se d(c) = 0. Calculate c.
-6, -2
Let g be 4180/931*2730/75. Factor -2/7*a**3 + 2704/7 - g*a - 100/7*a**2.
-2*(a - 2)*(a + 26)**2/7
Let f = 70894 - 70890. Factor 0 + 3/7*m**f - 3/7*m + 3/7*m**3 - 3/7*m**2.
3*m*(m - 1)*(m + 1)**2/7
Solve 12/7*u**4 + 72/7*u - 188/7*u**3 + 0 - 108/7*u**2 + 20/7*u**5 = 0 for u.
-3, -1, 0, 2/5, 3
Factor -30*v**3 - 5*v**2 + 4*v**4 + 2*v**2 - v**4 - 114*v**2.
3*v**2*(v - 13)*(v + 3)
Factor 11*h**3 - 60*h**2 - 1/2*h**4 - 135/2 + 117*h.
-(h - 15)*(h - 3)**2*(h - 1)/2
Let o(j) be the third derivative of -j**5/60 - 1717*j**4/24 - 286*j**3 + 25*j**2 - 14*j - 1. Find g such that o(g) = 0.
-1716, -1
Let q(l) = 7*l**2 - 9999*l - 2880. Let y(u) = 14*u**2 - 19997*u - 5771. Let d(a) = -5*q(a) + 2*y(a). Factor d(r).
-(r - 1429)*(7*r + 2)
Let r(v) = 3*v + 30. Let i be r(-9). Let q be (-80)/(i*1/(-6)). Factor q*n**2 - 12 + 8*n - 5*n - 156*n**2 + 5*n.
4*(n - 1)*(n + 3)
Suppose -3*y = -4*y + 2. Let m(f) be the first derivative of -3*f**3 - 2 + 10 + 2*f**3 + 6*f**y + 0*f**2 - 12*f. Determine q so that m(q) = 0.
2
Suppose -a + 5*v = -23, 337*a - 3*v = 332*a + 27. Factor 0*r - 3/5*r**4 - 3/5*r**2 + 6/5*r**a + 0.
-3*r**2*(r - 1)**2/5
Let h(z) be the first derivative of 0*z - 28 + 5/2*z**3 + 3/8*z**4 - 9/2*z**2. Find r such that h(r) = 0.
-6, 0, 1
Factor 0 + 0*o - 1/2*o**3 - 24*o**2.
-o**2*(o + 48)/2
Let q(o) be the second derivative of 81 + 1/18*o**4 + 1/9*o**3 - o - 20/3*o**2. Factor q(p).
2*(p - 4)*(p + 5)/3
Let j(x) be the third derivative of -x**7/35 - 21*x**6/40 + 3*x**5/10 + 67*x**4/8 + 21*x**3 - 2*x**2 - 91*x + 3. Find y such that j(y) = 0.
-21/2, -1, 2
Let w be 17 + (-1248)/(-72) + -29. Factor 0 + 10/3*g**3 - 2/3*g**4 + 8/3*g - w*g**2.
-2*g*(g - 2)**2*(g - 1)/3
Find g such that -105*g - 229*g + 310 + 2*g**2 - 132*g + 154 = 0.
1, 232
Let y(t) be the third derivative of 0 + 44*t**2 + 1/180*t**5 + 289/18*t**3 + 0*t - 17/36*t**4. Factor y(h).
(h - 17)**2/3
Let g = -25 - -28. Factor 1373*o**3 + 2*o**5 + 14*o**4 + 23*o**2 - 1345*o**g - 7*o**2.
2*o**2*(o + 1)*(o + 2)*(o + 4)
Let g(z) be the third derivative of -5*z**2 + 1/30*z**5 + 0*z**3 + 0 + 0*z**4 + z. Suppose g(h) = 0. Calculate h.
0
Let r(h) be the first derivative of 3*h + 24 + 0*h**3 + 3/8*h**4 - 9/4*h**2. Factor r(j).
3*(j - 1)**2*(j + 2)/2
Let u = 2028 + -2028. Let a(y) be the second derivative of -2*y**3 + 9/20*y**5 + 0 + u*y**2 - y**4 - 16*y. Factor a(p).
3*p*(p - 2)*(3*p + 2)
Let v be 4 + (54 - 35836/682). Find q, given that -v*q**2 + 16/11*q**3 + 2/11*q**4 - 2 + 64/11*q = 0.
-11, 1
Suppose 4*b - 24 = 3*d, 22*d - 15 = -b + 25*d. Find u such that 9*u**4 + 25 + 17*u**5 - 38*u**2 + 23 + 12*u**b - 10*u**2 - 20*u**5 = 0.
-2, -1, 2
Let x(f) = 95*f**3 - 2115*f**2 - 16445*f. Let y(b) = 13*b**3 - 302*b**2 - 2349*b. Let d(z) = 2*x(z) - 15*y(z). Let d(h) = 0. What is h?
-7, 0, 67
Let p = -134791 - -134795. Solve -12/5*c**p - 52/5*c**3 - 44/5*c - 76/5*c**2 - 8/5 = 0 for c.
-2, -1, -1/3
Suppose -178/5*o**3 - 24/5*o**5 + 86/5*o**2 + 122/5*o**4 + 0 - 6/5*o = 0. Calculate o.
0, 1/12, 1, 3
Let d(q) be the first derivative of -6*q**2 - 4/15*q**3 + 0*q + 230. Factor d(x).
-4*x*(x + 15)/5
Suppose 1700 = 155*z - 172*z. Let c be (-12 - z/8)/1. Let -1/4 - 5/8*y + c*y**4 + 1/8*y**5 + 1/2*y**3 - 1/4*y**2 = 0. Calculate y.
-2, -1, 1
Let t(o) = -3*o**3 + 9*o**2 + 19*o + 15. Let j(u) be the third derivative of -u**4/12 + 147*u**2. Let q(d) = 4*j(d) - t(d). Solve q(b) = 0.
-1, 5
Let l(s) be the second derivative of -13*s**5/10 + 937*s**4/27 - 7520*s**3/27 + 128*s**2/9 + 1698*s. Factor l(q).
-2*(q - 8)**2*(117*q - 2)/9
Suppose 5*h = 19 + 21. Suppose 9 = 5*m - 2*l, 0*l = -2*l - 4. Solve -6*u**3 + u**4 - 8 + 2*u + 3*u - m + u + h*u**2 = 0 for u.
-1, 1, 3
Suppose -3*j - 76 = -2*l - 0, l = 5*j + 129. Let d(r) = r + 29. Let p be d(j). Find b such that 1/2 + 3/2*b**2 - 1/2*b**p - 3/2*b = 0.
1
Let -3/7*c**3 + 1/7*c**5 + 2/7*c**2 + 0*c**4 + 0*c + 0 = 0. What is c?
-2, 0, 1
Let p(z) = 50*z**3 - 2887*z**2 + 1415*z + 1431. Let n(x) = 12*x**3 - 722*x**2 + 354*x + 358. Let b(a) = 9*n(a) - 2*p(a). Factor b(u).
4*(u - 90)*(u - 1)*(2*u + 1)
Let v(c) be the third derivative of c**5/80 - 23*c**4/32 + 51*c**3/4 + 2535*c**2. Factor v(h).
3*(h - 17)*(h - 6)/4
Let n(j) be the second derivative of -1 + 1/12*j**4 + 16*j**2 + 11/2*j**3 + 102*j. Factor n(g).
(g + 1)*(g + 32)
Factor -3510/11 - 3514/11*l**2 - 7022/11*l - 2/11*l**3.
-2*(l + 1)**2*(l + 1755)/11
Suppose j - 6*j = 0. Suppose j = 12*x - 3*x - 36. Factor 0*q + 2*q**3 - q - x*q**2 + 4 - q.
2*(q - 2)*(q - 1)*(q + 1)
Let t be (1060 - 1061)/((-1)/(-7)) + (-86)/(-8). Solve t*m - 9/2 - 3/4*m**2 = 0.
2, 3
Let y(q) be the first derivative of 4*q**3/3 + 3*q**2 + 24*q - 94. Let o(v) = 2*v**2 + 2*v + 12. Let x(m) = -11*o(m) + 6*y(m). Factor x(g).
2*(g + 1)*(g + 6)
Suppose 0*f - 228 = -n + f, 5*n - 2*f = 1146. Factor 4 + 513*x**2 - 578*x**2 + 2710*x**2 - n*x + 1.
5*(23*x - 1)**2
Suppose 191*s - 2 = 46*s - 2. Let c(q) be the second derivative of 1/90*q**6 + 0*q**4 + 0*q**2 + s*q**5 + 0*q**3 + 0 + 1/126*q**7 - 5*q. What is w in c(w) = 0?
-1, 0
Let h(q) be the second derivative of -q**6/200 - q**5/50 - q**4/40 + 39*q**2 - 61*q. Let n(x) be the first derivative of h(x). Determine m so that n(m) = 0.
-1, 0
Let k(p) be the first derivative of 21/8*p**4 + 3/10*p**5 + 15/2*p**3 + 39/4*p**2 + 6*p - 22. Factor k(v).
3*(v + 1)**3*(v + 4)/2
What is i in -1905*i + 4722 + 5397*i - 1922 + 690*i**2 - 2*i**3 = 0?
-4, -1, 350
Let q = 7024 + -7021. Let u(z) be the first derivative of 1/14*z**2 + 6/7*z + 1 - 1/21*z**q. Factor u(g).
-(g - 3)*(g + 2)/7
Let x(u) = -3*u**3 + 63*u**2 - 84*u - 42. Let t(h) = -4*h**3 + 64*h**2 - 84*h - 41. Let j = -822 - -816. Let o(v) = j*t(v) + 5*x(v). Factor o(y).
3*(y - 6)*(y - 2)*(3*y + 1)
Let n(y) = -2*y**2 - 25*y - 33. Let c be n(-9). Determine p so that -c*p**3 + 0*p + 30*p - 45*p**2 + 48 - 25*p**4 - 25*p**4 + 0*p**2 + 47*p**4 = 0.
-8, -2, -1, 1
Suppose -9*i + 12*i + 1812 = 0. Let s = i + 608. Find j, given that 2/3*j**2 + 0*j**s + j + 1/3*j**5 - 4/3*j**3 - 2/3 = 0.
-2, -1, 1
Let a(v) be the third derivative of -v**8/672 - 17*v**7/420 - 2*v**6/5 - 53*v**5/30 - 10*v**4/3 + 2915*v**2. Determine f, given that a(f) = 0.
-8, -5, -2, 0
Let p = 1255/1482 + -32/39. Let j(y) be the first derivative of p*y**4 - 6/19*y**2 + 2/57*y**3 - 15 + 0*y. Determine a, given that j(a) = 0.
-3, 0, 2
Let r = -8151/62 - -2582767/19158. Let b = -4/309 + r. Find y, given that -2 - 2/9*y**3 - b*y - 14/9*y**2 = 0.
-3, -1
Let q(u) = -8*u**4 + 992*u**3 - 163314*u**2 + 8817920*u + 18297178. Let l(p) = p**4 - 5*p**2 + 1. Let v(n) = -6*l(n) - q(n). Factor v(a).
2*(a - 166)**3*(a + 2)
Suppose 309 = 5*t - 2*z, 0 = 8*t - 4*t - 4*z - 240. Find o such that 18*o - t*o + 20*o**2 - 25*o**2 = 0.
-9, 0
Let v be -6*(-481)/390 - 4/10. Factor 4*d - 19*d**2 + v*d**3 + 21*d**2 - 8 + 13*d**3 + 30*d**2.
4*(d + 1)**2*(5*d - 2)
Factor -23070*b**2 - 3655*b + 11537*b**2 + 11528*b**2.
-5*b*(b + 731)
Let f = 313 + -313. Let x(o) be the third derivative of -23*o**2 - 1/42*o**7 + 0*o**4 + f - 1/12*o**5 + 0*o**3 - 1/12*o**6 + 0*o. Factor x(c).
-5*c**2*(c + 1)**2
Let t(u) be the third derivative of u**8/3192 - 4*u**7/1995 + u**6/1140 + u**5/57 - u**4/57 - 8*u**3/57 + 113*u**2 - 9. Factor t(j).
2*(j - 2)**3*(j + 1)**2/19
Suppose -362*m - 240*m + 2089 = 283. Solve -11/4*p**2 - 7/6 - 37/12*p - 1/12*p**4 - 11/12*p**m = 0.
-7, -2, -1
Let f(d) be the third derivative of -d**7/420 + 7*d**6/120 - 53*d**5/120 + 5*d**4/6 + 3027*d**2. Suppose f(v) = 0. Calculate v.
0, 1, 5, 8
Suppose 14 = -4*d + 22. Factor 4*l**3 + 15*l + l**4 - d + l**2 - 21*l + 2.
l*(l - 1)*(l + 2)*(l + 3)
Let m = -17/2 - -123/14. Let k be (-155)/(216535/254) - 146/(-77). Find a, given that 4*a**3 + 18/7*a + 32/7*a**2 + 4/7 + k*a**4 + m*a**5 = 0.
-2, -1
Let x(a) be the third derivative of -a**8/252 + 1034*a**7/315 - 8875*a**6/9 + 4998662*a**5/45 + 10265647*a**4/18 + 10355434*a**3/9 - 1416*a**2. Factor x(y).
-4*(y - 173)**3*(y + 1)**2/3
Let w(s) = 5*s**2 + s. Let x(c) = 48*c**2 - 2298*c - 665858. Let r(m) = -10*w(m) + x(m). Find p such that r(p) = 0.
-577
Suppose -14*m = -9*m - 4*c - 10080, 2016 = m + c. Factor m*g + 5357*g**2 + 228*g**3 - 4563 - 10908*g - 3*g**4 - 9455*g**2.
-3*(g - 39)**2*(g + 1)**2
Let b(s) be the first derivative of 2*s**3/9 + 238*s**2 + 84966*