 + 9 = d, m + 3 = 36*d - 37*d. Factor -1/7*c**3 + d + 1/7*c**h + 2/7*c.
-c*(c - 2)*(c + 1)/7
Let j(m) be the third derivative of -m**8/50400 - m**7/6300 + 7*m**6/360 - 109*m**5/60 - 188*m**2. Let w(k) be the third derivative of j(k). Factor w(o).
-2*(o - 5)*(o + 7)/5
Let y(o) = 5*o**3 + 697*o**2 + 277*o - 137. Let z be y(-139). What is p in 3/2*p + 3/8*p**z - 9/2 = 0?
-6, 2
Let s(d) = 10*d + 1. Let o be s(0). Factor -79*b**2 + 4*b**2 - 16*b**2 - o - b**2 - 88*b + 5.
-4*(b + 1)*(23*b - 1)
Let w = 43 + -36. Suppose -4*z + 13 = -w. Suppose -k**z - 5*k**5 + 7*k**5 + 4*k**5 + 5*k - 10*k**3 = 0. Calculate k.
-1, 0, 1
Let n(v) be the first derivative of -14*v**5/25 - 22*v**4/5 - 136*v**3/15 - 16*v**2/5 - 123. Let n(c) = 0. What is c?
-4, -2, -2/7, 0
Let y(h) be the second derivative of -h**5/80 - 9*h**4/8 - 659*h**3/24 + 357*h**2/4 + 162*h - 3. Find t such that y(t) = 0.
-34, -21, 1
Let u(x) be the second derivative of 1/60*x**5 + 13 - 1/9*x**4 + 0*x**2 + 1/6*x**3 + 7*x. Let u(n) = 0. Calculate n.
0, 1, 3
Let 352*d + 4450*d**4 - 524*d**2 + 63*d**3 + 107*d**3 - 4448*d**4 = 0. Calculate d.
-88, 0, 1, 2
Let n(v) = v**3 - 7*v**2 - 3*v + 14. Let r be n(7). Let y be (-177)/(-45) + -4 + r + 8. Factor -6/5*d**2 + 0 - 4/15*d - y*d**3.
-2*d*(d + 1)*(7*d + 2)/15
Factor -4863840 - 4086060*u - 4258748 + 914228 - 3*u**3 + 9050*u**2 - 2*u**3.
-5*(u - 906)**2*(u + 2)
Let f(m) be the second derivative of -m**5/6 - 43*m**4/12 + 6*m**3 + 7*m**2/2 + 3*m - 10. Let o(h) be the first derivative of f(h). What is d in o(d) = 0?
-9, 2/5
Let s be (-294)/(-140) - 2/20. Let o(i) be the second derivative of -7/15*i**3 + 0 - 1/6*i**4 + 4*i - 2/5*i**s. Factor o(t).
-2*(t + 1)*(5*t + 2)/5
Let z(m) be the second derivative of 4/3*m**3 - 2/15*m**6 - 2/5*m**5 + 1/3*m**4 + 0*m**2 - 38*m - 2. Determine h so that z(h) = 0.
-2, -1, 0, 1
Let r(n) = -7*n - 73*n**2 + 81559*n**3 - 8 - 81558*n**3 - n. Let l(d) = 4*d**2 + d + 1. Let o(x) = -40*l(x) - 5*r(x). Factor o(b).
-5*b**2*(b - 41)
Suppose 0 = 3*z + 2*z - 4*z. Determine o so that 31*o + 64*o**2 + z*o**3 - 7*o + 44*o - 4*o**3 = 0.
-1, 0, 17
Let k be 11 - (0 + 0)/((-1)/1). Let s be k/(-44) - 17/(-4). Factor -3*a + a**2 + 0*a + s - 2*a.
(a - 4)*(a - 1)
Suppose -7*s + 16 + 145 = 0. Let z(l) = -2*l**2 + 50*l - 90. Let m be z(s). Let 3/8*k**m - 21/8*k + 0 = 0. Calculate k.
0, 7
Let j(n) be the second derivative of -n**6/60 + 7*n**5/20 - 13*n**4/24 + 171*n - 4. Find h such that j(h) = 0.
0, 1, 13
Let a(m) = 10*m**2 - 875*m - 4210. Let p(h) = 23*h**2 - 1751*h - 8417. Let k(y) = -11*a(y) + 5*p(y). Factor k(n).
5*(n + 5)*(n + 169)
Let l(d) be the first derivative of -47*d**4/4 + 2*d**3/3 - 7*d**2/2 + 14*d - 30. Let n(v) = 31*v**3 - v**2 + 5*v - 10. Let t(s) = 5*l(s) + 7*n(s). Factor t(h).
-3*h**2*(6*h - 1)
Let k(b) be the third derivative of -b**6/210 - 2*b**5/105 + 29*b**4/42 + 20*b**3/7 + 77*b**2 + 13*b. Determine w so that k(w) = 0.
-6, -1, 5
Let m(n) = 506*n - 13*n**2 - 3*n**3 + 2*n**3 + 4 - 506*n. Let a be m(-13). Factor -2*k**2 + k**2 - 6*k + 3*k + a*k.
-k*(k - 1)
Let h(p) be the first derivative of -p**5/170 + 13*p**4/102 - 4*p**3/17 + 16*p + 254. Let r(s) be the first derivative of h(s). Factor r(j).
-2*j*(j - 12)*(j - 1)/17
Let n(k) = -144*k + 90*k + 68 + 76*k. Let y be n(-3). Factor 0 - 2/11*s + 1/11*s**y.
s*(s - 2)/11
Suppose 48 = -63*x + 69*x. Solve x*s + 3*s**2 + 18*s + 12*s - 65*s = 0 for s.
0, 9
Let i(k) be the third derivative of k**6/40 + 51*k**5/20 - 109*k**4/8 - 159*k**3/2 + 64*k**2 + 5. Let i(s) = 0. Calculate s.
-53, -1, 3
Suppose 270*x**4 + 3055*x**3 - 61540*x + 58520*x - 220*x**2 - 35*x**5 - 840 + 790*x**2 = 0. What is x?
-6, -1, -2/7, 1, 14
Let j(t) be the third derivative of 5*t**5/3 - 125*t**4/24 + 65*t**3/2 + 40*t**2. Let q(s) = -7*s**2 + 9*s - 14. Let v(n) = -6*j(n) - 85*q(n). Factor v(g).
-5*(g - 1)*(g + 4)
Suppose 39*j**2 + 42*j**3 - 15*j**2 + 7856 - 7613 - j**5 - 5*j**4 - 6*j**2 - 297*j = 0. What is j?
-9, -3, 1, 3
Factor -6805*t**3 - 1520 + 5312*t - 2257*t**2 + 6793*t**3 + 5*t**2.
-4*(t - 2)*(t + 190)*(3*t - 1)
Let n(i) be the second derivative of i**5/150 + 61*i**4/15 + 121*i**3/5 + 3917*i. Factor n(r).
2*r*(r + 3)*(r + 363)/15
Let t(k) be the first derivative of k**4/24 + 13*k**3/18 + 35*k**2/12 - 49*k/6 - 333. What is j in t(j) = 0?
-7, 1
Let w be ((-26)/(-78)*6/7)/(-22 + 24). Let 10/7*l**3 - 5/7*l**4 - 10/7*l**2 + w*l**5 + 5/7*l - 1/7 = 0. Calculate l.
1
Let z(c) be the third derivative of c**5/20 + 51*c**4/8 + 25*c**3 - 736*c**2 + 2. Let z(w) = 0. Calculate w.
-50, -1
Let w be 5 + (-3 + 2)*(-5)/(-1). What is d in w*d - 7*d - 17*d - d + 5*d**2 - 70 = 0?
-2, 7
Let l = -12200 - -12204. Let w(t) be the first derivative of 12*t**2 - t**3 + 36*t + 4 - 3/4*t**l. Suppose w(h) = 0. Calculate h.
-2, 3
Find y, given that 2/9*y**4 + 10*y**3 + 304/3*y + 556/9*y**2 + 0 = 0.
-38, -4, -3, 0
Let n be (2/3)/(((-9)/45)/(4/(-10))). Let h(l) be the first derivative of 0*l + 7 + n*l**3 - 6*l**2. Solve h(s) = 0.
0, 3
Let m(t) be the third derivative of -t**7/735 + 443*t**6/420 - 44*t**5/7 + 13289*t**2. Factor m(z).
-2*z**2*(z - 440)*(z - 3)/7
Let k = -57594 + 172784/3. Determine x so that -x**4 + 7/3*x**3 - x - x**2 + k = 0.
-2/3, 1
Let i(n) be the second derivative of n**4/102 + 158*n**3/51 - 648*n**2/17 - 2*n - 1124. Factor i(c).
2*(c - 4)*(c + 162)/17
Let y be 371/441 + 12/27. Let g = 206 - 204. Factor -y*q**3 - 9/7*q - 6/7 + 24/7*q**g.
-3*(q - 2)*(q - 1)*(3*q + 1)/7
Let c be (-4 - -1)/((36/(-16))/3). Suppose 4*k + 13 = t, 4*k - 14 = -c*t + 2*t. Factor -t*d + 3 - 5 + 3*d**3 - 4.
3*(d - 2)*(d + 1)**2
Let d(x) be the third derivative of 33*x**2 + 0*x + 0 + 0*x**3 - 2/35*x**7 + 0*x**6 + 0*x**4 + 1/84*x**8 + 4/15*x**5. Factor d(j).
4*j**2*(j - 2)**2*(j + 1)
Let o be (7 - 351/45)/(4/10). Let r be ((1 + o)*-1)/((-546)/(-156)). Let -8/7 + 2/7*a**2 - r*a**3 + 8/7*a = 0. Calculate a.
-2, 1, 2
Suppose -6*u = -652 + 2470. Let f = u + 6365/21. Solve -4/7 - f*x**2 - 10/21*x = 0 for x.
-3, -2
Suppose -14 = 4*z - 10, 3*z - 9 = -4*o. Let -12 - 11*r**2 + 5*r**3 - 26*r + 8*r**2 - 13*r**2 - 7*r**o = 0. Calculate r.
-6, -1
Let c(y) = y**3 + 3*y**2 - 7*y. Let x(o) = 2*o**3 + 2*o**2 - 6*o. Suppose 0 = 4*w - 9*w. Suppose 0*r - 3*r + 9 = w. Let u(z) = r*x(z) - 2*c(z). Factor u(p).
4*p*(p - 1)*(p + 1)
Let w(i) = i**2 + 3*i. Let u be ((-4)/(-24)*-9)/((-3)/(-44)). Let z(p) = -13*p**2 - 63*p + 32. Let o(q) = u*w(q) - 2*z(q). Suppose o(n) = 0. Calculate n.
-16, 1
Factor -14932*a - 18860*a - 8509*a**2 + 1156*a**4 + 73853*a**2 + 17952*a**3 - 72 + 4168.
4*(a + 8)**2*(17*a - 4)**2
Let f = 2798261/117 - 23921. Let k = -16/9 - f. Factor -k + 16/13*j - 2/13*j**2.
-2*(j - 4)**2/13
Let z(r) be the second derivative of 360*r**4 + 51840*r**2 + 0 + 1/6*r**6 + 12*r**5 - 232*r + 5760*r**3. Determine u, given that z(u) = 0.
-12
Let v(q) be the third derivative of q**7/420 + q**6/30 + 19*q**5/120 + q**4/4 - 1119*q**2. Solve v(o) = 0.
-4, -3, -1, 0
Let j(n) be the first derivative of -n**8/1008 + n**7/315 - n**6/360 - 3*n**2/2 + 3*n - 104. Let b(k) be the second derivative of j(k). Factor b(w).
-w**3*(w - 1)**2/3
Let v(h) be the third derivative of -1/360*h**6 - 7/2*h**3 - 27*h**2 + 1/15*h**5 + 0 + 0*h - 7/24*h**4. Let s(n) be the first derivative of v(n). Factor s(x).
-(x - 7)*(x - 1)
Let s = -496 + 993/2. Let q(z) be the first derivative of 5 + s*z**6 + 9/5*z**5 + z**3 + 0*z**2 + 0*z + 9/4*z**4. Factor q(y).
3*y**2*(y + 1)**3
Let t(v) = 2*v**2 - 889*v - 47821. Let x be t(493). Determine h so that 44/17*h**2 + 0 + 2/17*h**3 + x*h = 0.
-22, 0
Let w(u) be the third derivative of 0*u**4 + 1/140*u**5 - 1/14*u**3 + 62*u**2 + 0*u + 0. Solve w(c) = 0 for c.
-1, 1
Let o(w) be the second derivative of 9*w**6/70 + 159*w**5/140 + 39*w**4/28 - 5*w**3/14 + 116*w - 4. Find a, given that o(a) = 0.
-5, -1, 0, 1/9
Factor 2/17*u**2 - 122/17*u + 120/17.
2*(u - 60)*(u - 1)/17
Let w(i) be the first derivative of i**4 - 401*i**3/3 + 632*i**2 - 291*i + 616. What is f in w(f) = 0?
1/4, 3, 97
Let d = 1495 + -1493. Let f(o) be the third derivative of 0*o - 1/96*o**6 + 1/168*o**7 - 26*o**d - 10/3*o**3 + 0 + 35/24*o**4 - 1/4*o**5. Factor f(n).
5*(n - 2)**2*(n - 1)*(n + 4)/4
Let t be 6/(-32)*(-168)/(-1638)*-12. Let p(n) be the first derivative of 9 - t*n**2 - 1/26*n**4 + 2/13*n + 2/13*n**3. Factor p(