ulate i.
-4, -9/4
Let c be 231/70 - 216/120. Let g(q) be the first derivative of -14/9*q**3 - 2/3*q**5 + c*q**4 + 1/9*q**6 + 0*q + 2/3*q**2 - 29. Let g(h) = 0. Calculate h.
0, 1, 2
Suppose 0 = -37*f + 34*f + 3*k - 33, 3*f = k - 3. Factor 6*i**2 - 3/2*i**5 + 0 - 27/2*i**3 + 0*i + 9*i**f.
-3*i**2*(i - 4)*(i - 1)**2/2
Let z(q) be the third derivative of q**8/3360 - q**7/150 + 13*q**6/1200 - 10*q**2 - 24. Let z(v) = 0. Calculate v.
0, 1, 13
Suppose -n - 3044*r + 3045*r = -12, 3*n + 4 = -r. Suppose -9/5*y + 28/5*y**n + 0 - 6*y**3 - 1/5*y**5 + 12/5*y**4 = 0. What is y?
0, 1, 9
Let k(y) be the first derivative of 2*y**3/45 + 131*y**2/15 - 268*y/5 + 1423. Factor k(w).
2*(w - 3)*(w + 134)/15
Let w = 6883/126624 - 3/1319. Let m(r) be the third derivative of 1/120*r**5 - 29*r**2 + 0*r + 0 - 1/8*r**3 - w*r**4. Factor m(k).
(k - 3)*(2*k + 1)/4
Let i(h) be the third derivative of h**7/20160 + h**6/640 + h**4/3 - h**3/2 + h**2 - 21. Let k(a) be the second derivative of i(a). Factor k(f).
f*(f + 9)/8
Factor 2/7*a**5 + 0*a**3 + 0*a + 0*a**2 + 6/7*a**4 + 0.
2*a**4*(a + 3)/7
Let x(i) be the second derivative of -i**9/3780 - 3*i**8/280 - 9*i**7/70 - 3*i**6/5 - 3*i**4/4 + 6*i - 3. Let c(m) be the third derivative of x(m). Factor c(p).
-4*p*(p + 3)**2*(p + 12)
Let h(m) be the second derivative of m**7/630 + m**6/36 + m**5/30 - 7*m**4/36 + 9*m**3 - 31*m. Let p(r) be the second derivative of h(r). Factor p(x).
2*(x + 1)*(x + 7)*(2*x - 1)/3
Let d(a) be the third derivative of a**6/360 - 19*a**5/12 + 9025*a**4/24 + 313*a**3/6 - 330*a**2. Let o(l) be the first derivative of d(l). Factor o(i).
(i - 95)**2
Let v be 0/((-11)/((-22)/(-4))). Let g = 0 + 3. Let v*x + 6*x**g - 5*x - 3*x + 2*x - 3*x**2 + 3*x**4 = 0. What is x?
-2, -1, 0, 1
Let r(q) be the third derivative of -q**6/1200 + 7*q**5/300 + 89*q**4/240 + 19*q**3/10 - 2*q**2 + 1315*q. Solve r(d) = 0 for d.
-3, -2, 19
Let x = -2503 + 2506. Let z(t) be the first derivative of 16*t + 20/3*t**x + 20 + 16*t**2 + t**4. What is r in z(r) = 0?
-2, -1
Let w(m) be the third derivative of -m**5/20 - 37*m**4/4 - 737*m**2. Suppose w(k) = 0. What is k?
-74, 0
Let j(o) be the second derivative of -o**4/6 - 5096*o**3/3 - 6492304*o**2 - 3172*o - 1. Factor j(u).
-2*(u + 2548)**2
Let z(k) be the first derivative of k**4/14 + 11*k**3/7 + 5*k**2/7 - 96*k/7 + 947. What is a in z(a) = 0?
-16, -2, 3/2
Let j = -96105 - -96105. Solve 27/2*w**2 + j*w + 3*w**3 + 0 = 0.
-9/2, 0
Determine v, given that -2*v**3 + 28*v - 4*v**2 - 39*v + 52*v - 144 + 37*v = 0.
-8, 3
Let r = 39/541 + 6219/3787. Let s(i) be the first derivative of -2/7*i**3 + r*i + 3/7*i**2 - 36. Suppose s(a) = 0. What is a?
-1, 2
Let r(f) be the second derivative of f**5/20 - 10*f**4/3 - 83*f**3/6 - 21*f**2 - 4*f - 1. Solve r(g) = 0 for g.
-1, 42
Let l(a) be the second derivative of a**4/72 - 53*a**3/9 - 71*a**2/4 - 43*a + 9. Solve l(y) = 0.
-1, 213
Let j(q) = 5*q**3 + 206*q**2 + 785*q + 782. Let s(b) = -2*b**3 + b**2 + 7*b - 2. Let d(y) = -j(y) - s(y). Factor d(n).
-3*(n + 2)**2*(n + 65)
Suppose -9 + 2 = -36*z - 7. Let q(p) be the third derivative of 0 + 1/105*p**7 + 1/3*p**3 + z*p**4 + 0*p**6 + 6*p**2 + 0*p - 1/15*p**5. Let q(a) = 0. What is a?
-1, 1
Let y(x) = 10*x**2 - 535*x - 1060. Let q(d) = -3*d**2 + 269*d + 530. Let f(m) = -5*q(m) - 2*y(m). Factor f(u).
-5*(u + 2)*(u + 53)
Let l(s) be the first derivative of -s**6/21 + 12*s**5/35 - 5*s**4/7 + 11*s**2/7 - 12*s/7 + 11672. Find n such that l(n) = 0.
-1, 1, 2, 3
Let j(d) be the first derivative of -d**4/4 - 4*d**3/3 + 29*d**2/2 - 24*d - 445. Solve j(f) = 0.
-8, 1, 3
Let g = 89 + -86. Let -29*a**2 - 62*a**3 - 36 - 60*a - 67*a**3 + a**2 + 125*a**g = 0. Calculate a.
-3, -1
Let d be (24/(-35))/(519/(-5190)). Factor -4*q + d + 2/7*q**2.
2*(q - 12)*(q - 2)/7
Let l(v) be the first derivative of -4860*v - 294 - 54*v**2 - 1/5*v**3. Factor l(z).
-3*(z + 90)**2/5
Suppose 13*r - 5*m = 17*r - 21, -2*r + 2*m + 6 = 0. Let q be 4/(-30)*(6 - 166)/r. Factor -q + 24*p + 14/3*p**3 - 20*p**2.
2*(p - 2)**2*(7*p - 2)/3
Suppose -42*o = 695*o - 92*o - 1290. Factor -648/11*p**o - 72/11*p**3 + 0*p + 0 - 2/11*p**4.
-2*p**2*(p + 18)**2/11
Let f(c) be the first derivative of -c**5/20 - 58*c**4 - 26912*c**3 - 6243584*c**2 - 724255744*c + 310. Factor f(d).
-(d + 232)**4/4
Let h(s) be the second derivative of 2*s - 247/12*s**3 - 25 - 1/40*s**5 + 507/4*s**2 + 29/24*s**4. Find r, given that h(r) = 0.
3, 13
Let k = -2/157 - -179/1727. Let z be (-312)/(-2860)*5/3. Find h, given that -z + 1/11*h - k*h**3 + 2/11*h**2 = 0.
-1, 1, 2
Let i(l) be the third derivative of 0 + 13/18*l**4 + 338/9*l**3 + 1/180*l**5 + 0*l - 110*l**2. Factor i(m).
(m + 26)**2/3
Let i(y) be the second derivative of -y**7/21 - 2*y**6/3 - 18*y**5/5 - 9*y**4 - 9*y**3 - 796*y. Factor i(t).
-2*t*(t + 1)*(t + 3)**3
Let s = 1444 - 1417. Let n be 72/64*6/s. Let 3/8*z + 0*z**2 - 1/8*z**3 - n = 0. Calculate z.
-2, 1
Let v be 0/(4 + 6/(-2)). Suppose -5*o + 10*o = 5*n - 5, 4*n - 20 = v. What is a in 7*a**3 - 4*a**4 - 4*a**3 + 5*a**3 + 2*a**5 - 4*a**o = 0?
0, 2
Let q(v) be the third derivative of -v**5/10 + 68*v**4/15 - 12*v**3/5 - 17*v**2 - 4*v. Solve q(n) = 0.
2/15, 18
Let h be (32/10)/((-3)/(-12)). Let z = 639146/199733 + -2/998665. Let z*k - 1/5*k**2 - h = 0. What is k?
8
Suppose 8*g + 5*r = 5*g + 3540, -g - 3*r + 1180 = 0. What is p in 3*p + 2*p**2 + 1699 - 159*p + 24*p + g - 701 = 0?
33
Suppose 0 = -4*o + 59*w - 61*w + 118, 3*w = -5*o + 156. Factor 222/5 - 3/5*z**2 + o*z.
-3*(z - 37)*(z + 2)/5
Let j = 1/35464 - -79793/35464. Factor 1/4*d**2 - 11/2 + j*d.
(d - 2)*(d + 11)/4
Let r(d) be the first derivative of d**7/84 + d**6/60 - d**5/10 - d**4/6 + 32*d + 134. Let m(z) be the first derivative of r(z). Suppose m(p) = 0. Calculate p.
-2, -1, 0, 2
Let c(h) be the second derivative of h**4/30 + 1112*h**3/15 + 309136*h**2/5 - 443*h. Factor c(y).
2*(y + 556)**2/5
Let p be ((-3 - (-7 - -3)) + (-44 - -44))*2. Factor -76/5*j - 32/5 + 2*j**p.
2*(j - 8)*(5*j + 2)/5
Let h(n) be the first derivative of 2*n**3/45 - 148*n**2/15 + 10952*n/15 + 182. Let h(f) = 0. Calculate f.
74
Let k be (4*1319/12)/1. Let o = k + -439. Let 4/3*a + 2/3 + o*a**2 = 0. What is a?
-1
Suppose -3*f = -42 - 9. Suppose -i - f = -24. Factor 14*n**2 + 0*n**3 - 9*n**2 - 2*n**3 - i*n**2.
-2*n**2*(n + 1)
Let m(a) = 4*a**3 - 152*a**2 + 1776*a - 6144. Let v(o) = 4*o**3 - 152*o**2 + 1772*o - 6144. Let j(y) = -5*m(y) + 4*v(y). Factor j(w).
-4*(w - 16)**2*(w - 6)
Let y = -970 - -972. Let z be (y + -4)*(-3 - 45/(-16)). Find h such that -3/8*h**3 + z*h - 1/8 + 1/8*h**2 = 0.
-1, 1/3, 1
Let u(l) be the third derivative of 1 + 19/30*l**5 - 361/12*l**4 + 6859/9*l**3 + 0*l - 32*l**2 - 1/180*l**6. Factor u(j).
-2*(j - 19)**3/3
Let l(k) be the second derivative of -k**5/160 - 5*k**4/96 + 29*k**3/48 + 105*k**2/16 - 92*k + 23. Suppose l(d) = 0. Calculate d.
-7, -3, 5
Let g(o) be the second derivative of -o**7/210 + 2*o**6/75 + 35*o + 16. Find i such that g(i) = 0.
0, 4
Factor -51*o + 208*o + 154 + 420 - 8*o**2 + 9*o**2 - 3*o**2.
-(o - 82)*(2*o + 7)
Let r(w) be the second derivative of w**6/15 + 19*w**5/20 + 67*w**4/32 + 3*w**3/2 + 354*w. Factor r(k).
k*(k + 8)*(4*k + 3)**2/8
Factor 316/7*d + 46/7*d**2 + 240/7.
2*(d + 6)*(23*d + 20)/7
What is r in 0*r + 2/19*r**4 - 112/19*r**2 + 0 - 2/19*r**3 = 0?
-7, 0, 8
Suppose -5*n + 10 = -5*m, 2*m = -n - 97 + 102. Factor -3/8*i**4 + 0*i**n + 0*i + 3/2*i**2 + 0.
-3*i**2*(i - 2)*(i + 2)/8
Let j(u) be the first derivative of -u**3 + 654*u**2 + 1311*u - 3181. Factor j(m).
-3*(m - 437)*(m + 1)
Let y(v) be the third derivative of v**8/168 - 4*v**7/175 - 271*v**6/300 + 37*v**5/5 - 20*v**4/3 - 3514*v**2. Solve y(d) = 0 for d.
-8, 0, 2/5, 5
Let t(d) be the third derivative of -17/12*d**4 + 151*d**2 + 0*d + 0 + 19/210*d**5 - 1/420*d**6 + 35/3*d**3. Factor t(z).
-2*(z - 7)**2*(z - 5)/7
Let p(l) be the second derivative of 1/24*l**4 + 0 + 9/4*l**2 + 156*l - 5/6*l**3. Factor p(j).
(j - 9)*(j - 1)/2
Let h(c) be the second derivative of -3*c**7/70 - c**6/12 - c**5/60 + 35*c**2/2 - 2*c + 41. Let p(r) be the first derivative of h(r). Factor p(z).
-z**2*(z + 1)*(9*z + 1)
Let s(d) be the second derivative of -20/9*d**3 + 0*d**2 - 2*d - 1/36*d**6 + 2 + 25/36*d**4 + 7/24*d**5. Factor s(n).
-5*n*(n - 8)*(n - 1)*(n + 2)/6
Let h(d) = 22*d**3 + 186*d*