/6*d**2 + 2 + q*d = 0. What is d?
-2/7, 1, 6
Let q(d) be the third derivative of -d**6/30 + 11*d**5/20 - d**4 - 10*d**3 + d**2 + 5. Let r(t) = -t**3. Let w(j) = q(j) - r(j). Factor w(h).
-3*(h - 10)*(h - 2)*(h + 1)
Let i(u) be the third derivative of u**7/840 + u**6/240 - u**5/240 - u**4/48 + 7*u**2 + 26. Factor i(q).
q*(q - 1)*(q + 1)*(q + 2)/4
Let b be ((-779)/19 + 34)/(2/(-8)*7). Suppose -4/7*s**2 + 18/7*s**b + 2/7*s**5 + 4*s**3 - 30/7*s - 2 = 0. Calculate s.
-7, -1, 1
Suppose 0 = -26*l + 40*l + 168. Let i be (-32)/(6/l*20). Factor 2*w**2 + i*w + 2/5*w**3 + 8/5.
2*(w + 1)*(w + 2)**2/5
Let v(p) be the first derivative of p**4/2 + 784*p**3/3 - 393*p**2 - 758. Determine z so that v(z) = 0.
-393, 0, 1
Let b(x) be the third derivative of -x**7/420 - 83*x**6/240 - 81*x**5/40 - 241*x**4/48 - 20*x**3/3 + 3704*x**2. Factor b(d).
-(d + 1)**3*(d + 80)/2
Determine l, given that -2/5*l**4 + 2/5*l**5 - 342/5*l**2 - 102/5*l**3 - 324/5*l + 0 = 0.
-3, -2, 0, 9
Let v be (348/290)/((-3)/(-60)). Let t be (v/60)/((-3)/(-15)). Factor 3/5*r**t + 3/5 - 6/5*r.
3*(r - 1)**2/5
Let r(a) be the third derivative of 7/27*a**5 + 2/9*a**4 - 6*a + 0 - 4*a**2 - 2/45*a**6 - 8/3*a**3 + 2/945*a**7. Factor r(k).
4*(k - 6)**2*(k - 1)*(k + 1)/9
Suppose -1604*l + 3279 - 71 = 0. Let -16 + l*t**2 + 196/5*t = 0. Calculate t.
-20, 2/5
Let d(y) be the first derivative of 35*y**4/4 - 95*y**3/3 - 70*y**2 + 380*y - 6466. Factor d(g).
5*(g - 2)*(g + 2)*(7*g - 19)
Solve 980/3 + 1468/3*t - t**2 = 0.
-2/3, 490
Suppose -2*z + 4 = 4*g, -5*z + 2*g = -22 - 0. Factor 7*y**3 - z + 798*y**2 + 16*y + 9*y**3 - 4*y**4 - 822*y**2.
-4*(y - 1)**4
Let f(s) be the first derivative of -3*s**4/4 + 21*s**3 - 189*s**2/2 - 255*s - 5686. Let f(z) = 0. Calculate z.
-1, 5, 17
Suppose 0 = 76*g - 679 + 527. Let n(d) be the first derivative of -1/2*d**g + 6 + d + 1/12*d**3. Factor n(w).
(w - 2)**2/4
Let a = 132 - 122. Let t be a/(-2) + 31/((-992)/(-168)). Factor 1/4*y + 1/2*y**2 + 0 - t*y**5 + 0*y**3 - 1/2*y**4.
-y*(y - 1)*(y + 1)**3/4
Let i(j) be the second derivative of 16428*j**4 + 74*j**3 + j**2/8 + 8*j - 50. Let i(d) = 0. Calculate d.
-1/888
Let d(u) = -40*u**3 - 5270*u**2 + 5865*u + 32265. Let l(m) = 7*m**3 + 930*m**2 - 1035*m - 5694. Let o(i) = 8*d(i) + 45*l(i). Factor o(n).
-5*(n - 3)*(n + 2)*(n + 63)
Let w(f) be the first derivative of f**7/4200 - f**6/75 + 23*f**5/600 - 4*f**3/3 + 6*f - 121. Let q(s) be the third derivative of w(s). Factor q(c).
c*(c - 23)*(c - 1)/5
Let k(i) be the third derivative of 0*i**4 + 1/300*i**6 + 0 + 0*i + 0*i**3 - 22*i**2 + 1/75*i**5. Factor k(t).
2*t**2*(t + 2)/5
Let r(b) = -1299*b - 16885. Let m be r(-13). Factor -8/3*x**3 - 8/3*x**m + 2*x**4 + 0*x + 0.
2*x**2*(x - 2)*(3*x + 2)/3
Let s(k) = -97*k**4 - 25*k**3 + 153*k**2 + 189*k - 308. Let y(o) = 36*o**4 + 9*o**3 - 51*o**2 - 63*o + 102. Let i(a) = 3*s(a) + 8*y(a). Factor i(z).
-3*(z - 4)*(z - 1)*(z + 3)**2
Let f = 162157/7 - 23165. Factor -2/7*j**3 - 6/7*j - 10/7*j**2 + 0 + f*j**4.
2*j*(j - 3)*(j + 1)**2/7
Suppose -3*g + 2*h = 456, 3*g - 4*g - 152 = 3*h. Let x = -150 - g. Let 2/3 - 1/3*v**x - 1/3*v = 0. Calculate v.
-2, 1
Suppose -108 - 41 + 96*y + 80 - 37 + 87*y**2 - 74 - 3*y**3 = 0. Calculate y.
-2, 1, 30
Let v(o) = o**3 - 5*o**2. Let p(c) = -18*c**3 + 902*c**2 - 1612*c. Let a(n) = p(n) + 20*v(n). Factor a(z).
2*z*(z - 2)*(z + 403)
Let y = 68 - 38. Let q be 12/8*(-5)/(y/(-52)). Factor -6*a - 6*a**3 - 8*a + 4 + 2*a + a**4 + q*a**2.
(a - 2)**2*(a - 1)**2
Let c = -1310 + 1314. Let h be (c/(-6))/(1/(-6)). Factor i**5 + 4/3*i**h - 2/3*i**2 + 0 - 1/3*i**3 + 0*i.
i**2*(i + 1)**2*(3*i - 2)/3
Let m = -321 - -315. Let u be (-10)/m*(-618)/(-515). What is d in 4/11*d - 2/11*d**u + 2/11 - 4/11*d**3 = 0?
-1, -1/2, 1
Let q(f) = 565*f**2 + 515*f - 815. Let z(o) = 45*o**2 + 43*o - 68. Let g(p) = 2*q(p) - 25*z(p). Solve g(w) = 0.
2, 7
Let p(x) be the third derivative of 19*x**6/420 - 229*x**5/210 + 14*x**4/3 - 20*x**3/21 + 230*x**2 + 4. Determine r so that p(r) = 0.
1/19, 2, 10
Solve 45/2 + 3/4*f**2 + 39/4*f = 0 for f.
-10, -3
Let b(n) = -10113 - 2*n**2 - 8*n + 10110 + n**3 + 2*n**2. Let m(q) = q + 1. Let a = 13 - 12. Let p(v) = a*b(v) + 5*m(v). Determine h so that p(h) = 0.
-2, 1
Let g = -1017166 - -1017169. Find c, given that 0*c**4 + 5/2*c**g - 2*c + 0 + 0*c**2 - 1/2*c**5 = 0.
-2, -1, 0, 1, 2
Factor 41/2 - 39/4*z - 1/4*z**2.
-(z - 2)*(z + 41)/4
Let n(j) be the third derivative of 0*j**3 + 1/12*j**5 + 0*j + 0 + 1/6*j**4 - 17*j**2 + 1/120*j**6. Factor n(r).
r*(r + 1)*(r + 4)
Determine v so that 144/5 + 0*v**2 - 146/5*v + 2/5*v**3 = 0.
-9, 1, 8
Let z = -478 - -480. Let k be -1 + (6/(-20))/(12/(-88)). Find t such that 0 - k*t**3 + 0*t + 0*t**z = 0.
0
Let g(j) = j**3 - 4*j**2 - 149*j - 684. Let i(b) = 2*b**2 + b - 1. Let t(a) = -g(a) - 2*i(a). Find m such that t(m) = 0.
-7, 14
Let w(h) be the second derivative of 7/30*h**6 + 0*h**3 + 1/20*h**5 - 7/12*h**4 + 12*h - 1/42*h**7 + 0*h**2 + 0. Factor w(k).
-k**2*(k - 7)*(k - 1)*(k + 1)
Suppose -2*q = 11*y - 7*y - 34, -y - 29 = -2*q. Let t be 54/30 - q/25. Factor 3/5*k**2 - t - 3/5*k.
3*(k - 2)*(k + 1)/5
Let f(b) be the first derivative of 20*b**2 + 4/3*b**3 + 46 + 36*b. Factor f(i).
4*(i + 1)*(i + 9)
Let c be (-25 - -24)/(84/(-98)). What is t in 1/6*t**2 - t - c = 0?
-1, 7
Let t = -802 - 121. Let l be (t/(-234) + -4)/(1/(-2)). Solve l*q**2 - 1/3*q**3 + 1/3*q**4 + 0*q + 0 - 1/9*q**5 = 0.
0, 1
Let h be -4*(-7)/378*(36 + (-36)/(-6)). Suppose 8/3*b**2 - 8/9 - h*b**3 + 8/9*b**4 + 4/9*b = 0. What is b?
-1/2, 1, 2
Suppose -2*m + 4*t = -6, 4*m - 132 = 3*t - 120. Let i(p) be the first derivative of 1/4*p**m - 12 + 0*p + 15/4*p**2. Solve i(s) = 0.
-10, 0
Factor 116/3*i + 260/3*i**2 - 100/3*i**3 + 4.
-4*(i - 3)*(5*i + 1)**2/3
Factor 1 + 69*j - j**4 - 17 - 81*j**2 - 22 + 204*j**3 - 181*j**3 + 28*j.
-(j - 19)*(j - 2)*(j - 1)**2
Let g be ((-9 - 1) + (-290)/(-29))/((-4)/(-4)). Suppose g - 2/3*b**2 + 14/3*b = 0. What is b?
0, 7
Let p(r) be the third derivative of r**5/60 - 235*r**4/6 + 938*r**3/3 + r**2 + 229*r + 3. Factor p(f).
(f - 938)*(f - 2)
Factor -168/5*p + 2/5*p**3 - 4/5*p**2 + 144.
2*(p - 6)**2*(p + 10)/5
Let i(h) be the first derivative of h**4/6 + 160*h**3/9 - 83*h**2/3 - 108*h + 120. Solve i(w) = 0 for w.
-81, -1, 2
Let p(l) = -2*l + 3 + 3*l + 6 - 7. Let c be p(3). Determine m so that -56*m**4 - 15*m**3 - 3*m**2 + 8*m**2 - c*m**5 + 71*m**4 = 0.
0, 1
Let c(u) be the second derivative of u**5/30 + 55*u**4/6 + 728*u**3 - 7056*u**2 + 5*u + 37. Factor c(s).
2*(s - 3)*(s + 84)**2/3
Let x be 3/(-24)*((-3298)/(-255) + -26). Let h(l) be the second derivative of -46*l + x*l**4 + 4/5*l**2 - 28/15*l**3 + 0. Find k, given that h(k) = 0.
2/7
Let w(m) = -517*m + 95. Let o be w(-3). Suppose -1640 + 3286 + 6*g**2 + 3*g**3 - 9*g - o = 0. What is g?
-3, 0, 1
Let c(g) = 33*g**3 - 8*g + 10. Let f be c(4). Determine b, given that -f*b**4 - 15*b**2 - 4*b + 2095*b**4 - 36*b - 20 + 10*b**3 = 0.
-2, -1, 2
Suppose -1 - 5 = -2*g. Suppose p - 15 = -q, 3*q = -g*p + 8*q + 53. What is s in 6 - 3*s - 7*s**2 + p*s**2 + 10*s + 8*s = 0?
-1, -2/3
Let t(b) be the second derivative of -b**4/3 - 8*b**3/3 + 10*b**2 - 66*b - 1. Suppose t(c) = 0. What is c?
-5, 1
Let o = -60584 + 60588. Factor 1/6*t**o + 1/2*t**3 + 1/2*t**2 + 0 + 1/6*t.
t*(t + 1)**3/6
Let m be (1034/35)/11 - 96/(-336). Let r(n) be the first derivative of 32 + 0*n + 16/7*n**3 - 3/7*n**4 - m*n**5 - 10/7*n**6 + 8/7*n**2. Solve r(z) = 0.
-1, -2/5, 0, 2/3
Let x(f) = -2*f**4 + 17*f**3 + 141*f**2 + 232*f + 101. Let k(t) = -4*t**4 + 33*t**3 + 281*t**2 + 462*t + 203. Let g(v) = -3*k(v) + 5*x(v). Factor g(p).
2*(p - 13)*(p + 1)**2*(p + 4)
Let t be 207*1 - ((-90)/(-57))/((-48)/(-456)). Let 24*h**2 - t*h - 3/4*h**3 + 0 = 0. Calculate h.
0, 16
Solve -4330*h**2 - 346 + 414*h - 70 + 4332*h**2 = 0.
-208, 1
Let y = -12/52463 + 1836229/104926. Solve -y - 15*n + 5/2*n**2 = 0.
-1, 7
Suppose 0 = 17*r - 47 + 353. Let w(a) = -16*a**2 - 198*a + 4041. Let l(g) = -2*g**2 - 2*g - 1. Let o(f) = r*l(f) + 2*w(f). Factor o(x).
4*(x - 45)**2
Let n be (-2604)/216 - -12 - (-2)/30. Let m(z) be the third derivative of 0 - n*z**5 - 2/3*z**3 - 5/36*z**4 + 0*z + 3*z**2. What is u in m(u) = 0?
-3, -2
Let k be 24 + (0 - (1 + 0)) + -3. Let -15*t**3 - 34*t**4 + 7*t + 14*t**4 + k*t**2 + 0*t**5 + 13*t - 5*t**5 = 0. Calcula