be -11 + 12 - -2*b. Solve 51/7*l**2 - 48/7*l - 15/7*l**w + 12/7 = 0.
2/5, 1, 2
Suppose 2*j = 5*i - 170, 0 = 3*i - 2*j - 686 + 600. Solve -i*u**2 + 0 + 3/4*u**3 - 171/4*u = 0.
-1, 0, 57
Let b(o) be the first derivative of -1/8*o**3 + 11*o - 1/48*o**4 - 16 - 1/4*o**2. Let a(i) be the first derivative of b(i). Solve a(u) = 0.
-2, -1
Let s be 6*(0 - (-3)/6). Suppose -s*k = k - 2*t - 24, 0 = -3*t - 12. Factor k*f**4 + 0*f**4 - 49*f**3 + 51*f**3 + 2*f**5.
2*f**3*(f + 1)**2
Factor -3082*j**2 + 2554*j**4 + j**5 - 3071*j**4 - 404 + 2058*j**3 - 168 + 1546*j + 59 + 507*j.
(j - 513)*(j - 1)**4
Let u(l) = l**2 - 1. Suppose -120 = 21*n - 27*n. Let w(r) = -8*r - 27 + n*r + 13*r**2 + 36*r**3 - 4*r**2 - 39*r**3. Let j(z) = -3*u(z) + w(z). Factor j(c).
-3*(c - 2)**2*(c + 2)
Let x(q) = -4*q**2 - 6*q + 376. Let o be x(-20). Let d = o - -1104. Suppose 1/7*k**3 + 0*k**2 + d + 0*k = 0. Calculate k.
0
Let g(h) be the third derivative of h**8/30240 + h**7/1890 + h**6/270 - 13*h**5/20 + 4*h**2 - 5*h. Let m(a) be the third derivative of g(a). Factor m(l).
2*(l + 2)**2/3
Solve -1/2*c**5 - 9*c - 4 - 7/2*c**2 + 3/2*c**4 + 7/2*c**3 = 0.
-1, 2, 4
Let i be (-36)/(-4) - -3 - (-5 - (-82)/(-6)). Let -2116/3 - 1/3*a**2 + i*a = 0. Calculate a.
46
Let d be 119/34*12/2. Suppose -129*h + 122*h + d = 0. Find y such that -1/2 - 3/2*y - 1/2*y**h - 3/2*y**2 = 0.
-1
Let j(b) be the first derivative of -26/3*b**4 - 162 + 43/3*b**3 - 23/3*b**2 + 5/3*b + 16/15*b**5. Factor j(z).
(z - 5)*(z - 1)*(4*z - 1)**2/3
Let d(o) be the second derivative of -o**4/4 - o**3/2 + 273*o**2 - 2166*o + 2. Factor d(z).
-3*(z - 13)*(z + 14)
Let p(o) be the first derivative of 3*o**5/80 - 5*o**4/16 + 7*o**3/8 - 9*o**2/8 - 116*o + 69. Let a(g) be the first derivative of p(g). What is w in a(w) = 0?
1, 3
Let u(p) = -2*p**4 + 16*p**3 - 120*p**2 + 144*p. Let l(f) = 3*f**3. Let d(n) = 4*l(n) + u(n). Factor d(h).
-2*h*(h - 6)**2*(h - 2)
Let j(w) be the third derivative of 0*w - 2/105*w**7 + 0 + 19*w**2 - 11/6*w**4 + 12*w**3 - 17/15*w**5 + 11/30*w**6. Solve j(o) = 0.
-1, 1, 2, 9
Let k(d) be the first derivative of 2*d**5/5 + 27*d**4/2 + 374*d**3/3 + 297*d**2 + 272*d + 3. Let k(p) = 0. Calculate p.
-17, -8, -1
Let j(d) be the third derivative of -d**9/15120 + d**8/1008 + d**5/15 - d**4/24 + 32*d**2. Let p(x) be the third derivative of j(x). Factor p(s).
-4*s**2*(s - 5)
Let b(a) = -8*a**4 - 651*a**3 - 52494*a**2 + 3*a + 15. Let g(o) = 26*o**4 + 1954*o**3 + 157484*o**2 - 10*o - 50. Let r(c) = 20*b(c) + 6*g(c). Solve r(f) = 0.
-162, 0
Find x such that -x**4 + 24*x + 12*x + x**2 + 166*x**3 - 314*x**3 + 7*x + 105*x**3 = 0.
-43, -1, 0, 1
Let m(q) be the second derivative of 8*q - 4/9*q**3 + 1/6*q**4 + 6 - 4/3*q**2. Factor m(g).
2*(g - 2)*(3*g + 2)/3
Suppose -5*s + 7 = -53. Let g be (-9)/s*-66 - 3/(-6). Find a, given that 6*a**2 - 2*a**2 + 196 + 6*a + g*a = 0.
-7
Let y(f) = f**2 - 31*f - 95. Let k be y(-3). Let w be 2/k + (-570)/(-210). Factor 2/9*i**2 + 2/3*i - 4/9 + 2/9*i**4 - 2/3*i**w.
2*(i - 2)*(i - 1)**2*(i + 1)/9
Let s be (-15)/(180/58) - -5. Let o(p) be the second derivative of 1/60*p**4 + s*p**3 - 1/100*p**5 + 3/10*p**2 - 17*p + 0. Factor o(r).
-(r - 3)*(r + 1)**2/5
Let w(u) be the first derivative of -u**4/42 + 4*u**3/7 - 36*u**2/7 - 81*u + 9. Let k(o) be the first derivative of w(o). Factor k(d).
-2*(d - 6)**2/7
Determine r, given that 6/5*r**2 + 1434/5 - 2871/5*r = 0.
1/2, 478
Let s(x) be the first derivative of x**4/4 - 18*x**2 + 5057. Suppose s(h) = 0. What is h?
-6, 0, 6
Let d = 22354 + -22349. Let c(t) be the third derivative of 1/45*t**d + 0*t + 1/180*t**6 - 1/36*t**4 - 2/9*t**3 - 38*t**2 + 0. Suppose c(g) = 0. What is g?
-2, -1, 1
Factor 3*k**3 + 35964 - 80152 + 522*k**2 - 21105 + 21627*k - 29759.
3*(k - 4)*(k + 89)**2
Let c(w) be the first derivative of 22*w**5/65 - 10*w**4/13 - 1395. Factor c(n).
2*n**3*(11*n - 20)/13
Let j(a) = 1420*a - 17036. Let v be j(12). Determine c so that 0 - 3/4*c**v - 1/4*c**2 - 1/4*c**5 + 0*c - 3/4*c**3 = 0.
-1, 0
Factor -444*f + 0*f**4 + 3*f**4 - 110*f**3 - 81*f**3 + 311*f**3 + 321*f**2.
3*f*(f - 1)*(f + 4)*(f + 37)
Let d(b) be the second derivative of -1/4*b**4 + 1/40*b**6 - 7*b - b**3 + 0 + 3/40*b**5 + 0*b**2. Solve d(i) = 0.
-2, 0, 2
Let t = 196 - 193. Suppose -t*m - 19 = -5*p, -5*m = 4*p - 9*p + 15. Solve -2/9 - 8/9*j**3 + 2/3*j**4 + 8/9*j - 4/9*j**m = 0.
-1, 1/3, 1
Let h(x) be the third derivative of x**8/84 + 16*x**7/15 + 392*x**6/15 - 2407*x**2. Factor h(g).
4*g**3*(g + 28)**2
Factor 3213*d - 1383*d - 1435*d - d**2.
-d*(d - 395)
Let u(g) be the third derivative of -4/21*g**3 - 223*g**2 + 1/42*g**5 + 0 + 0*g + 19/84*g**4. Factor u(h).
2*(h + 4)*(5*h - 1)/7
Factor 29768 - 35*l**3 - 12544*l - 3316*l - 39*l**3 + 496*l**2 + 105*l**3 - 35*l**3.
-4*(l - 61)**2*(l - 2)
Let l(k) be the third derivative of k**6/840 + 11*k**5/70 + 9*k**4/8 + k**2 - 22*k - 5. Determine m so that l(m) = 0.
-63, -3, 0
Let v = 523 + -495. Find m, given that -80 - 557*m**3 + 81*m**4 + 66*m**4 - 535*m**3 - 1983*m**2 - 852*m - v = 0.
-1, -2/7, 9
Let p(m) = 4*m**3 + 5*m**2 + 18*m + 2. Let j(u) = 5*u**3 + 4*u**2 + 17*u. Let y(k) = -5*j(k) + 6*p(k). Factor y(l).
-(l - 12)*(l + 1)**2
Let x(i) be the third derivative of i**5/15 - 9*i**4 + 270*i**3 - 5381*i**2 - i. Factor x(y).
4*(y - 45)*(y - 9)
Let 38*k + 2/3*k**4 + 0 - 1022/9*k**3 - 686/9*k**2 = 0. Calculate k.
-1, 0, 1/3, 171
Let x be ((-25)/(-20) - 0)/(3 + 1452/(-495)). Find f, given that -18 - 3/4*f**2 + x*f = 0.
1, 24
Let s = -35 + 37. Let u**3 - 9*u**s - 145*u - u**2 + 151*u + 3*u**2 = 0. Calculate u.
0, 1, 6
Factor 82/9*k**2 - 82/9 + 1/9*k - 1/9*k**3.
-(k - 82)*(k - 1)*(k + 1)/9
Suppose 0*z = 21*z - 84. Factor 4*r**4 + 74*r + 0*r**5 - 3*r**5 - 72*r + r**5 - z*r**2.
-2*r*(r - 1)**3*(r + 1)
Let g(z) be the second derivative of -z**7/42 + 3*z**6/8 + z**5/12 - 15*z**4/8 - 13*z**2/2 - 42*z. Let i(h) be the first derivative of g(h). Factor i(j).
-5*j*(j - 9)*(j - 1)*(j + 1)
Let i be 4 + -2 + -2 + -11. Let w(a) = -a**2 + 131*a - 124. Let y(k) = -k**2 + 261*k - 249. Let r(s) = i*w(s) + 6*y(s). Find t, given that r(t) = 0.
-26, 1
Find l such that -240 + 14113*l**3 + 1024*l - 7093*l**3 - 588*l**2 - 7216*l**3 = 0.
-30/7, 2/7, 1
Suppose 0 = 40*j - 24*j - 480. Let c be (28/(-70))/((-8)/j). Factor a - 1/2*a**2 + c.
-(a - 3)*(a + 1)/2
Let u(d) be the second derivative of -d**6/30 + 7*d**5/20 - 11*d**4/12 - 7*d**3/6 + 6*d**2 + d + 1106. Find k such that u(k) = 0.
-1, 1, 3, 4
Let q(t) = 76*t**3 - 75156*t**2 - 37579*t - 4704. Let y(x) = -305*x**3 + 300625*x**2 + 150320*x + 18815. Let i(d) = -15*q(d) - 4*y(d). Factor i(n).
5*(n - 940)*(4*n + 1)**2
Suppose s + 32*s = -43*s + 152. Let q(g) be the first derivative of -1/12*g**4 - 2/3*g + 1/3*g**3 + 5 + 1/6*g**s - 1/15*g**5. Factor q(o).
-(o - 1)**2*(o + 1)*(o + 2)/3
Let t(j) be the second derivative of -13*j**4/4 - 194*j**3/15 + 2*j**2/5 + 277*j + 6. Factor t(a).
-(a + 2)*(195*a - 2)/5
Let v(h) be the first derivative of 5*h**5 + 0*h - 5*h**2 - 78 - 25/3*h**3 + 5/2*h**4. Factor v(p).
5*p*(p - 1)*(p + 1)*(5*p + 2)
Let r(c) = 3*c**4 - 447*c**3 - 895*c**2 - 449*c - 2. Let z(t) = -11*t**4 + 1339*t**3 + 2683*t**2 + 1347*t + 7. Let g(y) = 14*r(y) + 4*z(y). Factor g(a).
-2*a*(a + 1)**2*(a + 449)
Factor 168921/4 - 821/4*d**2 + 1/4*d**3 + 168099/4*d.
(d - 411)**2*(d + 1)/4
Factor -2859481/2 - 2856099/2*w + 3381/2*w**2 - 1/2*w**3.
-(w - 1691)**2*(w + 1)/2
Let p(g) = 4*g**2 + g - 103. Let m(r) = -3*r**2 - r + 102. Let z(f) = 6*m(f) + 7*p(f). Let d(y) = -5*y**2 - y + 54. Let c(n) = 11*d(n) + 6*z(n). Factor c(v).
5*(v - 4)*(v + 3)
Suppose 4*f - 57 = -2*y + 5, -y - 53 = -4*f. Find m such that 5 - 7*m + 14*m + f*m**2 - 15*m**2 - 11*m = 0.
-5, 1
Let q(u) be the first derivative of 70/3*u**3 + 25/4*u**4 - 14 - u**5 + 0*u**2 + 0*u. Suppose q(d) = 0. Calculate d.
-2, 0, 7
Factor 10/7*h + 0 - 2/7*h**4 + 18/7*h**2 + 6/7*h**3.
-2*h*(h - 5)*(h + 1)**2/7
Let o = 32321 - 32318. Determine q so that 0 - 1/2*q**o + 0*q - q**2 = 0.
-2, 0
Solve 2/5*r**3 - 88/5*r**2 - 188/5 - 278/5*r = 0.
-2, -1, 47
Suppose d = 9 - 4. Suppose 1525*r**d + 220*r**2 + 45*r**4 - 1530*r**5 - 80*r - 150*r**3 - 40*r = 0. What is r?
0, 2, 3
Let n be 132/(-105) + (66/(-363))/(150/(-1155)). Factor 1/7*c**2 - n*c**3 + 0*c + 0.
-c**2*(c - 1)/7
Suppose -3*a = 3*a - 12. Suppose 9*k 