 derivative of 1/4*v**5 - 38*v + 0 - 25/4*v**4 + 35/3*v**3 + 0*v**2. Factor u(z).
5*z*(z - 14)*(z - 1)
Let t = 1/1150 - -2297/3450. Let w(v) be the second derivative of 0 + 0*v**3 - 6/5*v**5 + 25/63*v**7 + 0*v**2 - 7*v - t*v**6 - 4/9*v**4. Factor w(c).
2*c**2*(c - 2)*(5*c + 2)**2/3
Suppose -5391*c - 8718*c**3 + 9165*c**4 - 5549*c**5 + 15182*c**5 + 4527*c - 9216*c**2 = 0. Calculate c.
-12/13, -2/19, 0, 1
Suppose -68*w + 49*w = -7315. Let b = -383 + w. Let -9/5*a**b + 12/5 - 3/5*a = 0. What is a?
-4/3, 1
Let u(l) be the first derivative of -13/12*l**2 + 7/6*l**3 + 13/24*l**4 - 11/3*l + 123 + 1/30*l**5. Determine t so that u(t) = 0.
-11, -2, -1, 1
Let f(x) be the second derivative of 25*x**7/42 + 23*x**6/6 + 27*x**5/4 + 15*x**4/4 + 2*x - 311. Solve f(g) = 0.
-3, -1, -3/5, 0
Let l = -32 - -22. Let j = 13 + l. Factor 101*f + 2*f**5 - 99*f + 9*f**j + 7*f**2 + 5*f**4 - f**5.
f*(f + 1)**3*(f + 2)
Let y(g) be the second derivative of 0*g**3 - 53*g - 86/15*g**6 - 483/5*g**5 + 0*g**2 - 2/21*g**7 - 147*g**4 + 2. Find p, given that y(p) = 0.
-21, -1, 0
Let u be 0 + 12 + (-1 - 0). Solve -4*q**3 + 6*q - q**3 - 11 - u*q**4 - q**3 + 12*q**4 + 8*q**2 + 2 = 0.
-1, 1, 3
Suppose 2 + 1 = 2*p - 3*i, 0 = 5*p + 5*i - 45. Suppose 5*g = p*g - 3. Let 2 - 11*d**g + 4*d - 12*d**3 - 2*d**4 + 27*d**3 - 8*d**3 = 0. Calculate d.
-1, 1
Factor -44*g + 2/5*g**4 - 68/5*g**3 - 216/5*g**2 - 74/5.
2*(g - 37)*(g + 1)**3/5
Solve 22/3 + 64/3*i - 5/6*i**3 + 43/6*i**2 = 0 for i.
-2, -2/5, 11
Let l(m) be the second derivative of -2*m**6/15 + 64*m**5/5 - 61*m**4 - 8*m**3/3 + 488*m**2 - 1997*m. Suppose l(q) = 0. Calculate q.
-1, 2, 61
Let w(s) be the first derivative of 2*s**3/3 - 16*s**2 - 34*s - 245. Solve w(y) = 0.
-1, 17
Factor 2*n**2 - 713019 + n**2 - 102*n + 713886.
3*(n - 17)**2
Let t be 46/14 + (-26)/91. Let v(g) = -5*g**4 - 10*g**3 - 3*g**2 + 3*g. Let k(j) = j**4 + j**2 - j. Let o(h) = t*k(h) + v(h). Find w such that o(w) = 0.
-5, 0
Let n be 8*-1*3/(-4). Let l be (-44)/(-242) + 62/22 + 0. Let -10*m + 6*m**3 + 5*m**4 - n*m**2 - l*m**4 - 4*m**3 - 4 = 0. What is m?
-1, 2
Let i(h) = -h**2 - 1829*h + 208021. Let o(j) = 2*j**2 + 2744*j - 312040. Let f(g) = -8*i(g) - 5*o(g). Determine a, given that f(a) = 0.
228
Let o = -2/3727 + 52208/55905. Let r(j) be the third derivative of o*j**7 + 16/3*j**3 + 0 - 20*j**2 - 22/3*j**4 + 6/5*j**5 + 119/30*j**6 + 0*j. Factor r(f).
4*(f + 1)*(f + 2)*(7*f - 2)**2
Let f(m) be the first derivative of m**5/10 + 2*m**4/3 + 5*m**3/3 + 2*m**2 - 67*m - 31. Let i(l) be the first derivative of f(l). Factor i(g).
2*(g + 1)**2*(g + 2)
Let b be 8/88 + 910/154. Let g(t) be the first derivative of -27*t**2 - 1/2*t**4 + 54*t + b*t**3 - 13. Factor g(h).
-2*(h - 3)**3
Let x(v) be the first derivative of -4*v**2 - 125 - 96*v + v**4 + 20/3*v**3. Factor x(o).
4*(o - 2)*(o + 3)*(o + 4)
Suppose -2 - 924 = -303*h - 17. Factor -1/3*o**4 + 17/3*o - 5/3*o**h + 10/3 + o**2.
-(o - 2)*(o + 1)**2*(o + 5)/3
Determine x so that -4681 + 0*x**2 + 1334*x - 4*x**2 - 85319 - 134*x = 0.
150
What is q in 498*q**3 + 165*q**3 - 471*q**4 + 1422*q + 2051*q**2 - 3*q**5 - 174*q**3 + 328*q**2 = 0?
-158, -1, 0, 3
Solve 3/5*k**3 - 504/5 - 159/5*k + 12/5*k**2 = 0.
-8, -3, 7
Let q(i) be the third derivative of -3*i - 1/1512*i**8 + 0*i**3 + 2/135*i**6 - 4*i**2 + 0 + 0*i**7 + 0*i**5 - 4/27*i**4. Factor q(w).
-2*w*(w - 2)**2*(w + 2)**2/9
Let o be (-153510)/(-267750) + (-2)/(-75). Factor 0*h**3 + 3/5*h**4 + 0 + 0*h**2 + o*h**5 + 0*h.
3*h**4*(h + 1)/5
Suppose 2*f - 3*n = -27, -6918*f = -6923*f - 11*n + 99. Factor 18/11*x**4 + 28/11*x + f + 240/11*x**3 - 166/11*x**2.
2*x*(x + 14)*(3*x - 1)**2/11
Let z(q) be the first derivative of 3*q**5/5 + 45*q**4 - 123*q**3 + 93*q**2 + 2832. Solve z(d) = 0 for d.
-62, 0, 1
Let o(s) be the first derivative of 109*s**6/7 + 310*s**5/7 + 355*s**4/14 - 30*s**3 - 230*s**2/7 - 16*s/7 - 1335. Solve o(p) = 0.
-1, -4/109, 2/3
Let b be (-270)/20*(-292)/3. Factor -1188*k**4 - 53*k - 128*k + 25*k + 865*k**2 - 216*k**5 + 9 - b*k**3.
-(k + 3)**2*(6*k - 1)**3
Let w(t) be the first derivative of 2*t**3/3 + 31*t**2/3 - 44*t/3 - 129. Solve w(b) = 0 for b.
-11, 2/3
Let r = 394 - 397. Let j be r/(-2)*(-58)/(-261). Factor 2/3*o - o**3 + 1/3*o**5 + 0 - j*o**2 + 1/3*o**4.
o*(o - 1)**2*(o + 1)*(o + 2)/3
Let d be (-1568)/(-2478) + (-2)/3 + (-482618)/(-27789). Determine o, given that -d + 154/3*o + 2*o**2 = 0.
-26, 1/3
Suppose 2/13*h**2 + 11144/13*h + 15523592/13 = 0. What is h?
-2786
Determine f, given that 75/4*f + 225/4*f**2 + 105/4*f**3 + 9/4*f**4 - 27/2 = 0.
-9, -2, -1, 1/3
Let w(j) = -2*j**2 - j + 1. Let u(k) = 25*k**2 + 50*k + 50. Let a be (15/(-9))/(3/(6 + 12)). Let q(x) = a*w(x) - u(x). Factor q(g).
-5*(g + 2)*(g + 6)
Let l(i) be the second derivative of 2 + i**3 + 8*i**2 - 1/30*i**5 + 42*i - 1/6*i**4. Let w(h) be the first derivative of l(h). Factor w(n).
-2*(n - 1)*(n + 3)
Solve -2/9*w**3 + 2/9*w**2 + 88/9*w + 64/3 = 0 for w.
-4, -3, 8
Let w(d) = 7*d**2 - 23*d - 56. Let t be w(-9). Let 719*p + t*p + 5*p**3 - 10*p**2 - 1432*p = 0. What is p?
0, 1
Factor -49729 + 3300*c - 1949*c - c**2 - 1797*c.
-(c + 223)**2
Let m(o) = 15*o - 7. Let j be m(-4). Let g = -53 - j. Factor 29*y**2 - g*y**2 - 5*y**3 - 19*y**2 - y**4.
-y**2*(y + 1)*(y + 4)
Factor -144/7 - 286/7*m - 20*m**2 + 2/7*m**3.
2*(m - 72)*(m + 1)**2/7
Factor 20*g**2 + 5*g**4 + 1230 + 60*g**3 + 1231 - 2461 + 25*g**2 - 110*g.
5*g*(g - 1)*(g + 2)*(g + 11)
Let c = -616803 + 1233619/2. Factor 0*k + 1/4*k**3 + c*k**2 + 0.
k**2*(k + 26)/4
Let v be 5/((-75)/(-6))*(-140)/(-14). Suppose -v*k + 0*k + 2*y = -2, -y - 1 = 4*k. Solve 2/9*x**3 - 4/9*x**4 + k + 2/9*x**5 + 0*x**2 + 0*x = 0 for x.
0, 1
Let m(q) be the first derivative of -31*q**6/1260 + 11*q**5/140 - q**4/42 - 28*q**3/3 - 47. Let j(i) be the third derivative of m(i). Factor j(x).
-2*(x - 1)*(31*x - 2)/7
Let y(g) be the second derivative of 5*g + 2 - 4*g**2 + 5/3*g**3 - 1/6*g**4. Determine f, given that y(f) = 0.
1, 4
Let o be (-312)/36*30/(-65). Let n(j) be the second derivative of 0*j**2 + 0 + 1/45*j**6 + 2/15*j**5 + 2/9*j**3 + 5/18*j**o + j. Solve n(w) = 0 for w.
-2, -1, 0
Factor -41 - 296*i - 12 - 221 - 21 - i**2.
-(i + 1)*(i + 295)
Let i(x) = x. Let r(d) = -6*d**2 - 4*d. Suppose 90*u - 147 = 87*u. Let g = -50 + u. Let l(o) = g*r(o) - 6*i(o). Find b, given that l(b) = 0.
0, 1/3
Suppose 2/7*d**3 + 270/7*d**2 - 544/7 - 276/7*d = 0. Calculate d.
-136, -1, 2
Let u be (288/(-120))/((-2)/5) + -4. Factor 20*g**3 - 20*g - 75*g + 62*g**2 - 20 + 3*g**u - 120*g**2.
5*(g - 4)*(g + 1)*(4*g + 1)
Let t be 4/(-6) + (-220)/(-231) - (-22)/(-77). Let a(u) be the first derivative of 0*u + t*u**2 + 1/9*u**4 + 35 - 4/27*u**3. Let a(v) = 0. What is v?
0, 1
Suppose 3*b + 2*r - 13 = 0, 27*r - 15 = 24*r. Let x(m) be the first derivative of 27/2*m**2 + 6*m + 5*m**3 - 27/4*m**4 - 21/5*m**5 - b. Solve x(v) = 0.
-1, -2/7, 1
Let h(n) be the first derivative of -4*n**3/3 + 2068*n**2 - 1069156*n - 2164. Determine q, given that h(q) = 0.
517
Let w(o) be the first derivative of 4*o**3/3 - 60*o**2 - 124*o - 907. Factor w(d).
4*(d - 31)*(d + 1)
Suppose -4*i = 5*b - 39, -5*b + 405 = 2*i + 378. Factor 2/5*k**2 + 4/5*k**b - 2/5 + 0*k**4 - 1/5*k**5 - 3/5*k.
-(k - 2)*(k - 1)*(k + 1)**3/5
Let h be 5 + 1 + (-2 - -1) + -3. Suppose -4*i = -0*p + 3*p - 35, 2*p - h*i - 42 = 0. Suppose -24 - 14*c**2 + p*c + 18*c**2 + 3*c = 0. What is c?
-6, 1
Let m be 7*-70*-2*(-36)/(-294). Factor 54*c + m + 115*c - 4*c**2 - c**2 - 54*c.
-5*(c - 24)*(c + 1)
Suppose 30*p - 98 = -8. Suppose -13 = p*v - 4, 3*j + v + 3 = 0. Let 0*g**3 - 4/5*g**2 + 2/5*g**4 + 2/5 + j*g = 0. What is g?
-1, 1
Let t(f) be the third derivative of 0*f - 1/70*f**5 - 88*f**2 + 0 + 4/21*f**3 - 1/420*f**6 + 0*f**4. Factor t(q).
-2*(q - 1)*(q + 2)**2/7
Let r = 2006/3 + -660. Let d = 4/1001 - -16004/3003. Find z, given that d*z + 8/9*z**3 + 8/9 + r*z**2 - 10/3*z**4 = 0.
-1, -2/5, -1/3, 2
Let w = 105 - 86. Suppose -w = -4*l - 3. Determine c, given that -l*c**2 + 5 + 3*c**2 + 1 - 10*c - 3*c**2 = 0.
-3, 1/2
Let -12*s - 3*s**4 + 14 + 30*s - 129*s**2 + 5 + 105*s**2 - 18*s**3 + 8 = 0. What is s?
-3, -1, 1
Let x(c) be the third derivative of -c**5/270 + 1397*c**4/54 - 1951609*c**3/27 + 1035*c**2 + 2*c. Factor x(b).
-2*(b - 1397)**2/9
Factor -96*j**3 + 168*j**2 + 198 + 90*j**3 - 63*j**2 - 2