st derivative of 2*u**5/15 + 2*u**4 + 14*u**3/3 - 98*u**2/3 - 608. Factor t(h).
2*h*(h - 2)*(h + 7)**2/3
Let g(h) be the third derivative of -1/4*h**6 - 1/168*h**7 - 8*h**2 - 7 + 0*h**3 + 0*h**5 + 0*h**4 + 0*h. Factor g(c).
-5*c**3*(c + 24)/4
Let a(j) be the second derivative of -32/5*j**2 + 0 - 1/30*j**4 + 116*j + 4/5*j**3. Factor a(o).
-2*(o - 8)*(o - 4)/5
Let b = -131624/51 + 44736/17. Solve -b*j + 2/3*j**2 + 2888/3 = 0 for j.
38
Factor 4136/23*k + 2138312/23 + 2/23*k**2.
2*(k + 1034)**2/23
Let x be (-82)/(-4) - (-551)/(72 - 101). What is r in 3/2*r + 3/8*r**3 + x*r**2 + 0 = 0?
-2, 0
Suppose -4*m = 7*m - 1155. Let o = m + -101. Determine u so that -3*u**2 + 15 + 20 - 27 + 6*u + o*u**2 = 0.
-4, -2
Suppose -79*w + 20 = -296. Let k(o) be the first derivative of 0*o**2 + 1/6*o**3 + 1/24*o**w - 2/3*o - 25. Solve k(i) = 0.
-2, 1
Let o(k) = -k**2 + 2*k + 34. Let z be o(6). Factor -10 + 9*d - 42*d + z - 6*d**2 + 3*d**2.
-3*d*(d + 11)
Factor -225/7*q**3 - 5625/7*q**2 - 46875/7*q - 3/7*q**4 + 0.
-3*q*(q + 25)**3/7
Factor 1/5*l**2 - 758/5 + 757/5*l.
(l - 1)*(l + 758)/5
Let a(w) be the second derivative of -2/15*w**6 - 62/3*w**3 + 61/3*w**4 + 0*w**2 - 29/5*w**5 + 66*w + 0. Factor a(b).
-4*b*(b - 1)**2*(b + 31)
Let 0 - 7/2*j**3 + 141*j**2 - 40*j = 0. Calculate j.
0, 2/7, 40
Let q = 7225 + -7213. Let y(j) be the first derivative of 15 - 14*j**2 - j**4 - q*j - 20/3*j**3. Factor y(t).
-4*(t + 1)**2*(t + 3)
Suppose -192*n + 56*n**2 - 16 + 521*n**3 - 523*n**3 + 16 = 0. Calculate n.
0, 4, 24
Let o = -27 - -51. Suppose 19*l - 371 = -124. Solve 53*t**3 - 3*t - l*t - 36*t**5 + 16*t**2 + 3*t**3 - o*t**4 - 12*t**3 = 0 for t.
-1, 0, 2/3
Let s = -260/19 - -3100/171. Determine m so that 26*m - 36 - s*m**2 + 2/9*m**3 = 0.
2, 9
Let n(d) = -2*d**2 - 51*d - 291. Let s = 59 + -64. Let u(q) = -4*q**2 - 101*q - 581. Let v(m) = s*n(m) + 3*u(m). Solve v(r) = 0 for r.
-12
Let v(t) = 31*t**4 + 177*t**3 + 181*t**2 - 5*t + 5. Let o(d) = 36*d**4 + 176*d**3 + 182*d**2 - 6*d + 6. Let a(u) = -5*o(u) + 6*v(u). Solve a(n) = 0.
-88/3, -1, 0
Let v(q) = 8*q**3 - 36*q**2 + 22*q - 4. Let l(z) = -z**2. Let a = -154 + 152. Let f(i) = a*v(i) + 20*l(i). Factor f(w).
-4*(w - 2)*(w - 1)*(4*w - 1)
Let t(z) be the third derivative of -z**5/60 - 143*z**4/12 - 20449*z**3/6 - 807*z**2. Factor t(j).
-(j + 143)**2
Let p(i) = -i**2 + 8*i - 2. Let s(j) = -8*j**2 + 618*j - 78975. Let r(l) = -35*p(l) + 5*s(l). Factor r(y).
-5*(y - 281)**2
Let r(i) = -3*i**2 - i - 2. Let h(x) = -1 + x - 663*x**2 + 670*x**2 + 5. Let c(n) = -2*h(n) - 5*r(n). Factor c(t).
(t + 1)*(t + 2)
Let q(j) = -50*j**3 + 67*j**2 + 172*j - 75. Let g(y) = 46*y**3 - 70*y**2 - 172*y + 76. Let s(h) = -5*g(h) - 4*q(h). Let s(k) = 0. Calculate k.
-5/3, 2/5, 4
Let w(h) be the second derivative of -9*h**2 - 5/6*h**3 + 0 - 5/4*h**4 - 16*h - 5/12*h**5. Let m(t) be the first derivative of w(t). Factor m(k).
-5*(k + 1)*(5*k + 1)
Let p(q) be the third derivative of -q**6/40 + 3*q**5/2 - 221*q**4/8 + 210*q**3 - 327*q**2 - 4*q - 1. Factor p(g).
-3*(g - 20)*(g - 7)*(g - 3)
Let g(n) = 30*n**3 + 252*n**2 + 57*n + 3. Let v(d) = 29*d**3 + 251*d**2 + 56*d + 2. Let o = -282 - -285. Let m(b) = o*v(b) - 2*g(b). Factor m(q).
3*q*(q + 9)*(9*q + 2)
Let d(h) be the first derivative of 3*h**4/2 + 55*h**3/3 + 57*h**2/2 + 8*h - 7031. Factor d(y).
(y + 1)*(y + 8)*(6*y + 1)
Find v such that 24/17*v**2 + 38/17*v**3 + 0 + 2/17*v**5 - 40/17*v - 24/17*v**4 = 0.
-1, 0, 1, 2, 10
Let p(i) = i**3 - i**2 + 6*i. Let j(b) = 2532*b**3 + 29020*b**2 + 88182*b + 26244. Let k(s) = -5*j(s) + 45*p(s). Determine o so that k(o) = 0.
-162/29, -1/3
Factor -4049 + 4455 - 2*c**2 + c**2 + 201*c.
-(c - 203)*(c + 2)
Let x(t) be the first derivative of -t**7/2520 - t**6/135 - t**5/30 - 83*t**3/3 + 84. Let m(h) be the third derivative of x(h). What is r in m(r) = 0?
-6, -2, 0
Solve -1/12*z**2 - 1/2*z + 9/4 = 0 for z.
-9, 3
Let o(r) be the second derivative of -3*r**5/20 - 11*r**4/4 + 25*r**3/2 - 39*r**2/2 + 10909*r. Factor o(s).
-3*(s - 1)**2*(s + 13)
Let i(k) be the third derivative of 11*k**7/105 - 13*k**6/35 + 2*k**5/105 - 165*k**2. Factor i(f).
2*f**2*(f - 2)*(77*f - 2)/7
Suppose 94*l + 400 = 90*l. Let j be (-105)/l - (-44)/(-55). Suppose 1/8*r**2 + 0 + j*r = 0. Calculate r.
-2, 0
Suppose -11*m + 10*m = -4*v - 8, -3*m = v - 76. Suppose 48*w = m*w + 48. Factor -10/7*u + 12/7 + 2/7*u**w.
2*(u - 3)*(u - 2)/7
Suppose 0 = -13*a + 9911 - 1305. Suppose 565*w + a*w - 2*w + w**3 - 70*w**2 = 0. What is w?
0, 35
Let p(m) be the second derivative of -m**6/300 + m**5/30 - 7*m**4/60 + m**3/5 - 27*m**2 - 4*m - 5. Let z(k) be the first derivative of p(k). Factor z(o).
-2*(o - 3)*(o - 1)**2/5
Solve 950657 - 135*g + 3*g**2 - 8*g**2 - 949857 = 0.
-32, 5
Factor 0*q + 0 - 22/3*q**2 - 76/3*q**3 + 7/6*q**4.
q**2*(q - 22)*(7*q + 2)/6
Let j(i) be the first derivative of -25*i**6/6 - 158*i**5 + 1995*i**4/4 - 1520*i**3/3 + 170*i**2 - 7982. Let j(w) = 0. What is w?
-34, 0, 2/5, 1
Suppose -5*y + 5*r + 80 = 0, 0 = 3*y + 3*r - r - 28. Determine v so that -4*v + 4*v**4 - 4*v**2 - 2*v**5 + 6*v**5 - 12*v**3 + 0*v**4 + y*v = 0.
-2, -1, 0, 1
Let s(x) = x**3 - 3*x**2 - 2*x + 1. Let w(l) = 8*l**3 - 28*l**2 - 94*l + 96. Let v(q) = -6*s(q) + w(q). Factor v(z).
2*(z - 9)*(z - 1)*(z + 5)
Let t be -8 + (-10 + 21 - -3). Let c be (-75)/6*(-8)/5. Factor -t*g - c + 45 + g**2 - 20.
(g - 5)*(g - 1)
Let a be 32/(-56)*(-7)/2. Let -c**2 - 14*c**a - 26*c**3 + 30*c + 40 + 21*c**3 = 0. What is c?
-4, -1, 2
Let k be ((-415)/330 - (-133)/114) + 558/330. Determine m, given that -1/5*m**2 - k + 6/5*m = 0.
2, 4
Suppose -4*u = -a - 31, u + 181 - 210 = -4*a. Let b(s) be the third derivative of 0*s - 23/30*s**a - 2*s**2 - 5/3*s**4 - 4/3*s**3 + 0 - 7/60*s**6. Factor b(o).
-2*(o + 1)*(o + 2)*(7*o + 2)
Let a(p) be the third derivative of -p**5/30 - 4*p**4/3 + 80*p**3/3 + 938*p**2 + 3. What is s in a(s) = 0?
-20, 4
Let h(f) be the first derivative of 0*f**4 - 6*f**2 - 1/150*f**5 - 27 + 0*f + 1/15*f**3. Let k(s) be the second derivative of h(s). Let k(w) = 0. Calculate w.
-1, 1
Let g = -28190350841/141333129 + 1/2243383. Let y = g - -1814/9. Factor y*l**3 + 6/7*l + 2/21*l**5 - 16/21*l**4 + 0 - 16/7*l**2.
2*l*(l - 3)**2*(l - 1)**2/21
Factor 2/5*k**3 - 2098/5*k + 248/5*k**2 + 1848/5.
2*(k - 7)*(k - 1)*(k + 132)/5
Let v(j) be the first derivative of j**6/240 - j**5/120 - j**4/6 + j**3 - 25*j**2/2 - 53. Let r(f) be the second derivative of v(f). Factor r(l).
(l - 2)**2*(l + 3)/2
Let z(i) be the second derivative of -i**5/70 - 89*i**4/42 - 453*i**3/7 - 5751*i**2/7 + 2*i - 642. Factor z(u).
-2*(u + 9)**2*(u + 71)/7
What is t in -1047*t**4 + 2098*t**4 - 1052*t**4 + 32*t - 14*t**2 - 17*t**3 = 0?
-16, -2, 0, 1
Let r be ((-51)/(-18))/((-2023)/(-238)). Suppose -1/3*x**4 - r + 0*x + 2/3*x**2 + 0*x**3 = 0. Calculate x.
-1, 1
Factor -71/7*q**2 - 11/7*q**3 - 90/7 + 171/7*q + 1/7*q**4.
(q - 15)*(q - 1)**2*(q + 6)/7
Let t(j) be the first derivative of 2*j + 2/5*j**5 - j**4 + 1/3*j**6 - 4/3*j**3 + j**2 - 47. Factor t(b).
2*(b - 1)**2*(b + 1)**3
Let r(a) be the third derivative of a**8/112 - 6*a**7/35 + 47*a**6/40 - 3*a**5 - 508*a**2. Suppose r(x) = 0. Calculate x.
0, 3, 4, 5
Let k be -1 - 8 - (166944/(-777) + -62). Factor -k + 3/7*n**3 + 2025/7*n - 153/7*n**2.
3*(n - 25)**2*(n - 1)/7
Suppose 82/9*n + 40/3 + 2/3*n**2 = 0. Calculate n.
-12, -5/3
Let o(h) be the first derivative of -h**6/33 + 2*h**5/11 + 18*h**4/11 - 1578. What is c in o(c) = 0?
-4, 0, 9
Let 144/5 - 24/5*c**3 + 144/5*c + 4/5*c**4 - 28/5*c**2 = 0. Calculate c.
-2, -1, 3, 6
Let s(w) be the first derivative of w**4 + 100*w**3 + 148*w**2 + 5578. Factor s(h).
4*h*(h + 1)*(h + 74)
Let n be ((-90)/75)/(836/40 + 1). Let x = 126/365 - n. Factor 242/5 + 44/5*w + x*w**2.
2*(w + 11)**2/5
Let m(o) be the second derivative of 52*o**2 + 2/21*o**7 + 44/15*o**6 + 152/3*o**4 - 98/5*o**5 - 206/3*o**3 + 0 - 124*o. Suppose m(x) = 0. What is x?
-26, 1
Let s = -148 + 156. Find b such that s*b**2 + 32*b + 0*b - 5*b**2 - 4*b**2 - 256 = 0.
16
Let f(d) = -d**3 - 11*d**2 + 58*d - 27. Let q be f(-15). Suppose 18*n - 49/3*n**2 + 3*n**q + 2/3*n**4 - 16/3 = 0. What is n?
-8, 1/2, 1, 2
Suppose -7 = 4*j - 3*q, -q + 5 = -3*j + 6. Suppose 6*v - 19*v - 2738 - 135*v - 2*v**j = 0. Calculate v.
-37
Let a be -10*505/(-1020) + -5. Let j = 169/714 - a. Fa