 + 2*s. Factor g(r).
-4*(r + 4)*(3*r + 1)/7
Suppose 1148*j**3 - 2289*j**3 - 1 - 1110*j**2 + 4392*j + 1144*j**3 + 1 = 0. What is j?
0, 4, 366
Let k(n) be the first derivative of -5*n**3/3 - 855*n**2 - 146205*n + 1973. Factor k(z).
-5*(z + 171)**2
Let u(d) be the second derivative of -d**5/5 - 37*d**4 - 1680*d**3 + 64800*d**2 - 188*d - 2. Factor u(p).
-4*(p - 9)*(p + 60)**2
Let k(l) be the first derivative of -l**6/2 + 21*l**5/5 - 39*l**4/4 - 3*l**3 + 27*l**2 + 5621. Suppose k(h) = 0. What is h?
-1, 0, 2, 3
Suppose 30*j + 959 = 37*j. Factor 121 - 12*d**2 - 30*d - j + 2*d**3 + 0*d**3.
2*(d - 8)*(d + 1)**2
Let p(o) = o**3 - 21*o**2 + 36*o + 22. Let y be p(19). Let w(g) = g**2 + 13*g + 16. Let b be w(y). Let 85*j - b*j - 128 + 448 + 5*j**2 + 59*j = 0. Calculate j.
-8
Factor -96 + 36*a - 51*a**3 + 78*a**2 + 3/2*a**5 + 9/2*a**4.
3*(a - 2)**3*(a + 1)*(a + 8)/2
Let i(b) = b**3 - 11*b**2 + 23*b + 11. Let l be i(8). Factor -8 + 110*h**l - 106*h**3 + 16*h**2 - 8 - 4*h.
4*(h - 1)*(h + 1)*(h + 4)
Factor 114/7 + 6*d**2 + 155/7*d + 1/7*d**3.
(d + 1)*(d + 3)*(d + 38)/7
Let g(o) be the second derivative of o**5/30 - 20*o**4/3 + 2541*o + 2. Factor g(l).
2*l**2*(l - 120)/3
Let r be 3/210*-14 + 1935/175. Factor r*v + 20/7 - 16/7*v**2.
-4*(v - 5)*(4*v + 1)/7
Let b be (-10 + -5)*2/10*-1. Suppose -5*p + 2 = 4*w, -8 = -p + b*w - 0*w. Factor -4 + 2/3*z**p + 10/3*z.
2*(z - 1)*(z + 6)/3
Suppose -21 = -z - 3*h, 3*z + 3*h = 1 + 32. Suppose -z*c + 10 = -c. Factor 18*s**2 - 3*s**3 - 144*s + 16*s**c - 27 + 219 + 2*s**2.
-3*(s - 4)**3
Let n(c) be the first derivative of c**4/2 - 70*c**3/3 + 34*c**2 + 928. Factor n(a).
2*a*(a - 34)*(a - 1)
Suppose 4*o - 2*s = 30, 0 = -5*o - 0*o + 4*s + 45. Determine n, given that -3*n**4 - n**4 - 8*n**3 + 25*n**3 + 7*n**3 - 4*n**o + 0*n**5 = 0.
-3, 0, 2
Factor 170 - x**2 + 209 + 210 - 42*x - 501.
-(x - 2)*(x + 44)
Factor -171/2*z**2 + 0 + 3/2*z**4 + 15/2*z**3 + 297/2*z.
3*z*(z - 3)**2*(z + 11)/2
Suppose 0 = 2*f - 2*o - 64, 2*f - 6*f + 5*o + 133 = 0. Factor 4 - 81*p - f*p**2 + 2 - 37 - 3*p**3 - 50.
-3*(p + 3)**3
Let v(w) = 2*w**2 - 3*w**2 - 7*w**2 - 32 - 13 - 7*w**2 - 72*w. Let i(q) = q**2 - q - 3. Let d(g) = -12*i(g) - v(g). Solve d(l) = 0.
-27, -1
Suppose 126*z**2 + 37/2*z**4 + 0 + 1/2*z**5 - 324*z + 179*z**3 = 0. What is z?
-18, -2, 0, 1
Let 618*c - 1563*c + 783*c**2 - 242*c**2 - 190 - 241*c**2 - 275*c**2 = 0. Calculate c.
-1/5, 38
Suppose -5*x = -216*o + 212*o - 8486, -3*o - 12 = 0. Let j = x + -5078/3. Factor -1/3*t**4 - 2*t**2 + 4/3*t + j*t**3 - 1/3.
-(t - 1)**4/3
Let o(d) be the third derivative of -d**6/240 + 31*d**5/15 + 499*d**4/48 + 125*d**3/6 + 3*d**2 - 861. Factor o(k).
-(k - 250)*(k + 1)**2/2
Let h(l) be the second derivative of l**4/18 - l**3/3 - 6*l**2 + 8*l - 18. Factor h(v).
2*(v - 6)*(v + 3)/3
Factor 867/8*t**2 + 869/8 - 1737/8*t + 1/8*t**3.
(t - 1)**2*(t + 869)/8
Let k(l) = -41*l**3 - 111*l**2 + 217*l + 32. Let r(o) = 8*o**3 - o**2 + o. Let p(c) = -3*k(c) - 21*r(c). Let p(f) = 0. What is f?
-2/15, 4
Let x = 34779 - 34779. What is b in -23/8*b - 1/8*b**4 - 47/8*b**2 + x - 25/8*b**3 = 0?
-23, -1, 0
Let c = -8825 + 8831. Let b(i) be the first derivative of 1/3*i**c + 1/2*i**4 + 6/5*i**5 - 20 - 2*i**2 + 0*i - 2*i**3. Factor b(k).
2*k*(k - 1)*(k + 1)**2*(k + 2)
Let u(c) be the first derivative of 20/57*c**3 - 16/19*c - 27/38*c**4 - 1/19*c**6 + 12/19*c**2 + 32/95*c**5 - 162. Find x such that u(x) = 0.
-2/3, 1, 2
Let s(o) be the third derivative of o**6/360 + o**5/30 - o**4/2 + 25*o**3/2 + 16*o**2 + o. Let i(l) be the first derivative of s(l). Factor i(h).
(h - 2)*(h + 6)
Let q(d) be the first derivative of 0*d + 1/48*d**6 + 0*d**4 + 13 + 0*d**3 - 33/2*d**2 - 1/12*d**5. Let y(u) be the second derivative of q(u). Solve y(j) = 0.
0, 2
Let q be (-1026)/(-38) - (-2 - -10). Let o(z) be the first derivative of 1/11*z**2 + 2/33*z**3 + q - 4/11*z. Find x such that o(x) = 0.
-2, 1
Suppose -4*h + 3*q = 7, -2*h + 47384*q = 47385*q - 9. Let -2/3*k**3 - 294 - 322*k - 86/3*k**h = 0. What is k?
-21, -1
Suppose 4*d - 4*g - 228 = 2*d, 0 = g + 3. Let x = d - 99. Suppose 30*o**3 - x*o**3 - 21*o**5 - 45*o**4 + 11*o**5 + 4*o**3 = 0. What is o?
-5, 0, 1/2
Let t(p) be the second derivative of -p**4/3 - 644*p**3 - 466578*p**2 - 2*p - 194. Find y such that t(y) = 0.
-483
Let q be -195 - -207 - (-1 + 933/72). Let a(v) be the second derivative of -31*v + q*v**3 + 1/160*v**5 - 1/32*v**4 + 0*v**2 + 0. Suppose a(n) = 0. Calculate n.
0, 1, 2
Let n be (1/((-4)/3))/(-1)*158/316. Let t(b) be the first derivative of b**3 + 0*b**2 + 0*b - 16 + n*b**4. Find s such that t(s) = 0.
-2, 0
Let n be -18*((-184)/(-48) - 5 - 0). Suppose -n*p - 22*p = 23*p. Suppose z**2 + 1/2*z**5 + p*z + 0*z**4 - 3/2*z**3 + 0 = 0. Calculate z.
-2, 0, 1
Solve 96/7 - 416/7*i + 104/7*i**3 - 46/7*i**4 + 160/7*i**2 = 0.
-2, 6/23, 2
Factor 297/8 + 1/8*k**2 + 21/4*k.
(k + 9)*(k + 33)/8
Let c(a) be the second derivative of -22*a + 23/18*a**3 - 529/12*a**2 - 1/72*a**4 + 2. Factor c(j).
-(j - 23)**2/6
Let t be (-9 + (-26)/(-3))/(135/(-486)). Determine a, given that t*a**2 - 2/5*a**4 - 4/5*a**3 + 8/5 + 16/5*a = 0.
-2, -1, 2
Let g = 4/5387 - -5315/96966. Let b(n) be the third derivative of 1/270*n**6 + 0*n - 23*n**2 + 0 + 0*n**5 - g*n**4 + 4/27*n**3. Factor b(h).
4*(h - 1)**2*(h + 2)/9
Find w, given that -72/7*w + 4/7*w**2 + 44 = 0.
7, 11
Let h(m) be the third derivative of 0*m**3 + 9/10*m**6 + 0 - 156*m**2 - 56/5*m**5 - 98/3*m**4 + 0*m - 2/105*m**7. Factor h(s).
-4*s*(s - 14)**2*(s + 1)
Let y(l) be the first derivative of -5*l**4/16 - 5*l**3/3 + 5*l**2/2 + 20*l - 4082. Suppose y(n) = 0. Calculate n.
-4, -2, 2
Let w(z) = -388*z - 119101. Let b be w(-307). Factor -b*u**4 + 24*u + 12*u**2 + 0 + 75/2*u**5 - 117/2*u**3.
3*u*(u - 1)**2*(5*u + 4)**2/2
Let w(x) be the second derivative of 4*x**6/195 - 32*x**5/65 + 61*x**4/78 - 5*x**3/13 - 1229*x. Factor w(v).
2*v*(v - 15)*(2*v - 1)**2/13
Let f(c) be the first derivative of -c**5/60 + 7*c**4/24 - 2*c**3 + 2*c**2 + 8*c - 8. Let j(u) be the second derivative of f(u). Let j(q) = 0. Calculate q.
3, 4
Let j = -22 + 153. Let f = 133 - j. Factor f*m**4 - 4*m**3 + 2*m**5 + 2*m + 3 - 4*m**2 + 0 - 4 + 3.
2*(m - 1)**2*(m + 1)**3
Let m(f) be the first derivative of f**5/5 + f**4 - 38*f**3/3 + 30*f**2 - 27*f + 3363. Suppose m(j) = 0. What is j?
-9, 1, 3
Factor -4*r**3 - 36*r - 40 - 39*r + 9*r**3 - 5*r**2 + 18*r + 7*r.
5*(r - 4)*(r + 1)*(r + 2)
Let v = 347/644 + 3/92. Let x(m) be the second derivative of 2/21*m**3 + v*m**2 + 15*m - 5/42*m**4 + 3/140*m**5 + 0. Factor x(g).
(g - 2)**2*(3*g + 2)/7
Determine l so that -108 + 42*l + 68*l + 3*l**3 + 34*l - 39*l**2 = 0.
1, 6
Suppose 18 = 1599*m - 1596*m. Let x(f) be the third derivative of 13*f**2 - 1/4*f**4 - f**3 + 0*f + 0 + 1/40*f**5 + 1/80*f**m. Solve x(r) = 0 for r.
-2, -1, 2
Factor 134689/6 - 1/6*c**3 + 245/2*c**2 - 45141/2*c.
-(c - 367)**2*(c - 1)/6
Let j(k) = 3*k**3 - k**2 - 2*k - 1. Let p(m) = -21*m**3 + 65*m**2 + 226*m + 8. Let y(s) = 8*j(s) + p(s). Suppose y(l) = 0. Calculate l.
-14, -5, 0
Let o(r) be the third derivative of -r**4/24 - r**3/6 + r**2 - 41*r. Let f(h) = 2*h**2 + 11*h - 63. Let i(z) = 2*f(z) + 14*o(z). Factor i(n).
4*(n - 5)*(n + 7)
Let b(q) be the second derivative of q**6/10 + 1833*q**5/20 + 305*q**4/2 + 4388*q. What is m in b(m) = 0?
-610, -1, 0
Let r = -63475 + 63478. Suppose -5/2*p - 1/2*p**2 - r = 0. What is p?
-3, -2
Let x(p) be the third derivative of -p**5/120 - 55*p**4/48 + 59*p**3/3 + 1024*p**2. What is d in x(d) = 0?
-59, 4
Let -147/2*i**3 - 936*i**2 - 864*i + 0 - 3/2*i**4 = 0. Calculate i.
-24, -1, 0
Solve -110*r**3 + 30*r**2 - 10297*r**4 - 53 - 23*r + 5164*r**4 - 19 + 135*r + 5175*r**4 - 2*r**5 = 0.
-1, 1, 2, 18
Suppose -86*p**4 - 42911*p - 2507*p**2 + 22090 - 16049*p**5 + 21975*p**2 + 690*p**3 + 16050*p**5 + 748*p**3 = 0. Calculate p.
-10, 1, 47
Let s = -17/7761 - 1745069/527748. Let h = s + 69/17. Factor 21/4*u + h*u**2 + 9/2.
3*(u + 1)*(u + 6)/4
Suppose 0 = 21*r - 2261 + 2198. Let f(j) be the first derivative of -4/5*j**5 + 0*j**2 + 8 - 8/3*j**3 - r*j**4 + 0*j. Factor f(g).
-4*g**2*(g + 1)*(g + 2)
Suppose 589*w - 830*w + 4 - 4 = 0. Suppose 1/4*k**4 + w*k + 1/8*k**3 + 1/8*k**5 + 0 + 0*k**2 = 0. What is k?
-1, 0
Let y(w) = w**3 + 26*w**2 + 167*w + 138. Let k(n) = 2*n**3 + 50*n**2 + 334*n +