k**3 - 454*k**2 - 224*k + 368. Let u(r) = -2*r**4 + r**2 - r - 2. Let o(v) = -4*u(v) - w(v). Find s, given that o(s) = 0.
-5, -2, 2/3, 3
Suppose -102 = -5*r + x, -3 = -2*r + 26*x - 31*x. Let k(u) be the first derivative of r + 8/5*u + 2/15*u**3 + u**2. Factor k(b).
2*(b + 1)*(b + 4)/5
Let j(c) be the third derivative of 1/6*c**3 + 0*c + 1/48*c**4 - 1/120*c**5 + 0 - 68*c**2. Let j(a) = 0. What is a?
-1, 2
Let b(l) = -4*l**4 - 52*l**3 - 380*l**2 - 1108*l - 596. Let a(o) = o**3 + 2*o**2 - 9*o - 1. Let r(j) = 20*a(j) - b(j). Factor r(x).
4*(x + 1)*(x + 4)**2*(x + 9)
Let h(t) = 9*t + 2. Let r(s) = 24*s**2 - 43*s. Let y(v) = -6*h(v) + 2*r(v). Factor y(i).
4*(i - 3)*(12*i + 1)
Let i = 68 + -11. Let p = i - 54. Solve 5 - 5 - 3*n + 6*n**2 - p*n**2 = 0 for n.
0, 1
Factor -3/7*r**2 + 54/7*r - 135/7.
-3*(r - 15)*(r - 3)/7
Let l(x) be the third derivative of -x**6/540 - 137*x**5/270 - 1541*x**4/36 + 529*x**3/3 - 271*x**2 - x. Let l(i) = 0. Calculate i.
-69, 1
Let i(q) be the first derivative of q**5/15 + 13*q**4/4 - 41*q**3/3 + 125*q**2/6 - 14*q - 3568. Determine s so that i(s) = 0.
-42, 1
Let a(t) be the second derivative of -5*t**7/6 - 629*t**6/180 - 209*t**5/40 - 23*t**4/8 + t**3/36 - 8*t - 2. Solve a(u) = 0.
-1, 0, 1/210
Let p = -123 - -126. Suppose 1 = p*t - 4*t + g, 4*g - 8 = 3*t. Solve 27*m + 65*m + 676 + 12*m + t*m**2 = 0.
-13
Factor 2*h + 0 - 1/3*h**4 - 4/3*h**3 - 1/3*h**2.
-h*(h - 1)*(h + 2)*(h + 3)/3
Let u(j) be the first derivative of 5324*j**5/5 + 11011*j**4 + 3916*j**3 + 530*j**2 + 32*j - 785. Factor u(x).
4*(x + 8)*(11*x + 1)**3
Let k(j) be the third derivative of -1/120*j**6 + 1/2*j**4 + 0*j**5 + 0 - 8/3*j**3 + 39*j**2 + 0*j. Find d such that k(d) = 0.
-4, 2
Let c(x) = 7*x - 13. Let s be c(3). Factor 2*k**3 + 65*k**2 - s + 3*k - 11*k - 63*k**2.
2*(k - 2)*(k + 1)*(k + 2)
Suppose 7106*p**2 + 106*p + 1099*p - 7111*p**2 = 0. Calculate p.
0, 241
Let l(o) be the third derivative of 23*o**7/56 - 99*o**6/160 - 7*o**5/20 + 3*o**4/8 - o**2 - o - 729. Solve l(c) = 0.
-2/5, 0, 6/23, 1
Suppose -5*h + 3*m = 2*m - 22, -5*h - 3*m + 34 = 0. Factor -y**2 - 3*y**3 + 13*y**5 + 12*y**5 + 15*y**5 - 41*y**h - 3*y**4.
-y**2*(y + 1)**3
Let d(t) be the second derivative of -63 + 417/16*t**5 + 0*t**2 + 25/6*t**3 + 205/12*t**4 + t + 161/12*t**6 + 35/24*t**7. Determine g, given that d(g) = 0.
-5, -1, -2/7, 0
Find l such that 0 + 2/11*l**2 - 448/11*l = 0.
0, 224
Suppose -1514*m = -1511*m - 4*b - 32, -4*m + 11 = b. Factor 0*k**3 - k**m + 0 - 1/2*k**5 + k**2 + 1/2*k.
-k*(k - 1)*(k + 1)**3/2
Suppose -2*o - 3*p = -18, -o - 6 = -2*o - 3*p. Suppose -3*k + 18 = o. What is c in -9*c - 16*c - 29 + k*c**2 + 101 + c = 0?
6
Let m(p) = p**4 + p**3 - p**2 - p - 1. Let q(k) = 6*k**4 - 2*k**3 - 36*k**2 - 28*k - 4. Suppose 1041*j = 1048*j + 28. Let d(x) = j*m(x) + q(x). Factor d(o).
2*o*(o - 6)*(o + 1)*(o + 2)
Factor 1/6*n**2 - 5/2 + 7/3*n.
(n - 1)*(n + 15)/6
Let b(c) be the second derivative of -179*c**4/3 - 4*c**3/3 + 8*c - 26. Factor b(i).
-4*i*(179*i + 2)
Let y be -4 - 96/(-28) - 1140/(-35). Find g such that 278*g**4 + 36*g**5 - 587*g**2 + 1633*g**2 - 446*g**2 - 38*g**4 + 240*g + y + 580*g**3 = 0.
-2, -1/3
Let l(g) be the third derivative of -g**7/105 + 8*g**6/15 - 31*g**5/30 + 40*g**2 + 2*g - 19. Factor l(o).
-2*o**2*(o - 31)*(o - 1)
Let g be (-10)/6 - 2/(-2)*966/207. Factor 0*i - 7/6*i**4 + 4/3*i**g + 1/6*i**5 + 8/3*i**2 + 0.
i**2*(i - 4)**2*(i + 1)/6
Let f(b) be the first derivative of 0*b**4 + 0*b**3 - 4 + 1/160*b**6 + 6*b**2 + 1/80*b**5 + 0*b. Let a(l) be the second derivative of f(l). Factor a(s).
3*s**2*(s + 1)/4
Let p = 937 + -19676/21. Let i(t) be the second derivative of -13/10*t**5 + 2*t**4 - 12*t - 4/3*t**3 + 2/5*t**6 + 0 - p*t**7 + 0*t**2. Factor i(b).
-2*b*(b - 2)**2*(b - 1)**2
Let x(t) be the third derivative of 5*t**5/12 - 3805*t**4/8 - 2285*t**3/3 + 21*t**2 + 39. Determine m so that x(m) = 0.
-2/5, 457
Let f(p) be the first derivative of 78 - 44*p - 21*p**3 - 1/5*p**5 + 4*p**4 + 46*p**2. Find w, given that f(w) = 0.
1, 2, 11
Let q(r) be the third derivative of -1/1365*r**7 + 0*r + 0 - 127*r**2 + 1/65*r**5 + 2/39*r**4 + 1/13*r**3 + 0*r**6. Factor q(u).
-2*(u - 3)*(u + 1)**3/13
Determine n so that 6/11*n**3 + 344/11*n + 288/11 - 128/11*n**2 = 0.
-2/3, 4, 18
Suppose -5*s - 70 = 7*i, 5*i + 269 = 3*s + 219. Factor 3/5*d**3 + 0*d + s*d**2 + 0 + 0*d**4 - 3/5*d**5.
-3*d**3*(d - 1)*(d + 1)/5
Suppose 3021*z + 95*z**2 - 455*z**2 + 3*z**5 - 45*z**4 - 2829*z + 210*z**3 = 0. What is z?
0, 1, 2, 4, 8
Let z = 2245836/373 - 6021. Let n = 379/746 - z. Find d such that -n*d**3 - 1/2*d + 0 + d**2 = 0.
0, 1
Factor -3194*z**3 - 12920636649 + 6373*z**3 - 3182*z**3 - 14643*z**2 - 23824161*z.
-3*(z + 1627)**3
Let j(y) = 62*y**2 - 140*y - 8. Suppose 0 = -2*g - 449 + 441. Let z(p) = -63*p**2 + 137*p + 8. Let c(w) = g*z(w) - 3*j(w). Factor c(k).
2*(k - 2)*(33*k + 2)
Find p such that -2/7*p**2 + 2/7*p**5 + 0 - 2/7*p**3 + 0*p + 2/7*p**4 = 0.
-1, 0, 1
Let v = 178310 + -534928/3. What is w in 2/3*w**3 - 22/3 - v*w + 22/3*w**2 = 0?
-11, -1, 1
Let o(m) be the first derivative of 17 - 1/7*m**4 + 6/7*m + 6/35*m**5 - 4/7*m**3 + 1/21*m**6 + 1/7*m**2. Solve o(d) = 0.
-3, -1, 1
Let h(o) be the first derivative of -o**6/1260 - o**5/84 - o**4/21 + 73*o**3/3 - 89. Let b(v) be the third derivative of h(v). What is t in b(t) = 0?
-4, -1
Let y(q) be the second derivative of -q**8/2688 + q**6/320 + q**5/240 + 30*q**2 - 27*q + 1. Let u(o) be the first derivative of y(o). Let u(r) = 0. What is r?
-1, 0, 2
Let 752*a + 212064 + 2/3*a**2 = 0. What is a?
-564
Let z(b) be the first derivative of -2*b**3/21 - 148*b**2/7 - 42*b - 806. What is h in z(h) = 0?
-147, -1
Factor 0*w + 423/5*w**3 - 422/5*w**2 - 1/5*w**4 + 0.
-w**2*(w - 422)*(w - 1)/5
Let n be ((-790)/4)/((-8)/(-112)*-7). Factor -97*f + 5*f**2 + 137*f + 350 - n*f.
5*(f - 70)*(f - 1)
Let g(j) be the third derivative of -1/18*j**5 + 1/120*j**6 + 1/630*j**7 + 0 - 10*j**2 + 0*j + 0*j**3 + 0*j**4. Factor g(z).
z**2*(z - 2)*(z + 5)/3
Find f, given that 2*f**3 + 9680 + 108*f**2 + 2135*f + 331*f - 618*f = 0.
-22, -10
Let m(p) = 3*p**5 - p**2 - 1. Let o(l) = l**5 + 224*l**4 - 222*l**3 - l**2 - 1. Let f(z) = -2*m(z) + 2*o(z). Let f(b) = 0. What is b?
0, 1, 111
Let x = -14217 + 14219. Let w(u) be the second derivative of 3*u**3 - 20*u + 0 - 2/5*u**5 + 1/2*u**4 + 2*u**x. Let w(n) = 0. Calculate n.
-1, -1/4, 2
Let u(h) be the second derivative of -h**6/40 - 39*h**5/20 + 53*h**4/16 + 408*h. Factor u(s).
-3*s**2*(s - 1)*(s + 53)/4
Factor -166500074 + 1181044622 - 442537*z - 4*z**3 + 3036*z**2 - 4365731*z + 4560*z**2.
-4*(z - 633)**3
Let y be (-25)/((-150)/12) - 8/6. Let k(a) be the first derivative of 0*a + 1/3*a**4 + 36 + y*a**2 + 8/9*a**3. Determine v, given that k(v) = 0.
-1, 0
Let x(b) be the second derivative of b**4/3 - 30*b**3 + 468*b**2 + 1018*b. Solve x(t) = 0 for t.
6, 39
Let m = 78 + -4. Factor c**2 + 20 + m + 27 + 22*c.
(c + 11)**2
Let k = 59 + -58. Let p be k - -2 - (-9 - 4). Factor -2*b**4 - 4*b**2 + p*b**2 - 9*b**2 - b**4.
-3*b**2*(b - 1)*(b + 1)
What is n in 1066/3*n**2 + 22/3*n**4 + 48 - 506/3*n**3 - 244*n + 2*n**5 = 0?
-12, 1/3, 1, 6
Let h(c) be the second derivative of -1/36*c**4 - 79*c + 0 - 2*c**2 - 4/9*c**3. Let h(i) = 0. Calculate i.
-6, -2
Let m(r) be the third derivative of r**7/840 - 7*r**6/360 + 59*r**3/6 - 122*r**2. Let y(d) be the first derivative of m(d). Find s, given that y(s) = 0.
0, 7
Let u be 4/22 + (-1537)/11660. Let h(l) be the third derivative of -11*l**2 + 0*l**6 + 0*l**3 + 0*l + 0 + 0*l**4 + 1/70*l**7 - u*l**5. Factor h(p).
3*p**2*(p - 1)*(p + 1)
Let y(b) = -18*b**3 - 6*b**2 + 3*b**2 - 6 - 3*b**4 - 12*b - 22*b**2 - 9*b**2 + 7*b**2. Let r(q) = -1. Let m(n) = 6*r(n) - y(n). Determine d so that m(d) = 0.
-4, -1, 0
Suppose 3*j + 16*a - 24 = 20*a, 0 = a + 6. Let v(h) be the second derivative of j + 17*h + 5*h**4 - 3*h**2 + 63/20*h**5 - 3/2*h**3. Suppose v(r) = 0. What is r?
-1, -2/7, 1/3
Suppose b + 0*g - g - 34 = 0, 115 = 4*b + 3*g. Let i = -336 + 338. Solve b - 14*h**4 + 14*h**i + 6*h**3 + 4*h - 31 - 10*h**5 = 0 for h.
-1, -2/5, 0, 1
Let k = 2 + -47. Let p be 5/(k/(-18)) + 1. Solve -22/7*r**p - 2*r + 40/7*r**2 - 4/7 = 0 for r.
-2/11, 1
Let u(r) be the second derivative of 0 - 1/15*r**5 + 2/9*r**3 + 6*r + 22*r**2 - 11/3*r**4. Suppose u(