16*u - 15*u + 7. Let z(q) = -q**4 + 7*q**2 + 6. Let s(p) = -p**4 + 8*p**2 + 7. Let c(y) = u*z(y) + 6*s(y). Factor c(w).
w**2*(w - 1)*(w + 1)
Let t(o) = -60*o**3 - 480*o**2 + 1175*o - 600. Let y = -274 - -271. Let d(j) = -5*j**3 - 40*j**2 + 98*j - 50. Let b(a) = y*t(a) + 35*d(a). Factor b(k).
5*(k - 1)**2*(k + 10)
Let n(f) be the second derivative of f**6/90 + 17*f**5/60 - 187*f**4/36 + 319*f**3/18 - 25*f**2 + 786*f - 2. Determine w, given that n(w) = 0.
-25, 1, 6
Let 238*y + 2/5*y**3 + 248/5*y**2 + 0 = 0. Calculate y.
-119, -5, 0
Suppose u - 6*p = -11*p + 16, 2*u - 22 = -5*p. Let v be ((-6)/(-9))/((-1)/(-3)). Find b, given that 9*b + 2 - u + 4*b**v - 9*b = 0.
-1, 1
Let z be 10/(-12)*(-324)/1440. Let i(b) be the first derivative of -z*b**4 - 13 - 1/2*b**3 + 0*b - 3/8*b**2. Suppose i(l) = 0. What is l?
-1, 0
Let u = 31/48 + -3203/4848. Let i = 499/404 - u. What is z in 1/4*z**4 + 0 + 1/4*z**5 - i*z**2 - 1/2*z - 3/4*z**3 = 0?
-1, 0, 2
Suppose -22 = j - 29. Factor j*f + 4*f**2 - 4 - f + 11*f - 3*f**3 - 2.
-(f - 3)*(f + 2)*(3*f - 1)
Let d be -11*84/462 + 5. Determine q so that 8/5 - 3/5*q**d + 28/5*q**2 - 33/5*q = 0.
1/3, 1, 8
Let h(c) be the second derivative of -c**5/20 - 2*c**4/3 + 3*c**2/2 + 6*c. Let b be h(-8). Factor -34*u**b + 24*u**3 - 4*u**4 - u**4.
-5*u**3*(u + 2)
Let y be 226636 + 11/(66/(-36)). Factor 226630*q**2 - 70*q**3 + 2*q**5 - 68*q**4 - y*q**2.
2*q**3*(q - 35)*(q + 1)
Factor 9/2*h**4 + 0*h + 43/10*h**2 + 1/10*h**5 + 0 + 87/10*h**3.
h**2*(h + 1)**2*(h + 43)/10
Let u = -1124 + 1130. Let s(m) be the second derivative of -14*m + 1/15*m**u + 7/12*m**4 + 1/2*m**2 + 17/24*m**3 + 1/168*m**7 + 11/40*m**5 + 0. Factor s(f).
(f + 1)**4*(f + 4)/4
Let d(h) be the first derivative of 3*h**4/16 - 13*h**3/2 + 213*h**2/8 - 69*h/2 - 661. Factor d(z).
3*(z - 23)*(z - 2)*(z - 1)/4
Let l = -1308422/3 - -436155. Factor -l*v**2 + 1/3*v**3 + 161*v - 147.
(v - 21)**2*(v - 1)/3
Let d(w) = 34*w**2 + 59*w + 186. Let r = 69 - 63. Let p(y) = 8*y**2 + 15*y + 46. Let t(j) = r*d(j) - 26*p(j). Solve t(k) = 0.
-5, -4
Let n(w) be the second derivative of -w**7/273 + 2*w**6/65 - 11*w**5/130 + w**4/39 + 4*w**3/13 - 8*w**2/13 - 2*w - 769. Solve n(k) = 0 for k.
-1, 1, 2
Let k = 7896 + -568511/72. Let w(y) be the second derivative of k*y**4 + 1/4*y**2 - 1/9*y**3 + y + 0. Suppose w(d) = 0. Calculate d.
1, 3
Let p(s) be the second derivative of -2*s**4 + 3*s**3/2 + 15*s**2/2 + 26*s - 8. Let p(u) = 0. Calculate u.
-5/8, 1
Let n = 914 + -713. Let q be -9 + n*4/84. What is r in 8/7*r**3 - 10/7*r + 8/7*r**4 - 4/7 + 2/7*r**5 - q*r**2 = 0?
-2, -1, 1
Let p(u) be the first derivative of -1/2*u**2 - 6*u - 3/16*u**4 - 1/20*u**5 + 34 + 3/2*u**3. Find w, given that p(w) = 0.
-6, -1, 2
Let a = -40 - 68. Let x = -93 - a. Factor -17 - 5*z**2 + z**2 - z**2 + 7 + x*z.
-5*(z - 2)*(z - 1)
Let k = 64 + -92. Let v be k/7*(1 - 2). Let r(j) = -40*j**2 + 39*j + 1. Let n(u) = -20*u**2 + 19*u + 1. Let o(w) = v*r(w) - 9*n(w). Factor o(q).
5*(q - 1)*(4*q + 1)
Let -14*v**4 - 10*v**4 - 271 + 110*v - 30*v**3 + 21*v**4 + 57*v**2 - 125 + 118*v = 0. What is v?
-11, -3, 2
Suppose -2/5*o**2 - 268/5*o + 54 = 0. What is o?
-135, 1
Let r(j) be the third derivative of -j**7/105 - 103*j**6/60 - 831*j**5/10 + 8215*j**4/12 - 5618*j**3/3 - 1034*j**2 + 1. Find p, given that r(p) = 0.
-53, 1, 2
Let p(r) be the first derivative of -5*r**4/4 + 110*r**3 - 6525*r**2/2 + 33640*r - 2715. Factor p(i).
-5*(i - 29)**2*(i - 8)
Factor 1/4*b**2 - 73/2*b + 72.
(b - 144)*(b - 2)/4
Let u(h) = 5*h**2 - 3*h - 35. Let b(l) = -13*l**2 + 7*l + 7. Let r(d) = 24*d**2 - 13*d - 13. Let k(i) = 11*b(i) + 6*r(i). Let s(v) = 3*k(v) - u(v). Factor s(f).
-2*(f - 4)*(f + 4)
Suppose -5*d - 29 + 44 = 0. Suppose 0 = 5*t + 50, -5*m + 3*t = 430 - 480. Suppose 2*r**2 + 2/5*r**5 - 2*r**d - 8/5 + 8/5*r - 2/5*r**m = 0. What is r?
-2, -1, 1, 2
Let h(c) = -2*c**3 + 5*c**2 - 11*c - 49. Let p be h(9). Let t = p - -1203. Let -t - 2/3*v**2 + 8/3*v = 0. What is v?
1, 3
Let f = 43129 + -43127. Factor -75 - 10*o - 1/3*o**f.
-(o + 15)**2/3
Suppose -154 = -9*o + 11*o + 4*w, -2*w + 445 = -5*o. Let n = o - -89. Factor 0*k + 0*k**n + 1/2*k**4 - 1/4*k**5 + 0*k**3 + 0.
-k**4*(k - 2)/4
Suppose d + 27 = -2*x - 2*d, 2*x - 13 = 5*d. Let l be 2/(-14) - 6*x/63. Let 0 + 0*n**3 + 3/7*n**2 - l*n**4 + 0*n = 0. What is n?
-1, 0, 1
Let s(r) = -11*r**2 - 7404*r + 4568842. Let p(a) = 4*a**2 + 2468*a - 1522961. Let t(f) = 14*p(f) + 5*s(f). Let t(g) = 0. Calculate g.
1234
Let j(c) be the second derivative of -c**5/40 + 7*c**4/4 - 119*c**3/12 + 39*c**2/2 + 222*c - 2. Determine b, given that j(b) = 0.
1, 2, 39
Let q(d) be the second derivative of 0*d**2 - 7/33*d**3 + 5/22*d**4 - 9/110*d**5 + 9 + d + 1/165*d**6. Factor q(h).
2*h*(h - 7)*(h - 1)**2/11
Let d(o) = -9*o**2 - 336*o + 708. Let k(z) = z**2 - 4. Let r(j) = d(j) + 6*k(j). Factor r(y).
-3*(y - 2)*(y + 114)
Let l(r) = -6*r**2 + 19*r. Let w be l(3). Factor 4*u + 11313 - 5*u**2 + 6*u**2 + 8*u**2 + 8*u - 6*u**3 - w*u**4 - 11325.
-3*(u - 1)**2*(u + 2)**2
Factor 42/17*r**2 - 2/17*r**4 + 10/17*r**3 + 16/17 + 46/17*r.
-2*(r - 8)*(r + 1)**3/17
Let s = -115365 - -115621. Find j such that -1/4*j**2 - s + 16*j = 0.
32
Suppose -11*c + 59 = -12*c + 2*r, 279 = -5*c + 2*r. Let s = c - -59. What is l in 6/7*l**s - 6/7*l**3 + 0 + 0*l - 2/7*l**5 + 2/7*l**2 = 0?
0, 1
Determine n so that 1/2*n**4 + 39/2*n**2 + 7*n**3 - 27*n + 0 = 0.
-9, -6, 0, 1
Let l(f) = -2*f**4 + 3*f**3 + 27*f**2 - 8*f - 57. Let i(g) = g**4 - g**3 - 14*g**2 + 4*g + 28. Let x(z) = -9*i(z) - 4*l(z). Determine a, given that x(a) = 0.
-6, -1, 2
Factor 5/3*a**5 + 0*a**4 + 0*a**2 + 0 + 5/3*a - 10/3*a**3.
5*a*(a - 1)**2*(a + 1)**2/3
Let x(o) be the third derivative of o**5/90 + 61*o**4/36 - 476*o**3/9 - 2*o**2 - 287. Factor x(f).
2*(f - 7)*(f + 68)/3
Factor 21*a**2 - 222/5*a + 114/5*a**3 + 3/5*a**4 + 0.
3*a*(a - 1)*(a + 2)*(a + 37)/5
Suppose i = -5*d + 49, 5*d + 4*i - 47 = i. Factor 105*g**2 + 8*g**3 - 27*g**3 + d*g**3 + 18*g**3 + 39 - 153*g.
3*(g - 1)*(g + 13)*(3*g - 1)
Let x be 92560/15470 + 4/238. Factor 0*g + 3/4*g**4 + 0*g**2 - x*g**3 + 0.
3*g**3*(g - 8)/4
Let o(q) be the third derivative of 289*q**6/80 + 72*q**5/5 + 285*q**4/16 - q**3/2 + 185*q**2 - 1. Factor o(i).
3*(i + 1)**2*(289*i - 2)/2
Factor -1 + 1 + 232*a - 275*a**3 - 66*a**2 + 277*a**3.
2*a*(a - 29)*(a - 4)
Let h(r) = 9*r**2 + 40*r - 56. Let k(y) = -16*y**2 - 78*y + 115. Let t(q) = -14*h(q) - 8*k(q). Determine g, given that t(g) = 0.
-34, 2
Factor 8465*r + 8447*r - r**3 + 11*r**2 - 16935*r - 35.
-(r - 7)*(r - 5)*(r + 1)
Find w such that -276275 + 442*w + 666*w**4 - 3819*w**3 - 987*w**2 + 8493*w**2 + 274475 - 21*w**5 - 4270*w = 0.
-2/7, 2, 3, 25
Let u be (-7)/(-1 - (-5)/10). Suppose 133*s + u = 140*s. Let 10/3*i - 8/3*i**s - 4/3 + 2/3*i**3 = 0. Calculate i.
1, 2
Let i(b) be the third derivative of -b**7/280 + b**6/12 - 2*b**5/5 + 65*b**3/6 - 104*b**2. Let l(g) be the first derivative of i(g). What is k in l(k) = 0?
0, 2, 8
Factor -112/9 - 4/9*b**2 + 64/9*b.
-4*(b - 14)*(b - 2)/9
Let p(c) be the first derivative of 4*c - 2/3*c**3 + c**2 + 154. Determine g, given that p(g) = 0.
-1, 2
Let o = 1487 + -1464. Let c(d) be the first derivative of d**2 - 4/3*d**3 + 0*d + o. Factor c(y).
-2*y*(2*y - 1)
Let q(t) be the second derivative of -124/27*t**3 - 224/135*t**6 - 7/27*t**7 - 8/3*t**2 + 47/10*t**5 + 58*t - 1 - 1/27*t**4. Suppose q(h) = 0. What is h?
-6, -2/7, 1
Let d(f) be the second derivative of -f**6/360 - f**5/40 - f**4/12 - f**3/2 - f**2 - 15*f + 1. Let i(y) be the second derivative of d(y). Factor i(o).
-(o + 1)*(o + 2)
Let t(p) be the third derivative of -p**8/3360 + 39*p**7/700 - 1211*p**6/1200 + 1617*p**5/200 - 36*p**4 + 477*p**3/5 + 7*p**2 + 185. Solve t(b) = 0 for b.
2, 3, 106
Let s(h) = h**2 + 21*h + 6. Let x(b) = 15*b**2 + 295*b + 85. Suppose 38*n - 29*n + 765 = 0. Let k(f) = n*s(f) + 6*x(f). Factor k(u).
5*u*(u - 3)
Suppose -37 + 537*f**4 + 48*f**2 - 56*f**3 + 18 + 56*f - 33 - 533*f**4 = 0. What is f?
-1, 1, 13
Let v(h) be the third derivative of -20*h**2 + h - 1/36*h**4 - 11/180*h**5 + 0 + 0*h**3. Solve v(c) = 0 for c.
-2/11, 0
Let m(y) = -14*y**4 + 82*y**3 - 194*y**2 - 3662*y - 3462. Let c(w) = 4*w**4 - 27*w**3 + 65*w**2 + 1221*w + 1152. Let k(v) = 10*c(v) + 3*m(v). Factor k(a).
-2*(a - 7)*(a + 1)*(a + 9)**2
Facto