 - 907*l**4/14 - 4728*l**3/7 + 1620*l**2/7 + 286. Solve x(v) = 0 for v.
-9, 0, 2/9, 10
Let f(q) be the third derivative of q**5/15 - 1153*q**4/3 + 2658818*q**3/3 + 3*q**2 - 480. Determine b, given that f(b) = 0.
1153
Let w = 11477 - 126245/11. Let 32/11 + w*n**4 + 80/11*n + 6*n**2 + 20/11*n**3 = 0. Calculate n.
-4, -1
Suppose 40*l**4 + 315*l**5 + 20*l**3 - 160*l**2 + 336*l**5 - 656*l**5 = 0. What is l?
-2, 0, 2, 8
Let n(q) be the second derivative of q**6/36 - 49*q**5/24 - 175*q**4/24 + 85*q**3/4 - 6006*q. Factor n(w).
5*w*(w - 51)*(w - 1)*(w + 3)/6
Suppose -44*d + 485 = 397. Let v(i) be the second derivative of 3/2*i**d + 5/2*i**3 + 0 + 25/16*i**4 - 2*i. Determine q so that v(q) = 0.
-2/5
Solve -1/5*u**5 + 2*u**3 - 32/5 - 52/5*u**2 + 72/5*u + 3/5*u**4 = 0 for u.
-4, 1, 2
Suppose 34*l + 381*l - 5052 = -848*l. Solve 8/3*q**l + 0*q + 0 + 10/3*q**3 + 2/3*q**5 + 4/3*q**2 = 0 for q.
-2, -1, 0
Let y(f) be the third derivative of -f**5/20 + 469*f**4/8 - 234*f**3 - 4703*f**2. Factor y(o).
-3*(o - 468)*(o - 1)
Let v(b) be the third derivative of 2*b**2 + 1/490*b**7 + 0 - 1/70*b**5 + 9/14*b**3 + 3/14*b**4 - 1/70*b**6 - 11*b. Determine w so that v(w) = 0.
-1, 3
Let j(g) be the second derivative of -5*g**4/36 + 955*g**3/18 - 475*g**2/3 - 183*g. What is m in j(m) = 0?
1, 190
Let h(v) = 65*v + 3967. Let r be h(-61). Let b(q) be the second derivative of -1/6*q**4 + 8/15*q**3 - 21*q + 1/50*q**5 + 0 - 4/5*q**r. Let b(i) = 0. What is i?
1, 2
Let a(x) = -x**3 + 3*x**2 - 100*x + 200. Let m be a(2). Determine w so that 10/7*w**2 + 6/7*w**3 - 8/7 - 6/7*w - 2/7*w**m = 0.
-1, 1, 4
Suppose -61*u - 12 = -67*u. Factor 24976*x**2 - 3*x**4 - 24982*x**2 + 5*x**3 + u*x**4.
-x**2*(x - 3)*(x - 2)
Let c(m) = -12*m + 372. Let t = -1237 + 1268. Let n be c(t). Factor -1/2*k**3 - 1/5*k**5 + n*k**2 + 0 - 11/10*k**4 + 0*k.
-k**3*(k + 5)*(2*k + 1)/10
Suppose 3*z + a + 789 = -z, 0 = -3*z - a - 593. Let m = z + 982/5. Factor m*w + 4/5*w**2 - 2/5*w**3 - 4/5.
-2*(w - 2)*(w - 1)*(w + 1)/5
Let l(i) = -i**2 + 29*i - 64. Let h be l(26). Suppose -15*p + 1578*p**2 - 1575*p**2 - h - 28 = 0. Calculate p.
-2, 7
Let q(t) be the second derivative of t**6/10 - 39*t**5/20 + 33*t**4/4 - 31*t**3/2 + 15*t**2 + 853*t. Find u such that q(u) = 0.
1, 10
Suppose -4*m = -m - 9. Let d be 20/m*(-15)/(-10). Let 8*l + l**2 + 0*l - d*l = 0. Calculate l.
0, 2
Let n(r) be the first derivative of -9*r**6/11 - 864*r**5/55 - 1368*r**4/11 - 17120*r**3/33 - 1200*r**2 - 16000*r/11 + 2451. Determine m so that n(m) = 0.
-4, -10/3, -2
Let q(g) be the first derivative of -g**6/40 - 3*g**5/80 + g**4/16 + g**3/8 + 11*g - 28. Let j(f) be the first derivative of q(f). Find i, given that j(i) = 0.
-1, 0, 1
Factor 746 + 24*m**3 + 3460*m**2 + 2403*m - 5878*m - 4*m**3 + 124.
5*(m + 174)*(2*m - 1)**2
Let g(w) = -2*w**3 + 47*w**2 - 23*w + 2. Let t be g(23). Factor 135*h - 3681 + 3*h**t + 3681.
3*h*(h + 45)
Let d(z) be the first derivative of 3*z**6/10 + 3*z**5/20 + 49*z + 57. Let h(v) be the first derivative of d(v). Factor h(m).
3*m**3*(3*m + 1)
Suppose 5*r - 935 = -2*u, -5*u + 157*r + 2378 = 156*r. Factor u*m**4 + 48 + 0*m**3 - 46*m**2 - 477*m**4 - 50*m**3 + 50*m.
-2*(m - 1)*(m + 1)**2*(m + 24)
Let c be (2 + -1 - -1)*(24 - 5). Find v such that 1340*v + 3 - 10*v**2 - c - 1265*v = 0.
1/2, 7
Let s = 1348 + -76834/57. Let z(v) be the third derivative of -1/570*v**5 - 1/76*v**4 + 0 + 15*v**2 + 1/380*v**6 - 1/1995*v**7 + 0*v + s*v**3. Solve z(w) = 0.
-1, 1, 2
Let y(b) be the second derivative of -5*b**4/12 + 1135*b**3/6 + 570*b**2 + 4*b + 148. Find h such that y(h) = 0.
-1, 228
Suppose 154 = -6*n + 2044. Let m be -7*(-18)/n*(-15)/(-4). Factor 1/2*r**2 + 0 - m*r.
r*(r - 3)/2
Find t, given that -1/11*t**4 + 0*t - 4/11*t**3 - 3/11*t**2 + 0 = 0.
-3, -1, 0
Suppose 9*k + 117 = 4*k + b, b = -2*k - 51. Let t be k/(-16)*(-72)/(-81). Find n, given that 5/3*n**2 + 0 + t*n + 1/3*n**3 = 0.
-4, -1, 0
Let i = 392778 - 610769449/1555. Let d = i + -6/311. Suppose 0 + 6/5*r + 7/5*r**2 + d*r**3 = 0. What is r?
-6, -1, 0
Let h(w) be the first derivative of 34*w**3/21 + 360*w**2/7 + 18*w + 851. Factor h(r).
2*(r + 21)*(17*r + 3)/7
Suppose 297 = -1278*i + 1281*i. Suppose -4*n**3 + 93*n**2 + 58*n**2 - i*n**2 = 0. What is n?
0, 13
Let r(b) = 20*b**4 - 165*b**3 + 463*b**2 - 294*b. Let a(d) = 65*d**4 - 495*d**3 + 1390*d**2 - 880*d. Let i(c) = -3*a(c) + 10*r(c). Factor i(y).
5*y*(y - 30)*(y - 2)*(y - 1)
Solve 72/5 + 50*b**2 - 324/5*b - 7/5*b**4 + 9/5*b**3 = 0 for b.
-6, 2/7, 1, 6
Let n(k) = 1801*k + 122474. Let q be n(-68). Find t, given that -6*t + 9/2*t**4 - q + 15*t**3 + 21/2*t**2 = 0.
-2, -1, 2/3
Let b(a) be the third derivative of -a**5/15 + 2981*a**4/24 - 745*a**3/6 + 6232*a**2. Factor b(t).
-(t - 745)*(4*t - 1)
Suppose 6 = r + m, 22 + 28 = 5*r - 5*m. Suppose -188 + 716 = r*z. Factor 166 - 16*g - z - 4*g + g**2.
(g - 10)**2
Let a be (21*(-27)/378)/(3 - 6 - (-10)/4). Factor 1/8*g**2 - 1/8*g**a + 1/8*g - 1/8*g**4 + 0.
-g*(g - 1)*(g + 1)**2/8
Suppose -7*y + 14 = -189. Factor -y*d - 65*d**2 - 171*d + 50 - 5*d**3 - 148 - 82.
-5*(d + 2)**2*(d + 9)
Determine q so that -5*q**2 - 5*q**2 - 205411*q + 205475*q - 2*q**3 - 72 = 0.
-9, 2
Let w(x) be the third derivative of x**7/735 + x**6/60 + 11*x**5/210 + 5*x**4/84 + 4*x**2 - 40. Factor w(h).
2*h*(h + 1)**2*(h + 5)/7
Let z be 96/(-12)*(-3)/12. Factor 18*p**2 - 18*p**z - 9*p**3 + 5*p**5 - 33*p**4 + 7*p**5.
3*p**3*(p - 3)*(4*p + 1)
Factor -624216*n + 1394426/9*n**2 + 2/9*n**4 + 5631368/9 + 372*n**3.
2*(n - 2)**2*(n + 839)**2/9
Determine f so that -1903*f**3 - 465*f**4 + 70479*f - 20*f**5 - 72504*f - 8955*f**2 - 1632*f**3 = 0.
-9, -5, -1/4, 0
Factor -20 - 2/3*b**2 + 22/3*b.
-2*(b - 6)*(b - 5)/3
Suppose 0 = 3*h - 6*h. Suppose h + 5 = -2*z + 3*f, -z + 3*f - 7 = 0. Factor 4 + 3*r**2 - 5*r**z + 6*r**2 - 8*r.
4*(r - 1)**2
Let p = 1343 - 920. Let m = -421 + p. Factor 8/3*d - 8/3 - 2/3*d**m.
-2*(d - 2)**2/3
Let b be (4 + -1)/(7/((-210)/18)). Let g(u) = u**2 - 19. Let o be g(b). Factor 2*q**2 + 0*q**3 - o*q**2 + 3*q - q**3 + 2*q**3.
q*(q - 3)*(q - 1)
Let p be (71 - -1)*(8 - 3)/15. Suppose -8*n + 5*t = -6*n - p, -22 = -5*n + 3*t. Suppose 1/2*v**n + v**3 + 0 - 1/2*v**4 - v = 0. What is v?
-1, 0, 1, 2
Solve -25/3*t - 65/6*t**4 + 7/6*t**5 + 145/6*t**2 + 41/2*t**3 + 0 = 0.
-1, 0, 2/7, 5
Let p(n) be the third derivative of -n**6/24 - 34*n**5/3 - 225*n**4/8 - 4*n**2 - 365*n. Factor p(h).
-5*h*(h + 1)*(h + 135)
Let a(p) be the third derivative of 0*p**5 + 0*p**4 + 0*p + 6 + 5/336*p**8 + 1/14*p**7 + 1/12*p**6 + 6*p**2 + 0*p**3. Let a(j) = 0. What is j?
-2, -1, 0
Let k(g) be the second derivative of -1/3*g**3 + 0*g**2 + 7/240*g**6 + 51/160*g**5 - 52*g - 7/16*g**4 + 0. Factor k(h).
h*(h - 1)*(h + 8)*(7*h + 2)/8
Let s(c) = -2*c**2 - 20*c + 300. Let b be s(8). Let k be 3 + (-2)/(-2) + (-45)/b. Let k*f**2 + 2*f + 7/4 = 0. What is f?
-7, -1
Let j(z) be the second derivative of -z**4/48 - 3*z**3/2 + 117*z**2/8 - 2*z - 111. Solve j(q) = 0.
-39, 3
Let h be 5/((-50 + -5)/(-5)*(-525)/(-210)). Suppose 0*j**2 - h*j**3 + 6/11*j - 4/11 = 0. What is j?
-2, 1
Let c(g) be the first derivative of -18/7*g**2 + 9/28*g**4 - 2/7*g**3 + 17 + 24/7*g. Factor c(w).
3*(w - 2)*(w + 2)*(3*w - 2)/7
Factor 17152/5*m**2 + 96/5*m**4 + 1824/5*m**3 + 79872/5*m + 147456/5 + 2/5*m**5.
2*(m + 8)**3*(m + 12)**2/5
Let i = -171114 + 171118. Determine w so that 23/2*w + i - 1/2*w**4 + 21/2*w**2 + 5/2*w**3 = 0.
-1, 8
Let n(f) be the second derivative of f**4/30 - 107*f**3/15 - 66*f**2 + 1130*f. What is h in n(h) = 0?
-3, 110
Suppose 3*t + 12 = 5*g + 22, 5*g = -11*t - 10. Let z(u) be the third derivative of 0*u**4 - 10/3*u**3 + 1/12*u**5 + 17*u**2 + t + 0*u. Factor z(c).
5*(c - 2)*(c + 2)
Suppose 15 = -4*d + 5*k, -3*k + 3 + 6 = 3*d. Let j = d - -3. Factor 1 + 3*g**4 + 8*g - 4*g**4 - 10*g - g**3 + 3*g**j.
-(g - 1)**3*(g + 1)
Let w = 3056099/4 - 764021. Let 0 - w*m - 5/4*m**2 = 0. What is m?
-3, 0
Let m(j) be the first derivative of -1/4*j**4 - 5/12*j**3 - 1/4*j**2 + 2 + 0*j - 1/20*j**5. Factor m(c).
-c*(c + 1)**2*(c + 2)/4
Let k(t) = t**3 + 4*t - 3. Let b be k(1). Suppose 2*s - g + 6 = -3*g, -b*s + 9 = -g. Factor 4/3*w**3 + 8/9*w**4 + 2/9*w**5 + 0 + 8/9*w**s + 2/9*w.
2*w*(w + 1)**4/9
Suppose 5256*v - 9624 = 2587*v - 2143*v. Find o, given that 12/5 - 27/5*o**3 + 27/5*o + 3/5*o**v - 