 36*w**5/115 - 27*w**4/46 + 2080*w**3/69 + 2028*w**2/23 - 4441. Determine u so that k(u) = 0.
-6, -2, 0, 13
Suppose -k + 4*k = 3*d + 753, 2*d = 4*k - 1000. Let c be k/15 + 3/10*2. Factor 32/5*r**5 + 22/5*r + 2/5 + 146/5*r**3 + 112/5*r**4 + c*r**2.
2*(r + 1)**3*(4*r + 1)**2/5
Let f = -35 + 115. Suppose -4*d = -q - 0*q - 84, -5*q = 5*d - f. Factor 5*k - 3*k**3 - 6 - d*k - 3*k**2 - 9*k**2.
-3*(k + 1)**2*(k + 2)
Let u(v) = -v**2 - 5*v + 1. Let q be u(-7). Let y = q - -15. Factor -m**2 - 20*m - 2*m**y - 2*m**2 - 20.
-5*(m + 2)**2
Let y(b) = 2*b**3 - 4*b**2 + 2*b - 4. Let x be y(3). Factor -585*l**2 + 38*l + 16*l - 14*l + x.
-5*(9*l - 2)*(13*l + 2)
Let f(m) = -m**4 - m**3 - m. Let s(o) = 4320*o**2 + 27943 + 16*o**4 + 2*o**4 - 91943 - 22386*o - 218*o**3. Let l(g) = 14*f(g) + s(g). Solve l(q) = 0 for q.
-2, 20
Suppose 0 = -58010*c + 58014*c - j - 12, 2*c - 48 = 4*j. Suppose c - 4/9*q**3 + 0*q**2 - 8/3*q**5 + 28/9*q**4 + 0*q = 0. Calculate q.
0, 1/6, 1
Determine c so that -10*c - 78*c**2 - 6*c - 102*c**3 - 34*c**4 + 18*c**5 - 5*c**5 - 5*c**5 - 2*c**5 = 0.
-1, -1/3, 0, 8
Suppose -5 = -m + v, -9*v + 5*v = 12. Factor 42*c - 8*c**2 - 3*c**2 + 8*c**m + 96.
-3*(c - 16)*(c + 2)
Suppose 2*u = 3*u + 3*u. Suppose u = -8*b + 3*b + 15. Let -96*i**4 - 5 - 45*i**b + 29*i**3 - 44*i**5 + 88*i**2 + 60*i + 13 = 0. Calculate i.
-1, -2/11, 1
Suppose -a - 4 = -x, 4*a - 418 = -2*x - 416. Suppose -32/7*j**2 - 32/7*j - 10/7*j**x + 0 - 1/7*j**4 = 0. What is j?
-4, -2, 0
Let a(g) be the first derivative of 2*g**3/21 + 37*g**2/7 + 1789. Suppose a(d) = 0. Calculate d.
-37, 0
Let n(j) be the third derivative of -j**8/1344 + 57*j**7/280 - 167*j**6/480 - 511*j**5/240 + 7*j**4/4 + 85*j**3/6 + 545*j**2. Let n(r) = 0. Calculate r.
-1, 1, 2, 170
Find j such that 5*j**3 + 6 + 1802*j**2 - 1780*j**2 + 18*j + 5*j = 0.
-3, -1, -2/5
Factor -1/7*n**3 + 48/7*n + 128/7 + 0*n**2.
-(n - 8)*(n + 4)**2/7
Factor -1/7*l**2 - 1/7*l + 30.
-(l - 14)*(l + 15)/7
Let z(c) be the second derivative of c - 1/4*c**4 - 2 - 5/2*c**3 - 9*c**2. Factor z(j).
-3*(j + 2)*(j + 3)
Let i be (-6)/76*-2 + (-5695)/(-4845). Let 0 + 0*a - i*a**2 - 2/3*a**3 = 0. Calculate a.
-2, 0
Let c = -47628 - -714428/15. Let -2/15*w**2 - 2/5 - c*w = 0. Calculate w.
-3, -1
Let x(y) be the third derivative of -y**5/12 + 21*y**4/8 - 95*y**3/3 - 3*y**2 - 14. Factor x(n).
-(n - 5)*(5*n - 38)
Determine t so that -34/13*t**2 - 2/13*t**3 + 36/13*t + 0 = 0.
-18, 0, 1
Let u(h) = -h**3 - 37*h**2 + 2*h + 75. Let n be u(-37). Let p be (-3)/5 + 440/150 - n. Factor 2/3*y**2 - p + 2/3*y.
2*(y - 1)*(y + 2)/3
Let p(a) be the third derivative of -1/10*a**5 + 0*a**4 + 7/60*a**6 + 0*a + 1/168*a**8 + 2*a**2 - 1/21*a**7 - 9 + 0*a**3. Find f such that p(f) = 0.
0, 1, 3
Let w(p) be the first derivative of 0*p**2 + 0*p + 23/3*p**3 - 21 - 1/960*p**6 - 1/160*p**5 + 0*p**4. Let i(g) be the third derivative of w(g). Factor i(h).
-3*h*(h + 2)/8
Let s be (-72)/(-120) - 1757/2940. Let n(l) be the third derivative of -1/240*l**6 + 1/48*l**4 + 1/120*l**5 + 0*l**3 + 2*l**2 + 0 + 0*l - s*l**7. Factor n(m).
-m*(m - 1)*(m + 1)**2/2
Let z(i) be the first derivative of 9 - 17/15*i**3 + 3/2*i**2 + 2/5*i. Determine b, given that z(b) = 0.
-2/17, 1
Let r(f) be the third derivative of f**7/140 + 133*f**6/720 + 49*f**5/60 - f**4/2 - 20*f**2 + 150*f. Suppose r(c) = 0. Calculate c.
-12, -3, 0, 2/9
Suppose 86 + 428/5*o - 2/5*o**2 = 0. Calculate o.
-1, 215
Let d(s) = -s**2 + 8*s + 12. Suppose l + z + 24 = 4*l, 3*z = 2*l - 9. Let n be d(l). Factor -6*b**4 + 14*b**4 - n*b**4 - 10*b**3 + 5*b**5.
5*b**3*(b - 1)*(b + 2)
Factor -172/3 + 1/3*z**2 - 57*z.
(z - 172)*(z + 1)/3
Solve -16*n + 4/5*n**2 + 4/5*n**3 + 0 = 0.
-5, 0, 4
Let k(f) be the third derivative of 0*f**6 + 32*f**2 + 0*f + 2/5*f**4 + 0*f**3 + 0 - 1/560*f**8 - 4/25*f**5 + 2/175*f**7. Let k(w) = 0. Calculate w.
-2, 0, 2
Let g be -3 + (-87)/(-21) - 2304/4032. Factor 0 - 12/7*w**2 + g*w**3 + 8/7*w.
4*w*(w - 2)*(w - 1)/7
Let s be (3/4)/((-60)/114864). Let m = -1435 - s. Factor -m - 2/5*n + 4/5*n**2 + 2/5*n**3.
2*(n - 1)*(n + 1)*(n + 2)/5
Let o = -974 + 979. Let z**2 + 2*z**5 - 390*z**3 + 4*z**2 - 5*z**4 + 355*z**3 + 3*z**o + 12*z + 18*z = 0. Calculate z.
-2, -1, 0, 1, 3
Let y(m) be the first derivative of 2*m**5/25 - 157*m**4/10 - 426*m**3/5 - 803*m**2/5 - 644*m/5 - 4574. What is d in y(d) = 0?
-2, -1, 161
Factor -2/19*s**3 + 260/19*s + 400/19 + 26/19*s**2.
-2*(s - 20)*(s + 2)*(s + 5)/19
Let o = 193/171 - 10/9. Let y(d) be the second derivative of -1/19*d**2 + 1/57*d**4 - 15*d - o*d**3 + 0. Factor y(r).
2*(r - 1)*(2*r + 1)/19
Let b(f) be the first derivative of f**6/15 - 9*f**5/40 + f**4/12 + 69*f - 69. Let g(n) be the first derivative of b(n). Find p such that g(p) = 0.
0, 1/4, 2
Let x = 84 + -78. Suppose -x + 11*s**2 + 6 - 51*s**3 + 49*s**2 - 12*s + 12*s**4 = 0. Calculate s.
0, 1/4, 2
Let g = 3299 - 3291. Let t(u) be the first derivative of 18*u - 1/2*u**4 - 3*u**2 - 10/3*u**3 + g. Let t(o) = 0. What is o?
-3, 1
Let l(f) be the first derivative of 11/10*f**2 + f + 1/20*f**4 - 181 + 7/15*f**3. Factor l(a).
(a + 1)**2*(a + 5)/5
Let j(x) be the third derivative of 245/8*x**4 + 1/24*x**6 + 0 - 1715/6*x**3 + 0*x - 7/4*x**5 - 20*x**2. Let j(c) = 0. What is c?
7
Let o(d) be the second derivative of -3/11*d**3 - 1/165*d**6 - 53*d + 0*d**2 + 3/22*d**4 + 0 + 1/110*d**5. Determine x, given that o(x) = 0.
-3, 0, 1, 3
Suppose -310 = -235*f + 173*f. Let k(n) be the second derivative of 1/50*n**f + 15*n + 1/6*n**4 + 4/15*n**3 + 0*n**2 + 0. Find g, given that k(g) = 0.
-4, -1, 0
Let r = 11193 - 1208839/108. Let y(j) be the third derivative of 24*j**2 + 0*j**3 + r*j**4 + 0 + 1/270*j**5 + 0*j. Factor y(t).
2*t*(t + 5)/9
Let m = -92661 + 92663. Factor 2/13*n**3 + 2/13*n + 8/13*n**m - 12/13.
2*(n - 1)*(n + 2)*(n + 3)/13
Determine t, given that 26*t + 19369 - 19589 + 33*t - t**2 = 0.
4, 55
Let u be 6/45 - 1*(-403551)/(-270). Let z = -1490 - u. Factor -21/4*w**2 + z*w + 3/4*w**3 + 0.
3*w*(w - 6)*(w - 1)/4
Determine d so that 10/9*d**2 + 52/9*d - 2/9*d**3 - 80/3 = 0.
-5, 4, 6
Let -1712 + 2*w**4 + 1976 - 261*w**3 + w**4 + 261*w - w**4 + w**4 - 267*w**2 = 0. Calculate w.
-1, 1, 88
Find n such that 200/3*n**4 - 2/9*n**5 + 0*n + 0*n**2 + 602/9*n**3 + 0 = 0.
-1, 0, 301
Let v = 11578 - 115779/10. Let a(d) be the second derivative of 0*d**3 + 0*d**4 + 0 - 3/10*d**5 + 0*d**2 + 1/14*d**7 + 30*d - v*d**6. Let a(z) = 0. Calculate z.
-1, 0, 2
Let z(i) be the third derivative of -1/10*i**6 + 1/30*i**5 + 2*i**2 - 5 + 1/105*i**7 + 16/3*i**3 + 2*i**4 + 0*i. Factor z(k).
2*(k - 4)**2*(k + 1)**2
Let t(m) be the first derivative of -4*m**5/5 - m**4 + 328*m**3/3 - 160*m**2 + 1680. Factor t(j).
-4*j*(j - 8)*(j - 1)*(j + 10)
Suppose 36*t = 12*t - 504. Let u be -4 - ((-448)/t)/(-4). Solve 108 + u*x**2 - 24*x = 0.
9
Factor 108*u - 10 + 6 - 3*u**2 - 23 - 57 - 21.
-3*(u - 35)*(u - 1)
Let p(y) be the third derivative of -35*y**2 + 135/2*y**3 + 0 + 1/300*y**5 + 0*y - 3/4*y**4. Factor p(w).
(w - 45)**2/5
Suppose -1263 = -56*k - 365*k. Solve -3*s**4 + k*s**2 + 0 + 12/5*s - 9/5*s**3 - 3/5*s**5 = 0 for s.
-4, -1, 0, 1
Factor 4/7*f**3 + 32/7*f**2 - 92/7*f - 120.
4*(f - 5)*(f + 6)*(f + 7)/7
Let i(w) = -14*w**3 + 2*w. Let q be i(-3). Let m = 372 - q. Let 8/3 + m*p - 2/3*p**2 = 0. Calculate p.
-2, 2
Factor 40/7 - 2/7*c**2 - 2/7*c.
-2*(c - 4)*(c + 5)/7
Let a = 9312 - 9312. Let n(t) be the third derivative of 2/15*t**4 + 19*t**2 + 1/150*t**5 + a + 0*t + 16/15*t**3. Factor n(o).
2*(o + 4)**2/5
Let s(j) be the second derivative of 4/11*j**2 + 3/22*j**4 - 1/165*j**6 + 1/110*j**5 - 42 + 1/3*j**3 - j. Suppose s(f) = 0. Calculate f.
-1, 4
Solve -490*y - 1000 - 30*y**2 + 105*y**2 - 70*y**2 = 0.
-2, 100
Let i(h) = 3*h**2 + 4*h + 1. Let y(f) = 36*f**2 + 9434*f + 7347686. Let a(n) = -11*i(n) + y(n). Solve a(k) = 0 for k.
-1565
Let t(u) be the first derivative of -2*u**5/55 + 32*u**3/33 + 714. Factor t(j).
-2*j**2*(j - 4)*(j + 4)/11
Let y(u) = -4*u**3 - 3516*u**2 + 4*u - 4. Let s(i) = 4*i**3 + 3515*i**2 - 5*i + 5. Let g(n) = -4*s(n) - 5*y(n). Factor g(h).
4*h**2*(h + 880)
Let t(q) be the first derivative of 5*q**4/4 + 10*q**3 + 55*q**2/2 + 30*q - 1224. Factor t(w).
5*(w + 1)*(w + 2)*(w + 3)
Let x be 3/(-5)*(-30 - -20). Suppose x*k = 3*k + 9. Factor 28*y - 32*y**k + 6*y**2 - 37 - 14*y**2 - 8*y**4 + 4*y