 + 24/7 + 32/7*y**2.
-4*(y - 6)*(y - 1)**2/7
Let h = -12444 - -12446. Let j(z) be the first derivative of -9 + 2/3*z**3 + z**h - 4*z. Factor j(v).
2*(v - 1)*(v + 2)
Let d = 966 - 2735. Let a = -1767 - d. Solve -2/5*t - 2/5*t**a + 4/5 = 0 for t.
-2, 1
Let o(p) be the second derivative of -p**6/60 - p**5/5 + 31*p**4/8 - 15*p**3 - 500*p - 1. Suppose o(v) = 0. Calculate v.
-15, 0, 3, 4
Let z = -69 + 73. Let r be 0/(-1)*(-2)/z. Solve -19 - 4*o**2 + 4*o**3 + r*o + 19 + 4*o**4 - 4*o = 0 for o.
-1, 0, 1
Determine p, given that 269/3*p - 2 - 89/3*p**2 = 0.
2/89, 3
Let k(w) = -10*w**3 - w**2 - 3*w - 2. Let u be k(-1). Let g be (-7)/2 - -1 - u/(-4). Factor 0*p**2 - 1/2*p**3 + g + 2*p.
-p*(p - 2)*(p + 2)/2
Let 17/3*s**2 + 1/6*s**3 + 32/3*s + 0 = 0. Calculate s.
-32, -2, 0
Let w(h) be the second derivative of h**4/6 - 647*h**3/3 + 5811*h. Factor w(r).
2*r*(r - 647)
Let x(f) be the second derivative of 5*f**4/12 + 230*f**3 + 47610*f**2 + 105*f + 5. Let x(v) = 0. Calculate v.
-138
Let l be 129*1 + -12 + 13. Suppose -8*z = 34 - l. Factor -42*i**2 - z*i + 87*i**2 - 16 - 41*i**2.
4*(i - 4)*(i + 1)
Let a(m) be the first derivative of 1/10*m**3 - 15 - 1/20*m**4 - 3/100*m**5 + 3/10*m**2 - 14*m. Let d(k) be the first derivative of a(k). Factor d(g).
-3*(g - 1)*(g + 1)**2/5
Let 2/7*q**4 - 94/7*q**3 + 276/7 + 454/7*q + 82/7*q**2 = 0. What is q?
-1, 3, 46
Let c(d) = -5*d**5 + 10*d**3 - 3*d**2 - 17*d - 3. Let g(f) = -2*f**5 - 3*f**4 - f**3 + 2*f**2 - f - 1. Let l(u) = -c(u) + 3*g(u). Solve l(k) = 0 for k.
-7, -2, -1, 0, 1
Let m(o) be the first derivative of -o**5/10 - 19*o**4/8 - 11*o**3/2 + 19*o**2/4 + 17*o - 381. Find a such that m(a) = 0.
-17, -2, -1, 1
Suppose 0 = 130*g - 138*g + 24. Let m(r) be the third derivative of 1/5*r**6 + 0*r**4 + 0*r**g + 0 - 18*r**2 + 3/5*r**5 + 2/105*r**7 + 0*r. Factor m(b).
4*b**2*(b + 3)**2
Factor 1552*f**4 - 1555*f**4 - 1299028 + 211816 + 1089*f**2 - 104748*f + 166*f**3 + 8*f**3.
-3*(f - 43)**2*(f + 14)**2
Let t be 16/(((-40)/(-12))/2 + (-28)/42). Let b(v) be the second derivative of -t*v + 0 - v**2 - 1/20*v**5 + 0*v**4 + 1/2*v**3. Let b(k) = 0. Calculate k.
-2, 1
Suppose -10342290*w - 224 - 134*w**3 - 3*w**4 + 10341554*w - w**4 - 642*w**2 = 0. What is w?
-28, -4, -1, -1/2
Let j be 31968/(-5994)*(-2)/16*(-1)/(22/(-6)). Solve -24/11 - j*h**4 + 2*h**3 + 26/11*h**2 - 2*h = 0.
-1, 1, 12
Suppose -6 = 5*r + 4*k, 5*r - 367 + 345 = 3*k. Factor -24/5*c**r + 18/5*c**4 + 0 + 0*c + 6/5*c**3.
6*c**2*(c - 1)*(3*c + 4)/5
Let l(h) be the third derivative of h**6/160 - 997*h**5/80 + 31125*h**4/4 - 62001*h**3/2 + h**2 - 4080*h. Suppose l(r) = 0. Calculate r.
1, 498
Suppose -3*z + 131 - 35 = -2*b, -b = 3*z + 48. Let v be 4/(b/(-9))*(-3 + 7). Factor -8 - 2*x + 14*x**2 + 10*x**3 - 14*x**v - 6 + 6*x**3.
2*(x - 1)*(x + 1)*(x + 7)
Let p(y) be the first derivative of -y**5/3 - 11*y**4/3 - 28*y**3/3 - 7235. Solve p(x) = 0 for x.
-6, -14/5, 0
Suppose -1754 = 16*p - 1818. Let c(w) be the second derivative of -1/6*w**3 + 0 + 1/12*w**p + 0*w**2 + 1/20*w**5 - 1/30*w**6 + 8*w. Solve c(d) = 0.
-1, 0, 1
Let o be 38 - 30 - 450/60. Factor 27/2*u - 27/2 - 9/2*u**2 + o*u**3.
(u - 3)**3/2
Find l, given that -32*l - 1/7*l**3 + 59/7*l**2 + 220/7 = 0.
2, 55
Determine p, given that -815*p**5 + 389*p**5 - 324 - 270*p + 20*p**4 + 428*p**5 + 60*p**3 = 0.
-3, 2
Suppose 6*a = 9*a + 5*b - 31, -15 = -3*b. Suppose 14*o**2 - 4*o + a*o**3 + 5*o**2 - 17*o**2 = 0. What is o?
-2, 0, 1
Suppose -4*y**3 + 987*y**2 + 6*y**3 - 827*y**2 + 373 - 494*y - 41 = 0. What is y?
-83, 1, 2
Let t(q) be the second derivative of 2*q**7/21 - 182*q**6/15 + 3022*q**5/5 - 14526*q**4 + 167670*q**3 - 984150*q**2 - 403*q + 3. Factor t(u).
4*(u - 27)**3*(u - 5)**2
Suppose 798*m - 270 = 708*m. Let l(y) be the third derivative of 26*y**2 - 1/36*y**5 - 1/6*y**m + 0*y + 0 - 7/72*y**4 - 1/360*y**6. Find v, given that l(v) = 0.
-3, -1
Let m be 27/(-90)*-5*108/54. Let j = 213200/21 - 10150. Find c such that -22/21*c**2 - 2/21*c**m - 26/21 + j*c = 0.
-13, 1
Let c = 19124 + -13104. Let a = -102304/17 + c. Find b, given that -6/17*b**2 + a*b + 0 + 2/17*b**4 - 8/17*b**3 = 0.
-2, 0, 3
Let g(v) be the first derivative of -v**5/5 - 5*v**4/4 - v**3 + 5*v**2/2 + 4*v - 977. Factor g(y).
-(y - 1)*(y + 1)**2*(y + 4)
Let k(f) = -15*f**2 - 1868*f - 3731. Let l(i) = 3*i**2 + 374*i + 746. Let n(d) = 2*k(d) + 11*l(d). Determine j, given that n(j) = 0.
-124, -2
Let x = 15 - 11. Let f = x - 1. Factor 8 - f*z + 0*z**2 - 6 + 0 + z**2.
(z - 2)*(z - 1)
Let i = 32627/11 + -2963. Let u = i + 31/22. Suppose 3*n**4 - 6*n**3 + 3/2*n**5 + u*n - 3*n**2 + 0 = 0. What is n?
-3, -1, 0, 1
Let k(q) be the third derivative of -q**8/336 - q**7/105 + 11*q**6/120 + q**5/5 - 3*q**4/2 - q**2 + 484*q + 1. Factor k(p).
-p*(p - 2)**2*(p + 3)**2
Let l(u) be the second derivative of u**4/60 - 43*u**3/10 + 64*u**2/5 - 1466*u. Solve l(b) = 0 for b.
1, 128
Let s(v) be the second derivative of -1350*v**2 - 88*v + 0 - 1/4*v**4 - 30*v**3. Let s(q) = 0. What is q?
-30
Factor 1/6*f**2 + 43/6*f + 62.
(f + 12)*(f + 31)/6
Let z(g) = g + 11. Let w(l) = 5. Let a(k) = 2*w(k) - 2*z(k). Let c be a(-7). Factor 0 + q**c - q**4 - 1/2*q**5 + 1/2*q + 0*q**3.
-q*(q - 1)*(q + 1)**3/2
Let q(t) be the first derivative of -5*t**6/6 + 139*t**5 + 1415*t**4/2 + 4270*t**3/3 + 2855*t**2/2 + 715*t - 1139. Find o such that q(o) = 0.
-1, 143
Factor 238*j**2 - 1 - 242*j**2 + 3 - 2*j**3 + 6 + 10*j + 4.
-2*(j - 2)*(j + 1)*(j + 3)
Suppose -416 + 361 - 371 = -213*y. Factor 0 - 1/9*c**y - 13/9*c.
-c*(c + 13)/9
Let z(y) be the first derivative of -2*y**5/25 + y**4 - 6*y**3/5 - 3689. Factor z(s).
-2*s**2*(s - 9)*(s - 1)/5
Find g, given that 8*g**4 + 196*g**3 - 3*g**4 - 751*g**2 + 2900*g - 1460 + 43*g**3 + 101*g**3 - 1034*g**2 = 0.
-73, 1, 2
Let b(l) = -l**2 + 12*l + 5. Let x be b(12). Suppose -x*p - 350 = -12*p. Factor -147*v**3 - p*v - 30 - 46*v + 18 - 231*v**2.
-3*(v + 1)*(7*v + 2)**2
Suppose -18*w = 1926 - 2070. Solve 0*i + 0*i**2 + 0 + 4/3*i**5 - w*i**3 + 4/3*i**4 = 0.
-3, 0, 2
Let f = 639713 - 639710. Factor -72/7*s**f + 0 - 1/7*s**5 - 16/7*s**4 - 80/7*s - 128/7*s**2.
-s*(s + 2)**3*(s + 10)/7
Suppose -47 + 39 = 4*d. Let j be (3/1)/((-2)/d). Find z, given that -4*z**j + 17*z**3 + 3*z + 3*z**3 + 8*z**4 + 10*z**2 - z = 0.
-1, -1/2, 0
Let n(z) be the first derivative of -38 - 3/4*z**2 - 1/12*z**3 - 5/4*z. Factor n(v).
-(v + 1)*(v + 5)/4
Let t = 1477/586 - 6/293. Let s(d) be the first derivative of -4 + 0*d + 5/3*d**3 - t*d**2. Let s(g) = 0. What is g?
0, 1
Let x(r) be the third derivative of -21/2*r**4 + 2/35*r**7 + 18*r**3 + 73/20*r**5 + 0 + 0*r + 24*r**2 - 7/10*r**6. Find g such that x(g) = 0.
3/2, 2
Let u(v) be the first derivative of v**5/10 + 123*v**4/8 + 648*v**3 - 8640*v**2 - 1161216*v - 3675. Solve u(q) = 0.
-48, 21
Let z(s) = 15*s + 386. Let m be z(-27). Let w = 23 + m. Solve -20/7*t**3 - 6/7*t**w + 18/7*t**2 + 0 + 8/7*t = 0 for t.
-4, -1/3, 0, 1
Let f(a) be the second derivative of 2/3*a**7 + 180*a + 0*a**4 - 8/15*a**6 + 4/35*a**5 + 0*a**2 + 0 + 0*a**3. Let f(b) = 0. What is b?
0, 2/7
Let v(z) = -z**3 - 2*z + 16. Let r be v(0). Let w = -13 + r. Factor 2*a**3 + 7*a**3 + 7*a**w - 3*a**4 - 16*a**2 - a**4.
-4*a**2*(a - 2)**2
Let n = 192 - 188. Factor -21*w**4 - 15*w**3 - 17*w**n - 20*w**2 + 43*w**4.
5*w**2*(w - 4)*(w + 1)
Let b(m) be the third derivative of -2401/6*m**3 - 1/120*m**6 - 2303/24*m**4 - 12*m**2 + 0*m - 5 + 97/60*m**5. Factor b(q).
-(q - 49)**2*(q + 1)
Let o(y) = -7*y**3 + 631*y**2 + 100480*y - 101120. Let h(c) = -12*c**3 + 1263*c**2 + 200962*c - 202241. Let p(b) = 8*h(b) - 14*o(b). Let p(v) = 0. Calculate v.
-318, 1
Let o be 48 - 6099/107 - 70/(-6). Factor o*x + 4*x**2 - 10/3*x**3 - 16/3 + 2/3*x**4.
2*(x - 2)**3*(x + 1)/3
Let y = -2872 + 2874. Let c(v) be the first derivative of 1/6*v + 1/24*v**4 + 4 - 1/18*v**3 - 1/12*v**y. What is o in c(o) = 0?
-1, 1
Suppose -a + 618 = -w, -a + 116*w = 114*w - 615. Let c = a + -621. Let 2/5*i - 2/15*i**2 + c = 0. What is i?
0, 3
Let n(z) be the third derivative of -z**6/540 - 3*z**5/10 - 140*z**4/9 - 1600*z**3/27 - z**2 - 1446*z. Solve n(k) = 0 for k.
-40, -1
Suppose -4*h - 271*k + 266*k = 37, -53 = -4*h + 5*k. Factor -18/11*d**h - 6/11*d + 6/11*d**3 + 18/11.
6*(d - 3)*(d - 1)*(d + 1)/11
Let n(w) be the first derivative of 2*w**5/95 - 225*w**4/38 