(q) be the first derivative of 107*q**3/4 + 3*q**2/4 + 1036. Factor t(v).
3*v*(107*v + 2)/4
Let r be (12/30)/((-9)/75)*(-954)/848. Find f, given that -4*f - 1/2*f**3 - r*f**2 + 3 = 0.
-6, -2, 1/2
Find d, given that 326*d - 276724 + 162*d - 52*d**2 + 276148 = 0.
18/13, 8
Let t(p) = 33*p**2 + 3857*p + 1904. Let b(k) = -28*k**2 - 3856*k - 1908. Let o(q) = -5*b(q) - 4*t(q). Determine d so that o(d) = 0.
-481, -1/2
Let -72 - 69*o**3 + 343*o - 67*o - 66*o**2 + 66*o**4 - 45*o**4 = 0. What is o?
-2, 2/7, 2, 3
Let a(z) = -10*z**3 - 120*z**2 - 56*z + 6. Let r(c) = 21*c**3 + 242*c**2 + 104*c - 13. Let i(u) = 13*a(u) + 6*r(u). Factor i(f).
-4*f*(f + 1)*(f + 26)
Let t be (-24)/(-25 - 47)*30/8. Let x(g) be the second derivative of 5/72*g**4 + t*g**2 + 0 - 5/9*g**3 + 9*g. Suppose x(q) = 0. Calculate q.
1, 3
Let i = -114 + 118. Factor 49 - i*g**3 - g**2 + 44*g + 5*g**2 - 12*g**2 - 1.
-4*(g - 3)*(g + 1)*(g + 4)
Let v(p) be the second derivative of -5*p**4/12 + 55*p**3/6 + 150*p**2 - 13*p - 10. Factor v(j).
-5*(j - 15)*(j + 4)
Let a(v) be the first derivative of -v**3/12 - 931*v**2/2 - 866761*v + 1546. Factor a(j).
-(j + 1862)**2/4
Let w(r) be the first derivative of 9/2*r**2 - 3*r - 46. Let q(a) = -a**2 + 9*a - 4. Let y(v) = -3*q(v) + 4*w(v). Factor y(x).
3*x*(x + 3)
Let r(x) be the first derivative of -x**3/3 - 609*x**2/2 - 1818*x + 733. Find q, given that r(q) = 0.
-606, -3
Let o(f) be the first derivative of -f**6/18 - 13*f**5/30 - 29*f**4/24 - 11*f**3/9 + f**2/3 + 4*f/3 - 3350. Suppose o(r) = 0. Calculate r.
-2, -1, 1/2
Let w(a) be the first derivative of 16/3*a**2 + 157 - 2/9*a**3 + 24*a. Find l, given that w(l) = 0.
-2, 18
Factor 1147190*f**2 + 4780*f**3 - 212834 + 2280060*f + 1070246 + 280233 + 5*f**4.
5*(f + 1)**2*(f + 477)**2
Let m = 330695/40494 - -1/6749. Let l(b) be the first derivative of m*b**6 + 42/5*b**5 - 6 + 0*b - 10*b**4 - 9/2*b**2 - 14*b**3. Factor l(k).
k*(k - 1)*(k + 1)*(7*k + 3)**2
Let i(a) be the first derivative of 54*a**2 - 1/3*a**3 + 67 - 2916*a. Factor i(c).
-(c - 54)**2
Factor 5*k**2 + 106331 + 4285*k - 221472 + 110851.
5*(k - 1)*(k + 858)
Let g be -26 + -175 - (-1)/(-2)*6. Let f be (-6)/9 - 391/g. Factor -f*w**4 + 5*w**2 + 0*w**3 + 0 + 0*w.
-5*w**2*(w - 2)*(w + 2)/4
Let j = 26047633/44467395 + 14/92065. Let l = j - 1/69. Determine t so that 2/7*t**2 + 0 - 4/7*t - 2/7*t**4 + l*t**3 = 0.
-1, 0, 1, 2
Let n be (4/10 - (-2)/(-5))/(-1). Factor -40*p + 42*p - 3*p**4 + n*p**3 + 6*p**3 - 6*p**2 + p**4.
-2*p*(p - 1)**3
Let q(h) = -10*h + 4. Let f be q(0). Find g, given that -g**2 - 57*g + 2 - 4*g**f + 54*g + 3*g**3 + 2*g**4 + g**4 = 0.
-1, 1, 2
Factor 0 - 2/3*x**4 + 0*x - 4/3*x**2 - 2*x**3.
-2*x**2*(x + 1)*(x + 2)/3
Let o(s) = -s**2 + 1343*s - 12004. Let h be o(9). Factor 4/3*m + 0 + 8/3*m**h + 4/3*m**3.
4*m*(m + 1)**2/3
Suppose 11*o - 2235 = 295. Let 276*x - 4*x**5 - 72 - 45*x**4 - 89*x**3 - 4*x**4 + 93*x**4 - o*x**2 = 0. What is x?
-2, 1/2, 6
Let y(d) be the first derivative of -2*d**6/3 - 12*d**5/5 + 53*d**4 - 204*d**3 + 328*d**2 - 240*d + 211. Determine a, given that y(a) = 0.
-10, 1, 2, 3
Let s = 2 - 2. Let m = 1176515/13 + -90501. What is n in s - 2/13*n**2 + m*n = 0?
0, 1
Let r(m) be the second derivative of m**5/5 + 32*m**4 - 264*m**3 + 800*m**2 - 27*m + 186. Factor r(d).
4*(d - 2)**2*(d + 100)
Let v = -25702/21 - -7412/7. Let x = v - -496/3. Solve x*m**2 + 2/7*m + 0 = 0.
-1, 0
Let r = 4/859 + 5905/23193. Let g(o) be the second derivative of -r*o**4 + 4/9*o**2 - 10/27*o**3 + 25*o + 0. Let g(z) = 0. Calculate z.
-1, 2/7
Let i(d) = -d**3 - 12*d**2 - 32*d + 5. Let n be i(-5). Let r be 4/n + 132/330. Factor -6/11*s**3 + 0 + r*s**2 - 2/11*s**4 + 0*s.
-2*s**3*(s + 3)/11
Let c = -130439 + 130439. Find y such that -6/5*y**2 + 0 - 6/5*y**3 + c*y = 0.
-1, 0
Let j(z) be the third derivative of 20/21*z**7 + 5/24*z**4 + 5/6*z**5 + 0 + 0*z + 5/21*z**8 + 64*z**2 + 11/8*z**6 + 0*z**3. Factor j(p).
5*p*(p + 1)**2*(4*p + 1)**2
Let p(y) be the second derivative of -y**5/4 - 5*y**4/4 + 15*y**3 - 672*y. Find s such that p(s) = 0.
-6, 0, 3
Let c be (596/(-42) + (-2)/14)*-3. Factor c*x + 3*x**2 + 6075 + 198*x + 4*x + 0*x**2 + 25*x.
3*(x + 45)**2
Suppose 4*k - l = 41 - 103, -5*k - 85 = -5*l. Let p be 3 + (-3 - (-5)/(k/(-6))). Factor 28*c**5 - 3*c**4 - c**3 + 3*c**p - 15*c**5 - 14*c**5 + 2*c.
-c*(c - 1)*(c + 1)**2*(c + 2)
Let m be 13 - -8*9/(-12) - (-9 - -13). Let v = 3871/1724 - -2/431. Determine c, given that -v*c**m + 39/8*c**2 + 3/8*c**4 - 9/2*c + 3/2 = 0.
1, 2
Let h(o) be the first derivative of -25*o**6/6 + 12*o**5 + 85*o**4/2 - 145*o**2/2 - 60*o + 1845. Find a, given that h(a) = 0.
-1, -3/5, 1, 4
Suppose -2/3*z**2 + 28/3 - 10/3*z = 0. Calculate z.
-7, 2
Let m be (-2)/35 + 50949/279720. Factor m*l + 0 - 3/8*l**2 - 1/8*l**4 + 3/8*l**3.
-l*(l - 1)**3/8
Let t = 1 + -1. Let o be (-9)/468*-12 - 1435/29315. Suppose t*r + 0 - 12/11*r**2 - o*r**3 = 0. What is r?
-6, 0
Let z(w) be the second derivative of w**7/35 + 43*w**6/50 + 39*w**5/25 - 157*w**4/20 + 6*w**3 + 11593*w. Find l such that z(l) = 0.
-20, -3, 0, 1/2, 1
Factor 8/3*p**2 + 2*p - 3 + 1/3*p**4 - 2*p**3.
(p - 3)**2*(p - 1)*(p + 1)/3
Suppose 4*y - 63 - 28 = r, 2*y + 4 = -4*r. Let -92/3*o + 40/3 - 4/3*o**3 + y*o**2 - 4/3*o**4 = 0. What is o?
-5, 1, 2
Let r(h) = -h**2 - h. Let f(a) = 10*a**2 + 8*a - 8. Let y(x) = f(x) + 3*r(x). Let p be y(2). Factor 41 - 11 + 5*o - p*o**2 - 8*o**3 + 3*o**3.
-5*(o - 1)*(o + 1)*(o + 6)
Let x(v) = v**3 + 32*v**2 - 3*v - 95. Let r be x(-32). Suppose -9 = -5*a - o, -5*a + 6 = 5*o + r. Factor -2/9 - 4/9*s - 2/9*s**a.
-2*(s + 1)**2/9
Let c(k) be the first derivative of -k**7/420 + 7*k**6/240 - k**5/12 + 96*k**2 - 184. Let w(x) be the second derivative of c(x). Factor w(m).
-m**2*(m - 5)*(m - 2)/2
Let u = 108 + -164. Let h be ((-2)/(-4))/((-14)/u). Factor -3*s**2 + 0*s + s - 11*s + 8 + 5*s**h.
2*(s - 4)*(s - 1)
Let g(f) = 2*f**2 - 901*f - 19801. Let c be g(-21). Find m such that 2/3*m**c - 4/3*m + 0 = 0.
0, 2
Let z be (-23118)/(-9) + 1 + 2/6. Suppose -26*g = -31*g + z. Suppose -513*r + 0 - r**2 + 0 + g*r = 0. Calculate r.
0, 1
Let s(y) be the second derivative of -1/2*y**3 - 85*y + 1/3*y**4 + 1 - 1/12*y**5 + 1/3*y**2. Factor s(d).
-(d - 1)**2*(5*d - 2)/3
Suppose -4*w = -w + r - 2, 0 = -3*w - 3*r - 6. Factor 4*u**2 + w*u**3 + 97*u - 198*u + 105*u + 2*u**2.
2*u*(u + 1)*(u + 2)
Let x(z) be the second derivative of -44*z - 22/9*z**3 + 0 + 0*z**2 - 1/9*z**4. Solve x(k) = 0.
-11, 0
Suppose 44*i = 10*i + 11594. Let w = -1018/3 + i. What is j in w*j**4 - 5*j**3 + 0 - 10/3*j + 5/3*j**5 - 25/3*j**2 = 0?
-1, 0, 2
Let i(t) = -65*t**2 + 6435*t - 12370. Let b(g) = -15*g**2 + 1485*g - 2854. Let l(q) = -30*b(q) + 7*i(q). Find y such that l(y) = 0.
2, 97
Let p(w) be the first derivative of 39*w**3 - 1197/2*w**2 - 3/4*w**4 + 1083*w + 92. Suppose p(l) = 0. Calculate l.
1, 19
Let b(y) be the second derivative of -y**5/4 - 5*y**4/12 + 40*y**3/3 - 50*y**2 - 2*y + 226. Factor b(d).
-5*(d - 2)**2*(d + 5)
Let u(a) be the first derivative of a**5/30 + a**4/4 + 2*a**3/3 + 4*a**2 - 2*a + 90. Let r(c) be the second derivative of u(c). Suppose r(h) = 0. What is h?
-2, -1
Let f(r) be the third derivative of 7*r**6/72 + 31*r**5/6 - 15*r**4/2 - 5*r**3/2 + 2*r**2 + 38. Let o(x) be the first derivative of f(x). Factor o(j).
5*(j + 18)*(7*j - 2)
Suppose -2*d = g - 3 - 23, -2*g - 44 = -4*d. Factor 17 - 13 - 34*i - 2*i**3 + 10*i**2 + d + 10*i**2.
-2*(i - 8)*(i - 1)**2
Let d be 1/(18/4) + 1035/(-6480). Let t(g) be the second derivative of 0*g**2 + 0 + d*g**4 - 3*g + 0*g**3 - 3/32*g**5. Factor t(s).
-3*s**2*(5*s - 2)/8
Suppose 14 = 3*c + 20. Let q(f) = f. Let n(j) = -j**2 + 5*j - 8. Let m(g) = c*n(g) - 2*q(g). Factor m(z).
2*(z - 4)*(z - 2)
Let s(a) be the first derivative of a**5 + 5*a**4/2 - 5*a**3 + 1447. Factor s(d).
5*d**2*(d - 1)*(d + 3)
Suppose -j - 3300 = -6*j. Suppose -12*d + d + j = 0. Factor 6*b**4 - 5 - d*b**2 + 3*b**3 - 21*b - 1 + 42*b**2.
3*(b - 2)*(b + 1)**2*(2*b + 1)
Let q(h) be the first derivative of 20/27*h**3 + 2/9*h + 2/9*h**5 - 1/27*h**6 - 5/9*h**4 - 5/9*h**2 - 199. Factor q(w).
-2*(w - 1)**5/9
Let k = 7399/3 - 2466. Let l(b) be the first derivative of 0*b + 6*b**4 + 16/3*b**3 + 0*b**2 + k*b**6 + 12/5*b**5 + 13. Factor l(y).
2*y**2*(y + 2)**3
Let u(o) be the third derivative of -5*o**8/28 - 