7*f - 2)/7
Factor -413/5 - 1653/10*b - 1/5*b**2.
-(b + 826)*(2*b + 1)/10
Determine j so that -14420*j + 42 + j**3 + 28799*j - 14422*j = 0.
-7, 1, 6
Let s(j) be the third derivative of 0*j + 1/360*j**6 + 7/72*j**4 + 2/45*j**5 + 1/12*j**3 + 0 - 1/420*j**7 - 61*j**2. Let s(c) = 0. Calculate c.
-1, -1/3, 3
Let w be -1*1 + 24/(-3) + 14. Suppose 29*j - 31*j + 5*k + 29 = 0, -k - 15 = -w*j. Factor 1/10*n - 1/10*n**j + 3/5.
-(n - 3)*(n + 2)/10
Let q(j) be the second derivative of -j**4/12 + j**3/6 - 1613*j - 1. Solve q(n) = 0.
0, 1
Let n be (-4)/(-5)*123/(-82)*(-5)/15. Suppose -14/5*j**3 + 8/5*j**2 + n*j**5 + 0*j + 0 + 4/5*j**4 = 0. What is j?
-4, 0, 1
Let m be 3/((-34)/(-51)*9/158). Suppose 0 = -5*z + 2*j + m, 5*z - 6*z + 5*j = -25. Find n, given that -11*n - 15*n**2 + 4*n + z*n - 13*n**2 = 0.
0, 2/7
Find m such that 120*m**4 + 37*m**2 + 180*m - 325*m**3 - 166*m**5 + 79*m**5 - 877*m**2 + 112*m**5 = 0.
-6, -2, 0, 1/5, 3
Let p(i) be the second derivative of i**7/3360 + i**6/120 - 9*i**5/160 + 7*i**4/48 - 3*i**3 - i - 8. Let j(o) be the second derivative of p(o). Factor j(s).
(s - 1)**2*(s + 14)/4
Let x(i) = -12*i + 40. Let n be x(0). Suppose 11*a - a = n. Factor 6*f - a*f**2 + 6*f**3 - 5*f + 12*f**5 - 4*f**4 - 11*f**5.
f*(f - 1)**4
Let z(v) be the first derivative of 2/5*v**5 - 41 + 0*v + 0*v**3 - 3/2*v**4 + 4*v**2. Find y such that z(y) = 0.
-1, 0, 2
Let i be -4*(21/(-12) + 1) + -11 + 296/36. What is s in -i*s**4 + 0 + 2/3*s**2 + 0*s**3 - 4/9*s = 0?
-2, 0, 1
Let x(t) be the first derivative of -16 - 7*t + 2*t**3 + 1/6*t**4 + 9*t**2. Let z(s) be the first derivative of x(s). Determine v, given that z(v) = 0.
-3
Let n(l) be the third derivative of -1/20*l**5 + 2/3*l**3 - l**4 + 1/35*l**7 + 17/120*l**6 + 0*l + 42*l**2 + 0. Suppose n(a) = 0. Calculate a.
-2, 1/6, 1
Let d(k) be the first derivative of k**7/1470 - k**6/630 + k**3/3 - 7*k**2 + 38. Let r(l) be the third derivative of d(l). Suppose r(c) = 0. What is c?
0, 1
Factor 2/11*q**4 - 771750/11 + 5460/11*q**2 + 19600/11*q + 192/11*q**3.
2*(q - 9)*(q + 35)**3/11
Let c = -24705 + 24727. Let g(p) be the second derivative of 0 + 3/17*p**3 - 2/51*p**4 + c*p + 9/17*p**2. Factor g(d).
-2*(d - 3)*(4*d + 3)/17
Let j(q) be the second derivative of -4*q**6/195 + 703*q**5/130 - 2369*q**4/6 - 8272*q**3/39 + 23232*q**2/13 - 339*q + 12. Let j(n) = 0. What is n?
-1, 3/4, 88
Let c(q) = 4*q**4 - 2*q**3 - 2*q**2 - 4*q - 2. Let f(b) be the first derivative of b**5/5 - b**4/2 - b**2/2 - b + 33. Let s(t) = -2*c(t) + 4*f(t). Factor s(u).
-4*u*(u - 1)*(u + 1)**2
Let k = 1525920/7 + -217714. Factor -124/7*l + 2/7*l**2 + k.
2*(l - 31)**2/7
Let p = -37 + 41. Suppose -1 = 5*z - p*j + 9, 0 = z - 5*j + 23. Factor -26*r + 4 + 35*r**z + 49/2*r**3.
(r + 2)*(7*r - 2)**2/2
Let i be (-18 - -19) + (7 - 11)/(60/14). Let y(w) be the first derivative of -2/3*w - 1/6*w**2 + 1/12*w**4 - 13 + 1/3*w**3 - i*w**5. Solve y(l) = 0.
-1, 1, 2
Let j be (15/15)/(-1*4/(-36)). Let l be 3 - 3 - (-27)/j. Factor -6/5*x**2 + 2/5*x**l + 8/5 + 0*x.
2*(x - 2)**2*(x + 1)/5
Let t be (-2)/(-7) + (-43334)/(-329). Let p be 1 + t/15 + -6 - 3. Factor p*x**4 + 7/5*x**3 + 0 + 3/5*x - 14/5*x**2.
x*(x - 1)*(x + 3)*(4*x - 1)/5
Let i(r) be the second derivative of -1 + 5*r - 16/9*r**2 + 7/27*r**3 + 1/108*r**4. Factor i(b).
(b - 2)*(b + 16)/9
Let p(z) = -9*z**4 + 13*z**3 + 305*z**2 + 403*z + 8. Let v(t) = -t**4 + 11*t**3 - 2*t**2 + t + 1. Let j(g) = -3*p(g) + 24*v(g). Factor j(m).
3*m*(m - 5)*(m + 1)*(m + 79)
Factor -1/4*h**2 - 95/4*h - 47/2.
-(h + 1)*(h + 94)/4
Let -2984/5*u - 556516/5 - 4/5*u**2 = 0. What is u?
-373
Let u(a) be the first derivative of 5*a**4/18 - 196*a**3/27 + 440*a**2/9 + 128*a/3 - 1513. Find h such that u(h) = 0.
-2/5, 8, 12
Find x, given that -238/5*x**4 + 2166/5*x**3 + 8/5*x**5 + 6058/5*x - 2028/5 - 5966/5*x**2 = 0.
3/4, 1, 2, 13
Let p = 2514751/1047815 + 1/209563. Factor -2 - p*b - 2/5*b**2.
-2*(b + 1)*(b + 5)/5
Suppose 4/7*b**2 - 144/7*b + 620/7 = 0. Calculate b.
5, 31
Suppose 5*t - 218 = -4*u, 4*u + 35 + 83 = 3*t. Find y, given that -t*y + 42 - 6*y - 20*y**2 + 18 + 15*y**2 - 7*y = 0.
-12, 1
Suppose 9*f = 1180 - 1153. Determine o, given that -19*o**3 - 2*o**5 - 11*o**f + 16*o**2 + 32*o - 29*o**4 + o**4 + 12*o**4 = 0.
-4, -1, 0, 1
Let u be ((-20)/4815)/((-4)/(-12)). Let z = u - -2921/2568. Find a such that 21/8*a**2 - 3*a - 3/4*a**3 + z = 0.
1, 3/2
Suppose -9 + 30 = -3*l - 3*z, -l + 4*z = 7. Let y be ((-5)/l)/((-2)/(-14)*1). Factor -6*i**2 - 36/5*i**3 - 18/5*i**4 - 9/5*i + 0 - 3/5*i**y.
-3*i*(i + 1)**3*(i + 3)/5
Let i(v) be the second derivative of v**8/2240 - 11*v**7/840 - v**6/240 + 11*v**5/40 - 5*v**4/3 - v - 33. Let l(w) be the third derivative of i(w). Factor l(y).
3*(y - 11)*(y - 1)*(y + 1)
Suppose 15 + 19 = 18*j + 34. Let f(c) be the third derivative of -1/240*c**6 - 1/2*c**3 + j*c + 0 + 21*c**2 + 0*c**5 + 7/48*c**4. Let f(p) = 0. Calculate p.
-3, 1, 2
Let b(l) be the second derivative of -l**6/15 - 7*l**5/5 + 2*l**4/3 + 56*l**3/3 + 6172*l. Factor b(y).
-2*y*(y - 2)*(y + 2)*(y + 14)
Let k(q) be the second derivative of q**5/50 + 11*q**4/30 + 8*q**3/5 - 36*q**2/5 - 652*q + 2. Find p such that k(p) = 0.
-6, 1
Let x(o) be the first derivative of -3*o**4/16 + 723*o**3/4 - 522729*o**2/8 + 41992563*o/4 - 911. Factor x(q).
-3*(q - 241)**3/4
Let x(i) be the third derivative of -i**5/270 - 1211*i**4/54 - 1466521*i**3/27 + 2688*i**2. Factor x(y).
-2*(y + 1211)**2/9
Let r = 102 - -6. Let t be r/110 - 96/528. Solve 0 - t*o**2 + 1/5*o**3 + 4/5*o = 0.
0, 2
Let i(k) be the second derivative of -1/9*k**3 - 1/3*k**2 - 1/72*k**4 + k + 0. Factor i(g).
-(g + 2)**2/6
Let s(k) be the third derivative of -1/12*k**4 - 6 + 3*k**2 + 0*k - 5/18*k**3 - 1/180*k**5. Solve s(h) = 0 for h.
-5, -1
Factor -6*i**3 - 70 - 19*i**2 - 12*i**3 - 70 - 104*i - 14*i**3 + 31*i**3.
-(i + 2)*(i + 7)*(i + 10)
Let y = -124 - -140. Let s be ((-198)/264)/((-30)/y). Factor -s*l**4 + 0*l**2 + 0 + 0*l - 2/5*l**3.
-2*l**3*(l + 1)/5
Suppose -2*l + 5*a = -29, -12*a + 25 = -17*a. Solve -3 + l + 3*g - 8*g - 3 - 6*g**2 - 9*g = 0 for g.
-2, -1/3
Determine q so that -8/3 + 65/3*q - 8/3*q**2 = 0.
1/8, 8
Let w(q) = 4*q**2 + 15822*q + 15822. Let l be w(-1). Determine r so that 0*r - l*r**2 + 52/3*r**4 - 26/3*r**3 - 14/3*r**5 + 0 = 0.
-2/7, 0, 1, 3
Let x = 314 - 303. Factor x - 8*v**2 + 12*v**2 + 12*v - 2*v**2 - 25.
2*(v - 1)*(v + 7)
Let w = 339829 + -339829. Let 5/2*j**5 + 3/4*j**2 + 0*j - 5/2*j**3 + w - 27/4*j**4 = 0. Calculate j.
-1/2, 0, 1/5, 3
Let t be (26/(-6) - -4)*-83. Let a = 424/15 - t. Let -3/5*r + 3/5*r**3 + a*r**2 + 0 - 3/5*r**4 = 0. What is r?
-1, 0, 1
Suppose -5*w = -i + 20, -i + 0*i + 2*w + 5 = 0. Let f be i/((-2)/(-1) - 7/3). Solve -4*s**4 - 7*s**3 + f*s**3 - 33*s + 18*s**2 - 2*s**2 + s = 0.
-2, 0, 2
Factor -372*i + 0 - 382/5*i**2 - 2/5*i**3.
-2*i*(i + 5)*(i + 186)/5
Let q(t) be the third derivative of 14*t**3 - 4/15*t**5 - t - 23*t**2 + 83/6*t**4 + 0. Find z such that q(z) = 0.
-1/4, 21
Let t be (-8)/(-10) - 18/(-90). Factor -150*y**2 + t + 4*y**4 - 4*y - 1 + 4*y**3 + 146*y**2.
4*y*(y - 1)*(y + 1)**2
Suppose -2*h + 12 = 2*k - k, -k = 4*h - 24. Let v(r) = -10*r**2 + 34*r. Let y(x) = 19*x**2 - 67*x. Let l(q) = h*y(q) + 11*v(q). Factor l(n).
4*n*(n - 7)
Factor -750*u - 2275*u**4 + 2733 - 103 - 245 + 2270*u**4 - 290*u**3 - 1340*u**2.
-5*(u - 1)*(u + 3)**2*(u + 53)
Let f = -1/2752 - -1391/41280. Let r(m) be the third derivative of 0*m**4 - 29*m**2 + 0*m + 1/3*m**3 + 0 - f*m**5. Factor r(l).
-2*(l - 1)*(l + 1)
Let o = -2414 + 3497. Let -3*g**3 - 69*g**2 - 48*g**2 - 1495*g + 298*g - o = 0. What is g?
-19, -1
Suppose 3*w - 2*w + 4*z = 21, 2*w - 5*z = 3. Suppose -4*r + 35 + w = 0. Solve -5*s**3 + 2 - 3*s + 8 - 10*s**2 - 3*s + r*s = 0 for s.
-2, -1, 1
Let p(t) be the first derivative of -t**3/12 + 1141*t**2/2 - 1301881*t - 2376. Solve p(g) = 0.
2282
Let w(i) be the second derivative of -i**7/840 - i**6/8 + 11*i**4/4 - 3*i**2/2 - i + 40. Let v(o) be the third derivative of w(o). What is a in v(a) = 0?
-30, 0
Factor 248/3*h + 16/3*h**3 - 1/3*h**4 + 115/3 + 50*h**2.
-(h - 23)*(h + 1)**2*(h + 5)/3
Factor -1046*k - 1411*k + 24216*k**2 + 2460 - 24219*k**2.
-3*(k - 1)*(k + 820)
Solve 178/3*d - 340/3*d**2 - 4/3 = 0 for d.
2/85, 1/2
Let o(z) be the third derivative of z**5/20 + z**4/4 - 3*z**3/2 - 2*z**2 -