7/4*v**3 - 19/4*v**2 + 0 = 0. What is v?
-3, 0, 2/7
Suppose 40*l - 8 = 36*l. Suppose -4*y - 125 = -5*i, -i - l*i + 75 = -5*y. Factor 2*p**2 + p**2 - 26*p**4 + i*p**4 + 2*p.
-p*(p - 2)*(p + 1)**2
Let w(p) be the third derivative of -p**7/42 - 329*p**6/24 + 1933*p**2. Factor w(l).
-5*l**3*(l + 329)
Let a(q) be the third derivative of 65/8*q**4 - 262*q**2 + 0*q + 23/10*q**5 + 0 - 1/20*q**6 + 25/2*q**3 - 1/10*q**7 + 1/112*q**8. Factor a(p).
3*(p - 5)**2*(p + 1)**3
Determine v so that 98/13*v - 2/13*v**5 - 28/13*v**4 + 0 + 28/13*v**2 - 96/13*v**3 = 0.
-7, -1, 0, 1
Let k(g) be the second derivative of -g**7/294 - g**6/30 + 43*g**5/70 - 43*g**4/21 - 20*g**3/21 + 16*g**2 + 2*g - 735. Determine b, given that k(b) = 0.
-14, -1, 2, 4
Let t(h) be the third derivative of h**6/24 - h**5/3 - 175*h**4/6 - 2*h**2 - 47*h + 3. Solve t(i) = 0.
-10, 0, 14
Let q(c) be the second derivative of c**4/12 + 209*c**3/3 + 43681*c**2/2 - 17*c - 9. Factor q(v).
(v + 209)**2
Let l(q) = q**2 + 3*q - 5. Let d be l(-5). Factor 8*t**4 + 5*t**d - 60*t + 29 + 7*t**4 - 29 - 45*t**3 - 115*t**2.
5*t*(t - 3)*(t + 1)**2*(t + 4)
Let t(v) be the second derivative of -v**4/4 - 1727*v**3 - 8947587*v**2/2 + 7*v + 338. Solve t(r) = 0.
-1727
Let w(g) be the third derivative of 0 - 5/4*g**4 + 35*g - 1/60*g**5 - g**2 - 75/2*g**3. Factor w(d).
-(d + 15)**2
Let j(y) = -y**3 - 10*y**2 - 9*y - 1. Let x be j(-9). Let n be 0 + (1 - (3 + -3 + x)). Factor -2*c - 4 + c + 2 + 2*c + c**n.
(c - 1)*(c + 2)
Suppose 1/5*v**3 - 9*v + 0 - 4/5*v**2 = 0. What is v?
-5, 0, 9
Let s(g) be the first derivative of g**6/15 - 6*g**5/5 - 17*g**4/10 + 2*g**3 + 16*g**2/5 + 1924. Let s(n) = 0. Calculate n.
-1, 0, 1, 16
Suppose 12 + 4 = 8*x. Factor -57*u**3 + 54*u**3 - 7*u**x + 18*u + 2*u**2 - 10*u**2.
-3*u*(u - 1)*(u + 6)
Factor -2233*l**2 - 1000 + 1518*l**2 - 853*l - 877*l + 15*l**3.
5*(l - 50)*(l + 1)*(3*l + 4)
Factor -556*d**2 + 354245 + 446*d + 111*d**2 - 354246.
-(d - 1)*(445*d - 1)
Let t = 8332611/5 - 1666519. Factor -2*a**3 + 1/5*a**5 - 14/5 - t*a**2 + 33/5*a + 6/5*a**4.
(a - 1)**3*(a + 2)*(a + 7)/5
Let j(i) be the second derivative of -i**5/130 - 6*i**4/13 - 63*i**3/13 - 270*i**2/13 - 1411*i. Factor j(m).
-2*(m + 3)**2*(m + 30)/13
Let a(r) be the third derivative of r**8/5040 + r**7/180 + r**6/18 - 4*r**5/15 + 2*r**2 - 18. Let n(k) be the third derivative of a(k). Factor n(l).
4*(l + 2)*(l + 5)
Let o be 7 - (-2 - (-14 + 8)). What is l in 295*l + 240*l - 11163 - o*l**2 - 169*l = 0?
61
Let t = -109 + 197. Factor -83*b - 67*b - t + 4*b**2 + 66*b.
4*(b - 22)*(b + 1)
Let m = -10297 - -10315. Let q(r) be the second derivative of -5/6*r**4 - 1/10*r**5 - m*r + 1/3*r**3 + 0 + 5*r**2. Factor q(k).
-2*(k - 1)*(k + 1)*(k + 5)
Let t(d) be the first derivative of -2*d**3/27 + 577*d**2/9 - 128*d - 3351. Factor t(v).
-2*(v - 576)*(v - 1)/9
Suppose -24*j = -j - 46. Factor -36*r - 5*r**3 - 39*r - 62*r**2 + 45 - 20*r + 117*r**j.
-5*(r - 9)*(r - 1)**2
Let c be (6/15)/((-7)/4*(-58)/1015). Let b(p) be the third derivative of -1/360*p**6 + 0 - 5/24*p**c - 1/2*p**3 + 0*p + 4*p**2 - 7/180*p**5. Factor b(d).
-(d + 1)*(d + 3)**2/3
Find s such that 1152/7*s**2 - 6/7*s**5 + 0 + 138/7*s**4 + 0*s - 744/7*s**3 = 0.
0, 3, 4, 16
Suppose -6*d**3 + 42 - 122 - 481*d**2 - 204*d + 351*d**2 = 0. What is d?
-20, -1, -2/3
Let d(z) = -z**3 + 2*z**2 - 2*z + 3. Let k be d(3). Let n be ((-3)/6 + (-6)/k)*-1. Determine q so that 0*q**2 + n*q + 4/7*q**4 + 2/7*q**5 - 6/7*q**3 + 0 = 0.
-3, 0, 1
Suppose 0 = 10*t - 11*t. Suppose t = -14*d + 11*d + 6. Find z, given that 8 - 1 - z - z**d - 5 = 0.
-2, 1
Determine j, given that 3*j**4 + 21956*j**2 - 10972*j**2 - 10972*j**2 - 15*j**3 = 0.
0, 1, 4
Let l be -805 + (4 - -7) + -9. Let z = l - -805. Factor 0 + 0*h - 2/7*h**4 + 2/7*h**3 + 2/7*h**z - 2/7*h**5.
-2*h**2*(h - 1)*(h + 1)**2/7
Let p(v) be the second derivative of -v**6/105 - v**5/35 + 61*v**4/14 + 212*v**3/3 + 448*v**2 - 8249*v. Let p(w) = 0. What is w?
-7, -4, 16
Let m = -213861 - -213864. Suppose 12/13*w**2 - 2/13*w**4 - 16/13 - 2/13*w**m + 8/13*w = 0. Calculate w.
-2, 1, 2
Suppose 7*r = 6*r + 17. Let m(o) be the second derivative of 0 - r*o + 2*o**2 - 1/3*o**3 - 1/6*o**4. Find d, given that m(d) = 0.
-2, 1
Let q be (8/12 - -2)*3. Suppose -3*g + g = -q. Suppose -g*t**5 + 4*t**2 - 92 + 4*t**3 - 4*t**4 + 92 = 0. Calculate t.
-1, 0, 1
Suppose -5*p = 5*n - 120, 6 = p - 2*n - 36. Let z(t) be the second derivative of 0*t**2 + 1/10*t**6 + 0 - t**3 + 5/4*t**4 - p*t - 3/5*t**5. Factor z(d).
3*d*(d - 2)*(d - 1)**2
Let l(y) be the first derivative of -2*y**3/57 - 74*y**2/19 - 146*y/19 - 2813. Factor l(q).
-2*(q + 1)*(q + 73)/19
Let d(q) be the first derivative of -20/3*q + 2/27*q**3 + 13/9*q**2 + 11. Factor d(j).
2*(j - 2)*(j + 15)/9
Let v(m) be the third derivative of -m**5/36 + 235*m**4/36 - 155*m**3/6 + 2*m**2 - 32. Factor v(j).
-5*(j - 93)*(j - 1)/3
Let h(q) be the second derivative of q**6/135 + 7*q**5/90 + 8*q**4/27 + 4*q**3/9 + 5100*q. Determine r so that h(r) = 0.
-3, -2, 0
Let p(o) = 5*o**2 - 325*o + 20. Let q(d) = 4*d**2 - 325*d + 18. Let m(i) = -9*p(i) + 10*q(i). Suppose m(j) = 0. Calculate j.
-65, 0
Let x(p) be the third derivative of -p**5/330 - 97*p**4/132 - 1360*p**3/33 - 1755*p**2 - 1. Find s, given that x(s) = 0.
-80, -17
Suppose -5*g - 4*j + 352 = 0, 0 = g - 5*g + 2*j + 266. Factor -40*u**4 - 153*u**3 - 305*u**2 - 2*u**4 + 89*u**2 - g*u**3 + 41*u**3 - 3*u**5.
-3*u**2*(u + 2)*(u + 6)**2
Let f(i) = 80*i**3 - 205*i**2. Let a be (-7 + (-90)/(-6))/(-1*2). Let g(y) = -13*y**3 + 34*y**2. Let q(w) = a*f(w) - 25*g(w). Find n such that q(n) = 0.
0, 6
Let k(p) = -p**2 + 5*p + 18. Let u be k(7). Let c(m) = -m**3 + 3*m**2 + 3*m + 7. Let d be c(u). Factor 3/2 - 1/2*g + 1/2*g**d - 3/2*g**2.
(g - 3)*(g - 1)*(g + 1)/2
Let l be (-20)/(-3)*-6*-1. Suppose -3*x - 2*h = -7*h - 24, -5*x - h = -l. Factor x*r**2 - 5*r**2 - 4*r + 4*r.
3*r**2
Let j(q) = -20*q**3 - 786*q**2 - 3166*q - 3178. Let z(i) = 11*i**3 - i + 1. Let a(c) = -j(c) - 2*z(c). What is v in a(v) = 0?
-2, 397
Factor -1/7*j**3 + 135/7 - 3/7*j - 11/7*j**2.
-(j - 3)*(j + 5)*(j + 9)/7
Suppose 12*o = 52 - 16. Let h be (1/(-1))/(o/(-9)). Suppose 4 - 4 - 10*n**2 + n + 6*n + h = 0. Calculate n.
-3/10, 1
Let w = 10894 + -10894. Let z(t) be the third derivative of w*t + 25/72*t**4 + 0 - 5/3*t**3 + 1/18*t**5 + 19*t**2 - 1/72*t**6. Let z(n) = 0. Calculate n.
-2, 1, 3
Let o be -6*2/39 + (-103)/((-241020)/6960). Factor -2/3*u**3 - o*u**2 + 8/3 + 2/3*u.
-2*(u - 1)*(u + 1)*(u + 4)/3
Suppose 0 = -8*h - 3*h + 99. Suppose 6*s**2 - 25*s**2 + 8*s**2 + h*s**2 + s**3 + s = 0. Calculate s.
0, 1
Let f be 887/35 + (-5 - -6). Let w = 190/7 - f. What is z in z - 2/5 - 1/5*z**5 - 2/5*z**2 + w*z**4 - 4/5*z**3 = 0?
-1, 1, 2
Let y(b) be the first derivative of 10/39*b**3 + 1/26*b**4 + 0*b**2 + 79 + 0*b. Let y(x) = 0. Calculate x.
-5, 0
Let s be 2 + -12 - 13/(156/(-72)). Let g = -11 + 8. Let f(o) = 8*o**2 - 16*o + 4. Let b(j) = -7*j**2 + 15*j - 5. Let d(m) = g*f(m) + s*b(m). Factor d(k).
4*(k - 2)*(k - 1)
Let d(m) be the first derivative of 1134225*m**4/2 - 529660*m**3/3 + 2876*m**2 - 16*m - 936. Solve d(l) = 0.
2/355, 2/9
Let b(h) be the second derivative of h**5/50 + 301*h**4/30 + 599*h**3/15 + 299*h**2/5 + 2315*h. Factor b(k).
2*(k + 1)**2*(k + 299)/5
Let u(d) be the third derivative of -d**6/480 - d**5/30 - d**4/8 + 2*d**2 + 8*d + 227. Factor u(j).
-j*(j + 2)*(j + 6)/4
Find j such that -3/5*j**2 + 225 + 6*j = 0.
-15, 25
Let n(h) = 2*h**3 + 7*h**2 - 7. Let b be 2*((-4)/(-8) - 2). Let v be n(b). Solve -26*m**3 + 25*m**3 - 2*m + 0*m**2 - 3*m**v = 0 for m.
-2, -1, 0
Let j(d) be the first derivative of d**4/4 - 64*d**3/3 - 199*d**2/2 - 134*d + 1126. Factor j(z).
(z - 67)*(z + 1)*(z + 2)
Factor 3*q**4 - 7488*q**2 + q**4 - 405*q + 3*q**4 - 2*q**4 - 75*q**3 + 7803*q**2.
5*q*(q - 9)*(q - 3)**2
Factor -102*l**2 - l**3 + 10*l + 267*l + 4*l**3 + 170*l - 348.
3*(l - 29)*(l - 4)*(l - 1)
Let j be (-1950)/(-330)*2/(-18)*1. Let y = 1/99 - j. Factor -y*u**2 + 0 + 0*u.
-2*u**2/3
Let l = -478621/21 + 22787. Let v = l - -491/105. Find u such that 2/5 + v*u**2 - 3/5*u = 0.
1, 2
Suppose 0 = -2*v - 4*q + 60, 2*v - 6 = 5*q + 9. Let u be (v/(-3))/(-2)*(-12)/(-10). Factor 6*c + 27*c**4 - 6*c**u - 6*c**3 - 10*c**4 - 3*c**2 - 8*c**4.
3*c*(c - 2)*(c - 1)*(c + 1)
Let o = -43