Factor 3/4*m - z*m**3 + 0 + 3/8*m**2.
-3*m*(m - 2)*(m + 1)/8
Let o(b) be the second derivative of 1/45*b**5 - 11*b + 8*b**2 - 10/9*b**3 + 0 - 2/27*b**4. Factor o(j).
4*(j - 3)**2*(j + 4)/9
Let k(v) be the third derivative of 0*v**3 + 0*v + 15 + 2*v**2 - 13/108*v**4 + 1/270*v**5. What is f in k(f) = 0?
0, 13
Let d be 1 - (-29)/(-31) - (-58)/(-39556)*44. Factor d + 1/6*n**2 - 1/6*n.
n*(n - 1)/6
Let q be (-4)/14 + (-860)/(-70). Solve 4*k**5 - 4*k**3 - 4344*k**2 - 20*k**3 + 4312*k**2 + q*k**4 = 0 for k.
-4, -1, 0, 2
Let n = 102 - 88. What is m in 11*m - 3*m**2 + 5*m**2 + 11*m + n*m = 0?
-18, 0
Let j(s) be the second derivative of -s**6/285 - 223*s**5/190 - 5751*s**4/38 - 509141*s**3/57 - 3579110*s**2/19 + 2808*s. Factor j(a).
-2*(a + 10)*(a + 71)**3/19
Let d be 80/6*120/100. Let a be 90/d - 4 - 15/40. What is f in 15/4*f**3 - 5/2*f + a*f**4 - 5/4*f**5 + 0 - 5/4*f**2 = 0?
-1, 0, 1, 2
Suppose 14/3*u**4 - 150/7 + 108*u**3 - 4448/21*u**2 + 844/7*u = 0. What is u?
-25, 3/7, 1
Factor 1132/7 - 1/7*d**2 - 279/7*d.
-(d - 4)*(d + 283)/7
Let s(x) be the first derivative of -60*x + 3/4*x**3 + 9*x**2 + 73 - 3/16*x**4. Find d such that s(d) = 0.
-5, 4
Let x(m) be the first derivative of -m**6/1080 + m**5/54 - 25*m**4/216 - m**2 + 25*m - 29. Let l(r) be the second derivative of x(r). Solve l(t) = 0 for t.
0, 5
Let w(p) be the first derivative of 5*p**6/2 + 4*p**5 - 125*p**4/2 + 140*p**3/3 + 75*p**2/2 + 1381. Solve w(q) = 0 for q.
-5, -1/3, 0, 1, 3
Let u be (1294/6)/(50/150). Let j = -645 + u. Factor 24/5*z**3 + 6*z**j + 6/5*z**4 + 12/5*z + 0.
6*z*(z + 1)**2*(z + 2)/5
Let y(u) be the first derivative of 124 - 5/11*u**3 - 6/11*u - 17/22*u**2 + 1/55*u**5 - 3/44*u**4. Factor y(w).
(w - 6)*(w + 1)**3/11
Suppose 525056*l - 15140/7*l**3 + 314/7*l**4 + 21088*l**2 + 501760 - 2/7*l**5 = 0. Calculate l.
-10, -1, 56
Let i(k) be the first derivative of k**4/2 + 29*k**3/3 + 99*k**2/2 + 90*k - 1036. Factor i(q).
(q + 3)*(q + 10)*(2*q + 3)
Let w(p) be the second derivative of -p**4/36 + 233*p**3/3 - 162867*p**2/2 + 8*p + 14. Factor w(s).
-(s - 699)**2/3
Let m(t) be the third derivative of t**5/120 - 13*t**4/16 - 400*t**3/3 - 22*t**2 + 2*t - 191. Find f, given that m(f) = 0.
-25, 64
Let h = -2/7873 + 55135/94476. Let p(s) be the third derivative of -1/60*s**5 + 0*s + h*s**4 + 0 - 4*s**2 - 49/6*s**3. Solve p(u) = 0.
7
Let k(p) be the third derivative of -p**9/302400 + p**8/50400 + p**7/8400 + 17*p**5/60 - 3*p**2. Let z(g) be the third derivative of k(g). Factor z(l).
-l*(l - 3)*(l + 1)/5
Let h(c) = -c**2 - 13*c - 28. Let w be h(-10). Solve 3*p**2 + 3498*p + 0*p**w - 12 - 3507*p = 0 for p.
-1, 4
Let u(j) be the third derivative of -j**6/240 - 71*j**5/120 - 271*j**4/48 - 67*j**3/4 + 4*j**2 - 36. Factor u(w).
-(w + 1)*(w + 3)*(w + 67)/2
Let c = 40937/3 - 13644. Let w(q) be the second derivative of 7*q - 428/15*q**3 + c*q**6 + 56/5*q**2 + 0 + 37*q**4 - 41/2*q**5. Factor w(i).
2*(i - 7)*(5*i - 2)**3/5
Let w be (-481180)/(-85434) - (-2)/58. Factor -4 + m**3 + w*m**2 - 8/3*m.
(m - 1)*(m + 6)*(3*m + 2)/3
Let c(f) be the first derivative of -f**5/300 - 3*f**4/40 - 4*f**3/15 + 27*f**2 + f + 101. Let a(p) be the second derivative of c(p). Factor a(v).
-(v + 1)*(v + 8)/5
Let u(j) be the third derivative of -j**7/280 + j**6/20 + 23*j**3/2 - 91*j**2. Let h(d) be the first derivative of u(d). Let h(o) = 0. What is o?
0, 6
Let y(j) be the third derivative of j**7/1540 + j**6/495 - j**5/132 - j**4/66 + 70*j**3/3 - 164*j**2. Let d(c) be the first derivative of y(c). Factor d(v).
2*(v - 1)*(v + 2)*(3*v + 1)/11
Factor -1/4*l - 67/4 + 1/4*l**3 + 67/4*l**2.
(l - 1)*(l + 1)*(l + 67)/4
Solve 1/7*w**3 - 51/7*w**2 + 675/7 + 89*w = 0.
-1, 25, 27
Suppose 6*m + 18 = 3*s, 3*s + 414*m = 409*m + 7. Suppose 4/5*k**s - 4/5*k + 0 - 4/5*k**2 + 4/5*k**3 = 0. What is k?
-1, 0, 1
Let r be 1176/189 + 2/(-9). Let 37*k**3 + 34*k**3 - 5*k**2 + 30*k**3 - r*k - 127*k**3 + 27*k**3 = 0. Calculate k.
-1, 0, 6
Let q(h) be the second derivative of -2*h**6/105 - 116*h**5/35 - 230*h**4 - 23800*h**3/3 - 134750*h**2 - 3495*h - 1. Factor q(c).
-4*(c + 11)*(c + 35)**3/7
Let n(r) be the second derivative of r**6/6 - 9*r**5/4 + 35*r**4/6 + 2*r - 41. Factor n(g).
5*g**2*(g - 7)*(g - 2)
Let y(u) = 187*u - 351*u - 3*u**2 + 177*u - 1. Let j be y(4). Factor -9/2 + 4*k**j + 12*k - 1/2*k**4 - 11*k**2.
-(k - 3)**2*(k - 1)**2/2
Let i be 10 + -14 + 363/90. Let n(d) be the second derivative of 0*d**3 - 1/45*d**6 - 1/54*d**4 - 19*d - 1/189*d**7 + 0*d**2 + 0 - i*d**5. Factor n(f).
-2*f**2*(f + 1)**3/9
Factor 15/4 - 1/4*s**2 - 1/2*s.
-(s - 3)*(s + 5)/4
Let q(g) = 117*g**3 - 33*g**2 - 52*g + 108. Let y(n) = -50*n**3 + 17*n**2 + 27*n - 54. Let i(a) = -6*q(a) - 14*y(a). Solve i(u) = 0 for u.
-18, -3, 1
Let q(d) be the third derivative of -d**7/105 + 11*d**6/30 - 101*d**5/30 + 20*d**4/3 + 2*d**2 - 328. Suppose q(x) = 0. Calculate x.
0, 1, 5, 16
Let b(r) = r**5 - r**3 + 3*r**2 + 3*r. Let a(h) = h**5 - h**3 + 5*h**2 + 5*h. Let z be ((-2)/6)/(20/360). Let g(n) = z*a(n) + 10*b(n). Factor g(s).
4*s**3*(s - 1)*(s + 1)
Let k(v) be the first derivative of v**6/24 + 2*v**5/5 - 11*v**4/16 - 3*v**3/2 + 1469. Factor k(p).
p**2*(p - 2)*(p + 1)*(p + 9)/4
Let x(r) = -21*r + 252. Let s be x(12). Let f be (10/36 + s)*80/100. Solve -f*h**2 + 4/9*h**3 + 0 + 2/3*h**4 + 0*h = 0.
-1, 0, 1/3
Let q(g) be the first derivative of -g**4/2 + 224*g**3/3 + 460*g**2 + 928*g - 1276. What is y in q(y) = 0?
-2, 116
Let r(o) be the third derivative of -2/105*o**7 + 38*o**2 + 32/3*o**4 + 0*o - 64/3*o**3 + 0 + 11/30*o**6 - 14/5*o**5. Factor r(l).
-4*(l - 4)**2*(l - 2)*(l - 1)
Let a be ((-162)/(-30) + -6)/((-1)/10). Suppose 0 = 3*z - a - 3. Factor -7*m**z + 3*m**3 - 4*m**5 + 2*m**3 + 6*m**3.
-4*m**3*(m - 1)*(m + 1)
Let -20/7*z**2 + 4/7*z**4 - 24/7*z + 8/7*z**3 + 0 = 0. Calculate z.
-3, -1, 0, 2
Let a = 261/119 + -30/17. Suppose -5*g = -4*q + 8 + 17, 0 = q + 4*g + 20. Factor q + 6/7*h - a*h**2.
-3*h*(h - 2)/7
Let l = 39/3190 + 24857/54230. Let 2/17*h**3 + l - 14/17*h**2 - 2/17*h**5 + 0*h + 6/17*h**4 = 0. What is h?
-1, 1, 2
Let f(u) = -u**3 - 9*u**2 + 21*u + 155. Let c be f(-10). Let t be (24 - 1116/c)/(4/(-10)). Factor 0 - 9/7*q**t + 6/7*q**3 + 3/7*q.
3*q*(q - 1)*(2*q - 1)/7
Let x = -399/10 + 799/20. Let k(q) be the first derivative of -1/30*q**6 + 0*q**5 + 0*q**2 - 9 + 0*q**3 + x*q**4 + 0*q. What is u in k(u) = 0?
-1, 0, 1
Let p = -60214 + 60216. Factor 31/6*h - 4/3 + 2/3*h**p.
(h + 8)*(4*h - 1)/6
Let g(h) be the third derivative of h**7/70 - 27*h**5/20 - 25*h**4/4 - 12*h**3 - 6*h**2 + 229. Suppose g(s) = 0. What is s?
-4, -1, 6
Let y be 5 + ((-370)/(-15))/(10/225). What is d in -13 - 32*d - 893*d**3 + y*d**2 + 1156*d**5 + 13 + 298*d**4 - 1675*d**3 + 586*d**4 = 0?
-2, 0, 2/17, 1
Let z(a) = a**3 - a**2 - 2*a + 1. Let y(q) = -20*q + 102. Let d be y(5). Let p(v) = 8*v**3 - 4*v**2 - 14*v + 3. Let k(j) = d*p(j) - 14*z(j). Factor k(b).
2*(b - 1)*(b + 2)**2
Let n(m) be the third derivative of -m**7/42 - m**6/24 + 7*m**5/12 + 65*m**4/24 + 5*m**3 - 316*m**2 - 4*m. Factor n(z).
-5*(z - 3)*(z + 1)**2*(z + 2)
Let c = 2484 - 1679. Let h = -1609/2 + c. Factor -h + 1/4*i**4 - 3/4*i + 3/4*i**3 + 1/4*i**2.
(i - 1)*(i + 1)**2*(i + 2)/4
Let y = -22028 - -87655/4. Let f = 229/2 + y. Factor -f*m + 0 - 1/4*m**2.
-m*(m + 1)/4
Let p(i) = i**2 + 7*i + 7. Let h be 4*((-11)/2 - (0 + -4)). Let c be p(h). What is m in -c - 32 + 3 - 3*m**2 + 21*m = 0?
2, 5
Let z be 494/(-76)*(-9)/39*1. Factor 96 + 24*u + z*u**2.
3*(u + 8)**2/2
Let l(v) = -18*v**2 + 43*v - 5. Let q be 5 + (-335)/(-15) - (-2)/3. Let t(c) = 100*c**2 - 236*c + 28. Let x(g) = q*l(g) + 5*t(g). Factor x(a).
-4*a*(a - 6)
Let u be -2*(-928)/288*3. Suppose u*c + 6*c**2 + 4 = 0. What is c?
-3, -2/9
Let 1/4*r**5 + 7/2*r**2 + 3/4 - 11/4*r - 1/4*r**4 - 3/2*r**3 = 0. Calculate r.
-3, 1
Let -1154*r**3 + 477*r**3 + 335*r**3 + 672*r**2 + 676*r + 338*r**3 = 0. What is r?
-1, 0, 169
Let o(z) be the second derivative of 2*z - 5/12*z**4 - 85/6*z**3 - 8 + 45*z**2. Let o(x) = 0. Calculate x.
-18, 1
Factor 1/2*y**2 + 3528 + 84*y.
(y + 84)**2/2
Let m(u) = 1009*u**2 - 18*u - 15. Let r be m(-6). Factor 63*d**2 + 36417 + 15*d**3 + 49*d + d**4 - r.
d*(d + 1)*(d + 7)**2
Factor -20/7*g**4 + 16/7*g**3 + 0 + 0*g**2 + 0*g + 4/7*g**5.
4*g**3*(g - 4)*(g - 1)/7
Suppose -52 - 31 - 4 = -