**2*(q + 28)/5
Let p(f) be the first derivative of -f**4/12 + 7*f**3/6 - 21*f - 17. Let w(n) be the first derivative of p(n). Let w(s) = 0. Calculate s.
0, 7
Let j be (1 + 1)*(44 + 2/(-2)). Let b = j - 71. Solve -3*a**2 + 6*a**2 + b*a**2 + a**4 - 2 + 10 + 20*a + 7*a**3 = 0 for a.
-2, -1
Let o(y) = -y**3 + 5*y**2 - 6*y + 2. Let g be o(4). Let b be ((-32)/(-20) + -2)*(g + 1). Factor -6*p**2 + p**b + 6 + 0*p**2 + 2*p**2 + 3*p.
-3*(p - 2)*(p + 1)
Suppose -6*m + 57*m = -29*m + 2320. Let g(q) be the first derivative of 2/3*q**2 - q - 1/9*q**3 - m. Factor g(u).
-(u - 3)*(u - 1)/3
Let m = 135800/3 + -678802/15. Solve -m*y + 68/5 - 2/5*y**2 = 0.
-34, 1
Let w be ((-288)/240 - (-141)/105)/1. Determine s so that -3/7*s**4 + 0 - 1/7*s**2 + 0*s + 3/7*s**3 + w*s**5 = 0.
0, 1
Let r(t) = t**3 - 7*t**2 + 1. Let j(g) = -245*g**4 + 100831*g**3 + 43408*g**2 - 49460*g + 8236. Let c(v) = -j(v) - 4*r(v). Solve c(o) = 0.
-1, 2/7, 412
Let c(p) be the third derivative of -p**6/252 + 3776*p**5/315 - 2853145*p**4/252 + 1140050*p**3/63 + 304*p**2 - 2*p - 5. Factor c(v).
-2*(v - 755)**2*(5*v - 2)/21
Let i = 80878454162/3978835 + -8028894/395. Let h = 2/1439 + i. Factor 0 + h*l - 9/7*l**2.
-3*l*(3*l - 2)/7
Let d(t) be the second derivative of t**4/72 + 547*t**3/18 + 1093*t**2/12 - 839*t + 3. Factor d(r).
(r + 1)*(r + 1093)/6
Let t = 2145 - 6512/3. Let b = 163/6 + t. Determine n so that 3/2*n**4 + 0 + 3/2*n**3 - b*n**2 - 3/2*n = 0.
-1, 0, 1
Let g(y) = 9*y**3 - 102*y**2 + 348*y - 708. Let c(s) = -10*s**3 + 109*s**2 - 344*s + 706. Let j(k) = 6*c(k) + 7*g(k). Suppose j(t) = 0. Calculate t.
4, 6, 10
Let g(c) be the first derivative of -c**4/10 + 14*c**3/15 + 184*c**2 - 5280*c + 3361. Let g(b) = 0. Calculate b.
-33, 20
Suppose -6 = -5*k + 3*a, 3 - 5 = k + a. Suppose k*g + 3*s - 192 = -3*g, 0 = -g + 5*s + 46. Factor -30*w**3 - 10*w**2 - 24*w**3 + g*w**2 - 12 + 15*w**4.
3*(w - 2)*(w - 1)**2*(5*w + 2)
Let x(l) be the third derivative of -l - 10/33*l**3 - 37*l**2 + 79/660*l**6 - 9/385*l**7 + 0 + 17/44*l**4 + 1/924*l**8 - 19/66*l**5. Solve x(f) = 0.
1/2, 1, 10
Determine j so that 3227*j**3 - 9*j**2 + j**4 - 3234*j**3 + 7*j + 0*j + 8 = 0.
-1, 1, 8
Factor -5*w**4 - 18581*w**2 - 115*w**3 + 8928*w**2 + 9133*w**2 + 1540*w.
-5*w*(w - 2)*(w + 11)*(w + 14)
Let u be (-56)/88*21 - (10 - 27). Factor u*j + 42/11 - 2/11*j**2.
-2*(j - 21)*(j + 1)/11
Let l be -19 + ((-8904)/(-189) - 28). Suppose -14/9 + 5/9*h + l*h**2 = 0. What is h?
-7, 2
Let z(q) = 19*q**2 - 5*q - 12. Let b(u) = -5*u**2 + u - 5*u**2 + 8*u**2 + 3*u - 14*u**2 + 11. Let k(a) = 6*b(a) + 5*z(a). Let k(s) = 0. Calculate s.
-3, 2
Let k(b) be the third derivative of -b**6/120 + 341*b**5/30 - 14620*b**4/3 + 115600*b**3/3 - 21*b**2 - 55*b. Factor k(c).
-(c - 340)**2*(c - 2)
Let c(j) be the third derivative of -j**5/240 + j**4/96 + 11*j**3/2 + 9*j**2. Factor c(t).
-(t - 12)*(t + 11)/4
Let o = -59 + 53. Let g(b) = -10*b**3 - 40*b**2 - 58*b + 12. Let n(v) = 29*v**3 + 120*v**2 + 175*v - 34. Let c(p) = o*n(p) - 17*g(p). Solve c(x) = 0 for x.
-8, -2, 0
Let p(q) be the second derivative of -q**4/4 + 763*q**3 - 1746507*q**2/2 - q - 30. Factor p(u).
-3*(u - 763)**2
Suppose 0 = -4*u + 4*s + 28, -u + 2*u + s + 3 = 0. Factor 2*d**2 - 5*d**2 - d**u - 12*d + 4*d**4 + 8*d + 4*d**3.
4*d*(d - 1)*(d + 1)**2
Let -158*g - 3*g**4 + 60 + 141*g**2 + 5/2*g**5 - 85/2*g**3 = 0. Calculate g.
-5, 1, 6/5, 2
Let j(a) be the third derivative of -a**6/840 + a**5/105 + 85*a**4/168 - 44*a**3/21 - 3830*a**2. Factor j(x).
-(x - 11)*(x - 1)*(x + 8)/7
Suppose -s = -3*u - 5*s + 297, -2*u - s + 193 = 0. Suppose -u*y = -91*y - 8. Let -8*w - 2*w**3 + 16 + 25 - 41 - 8*w**y = 0. Calculate w.
-2, 0
Let m be -1*((-912)/3192 + 2/7). Let 1/7*v**3 + m*v + 0 + 3/7*v**2 = 0. Calculate v.
-3, 0
Factor 79/2 - 1/4*y**2 + 157/4*y.
-(y - 158)*(y + 1)/4
Let x(u) be the third derivative of -56*u**2 - 8/105*u**5 - 5/21*u**4 - 1/420*u**6 + 0*u**3 + 0 + 0*u + 1/735*u**7. Determine r, given that x(r) = 0.
-2, 0, 5
Let y = 56 - 224. Let q be y/35 - (-1 + -5). Factor -21/5*n + 27/5*n**2 + q - 3*n**3 + 3/5*n**4.
3*(n - 2)*(n - 1)**3/5
Let m be -8 - 2 - 8/2. Let u be 4/m + (288/140)/3. Factor -1/5*x**3 + 0*x + 0*x**2 - 1/5*x**5 + 0 + u*x**4.
-x**3*(x - 1)**2/5
Let y(h) be the first derivative of h**5/210 - h**4/14 - 9*h**2/2 + 13*h - 185. Let w(u) be the second derivative of y(u). Find s such that w(s) = 0.
0, 6
Factor -6*q + 191*q**3 - 38*q**3 + 235*q**3 + 1062*q - 394 + 2*q**4 - 1176*q**2 + 124*q.
2*(q - 1)**3*(q + 197)
Suppose 147*z - 18 = 146*z. Factor 6*r**2 - z*r**2 - 233*r**2 - 173*r - 32 - 259*r - 100*r**3 - 163*r**2.
-4*(r + 2)**2*(25*r + 2)
Let a(v) be the third derivative of 1/3*v**3 + 0*v + 1/672*v**8 - 1/120*v**6 - 5*v**2 + 1/105*v**7 - 7 - 1/15*v**5 + 1/48*v**4. Solve a(h) = 0 for h.
-4, -1, 1
Find h such that 2/9*h**4 + 64/9 - 40/9*h**3 + 46/3*h**2 - 164/9*h = 0.
1, 2, 16
Let p(m) = 4*m**3 + 44*m**2 - 98*m + 6. Suppose -433*v + 432*v = -36. Let g(f) = f**3 - f**2 - f - 1. Let w(d) = v*g(d) - 2*p(d). Solve w(r) = 0.
3/7, 2
Let y(w) = 25*w**2 - 300*w - 175. Let k(s) = -s**2 + 3*s - 1. Suppose 246*d + 6 = 252*d. Let g(m) = d*y(m) + 30*k(m). Suppose g(z) = 0. Calculate z.
-41, -1
Let z(y) be the third derivative of y**7/140 + 59*y**6/80 - y**5/40 - 59*y**4/16 - 18*y**2 + 18*y. Let z(x) = 0. What is x?
-59, -1, 0, 1
Let t(l) be the second derivative of l**6/60 + 343*l**5/40 - 689*l**4/24 + 115*l**3/4 + 199*l - 2. Determine o so that t(o) = 0.
-345, 0, 1
Let g = -5456 - -5460. Let p(o) be the second derivative of 0 - 20/3*o**3 + 40*o**2 + 9*o + 5/12*o**g. Factor p(t).
5*(t - 4)**2
Let n(l) be the second derivative of -l**4/114 + 1529*l**3/57 + 1530*l**2/19 + 400*l + 9. Suppose n(x) = 0. Calculate x.
-1, 1530
Factor -30*x**2 + 16*x**3 - x**4 + 40*x - x**4 - 87*x + 47*x.
-2*x**2*(x - 5)*(x - 3)
Let a(o) be the third derivative of -o**6/24 + 91*o**5 - 82810*o**4 + 120571360*o**3/3 - 597*o**2 - 3*o. Solve a(q) = 0 for q.
364
Let q = -56 - -58. Suppose q*a + 6*a - 56 = 0. Factor 3*s**2 - 4*s**5 + 17*s**4 - 13*s**4 - a*s**2 + 4*s**3.
-4*s**2*(s - 1)**2*(s + 1)
Let z(n) = 58041*n**2 + 50160*n + 10440. Let o(a) = -5804*a**2 - 5016*a - 1043. Let c(p) = -39*o(p) - 4*z(p). Determine d so that c(d) = 0.
-19/44
Suppose 0 = -z - 4*z + 825. Factor 5*j**2 - 2*j**2 - z + 261*j - 221*j - 2*j**2 + 4*j**2.
5*(j - 3)*(j + 11)
Suppose -12*p + 21 = -3. Determine a, given that -45 - 3*a**p + 59 - 26 - 12*a = 0.
-2
Let d = 11659 + -46631/4. Let q = 47/172 - 1/43. Suppose q*v**3 + 3/4*v + d*v**2 - 9/4 = 0. What is v?
-3, 1
Let n(q) be the first derivative of -93/2*q**4 - 33*q**2 + 8*q + 36/5*q**5 + 42 + 184/3*q**3. What is b in n(b) = 0?
1/3, 1/2, 4
Let n(o) be the second derivative of -o**7/126 - o**6/15 + 22*o**5/15 - 76*o**4/9 + 24*o**3 - 112*o**2/3 + 1300*o. Factor n(v).
-(v - 2)**4*(v + 14)/3
Let i(b) be the third derivative of -b**7/945 + b**6/60 + 17*b**5/270 - 7*b**4/4 - 196*b**3/27 + 2083*b**2. Find u, given that i(u) = 0.
-4, -1, 7
Let k(q) be the second derivative of 50/3*q**2 + 2/3*q**4 + 2*q + 14 - 1/30*q**5 - 5*q**3. Factor k(n).
-2*(n - 5)**2*(n - 2)/3
Solve 15/2*t**4 + 99/2*t**3 - 81*t**2 + 24*t + 0 = 0 for t.
-8, 0, 2/5, 1
Suppose -8*v + 11915 = 11883. Let u(r) be the second derivative of 11/140*r**5 + 3/14*r**3 - 1/70*r**6 - 6*r - 5/28*r**v - 1/7*r**2 + 0. Factor u(q).
-(q - 1)**3*(3*q - 2)/7
Determine t, given that 4265*t + 3*t**2 - 903 + 3772*t - 8937*t = 0.
-1, 301
Let u(p) be the third derivative of 9/2*p**4 + 0 + 4*p - 3*p**3 - 2*p**2 + 64/63*p**8 - 19/10*p**5 + 64/45*p**7 - 106/45*p**6. Determine j, given that u(j) = 0.
-1, 3/8
Let r(a) be the first derivative of a + 55/12*a**4 + 0*a**2 + 17 + 5/6*a**3. Let m(g) be the first derivative of r(g). Find l such that m(l) = 0.
-1/11, 0
Let x(m) be the third derivative of -m**7/385 - m**6/22 + 51*m**5/110 + 108*m**4/11 - 972*m**3/11 + 141*m**2 + m. Suppose x(s) = 0. Calculate s.
-9, 2, 6
Factor -18/5*j + 216/5 + 2/5*j**3 - 24/5*j**2.
2*(j - 12)*(j - 3)*(j + 3)/5
Let l = -6413006/35 - -183183. Let i = 323/7 + l. Let -s**2 - 1/5*s**4 + 4/5*s**3 + i*s + 0 = 0. Calculate s.
0, 1, 2
Let j(h) be the second derivative of 0*h**4 + 170*h + 0*h**2 - 23/50*h**5 - 1/75*h**6 + 0 + 0*h**3. Determine r, given that j(r) = 0.
-23, 0
Let o(i) be the second derivative o