0*o - 1/13*o**3 + 0 - 1/130*o**5 + 1/13*o**2 + 1/26*o**4. Factor z(b).
-2*(b - 1)**3/13
Suppose -z = -3*z. Suppose z = c - 2*c - 1. Let w(k) = -k**2 + k + 1. Let o(q) = -8*q**2 - 6*q. Let b(d) = c*o(d) + 2*w(d). Factor b(u).
2*(u + 1)*(3*u + 1)
Let w(v) = -v**3 + v**2 + v. Let s(k) = k**4 + 9*k**3 + 13*k**2 + 11*k + 4. Let z(n) = s(n) + 2*w(n). Factor z(m).
(m + 1)**3*(m + 4)
Let k(l) be the second derivative of -l**4/48 + 3*l**3/8 + 849*l. Factor k(r).
-r*(r - 9)/4
Let s be ((-9)/(-5))/((42/(-10))/(-7)). Determine d so that -8*d**4 - 877*d**5 + 872*d**5 + 8*d**s + d**4 + 4*d**2 = 0.
-2, -2/5, 0, 1
Let h(n) be the third derivative of n**7/330 + n**6/110 - n**5/60 - n**4/22 + 2*n**3/33 - 66*n**2 + 2. Let h(t) = 0. Calculate t.
-2, -1, 2/7, 1
Let z(c) = 51*c**2 - 797*c - 177. Let i(a) = 2*a**2 + a + 1. Let m(n) = -3*i(n) + z(n). Let m(h) = 0. What is h?
-2/9, 18
Let s(a) = a**2 + 19*a + 5. Let l(x) be the first derivative of 5*x**2 + 2*x + 2. Let i(y) = -5*l(y) + 2*s(y). Find m such that i(m) = 0.
0, 6
Let p(r) be the third derivative of -r**5/160 - 13*r**4/64 + 3*r**3 + 397*r**2. Determine h, given that p(h) = 0.
-16, 3
Let p be ((-27)/54)/((-1)/8). Factor 5*k**5 + 0*k**5 + 271*k**2 - 10*k**p - 261*k**2 - 5*k.
5*k*(k - 1)**3*(k + 1)
Suppose -2*l + l - 19 = -4*b, -3 = -b + 2*l. Let k(q) = q**2 - 3*q - 6. Let m be k(5). Find z, given that m*z**3 + z**5 - 5*z**b + 8*z**4 - 8*z**2 + 0*z**4 = 0.
-1, 0, 1, 2
Let x = 190 - 190. Suppose -5*u = 2*i - 11, u + 3 = -3*i - x. Determine j so that 0 + 3/5*j**u + 3/5*j**2 + 0*j = 0.
-1, 0
Factor 0*k**2 - 4*k**3 - k**2 + k**3 + k**4 + 2*k + k**5 + 0*k**4.
k*(k - 1)**2*(k + 1)*(k + 2)
Solve -18/7*b**2 - 2/7*b**5 + 10/7*b**4 + 0 - 6/7*b**3 + 0*b = 0 for b.
-1, 0, 3
Factor 44 + 4/3*p**2 + 56/3*p.
4*(p + 3)*(p + 11)/3
Factor 13*b**2 + 13*b**2 + 6*b + 11*b**2 - 35*b**2.
2*b*(b + 3)
Let f(i) = i - 3. Let n be f(3). Suppose n*t + 2*t = 18. Factor -m**2 - 3*m**4 + 6 + t*m - 15*m**3 - 2*m**2 + 6*m**3.
-3*(m - 1)*(m + 1)**2*(m + 2)
Let s(b) be the first derivative of b**3/5 + 141*b**2/10 + 138*b/5 - 443. Let s(n) = 0. What is n?
-46, -1
Let b(o) be the first derivative of -o**5/270 + o**2/2 + 32. Let a(t) be the second derivative of b(t). Suppose a(k) = 0. Calculate k.
0
Let g = -7 - 13. Let l be ((-2)/5)/(4/g). Factor 18*f - 17*f - 2*f**2 - 25 - 11*f + f**l.
-(f + 5)**2
Let o(c) = -c**2 - 37 + 0*c**2 - 10*c + 63. Let f be o(-12). Determine p so that 19/2*p**3 - 7/2*p**4 - 4 - 14*p + 3*p**f = 0.
-1, -2/7, 2
Suppose 3*i = 2*i - 3. Let x(f) = -f. Let w be x(i). Solve w*a**3 - 2*a**5 - 2*a**5 + a**5 + 0*a**5 = 0.
-1, 0, 1
Let k be -1*(-4 - (1 + 2)). Let 3*g**4 + k*g**3 + 7*g**3 - 2*g - 4*g**4 + 1 - 12*g**3 = 0. Calculate g.
-1, 1
Let a be 3/(18/10)*6/2. Let 4*f**5 - 4*f**2 + 4*f - 3*f**3 + 4*f**2 - 2*f**4 - 3*f**a + 4*f**2 = 0. Calculate f.
-1, 0, 2
Let g be -50*18/(-7875)*(98/(-12))/(-7). Let p(n) = -n**2 - n + 2. Let t be p(-2). Find v such that -2/15*v**2 - g*v**5 + 0*v + 2/15*v**4 + t + 2/15*v**3 = 0.
-1, 0, 1
Let 9/4*d**3 + 6*d**2 + 15/2 - 99/4*d = 0. Calculate d.
-5, 1/3, 2
Suppose 3*w = -10*w. Let t be 48/21 + w + 0/3. Suppose 32/7 + 2/7*j**2 - t*j = 0. What is j?
4
Let j = 33 - 44. Let c(k) = 6*k**2 + 16*k. Let g(x) be the first derivative of -x**3/3 - 3*x**2/2 - 1. Let y(f) = j*g(f) - 2*c(f). Factor y(m).
-m*(m - 1)
Let j(l) = 2*l**3 + 20*l**2 + 47*l + 1. Let k be j(-4). Solve 2/3*g**k + 0 - 1/6*g**4 + 0*g**3 + 0*g**2 + 0*g = 0 for g.
0, 1/4
Let t(j) be the second derivative of -3*j**5/100 + 21*j**4/20 + 11*j**3/5 - 424*j. Determine q so that t(q) = 0.
-1, 0, 22
Let i(u) = u**3 - 12*u**2 + 11*u + 3. Let b be i(11). Factor 4*l**2 - 2*l + 5*l - 8*l**b - 2*l + 5*l + 2*l**5 - 4.
2*(l - 1)**3*(l + 1)*(l + 2)
Let j(v) = -2*v**3 + 2*v**2 - 2*v + 3. Let i be j(2). Let l = -7 - i. Factor -2*k**3 + 0 - 2*k**l + k**5 + k**4 + 0*k + k + 1.
(k - 1)**2*(k + 1)**3
Let y(w) be the second derivative of -w**5/40 + 101*w**4/8 - 10201*w**3/4 + 1030301*w**2/4 + 94*w. Factor y(k).
-(k - 101)**3/2
What is w in -93*w - 2 - 12*w**3 - 17*w**3 + 2 - 13*w**3 - 6 - 129*w**2 = 0?
-2, -1, -1/14
Let p(n) be the third derivative of -11*n**6/540 + 2*n**5/9 - 19*n**4/108 - 10*n**3/9 + 2*n**2 + 8*n. Solve p(d) = 0.
-6/11, 1, 5
Determine k, given that 0 - 3/2*k**2 - 1/2*k**3 + 2*k = 0.
-4, 0, 1
Let m(u) be the first derivative of -1/18*u**6 - 4 + 0*u - 1/5*u**5 - 1/4*u**4 + 0*u**2 - 1/9*u**3. What is x in m(x) = 0?
-1, 0
Let p = -94 + 96. Solve p*u**5 - 93*u**3 - 8*u**4 + 206*u**3 - 105*u**3 = 0.
0, 2
Let s be (-232)/(-20) + (-253)/23. Solve -2/5 + 1/5*j**3 + s*j**2 - 1/5*j - 1/5*j**4 = 0 for j.
-1, 1, 2
Let y(j) = 5*j**4 - 35*j**3 + 53*j**2 - 27*j + 2. Let d(o) = o**2 + o - 1. Let c(w) = -2*d(w) - y(w). Factor c(g).
-5*g*(g - 5)*(g - 1)**2
Suppose -3*u + 2*g - g + 18 = 0, 2*u - 16 = 2*g. Suppose 831 = u*a - 284. What is s in 3*s**3 - 7*s**3 + a*s + 0*s**3 - 219*s = 0?
-1, 0, 1
Suppose 0 = 2*u + 60 - 62. Let r be (93/(-33))/u + 0 + 3. Factor -r*j + 2/11*j**4 + 2/11 + 4/11*j**3 - 2/11*j**5 - 4/11*j**2.
-2*(j - 1)**3*(j + 1)**2/11
Let u(z) = 2475*z + 17330. Let t be u(-7). Factor 1/5*m + 8*m**4 + 16/5*m**t + 2*m**2 + 0 + 33/5*m**3.
m*(m + 1)**2*(4*m + 1)**2/5
Factor -3/2*s**3 + 51/2*s - 99 + 15*s**2.
-3*(s - 11)*(s - 2)*(s + 3)/2
Let t = -134/3 - -45. Suppose 7*y + 35 - 69 = -20. Solve 4/3*b**y - b - t = 0.
-1/4, 1
Let i(c) = -54*c**2 + 2*c + 1. Let m be i(-1). Let y = m + 58. Suppose -3/2*z**2 + 3/2*z**4 - 3/2*z + 0 + 3/2*z**y = 0. What is z?
-1, 0, 1
Factor -379/9*f - 1/9*f**3 - 191/9*f**2 - 21.
-(f + 1)**2*(f + 189)/9
Suppose 0 = -5*g - 56 + 71. Let j(p) be the first derivative of 3*p**3 + 1 + 9/2*p**2 + 3/4*p**4 + g*p. Suppose j(s) = 0. What is s?
-1
Let k(r) be the first derivative of -r**4/4 - 2*r**3/3 - 6*r + 1. Let d be k(-3). Factor 0*f**5 - 2*f**4 + 2*f**d - 8*f**3 + 2*f**5 + 2*f**2 + 4*f.
2*f*(f - 2)*(f - 1)*(f + 1)**2
Let s(u) = u**2 + 166*u + 5931. Let y be s(-114). Solve 5/2*m**y - 5*m**2 + 5 - 5/2*m = 0.
-1, 1, 2
Let b be 24/(-15) + (-304)/(-40). Let z(m) be the first derivative of 0*m + 0*m**3 - 5 + b*m**2 - 3/4*m**4. Solve z(d) = 0.
-2, 0, 2
Let n(j) be the second derivative of -j**8/1008 + j**7/504 + j**6/216 - j**5/72 - 13*j**3/6 + 9*j. Let m(y) be the second derivative of n(y). Factor m(o).
-5*o*(o - 1)**2*(o + 1)/3
Let u(w) be the third derivative of w**7/42 + 11*w**6/24 + 5*w**5/4 - 335*w**4/24 + 100*w**3/3 + 9*w**2 + 17. Suppose u(g) = 0. Calculate g.
-8, -5, 1
Let j(b) = -b**5 + b**4 + b**2 - b - 1. Let t(x) = 30*x**5 - 170*x**4 + 300*x**3 - 86*x**2 - 138*x + 70. Let u(q) = 6*j(q) + t(q). Solve u(o) = 0.
-2/3, 1/2, 1, 2, 4
Let f = 5255 - 94721/18. Let s = -43/6 - f. Factor 0 + 1/9*v**5 + 0*v - 1/3*v**4 + 1/3*v**3 - s*v**2.
v**2*(v - 1)**3/9
Let j = -3933 + 11800/3. Factor 8/3*b + j*b**2 + 16/3.
(b + 4)**2/3
Let s be 8 + -2 + 4 + -6. Solve 6*v**4 - 929*v**3 - v**s + 10*v + 949*v**3 + 25*v**2 = 0 for v.
-2, -1, 0
Suppose -q = -3*q. Suppose -3 = -5*y + 12. Suppose q*d**4 + 2 + y*d**3 + 3*d**2 - 4*d**2 + d**4 - 2*d**4 - 3*d = 0. Calculate d.
-1, 1, 2
Suppose p + 38 = 20*p. Suppose 0 = 2*g - 3*v - 10, -7 - 7 = -4*g + 3*v. Suppose -3*t**2 + 3*t**2 - p*t**3 - g*t**2 = 0. Calculate t.
-1, 0
Factor 30*x + 5*x**3 - 14*x**2 - 2*x**3 + 64 - 82 - x**3.
2*(x - 3)**2*(x - 1)
Factor 13*s**4 - 254129*s**2 - 182250000*s + 10251562500 - 3600*s**3 + 1469129*s**2 - 5*s**4 - 4*s**4.
4*(s - 225)**4
Let l(a) be the first derivative of 2*a**3/3 + 8*a**2 + 32*a + 2. Factor l(v).
2*(v + 4)**2
Factor 8 - 5*h**2 - 8 - 2191*h + 2081*h.
-5*h*(h + 22)
Let r(t) be the first derivative of 0*t**2 + 2/3*t**3 + 1/2*t**6 + 0*t - 4/5*t**5 - 1/4*t**4 - 1. Determine b so that r(b) = 0.
-2/3, 0, 1
Let r(i) be the second derivative of i**7/70 - 7*i**6/50 + 9*i**5/20 - 9*i**4/20 + i + 63. Solve r(x) = 0.
0, 1, 3
Let j = -70/53 - -1156/795. Let u(w) be the first derivative of 1/10*w**4 + 2 + 0*w - j*w**3 + 0*w**2. What is p in u(p) = 0?
0, 1
Suppose 0 - 12/5*o - 6*o**2 = 0. What is o?
-2/5, 0
Let g(q) be the second derivative of -2*q**7/35 + 7*q**6/75 + 3*q**5/5 + 2*q**4/5 - 8*q**3/15 - 3*q**2/5 - 7*q + 4. Let g(j) = 0. Calculate j.
-1, -1/3, 1/2, 3
Suppose -17/5*p**2 + 18/5 - 19/5*p**3 + 19/5*p - 1/5*p**4 = 0. What is p?
-18, -1, 1
Let m(i) be the second derivative of