 be the second derivative of 13/100*s**5 - 2/3*s**3 - 3/10*s**4 - 12 + 1/70*s**7 + 4/5*s**2 + 3*s + 7/75*s**6. Factor v(f).
(f - 1)*(f + 2)**3*(3*f - 1)/5
Let s = 134 + -74. Let w be (7 + -25 + 0)/(57/(-38)). Determine j, given that -100 + w*j**4 - 4/5*j**5 + 88*j**2 + s*j - 296/5*j**3 = 0.
-1, 1, 5
Solve -2/7*x**2 + 2390/7 + 2388/7*x = 0.
-1, 1195
Let s(l) be the third derivative of -l**7/3150 - 4*l**6/75 - 96*l**5/25 - 13*l**4/12 + 62*l**2. Let q(h) be the second derivative of s(h). Factor q(b).
-4*(b + 24)**2/5
Let c(m) be the first derivative of 0*m + 1/72*m**6 + 14 + 5/6*m**4 - 10/3*m**3 - 5/24*m**5 + 0*m**2. Let t(l) be the third derivative of c(l). Factor t(n).
5*(n - 4)*(n - 1)
Let i(o) be the first derivative of 21*o**5/5 + 279*o**4/4 + 19*o**3 - 279*o**2/2 - 78*o - 291. What is h in i(h) = 0?
-13, -1, -2/7, 1
Let k(v) be the second derivative of 7/45*v**6 - 2/9*v**3 + 0 + 0*v**2 - 7/18*v**4 - 114*v + 1/15*v**5. Let k(g) = 0. Calculate g.
-1, -2/7, 0, 1
Suppose -5*n + 19 = 3*v, 16 - 26 = -5*n. Suppose 23 = -v*g + 32. Factor -12/7*z**2 - 3/7*z**5 + 0 - 12/7*z**4 - 3/7*z - 18/7*z**g.
-3*z*(z + 1)**4/7
Factor -2/11*h**2 - 249218/11 + 1412/11*h.
-2*(h - 353)**2/11
Suppose -694*w + 679*w + 75 = 0. Let d(a) be the second derivative of 1/6*a**4 + 0 + 0*a**2 + 3*a + 1/20*a**w + 1/6*a**3. Factor d(s).
s*(s + 1)**2
Let q(a) be the third derivative of -1/420*a**8 + 1/120*a**4 + 1/300*a**5 - 3/200*a**6 + 11/1050*a**7 - 27*a**2 + 0*a + 0 + 0*a**3. Factor q(g).
-g*(g - 1)**3*(4*g + 1)/5
Let h(b) = -11*b**5 + 972*b**4 + 235222*b**3 - 473376*b**2 + 237193*b. Let y(w) = w**5 + w**2 - 2*w. Let v(t) = -5*h(t) - 60*y(t). Factor v(j).
-5*j*(j - 1)**2*(j + 487)**2
Let m be 4*-1 + 13 + -3. Let y be 2 + (-7)/(21/m). Factor -7*r**2 + y + r**2 + r**2 - 5*r + 30.
-5*(r - 2)*(r + 3)
Let s be (-1012)/230*(-204)/561. Factor 1/5*u**3 + 0 - s*u - 2/5*u**2.
u*(u - 4)*(u + 2)/5
Suppose -4*z - 2168 = 3*d, 22 = -z + 26. Let y be (-8)/(d/105)*4/10. What is r in -y*r**2 - 8/13*r + 8/13 = 0?
-2, 2/3
Let d(v) = v**3 - 5*v**2 + 11*v - 16. Let t be d(4). Let s be t/8*8*6/24. Factor -5/6 + 5/6*m + 5/6*m**2 - 5/6*m**s.
-5*(m - 1)**2*(m + 1)/6
Factor 0 + 125/3*x + 1/3*x**2.
x*(x + 125)/3
Let o(l) be the second derivative of l**4/78 - 449*l**3/39 - 450*l**2/13 + 294*l - 1. Determine f so that o(f) = 0.
-1, 450
Let t(x) = 5*x**2 + 26*x + 149. Let w(c) = -11*c**2 - 44*c - 299. Let d(r) = 5*t(r) + 2*w(r). Factor d(v).
3*(v + 7)**2
Let a(p) be the second derivative of -33/4*p**3 - 4/15*p**6 - 17*p + 71/12*p**4 + 7 + 9/2*p**2 - 13/10*p**5 + 1/12*p**7. Let a(v) = 0. Calculate v.
-3, 2/7, 1, 3
Let q(t) be the third derivative of 5*t**8/48 + 43*t**7/21 + 39*t**6/4 + 64*t**5/3 + 595*t**4/24 + 15*t**3 + 9*t**2 + 118*t. Factor q(n).
5*(n + 1)**3*(n + 9)*(7*n + 2)
Let l = -87566 + 87566. Solve -24/7 + 18/7*u**2 + l*u**3 + 8/7*u - 2/7*u**4 = 0 for u.
-2, 1, 3
Let u(j) = 62*j**4 - 104*j**3 + 16*j**2. Let r(g) = -21*g**4 + 34*g**3 - 5*g**2. Let x(w) = 8*r(w) + 3*u(w). Factor x(z).
2*z**2*(z - 2)*(9*z - 2)
Let q(r) be the first derivative of r**5/20 + 11*r**4/16 + 11*r**3/3 + 19*r**2/2 + 12*r + 1929. Determine y, given that q(y) = 0.
-4, -3, -2
Let v = -687 - -690. Let -34*b**3 + 15*b**v - 2*b**2 - 4*b + 5*b**3 - b**4 - 6*b**2 + 9*b**3 = 0. Calculate b.
-2, -1, 0
Let v be 206*(49/14 + -3). Find l, given that -v*l + 52*l - 4*l**3 - 8*l**2 + 47*l = 0.
-1, 0
Let x(b) be the first derivative of 25*b**6/3 + 29*b**5 + 35*b**4 + 15*b**3 - 725. Determine l so that x(l) = 0.
-1, -9/10, 0
Let y = -23 - -18. Let r be y + (5232/126)/8. Find n, given that 2/21*n**2 - 2/7*n + r = 0.
1, 2
Let u be (30846/(-36))/(18/12). Let t = -571 - u. Determine h so that -2/9*h**3 + 2/9*h + 4/9 - 2/3*h**2 + t*h**4 = 0.
-1, 1, 2
Let o(b) be the third derivative of b**7/490 + 19*b**6/140 + 289*b**5/140 + 9*b**4/2 - 1191*b**2. Factor o(y).
3*y*(y + 1)*(y + 9)*(y + 28)/7
Let h(q) = q**3 + 9*q - 11*q**2 + 14*q**2 + 4*q**2. Let t be h(-5). Factor -6*v**3 - v**5 - 12*v + 4*v**t + 15*v.
3*v*(v - 1)**2*(v + 1)**2
Let z = -2458 - -12296/5. Let p(w) be the second derivative of -z*w**3 + 33/10*w**2 + 0 + 1/20*w**4 + 31*w. Find q, given that p(q) = 0.
1, 11
Suppose 9*c = 7*c - 198. Let i be (1 - 30/42) + c/(-21). Factor 10*l - 224 + 269 - 40*l + i*l**2.
5*(l - 3)**2
Let c = 4/321 - -502/11235. Let a(t) be the first derivative of -14 - 2/7*t - c*t**5 - 4/7*t**3 + 2/7*t**4 + 4/7*t**2. Factor a(b).
-2*(b - 1)**4/7
Let s(i) be the third derivative of 1/8*i**6 + 0*i**3 + 0*i**4 + 2/35*i**7 + 1/112*i**8 + 178*i**2 + 1/10*i**5 + 0*i + 0. Solve s(v) = 0 for v.
-2, -1, 0
Suppose -9*z - 4*s = -4*z - 22, 3*s - 9 = 0. What is v in 4*v**2 + 33*v - 57*v - 48 - 7*v**z = 0?
-4
Let o(b) be the third derivative of b**8/40320 + b**7/10080 + 4*b**5/15 + 3*b**2 - 9. Let n(h) be the third derivative of o(h). Factor n(a).
a*(a + 1)/2
Let p = -1141 + 1146. Let o = 1 + 3. Factor -n**4 - p*n**2 - n + 2*n - 3*n - o*n**3.
-n*(n + 1)**2*(n + 2)
Let b = 1588751 + -1588751. Factor -1/2*r**3 + 1/2*r + 0*r**2 + b.
-r*(r - 1)*(r + 1)/2
Let j(v) be the first derivative of -92 - 30*v + 115/2*v**2 - 35/3*v**3. Factor j(z).
-5*(z - 3)*(7*z - 2)
What is l in -5/2*l - 1/2*l**2 + 7 = 0?
-7, 2
Let o(j) be the first derivative of 28*j - 271 - 4/3*j**3 + 12*j**2. Solve o(t) = 0.
-1, 7
Let t be 450/210 + (-6)/(-7). Let x(h) be the third derivative of 0*h**3 + 0*h**4 + t*h**2 - 1/180*h**5 + 0*h + 0. Factor x(n).
-n**2/3
Let g(m) be the second derivative of -3*m**5/160 - 33*m**4/32 - 45*m**3/8 - 2*m - 10. Factor g(j).
-3*j*(j + 3)*(j + 30)/8
Let h(w) be the second derivative of -26*w - 2197/22*w**2 + 1/220*w**5 + 2 - 13/44*w**4 + 169/22*w**3. Factor h(u).
(u - 13)**3/11
Let j = 3134 - 3134. Let h(s) be the first derivative of 1/9*s**3 + 0*s**4 + 0*s - 1/15*s**5 + j*s**2 - 2. Suppose h(q) = 0. What is q?
-1, 0, 1
Let n(g) = -4*g**3 + 10*g**2 - 6*g - 4. Suppose -13*j - 76 = -50. Let u(a) = -a**3 + a**2 + a - 2. Let l(o) = j*u(o) + n(o). What is v in l(v) = 0?
0, 2
Let k be (-6 - -12) + -1*(-4 + 7). Let g = -25/56 - -7/8. Factor k*p**4 - 39/7*p + 66/7*p**2 + 9/7 - g*p**5 - 54/7*p**3.
-3*(p - 3)*(p - 1)**4/7
Let s be 5/40 - ((-2)/(-16))/((-5)/30). Let t(p) be the third derivative of 0 + 0*p + 1/40*p**5 + 49/4*p**3 - s*p**4 + 16*p**2. Let t(h) = 0. Calculate h.
7
Let 14364*n**2 + 500094/5 - 1136/5*n**3 + 6/5*n**4 - 1524096/5*n = 0. What is n?
1/3, 63
Let l(g) be the third derivative of 9/8*g**4 - 1/40*g**6 - 1/20*g**5 - 112*g**2 + 0 + 0*g + 9/2*g**3. Determine b, given that l(b) = 0.
-3, -1, 3
Factor 9/2*y - 1/2*y**2 + 9/2 - 1/2*y**3.
-(y - 3)*(y + 1)*(y + 3)/2
Let q be (-3 - (-141)/2)*((-63)/210)/((-105)/756). Factor 54/5*r + q + 1/5*r**2.
(r + 27)**2/5
Let y = 1239/13 - -15527/26. Let z = y - 690. Factor 1/2*r**2 - z - 2*r.
(r - 5)*(r + 1)/2
Suppose -3*g = -2*t - 51, -580*t + 585*t - 17 = -g. Suppose 0*c**2 + 4/5*c**5 + 0*c + 5776/5*c**3 + t + 304/5*c**4 = 0. What is c?
-38, 0
Let x be 10 + -4 + -4 - 0. Let q(j) be the first derivative of 4/51*j**3 + 4 - 1/17*j**x - 4/17*j + 1/34*j**4. Factor q(u).
2*(u - 1)*(u + 1)*(u + 2)/17
Let a = 7687096/524121 - -4/174707. Factor a*g - 43/3 - 1/3*g**2.
-(g - 43)*(g - 1)/3
Let m(d) = -d**3 + 11*d**2 + 2*d + 20. Let g be m(5). Let c = g + -180. Factor -4/3*s**3 - 8/9*s**5 + 2*s**4 + 2/9*s**2 + c + 0*s.
-2*s**2*(s - 1)**2*(4*s - 1)/9
Suppose 27*f + 15330 = 41*f. Let g = -4341/4 + f. Find y, given that -9/4*y**4 - 29/2*y**2 - g*y**3 - 9*y - 2 = 0.
-2, -1, -2/3
Let l(q) = q**3 + 2*q**2 + q + 10. Let d be l(0). Let p = d + -10. Factor -5*g**2 - 18 + p*g**3 - 5*g**4 + 10*g**3 + 18.
-5*g**2*(g - 1)**2
Let o(q) be the first derivative of -2*q**7/105 - 2*q**6/15 + q**5/3 + 227*q**2/2 + 275. Let a(f) be the second derivative of o(f). Solve a(u) = 0.
-5, 0, 1
Let g = -15/157 + -2848/1413. Let f = -106/63 - g. Solve f*r**4 - 9/7*r + 0 + 3*r**2 - 15/7*r**3 = 0.
0, 1, 3
Let i(y) = -4*y**2 + 39*y - 82. Let d(l) = 40*l - 106 + 26 - 1020*l**2 + 1016*l**2. Let p(v) = -5*d(v) + 4*i(v). Suppose p(x) = 0. Calculate x.
2, 9
Solve -6/5*t**2 - 53/5*t + 9/5 = 0.
-9, 1/6
Suppose -128*s + 18*s + 880 = 110*s. Let a(v) be the first derivative of -3*v**3 - 7*v + 16 - 15/2*v**2 - 1/4*v**s. Determine x so that a(x) = 0.
-7, -1
Let n(m) be the first derivative of 20*m**6/3 -