6/5 + 2/5*r**2.
2*(r - 1)*(r + 3)/5
Let p be -2 + 1 + -5 + 11 + -11. Let k = -4 - p. Determine g, given that 6/5*g + 2*g**k + 2/5*g**3 - 18/5 = 0.
-3, 1
Let h(j) be the third derivative of j**8/1176 + 2*j**7/245 - j**6/105 - 17*j**5/105 + 17*j**4/28 - 20*j**3/21 - 2*j**2 + 152. Factor h(f).
2*(f - 1)**3*(f + 4)*(f + 5)/7
Let w = 216858 - 216856. What is a in -7*a + 0 + 5/2*a**w + 1/2*a**3 = 0?
-7, 0, 2
Let j(t) = t**4 - t**3 - t**2 + 1. Let l(m) = -m**5 + 16*m**4 + 57*m**3 + 7*m**2 - 7. Let d(g) = -7*j(g) - l(g). Find f such that d(f) = 0.
-2, 0, 25
Solve -17218*v**5 + 2*v**2 + 7*v**4 + 16*v - 60*v**3 + 21*v**4 - 30*v**2 + 8634*v**5 + 8628*v**5 = 0 for v.
-1, 0, 4/11, 1
Solve 27*k**4 + 2*k**5 + 0*k**4 + 30*k**2 - 6*k**2 + k**5 - 102*k**3 + 48*k**2 = 0 for k.
-12, 0, 1, 2
Let w(g) be the second derivative of -g**4/78 + 1772*g**3/39 - 1771*g**2/13 + 5252*g. Factor w(k).
-2*(k - 1771)*(k - 1)/13
Suppose -5*p - 7 = 2*n + 8, -n + 2*p = -6. Let z be (-40)/(-96) - (3 + (-68)/24). What is r in 0*r**2 - 1/2*r**3 + n + 0*r - z*r**4 = 0?
-2, 0
Let p(r) be the third derivative of -16*r**7/105 - 1318*r**6/15 + 529*r**5/2 - 1489*r**4/6 + 331*r**3/3 + 557*r**2. Let p(l) = 0. What is l?
-331, 1/4, 1
Let d be ((-56)/12)/(2/(-3)). Suppose 3*h - 330 = -d*h. Let h*l**2 - 113*l**2 + 35*l**2 + 30*l**2 + 12*l**3 + 3*l = 0. What is l?
0, 1/4, 1
Let f(s) be the third derivative of s**5/36 - 925*s**4/36 - 3740*s**3/9 - 6735*s**2. Factor f(w).
5*(w - 374)*(w + 4)/3
Let g(d) = 228*d**2 + d + 68. Let a be g(-8). Factor -k**2 + 4*k**2 - 13977 + a - 90*k.
3*(k - 15)**2
Let z = 32956614/13 + -2532686. Let y = z + -2436. Factor -y*x**2 + 98/13*x + 2/13*x**3 + 0.
2*x*(x - 7)**2/13
Let m be -52*3/36*(-462)/273. Factor -3*f + 1/3*f**2 - m.
(f - 11)*(f + 2)/3
Let p = 13 - 79. Let s = 101 + p. Find k, given that -30*k + k**2 - s + 4*k**2 + 0*k**2 = 0.
-1, 7
Find z such that -14*z**3 - 244*z - 10*z**3 + 60 - 3*z**4 + 125*z + 131*z - 45*z**2 = 0.
-5, -2, 1
Let i = 6710/78843 - -1/3846. Let v = i - -1277/410. Solve 6/5*h**4 + 2/5*h**5 - v*h - 4/5*h**3 - 24/5*h**2 + 0 = 0 for h.
-2, -1, 0, 2
Let d be (-371344)/(-1440) - (-10)/45. Let w = d + -1288/5. Find t, given that 0*t**3 + 0*t - 1/2*t**4 + w*t**5 + 0*t**2 + 0 = 0.
0, 1
Let l(a) be the third derivative of -a**5/36 + 95*a**4/3 - 14440*a**3 + 846*a**2. Factor l(y).
-5*(y - 228)**2/3
Let z(w) be the first derivative of -1/10*w**4 - 2/5*w**2 - 67 + 16/5*w - 2/3*w**3. Factor z(m).
-2*(m - 1)*(m + 2)*(m + 4)/5
Let j(d) = 47 + 0*d**3 - 4*d - 48 + d**3 - d**2 + d**3. Let m(b) be the third derivative of b**5/60 - b**3/6 - 14*b**2. Let q(z) = 2*j(z) - 2*m(z). Factor q(a).
4*a*(a - 2)*(a + 1)
Let u(x) be the third derivative of -x**8/672 - 11*x**7/140 + 29*x**6/48 - 23*x**5/24 - 3*x**4 + 37*x**3/3 + 56*x**2 - 7. Solve u(f) = 0 for f.
-37, -1, 1, 2
Let p(k) = 5*k - 7*k**3 - 4 + 3*k**2 + 9*k**3 + 4*k**3. Let y be p(3). Solve -198*q**3 + q**4 - 2*q**4 + y*q**3 = 0.
0, 2
Let o be 1065/5680 - (-186)/32. Let g(y) be the second derivative of -5/6*y**4 + 1/3*y**o + 41*y + 5/14*y**7 + 0*y**2 + 0*y**3 - 3/4*y**5 + 0. Solve g(f) = 0.
-1, -2/3, 0, 1
Let d(a) = 9 + 316*a**2 + a**3 + 0*a - 7*a - 321*a**2. Let j be d(6). Solve -37*x**4 - 27*x + 23*x**4 + 27*x**j + 6 - 7*x**4 + 15*x**2 = 0 for x.
-1, 2/7, 1
Let t(k) be the second derivative of 0 + 42*k + 11/2*k**3 - 1/4*k**4 - 15*k**2. Find c such that t(c) = 0.
1, 10
Suppose -1455*k - 4*z - 17 = -1458*k, -5*k + 4*z + 23 = 0. Factor -10/3*l + 6*l**2 + 0 + 4/3*l**k.
2*l*(l + 5)*(2*l - 1)/3
Let b be (639/42 + -14 + -1)/(4 + (-3543)/888). Determine r, given that 26/7 - 92/7*r**3 - 102/7*r + 2/7*r**5 + 18/7*r**4 + b*r**2 = 0.
-13, 1
Let w = 264214 + -264214. Factor 10/9*a + 2/9*a**2 + w.
2*a*(a + 5)/9
Let c(n) be the second derivative of n**5/90 - n**4 - 37*n**3/9 - 56*n**2/9 - 1130*n. Determine g, given that c(g) = 0.
-1, 56
Let o = -199 + 399. Let x be (-24)/30 + 310/o. Factor 0 + x*u + 13/4*u**2 + u**3.
u*(u + 3)*(4*u + 1)/4
Let m(d) be the first derivative of 5/2*d - 5/6*d**3 + 1/4*d**2 - 1/8*d**4 + 13. Factor m(c).
-(c - 1)*(c + 1)*(c + 5)/2
Let y(z) be the second derivative of -46875/2*z**2 + 25*z - 3/20*z**5 - 1875/2*z**3 - 5 - 75/4*z**4. Let y(s) = 0. Calculate s.
-25
Let y(z) be the third derivative of -1/240*z**6 + 1/30*z**5 + 11/48*z**4 + z**2 + 1/2*z**3 - 1 + 0*z. Factor y(h).
-(h - 6)*(h + 1)**2/2
Let m(t) = -t**2 - 27*t + 9*t - t**4 + t**3 + 7*t + 10*t. Let h(w) = 22*w**4 + 176*w**3 + 349*w**2 + 271*w + 72. Let s(o) = h(o) - 5*m(o). Factor s(f).
3*(f + 2)*(f + 3)*(3*f + 2)**2
Let n(h) be the first derivative of -62/7*h**2 - 78 + 24/7*h - 44/21*h**3. Suppose n(v) = 0. What is v?
-3, 2/11
Let r(i) be the second derivative of i**7/63 + i**6/15 - 2*i**5 + 50*i**4/9 + 41*i + 4. Suppose r(o) = 0. Calculate o.
-10, 0, 2, 5
Determine c, given that 2/13*c**3 + 18/13*c**2 - 108/13*c - 432/13 = 0.
-12, -3, 6
Suppose k - 2 = t, 4*t + 2 + 6 = -4*k. Let n(m) be the third derivative of 0 + k*m + 1/96*m**4 + 1/48*m**5 + 0*m**3 + 1/120*m**6 - 15*m**2. Factor n(p).
p*(p + 1)*(4*p + 1)/4
Let z(s) be the third derivative of -7*s**6/90 + 178*s**5 - 382096*s**4/3 + 1308736*s**3/9 + 3313*s**2. Factor z(o).
-4*(o - 572)**2*(7*o - 2)/3
Let g be 1/((-18)/(-230)) - 156/(-702). Suppose -7 - g = -q - 5*l, -4*q - 3*l = -12. Let q - 2/7*a - 2/7*a**3 + 4/7*a**2 = 0. What is a?
0, 1
Let q(b) be the third derivative of b**6/72 + 23*b**5/12 - 53*b**3/2 + 8*b**2 + 10. Let f(i) be the first derivative of q(i). Determine d, given that f(d) = 0.
-46, 0
Let h be (-3)/2*9*(-18)/729. Let c(o) be the first derivative of -7/12*o**4 - h*o**3 + 7/6*o**2 - 21 - 2/3*o + 1/3*o**5. Solve c(z) = 0.
-1, 2/5, 1
Let d = 39 + -21. Let o(n) = -2*n**3 - 21*n**2 - 6*n + 11. Let u(b) = -3*b + 14*b + b**3 - 10*b + b**2 - 1. Let k(g) = d*u(g) + 2*o(g). Factor k(j).
2*(j - 1)**2*(7*j + 2)
Let q = 17932/5 + -3586. Let -8*k + 38/5 + q*k**2 = 0. Calculate k.
1, 19
Let b(t) be the first derivative of 11*t**4/14 - 5*t**3/21 - 2*t**2/7 - 163*t - 110. Let q(f) be the first derivative of b(f). What is v in q(v) = 0?
-2/11, 1/3
Let n(z) = 6*z**2 + 119*z - 1554. Let i be n(9). Factor 147 - 126*p - 3/4*p**i - 81/4*p**2.
-3*(p - 1)*(p + 14)**2/4
Determine p so that 15/2*p**3 + 0*p**2 + 6*p**4 + 0 + 0*p - 3/2*p**5 = 0.
-1, 0, 5
Let n = 51109 + -153095/3. Find q, given that -n*q - 3364/3 - 4/3*q**2 = 0.
-29
Let f(b) be the first derivative of -2*b**5/5 - 172*b**4 - 29584*b**3 - 2544224*b**2 - 109401632*b - 658. Let f(z) = 0. Calculate z.
-86
Let o(c) be the second derivative of -3*c**5/8 - 7*c**4/4 + 12*c**3 - c - 24. Find w such that o(w) = 0.
-24/5, 0, 2
Solve 1/4*z**2 - 35/4*z + 0 = 0 for z.
0, 35
Suppose 8/7 - 10/7*z + 2/7*z**2 = 0. What is z?
1, 4
Suppose -10*v + 56 = 4*v. Factor 13*s**4 - 23*s**v + 2*s**3 + 8*s**4.
-2*s**3*(s - 1)
Solve 0*g - 1/9*g**4 - 2*g**2 + 19/9*g**3 + 0 = 0 for g.
0, 1, 18
Factor 3 - 454474*t**2 - t**3 - 34*t + 454509*t**2 - 5 + 2.
-t*(t - 34)*(t - 1)
Let b(a) be the first derivative of -a**3/5 + 536*a**2/5 - 357*a/5 - 2324. What is w in b(w) = 0?
1/3, 357
Let c(s) be the first derivative of 57 - 7/18*s**3 + 2/3*s**2 + 0*s - 1/24*s**4. Suppose c(g) = 0. Calculate g.
-8, 0, 1
Let y(s) be the first derivative of 1/8*s**5 + 17/48*s**4 + 1/6*s**3 + 13 + 0*s + 41/2*s**2. Let q(c) be the second derivative of y(c). Factor q(u).
(u + 1)*(15*u + 2)/2
Let r(x) = 6*x**2 + 298*x + 482. Let u be r(-48). Let g(l) be the first derivative of -5*l + 15/2*l**u - 5*l**3 - 6 + 5/4*l**4. Factor g(h).
5*(h - 1)**3
Let d = -23115 + 346747/15. Factor d*l - 12/5 - 2/15*l**2.
-2*(l - 9)*(l - 2)/15
Let s(a) be the second derivative of 65*a + 0 - 32*a**2 + 2/15*a**6 + 4/5*a**5 - 32/3*a**3 + 0*a**4. Factor s(u).
4*(u - 2)*(u + 2)**3
Let z(h) be the first derivative of -2*h**6/3 + 12*h**5/5 + 14*h**4 - 16*h**3 - 80*h**2 - 380. Determine d so that z(d) = 0.
-2, 0, 2, 5
Let y be 805/966*9/30. Let 1/2*q**3 - y*q**4 + 0 + 1/4*q**2 - 1/2*q = 0. What is q?
-1, 0, 1, 2
Suppose 60 - 110 = -88*d - 50. Factor 2/5*q**2 + 4*q + d.
2*q*(q + 10)/5
Let y(m) = m**2 - m - 1. Let o(s) = 2*s**2 + 38*s + 63. Let q(p) = -o(p) - 3*y(p). Suppose q(l) = 0. What is l?
-4, -3
Let n be -3*(-3 - -1) + -1 + -5. Let q(y) be the third derivative of 0*y + 6*y**2 + n + 1/18*y**4 + 1/90*y**5 + 0*y**3.