 + 4/5*r**4 - 4/5*r**2 + 0 = 0.
-1, 0, 1/4, 1
Let a = 5/512 - -743/2560. Let h(j) be the first derivative of -28/15*j**3 - 16/5*j - a*j**4 - 16 - 4*j**2. Determine u so that h(u) = 0.
-2, -2/3
Let h(t) = 19*t**4 + 30*t**3 - 94*t**2 + 6*t - 12. Let c(o) = 54*o**4 + 88*o**3 - 281*o**2 + 17*o - 34. Let q(j) = 6*c(j) - 17*h(j). What is v in q(v) = 0?
-22, 0, 4
Let p(y) = -68*y**2 + 4156*y - 4232. Let j(d) = -28*d**2 + 1661*d - 1693. Let l(c) = 12*j(c) - 5*p(c). Factor l(f).
4*(f - 211)*(f - 1)
Let d = -18163 + 18168. Let a(y) be the third derivative of 0 + 0*y + 0*y**3 - 1/30*y**d - 1/105*y**7 - 25*y**2 + 0*y**4 - 1/30*y**6. Solve a(k) = 0 for k.
-1, 0
Let j = 1028259/4 + -257062. Factor 37/4*g - j*g**3 - 3/2 - 5*g**2.
-(g - 1)*(g + 3)*(11*g - 2)/4
Suppose -2*b + 3645 = -3*i, -27*i + 1 = -28*i. Suppose b*s + 24 = 1829*s. Factor -1/2*d**s + 0 - 1/4*d**2 - 1/4*d**4 + 0*d.
-d**2*(d + 1)**2/4
Let h(l) be the second derivative of -1/240*l**6 - 35*l + 1/16*l**4 + 0 + 0*l**5 - 19/2*l**2 + 1/6*l**3. Let s(k) be the first derivative of h(k). Factor s(d).
-(d - 2)*(d + 1)**2/2
Let q(m) = -m**3 - 3*m**2 + 15*m + 21. Let i be q(-6). Suppose 0 = 31*n - 163 + i. Factor 0*b - 4/7*b**5 - 8/7*b**3 - 12/7*b**n + 0 + 0*b**2.
-4*b**3*(b + 1)*(b + 2)/7
Let p(n) = -49*n**4 + 101*n**3 + 292*n**2 + 135*n - 32. Let z(u) = -u**4 + u**3 + 3*u. Let i(d) = p(d) - 5*z(d). Let i(j) = 0. Calculate j.
-1, 2/11, 4
Let w(k) = -20*k**2 + 144*k - 714. Let u(a) = -35*a**2 + 290*a - 1430. Let q(g) = 3*u(g) - 5*w(g). Factor q(m).
-5*(m - 24)*(m - 6)
Let p(a) be the third derivative of -a**7/2940 + a**6/126 - a**5/20 + 10*a**3 - 78*a**2. Let r(k) be the first derivative of p(k). Factor r(y).
-2*y*(y - 7)*(y - 3)/7
Let m(g) = 6*g**3 - 8*g**2 + 6*g - 2. Let y be m(1). Let l(r) = 54*r - 18. Let h be l(y). Suppose 6 + h*x + 675/2*x**2 = 0. Calculate x.
-2/15
Let w(d) be the third derivative of d**7/315 - 8*d**6/45 - 7*d**5/15 + 8*d**4 + 33*d**3 - 5*d**2 - 90*d. Solve w(v) = 0 for v.
-3, -1, 3, 33
Let z = 356 + -352. Find u such that -2*u**5 + 2*u - 116 + 2*u + 52*u**3 + 5*u**z + 88 + 77*u**2 = 0.
-2, -1, 1/2, 7
Let p(z) be the first derivative of z**5/210 + 13*z**4/42 + 169*z**3/21 + 13*z**2 + 64. Let y(w) be the second derivative of p(w). Factor y(o).
2*(o + 13)**2/7
Let p(g) be the third derivative of -g**5/30 + 4*g**4/3 + 80*g**3/3 - 1196*g**2 + 2. Solve p(j) = 0.
-4, 20
Let c(g) = 1355*g + 50151. Let j be c(-37). Suppose p**3 - j*p + 21/4 - 81/4*p**2 = 0. What is p?
-1, 1/4, 21
Factor 2/7*t**4 - 106/7*t**2 - 50/7*t**3 - 54/7*t + 0.
2*t*(t - 27)*(t + 1)**2/7
Factor -660 + 124 - 276*w + 2*w**2 - 2*w**2 + w**2 - 5*w**2.
-4*(w + 2)*(w + 67)
Let o = 13868/34669 - 2/173345. Factor -4*k**2 + 4 + o*k**3 - 2/5*k.
2*(k - 10)*(k - 1)*(k + 1)/5
Find p such that -441/5 - 1407/10*p - 9/2*p**3 - 569/10*p**2 - 1/10*p**4 = 0.
-21, -2, -1
Let x = -7553 + 7596. Let g(u) be the first derivative of x + 5/6*u**2 - 5/3*u**3 + 10/3*u. Factor g(t).
-5*(t - 1)*(3*t + 2)/3
Suppose 4*b - 5*y = -20, -14*y - 15 = 5*b - 19*y. Determine l, given that 3/8*l**b - 3/2*l**4 + 0*l + 0 - 3/4*l**2 + 15/8*l**3 = 0.
0, 1, 2
Let i = -27 - -117. Suppose 14*o - 5*o = i. Solve -38 + 10 + 12 + o*u + 8 - 2*u**2 = 0.
1, 4
Let -1016 + 1205 - h**2 + 9*h + 60*h - 15*h - 2*h**2 = 0. Calculate h.
-3, 21
Let d(f) = f**2 - 2*f + 2. Let r be d(0). Factor 5*v**2 + r*v**3 - 7*v - 15*v - v**2 - 24.
2*(v - 3)*(v + 1)*(v + 4)
Suppose -l + 5*q + 16 = -47, 2*l + 4*q = 140. Let g be 25/((-25)/2) + l/18. Let -4 - 2/9*k**3 - 14/3*k - g*k**2 = 0. Calculate k.
-3, -2
Let w(l) be the second derivative of l**5/2 - 2405*l**4/12 - 3625*l**3/6 - 605*l**2 + 292*l. Factor w(a).
5*(a - 242)*(a + 1)*(2*a + 1)
Let r(o) be the third derivative of -5/6*o**4 + 1/24*o**6 + 0*o + 10/3*o**3 - 11 - 1/12*o**5 + 4*o**2. Determine t, given that r(t) = 0.
-2, 1, 2
Let s(h) be the second derivative of h**6/30 - 6*h**5/5 - 75*h**4/4 + 2900*h**3/3 + 3000*h**2 + 3710*h. Factor s(f).
(f - 20)**2*(f + 1)*(f + 15)
Let y(f) be the first derivative of 9 + 1/30*f**4 - 20*f + 2/15*f**3 + 0*f**2. Let w(x) be the first derivative of y(x). Suppose w(j) = 0. What is j?
-2, 0
Let v be 150/125*5/2. Suppose -2*o + 113 = 3*i, -v*i = o - 0*i - 61. Solve -48*y - 17*y**3 - 9 + 0 - 7 - 4*y**4 - 7*y**3 - o*y**2 = 0.
-2, -1
Let r = -23104 + 23108. Let i(c) be the second derivative of 32*c**2 + 42*c + 8*c**3 + 1/20*c**5 + 0 - 5/4*c**r. Factor i(m).
(m - 8)**2*(m + 1)
Let t(j) be the second derivative of -j**6/840 + j**4/56 + j**3/21 - 203*j**2/2 + 4*j + 2. Let o(v) be the first derivative of t(v). Factor o(g).
-(g - 2)*(g + 1)**2/7
Let q(o) = -o**2 + 28*o + 38. Let i be q(30). Let b be i/(-28) - (-14)/(-28). What is y in b*y**2 + 0 + 2/7*y - 2/7*y**4 - 2/7*y**3 = 0?
-1, 0, 1
Suppose 49*y - 64*y = -30. Let q(s) = 2*s**3 - 4*s**2 + 6*s - 10. Let l be q(y). Let 2/9*n**l - 2/3*n - 8/9 = 0. Calculate n.
-1, 4
Let b(s) = 2489*s + 44804. Let z be b(-18). What is v in 132/7*v**z + 21296/7 + 2/7*v**3 + 2904/7*v = 0?
-22
Let -1/5*j**5 + 29/5*j**4 - 37*j**2 + 0 + 330*j - 149/5*j**3 = 0. What is j?
-3, 0, 5, 22
Suppose -a - 42 = -2*o - 6*o, -7 = -3*o - 4*a. Let s(m) be the first derivative of 55/6*m**3 + 25/4*m**2 + 5/2*m**4 + 6 - o*m. Factor s(w).
5*(w + 1)*(w + 2)*(4*w - 1)/2
Let n(u) be the second derivative of 80*u**3 + 26*u**5 - 190/3*u**4 - 11/2*u**6 + 0 - 40*u**2 + 10/21*u**7 + 231*u. Factor n(t).
5*(t - 2)**4*(4*t - 1)
Let x be (-759)/(-110)*3375/5175. Factor -x*b + 1/2*b**2 + 7.
(b - 7)*(b - 2)/2
Let h(q) = 2 + 5*q**3 + 13*q**2 + q**3 - 3*q**3 - 4*q**3. Let l be h(13). Solve 4*b + l - 5/2*b**2 = 0 for b.
-2/5, 2
Let m(c) = -6*c + 15. Let k be m(7). Let b = k + 32. Factor 2*i - 7*i**3 + 0*i**4 - 5*i**3 + b*i**2 + 16*i**3 + i**4.
i*(i + 1)**2*(i + 2)
Let t(y) = 38*y**3 + 48*y**2 + 106*y + 38. Let n(v) = -5*v**3 - 6*v**2 - 13*v - 6. Let g(l) = -46*n(l) - 6*t(l). Solve g(p) = 0 for p.
-3, 1, 8
Let c(y) be the third derivative of y**6/480 - 7*y**5/24 + 23*y**4/32 - 119*y**2. Factor c(p).
p*(p - 69)*(p - 1)/4
Let m(z) be the first derivative of z**4/2 - 8*z**3 - 123*z**2 - 380*z - 8047. Suppose m(n) = 0. What is n?
-5, -2, 19
Suppose -2/3*f**2 - 128/3*f - 248/3 = 0. Calculate f.
-62, -2
Factor 3*n**3 - 39934*n - 277*n**2 + 79866*n - 14*n**2 - 39935*n + 291.
3*(n - 97)*(n - 1)*(n + 1)
Let m = 52556/33 + -364592/231. Factor 19/7*t**4 - 1/7*t**5 - m*t + 4 - 79/7*t**3 + 19*t**2.
-(t - 14)*(t - 2)*(t - 1)**3/7
Let v(o) = 11*o - 29. Let z be (-4)/((32/24)/(-1)). Let d be v(z). Suppose 1/2*n**5 - 5/2*n**3 + 0 + 2*n + 0*n**d + 0*n**2 = 0. What is n?
-2, -1, 0, 1, 2
Let j(v) be the second derivative of -v**4/3 + 122*v**3/3 + 1924*v**2 - 2*v + 292. Factor j(q).
-4*(q - 74)*(q + 13)
Suppose 60*h - 61*h - 256 = 0. Let t be h/96 + 23/3. Factor -4/3*q + 0 - 10/3*q**2 + 2/3*q**4 - 2*q**3 + 2/3*q**t.
2*q*(q - 2)*(q + 1)**3/3
What is n in 27/2*n**2 - 6 + 3*n**3 + 9/2*n = 0?
-4, -1, 1/2
Let a be 627/55*50/90. Let i(l) be the second derivative of -160/21*l**7 + 0*l**2 - 16*l + 4/3*l**3 + 0 - a*l**4 - 16/15*l**6 + 51/5*l**5. Solve i(q) = 0 for q.
-1, 0, 1/4, 2/5
Let z(c) be the third derivative of c**7/1260 + c**6/144 - c**5/360 - 17*c**4/144 + c**3/3 + 8*c**2 - 5*c. What is x in z(x) = 0?
-4, -3, 1
Let c(y) be the second derivative of -y**7/105 + 7*y**6/15 - 97*y**5/50 + 29*y**4/30 + 98*y**3/15 - 64*y**2/5 + 3*y + 14. Let c(v) = 0. What is v?
-1, 1, 2, 32
Suppose -4*m - 27 = 13. Let l be m/(-4) + (-4)/32*-4. Determine t so that 0*t**3 - 2*t + 11*t**2 - 7*t + l*t - 3*t**3 = 0.
0, 2/3, 3
Let l(f) be the first derivative of f**5/80 + f**4/6 + 2*f**3/3 + f + 35. Let p(r) be the first derivative of l(r). Let p(h) = 0. What is h?
-4, 0
Let g(j) be the third derivative of 0*j + 1/3*j**4 + 305*j**2 + 15*j**3 - 1/30*j**5 + 0. Suppose g(w) = 0. What is w?
-5, 9
Suppose -2*n + 2 = -u - 0*u, 0 = -4*n + 8. Solve 1150*j**3 + 116*j**4 + 1720*j + 320 - 35*j**5 - 48*j**4 + 14*j**4 + 2420*j**u + 13*j**4 = 0.
-2, -1, -2/7, 8
Suppose 5320*s**3 + 1555*s**4 - 1519*s**4 + 24 - 1184*s**2 - 24 = 0. What is s?
-148, 0, 2/9
Let i(u) = 4*u**2 + 2*u - 1. Let f(j) = 14*j**2 - 1726*j - 503. Let v(k) = -f(k) + 7*i(k). Solve v(n) = 0 for n.
-124, -2/7
Let h(l) be the third derivative of 17/330*l**5 - 6*l**2 + 1/220*l**6 - 2*l + 0 + 3/22*l**4 - 8/33*l**3. 