1)/11
Suppose -342*h + 217*h + 159 = -84 - 132. Factor 1/6*n**h - 2/3*n**2 + 0*n + 0.
n**2*(n - 4)/6
Let a be 7*-1*8/(-14). Factor -16*j**3 + 0*j**a - 16*j**2 - 691*j + 691*j - 4*j**4.
-4*j**2*(j + 2)**2
Factor 0 + 3/5*u**3 - 156/5*u - 72/5*u**2.
3*u*(u - 26)*(u + 2)/5
Factor 413*b + 3*b**2 - 48*b**2 + 359*b - 4*b**3 - 588 - 146*b**2 + 11*b**2.
-4*(b - 3)*(b - 1)*(b + 49)
Let l(j) be the first derivative of 5/16*j**4 + 0*j - 163 - 45/4*j**2 + 35/12*j**3. Factor l(r).
5*r*(r - 2)*(r + 9)/4
Let h be (-3 + 127/45)/((-1)/5). Let p = -1369 - -12361/9. Let 34/9*w**2 + 8/9 - p*w - h*w**3 = 0. What is w?
1/4, 2
Let h(l) be the first derivative of -1/5*l**4 - 15 - 26/15*l**2 - 16/15*l**3 + 2/75*l**5 - 6/5*l. Factor h(j).
2*(j - 9)*(j + 1)**3/15
Let a(i) = 25*i**3 - 98*i**2 + 662*i - 300. Let m(b) = 30*b**3 - 97*b**2 + 663*b - 300. Let o(s) = -8*a(s) + 7*m(s). Factor o(f).
5*(f - 4)*(f + 15)*(2*f - 1)
Suppose m + 63 - 29 = 27, -5*u - 3*m = 21. Factor 0*x + u + 4/7*x**2.
4*x**2/7
Let n = -416 - -421. Let k be 0/(-3 - n/(-5)). Suppose 2/3*g**2 - 2/3*g**3 + 4*g + k = 0. Calculate g.
-2, 0, 3
Let i(a) = 17*a + 17. Let n be i(-1). What is u in u**3 + 76 + 0*u**3 + 2*u**3 - 148*u + u**3 + n*u + 68*u**2 = 0?
-19, 1
Factor 90*l**2 + 91*l - 1/3*l**3 - 542/3.
-(l - 271)*(l - 1)*(l + 2)/3
Let x(w) be the second derivative of -w**4/48 + 47*w**3/24 - 261*w**2/4 + 2988*w. Factor x(z).
-(z - 29)*(z - 18)/4
Suppose 2*g = -5*u + 74, -43*g = -3*u - 39*g + 34. Factor -13*n + 6*n**2 + u*n - 5*n.
2*n*(3*n - 2)
Factor -79/3*r - 26 - 1/3*r**2.
-(r + 1)*(r + 78)/3
Suppose 7 = 1398*x - 1399*x. Let s(h) = h + 10. Let v be s(x). Suppose -3/4*w**v + 3/4*w + 3/2 - 3/2*w**2 = 0. What is w?
-2, -1, 1
Suppose 0 = 3*q + 126 - 138. Let o(h) = 5*h**2 + 170*h + 1441. Let n(w) = -55*w**2 - 1870*w - 15850. Let z(d) = q*n(d) + 45*o(d). Solve z(y) = 0 for y.
-17
Let t(v) = -2*v**2 + 38*v - 8. Let i be t(17). Find s, given that -61*s + i*s + 5*s**2 - 4*s**2 = 0.
0, 1
Let i be 7452/20 + -4 + -2. Let v = 367 - i. Factor 8/5 - 2*p + v*p**2.
2*(p - 4)*(p - 1)/5
Let x be (28 + -21)/(-7) - (3 - (-72)/(-10)). Suppose -2/5*m**2 + x*m - 24/5 = 0. Calculate m.
2, 6
Let x(m) = -m**2 - 17*m + 60. Suppose 546*p = 549*p - 9. Let y be x(p). Solve -1/4*o + 1/2*o**3 + 0 + 0*o**2 - 1/4*o**5 + y*o**4 = 0 for o.
-1, 0, 1
Let s = -66266 + 66268. Factor -3*i**s - 1/2*i**3 - 4*i + 0.
-i*(i + 2)*(i + 4)/2
Factor -1899355 + 5328*m + 634606 - 509475 - 4*m**2.
-4*(m - 666)**2
Let y be ((-20)/(-14))/(341*57/12369). Factor -8/11 - y*v - 2/11*v**2.
-2*(v + 1)*(v + 4)/11
Suppose -3 = -3*g, 6*i - 2*i + 2*g - 22 = 0. Suppose 2*s + 168 = 5*h - 1293, 2*h - i*s = 597. Factor h*o**2 + 3 + 2 + 85*o + 320*o**3 + 109*o**2.
5*(o + 1)*(8*o + 1)**2
Suppose 58*q - 30 = 53*q. Factor 29 - 10*l**2 + 5*l**3 + 31*l + 31 - 20*l**2 - q*l.
5*(l - 4)*(l - 3)*(l + 1)
Let h(s) be the second derivative of 2*s**2 + 41*s + 0 - 7/3*s**3 + 5/6*s**4. Solve h(r) = 0 for r.
2/5, 1
Let y = -1141/180 + 115/18. Let t(j) be the third derivative of 0*j**3 + 0 + 0*j**4 - 1/15*j**5 - 7*j**2 + 0*j**7 + 1/168*j**8 + 0*j - y*j**6. Solve t(b) = 0.
-1, 0, 2
Let u(d) = -d**3 - 4*d**2 + 4*d - 2. Suppose 5*v + 49 = -g + 19, 0 = -4*g + 3*v - 5. Let l be u(g). Factor 0 - 3/2*y**2 + 0*y**l + 0*y + 3/2*y**4.
3*y**2*(y - 1)*(y + 1)/2
Let n be 4978/655 + 832/(-120). Determine y so that 0 + 10/3*y**3 + 4/3*y**4 + n*y**2 - 4/3*y = 0.
-2, -1, 0, 1/2
Determine p, given that 18*p**2 + 0 + 0*p + 2/7*p**3 = 0.
-63, 0
Let h = 2570641/10 - 257064. Factor 0 + 1/10*b**4 + 0*b + h*b**2 - 1/5*b**3.
b**2*(b - 1)**2/10
Let d = 315 + -306. Suppose 51 = d*j + 15. Factor 1/8*t**j + 3 + 15/4*t**2 + 9/8*t**3 + 11/2*t.
(t + 2)**3*(t + 3)/8
Let i(h) = -11*h**2 + 184*h - 642. Let u be i(5). Let j = -3 - -5. Factor -2/5*w + 4/5*w**j + 0 - 2/5*w**u.
-2*w*(w - 1)**2/5
Let k = -63 - -70. Suppose 5*y = 5*b + k + 13, -2*y = b - 2. Let 1 + 1/3*m**y + 4/3*m = 0. What is m?
-3, -1
Let x(f) = -25*f**3 - 245*f**2 + 470*f + 470. Let r(y) = -9*y**3 - 82*y**2 + 157*y + 155. Let v(o) = -10*r(o) + 3*x(o). Factor v(s).
5*(s - 2)*(s + 7)*(3*s + 2)
Let a(o) be the second derivative of o**4/126 + 160*o**3/63 + 6400*o**2/21 - 3266*o. Find p, given that a(p) = 0.
-80
Let f(u) be the second derivative of 5*u**7/168 + u**6/3 + 11*u**5/16 - 5*u**4/6 - 5*u**3/2 - 1467*u. Solve f(a) = 0 for a.
-6, -2, -1, 0, 1
Let h = -112 - -114. Solve 44*z**3 - 1127*z**4 + 441*z + 351*z - 648 + 1125*z**4 - 314*z**h = 0 for z.
2, 9
Let s(p) be the first derivative of -p**7/1260 + p**6/90 - p**5/36 - p**3/3 + p**2 - 64. Let n(l) be the third derivative of s(l). Find d such that n(d) = 0.
0, 1, 5
Let n(l) be the second derivative of -l**4/60 - 319*l**3/30 + 137*l - 1. Factor n(s).
-s*(s + 319)/5
Let r = 48/683 - -2492/3415. Suppose -r*g**2 - 8 - 161/5*g = 0. What is g?
-40, -1/4
Let b = 641756/7 + -91679. Solve 0 + 2/7*a**4 - 3/7*a**2 + b*a**3 - 2/7*a = 0.
-2, -1/2, 0, 1
Let k(q) = q**3 - 19*q**2 + 20*q - 22. Let y = -8 - -26. Let o be k(y). Factor 3*t - 4*t**2 + o*t**2 + t**3 - 7*t**2 + 1.
(t + 1)**3
Suppose -19*a + 20*a - 2 = 2*l, -10*l = -4*a + 8. Suppose -8/5*v**3 - 4/5*v**a + 4/5 + 2/5*v**5 + 6/5*v + 0*v**4 = 0. What is v?
-1, 1, 2
Let d = -615 - -630. Determine r, given that 28*r - d - 5*r**3 - 2*r - 339*r**2 + 334*r**2 - r = 0.
-3, 1
Factor 255*w - 17*w**3 + w**4 - 43*w**3 - 195*w**3 - 18*w**4 + 12*w**4 + 5*w**2.
-5*w*(w - 1)*(w + 1)*(w + 51)
Let a be (-69)/(-92)*(4 + (1 - 1)). Let i(l) = 3*l - 5. Let x be i(a). Factor -8*s**4 + 29*s**5 + 20*s**3 - 14*s**5 + 8*s**2 + 24*s**x - 11*s**5.
4*s**2*(s + 1)**2*(s + 2)
Let r = -654/17 - -19637/510. Let j(v) be the second derivative of 5*v**2 + 0 + r*v**4 + 10*v - 2/3*v**3. Factor j(k).
2*(k - 5)**2/5
Let f = 17411/2 + -8704. Factor 0*v - 9/2*v**4 - 3/2*v**5 - f*v**2 - 9/2*v**3 + 0.
-3*v**2*(v + 1)**3/2
Let j(t) be the third derivative of -2*t**2 + 21 - 1/16*t**8 - 17/10*t**6 + 75/8*t**4 + 9*t**3 + 13/10*t**5 + 0*t - 22/35*t**7. Find q such that j(q) = 0.
-3, -1, -2/7, 1
Suppose -2/7*h**5 - 2178/7*h + 136/7*h**4 - 2444/7*h**3 + 4488/7*h**2 + 0 = 0. What is h?
0, 1, 33
Factor -500*y - 761086*y**2 - 4*y**3 + 864 + 761158*y**2 + 68*y.
-4*(y - 6)**3
Let w = 119 - 169. Let h = 54 + w. Solve 35*v**5 + 60*v**h + 7 + 3 - 70*v**2 - 28*v**3 - 15*v + 8*v**3 = 0 for v.
-1, 2/7, 1
Determine w, given that 81*w**3 - 24*w**2 - 112*w**2 + 30*w - 4*w**2 + 29*w**2 = 0.
0, 10/27, 1
Let j(b) be the first derivative of -72*b**5/25 + 402*b**4/5 + 1126*b**3/15 - 254*b**2/5 + 46*b/5 + 1616. Find k, given that j(k) = 0.
-1, 1/6, 23
Let 4*y**2 - 108*y + 254*y - 54 + 318*y - 56 - 358 = 0. Calculate y.
-117, 1
Suppose 3*y + 4*k - 14 = 0, 6 = -y - 5*k + 9*k. Factor -160*a**3 - 4*a**5 + 229 + 1444*a**y + 347 - 140*a**3 - 84*a**4 - 1632*a.
-4*(a - 1)**3*(a + 12)**2
Let t = -2800 + 100801/36. Let z(p) be the third derivative of -10*p**2 - t*p**4 + 0*p + 0 + 1/180*p**5 + 0*p**3 - 1/630*p**7 + 1/180*p**6. Factor z(j).
-j*(j - 2)*(j - 1)*(j + 1)/3
Let h(u) = 13 - 3*u - 505*u**2 - 1 + 501*u**2 + 7*u. Let b(w) = w. Let p be b(-5). Let v(s) = -9*s**2 + 6*s + 25. Let n(t) = p*h(t) + 2*v(t). Factor n(d).
2*(d - 5)*(d + 1)
Let n(h) be the first derivative of -h**6/3420 + 7*h**5/570 + 22*h**3 - 6. Let k(j) be the third derivative of n(j). Find z, given that k(z) = 0.
0, 14
Let u(x) be the second derivative of -2*x**6/15 - 12*x**5/5 - 15*x**4 - 116*x**3/3 - 48*x**2 + 7659*x. Factor u(j).
-4*(j + 1)**2*(j + 4)*(j + 6)
Let s(n) be the third derivative of 7*n**5/12 + 335*n**4/6 + 190*n**3/3 + 997*n**2. Factor s(q).
5*(q + 38)*(7*q + 2)
Let x(k) be the second derivative of 13*k**5/20 + k**4/12 - k**3/2 + 3*k + 7. Let c(r) = -6*r**3 + 2*r. Let z(m) = 9*c(m) + 4*x(m). Factor z(b).
-2*b*(b - 3)*(b + 1)
Let l be 2 + -5 + 184/56. Let k = 358 + -358. Factor -8/7 + k*p + l*p**2.
2*(p - 2)*(p + 2)/7
Suppose 372*j = 60*j - 257*j + 2276. Factor -u**3 + 0*u**2 + u - 1/2 + 1/2*u**j.
(u - 1)**3*(u + 1)/2
Suppose 431*n - 421*n - 70 = 0. Let a be 252/(-35) + n - -1. Factor -4/5*p**4 + 0 + 4/5*p**3 + a*p**2 - 4/5*p.
-4*p*(p - 1)**2*(p + 1)/5
Let t = 145 + -143. Determine z, given that -3298 - 6*z**t + 3298 - 3*z**3 = 0.
-2, 0
Solve 0 - 30/7*a**3 - 1000/7*a - 300/7*a**2 - 1/7*a**4 = 0 for a.
-10, 0
Solve -4059*x**2 + 2060*x**2 + 23718420 + 2004*x**2 - 2