 + 22*x + 930*x**2 - 21 - 22*x**3.
(x - 21)*(x - 1)**2*(x + 1)
Let n(v) be the third derivative of v**6/80 - 4*v**5/5 - 35*v**4/16 + 33*v**3/2 - 1029*v**2 + 1. Let n(r) = 0. Calculate r.
-2, 1, 33
Let a be ((-3564)/5940)/(6/(-20)). Factor 1/4*v**a + 1 - v.
(v - 2)**2/4
Suppose 31*g + 5564*g**2 - 7*g - 5563*g**2 + 93*g = 0. What is g?
-117, 0
Suppose -5*z - 30 = -2*a, -105*a = -101*a - 5*z - 80. Let b(q) be the first derivative of 0*q**2 + 0*q + 2/39*q**3 - a. Factor b(r).
2*r**2/13
Let a(h) be the second derivative of -h**7/28 + 7*h**6/10 - 207*h**5/40 + 17*h**4 - 20*h**3 - 5*h + 452. Suppose a(i) = 0. What is i?
0, 1, 4, 5
Solve -174*d**3 - 126*d**4 - 330*d - 33*d**5 + 117*d + 6 + 204*d - 96*d**2 = 0 for d.
-1, 2/11
Let 3/2*d**2 + 1380 - 369/2*d = 0. What is d?
8, 115
Let j be ((-80)/50)/((1/4)/((-105)/168)). Let m(p) be the first derivative of 3/4*p**2 - 1/3*p**3 + j - 1/2*p. Find w such that m(w) = 0.
1/2, 1
Let n = -879222/11 + 79930. Factor n + 0*f - 2/11*f**2.
-2*(f - 2)*(f + 2)/11
Let r = -64 + 67. Let -8*k**3 + 0*k**3 - 16*k**r + 3*k**5 + 6*k**4 = 0. What is k?
-4, 0, 2
Suppose 5*c + 3*c + 96*c = 5*c. Let c + 0*i + 2/7*i**3 + 12/7*i**2 - 2/7*i**4 = 0. Calculate i.
-2, 0, 3
Let n(m) be the second derivative of 0*m**2 + m**5 + 92 + 13/3*m**4 - m - 4/5*m**6 + 4/3*m**3. Determine a, given that n(a) = 0.
-1, -1/6, 0, 2
Let j(i) be the third derivative of -i**5/60 + 625*i**4/12 - 390625*i**3/6 - 257*i**2 - 3. Factor j(o).
-(o - 625)**2
Let u(w) be the second derivative of -w**4/48 - 31*w**3/8 - 703*w**2/4 - 10*w - 43. Suppose u(j) = 0. Calculate j.
-74, -19
Factor -492/5 + 2*l**2 - 398/5*l.
2*(l - 41)*(5*l + 6)/5
Let d = -3593914 + 3593918. Let c be 3*1 + (-3 - -2). Suppose -c*x + 1/2*x**3 + d - x**2 = 0. Calculate x.
-2, 2
Suppose 104*y + 20 + 208*y + 22*y + 107*y - 61*y + 185*y**2 = 0. Calculate y.
-2, -2/37
Suppose -13*x - 100 + 1439 = 0. Let m be (x/412)/(3/2). Find c, given that 2/3*c + 2/3*c**2 + 0 - 1/6*c**4 - m*c**3 = 0.
-2, -1, 0, 2
Let c(d) be the second derivative of -d**7/42 + 23*d**6/75 - 21*d**5/25 + 5*d**4/6 - 7*d**3/30 + 1012*d. Solve c(q) = 0 for q.
0, 1/5, 1, 7
Suppose -126 = 1124*v - 1145*v. Let l(n) be the first derivative of -8/3*n**3 + 2/3*n**v - n**4 + 0*n - 14 + 8/5*n**5 + 0*n**2. Factor l(r).
4*r**2*(r - 1)*(r + 1)*(r + 2)
Let w(i) = 3*i**2 - 3*i - 7. Let m be w(-3). Let n be (0/3)/(-4) + m. Determine u so that -41*u + n*u - 5*u**3 + 5*u**4 - 15*u**2 - 10 + 37*u = 0.
-2, 1
Let v(k) = 12*k**2 + 234*k + 5202. Let t(x) = x**3 - 17*x**2 - x + 27. Let h be t(17). Let y(s) = -s**2 - 3*s. Let c(q) = h*y(q) + v(q). What is g in c(g) = 0?
-51
Let q(h) = h**3 + 2*h. Suppose -4*s + 3 = -5*g, 3*g + 3*s - s = 7. Let p(d) = -12*d**3 - 42*d**2 - 18*d. Let t(f) = g*p(f) + 4*q(f). Factor t(v).
-2*v*(v + 5)*(4*v + 1)
Suppose 5*g + 5 = 0, -2*g - 62 + 60 = -4*y. Let x(m) be the second derivative of 0*m**3 + 3/10*m**5 - 10*m + y - 1/4*m**4 + 0*m**2 - 1/10*m**6. Solve x(t) = 0.
0, 1
Let i(w) be the third derivative of 2*w**7/105 - 13*w**6/15 + 113*w**5/15 + 70*w**4/3 + 4824*w**2. Let i(p) = 0. What is p?
-1, 0, 7, 20
Let a(m) be the first derivative of -3*m**4/8 - 4*m**3 - 21*m**2/4 + 1944. Factor a(i).
-3*i*(i + 1)*(i + 7)/2
Let k = 1039 + -627. Suppose 68 = k*q - 395*q. Factor 16/5*f**3 + 2/5*f**q + 32/5*f**2 + 0 + 0*f.
2*f**2*(f + 4)**2/5
Suppose 0 + 0*d + 16/11*d**2 - 18/11*d**3 + 2/11*d**4 = 0. What is d?
0, 1, 8
Determine z, given that 4/5*z**2 - 26/5*z + 2/5*z**3 + 4 = 0.
-5, 1, 2
Let c(u) be the third derivative of -73*u**6/960 - 97*u**5/160 - 215*u**4/192 + u**3/16 - 6487*u**2. Determine j so that c(j) = 0.
-3, -1, 1/73
Let a = 9476291/13 - 728939. Factor 0 - 2/13*v**4 - a*v**3 - 960/13*v**2 - 1600/13*v.
-2*v*(v + 2)*(v + 20)**2/13
Suppose 2*i - 8*i = 366. Let t = 65 + i. Factor -10 + 20 - 4*s - t*s**2 - 10.
-4*s*(s + 1)
Let p(w) be the first derivative of -184/5*w**5 + 152/3*w**3 + 70/3*w**6 + 106 - 79*w**4 + 32*w + 88*w**2. What is t in p(t) = 0?
-1, -2/5, -2/7, 1, 2
Factor 40/3 - 4*v**2 - 82/9*v - 2/9*v**3.
-2*(v - 1)*(v + 4)*(v + 15)/9
Let v(x) = -6*x**2 - 48*x - 192. Let l(o) be the third derivative of -11*o**5/60 - 4*o**4 - 64*o**3 - o**2 - 6. Let n(r) = 3*l(r) - 5*v(r). Factor n(h).
-3*(h + 8)**2
Determine p so that -4*p**3 - 2525644 + 32*p**2 + 2525644 = 0.
0, 8
Factor -9/2*c**3 + 372*c**2 + 502*c + 168.
-(c - 84)*(3*c + 2)**2/2
Let s be 2/(-6)*(1 - 10). Suppose -s*f = l - 2, -3*f - 3*l + 0 = -6. Factor -3/5*a**2 + 12/5*a + f.
-3*a*(a - 4)/5
Suppose 13*b - 25*b = -12. Let c be -1 - 2*((-21)/6 + b). What is n in -5/3*n**c + 1/3*n**2 - 4*n**3 + 4/3 + 4*n = 0?
-2, -1, -2/5, 1
Let a(l) be the first derivative of -l**6/3 + 52*l**5/5 - 93*l**4/2 - 840*l**3 + 2700*l**2 + 3919. Determine i, given that a(i) = 0.
-6, 0, 2, 15
Let a = 0 - -4. Suppose -5 - 3 = -a*w. Factor -95*r**w + 93*r**2 - 3 + 7 + 2*r.
-2*(r - 2)*(r + 1)
Let v(s) be the first derivative of s**6/15 + 16*s**5/25 + 2*s**4/5 - 116*s**3/15 - s**2 + 20*s + 1520. Let v(f) = 0. Calculate f.
-5, -1, 1, 2
Let l(t) be the first derivative of 5*t**6/6 - 2*t**5 - 445*t**4/4 + 150*t**3 - 1518. Solve l(d) = 0.
-9, 0, 1, 10
Let f = -439/66 + 527/66. Let j(d) be the second derivative of -42*d - 1/4*d**4 - 2*d**2 - f*d**3 + 0. Factor j(n).
-(n + 2)*(3*n + 2)
Let i(m) be the first derivative of 132/5*m - 2/5*m**3 - 27/5*m**2 + 101. Let i(u) = 0. What is u?
-11, 2
Let k be 6/30*10 + -11 + 19. Let l(q) be the first derivative of -5/3*q**3 - 20*q + 17 + k*q**2. Find a such that l(a) = 0.
2
Find v such that 476/5 - 92/5*v**2 - 4/5*v**3 - 76*v = 0.
-17, -7, 1
Factor 94249/10*c + 0 + 307/5*c**2 + 1/10*c**3.
c*(c + 307)**2/10
Let a(g) be the third derivative of 2*g - 17/480*g**6 + 100*g**2 + 0 - 25/3*g**3 + 65/24*g**4 - 1/840*g**7 - 7/40*g**5. Solve a(p) = 0.
-10, 1, 2
Let d(u) = -8*u**3 - 2*u**2 - 9*u - 6. Let a be d(-2). Suppose 0 = -24*i + 28 + a. Find f, given that 8/3*f + 2/3*f**i - 16/15 - 34/15*f**3 + 4/5*f**2 = 0.
-1, 2/5, 2
Let s = 4837 + -483689/100. Let c(l) be the third derivative of -1/10*l**3 + 7*l**2 + 7/40*l**4 + 1/40*l**6 + 0 + 0*l - s*l**5. Factor c(i).
3*(i - 1)**2*(5*i - 1)/5
Suppose 31*t = 18 + 75. Let x(k) = -3*k**3 + 17*k**2 + 3*k - 19. Let f(i) = -2*i**3 + 18*i**2 + 2*i - 21. Let v(j) = t*x(j) - 2*f(j). What is h in v(h) = 0?
-1, 1, 3
Let z(i) = 32*i - 79. Let c be z(3). Suppose -3*o + 24 = 3*s, 0 = 2*o - s - c + 16. Factor 12/7*h**2 - 36/7*h + 0 - 1/7*h**o.
-h*(h - 6)**2/7
Let r(p) be the third derivative of 0*p - 7/720*p**6 + 1/5*p**5 + 0 - 13*p**2 + 19/48*p**4 - 11/18*p**3. Solve r(x) = 0.
-1, 2/7, 11
Find v, given that -40 + 2/3*v**2 + 118/3*v = 0.
-60, 1
Let l(y) = 6*y - 10. Let a be l(3). Let j be -3 + (a - 3) - -2. Factor 4*k**3 + 104 - 104 + j*k - 12*k**3 + 4*k**5.
4*k*(k - 1)**2*(k + 1)**2
Let 5/2*q**2 - 81/2 + 1/6*q**3 + 9/2*q = 0. Calculate q.
-9, 3
Let b(p) be the second derivative of 1/12*p**4 - 3*p + 8 - 8*p**2 - p**3. Solve b(l) = 0 for l.
-2, 8
Suppose 0*n - 1796 = -t - n, -5*n = 3*t - 5384. Let f = t - 8954/5. Factor -f*i - 162/5 - 2/5*i**2.
-2*(i + 9)**2/5
Let l(w) be the third derivative of -5*w**6/216 + 13*w**5/36 - 169*w**4/72 + 40*w**3/3 + 33*w**2. Let c(r) be the first derivative of l(r). Factor c(m).
-(5*m - 13)**2/3
Let n(k) be the third derivative of 1/2*k**5 - 16/3*k**3 + 0 + 1/105*k**7 + 16*k**2 + 2*k - 2/15*k**6 + 2/3*k**4. Solve n(f) = 0 for f.
-1, 1, 4
Let q be (-1582)/12 - (-3)/(-18). Let d be ((-4)/30)/(q/7128). Solve -66/5*r - 2*r**3 + d - 56/5*r**2 = 0 for r.
-3, 2/5
Let m(k) = -11*k - 106. Let l be m(-10). Factor 29 - 8*f**2 + 22*f**2 - 5*f**l + 10*f**4 + 50*f**3 + 151*f**2 + 200*f + 51.
5*(f + 1)**2*(f + 4)**2
Let t = -114 - -154. Factor 90*f**2 - 35*f**3 - 43*f - 22*f**4 + t - 57*f + 27*f**4.
5*(f - 2)**3*(f - 1)
Suppose 193*t - 24 - 24 = 109*t + 68*t. Factor 0*h + 9*h**2 - 141/2*h**t + 132*h**4 + 24*h**5 + 0.
3*h**2*(h + 6)*(4*h - 1)**2/2
Let q(r) be the third derivative of r**6/420 - 14*r**5/5 + 1372*r**4 - 1075648*r**3/3 - 2778*r**2. Factor q(y).
2*(y - 196)**3/7
Let v(x) be the third derivative of x**6/360 - 49*x**5/90 + 305*x**4/8 - 900*x**3 - x**2 + 2453. Determine g so that v(g) = 0.
8, 45
Let c = 1785/118 - 352615/21594. Let s = 8/61 - c. Let 1/3*j**4 + 2*j**3 + s + 13/3*j**2 + 4*j = 0. What is j?
-2, -1
Let x(b) b