2 - 3/5*g**r + 3/5*g**4 + 0.
3*g*(g - 1)**2*(g + 1)/5
Let p(a) = 5*a**2 + 14*a + 3. Let r be p(-3). Let b(c) = -4*c**2 - 214*c - 14. Let g(h) = h**2 + 43*h + 3. Let m(q) = r*b(q) + 28*g(q). Factor m(j).
4*j*(j - 20)
Let d(r) be the second derivative of -16*r + 7/48*r**3 + 1/24*r**4 - 23*r**2 + 0 + 1/480*r**5. Let j(i) be the first derivative of d(i). Factor j(n).
(n + 1)*(n + 7)/8
Let a = 600027/12925 + 143/1175. Suppose -a - 64/11*g - 2/11*g**2 = 0. Calculate g.
-16
Suppose -5 = 45*j - 67 - 28. Factor -2/7*m**j + 6/7*m - 4/7.
-2*(m - 2)*(m - 1)/7
Factor -23/2*v + 23/2*v**3 - 25/2*v**2 + 12 + 1/2*v**4.
(v - 1)**2*(v + 1)*(v + 24)/2
Let r(g) be the second derivative of 2*g**7/105 + 12*g**6/25 + 9*g**5/25 - 652*g**4/15 + 160*g**3 - 1152*g**2/5 - 470*g. Solve r(i) = 0.
-12, 1, 4
Let d(h) = -h**3 + 70*h**2 - 155*h + 1292. Let k be d(68). Solve k*n - 1/7*n**3 + 2/7*n**2 + 0 = 0 for n.
0, 2
Suppose 0*s + 2/13*s**4 + 0 + 66/13*s**3 - 68/13*s**2 = 0. Calculate s.
-34, 0, 1
Let r(h) be the first derivative of 8 + 1/4*h**2 - 12*h + 1/24*h**3 - 1/48*h**4. Let l(x) be the first derivative of r(x). Determine b so that l(b) = 0.
-1, 2
Let i = -57 - -81. Factor 5*o**2 - 39 - i*o**2 - 98*o - 14*o**2 - 3*o**3 - 12*o**2 + 17*o.
-3*(o + 1)**2*(o + 13)
Let k(w) be the third derivative of -w**6/300 + 2*w**5/75 + 13*w**4/15 + 16*w**3/3 + 5*w**2 - 50*w. Find f such that k(f) = 0.
-4, -2, 10
Factor 1/2*i**3 + 3/2*i**2 + 0 + i.
i*(i + 1)*(i + 2)/2
Let y be (1 - 1) + (-36)/(-42) - (-10317)/10136. Solve 3/2*a - y*a**2 - 3/4*a**3 + 9/2 = 0 for a.
-2, 3/2
Determine i so that -8978097 + 245*i**2 + 8978097 + 25*i**4 + 230*i**3 + 40*i = 0.
-8, -1, -1/5, 0
Let g(k) = 79*k**2 - 870*k + 13. Let t be g(11). Let l(b) be the first derivative of 4/3*b**3 + 4*b + 4*b**t + 6. Let l(a) = 0. Calculate a.
-1
Let t be -1*3/(-6) - (-6)/24*14. Factor -3/2*h + 0 + 21/8*h**2 - 3/8*h**t - 3/4*h**3.
-3*h*(h - 1)**2*(h + 4)/8
Let b(d) be the first derivative of d**5/120 + d**4/72 - 5*d**3/36 + d**2/4 + 102*d + 48. Let y(a) be the first derivative of b(a). What is j in y(j) = 0?
-3, 1
Let r(y) be the third derivative of -343*y**7/30 + 2009*y**6/480 + 47*y**5/120 + y**4/96 + 865*y**2. Factor r(f).
-f*(4*f - 1)*(49*f + 1)**2/4
Factor -18/7 - 2/7*i**4 + 4/7*i**2 - 8/7*i**3 + 24/7*i.
-2*(i - 1)**2*(i + 3)**2/7
Let q(s) be the third derivative of -s**7/630 - 4*s**6/135 - 8*s**5/45 + s**3/3 - 25*s**2. Let g(l) be the first derivative of q(l). Factor g(t).
-4*t*(t + 4)**2/3
Suppose 17*r - 54*r = 0. Let s(j) be the third derivative of r + 5/32*j**4 + 15*j**2 + 1/4*j**3 + 1/20*j**5 + 1/160*j**6 + 0*j. Let s(k) = 0. What is k?
-2, -1
Let t(x) be the second derivative of -x**5/10 + 609*x**4/2 - 370881*x**3 + 225866529*x**2 + 2*x - 1807. Find d, given that t(d) = 0.
609
Let o(n) = -4*n**2 - 2592*n + 2593. Let i(q) = -3*q**2 + q + 1. Let w(j) = 3*i(j) - o(j). Solve w(f) = 0 for f.
1, 518
Find z such that -2/9*z**3 - 20/3*z**2 + 112*z + 0 = 0.
-42, 0, 12
Let f = 169166 + -1522450/9. Factor 0 - 4/9*y**2 + f*y.
-4*y*(y - 11)/9
Let y(m) be the third derivative of m**6/8 + 341*m**5/12 + 375*m**4/8 - 565*m**3/6 + 2235*m**2. Find o such that y(o) = 0.
-113, -1, 1/3
Factor -88/3*g**2 + 2/3*g**3 + 88/3 - 2/3*g.
2*(g - 44)*(g - 1)*(g + 1)/3
Let z(n) be the third derivative of -162/385*n**7 + 0*n - 243/154*n**8 + 0*n**3 - 199*n**2 + 0 - 1/660*n**5 - 9/220*n**6 + 0*n**4. Solve z(k) = 0.
-1/18, 0
Let k(z) be the third derivative of z**6/720 + 13*z**5/120 - 43*z**4/36 + 233*z**2 + 2*z. Suppose k(m) = 0. Calculate m.
-43, 0, 4
Let g(u) be the third derivative of -u**7/1155 - 23*u**6/330 - 29*u**5/110 + 23*u**4/66 + 8*u**3/3 + 2137*u**2. Solve g(f) = 0.
-44, -2, -1, 1
Suppose 31*s = 30*s - 3*t - 11, 3*t + 35 = 5*s. Factor 1/6*x**5 - 1/3*x**3 + 0*x**2 + 0 + 1/6*x + 0*x**s.
x*(x - 1)**2*(x + 1)**2/6
Let g(a) = -12*a**4 - 836*a**3 + 16*a**2 - 4. Let y(z) = 34*z**4 + 2508*z**3 - 44*z**2 + 11. Let k(x) = -11*g(x) - 4*y(x). Factor k(f).
-4*f**3*(f + 209)
Factor -49*k + k**4 - 10*k**3 - 33*k - 334*k**2 + 291*k**2 + 50*k**3.
k*(k - 2)*(k + 1)*(k + 41)
Suppose -914*u + 910*u + 24 = 0. Let p(w) be the third derivative of 5/56*w**4 - 1/35*w**5 + 1/280*w**6 + 0 - 1/7*w**3 - u*w**2 + 0*w. Factor p(n).
3*(n - 2)*(n - 1)**2/7
Let x be -1 + -4 + 5 + 9. Find j such that 15 - x + 16*j + 2*j**2 + 26 = 0.
-4
Let x = -1495 + 1498. Let z be (-9)/63 - 1031/(-14). Let 189*v**x + 0 + 12*v + z*v**4 + 90*v**2 = 0. What is v?
-2, -2/7, 0
Suppose 5*n = 3*s + 29, 5*n + 314 = -s + 351. Find c such that 3/5*c**4 - 9/5 + 6/5*c**s + 12/5*c - 12/5*c**3 = 0.
-1, 1, 3
Let l(a) be the third derivative of a**5/20 - 314*a**4 + 788768*a**3 + 2631*a**2. Factor l(c).
3*(c - 1256)**2
Suppose -242*j = -90*j - 100*j - 4888. Solve -728/3*l + 2/3*l**4 + j*l**2 + 52/3*l**3 + 392/3 = 0 for l.
-14, 1
Let b(r) be the third derivative of -r**8/2240 - r**7/140 - r**6/48 - 7*r**4/6 + 7*r**2 - 2. Let z(s) be the second derivative of b(s). Factor z(i).
-3*i*(i + 1)*(i + 5)
Let m(y) be the second derivative of -y**7/630 - y**6/36 + y**4/6 - 5*y**3/6 + 14*y. Let v(n) be the third derivative of m(n). Let v(o) = 0. Calculate o.
-5, 0
Let j = 318060 + -954178/3. Let j*t**4 + 0 + 22/3*t**2 + 8/3*t + 13/3*t**3 = 0. What is t?
-4, -2, -1/2, 0
Suppose 5*b = 35, 13*b = i + 10*b + 21. Let z(v) be the third derivative of 1/20*v**6 + 0*v**4 + 0 - 1/21*v**7 - 7*v**2 + i*v**3 + 0*v + 1/15*v**5. Factor z(r).
-2*r**2*(r - 1)*(5*r + 2)
Let h(r) be the first derivative of 14*r**5/45 - 131*r**4/3 + 392*r**3/3 - 440*r**2/9 + 573. Solve h(w) = 0 for w.
0, 2/7, 2, 110
Let g(z) be the first derivative of 0*z - 1/42*z**4 - 7/2*z**2 + 0*z**3 - 1/210*z**6 - 2/105*z**5 - 12. Let j(k) be the second derivative of g(k). Factor j(m).
-4*m*(m + 1)**2/7
Let s = 142649 - 142647. Factor 800/3 + 2/3*h**s - 80/3*h.
2*(h - 20)**2/3
Let z be (-2)/28 - (26444/(-3696) + 7) - 5/(-3). Solve m - z*m**3 + 0*m**2 + 0 - 3/4*m**4 = 0.
-2, -1, 0, 2/3
Let b(k) = 0*k**2 - 6*k - 7*k**2 + 3*k**3 + 4 - 4*k**3. Let t be b(-6). Suppose 2*h + 0*h**2 + 4*h**2 - t + 0 - 2*h**2 = 0. Calculate h.
-2, 1
Suppose 4411*t - 4390*t = 2 - 2. Factor 2/17*h**3 + t + 4/17*h - 6/17*h**2.
2*h*(h - 2)*(h - 1)/17
Suppose 139*x - 21 = 132*x. Let s(t) be the second derivative of -2/105*t**6 + 0*t**5 + 1/147*t**7 + 0*t**x + 0 + 0*t**2 + 0*t**4 - 4*t. Factor s(c).
2*c**4*(c - 2)/7
Let z = -360/91 + 70/13. Suppose -2377*r = -5172 - 1959. Find t such that z - 16/7*t**r + 2/7*t**4 - 32/7*t + 36/7*t**2 = 0.
1, 5
Let m(h) = 4*h**2 - 121*h + 33. Let u be m(30). Factor -8*p + 63*p**u + 17*p + 27 - 256*p**2 + 3*p - 11.
(p - 4)*(7*p - 2)*(9*p + 2)
Let w(j) = -j**3 - 25*j**2 + 168*j + 2354. Let t be w(-28). Solve 5/3*f**3 + 10/3*f**t + 5/3*f + 0 = 0 for f.
-1, 0
Let p(q) be the first derivative of q**6/3 + 8*q**5/5 - 5*q**4/2 - 40*q**3/3 + 4*q**2 + 32*q + 4518. Solve p(x) = 0 for x.
-4, -2, -1, 1, 2
Let j(f) be the third derivative of -f**8/560 + 3*f**7/25 - 453*f**6/200 + 448*f**5/25 - 597*f**4/10 + 504*f**3/5 + 1189*f**2. Find d, given that j(d) = 0.
1, 6, 28
Let v(i) = i**2 + 75*i - 316. Let y be v(4). Let q(b) be the second derivative of y - 13*b + 2/3*b**2 + 1/54*b**4 - 5/27*b**3. Let q(s) = 0. What is s?
2, 3
Let m(l) be the third derivative of -l**8/84 + 2*l**7/21 + 31*l**6/30 + 43*l**5/15 + 3*l**4 - 56*l**2 - 41. Suppose m(d) = 0. What is d?
-2, -1, 0, 9
Let d(g) = -45*g**3 + 121*g**2 + 250*g - 320. Let m(r) = -720*r**3 + 1935*r**2 + 4000*r - 5120. Let o(k) = 95*d(k) - 6*m(k). Factor o(l).
5*(l - 1)*(l + 2)*(9*l - 32)
Let v = -63 + 111. Suppose 10*z + v = -2*z. Let s(q) = 2*q**2 - 7*q - 1. Let d(x) = 3*x**2 - 8*x. Let t(h) = z*s(h) + 3*d(h). Find g, given that t(g) = 0.
-2
Let z(m) be the second derivative of m**5/20 + 103*m**4/12 - 21*m - 16. Suppose z(f) = 0. What is f?
-103, 0
Let l(j) be the second derivative of -j**7/70 + 3*j**6/40 - j**4/2 + 55*j**2 + 17*j - 1. Let o(a) be the first derivative of l(a). What is v in o(v) = 0?
-1, 0, 2
Let l(f) be the third derivative of 0*f - 80*f**2 + 1/40*f**6 + 0*f**5 - 1/70*f**7 + 0*f**3 + 0 + 0*f**4. Find q, given that l(q) = 0.
0, 1
Let x(v) be the third derivative of v**7/945 + 11*v**6/270 - 73*v**5/270 + 25*v**4/54 - 2862*v**2. Let x(n) = 0. Calculate n.
-25, 0, 1, 2
Let v(y) be the first derivative of -y**5/