. What is g?
-1, -2/9, 1/3, 1
Let s(g) be the second derivative of 3*g**5/140 + 5*g**4/7 - g**3/14 - 30*g**2/7 - 1488*g. Find c such that s(c) = 0.
-20, -1, 1
Let w(x) be the third derivative of 5*x**8/672 - 2*x**7/21 - x**6/12 + 4*x**5/3 + 3*x**2 + 59. Find y, given that w(y) = 0.
-2, 0, 2, 8
Let o be ((-6)/99 - (-8 + (-1255)/(-165))) + 1515/99. Find j, given that -o*j + 48/11 + 14/11*j**3 + 10/11*j**2 = 0.
-4, 2/7, 3
Let t = -47871 + 335098/7. Factor t*s**3 - 78/7*s**2 - 17576/7 + 2028/7*s.
(s - 26)**3/7
Let q(d) = 67*d**3 - 1023*d**2 + 4815*d - 477. Let l(u) = 33*u**3 - 513*u**2 + 2407*u - 239. Let t(o) = 9*l(o) - 4*q(o). Determine n so that t(n) = 0.
3/29, 9
Let l = -516 - -520. Suppose 7*z = 16*z + l*z. Factor 3/5*k**2 - 3/5 + z*k.
3*(k - 1)*(k + 1)/5
Let v = -3978 - -596701/150. Let r(c) be the second derivative of 0 + 1/9*c**3 - 17*c - 2/45*c**4 - 2/15*c**2 + v*c**5. Let r(z) = 0. What is z?
1, 2
Let l(y) be the second derivative of -2/3*y**5 + 17/36*y**4 + 0*y**2 + 8/45*y**6 + 0 + 31*y - 1/9*y**3. Determine w, given that l(w) = 0.
0, 1/4, 2
Let q(j) be the third derivative of -2*j**7/105 + 7*j**6/30 + 4*j**5/15 - 14*j**4/3 + 1513*j**2. Determine y, given that q(y) = 0.
-2, 0, 2, 7
Determine w so that 10/3*w**2 - 70/3*w**4 + 4/3*w + 0 - 64/3*w**3 = 0.
-1, -1/5, 0, 2/7
Suppose 3*w + 13 = 5*f, 5*f + 0*w - w = 21. Factor 8*p**2 + p**5 - 22*p**4 + 4*p**5 - 4*p**3 - 46*p**4 + 60*p**4 - p**f.
4*p**2*(p - 2)*(p - 1)*(p + 1)
Let 2/7*n**2 - 64*n + 3584 = 0. What is n?
112
Let c(p) be the first derivative of -5*p**4/4 - 855*p**3 - 438615*p**2/2 - 25001055*p + 868. Suppose c(d) = 0. What is d?
-171
Let b(u) be the first derivative of 5*u**4/12 + 55*u**3/6 + 25*u**2 + 59*u - 84. Let v(t) be the first derivative of b(t). Let v(g) = 0. Calculate g.
-10, -1
Let j(g) be the second derivative of -2 + 5/3*g**4 - 1/4*g**5 - 16*g - 160*g**2 + 40/3*g**3. Factor j(a).
-5*(a - 4)**2*(a + 4)
Let u be -4 - (-5112)/(-14)*2/(-4). Let m = -1248/7 + u. Factor -m*a**4 + 2/7*a**5 + 0*a**2 + 0*a + 0*a**3 + 0.
2*a**4*(a - 1)/7
Let n(g) be the third derivative of -g**7/210 + 119*g**6/120 - 3599*g**5/60 + 3481*g**4/24 - 431*g**2 + 2*g. Factor n(l).
-l*(l - 59)**2*(l - 1)
Let m(d) be the first derivative of 2*d**3/3 - 22*d**2 - 46*d + 5856. Solve m(o) = 0.
-1, 23
Let j(t) = -6*t**3 + 37*t**2 - 9*t + 24. Let w be j(6). Let p(o) be the third derivative of 1/150*o**5 - 1/30*o**4 + 0*o + 1/15*o**3 + w*o**2 + 0. Factor p(m).
2*(m - 1)**2/5
Solve -228 + 255*z - 128 + 457 + 7*z**2 - 249 = 0.
-37, 4/7
Let k = 26759/20067 - 1/6689. Let r = -9 + 13. Factor 0*q - 2/3*q**r - 2*q**3 + 0 - k*q**2.
-2*q**2*(q + 1)*(q + 2)/3
Suppose -96*p = 86 - 374. Let t(s) be the second derivative of 0 - 11*s + 1/66*s**4 + 1/11*s**2 - 2/33*s**p. Factor t(h).
2*(h - 1)**2/11
Factor 755/3*u**2 + 1/3*u**3 + 757/3 - 1513/3*u.
(u - 1)**2*(u + 757)/3
Let r(a) be the second derivative of 0 + 8/3*a**3 - 19/5*a**5 + 14/15*a**6 + 8/3*a**4 + 32*a + 0*a**2. Factor r(s).
4*s*(s - 2)*(s - 1)*(7*s + 2)
Let w = 44 + 54. Factor -18*y**2 - 89*y + 279*y - w*y - 91*y + 0*y**3 - y**3 + 18.
-(y - 1)*(y + 1)*(y + 18)
Factor -35 + 7*l**2 + 83/3*l + 1/3*l**3.
(l - 1)*(l + 7)*(l + 15)/3
Let f be -15*(-15)/18 + 4/8. Let q be (-12 + f)/((-1)/(-7)). Factor z + z + 8 + 3*z**2 - q*z**2 + 3*z**2.
-(z - 4)*(z + 2)
Let m = -16563/5 + 116131/35. Find l such that -m + 2/7*l**2 + 36/7*l = 0.
-19, 1
Suppose 19*q - 2*q - 85 = 0. Let -126*i**4 - 156*i**2 - 2*i + 20*i - 349*i**3 + 32*i**q - 82*i**4 + 735*i**3 = 0. What is i?
0, 1/4, 3
Let n(z) = 62*z**2 + 2. Let j(f) = 933*f**2 + 12786*f + 13623513. Let i(x) = -j(x) + 15*n(x). Factor i(k).
-3*(k + 2131)**2
Let i be (-4)/11 + (-39)/(41184/(-14464)). Factor 80/3*d**2 + 32/3 + 1/3*d**5 + i*d**3 + 80/3*d + 10/3*d**4.
(d + 2)**5/3
Let z(k) be the second derivative of k**6/2160 + k**5/240 + k**4/72 - k**3/6 + 2*k**2 + k - 22. Let h(t) be the second derivative of z(t). Factor h(y).
(y + 1)*(y + 2)/6
Let u be (-30)/9 + 3 - 16/(-3). Determine r, given that 55*r**4 + 322*r**3 - 10*r**u + 320*r + 100 + 385*r**2 + 15*r**5 - 107*r**3 = 0.
-5, -2, -1
Let f = 45 + -33. Factor 0 - 4*k - 18 + 4*k**3 - 2*k**4 + f + 8*k**2.
-2*(k - 3)*(k - 1)*(k + 1)**2
Let t(k) be the first derivative of k**3/6 + 39*k**2/2 - 79*k/2 + 1746. Find o, given that t(o) = 0.
-79, 1
Let g = -23296 + 23298. Determine d so that -36/11*d + 2/11*d**g + 162/11 = 0.
9
Let v(j) be the third derivative of -j**5/210 - 67*j**4/14 - 13467*j**3/7 - 37*j**2 - 3. Factor v(k).
-2*(k + 201)**2/7
Let i(a) be the first derivative of a**6/8 - 19*a**5/20 + 37*a**4/16 - 17*a**3/12 - 2*a**2 + 3*a - 4148. Suppose i(p) = 0. What is p?
-2/3, 1, 2, 3
Let k(v) = 2*v**2 + 22*v + 7. Let n be k(-12). Factor -26*a + 2*a**2 - 49 + 42 + n.
2*(a - 12)*(a - 1)
Let i be ((-19)/(-190)*(-4)/2)/((-1)/3). Let z(q) be the second derivative of q - i*q**5 + 2*q**3 + 3/4*q**4 - 6*q**2 + 0 + 1/10*q**6. What is t in z(t) = 0?
-1, 1, 2
Let u(p) = p**2 - 13*p + 20. Let v be u(2). Let g be 9/54*(-27)/v. Solve 6*d - g*d**2 - 4 = 0 for d.
4/3
Let d(t) be the second derivative of -3*t**5/100 - 3351*t**4/10 - 7486134*t**3/5 - 16724023356*t**2/5 - 3591*t. Determine k, given that d(k) = 0.
-2234
Let g(s) be the first derivative of s**5/35 - 4*s**4/7 - 64*s**3/7 + 1024*s**2/7 + 16384*s/7 + 780. Factor g(b).
(b - 16)**2*(b + 8)**2/7
Let m be ((8036/(-369))/(-49)*1*-1)/(24/(-18)). Suppose -m - 10/3*g**2 + 5/3*g + 1/3*g**5 + 10/3*g**3 - 5/3*g**4 = 0. Calculate g.
1
Find y such that -34*y**3 - 72*y + 182*y**2 - y**4 - 406*y + 184*y + 3*y**4 = 0.
0, 3, 7
Let p(s) = -s**2 - s - 3. Let q(a) = 2 + 11 - 19 + 9 - 1. Suppose -5*g = 9 + 21. Let u(o) = g*q(o) - 4*p(o). Factor u(r).
4*r*(r + 1)
Let o(r) be the third derivative of -r**9/120960 + r**8/10080 - r**7/3360 + 149*r**5/60 + 46*r**2. Let k(s) be the third derivative of o(s). Factor k(v).
-v*(v - 3)*(v - 1)/2
Solve 195*r + 9/2*r**2 + 0 - 3/2*r**3 = 0.
-10, 0, 13
Suppose -12*h + 11*h - 3*o - 8 = 0, -3*h + 28 = -4*o. Let n(j) = -10*j**2 - 10*j + 5. Let i(p) = 9*p**2 + 9*p - 4. Let f(v) = h*n(v) + 5*i(v). Factor f(x).
5*x*(x + 1)
Let c(t) = -4*t**2 - 45*t - 5. Let m be c(-11). Determine o, given that -42 + 3*o + 18 - m*o**3 + o**5 + 24 + 2*o**5 = 0.
-1, 0, 1
Suppose 42*f - 12*f + 60 = 0. Let v be (-5 - f)*(64/180)/(-8). Factor v*a**4 + 0*a**2 + 0*a + 2/15*a**3 + 0.
2*a**3*(a + 1)/15
Let n be (-952)/(-3570) - (-74)/60. Factor -n*u**2 - 5/4*u - 1/4*u**3 + 0.
-u*(u + 1)*(u + 5)/4
Let r be (90/(-285))/(18/(-114)). What is v in 31/3*v + 1/3*v**3 + 17/3*v**r + 5 = 0?
-15, -1
Let l = 3070601/8792 - -5/8792. Let z = l - 347. Factor -5/4*x**2 + z - 3/4*x - 1/4*x**3.
-(x - 1)*(x + 3)**2/4
Let m(p) be the third derivative of -p**6/240 - 7*p**5/40 + 11*p**4/24 - 113*p**2 - 4. Determine w so that m(w) = 0.
-22, 0, 1
Let m(n) be the third derivative of n**6/480 + 53*n**5/48 + 737*n**4/4 + 726*n**3 - 1456*n**2. Let m(p) = 0. What is p?
-132, -1
Let -238/5*k**2 + 48 + 68/5*k**3 - 68/5*k - 2/5*k**4 = 0. What is k?
-1, 1, 4, 30
Let v(f) = -f**3 - 5*f**2 - f - 2. Let y be v(-5). Suppose -17*r + 10 = -15*r. Solve y*x + r - 12 + 3*x**2 - 5 - 6 = 0 for x.
-3, 2
Factor 0 - 2/3*s + s**4 + 1/3*s**5 - s**2 + 1/3*s**3.
s*(s - 1)*(s + 1)**2*(s + 2)/3
Let s(q) be the third derivative of q**5/40 - 7*q**4/8 - 8*q**3 + 336*q**2. Find y, given that s(y) = 0.
-2, 16
Let p(c) = 3*c**3 - 116*c**2 + 91*c - 37. Let o(s) = -2*s**3 + 116*s**2 - 95*s + 36. Let m(k) = 7*o(k) + 6*p(k). Factor m(b).
(b + 30)*(2*b - 1)**2
Let v be 33*(312/1040)/((-18)/(-8)). Find c such that 2*c + 14/5*c**3 - 2/5*c**4 - v*c**2 + 0 = 0.
0, 1, 5
Factor -339*o**2 - o**3 + 189*o**2 + 153*o - 2*o**3.
-3*o*(o - 1)*(o + 51)
Factor -4/5*a**3 + 0 + 22/5*a**2 - 24/5*a.
-2*a*(a - 4)*(2*a - 3)/5
Let v = 207 + -159. Factor -v + 119*u**2 + 17*u + 35*u - 123*u**2.
-4*(u - 12)*(u - 1)
Factor -113*k**3 + 139*k**2 - 35*k**2 + 115*k**3 - 214*k + 108.
2*(k - 1)**2*(k + 54)
Let s(b) be the second derivative of -1/6*b**3 + 1/10*b**5 - 1/6*b**4 + 1/2*b**2 + 1/30*b**6 - 3*b - 1/42*b**7 + 4. Factor s(a).
-(a - 1)**3*(a + 1)**2
Suppose -32 = -2*j - 8. Let z(p) = -7*p - 44. Let n be z(-7). Suppose 6 + j*i**2 - i - 5*i**2 - n*i**2 + 9*i = 0. Calculate i.
-3, -1
Let f(o) be the second derivative of -o**6/30 - 3*o**5/5 - 9*o**4/4 - o