be m(-6). Let a be 52/132 + 2/(-24)*n. What is c in -4/11 - a*c**2 - 18/11*c = 0?
-2, -1/4
Let c(o) be the first derivative of o**8/7560 - o**7/1260 - o**6/180 - o**5/108 + 12*o**3 - 301. Let w(t) be the third derivative of c(t). Factor w(s).
2*s*(s - 5)*(s + 1)**2/9
Let b be 1 - ((-8)/(-16) + 282/568). Let z = b - -4533/3124. Solve -20/11*n + z - 40/11*n**3 - 166/11*n**2 = 0 for n.
-4, -2/5, 1/4
Let n be (-5 - (-13)/((-78)/(-60)))*1. Find p such that -11*p**5 - 48*p**3 - 21*p**5 - 6*p**n + 52*p**4 + 34*p**5 = 0.
0, 1, 12
Let y(f) be the second derivative of -1/54*f**4 - 73 - 32/27*f**3 + 11/3*f**2 - f. Determine r so that y(r) = 0.
-33, 1
Let d be (-3)/((-18)/(-21))*12/(-21). Find m, given that -381*m**d - 288*m + 101*m**2 + 44*m**4 - 248*m**2 + 26*m**3 - 2*m**5 - 220*m**3 = 0.
-1, 0, 12
Let a(p) be the third derivative of p**5/60 - p**4/8 + p**3/3 - p**2. Let t be a(3). Let 10*n - n**3 + 15*n + 2*n**t - 2 - 24*n = 0. Calculate n.
-1, 1, 2
Solve 3/2*z**3 - 3/2*z - 3/4*z**4 + 0*z**2 + 3/4 = 0.
-1, 1
Factor 704*j + 1200 + 136*j**2 + 241*j + 32*j**2 - 21*j + 3*j**3.
3*(j + 2)*(j + 4)*(j + 50)
Let x(t) be the second derivative of t**7/63 - 466*t**6/45 + 54289*t**5/30 - 815*t. Factor x(f).
2*f**3*(f - 233)**2/3
Factor 1/5*v**3 - 261*v**2 + 113535*v - 16462575.
(v - 435)**3/5
Let n(x) be the third derivative of -x**9/9072 + x**8/1008 - 11*x**3/3 - 8*x**2 - 3*x. Let z(k) be the first derivative of n(k). Factor z(b).
-b**4*(b - 5)/3
Determine p so that 1/6*p**2 + 35/2 - 11/3*p = 0.
7, 15
Let f(w) be the second derivative of 95*w**4/12 - 5215*w**3/6 - 275*w**2 - 532*w. Determine d so that f(d) = 0.
-2/19, 55
Suppose 96 = -30*i + 14*i. Let p be 51/(-34) + (-99)/i. Find d, given that 21*d**3 + 3/5*d**5 + 0 - p*d**2 + 0*d - 33/5*d**4 = 0.
0, 1, 5
Let m(y) be the second derivative of y**4/18 - 41*y**3/9 + 26*y**2 - 1773*y. Find z, given that m(z) = 0.
2, 39
Suppose 3*u - 2*i - 152 = 0, -36 - 76 = -2*u + 4*i. Let b = 52 - u. Suppose 4*r**5 + 3*r + 8*r**2 - 11*r**4 - 16*r**3 + b*r + 5*r + 3*r**4 = 0. Calculate r.
-1, 0, 1, 3
Factor -63/2*f**2 - 187/2*f + 3.
-(f + 3)*(63*f - 2)/2
Suppose -4*t = -4*i - 194 + 650, 5*t + 542 = -2*i. Let r be ((-22)/t)/(2/20). Factor -6*w**2 + 3*w**2 + 8*w**2 - 3*w - r*w.
5*w*(w - 1)
Let j = 11413/6 + -1901. Let a(g) be the second derivative of -6*g - j*g**3 + 7/80*g**5 - 1/24*g**4 + g**2 + 0. Solve a(i) = 0.
-2, 2/7, 2
Let y(z) be the third derivative of z**7/42 + 3*z**6/8 - 65*z**5/2 + 1540*z**4/3 - 2880*z**3 - 2474*z**2. Let y(h) = 0. Calculate h.
-27, 2, 8
Factor 97*f**3 + 365*f**2 + 87*f**3 + 12 + 15*f**2 + 208*f.
4*(f + 1)**2*(46*f + 3)
Let 8/5*b**2 + 89/5*b + 11/5 = 0. What is b?
-11, -1/8
Let u = 86197 + -258587/3. Factor u*o**5 + 5/3*o**3 + 8/3*o**4 + 0 + 0*o + 1/3*o**2.
o**2*(o + 1)*(2*o + 1)**2/3
Let b be (2/5)/(6/45). Suppose 4*o - 86 = -2*q, 0 = -5*o + b*q - 6*q + 109. Factor 11436*t**2 - 11428*t**2 - 14*t + 2*t**3 - o + 0*t**3.
2*(t - 2)*(t + 1)*(t + 5)
Let l(r) be the first derivative of r**6/66 + 24*r**5/55 + 137*r**4/44 + 42*r**3/11 - 144*r**2/11 + 7654. Find y, given that l(y) = 0.
-16, -6, -3, 0, 1
Let g be (-141)/(-63) - -15*(-10)/(-350). Let l(j) be the first derivative of -4/3*j - 23/9*j**3 + 7/6*j**4 + g*j**2 - 1/5*j**5 - 23. What is v in l(v) = 0?
2/3, 1, 2
Let z(g) be the second derivative of -g**7/42 + g**6/5 + 21*g**5/10 - 38*g**4/3 + 53*g**3/2 - 27*g**2 + 203*g + 2. Factor z(r).
-(r - 9)*(r - 1)**3*(r + 6)
Let j = 3496/5247 - -2/5247. Let i(q) be the second derivative of -2/21*q**7 + 2/5*q**5 + 5*q - 2/3*q**4 + 0 + 2/15*q**6 - j*q**3 + 2*q**2. Factor i(g).
-4*(g - 1)**3*(g + 1)**2
Let h(a) = 135*a**3 - 861*a**2 - 786*a + 252. Let j(f) = -27*f**3 + 172*f**2 + 157*f - 50. Let q(p) = 4*h(p) + 21*j(p). What is n in q(n) = 0?
-1, 2/9, 7
Let c(v) be the second derivative of 2*v + 1/60*v**6 + 5 + 500*v**2 - 4/5*v**5 - 400/3*v**3 + 15*v**4. Factor c(j).
(j - 10)**3*(j - 2)/2
Suppose 0 = 12*m - 697 - 3191. Let i = 326 - m. Determine y, given that 1/4*y**i + 0 - 5/4*y = 0.
0, 5
Let v(i) be the first derivative of i**4/18 - 140*i**3/27 + 988*i**2/9 + 5776*i/3 + 1664. Factor v(m).
2*(m - 38)**2*(m + 6)/9
Let v(k) = k**2 - 12*k + 9. Let s be v(0). Let w be (s - 14)/((-5)/2). Let -4/11*g**w + 2/11*g**3 + 1/11*g**4 - 2/11*g + 3/11 = 0. Calculate g.
-3, -1, 1
Factor 1/3*t**2 - 14/3*t + 11.
(t - 11)*(t - 3)/3
Let k(f) = -2*f**3 + 40*f**2 - 148*f + 74. Let z(p) = p**3 - 20*p + 1. Let y(t) = -k(t) + 2*z(t). Solve y(s) = 0.
1, 3, 6
Let h be (-159)/12 + (22 - 8). Let w(f) be the first derivative of 5 - 12*f - h*f**4 + 6*f**2 + f**3. Factor w(z).
-3*(z - 2)*(z - 1)*(z + 2)
Let t(m) = -65*m**2 - 485*m + 495. Let n(u) = -77*u**2 - 485*u + 496. Let b(d) = 5*n(d) - 6*t(d). Factor b(i).
5*(i - 1)*(i + 98)
Let y(u) be the third derivative of 7*u**6/40 - 461*u**5/20 + 389*u**4/8 + 65*u**3/2 + 4229*u**2 - u. Solve y(k) = 0 for k.
-1/7, 1, 65
Let -2876/9*c + 2/9*c**2 + 1033922/9 = 0. What is c?
719
Let u(j) be the second derivative of j**4/54 - 104*j**3/9 + 2704*j**2 + 124*j - 5. Factor u(q).
2*(q - 156)**2/9
Let a be ((-24)/246)/(44/(-902)). Factor 6 + 2*o + 1/6*o**a.
(o + 6)**2/6
Let u(r) = 39*r - 83. Let i be u(2). Let x be 9/10 + i*24/(-200). Let 3*w**2 - 3/2*w**3 - 3 + x*w = 0. Calculate w.
-1, 1, 2
Let o(t) = -t**3 + 212*t**2 + 1094*t - 1951. Let l be o(217). Factor 4/5*q + 2/5 + 2/5*q**l.
2*(q + 1)**2/5
Suppose u - 11 = -9*o + 7*o, -2*o + 5*u = 7. Let q(v) = v**2 + 11*v + 8. Let r(s) = s**2 + 10*s + 9. Let d(i) = o*r(i) - 3*q(i). Find g, given that d(g) = 0.
-4, -3
Suppose -178 = -4*m - 3*c, -4*m + 258 = c + 84. Suppose -y - 169 = -5*y + 3*f, y - m = f. Factor 12*p**4 - y*p**5 + 22*p**5 + 22*p**5.
4*p**4*(p + 3)
Let j = 122103/11 - 2075157/187. Find y such that -56/17 + j*y + 2/17*y**2 = 0.
-28, 1
Suppose -13 = -21*t + 92. Find u, given that 2*u**5 + u**t - 41*u**4 - 4*u**5 + 38*u**4 = 0.
-3, 0
Let w(b) = -5*b**2 - 66*b + 63. Suppose -2*x + 7*x = -15. Let l(z) = -3*z**2 - 66*z + 63. Let v(y) = x*w(y) + 4*l(y). Solve v(k) = 0 for k.
1, 21
Let t(y) be the second derivative of -y**7/280 - y**6/40 + y**5/10 + 3*y**4/2 + 33*y**3/2 + y**2 + 66*y. Let l(r) be the second derivative of t(r). Factor l(k).
-3*(k - 2)*(k + 2)*(k + 3)
Let k(v) be the second derivative of -v**5/18 + 2*v**4/9 - v**3/3 - 23*v**2/2 + 95*v. Let b(s) be the first derivative of k(s). Factor b(h).
-2*(h - 1)*(5*h - 3)/3
Let h(i) = 37*i - 29. Let y be h(3). Suppose 41 = 41*z - y. Find v such that -4/7*v + 4/7 + 4/7*v**z - 4/7*v**2 = 0.
-1, 1
Find k, given that -2/17*k**2 - 2228/17 - 2230/17*k = 0.
-1114, -1
Let y(r) be the first derivative of 5*r**4/4 - 3245*r**3 + 6318015*r**2/2 - 1366797245*r - 136. Find p such that y(p) = 0.
649
Let q(s) = -s - 8. Let b(g) = 44*g - 132. Let j(v) = -b(v) + 4*q(v). Let m be j(2). Factor 0 - 2/15*d - 2/15*d**m - 2/5*d**2 - 2/5*d**3.
-2*d*(d + 1)**3/15
Suppose -4*q - 997 = 3*h, -4*q = -9*h + 6*h + 1003. Let n = -247 - q. Factor -5/8*s + 1/4 + 1/8*s**2 + 1/4*s**n.
(s - 1)*(s + 2)*(2*s - 1)/8
Let h(g) = -69*g**2 - 31880*g - 921. Let l be h(-462). Suppose 10/7*c**2 - 2/7*c**l - 16/7 - 4/7*c = 0. What is c?
-1, 2, 4
Suppose -8*h + 4*h + m = -2325, 0 = -h - 4*m + 560. Let v = h - 2899/5. Let -1/5*l**3 - 1/5 + 1/5*l**2 + v*l = 0. What is l?
-1, 1
Let 16/3*i**3 - 316/3*i**2 - 500/3 - 2080/3*i = 0. What is i?
-5, -1/4, 25
Let u(g) = -g**3 + g. Let r(f) = 10*f**3 + 100*f**2 + 495*f. Let s = 282 + -281. Let w(y) = s*r(y) + 5*u(y). Solve w(m) = 0 for m.
-10, 0
Let d(a) be the second derivative of -a + 0*a**5 - 5*a**5 - 8*a**3 - 8*a**3 + 14*a**4 + a**4 + 8*a**2 - 21. Suppose d(n) = 0. What is n?
2/5, 1
Let m(s) = 6*s**3 + 54*s**2 + 80*s + 92. Let k(q) = 7*q**3 + 62*q**2 + 80*q + 91. Let b(d) = -4*k(d) + 5*m(d). Factor b(v).
2*(v + 3)*(v + 4)**2
Let g(j) be the third derivative of -j**6/20 - 13*j**5/60 + j**4/8 + 5*j**3/3 - 149*j**2. Find y such that g(y) = 0.
-2, -1, 5/6
Solve -82/3*y**3 + 0 - 2/9*y**5 + 602/9*y**2 - 392/9*y + 38/9*y**4 = 0.
0, 1, 4, 7
Let y be 20*((-4)/(-10))/1. Let a(u) = 5*u - 37. Let o be a(y). Factor 5*c**o - 8*c**4 - 3*c**4 + 6*c**4.
-5*c**3*(c - 1)
Let u = -43 + 171. Factor 75*b**3 - u + 61*b**2 + 205*b + 81*b**2 + 64*b**2 - 62*b**3 + 595*b.
(b + 8)**2*(13*b - 2)
Let p(o) = -2*o**3 + 8 + 6*o**3 + 2*o - 11. Let g b