7*w**4/9 - 111556*w**3/3 + 1307*w**2 + 4*w - 1. Determine m, given that x(m) = 0.
-1002
Factor -53369722125/2 - 11295/2*t**2 + 1/2*t**3 + 42525675/2*t.
(t - 3765)**3/2
Let r(m) be the first derivative of -m**3/33 - 131*m**2/2 + 1442*m/11 + 11758. Determine q so that r(q) = 0.
-1442, 1
Let q(m) = -m**3 + 6*m**2 + 8*m - 4. Let b be q(7). Suppose 18*s - 16 = -70*s + 160. Factor 0*r + 0 - 8/5*r**b + 4/5*r**s + 4/5*r**4.
4*r**2*(r - 1)**2/5
Factor 1630 - 4*g**2 + 1839 + 1400*g + 2211 - g**2.
-5*(g - 284)*(g + 4)
Let r(t) be the first derivative of 4*t**3/15 - 114*t**2/5 + 2624*t/5 - 5438. Factor r(w).
4*(w - 41)*(w - 16)/5
Factor 13/4*u**2 + 0 - 17*u + 1/4*u**3.
u*(u - 4)*(u + 17)/4
Let j(l) be the second derivative of 31/2*l**3 + 70*l + 3/4*l**4 + 0 + 15*l**2. Factor j(r).
3*(r + 10)*(3*r + 1)
Suppose -192*z + 512/7 + 126*z**2 = 0. Calculate z.
16/21
Suppose 2056/5*f - 2058/5 + 2/5*f**2 = 0. What is f?
-1029, 1
Let h(j) be the first derivative of j**6/15 + 18*j**5/25 + 19*j**4/10 + 2*j**3/5 - 4*j**2 - 24*j/5 - 219. Let h(n) = 0. Calculate n.
-6, -2, -1, 1
Let s(w) be the second derivative of w**6/2340 + w**5/390 + w**4/156 - 2*w**3/3 + 3*w - 6. Let j(y) be the second derivative of s(y). Factor j(t).
2*(t + 1)**2/13
Let w(d) be the second derivative of 1/30*d**6 + 108*d - 19/60*d**5 - 8/3*d**2 + 2/9*d**3 + 0 + 7/9*d**4. Let w(h) = 0. What is h?
-2/3, 1, 2, 4
Let y = -9890/3 + 3298. Let i(z) be the third derivative of -y*z**3 - 1/30*z**6 - 5/6*z**4 + 0 + 15*z**2 + 0*z - 4/15*z**5. Factor i(j).
-4*(j + 1)**2*(j + 2)
Let c(o) be the second derivative of 68*o**2 + 3*o**5 + 132*o - 10*o**3 - 35/3*o**4 + 2/15*o**6 + 0. Find g such that c(g) = 0.
-17, -1, 1, 2
Let g(r) = r**2 + 1084*r + 293770. Let v(x) = 3*x**2 + 3252*x + 881309. Let w(k) = -17*g(k) + 6*v(k). Suppose w(u) = 0. What is u?
-542
Let m(z) be the third derivative of z**6/30 + 61*z**5/15 + 85*z**4/3 - 464*z**3/3 - 7069*z**2. Factor m(u).
4*(u - 1)*(u + 4)*(u + 58)
Let f(y) = -6*y**4 + 630*y**3 + 49870*y**2 + 49306*y. Let i(x) = 5*x**4 - 630*x**3 - 49877*x**2 - 49305*x. Let h(b) = -7*f(b) - 8*i(b). Factor h(g).
2*g*(g + 1)*(g + 157)**2
Let q = 3789/26 - 18789/130. Factor -4/5*u**4 - 3/5*u**2 - 1/10*u - q*u**3 + 0.
-u*(2*u + 1)**3/10
Let t = 43 - 29. Let q(r) = -2*r + 33. Let m be q(t). Determine n, given that 35*n**2 + 9 - 5*n**3 - 15*n**4 - 17 + 8*n**m - 3*n**5 - 12 = 0.
-1, 1, 2
Let r = -675387/11 + 61399. Factor r*g**2 + 16/11*g - 18/11.
2*(g - 1)*(g + 9)/11
Find c, given that -1284*c - 9*c**2 - 3*c**2 + 1100*c + 10*c**2 = 0.
-92, 0
Let l be ((-23)/(-7) + -3)/(2/14). Suppose 5*w = -5*q + 115, 0 = -l*q + 7*q - 3*w - 91. Factor 3*t - 4*t**2 - 6*t - 7*t - 14*t - q.
-4*(t + 1)*(t + 5)
Let j(r) be the second derivative of -r**4/4 + 161*r**3/2 + 738*r**2 + 17*r + 63. Suppose j(t) = 0. What is t?
-3, 164
Let f = -738 - -3706/5. Let a(j) be the first derivative of 1/5*j**4 + 12 - 2/25*j**5 + 6/5*j**3 - f*j - 2/5*j**2. Suppose a(k) = 0. Calculate k.
-2, -1, 1, 4
Let b(o) be the second derivative of 0*o**2 - 1/42*o**4 + 0 - 2/315*o**6 + 29/6*o**3 - 15*o - 1/42*o**5. Let u(m) be the second derivative of b(m). Factor u(n).
-4*(n + 1)*(4*n + 1)/7
Let u(w) be the third derivative of -1/3*w**3 + 4/105*w**5 + 1/70*w**6 + 0 + 28*w + w**2 - 1/14*w**4 - 1/735*w**7. Determine q so that u(q) = 0.
-1, 1, 7
Let x = -279 + 281. Factor -19 - 7 - 6*z**2 - 15*z**x - 16 + 61*z - z**3 + 3*z**2.
-(z - 2)*(z - 1)*(z + 21)
Find m such that -207/2 + 1/4*m**2 + 205/4*m = 0.
-207, 2
Let r(v) be the second derivative of 36*v - 1/6*v**6 + 2 - v**5 - 25/12*v**4 - 5/3*v**3 + 0*v**2. Factor r(f).
-5*f*(f + 1)**2*(f + 2)
Suppose 3*o = 4*p - 50, 0 = 93*p - 97*p + o + 22. Factor 2/3*l**3 - 8/3*l - 8/3 + 2/3*l**p.
2*(l - 2)*(l + 1)*(l + 2)/3
Suppose 4 = 160*p - 158*p. What is z in 7*z + 7*z + p*z + 12*z**2 + 7*z - 7*z - 4*z**3 = 0?
-1, 0, 4
Factor 89*m**3 - 38*m**3 + 14*m**3 + 37*m**3 + 110*m + 4 + 172*m**2 + 36*m**2.
2*(m + 1)**2*(51*m + 2)
Let b be 13/2 - (-6265)/(-2506). Factor -4*n**2 + 4/5*n**b + 8/5*n + 12/5*n**3 + 0 - 4/5*n**5.
-4*n*(n - 1)**3*(n + 2)/5
Let f(n) be the first derivative of 13*n**5/60 - 3*n**4/8 - 2*n**3/3 + n**2 + 5*n - 63. Let z(p) be the second derivative of f(p). Find y, given that z(y) = 0.
-4/13, 1
What is c in -2/9*c**5 + 0 - 20/9*c**4 + 146/3*c**3 - 1880/9*c**2 + 2200/9*c = 0?
-22, 0, 2, 5
Determine x so that -1058/3*x + 46/3*x**2 - 2/9*x**3 + 24334/9 = 0.
23
Find f, given that -852*f + 777*f**3 + 3482/3*f**2 - 49/3*f**4 + 392/3 = 0.
-2, 2/7, 49
Let y = 6105/2708 - 3/677. Let w(p) be the first derivative of -y*p**4 + 0*p**2 - 7 + 7*p**3 - 12*p. Factor w(z).
-3*(z - 2)*(z - 1)*(3*z + 2)
Let d = -70593 - -70602. Suppose 3/2*r**2 - d + 3/2*r = 0. What is r?
-3, 2
Let z(c) be the third derivative of -c**6/216 - 7*c**5/8 + 40*c**4/9 + 7*c**3 + 67*c**2. Let l(r) be the first derivative of z(r). Factor l(q).
-5*(q - 1)*(q + 64)/3
Let p(f) be the third derivative of -f**7/315 - f**6/15 - 29*f**5/90 - f**4/2 - 4969*f**2. Factor p(i).
-2*i*(i + 1)*(i + 2)*(i + 9)/3
Let n(i) be the third derivative of -i**8/70560 - 2*i**7/2205 - i**5/10 - 2*i**3/3 - 2*i**2 - 66*i. Let k(c) be the third derivative of n(c). Factor k(u).
-2*u*(u + 16)/7
Let z be 0 + (-6)/(-4)*8. Suppose 0*y = q - 3*y - 12, 4*y = 5*q - 71. Factor 9*g**3 - q*g - z*g**2 + 3 - 7*g**3 - 5*g**3 - 9.
-3*(g + 1)**2*(g + 2)
Let m = 5 - -2. Let t(k) = -k**3 + 30*k**2 - 10*k - 549. Let j be t(29). Find c, given that -5 + 12 - m + 3*c**j - 3*c = 0.
0, 1
Suppose -4*f - 3*o + 167 = 0, 5*f - 4*f = 3*o + 53. Suppose -10*d = -f + 14. Factor -1/3 - 1/6*q + 1/6*q**d + 1/3*q**2.
(q - 1)*(q + 1)*(q + 2)/6
Let f(d) be the first derivative of 19/3*d**3 + 17 + 0*d**2 + 1/120*d**5 + 0*d + 1/720*d**6 + 0*d**4. Let o(i) be the third derivative of f(i). Factor o(c).
c*(c + 2)/2
Suppose 3*t + 55 = 5*r + 39, -t = 2. Let l(g) be the second derivative of -3*g - g**r + 1/18*g**4 + 0 + 2/9*g**3. Factor l(q).
2*(q - 1)*(q + 3)/3
Solve 1540/9 - 2/9*n**2 + 298/9*n = 0 for n.
-5, 154
Let u = 685248 + -2055736/3. Factor -5/3*f**3 + f**4 - u*f**2 - 7/3 + 1/6*f**5 + 11/2*f.
(f - 1)**3*(f + 2)*(f + 7)/6
Let b(d) be the second derivative of 588*d**2 - 28/3*d**3 + 1/18*d**4 + 210*d + 0. Solve b(y) = 0 for y.
42
Let n(c) = c - 2. Let t be n(6). Suppose i = 8 - t. Factor -521 - 2*x**i + 521 + 2*x**5.
2*x**4*(x - 1)
Let u(s) be the first derivative of -s**4/2 + 12*s**3 - 27*s**2 - 540*s + 648. Find l such that u(l) = 0.
-3, 6, 15
Let x(t) be the third derivative of 5 - 4*t**2 - 1/20*t**6 + 9/2*t**3 - 3*t**4 + 13/20*t**5 + 0*t. Suppose x(d) = 0. What is d?
1/2, 3
Let s = -148255/3 - -49445. Let 1/3*u**5 + 0*u + 17/3*u**4 + s*u**3 + 64/3*u**2 + 0 = 0. Calculate u.
-8, -1, 0
Let h(a) be the second derivative of -4*a**5/15 + 541*a**4/9 - 269*a**3/9 - 45*a**2 + 4566*a. Let h(p) = 0. Calculate p.
-1/4, 1/2, 135
Suppose -7*d + 6*d + 159680 = 0. Factor d*l - 65*l**2 - 76 - 84 - 159450*l - 5*l**3.
-5*(l - 2)*(l - 1)*(l + 16)
Factor 6/19 + 2/19*j**2 - 8/19*j.
2*(j - 3)*(j - 1)/19
Suppose 2*w - 5*w = -9. Let l be 11/3 + 2/(-9)*w. Suppose 6 - 21*m**3 - 4*m + 18*m**l + 12*m**2 + 0*m - 11*m = 0. What is m?
1, 2
Let f = 2000/363 - -140/121. Let b(z) be the first derivative of f*z**3 - 16*z - 2*z**2 + 32. Solve b(d) = 0 for d.
-4/5, 1
Find r such that 430*r + 860/3*r**2 + 50*r**3 + 5/3*r**4 + 575/3 = 0.
-23, -5, -1
Let v(s) be the third derivative of -s**8/588 + 6*s**7/245 - 23*s**6/210 + 11*s**5/105 + 4*s**4/7 - 40*s**3/21 - 1048*s**2. Solve v(y) = 0.
-1, 1, 2, 5
Let w(l) be the first derivative of -1/24*l**3 - 24 - 32*l + 2*l**2. Determine v so that w(v) = 0.
16
Let n(v) be the first derivative of 2/35*v**5 - 10/7*v**2 + 2/7*v**4 - 2/7*v**3 - 108 + 16/7*v. What is h in n(h) = 0?
-4, -2, 1
Let v be 979/(-99) + 11 - (31 + -27 + (-4740)/351). Factor -554/13*i + v + 8/13*i**2.
2*(i - 69)*(4*i - 1)/13
Let u(i) be the third derivative of i**5/60 + 49*i**4/6 - 197*i**3/6 + 2333*i**2. Factor u(s).
(s - 1)*(s + 197)
Let r be 1 + (-81)/63 - 70/(-147). Let i(w) be the first derivative of r*w**3 - 4/7*w**2 + 1/7*w**4 + 0*w + 7. Factor i(b).
4*b*(b - 1)*(b + 2)/7
Let x(y) be the first derivative of -52 + 4/3*y**2 + 4/9*y**3 + 0*y. Determine j so that x(j) = 0.
-2, 0
Let z(p) be the first derivative of -p**6/2 - 12*p**5/