/17
Let o(c) = 4*c + 66. Let h be o(-16). Factor 4*m**4 + 21*m + 32*m - 20*m**3 - 96 + 3*m**h + 27*m + 5*m**2.
4*(m - 3)*(m - 2)**2*(m + 2)
Let q = 182 + -155. Solve -23 + 12 - q - 22 + 5*z**2 + 5*z = 0 for z.
-4, 3
Let q(s) = -10*s**3 - 20*s**2 + 312*s - 6. Let u(d) = -9*d**3 - 20*d**2 + 360*d - 5. Let p(r) = 5*q(r) - 6*u(r). Find t such that p(t) = 0.
-15, 0, 10
Let n(z) be the third derivative of -1/90*z**5 + 0*z + 0*z**3 - 1 + 0*z**4 + 1/504*z**8 - 1/105*z**7 + 1/60*z**6 - 19*z**2. Let n(k) = 0. What is k?
0, 1
Let x = 426 + -424. Let q(u) be the first derivative of 7 - 6*u**x + 0*u + 4/3*u**3. Find w, given that q(w) = 0.
0, 3
Solve -29/4*v**2 - 43/2*v + 3/4 = 0.
-3, 1/29
Let b(x) be the second derivative of x**6/540 + 7*x**5/10 + 441*x**4/4 + 37*x**3/3 - x**2/2 - 9*x. Let t(v) be the second derivative of b(v). Factor t(k).
2*(k + 63)**2/3
Let f(d) be the first derivative of -102 - 2/25*d**5 - 14/5*d**4 - 392/15*d**3 + 0*d + 0*d**2. Find u, given that f(u) = 0.
-14, 0
Let u(v) = 2*v**2 - 2*v - 10. Let t(k) = k**2 - 7. Let b(m) = -5*t(m) + 3*u(m). Factor b(f).
(f - 5)*(f - 1)
Let z(b) = -b**2 + 2*b + 5. Let t(d) = 20*d**2 + 20320*d - 20746970. Let h(f) = -t(f) - 25*z(f). Find k such that h(k) = 0.
2037
Suppose -20 = -3*q - q + 3*v, 18 = 3*q - 3*v. Let r be (-6 - (-99)/15)*(55/(-18) - (7 + -12)). Solve -5/6*b**q - 1/6*b**3 - r*b - 1/2 = 0.
-3, -1
Let u(a) be the second derivative of 25/4*a**2 + 1 + 18*a - 5/8*a**3 - 5/48*a**4. Solve u(b) = 0 for b.
-5, 2
Let s be (-2 - 260)/(7 + -9). Suppose 2*g + 111 - s = 0. Find q such that 3*q - 25*q**2 + 9*q**2 + 5*q**2 + g*q**2 = 0.
0, 3
Suppose -194*z - 1578*z + 39*z = -6932. Solve 7/5*f**5 + 11/5*f**3 - 2/5*f**2 - 16/5*f**z + 0 + 0*f = 0 for f.
0, 2/7, 1
Find b, given that -19600 - 6332*b**3 - 297*b**4 - 40320*b + 193*b**4 - 4*b**5 - 1893*b**2 - 24863*b**2 - 196*b**4 = 0.
-35, -2, -1
Let c be 1551/(-33) - -47 - (2/(-1) + 0). Factor 0 + 2/19*g**c + 0*g.
2*g**2/19
Let r = -173 - -263. Suppose 2*l - 72 = r. Factor 75*b + 27*b**2 + b**3 + 810 + 137*b + 31*b - l.
(b + 9)**3
Let m(q) be the first derivative of q**4/24 - q**3/6 + q**2/4 - 42*q - 101. Let f(s) be the first derivative of m(s). Find l, given that f(l) = 0.
1
Let z(u) be the second derivative of -u**7/168 - u**6/60 + u**5/16 + 5*u**4/24 - u**3/6 - u**2 + 1539*u. Determine o so that z(o) = 0.
-2, -1, 1, 2
Let t(s) be the third derivative of -s**7/630 - 1391*s**6/180 - 1932097*s**5/180 + 161356*s**4/3 - 107648*s**3 - 7158*s**2. Factor t(z).
-(z - 1)**2*(z + 1392)**2/3
Let a(d) = -10*d - 2. Let c be a(1). Let v be (c/(-9) + -2)/(4/(-78)). Factor 4*n**2 + 15*n**2 + 4*n**3 + v*n**2 + 28*n**2 + 196 + 252*n.
4*(n + 1)*(n + 7)**2
Let x(u) be the third derivative of -u**8/2688 + 47*u**7/420 + 127*u**6/160 + 287*u**5/120 + 767*u**4/192 + 4*u**3 - 373*u**2. Factor x(c).
-(c - 192)*(c + 1)**4/8
Let k(f) be the first derivative of 0*f + 5/12*f**6 - 3/4*f**4 + 13/10*f**5 + 51 - 10/3*f**3 + 2*f**2. Determine w, given that k(w) = 0.
-2, 0, 2/5, 1
Let k = 4 + -2. Let g be (-20)/12*(28 - 31). Solve 4*l**3 - 4*l**g + 12*l**4 + 15 - 8*l**k - 20*l**2 + 0*l**3 + 1 = 0 for l.
-1, 1, 2
Let i be (-1)/((-25)/(-3835)) + 4/10. Let s = 156 + i. Factor 5/4*u**s + 1/4*u**4 + 3/4*u + 7/4*u**2 + 0.
u*(u + 1)**2*(u + 3)/4
Let z(g) = 4*g**2 - 7*g + 1. Let d be z(3). Let l be (d/(-24))/((-3)/9). Find r, given that -8/5*r**4 + 2*r**3 - 2/5*r**l + 0*r + 0 = 0.
0, 1/4, 1
Suppose -3*k + 2*q + 20 = 3*q, -4*q = -4*k. Find a such that 7*a**2 + 10*a**3 + 5 - 10*a - 7*a**2 - k*a**4 + 0*a**2 = 0.
-1, 1
Let n be 8/3 - (-4)/(-6). Let a = 4/347753 + 695486/1738765. Factor 2/5*i**n + a*i**3 + 0 + 0*i.
2*i**2*(i + 1)/5
Let x(b) be the first derivative of b**5/90 - 4*b**4/27 + 7*b**3/27 - 87*b + 31. Let j(s) be the first derivative of x(s). Suppose j(m) = 0. Calculate m.
0, 1, 7
Let a(n) be the first derivative of -2*n**3/15 + 76*n**2/5 - 30*n + 2435. Let a(d) = 0. What is d?
1, 75
Let a(v) = 32*v**3 - 18660*v**2 - 8704862*v - 42. Let f(h) = 7*h**3 - 3732*h**2 - 1740972*h - 9. Let c(s) = 3*a(s) - 14*f(s). Find o, given that c(o) = 0.
-933, 0
Let h be 2 - 66/36 - 77/552. Let w = 8/23 + h. Suppose 3/4 - 15/8*t - w*t**3 + 3/2*t**2 = 0. Calculate t.
1, 2
Let x = -79 + 83. Let j be 455/21 + 2 + x/(-6). Factor 4 + j*p**2 - 6*p + 45*p + 77*p**2 + p.
4*(5*p + 1)**2
Let j = -53787 - -53791. Find l, given that -2/5*l**5 - 4/5*l**2 + 0 - 8/5*l**j - 2*l**3 + 0*l = 0.
-2, -1, 0
Let v = -24 + 4. Let q = 22 + v. Factor -4*b**2 + 0*b**4 + 0 - 2 - 2*b**4 + 8*b**q.
-2*(b - 1)**2*(b + 1)**2
Factor -1276*a + 256*a**2 - a**3 - 452*a**2 - 787 - 299*a - 249*a**2 - 344*a**2.
-(a + 1)**2*(a + 787)
Let y(o) be the third derivative of -2*o**7/525 + 7*o**6/75 + o**5/5 + 1428*o**2 - 2*o. Factor y(g).
-4*g**2*(g - 15)*(g + 1)/5
Let z(r) be the third derivative of 4/3*r**3 + 1/6*r**6 + r**2 + 3/5*r**5 + 2*r + 2/105*r**7 + 0 + 7/6*r**4. What is q in z(q) = 0?
-2, -1
Determine x, given that -1136/3*x**2 - 854/3*x**4 - 224/3 + 1328/3*x - 49/3*x**5 - 2440/3*x**3 = 0.
-14, -2, 2/7
Let w(j) = 145*j**3 + j**2 + j - 1 - j**4 - 145*j**3. Let i(b) = -9*b**4 + 8*b**3 + 3*b**2 + 2*b - 4. Let y(k) = -i(k) + 4*w(k). Find v such that y(v) = 0.
-2/5, 0, 1
Let j = -412 + 413. Find l, given that -35 + 26*l**2 + 4*l + 7*l**2 - 4*l**3 + 4*l**2 - l**2 - j = 0.
-1, 1, 9
Let c(j) be the first derivative of 1/4*j**3 - 3/8*j**2 + 71 + 0*j. Factor c(b).
3*b*(b - 1)/4
Let g(t) be the third derivative of -t**6/240 + t**5/10 + 9*t**4/16 + 7*t**3/6 + t**2 - 83. Factor g(h).
-(h - 14)*(h + 1)**2/2
Let r(h) be the third derivative of -5/3*h**4 - 96*h**2 + 1/12*h**5 + 1/24*h**6 - 10*h**3 + 0 + 0*h. Factor r(g).
5*(g - 3)*(g + 2)**2
Let i(w) be the second derivative of w**4/4 - 917*w**3 + 2522667*w**2/2 - 87*w - 14. Find f, given that i(f) = 0.
917
Let r(i) = i**3 + 8*i**2 - 15*i - 66. Let a(g) = 4*g**3 + 34*g**2 - 59*g - 267. Let t(y) = 8*a(y) - 36*r(y). What is q in t(q) = 0?
-5, -3, 4
Let q be (-30)/(-375)*25 - (-63)/(-45). Factor 108/5*c**2 + 39/5*c**4 - 144/5*c**3 + 0*c - q*c**5 + 0.
-3*c**2*(c - 6)**2*(c - 1)/5
Let o(n) be the third derivative of -n**6/24 - 17*n**5/12 - 75*n**4/4 - 120*n**3 + 3008*n**2. Factor o(d).
-5*(d + 3)*(d + 6)*(d + 8)
Solve -2110530*r - 1279*r**2 + 7615092*r - 27720*r**3 + 13858*r**3 + 13864*r**3 - 5357*r**2 = 0 for r.
0, 1659
Let n(z) be the third derivative of -z**7/1575 + z**6/150 - 4*z**5/225 - z**4/30 + z**3/5 + 1497*z**2. What is x in n(x) = 0?
-1, 1, 3
Let w be (-3)/(-7)*(9 - 9580/1080). Let z(h) be the first derivative of -w*h**4 - 10/9*h + 1/9*h**2 + 10/27*h**3 + 7. Solve z(l) = 0 for l.
-1, 1, 5
Solve 125/2*b**2 + 0 - 5/2*b**4 - 70*b + 10*b**3 = 0.
-4, 0, 1, 7
Let a be 1/5 + 10*247/650. Suppose 13 = -4*v - 5*r, -4*v - a*r = v + 5. Factor 8/9 - 16/9*h - 2/9*h**v + 10/9*h**2.
-2*(h - 2)**2*(h - 1)/9
Let c = -2/9 + 5/9. Suppose 400*g = 15*g + 770. Factor -1/6*l**g + c*l + 0.
-l*(l - 2)/6
Let c(j) be the third derivative of -j**8/80640 - j**7/5040 - j**6/960 - 23*j**5/30 - j**2 - 16. Let f(r) be the third derivative of c(r). Solve f(o) = 0.
-3, -1
Let l(n) = -2*n**2 - 230*n + 19154. Let h be l(56). Factor 6/5*u**h - 46/5*u + 28/5.
2*(u - 7)*(3*u - 2)/5
Let c(m) be the second derivative of m**5/4 - 35*m**4/6 + 110*m**3/3 - 100*m**2 - 1392*m. Let c(d) = 0. What is d?
2, 10
Let s(c) be the third derivative of 0 + 0*c + 1/20*c**5 + 0*c**4 + 76*c**2 + 0*c**3 - 1/224*c**8 + 3/80*c**6 + 0*c**7. Factor s(h).
-3*h**2*(h - 2)*(h + 1)**2/2
Let t be (6 + -2 - -28) + (-9 - 0). Let x(v) be the third derivative of 0 + 1/36*v**4 - t*v**2 - 1/180*v**5 + 0*v + 0*v**3 - 1/360*v**6. Factor x(y).
-y*(y - 1)*(y + 2)/3
Suppose 0 = -4*u + 3*f - 46, -2560*u + 2556*u + 62 = 3*f. Solve -4 - 13/2*l**u - 15*l = 0 for l.
-2, -4/13
Let f(s) be the first derivative of -s**4/22 + 158*s**3/33 - 76*s**2/11 - 312*s/11 + 2662. Factor f(n).
-2*(n - 78)*(n - 2)*(n + 1)/11
Let n(s) be the second derivative of 1/70*s**5 + 0*s**2 - 1/105*s**6 - 16*s + 1 - 1/21*s**3 + 1/42*s**4. Find k, given that n(k) = 0.
-1, 0, 1
Let d(y) be the third derivative of -y**6/140 - 111*y**5/70 - 1035*y**4/28 - 2525*y**3/7 + 4*y**2 - 137. Let d(o) = 0. What is o?
-101, -5
Let j(f) = -2*f**2 + 2*f - 2. Let m(y) = 16*y**4 - 84*y**3 + 144*y**2 - 88*y + 24. Let a(u) = 6*j(u) + m(u).