s - 2. Suppose -2*b = 2*b - 20. Let r be -2 - (20/(-35))/(4/(-14)). Let x(g) = -2*g**2 - 2. Let q(o) = b*x(o) + r*z(o). Factor q(a).
2*(a - 1)*(a + 1)*(2*a + 1)
Let c = 80 + -68. Let -o + 32*o**2 - c - 63*o**2 + 33*o**2 + 11*o = 0. What is o?
-6, 1
Let f(m) = -2*m**5 + 36*m**4 + 106*m**3 + 138*m**2 + 58*m + 6. Let a(c) = -c**2 + 1 - 30*c - c**5 - c**3 - 27*c + 56*c. Let s(l) = -6*a(l) + f(l). Factor s(t).
4*t*(t + 1)*(t + 2)**2*(t + 4)
Let c(w) = -2*w**2 + w**4 + w**2 - 133*w + 2*w**2 + 132*w. Let y(u) = -8*u**3 + 4*u. Suppose -2*b = 2*b - 16. Let r(a) = b*c(a) + y(a). Factor r(k).
4*k**2*(k - 1)**2
Let g = 327628/204755 + -4/40951. Determine n so that 8/5*n + 0 - 8/5*n**4 - 6/5*n**3 + g*n**2 - 2/5*n**5 = 0.
-2, -1, 0, 1
Solve 805/8*c**3 + 0 + c + 187/4*c**2 + 89/4*c**4 = 0.
-4, -1/2, -2/89, 0
Let j = -223 + 225. Find f, given that -4*f + 7*f + f**4 + 6 - 7*f**2 + f**3 - j*f - 2*f = 0.
-3, -1, 1, 2
Let b = -783 + 797. Suppose -5 = 3*j - b. Factor 0 - 3/2*k**5 + 6*k**2 + 9/2*k**3 - j*k**4 - 6*k.
-3*k*(k - 1)**2*(k + 2)**2/2
Let y(j) be the second derivative of 220*j - 1/6*j**6 + 15/2*j**3 + 0*j**2 + 0 - 9/4*j**5 + 5/12*j**4. Factor y(s).
-5*s*(s - 1)*(s + 1)*(s + 9)
What is z in 68/7*z**2 - 24/7 + 44/7*z = 0?
-1, 6/17
Factor z**2 + 100*z + 8*z**2 - 8*z**2 - 504 - 7*z**2 + 2*z**2.
-4*(z - 18)*(z - 7)
Let a be -154*(6 + -3 + 2). Let l be 7040/a - (-11 + 1). Factor -12/7 - 2*w + l*w**2.
2*(w - 3)*(3*w + 2)/7
Let s(g) = -3*g**4 + 2*g**3 - g**2 + 2*g. Suppose -278 = -5*o - 78. Let b(f) be the first derivative of f**3/3 + 217. Let k(d) = o*b(d) + 5*s(d). Factor k(u).
-5*u*(u - 2)*(u + 1)*(3*u + 1)
Let r(j) = -30*j**3 - 1495*j**2 - 4425*j - 2935. Let o(x) = 7*x**3 + 373*x**2 + 1106*x + 734. Let b(k) = -25*o(k) - 6*r(k). Suppose b(y) = 0. Calculate y.
-2, -1, 74
Let g(x) be the first derivative of -57 + 2*x - 2/15*x**3 + 4/5*x**2. Factor g(w).
-2*(w - 5)*(w + 1)/5
Let t(i) = -3*i**3 - 9*i**2 + 6*i + 4. Let h(k) = -4*k**3 - 10*k**2 + 6*k + 5. Let u = 229 + -233. Let o(s) = u*h(s) + 5*t(s). Factor o(j).
j*(j - 3)*(j - 2)
Let k be -10 - 8/3*11205/3486*(-14)/12. Solve 16/7*d**2 + k + 20/7*d - 4/7*d**3 = 0.
-1, 0, 5
Let w(f) be the second derivative of 0*f**2 + 0 - 1/27*f**4 - 1/189*f**7 + 32*f - 1/18*f**5 + 0*f**3 - 4/135*f**6. Factor w(v).
-2*v**2*(v + 1)**2*(v + 2)/9
Let i(m) = 8*m + 114. Let c be i(-14). Find t, given that 10 - 10*t**2 + 0*t**c + 6*t**2 + 12*t + 6*t**2 = 0.
-5, -1
Let w(g) = -g**3 - g**2. Let a(q) = -112*q - 36*q**2 + 14*q**4 + q**4 - 13*q**4 + 2*q**4 - 96. Let v(z) = -a(z) + 12*w(z). Solve v(j) = 0 for j.
-2, 3
Let s(g) be the second derivative of -g**3/6 + g**2/2 - 16*g. Let h be s(-7). Factor 7 - 3 + h + 4*c**2 + 16*c + 0.
4*(c + 1)*(c + 3)
Let k(d) be the second derivative of -6*d**5/5 + 137*d**4/14 - 97*d**3/7 - 36*d**2/7 - 5*d - 39. Let k(w) = 0. What is w?
-3/28, 1, 4
Suppose -97*i + 49*i = 0. Let a(l) be the third derivative of i + 0*l + 5/48*l**4 + 0*l**3 - 17*l**2 + 1/48*l**5. Factor a(g).
5*g*(g + 2)/4
Let q(c) be the third derivative of -c**7/420 - c**6/45 - c**5/15 + 5*c**3/6 + 2*c**2 - 8. Let h(p) be the first derivative of q(p). Factor h(m).
-2*m*(m + 2)**2
Suppose -4*v = 5*o - 3479, -3*o - 5 = 2*o. Determine b, given that -v + 2212 - 1141 - 5*b**2 + 15*b = 0.
-5, 8
Suppose -10*j + 4*j - 46*j + 3 = 3. Suppose k = -2*i + 4, -4*i - i + 10 = 3*k. Factor 3/8*s**i - 9/4*s + j.
3*s*(s - 6)/8
Suppose -6*q - 6 = -u - 4*q, 0 = u - 4*q - 12. Let t be ((36/(-33))/3)/((-98)/539). Let 5*r - 15/2*r**t + u = 0. Calculate r.
0, 2/3
Suppose 4*f = -2*j - 4, 5 = -5*f + j + 4*j. Let t(l) = 15*l**2 - l - 2. Let d be t(f). Suppose -13 - d - 18*k + 4*k**2 - 7*k**2 = 0. What is k?
-3
Factor -389*a - 2*a**2 - 236*a + 6*a**2 - 2236 + 2857*a.
4*(a - 1)*(a + 559)
Let z = -2257 - -2261. Let m be (z - 0)/(2/((-56)/(-12))). Factor -m*j**2 + 4/3*j**3 - 32/3 + 56/3*j.
4*(j - 4)*(j - 2)*(j - 1)/3
Let l(y) be the first derivative of -y**8/2520 + y**7/252 + y**6/90 + 61*y**3/3 + 42. Let h(s) be the third derivative of l(s). Factor h(q).
-2*q**2*(q - 6)*(q + 1)/3
Solve 1130/3*s**2 - 802*s + 2/9*s**4 - 494/9*s**3 + 480 = 0.
1, 3, 240
Let g(t) be the second derivative of -t**6/90 + 7*t**5/10 + t**4/12 - 64*t**3/9 + 14*t**2 - 1066*t. Factor g(u).
-(u - 42)*(u - 1)**2*(u + 2)/3
Let i = 160 + -160. Suppose -d + 10*d = i. Solve d + 4/13*f + 2*f**2 = 0 for f.
-2/13, 0
Let q(z) be the second derivative of -1/78*z**4 + 22/39*z**3 + 20 - 121/13*z**2 + 2*z. Determine x so that q(x) = 0.
11
Let t(j) = -4*j + 6 - 6. Let r(m) = 1. Let s(n) = -n**2 - 30*n - 22. Let w(z) = -3*r(z) + s(z). Let l(d) = 20*t(d) - 4*w(d). Let l(p) = 0. What is p?
-5
Let k(y) be the third derivative of 29/360*y**5 - 5/72*y**4 + 0 - 6*y + 3*y**2 + 1/180*y**7 - 3/80*y**6 + 0*y**3 + 1/2016*y**8. Determine w so that k(w) = 0.
-10, 0, 1
Let j be (626/(-90) + (-122)/2745)/((-12)/21). Factor j + 1/4*a**2 - 7/2*a.
(a - 7)**2/4
Let f(n) be the first derivative of -n**6/240 + n**5/16 - n**4/4 + 4*n**3/3 + 10*n - 22. Let c(v) be the third derivative of f(v). Let c(m) = 0. Calculate m.
1, 4
Let b be 4 + -2*(1 - 0). Factor -47*m - 20 - 4*m**b - 19*m - 48 - 6*m.
-4*(m + 1)*(m + 17)
Let -27/4*o**2 - 3/4*o**3 - 117/4 + 147/4*o = 0. Calculate o.
-13, 1, 3
Let d = -55711/2 - -27862. Factor d*b**2 - 6*b - 3*b**3 + 2 + 1/2*b**4.
(b - 2)**2*(b - 1)**2/2
Suppose -26 + 1 = -5*j. Let t(o) = -13*o**2 + 24*o**2 - 18*o**2 - 3*o. Let q(n) = 8*n**2 + 4*n. Let d(f) = j*q(f) + 6*t(f). Factor d(l).
-2*l*(l - 1)
Determine h, given that -42477 - 3191*h**2 - 158*h**3 + 0*h**4 - 31611 - 79380*h - 2227*h**2 + 31*h**3 - h**4 = 0.
-42, -1
Factor -w**4 - 2*w**4 + 204*w**2 - 4*w**3 - 3*w + 5*w**4 - 222*w**2 + 39*w.
2*w*(w - 3)*(w - 2)*(w + 3)
Let k = -226 - 321. Let p = k + 1645/3. Factor -p*z - 2/9*z**2 - 2.
-2*(z + 3)**2/9
Let m(f) be the first derivative of 5*f**3 - 5/4*f**4 - 20*f + 10 + 0*f**2. Factor m(w).
-5*(w - 2)**2*(w + 1)
Let b be (-24)/(-18)*90/200. Let d(f) be the first derivative of 3/10*f**2 + 9 - b*f + 2/5*f**3. Factor d(o).
3*(o + 1)*(2*o - 1)/5
Let f(o) be the second derivative of o**7/3780 + o**6/1080 - o**5/15 + 121*o**4/12 - o**2 + 252*o. Let k(t) be the third derivative of f(t). Factor k(g).
2*(g - 3)*(g + 4)/3
Let y(v) = 4*v**2 + 43*v - 107. Let b(a) = -3*a**2 - 63*a + 106. Let j(t) = 3*b(t) + 2*y(t). Find r, given that j(r) = 0.
-104, 1
Let b(y) = 4*y**2 + 14*y + 34. Let r(u) be the second derivative of -u**4/12 - 2*u**3/3 - 11*u**2/2 - u - 4. Let j(g) = 2*b(g) + 7*r(g). Factor j(k).
(k - 3)*(k + 3)
Let n(h) be the second derivative of -46*h + 0 - 5/39*h**3 - 1/78*h**4 + 6/13*h**2. Let n(u) = 0. Calculate u.
-6, 1
Suppose -2*r - 2*c = 2, 5*r - 3*c + 1 = 28. Factor 3*d**4 + 34*d + 15*d**r + 0 + 5*d - 9*d - 9*d + 6 + 27*d**2.
3*(d + 1)**3*(d + 2)
Let w(j) be the third derivative of -5*j**7/231 + 73*j**6/660 - 23*j**5/110 + 19*j**4/132 + 2*j**3/33 - 4*j**2 + 292. Factor w(l).
-2*(l - 1)**3*(25*l + 2)/11
Let k(c) = 5*c**4 - 2*c**2 - 1. Let o(u) = -23*u**4 - 18*u**3 - 25*u**2 - 18*u + 4. Let b(l) = 4*k(l) + o(l). Factor b(a).
-3*a*(a + 1)*(a + 2)*(a + 3)
Let n(p) be the second derivative of 2*p**7/21 + 2*p**6 + 67*p**5/5 + 23*p**4 - 136*p**3/3 - 168*p**2 + 381*p. Find x, given that n(x) = 0.
-7, -6, -2, -1, 1
Let v = 570 + -571. Let y(f) = -5*f**4 - 11*f**3 - 6*f**2 - 2*f - 2. Let m(t) = -t**4 - t**3 - t - 1. Let r(u) = v*y(u) + 2*m(u). Find c such that r(c) = 0.
-2, -1, 0
Let j(a) be the first derivative of -a**3 - 231*a**2/2 - 1213. Factor j(f).
-3*f*(f + 77)
Let f(w) = w**2 - 21*w + 41. Let m be f(20). Suppose -m = -7*d - 7. Determine k so that 6*k**2 - d*k**4 + 0*k**2 + 4 + 10*k - 2*k**3 + 0*k**2 = 0.
-1, 2
Suppose 2/5*g + 36 - 2/5*g**2 = 0. What is g?
-9, 10
Factor 54 + 3/7*w**2 + 195/7*w.
3*(w + 2)*(w + 63)/7
Let o(a) be the third derivative of a**6/300 + 2*a**5/25 + 9*a**4/20 + 545*a**2 + 2. Factor o(m).
2*m*(m + 3)*(m + 9)/5
Let f(o) = o**3 - 6*o**2 + 3*o - 15. Let c be f(6). Let v be 6*(-2)/c*(-3)/6. Determine b so that 18 - 9*b**v + 15*b**2 + 3*b**2 + 33*b = 0.
-3, -2/3
Let p(i) be the second derivative of -40/3*i**3 + 3*i**4 - 4*i + 0*i**2 + 28 + 1/10*i**5. Solve p(l) = 0.
-20, 0, 2
Let j = -97 + 99. Let 28 + 21 + 23*i + 4*i**j - 9 - 67*i = 0. Calculate i.
1, 10
Determine o, given that -144/5*o - 2/5*