2*(152*c - 5)**2/17
Let m(i) be the third derivative of -9*i**8/56 + 33*i**7/35 - 97*i**6/80 - 11*i**5/10 - i**4/4 + 90*i**2. Suppose m(a) = 0. What is a?
-1/6, 0, 2
Let j(g) be the first derivative of -g**4/14 - 8*g**3/3 - 128*g**2/7 + 2048*g/7 - 3913. Factor j(c).
-2*(c - 4)*(c + 16)**2/7
Suppose 7*b**4 - 11*b**4 - 316*b + 115146*b**2 - 116*b**3 - 104 - 115470*b**2 = 0. Calculate b.
-26, -1
Let q = 258577 - 258567. Determine l, given that -q - 32/3*l - 2/3*l**2 = 0.
-15, -1
Let v = 246406/5 + -49281. Let 1/5*y**2 + v*y + 0 = 0. Calculate y.
-1, 0
Let d(o) be the third derivative of o**7/42 + 7*o**6/2 - o**5/12 - 35*o**4/2 + 3*o**2 + 102. Let d(m) = 0. Calculate m.
-84, -1, 0, 1
Let 4*d**2 - 16 - 38/3*d + 2/3*d**3 = 0. Calculate d.
-8, -1, 3
Factor 0*r - 2/15*r**4 + 0 - 2/5*r**3 + 72/5*r**2.
-2*r**2*(r - 9)*(r + 12)/15
Let q(l) be the first derivative of l**5/60 + l**4/24 - l**3/3 - 105*l**2/2 + 90. Let d(a) be the second derivative of q(a). Determine o so that d(o) = 0.
-2, 1
Let k(q) be the first derivative of -7 - 2/45*q**3 + 0*q + 0*q**2. Factor k(b).
-2*b**2/15
Let w(n) = n**2 + 6*n - 39. Let o be w(5). Factor 316 + 2*y**4 - 7*y**3 + 156*y**2 - 384*y + o*y**2 - 25*y**3 + 4*y**2 - 28.
2*(y - 6)**2*(y - 2)**2
Let j(n) be the second derivative of n**4/3 + 6332*n**3/3 - 6334*n**2 - 16*n + 71. Factor j(i).
4*(i - 1)*(i + 3167)
Let f = -68 - -41. Let z = f - -29. Factor 0*i**z + 16*i + 21*i**4 - 29*i**4 + 16*i**2 + 4*i**5 - 12*i**3.
4*i*(i - 2)**2*(i + 1)**2
Let t be -4 + (7 - 0 - 3). Let n be (-172)/(-215) + (t - 4)*-1. Factor 6/5*j**2 + 18/5 - n*j.
6*(j - 3)*(j - 1)/5
Factor 1/6*m**4 + 0 - 44/3*m**3 - 1/6*m**2 + 44/3*m.
m*(m - 88)*(m - 1)*(m + 1)/6
Determine f, given that -2/5*f**2 + 342/5*f - 68 = 0.
1, 170
Let o(c) = -c**2 + 2167*c + 289439. Let n(z) = z**2 - 3*z + 1. Let r(w) = 5*n(w) + o(w). Factor r(f).
4*(f + 269)**2
Let x be (4950/(-88))/75 + (4598/24)/11. Factor 15/2*b + 5/6*b**2 + x.
5*(b + 4)*(b + 5)/6
Let d(p) be the second derivative of p**6/10 + 6*p**5/5 - 59*p**4/4 + 39*p**3 + 1921*p. Factor d(f).
3*f*(f - 3)*(f - 2)*(f + 13)
Let m(k) be the third derivative of k**6/360 - 107*k**5/180 - 217*k**4/72 - 109*k**3/18 + 2*k**2 - 537*k. Solve m(v) = 0.
-1, 109
Let d(l) be the second derivative of 2*l**7/21 - 6*l**6/5 - 3*l**5/5 + 29*l**4/3 - 12*l**3 + 779*l. Solve d(f) = 0.
-2, 0, 1, 9
Find u such that 480 + 158*u - 2/3*u**2 = 0.
-3, 240
Let v(j) = j**2 + 2*j - 22. Suppose 6*r = -11*r + 68. Let b be v(r). Suppose -8/11*f + 2/11*f**4 + 8/11 + 4/11*f**3 - 6/11*f**b = 0. What is f?
-2, 1
Let q(u) be the third derivative of -u**6/120 - u**5/20 + 3*u**4/4 + 20*u**3/3 - 1895*u**2. Factor q(f).
-(f - 4)*(f + 2)*(f + 5)
Find y such that y**2 + 157 + 72*y + 150 - 67 + 2*y**2 = 0.
-20, -4
Let n(r) be the first derivative of -r**6/90 - r**5/6 - 2*r**4/3 + 65*r**3/3 - 28. Let u(d) be the third derivative of n(d). Factor u(f).
-4*(f + 1)*(f + 4)
Factor 44/3*r**2 + 0 + 4/3*r**4 + 136*r - 24*r**3.
4*r*(r - 17)*(r - 3)*(r + 2)/3
Let y(n) = -9*n**2 - 695*n - 691. Let i(g) = 15*g**2 + 1043*g + 1036. Let v(w) = 5*i(w) + 8*y(w). Determine m so that v(m) = 0.
-1, 116
Let d(x) be the third derivative of -37*x**5/300 - 19*x**4/20 - 3*x**3/10 + 245*x**2. Factor d(p).
-(p + 3)*(37*p + 3)/5
Let 237*t**3 + 5*t - 6*t - 40*t**4 - 185*t**3 + 88*t**2 - 4*t**5 + t = 0. What is t?
-11, -1, 0, 2
Let z(x) be the second derivative of x**7/147 - x**6/35 + x**5/35 + x**4/21 - x**3/7 + x**2/7 - 17*x + 2. Determine t so that z(t) = 0.
-1, 1
Let m be (-2)/10 - (-11872)/160. Let v be 20/120 + m/132. Factor v - 2/11*j**2 + 6/11*j.
-2*(j - 4)*(j + 1)/11
Suppose 677*b = -11*b + 963 + 413. Factor 28 - b*x**2 - 122/3*x.
-2*(x + 21)*(3*x - 2)/3
Determine o so that -20*o + 399 - 50*o**2 + 5*o**3 + 20*o**4 - 235 + 5*o**5 - 124 = 0.
-2, 1
Let d(c) be the second derivative of -c**7/42 + 2*c**6/15 - c**5/5 + 85*c - 4. Factor d(x).
-x**3*(x - 2)**2
Suppose -18*w = -16*w - 186. Factor -102*c**3 - 104*c**2 + 64*c - 194*c + w*c + 69*c + 20*c**2 + 14*c**4.
2*c*(c - 8)*(c + 1)*(7*c - 2)
Let n be 4 - (3 + (-6)/2). Suppose n*p - 3*p = -l + 7, 5*l = 3*p + 3. Determine d, given that -3*d - 6 + l*d**2 - d**2 + d**2 = 0.
-1, 2
Let q = 225 - 221. Let i(w) be the third derivative of 0*w + 1/270*w**5 - 12*w**2 - 1/54*w**q + 0 + 0*w**3. Factor i(d).
2*d*(d - 2)/9
Suppose -1248 = 140*g - 764*g. Factor -1/5*y**5 + 3/5*y**3 + 0*y - 2/5*y**g + 0 + 0*y**4.
-y**2*(y - 1)**2*(y + 2)/5
Let x(b) = b**3 + 22*b**2 - 2*b - 39. Let h be x(-22). Suppose h*z = 5*w + 20, -5*z - w - 8 = -8*z. Determine c so that 8/3*c**z + 56/3*c + 98/3 = 0.
-7/2
Let k = 10134757/7 + -1447615. Factor -132/7*y - 3/7*y**2 - k.
-3*(y + 22)**2/7
Let p(d) be the third derivative of 35*d**6/204 - 991*d**5/170 - d**4/6 - d**2 - 382*d + 2. Factor p(g).
2*g*(g - 17)*(175*g + 2)/17
Let x(y) be the third derivative of y**6/8 + 117*y**5/20 - 9*y**4 + y**2 + 5546. Solve x(a) = 0.
-24, 0, 3/5
Factor 88*d - 4961024 + 6*d**3 + 4961024 + 74*d**2.
2*d*(d + 11)*(3*d + 4)
Let u(h) be the second derivative of -7/90*h**4 + 12 + 0*h**2 - 2/45*h**3 - h + 2/75*h**5. Solve u(q) = 0.
-1/4, 0, 2
Let o be -25*2/8*-4. Factor 19*u**3 - 12*u**3 + 90*u**2 + 13*u**3 - o*u + 19*u**3 + 4*u**4.
u*(u + 5)**2*(4*u - 1)
Let z(h) be the first derivative of h**6/33 + 60*h**5/11 + 2886*h**4/11 + 21904*h**3/33 - 2041. Solve z(d) = 0 for d.
-74, -2, 0
Let l = 1125573/7 + -160796. Factor 6/7 + l*m - 1/7*m**3 - 6/7*m**2.
-(m - 1)*(m + 1)*(m + 6)/7
Let b(u) be the second derivative of u**8/8400 - u**7/1400 - u**6/1800 + u**5/200 + u**3/2 - u - 17. Let h(r) be the second derivative of b(r). Factor h(t).
t*(t - 3)*(t - 1)*(t + 1)/5
Let j(k) be the first derivative of -k**6/2 - 21*k**5/5 + 129*k**4/2 - 168*k**3 - 149. Determine h, given that j(h) = 0.
-14, 0, 3, 4
Suppose 0 = -7*i + 10*i - 6. Factor -15*r**2 + 224*r - 88 + 14*r**i - 9*r**2.
-2*(r - 22)*(5*r - 2)
Let p be -2 - ((-8 - 1) + 4). Let t(c) = 5*c**2 - 476*c + 19200. Let j(g) = 6*g**2 - 474*g + 19200. Let l(m) = p*t(m) - 2*j(m). Factor l(b).
3*(b - 80)**2
Suppose 5*w + 8 = -2. Let a be 918/21 - w/7. Factor 23*l + a*l**2 + 15 + 16*l + 2*l**4 + 9*l + 3 + 16*l**3.
2*(l + 1)**2*(l + 3)**2
Let k(o) be the second derivative of 2*o**6/15 + 27*o**5/5 + 80*o**4 + 1400*o**3/3 - 122*o - 2. Factor k(b).
4*b*(b + 7)*(b + 10)**2
Let g(z) be the third derivative of -z**6/840 - z**5/420 + 5*z**4/168 - z**3/14 + z**2 - 1027*z. Solve g(h) = 0.
-3, 1
Let l(s) be the third derivative of -s**5/480 - 857*s**4/48 - 734449*s**3/12 + 12*s**2 - 2*s - 7. Factor l(k).
-(k + 1714)**2/8
Solve 73*m**2 - m**4 + 20*m**3 + 2*m**4 + 28*m**2 + 90 + 171*m + 7*m**3 - 6*m**3 = 0.
-15, -3, -2, -1
What is f in 12 + 0*f + f + 505*f**2 - 167*f**2 - 173*f**2 - 166*f**2 = 0?
-3, 4
Let c(r) be the first derivative of r**5/20 + 109*r**4/16 - 345*r**3/4 + 3159*r**2/8 - 1593*r/2 - 4532. Suppose c(v) = 0. Calculate v.
-118, 3
Let m be (-4)/(-10) + -19*(-234)/1710. Let l(z) be the second derivative of -2/3*z**2 - 4*z - 2/9*z**m + 0 + 1/12*z**4. Let l(j) = 0. What is j?
-2/3, 2
Let t(v) be the second derivative of -13 + 9*v**2 + 15/4*v**4 + 3/10*v**5 + 19/2*v**3 + 2*v. Determine u, given that t(u) = 0.
-6, -1, -1/2
Suppose -744 = 21*r - 849. Let c(k) be the third derivative of 26*k**2 + 1/12*k**3 - 1/96*k**4 + 0*k + 0 - 1/240*k**r. Find j, given that c(j) = 0.
-2, 1
Let m(j) = 16*j**2 + 1262*j. Let z(o) = 5*o**2 + 421*o. Let k(n) = 3*m(n) - 10*z(n). Factor k(y).
-2*y*(y + 212)
Let d(v) be the first derivative of 9*v**4/8 + 22*v**3 - 189*v**2/4 + 24*v - 1585. Factor d(r).
3*(r - 1)*(r + 16)*(3*r - 1)/2
Let m(h) = -h**5 + 5*h**4 + 6*h**3 - 4. Let t(q) be the third derivative of q**7/35 + q**6/20 - q**3/2 + 2*q**2 - 27*q. Let i(n) = 3*m(n) - 4*t(n). Factor i(z).
-3*z**3*(z + 1)*(z + 2)
Let t(m) = 151*m - 6 - 307*m + 151*m. Let f be t(-2). Factor -244 - 7*j**2 + 253 + f*j**2 - 6*j.
-3*(j - 1)*(j + 3)
Let k(a) be the first derivative of a**5 - 375*a**4/4 - 1085*a**3 - 5365*a**2/2 - 2490*a - 1330. Find p, given that k(p) = 0.
-6, -1, 83
Let b(z) = -z**5 - z**3 - 4*z**2 - z - 1. Let f(p) = -4*p**5 + 7*p**4 + 99*p**3 + 258*p**2 + 24*p - 408. Let t(q) = 6*b(q) - 2*f(q). Let t(w) = 0. Calculate w.
-3, 1, 15
Let q be (72/144)/(0 + (-2)/60). Let u be 42/q - (-41 - -34). Let -12/5 - 44