 + 2)*(d + 7)
Factor 361/5 + 1/5*p**2 - 38/5*p.
(p - 19)**2/5
Let l(z) = z**3 + 2*z**2 - 2. Let h(d) = -20*d**3 - 18*d**2 + 15*d + 18. Let k(n) = 2*h(n) + 10*l(n). Factor k(x).
-2*(x - 1)*(x + 1)*(15*x + 8)
Let p(h) = 3 + 2*h - h + h + 0*h. Let q be p(0). What is s in s**4 - s**3 - s**3 + 2*s**2 - q*s**3 + 2*s**3 = 0?
0, 1, 2
Factor -112/3*i**2 + 3364/3 - 1450/3*i - 2/3*i**3.
-2*(i - 2)*(i + 29)**2/3
Let o = -291 - -291. Let x(d) be the third derivative of 1/42*d**5 - 1/42*d**4 + 0 + o*d + 1/140*d**6 + 0*d**3 + 8*d**2. Let x(v) = 0. What is v?
-2, 0, 1/3
Let p(d) be the first derivative of 3/2*d**4 + 18 - 68/15*d**3 + 9/25*d**5 + 17/5*d**2 - d. Factor p(n).
(n - 1)*(n + 5)*(3*n - 1)**2/5
Let d(k) be the second derivative of -5*k**7/84 + k**6/6 + 7*k**5/8 + 5*k**4/6 + 17*k. Factor d(t).
-5*t**2*(t - 4)*(t + 1)**2/2
Suppose q - 12 = -4*n + 4*q, -5*q = 0. Suppose n*r - 7 = r + d, 0 = 5*d + 15. Find x, given that -2 - 3 - 2*x**r + 3 + 4*x = 0.
1
Let y(j) be the third derivative of 1/1260*j**6 + 0*j**4 + 0*j - 2*j**2 - 1/420*j**5 + 1/3*j**3 + 0. Let p(c) be the first derivative of y(c). Factor p(h).
2*h*(h - 1)/7
Let o = 15733 + -15733. Solve -6/11*x - 12/11*x**2 + 6/11*x**5 + 12/11*x**4 + o*x**3 + 0 = 0 for x.
-1, 0, 1
Find u, given that -23 + 5 - 5*u**3 + 5 + 5*u - 16*u**2 + 7 - 22*u = 0.
-6/5, -1
Let i = 428/105 - 124/35. Determine j so that -4/5*j**3 + 8/15*j**4 + 0 + i*j**2 - 2/15*j**5 - 2/15*j = 0.
0, 1
Let u be ((-45)/110)/((-2)/((-910)/(-75))). Let r = u - 15/22. Let r*z**2 + 3/5*z**3 - 3/5*z**4 + 6/5 - 3*z = 0. What is z?
-2, 1
Suppose -277 + 53 = -156*y + 244. Let 4/7*k**y + 16/7*k**2 + 0*k + 0 = 0. What is k?
-4, 0
Let h(w) be the third derivative of -1/180*w**6 + 0*w + 0 - 40*w**2 + 1/36*w**4 + 0*w**5 + 1/18*w**3 - 1/630*w**7. Factor h(t).
-(t - 1)*(t + 1)**3/3
Suppose c - 3*o - 2 = -4*o, -2*c = 4*o + 2. Let w = 7 - c. Factor -14*q**2 + 0*q**2 - 6*q**w - 16 + 48*q.
-4*(q - 2)*(5*q - 2)
Let s be (-3)/((-12)/(-4)) - -8. Let c be (13/(-117))/(s/(-9)). Factor 0*x**2 + 0 + 1/7*x - c*x**3.
-x*(x - 1)*(x + 1)/7
Let h(t) be the third derivative of -8*t**2 + 1/280*t**7 - 1/80*t**6 + 1/2*t**3 - 3/80*t**5 + 1/8*t**4 + 0 + 0*t. Factor h(v).
3*(v - 2)**2*(v + 1)**2/4
Solve 0 - 3/7*v**5 + 27/7*v - 82/7*v**2 - 24/7*v**3 + 82/7*v**4 = 0 for v.
-1, 0, 1/3, 1, 27
Let i(n) = 1. Let s(q) = 5*q**5 - 25*q**4 + 30*q**3 + 10*q**2 - 35*q + 17. Let z(f) = -2*i(f) + s(f). Factor z(t).
5*(t - 3)*(t - 1)**3*(t + 1)
Solve 3/4*j**2 - 51/4*j - 27/2 = 0.
-1, 18
Let u(q) be the third derivative of q**8/10080 - q**6/1080 - 11*q**4/8 + 19*q**2. Let k(s) be the second derivative of u(s). Find h such that k(h) = 0.
-1, 0, 1
Let g(f) be the first derivative of f**4/6 + 154*f**3/3 + 5929*f**2 + 913066*f/3 - 117. What is p in g(p) = 0?
-77
Let y(h) be the second derivative of h**5/100 - 53*h**4/60 - 129*h + 1. Solve y(k) = 0 for k.
0, 53
Suppose 0 = v + 5*n + 13, n = 2*v - 4 - 3. Let c(s) be the first derivative of -2 + s**3 + 0*s - 3/2*s**v. Solve c(x) = 0.
0, 1
Let c(k) be the second derivative of -7*k**4/24 - 5*k**3/12 + k**2/2 - 12*k - 1. Factor c(j).
-(j + 1)*(7*j - 2)/2
Factor -5*n - 21 + 8 + 8 - n**3 - 7*n**2 - 6*n.
-(n + 1)**2*(n + 5)
Let k(y) be the first derivative of y**9/2268 - y**8/630 + y**7/630 + 4*y**3 + 9. Let m(a) be the third derivative of k(a). Find q, given that m(q) = 0.
0, 1
Factor 19*m - 72 + 0*m**2 + 160 + 2*m**2 - 109*m + 0*m**2.
2*(m - 44)*(m - 1)
Let z(u) be the second derivative of u**7/21 - 4*u**6/15 + 3*u**5/10 + 2*u**4/3 - 4*u**3/3 - 5*u. Factor z(o).
2*o*(o - 2)**2*(o - 1)*(o + 1)
Let t(o) = -83*o**2 - o. Let c be t(0). Solve c - 1/4*u**2 + 3/4*u = 0.
0, 3
Let w(a) be the third derivative of a**8/672 - a**7/105 + a**6/48 - a**5/60 + 182*a**2. Factor w(b).
b**2*(b - 2)*(b - 1)**2/2
Let n(t) be the third derivative of -t**6/480 + 3*t**5/80 - 7*t**4/48 + 4*t**2 - 4. Factor n(s).
-s*(s - 7)*(s - 2)/4
Let b(w) be the first derivative of -1/3*w + 1/24*w**4 - 1/12*w**2 + 1/9*w**3 + 16. Solve b(a) = 0 for a.
-2, -1, 1
Let h = -363 + 367. Let c(l) be the first derivative of -1/2*l**6 + 9/5*l**5 + 12*l - 7*l**3 - 4 + 3/4*l**h + 0*l**2. Let c(s) = 0. Calculate s.
-1, 1, 2
Let p(o) be the first derivative of -3/14*o**4 + 3/7*o**2 - 2/21*o**3 + 2/35*o**5 + 0*o + 8. Determine j, given that p(j) = 0.
-1, 0, 1, 3
Let t(m) be the second derivative of -5*m**4/36 + 67*m**3/18 - 13*m**2/3 + 62*m. Factor t(p).
-(p - 13)*(5*p - 2)/3
Let h = -6263284/55 + 113881. Let y = h + -32/11. Factor -1/5*m**4 + y*m**2 + 0 + 0*m - 1/5*m**5 + 1/5*m**3.
-m**2*(m - 1)*(m + 1)**2/5
Suppose 4*v - 1120 = -3*v. Let h be v/204 - (-2)/(-17). Factor -2*s**2 - h*s + 4/3 + 2/3*s**4 + 2/3*s**3.
2*(s - 1)**2*(s + 1)*(s + 2)/3
Let x(g) be the first derivative of -1/3*g**4 - 10/9*g + 14 + 2/45*g**5 + 2/3*g**2 + 8/27*g**3. Factor x(y).
2*(y - 5)*(y - 1)**2*(y + 1)/9
Suppose 2*d + d = 6. Let x = -205/6 + 71/2. Determine p, given that 2/3*p + x - 2/3*p**d = 0.
-1, 2
Let z(c) be the second derivative of -c**7/9 + 2*c**6/45 + 7*c**5/30 - c**4/9 + 490*c. What is w in z(w) = 0?
-1, 0, 2/7, 1
Determine p, given that 2/7*p**3 + 0 + 0*p + 4/7*p**2 = 0.
-2, 0
Let d(j) be the second derivative of 3*j**7/1120 - j**6/48 + j**5/40 + j**4/3 - 12*j. Let m(v) be the third derivative of d(v). Let m(b) = 0. What is b?
2/9, 2
Let w be (78/(-52))/((-1)/2). Suppose 11*r - 16 = w*r. Factor 0*d - 3/2*d**4 - 3/4*d**5 + 0*d**r + 0 + 0*d**3.
-3*d**4*(d + 2)/4
Let d(k) = -239*k - 716. Let f be d(-3). Factor 8/3*g - f + 0*g**3 - 2*g**2 + 1/3*g**4.
(g - 1)**3*(g + 3)/3
Determine d so that -19/2*d**4 + 1/2*d**5 - 173*d**2 + 63*d**3 + 385/2*d - 147/2 = 0.
1, 3, 7
Let -6/19*t**2 - 28/19*t + 10/19 = 0. What is t?
-5, 1/3
Factor 828/5*z**2 - 2/5*z**3 + 5256144/5 - 114264/5*z.
-2*(z - 138)**3/5
Find v, given that 2*v**2 - 30*v**4 + 43*v**2 + 14*v**3 + 86*v**4 - 28*v**4 - 27*v**4 = 0.
-9, -5, 0
Let x(w) be the third derivative of w**5/20 + w**4/12 + w**3/6 + 17*w**2. Let b(u) = 10*u**2 + 6*u + 3. Let n(c) = 2*b(c) - 7*x(c). Factor n(i).
-(i + 1)**2
Let y(k) be the second derivative of k**5/80 + 11*k**4/24 - 23*k**3/24 + 459*k. Solve y(x) = 0 for x.
-23, 0, 1
Let m(p) be the first derivative of p**7/273 + 4*p**6/195 + 3*p**5/130 - 13*p - 22. Let s(q) be the first derivative of m(q). What is k in s(k) = 0?
-3, -1, 0
Let z be (-18)/285*(-55)/33. Find l such that 8/19*l**4 + 0 - z*l - 18/19*l**3 + 12/19*l**2 = 0.
0, 1/4, 1
Let d = 1/92 + 177/644. Let v be 16/20 + 2/35. What is x in 0 - d*x**4 - v*x**2 + 0*x + 8/7*x**3 = 0?
0, 1, 3
Let u(a) = -3*a**3 + 102*a**2 + 105*a + 18. Let s(n) = n**2 + n + 1. Let j(l) = -18*s(l) + u(l). Factor j(z).
-3*z*(z - 29)*(z + 1)
Let u(d) be the second derivative of d**7/28 - 29*d**6/30 + 179*d**5/60 - d**4/9 - 151*d**3/36 - 17*d**2/6 + 91*d. What is b in u(b) = 0?
-1/3, 1, 2, 17
Let k(h) be the first derivative of h**4/22 + 26*h**3/33 - 14*h**2/11 + 20. Factor k(u).
2*u*(u - 1)*(u + 14)/11
Let u(m) be the second derivative of 0 + 11*m - 3*m**2 + 13/2*m**3 + 9/4*m**5 - 13/2*m**4. Factor u(t).
3*(t - 1)*(3*t - 1)*(5*t - 2)
Let n = 85/6 - 27/2. Let b = -48887/45 + 5433/5. Solve -2/9 + b*s**2 + 2/3*s - n*s**3 = 0.
-1, 1/3, 1
Let l = 711 + -711. Let z(d) be the second derivative of l*d**2 + 1/24*d**4 - 5*d + 0 + 1/12*d**3. Solve z(f) = 0.
-1, 0
Let v(b) = 66*b + 662. Let l be v(-10). Let i(a) be the first derivative of 3 + 1/4*a**l - 1/4*a - 1/12*a**3. Solve i(z) = 0.
1
Suppose 34 = 5*f + 3*o + 3, -f + 2*o + 1 = 0. Factor -q**2 - 7*q**2 + 2*q**2 + q**2 + 10 - f*q.
-5*(q - 1)*(q + 2)
Let d(w) be the first derivative of w**9/3024 + w**8/1680 - w**7/840 - w**6/360 + 13*w**3/3 + 6. Let r(t) be the third derivative of d(t). Factor r(p).
p**2*(p - 1)*(p + 1)**2
Let s(v) = -4*v**4 - 6*v**3 + 5*v**2 + 9*v + 14. Let c(z) = 17*z**4 + 25*z**3 - 21*z**2 - 35*z - 58. Let o(w) = 6*c(w) + 26*s(w). Factor o(h).
-2*(h - 2)*(h + 1)*(h + 2)**2
Let y be ((-14)/4 - -2)*(-20)/3. What is l in -25*l**5 + 10*l**5 - y*l + 3*l**3 - 5*l**4 + 5*l**2 + 22*l**3 = 0?
-1, 0, 2/3, 1
Let n be -8 + (-22 + -2)/(-2). Let d(c) be the second derivative of -2*c**2 + 0 + 7*c - 3/10*c**5 - 1/3*c**6 + 7/6*c**n + c**3. Let d(s) = 0. What is s?
-1, 2/5, 1
Let s(n) be the first derivative of 0*n**2 + 0*n - 16 + 5/3*n**3 - 5/4*n**4. Let s(g) = 0. Wha