d(w). Factor b(i).
2*(i - 1)**2*(i + 1)**2
Let j(v) = -2*v**2 - 91*v + 40. Let n be 0/6 + (3 - -3). Let i(a) = -30*a**2 - 1275*a + 560. Let f(q) = n*i(q) - 85*j(q). Suppose f(t) = 0. What is t?
1/2, 8
Let u(s) be the first derivative of 1/360*s**6 - 1/60*s**5 - 20 + 0*s**2 + 0*s - 1/8*s**4 - 7*s**3. Let k(f) be the third derivative of u(f). Factor k(z).
(z - 3)*(z + 1)
Suppose -3*r - l - 12 = 0, 24 = 5*r + 79*l - 81*l. Factor 0 + 0*v**2 + 2/5*v**3 - 9/5*v**4 + 7/5*v**5 + r*v.
v**3*(v - 1)*(7*v - 2)/5
Let p be (-3 - 5/(-2))*0. Let x(y) = -11*y + 3. Let a be x(p). Determine n, given that 6/5*n**4 + 3/5*n**a + 0*n - 6/5*n**2 - 3/5*n**5 + 0 = 0.
-1, 0, 1, 2
Let k(u) = -13*u**2 - 46*u + 6. Let z(j) = -2*j**2 - 3*j + 1. Let v(o) = -k(o) + 6*z(o). Find r such that v(r) = 0.
-28, 0
What is u in -15*u**4 + 191*u**2 + 180*u + 4*u**4 - 459 + 6*u**4 + 2*u**4 + 36*u**3 + 55*u**2 = 0?
-3, 1, 17
Let k(x) be the second derivative of -x**7/126 + 4*x**6/45 - x**5/15 - 29*x**4/18 + 5*x**3/18 + 25*x**2/3 - 44*x - 6. Solve k(m) = 0.
-2, -1, 1, 5
Suppose 326*y = 87*y + 473 + 5. Solve 0 + 4*p**3 + 32/3*p + 40/3*p**y = 0.
-2, -4/3, 0
Let d be (-6)/33 - (-46791)/252450. Let p = 1721/5950 - d. Factor 4/7*m**2 + 2/7*m**3 + p*m + 0.
2*m*(m + 1)**2/7
Let b = -41603 - -374435/9. Factor 4/9*p**4 + 8/9*p - 4/9*p**2 - b*p**3 + 0.
4*p*(p - 2)*(p - 1)*(p + 1)/9
Let f(y) be the second derivative of -4*y**5/5 + 17*y**4/12 + 31*y**3/6 - y**2 + 9286*y. Factor f(d).
-(d - 2)*(d + 1)*(16*d - 1)
Suppose -36*b - 72*b + 234 + 198 = 0. What is r in -20/3*r**2 + 4*r + 0 + 3*r**3 - 1/3*r**b = 0?
0, 1, 2, 6
Let i(y) = 3*y**3 - 3392*y**2 + 577994*y - 2. Let c(h) = 2*h**3 - 3388*h**2 + 577991*h - 3. Let k(u) = -2*c(u) + 3*i(u). Factor k(w).
5*w*(w - 340)**2
Let p(a) be the first derivative of -a**5/15 + a**4/4 + 10*a**3/3 - 64*a**2/3 + 32*a + 1495. Factor p(d).
-(d - 4)**2*(d - 1)*(d + 6)/3
Let p(m) be the first derivative of 29 + 11/6*m**2 + 1/9*m**3 + 0*m. Factor p(w).
w*(w + 11)/3
Let u(g) be the first derivative of 4*g**5/15 - 35*g**4/6 - 26*g**3/3 + 35*g**2/3 + 74*g/3 + 1867. Suppose u(v) = 0. What is v?
-1, 1, 37/2
Let v be 106/(-159) - (-222)/324. Let l(d) be the second derivative of 0 - 4/27*d**3 + v*d**4 + 0*d**2 + 21*d. Factor l(i).
2*i*(i - 4)/9
Let d(i) = 1096*i**2 + 4385*i + 8. Let z be d(-4). Factor 46/3*s**2 + 0 - 2/3*s**z + 20/3*s**3 + 8*s.
-2*s*(s - 12)*(s + 1)**2/3
Let y(f) = 2*f**2 - 6*f - 157. Let n be y(-9). Factor -2*d**3 + 54 - 33*d - 16*d**2 + n*d + 2*d**2 + 16*d.
-2*(d - 3)*(d + 1)*(d + 9)
Solve 1545/2*u**2 - 3093/2*u + 1547/2 + 1/2*u**3 = 0.
-1547, 1
Suppose 83*o = 88*o - 45. Suppose -o = -7*z + 5. Let 48*l + 144 - 5*l**2 + l**2 + 3*l**z + 5*l**2 = 0. Calculate l.
-6
Suppose -11 + 32 = 3*d. Let 67*l**5 + 8*l - 9*l**3 - 34*l**5 - 32*l**5 - d*l**4 + 7*l**2 = 0. Calculate l.
-1, 0, 1, 8
Let h(p) be the first derivative of -5*p**4/4 - 145*p**3/3 - 500*p**2 - 2000*p + 7287. Factor h(w).
-5*(w + 4)*(w + 5)*(w + 20)
Let p(i) = i**2 + i - 1. Let v = -119 + 121. Suppose -v*r = -3*r - 1. Let j(z) = -26*z**2 + 64*z + 31. Let b(t) = r*j(t) - p(t). Solve b(l) = 0.
-2/5, 3
Let 13*j - 13*j - 4*j**3 + 752*j**2 - 916*j**2 = 0. What is j?
-41, 0
Let a be (1/(-17) - 0/(-2))/(320/(-1280)). Let b(w) be the first derivative of -11 - 8/51*w**3 - a*w**2 + 0*w - 1/34*w**4. Factor b(r).
-2*r*(r + 2)**2/17
Let x(t) = 2*t**2 - 24*t + 36. Let k(z) = 8*z**2 - 97*z + 144. Suppose 6 - 15 = -g. Let q(f) = g*x(f) - 2*k(f). Solve q(u) = 0 for u.
2, 9
Suppose -23*s + 19*s + 4*l = 2768, 0 = -4*s - 5*l - 2741. Let u = 2757/4 + s. Find d, given that u*d**2 + 1/4*d**4 + 1/2*d**3 + 0 + 0*d = 0.
-1, 0
Let s = 349 - 350. Let a(v) = 6*v**2 - 44*v + 18. Let x(p) = -3*p**2 + p - 1. Let o(k) = s*a(k) - 4*x(k). Factor o(f).
2*(f + 7)*(3*f - 1)
Let f = -209/28 + 120565/16156. Let s = f + 579/1154. Solve s + h**2 + 1/4*h**3 + 5/4*h = 0 for h.
-2, -1
Let h = -12 - -13. Suppose -h - 4 = -p. Factor 2 - p + 9*b**2 - 4*b - 5 - 5*b**2.
4*(b - 2)*(b + 1)
Let -1526*y + 87*y**2 - 42404 - 302*y**2 - 644*y + 42204 = 0. Calculate y.
-10, -4/43
Let q = 611/33 + -166/3. Let h = q - -37. Solve -h*k**2 - 8/11*k - 6/11 = 0 for k.
-3, -1
Let -9*r**5 - 197 - 1065*r**3 - 235 - 663*r**4 + 1074*r - 259377*r**2 + 260472*r**2 = 0. What is r?
-72, -2, -1, 1/3, 1
Suppose j - 5*x = 6*j, 8 = -j - 3*x. Suppose 6*n = 35 - 11. Factor -22 + 12*g**3 - g**n - 2 + 5*g**j - 5*g - 12*g**2 - 39*g.
4*(g - 2)*(g + 1)**2*(g + 3)
Let r(p) be the second derivative of 47*p**7/168 - 23*p**6/60 - 33*p**5/8 + 151*p**4/12 - 269*p**3/24 - 3*p**2/4 + 6783*p + 2. Solve r(y) = 0.
-3, -1/47, 1, 2
Let k(a) = -12*a**3 - 2547*a**2 + 7716*a - 5103. Let c(i) = -3*i**3 - 637*i**2 + 1930*i - 1278. Let b(r) = -9*c(r) + 2*k(r). Solve b(q) = 0 for q.
-216, 1, 2
Suppose 6*s - 15*s = 162. Let d = s - -22. Solve -8*w**2 + d*w + 3*w + w - 6*w = 0 for w.
0, 1/4
Let a = -46 + 49. Suppose -4*b + 12 = 0, 29*s - 2*b = 24*s - 6. Determine c, given that 0 + 12/13*c**a - 2/13*c**4 + 0*c**2 + s*c = 0.
0, 6
Let o be 4 - (1/(-4))/(2/(-8)). Factor 13*l**5 + 4*l**4 + 19*l**3 + 5*l**o - 17*l**5.
-4*l**3*(l - 3)*(l + 2)
Let p(q) be the third derivative of -q**6/120 + q**5/40 + q**4/4 + 39*q**3/2 - 33*q**2. Let x(v) be the first derivative of p(v). Let x(a) = 0. What is a?
-1, 2
Factor -6490 + 1769*a + 660 - 29*a**2 - 13571*a - 2775*a + 24*a**2.
-(a + 2915)*(5*a + 2)
Let p be (-4 + 1008/(-96))/((-6)/4) - 7. Solve 2*r**2 + 2/3*r**3 + 0*r - p = 0 for r.
-2, 1
Let v(n) be the first derivative of 180 - 31/9*n**3 + 256/3*n + 112/3*n**2 + 1/12*n**4. Factor v(o).
(o - 16)**2*(o + 1)/3
Let y be ((-6)/(-52))/(3244/21086). Let 17/4*p + y*p**3 - p**4 + 3/4 + 21/4*p**2 = 0. Calculate p.
-1, -1/4, 3
Let p(k) = 4*k**3 - 1282*k**2 + 4900*k - 3710. Let i(u) = u**3 - 321*u**2 + 1223*u - 927. Let s(z) = -22*i(z) + 6*p(z). Factor s(q).
2*(q - 311)*(q - 3)*(q - 1)
Let i(f) be the second derivative of -512/7*f**2 + 0 + 95/21*f**4 - 3/35*f**5 - 1472/21*f**3 + 153*f. Suppose i(a) = 0. Calculate a.
-1/3, 16
Let k(c) be the second derivative of -c**5/20 + c**4 - 7*c**3/2 + 45*c**2/2 + 64*c. Let v(l) be the first derivative of k(l). What is h in v(h) = 0?
1, 7
Suppose 9*v + 35 = 2*v. Let z(u) = -7*u**3 + 5*u**2 + 7*u + 13. Let o(l) = -6*l**3 + 4*l**2 + 6*l + 11. Let c(n) = v*z(n) + 6*o(n). Let c(t) = 0. Calculate t.
-1, 1
Suppose -5*t + 175 = -5*h, 0*t + 4*t + 3*h = 133. Suppose 2*u + 3*b = 3 - 5, 2 = 3*u + 2*b. Let -10 - 7*o**u - 57*o + 4 + t*o = 0. What is o?
-3, -2/7
Let z(w) = 2*w**3 - 153*w**2 + 75*w + 89. Let r be z(76). Suppose 0 = 3*f + 4*p - 14, r*p = 3*f + 10*p. Let 6/7 + 1/7*h - 1/7*h**f = 0. What is h?
-2, 3
Let x be (-4 - 12/(-6))/((-2)/3). Factor 8*w**2 - x*w**2 + 916*w + 4*w**3 - 8 - 914*w - 3*w**3.
(w - 1)*(w + 2)*(w + 4)
Let f(r) = -r**3 - 21*r**2 - 3*r - 55. Let g be f(-21). Factor -4*k**2 + 9*k - 4*k**4 + g + 4*k + 4*k - 5*k - 12*k**3.
-4*(k - 1)*(k + 1)**2*(k + 2)
Factor -265559*u**2 - 6732*u**3 - 7447*u**3 - 5529600 + 77783*u**2 - 2*u**5 - 91*u**4 - 1658880*u + 4355*u**3 - 141*u**4.
-2*(u + 12)**3*(u + 40)**2
Let d = -154807 + 154810. What is s in 0 - 4/5*s**5 - 16/5*s**4 - 8/5*s**2 + 0*s - 4*s**d = 0?
-2, -1, 0
Let x be 0 + 6 + -1 + -9. Let g be (-18)/15 - (1 + x). Let -3/5*m**3 + 9/5*m**2 - g*m + 3/5 = 0. Calculate m.
1
Let c(w) = 63 + 17*w**2 - 5*w - 13*w**2 - w**3 - 65. Let s(k) = -3*k**2 + 6*k + 3. Let d(j) = 3*c(j) + 4*s(j). Factor d(t).
-3*(t - 2)*(t + 1)**2
Let t(w) be the second derivative of w**6/200 + w**5/20 - w**4/5 - 24*w**3/5 - 23*w**2/2 + 70*w. Let j(x) be the first derivative of t(x). Factor j(p).
3*(p - 3)*(p + 4)**2/5
Suppose 117*l = 2*q + 232, -3*q - 28 = 26 - 57. Find i such that 0 - 108/5*i - 3/5*i**l = 0.
-36, 0
Let q = -504996 - -505000. Determine u, given that 1/6*u**q + 0 - 4/3*u**2 + 0*u + 7/6*u**3 = 0.
-8, 0, 1
Let j be (-239)/2 - 18/36. Let d be 40/j + (-2)/(-6). Factor d - 3/7*l**2 - 6/7*l.
-3*l*(l + 2)/7
Let q(c) be the first derivative of 5*c**4/12 - 200*c**3/9 + 695*c**2/6 + 300*c + 884. Factor q(p).
5*(p - 36)*(p - 5)*(p + 1)/3
Let n(d) = 13*d + 85. Let j be n(-6). Let a be 66/2*(-5)/(-15) - j. Factor 0*y + 0 - 3/10*y**a + 2/5*y**2 + 0*y**3 - 1/10*y**5.
-y**2*(y - 1)*(y + 2)**2/10
Suppose 206*t = 234*t. Let z(p) be the third derivative of 0*p**3 + 8/45*p**5 + t - 