
-1, 0, 1
Let g = 7734955/7 + -1104993. Let -5/7*t**3 + 1/7*t**4 + 4/7 - 5/7*t**2 + g*t + 1/7*t**5 = 0. Calculate t.
-2, -1, 1, 2
Let c(m) = m**2 + 23*m - 24. Let z be c(-24). Let l be (-75)/(-140) - z - 5/20. Suppose -2/7*k**3 + 0*k + 0*k**4 + 0 + 0*k**2 + l*k**5 = 0. What is k?
-1, 0, 1
Let g = -712 - -710. Let t(c) = -22*c - 42. Let n be t(g). Factor 2/5*y**3 - 2/5*y**4 - 2/5*y + 2/5*y**n + 0.
-2*y*(y - 1)**2*(y + 1)/5
Let u(x) = x**2 + 25*x + 137. Let q be u(-15). Let l(a) = 20*a + 262. Let y be l(q). Factor -3/4*o**3 - 3/4*o**y + 0*o + 0.
-3*o**2*(o + 1)/4
Let d(m) = -6*m**2 - 12*m + 5. Suppose -4*p + 5*p + 3*b = -4, 0 = -5*p + b - 20. Let t(z) = -5*z**2 - 12*z + 4. Let r(k) = p*d(k) + 5*t(k). Factor r(l).
-l*(l + 12)
Solve -3957/5 + 3954/5*s + 3/5*s**2 = 0.
-1319, 1
Let d = 7 + -2. Let z be (-4)/(-5)*(5/(-2) + d). Factor -83*b**z + 6*b**3 - b**3 + 58*b**2 + 8*b + 12*b.
5*b*(b - 4)*(b - 1)
Let t = 1604259 + -14438243/9. Factor -t + 86/9*a + 2/9*a**2.
2*(a - 1)*(a + 44)/9
Find q, given that -1171/6 + 1/6*q**2 - 195*q = 0.
-1, 1171
Let p(j) be the second derivative of j**6/105 - j**5/7 + j**4/6 + 6*j**3/7 + 169*j - 5. Find m, given that p(m) = 0.
-1, 0, 2, 9
Let t(o) be the second derivative of -3/40*o**5 + 0*o**2 + 1/60*o**6 + 1/12*o**4 - 62*o + 0 + 0*o**3. Factor t(k).
k**2*(k - 2)*(k - 1)/2
Suppose -5*v = 5*t - 25, 5*t - 4*v = -v + 49. Suppose 3*i = 5*k - 1, -2 = 2*k - 6. Factor 4*q**4 - i*q**5 - 8 + t*q**4 - 12*q**3 + 2 + 15*q - 6*q**2.
-3*(q - 2)*(q - 1)**3*(q + 1)
Factor -48/7*r + 27/7*r**3 + 3/7*r**4 + 18/7*r**2 + 0.
3*r*(r - 1)*(r + 2)*(r + 8)/7
Let h = -449568 - -449568. Suppose -46/7*u + h*u**2 + 20/7 + 4/7*u**4 + 22/7*u**3 = 0. What is u?
-5, -2, 1/2, 1
Let y(o) be the first derivative of 4/7*o**3 - 1/70*o**6 + 9/70*o**5 - 17*o - 3/7*o**4 + 23 + 0*o**2. Let s(l) be the first derivative of y(l). Factor s(c).
-3*c*(c - 2)**3/7
Factor 13796 - 10151 - 5*n**4 + 29*n**3 - 489*n**2 - 119*n**3 + 129*n**2 + 810*n.
-5*(n - 3)*(n + 3)*(n + 9)**2
Let 284 - 574/3*f - 280/3*f**2 + 2/3*f**3 = 0. What is f?
-3, 1, 142
Let h(k) be the first derivative of -23*k**3 - 3/4*k**4 + 36*k**2 + 137 + 0*k. Factor h(s).
-3*s*(s - 1)*(s + 24)
Let g be 3*(-3)/9*-2. Let 6*u - 2*u**2 - g*u - u**2 - u = 0. Calculate u.
0, 1
Suppose 100*s**3 + 354*s**3 + 199*s**2 - 17*s**5 + 19*s**5 + 107*s**4 + 101*s**2 + 49*s**4 = 0. Calculate s.
-75, -2, -1, 0
Let c(m) be the first derivative of 4/7*m + 61 - 26/21*m**3 - 11/7*m**2. Factor c(t).
-2*(t + 1)*(13*t - 2)/7
Let -8/9*p - 2/9*p**2 + 280/9 = 0. What is p?
-14, 10
Let n(g) = 544*g + 1635. Let d be n(-3). Find b such that 27/8*b**2 + 9/4*b**d + 0 + 3/2*b + 3/8*b**4 = 0.
-4, -1, 0
Let l(v) be the third derivative of 0*v - 1/16*v**4 + 0 + 1/120*v**5 + 1/6*v**3 + 21*v**2. Factor l(m).
(m - 2)*(m - 1)/2
Find f such that 1137/2*f + 3/4*f**2 + 2271/4 = 0.
-757, -1
Let y = 73166 - 73162. Determine i so that 5/2 + 8*i + 9*i**2 + 1/2*i**4 + y*i**3 = 0.
-5, -1
Let w be (-4478)/8 + 10*(-12)/60. Let a = w + 562. Factor -2*j + 7/4 + a*j**2.
(j - 7)*(j - 1)/4
Factor 1/7*i**2 + 260/7 - 132/7*i.
(i - 130)*(i - 2)/7
Let c = 8542 - 8540. Let x(p) be the first derivative of -160*p**c - 40/3*p**3 - 3 - 5/12*p**4 - 2560/3*p. Let x(g) = 0. What is g?
-8
Let t(k) be the first derivative of -2*k**5/55 + 149*k**4/22 + 302*k**3/11 + 455*k**2/11 + 304*k/11 - 3321. Factor t(z).
-2*(z - 152)*(z + 1)**3/11
Let w(a) be the third derivative of -111*a**7/665 - 331*a**6/1140 + 67*a**5/114 + 331*a**4/228 - 2*a**3/57 + 8367*a**2. Let w(z) = 0. Calculate z.
-1, 2/333, 1
Let n(k) be the second derivative of 13*k**8/84 + 2*k**7/7 + k**6/15 - 53*k**2/2 + 6*k - 4. Let s(f) be the first derivative of n(f). Factor s(u).
4*u**3*(u + 1)*(13*u + 2)
Let i(k) be the second derivative of k**4/6 - 19*k**3/3 + 84*k**2 + 1289*k. Factor i(u).
2*(u - 12)*(u - 7)
Let x = 42 + -26. Suppose x*c - 10 = 11*c. Find i, given that -8*i + 0 + 0 - 3*i**c + 11*i = 0.
0, 1
Let i(q) = -q**3 - 5*q**2 - q + 7. Let l be i(-6). Let w = 52 - l. Suppose -2*a - 10*a**3 + 6*a**4 - 6*a**2 - 8*a**w + 21*a**3 - a = 0. Calculate a.
-1, -1/2, 0, 1
Suppose -1 = 34*t - 409. Suppose -358 = t*w - 382. Factor 2/9*n**w + 50/9 + 20/9*n.
2*(n + 5)**2/9
Let d = -1966/11 + 247727/1386. Let x(r) be the second derivative of 6*r + 0 + 0*r**3 + d*r**4 - 4/21*r**2. Factor x(b).
2*(b - 2)*(b + 2)/21
Let b(f) = f**3 + 20*f**2 - 21*f - 30. Let x be b(-21). Let o = x - -34. Factor -32*m - 10*m + 5*m**5 + 5*m - 23*m - 55*m**2 - 5*m**3 + 15*m**o - 20.
5*(m - 2)*(m + 1)**3*(m + 2)
Let x(w) be the third derivative of -w**7/630 + w**6/180 + w**5/20 - w**4/36 - 4*w**3/9 - w**2 - 255*w. What is t in x(t) = 0?
-2, -1, 1, 4
Let d(i) be the first derivative of 0*i - 1/20*i**4 - 22 + 0*i**2 + 16/15*i**3. Factor d(o).
-o**2*(o - 16)/5
Let f(h) = h**2 - 80*h - 798. Let n be f(-9). Let l be (-4)/(-14) - (-6)/(-21). Find r such that 4*r - 3 + n*r**2 + 1 + l - 5*r**2 = 0.
1
Let l = -141527/4 + 35382. Suppose 0 + 3/4*y**4 + 0*y - l*y**5 - 3/4*y**3 + 1/4*y**2 = 0. What is y?
0, 1
Let r = 2735 + -2733. Let y(c) be the first derivative of 5*c**4 - 2/5*c**5 - 30 + 60*c**r - 74/3*c**3 - 72*c. Factor y(i).
-2*(i - 3)**2*(i - 2)**2
Determine l so that 3/4*l - 3/2 + 3/4*l**2 = 0.
-2, 1
Let x(z) = -421*z - 127984. Let y be x(-304). Factor 2/7*k**2 + 4/7*k - 2/7*k**3 + y.
-2*k*(k - 2)*(k + 1)/7
Let d = 2852354/1854047 + 2/142619. Factor d*o - 6/13*o**2 + 0 - 2/13*o**3.
-2*o*(o - 2)*(o + 5)/13
Let t(h) be the third derivative of -h**5/100 + 29*h**4/40 - 12*h**3 + 2*h**2 - 29*h - 16. Factor t(d).
-3*(d - 24)*(d - 5)/5
Let y(q) be the first derivative of 2*q**3/27 + 46*q**2/9 + 1058*q/9 - 607. Factor y(x).
2*(x + 23)**2/9
Let t = 864 + -1026. Let w be (t/(-14))/((-123)/(-164)). Factor -1656/7*g**3 - 348/7*g + 108*g**4 + 1192/7*g**2 + 36/7 - w*g**5.
-4*(g - 3)**2*(3*g - 1)**3/7
Let d be (18/(-15))/3 + 1. Let a(r) = -r**2 + 47*r - 547. Let z be a(22). Factor -3/5*y**z + 0 + 6/5*y**2 - d*y.
-3*y*(y - 1)**2/5
Let w = -195 + 197. Factor 4*t**w + 12 - 4*t**2 - 31*t - 2*t**2 + 29*t.
-2*(t - 2)*(t + 3)
Let a(f) be the third derivative of f**8/441 - f**7/245 - f**6/180 + f**5/70 - f**4/252 + 241*f**2. Find y, given that a(y) = 0.
-1, 0, 1/8, 1
Suppose -18*h + 16*h = p - 47037, -4*p - 4*h = -188156. Factor -p*l - 6 + 15*l**3 + 47026*l + 0*l**2 + 6*l**2.
3*(l - 1)*(l + 1)*(5*l + 2)
Suppose -105 = 18*a - 21*a - 2*r, 2*a + 3*r - 70 = 0. Factor 27*c - 101*c + a*c**2 + 90 - 151*c.
5*(c - 6)*(7*c - 3)
Let s(n) = -2*n**2 + 3*n + 83. Let o be s(-6). Let c be (-396)/(-540) - (-2 + o/(-3)). Factor 4*g - 18/5 - c*g**2.
-2*(g - 9)*(g - 1)/5
Let g = -87 + 69. Let a(h) = h**2 + 20*h + 39. Let u be a(g). Factor -8*k**2 + 3*k**2 + 2 - 17 + 0 + 5*k**u - 25*k.
5*(k - 3)*(k + 1)**2
Let c(s) be the first derivative of 519115*s + 235*s**3 + 5/4*s**4 - 176 + 33135/2*s**2. Factor c(g).
5*(g + 47)**3
Let k(s) = -11*s**2 + 278*s + 1144. Let b(j) = -58*j**2 + 1390*j + 5720. Let i(y) = 3*b(y) - 16*k(y). Let i(a) = 0. Calculate a.
-4, 143
Let g = -58 + -1580. Let k = g - -1641. Let -335/4*b**k + 10 - 75/4*b**5 - 45/2*b**2 + 80*b**4 + 35*b = 0. Calculate b.
-2/5, -1/3, 1, 2
Let j = 24792265/1512 - 16397. Let w(x) be the third derivative of j*x**8 - 6*x**2 + 1/945*x**7 + 0 + 0*x**6 + 0*x**4 + 0*x + 0*x**5 + 0*x**3. Factor w(p).
2*p**4*(p + 1)/9
Find f, given that 33/2*f**4 - 163/4*f + 11/2 - 163/2*f**3 + 9/4*f**5 + 98*f**2 = 0.
-11, 1/3, 1, 2
Let c(a) be the first derivative of a**6/2 + 27*a**5/5 - 69*a**4/2 + 74*a**3 - 153*a**2/2 + 39*a - 12849. Let c(u) = 0. Calculate u.
-13, 1
Suppose 3 = 12*s - 21. Let 3*g**s + g - 2*g - 14*g + 18 = 0. Calculate g.
2, 3
Let x be 5 - 7 - (-2 + -30). Determine s so that 7*s**3 + 16*s - 61 + x + 43 - 25*s**2 = 0.
-3/7, 2
Let m(s) be the second derivative of 0*s**2 - 16 - 4/9*s**4 - 1/15*s**5 + 3*s - 2/3*s**3. Determine h, given that m(h) = 0.
-3, -1, 0
Let g(r) be the first derivative of -r**6/600 + r**5/200 + r**4/2 + 4*r**3/3 + 4*r**2 + 34. Let u(v) be the third derivative of g(v). Factor u(m).
-3*(m - 5)*(m + 4)/5
Let g(d) = 10*d**2 + 1335*d - 4005. Let w(a) = 2*a**2 + 334*a - 1000. Let j(k) = 4*g(k) - 18*w(k). Let j(p) = 0. What is p?
3, 165
Let a be 34846/76 + -18 + -20. Find n such that 1/2*n**2 + 29*n + a = 0.
-29
Factor 42/13*o + 36/13 + 2