the third derivative of -f**7/3600 - 13*f**6/1440 - 3*f**5/200 - 7*f**4/6 - 43*f**2. Let t(i) be the second derivative of k(i). Factor t(l).
-(l + 9)*(7*l + 2)/10
Find q, given that 34/5*q**3 - 56/5*q - 6/5*q**4 + 96/5 - 8*q**2 = 0.
-4/3, 2, 3
Let u be 12 - ((-7)/(-3))/(602/2580). Find i such that -12/5*i + u + 2/5*i**2 = 0.
1, 5
Suppose 3 = -4*l + 3*c, -8*l - 4*c + 4 = -10*l. Suppose 0 + l*p + 3/2*p**4 - 3/4*p**3 - 3/2*p**2 + 3/4*p**5 = 0. Calculate p.
-2, -1, 0, 1
Let s(i) be the third derivative of i**5/180 + 2*i**4/3 + 32*i**3 + 27*i**2. Suppose s(f) = 0. Calculate f.
-24
Suppose -2*f + 13 + 1 = 0. Suppose -f*x = -6*x. Find w, given that -14*w**2 + x*w**4 + 3*w**5 + 6*w**4 - 3*w**3 + 8*w**2 = 0.
-2, -1, 0, 1
Let q(d) be the first derivative of d**8/560 - d**6/100 + d**4/40 - 5*d**2/2 + 11. Let x(o) be the second derivative of q(o).