- 32/3*k**3 - 21 - 64*k - k**4. Suppose l(r) = 0. What is r?
-4, -2
Suppose 112*l - 223/2*l**2 + 1/8*l**4 + 0 + 55/2*l**3 = 0. What is l?
-224, 0, 2
Let m(h) = 2*h**3 + 21*h**2 + 110*h + 155. Let k(v) = 118 - 165*v - 350 + 3*v**2 - 35*v**2 - 3*v**3. Let f(b) = 5*k(b) + 7*m(b). Determine g so that f(g) = 0.
-5, -3
Let v(r) be the second derivative of -r**4/48 - 11*r**3/2 + 70*r. Factor v(s).
-s*(s + 132)/4
Let j(i) = -15*i**2 - 957*i + 12. Let v(r) = 4*r**2 - 5*r**2 + 2*r**2 - 7*r**2 + 2 - 383*r + 3. Let q(d) = -5*j(d) + 12*v(d). What is k in q(k) = 0?
-63, 0
Determine g, given that -2211125*g + 6650*g**2 - 76 + 56 + 20 - 5*g**3 = 0.
0, 665
Let j be ((-3)/36)/((-6)/(-596)). Let d = -16/9 - j. Factor -3*x**3 - d*x**2 - 2 - 1/2*x**4 - 6*x.
-(x + 1)**2*(x + 2)**2/2
Let t(i) be the third derivative of -i**7/42 + 79*i**6/24 + 41*i**5/2 + 5*i**4/6 - 820*i**3/3 + 2*i**2 + 11951*i. Let t(u) = 0. Calculate u.
-2, 1, 82
Let b be (-32)/2 - (-35 + 35 - 20). Factor -5/2*n**2 + 6 - 1/2*n**3 + b*n.
-(n - 2)*(n + 1)*(n + 6)/2
Let d(t) be the second derivative of -t**6/30 - 13*t**5/5 - 24*t**4 - 280*t**3/3 - 184*t**2 - 2*t + 183. Solve d(f) = 0.
-46, -2
Factor 56*i + 120*i**2 - 10*i**3 - 2*i**4 - 312*i + 176 + i**4 - 6*i**3.
-(i - 2)**3*(i + 22)
Suppose 4*n = -2*k, 3*n + 10 = 20*k + 10. Find w, given that 8/3*w + n - 2/3*w**4 - 2/3*w**3 + 8/3*w**2 = 0.
-2, -1, 0, 2
Let w(s) = s**3 - 16*s**2 - 188*s + 35. Let k be w(-8). Let m(b) be the first derivative of 0*b - 1/3*b**k + 7/2*b**2 - 27. Factor m(p).
-p*(p - 7)
Let i be (-4)/7*39/(-52). Let h = 15/14 + i. Suppose -6 - 6*r - h*r**2 = 0. Calculate r.
-2
Let k = -11494/13 + 126460/143. Factor -k*y**2 + 0 - 4/11*y.
-2*y*(y + 2)/11
Let g(k) = 28*k**2 - 30*k - 3. Let l(m) = m**2 - 1. Let s(u) = -22*u**2 + 30*u - 2. Let a(z) = -5*l(z) + s(z). Let v(d) = 5*a(d) + 6*g(d). Factor v(p).
3*(p - 1)*(11*p + 1)
Let r be 144/2100*1725/69. Solve -108/7*k - 88/7*k**3 + 152/7*k**2 + 4 + 4/7*k**5 + r*k**4 = 0 for k.
-7, 1
Let l(n) = n**2 - 575*n + 4095. Let i(o) = 3*o**2 - 1105*o + 8189. Let r(s) = 5*i(s) - 11*l(s). Let r(a) = 0. What is a?
-205, 5
Let i(c) be the first derivative of 5*c**4/36 - 5*c**3/3 - 107*c - 278. Let g(p) be the first derivative of i(p). Factor g(t).
5*t*(t - 6)/3
Let r(o) be the second derivative of 3/2*o**2 - 4 + 1/28*o**4 + 4/7*o**3 - 6*o. Solve r(v) = 0.
-7, -1
Let s(u) = -283*u - 543. Let l be s(-6). Let z = l + -2307/2. Let z*i**2 + 3/2 - 11/4*i - 1/4*i**3 = 0. What is i?
1, 2, 3
Let b(u) = 325*u - 5. Let o be b(-2). Let x = 658 + o. Suppose 13/3*l - 2 - 1/3*l**x + 1/3*l**4 - 7/3*l**2 = 0. Calculate l.
-3, 1, 2
Suppose -411*g - 1430 - 766 + 336 = -1341*g. Factor 5/3*l + 2/3*l**g - 1/3*l**5 - 4/3*l**4 + 2/3 - 4/3*l**3.
-(l - 1)*(l + 1)**3*(l + 2)/3
Let q(w) = 4*w**2 + 32*w - 9. Let u be q(-8). Let v be 8/12*1 + (-4)/u. Factor -14/9*l - v*l**3 + 2/9 + 22/9*l**2.
-2*(l - 1)**2*(5*l - 1)/9
Determine p so that -276*p**3 + 0 + 0*p + 960/7*p**4 + 968/7*p**2 + 4/7*p**5 = 0.
-242, 0, 1
Let a = -119062/855 + 16058/95. Factor 0 + 2/9*l**3 + a*l**2 + 8978/9*l.
2*l*(l + 67)**2/9
Let d(i) = -i**3 + 12*i**2 + 6*i + 8. Let n be d(12). Suppose -n*v + 125*v**5 + 104*v**2 - 180*v**3 - 79*v**2 + 475*v**4 - 365*v**2 = 0. Calculate v.
-4, -2/5, 0, 1
Let v(q) = 6*q**2 - 224*q + 220. Let x(y) = 2*y**2 - y. Let o(a) = -v(a) + 2*x(a). Factor o(w).
-2*(w - 110)*(w - 1)
Let i(y) = -y**3 - 9*y**2 - 2*y + 17. Let o be i(-9). Suppose -2*p = 2*r - 336, -2*r - 5*p + o = -304. Factor -3*j**2 + 20 - 147*j + r*j + 8*j**2.
5*(j + 2)**2
Let s(y) be the third derivative of y**7/420 - 8*y**6/15 + 231*y**5/5 - 1764*y**4 + 12348*y**3 - 1894*y**2. Factor s(c).
(c - 42)**3*(c - 2)/2
Suppose -177*i = -195*i - 108. Let p be 8/16*i/(-6). Find g such that 1/2 - 3/4*g**3 + 7/4*g + p*g**2 = 0.
-1, -1/3, 2
Determine u, given that 421*u**2 + 20*u**5 - 592*u**4 + 77*u**3 + 4183*u**3 + 1379*u**2 = 0.
-2/5, 0, 15
Let -339*w - 177*w + 390*w**2 + 5*w**5 - 495*w**3 + 40*w**4 - 44*w - 1480*w**2 = 0. Calculate w.
-14, -1, 0, 8
Let x(m) be the first derivative of 0*m - 2/17*m**5 + 2/17*m**4 + 0*m**2 - 154 + 2/51*m**6 - 2/51*m**3. Factor x(y).
2*y**2*(y - 1)**2*(2*y - 1)/17
Let z = 9719/2 - 4965. Let q = z + 106. Find u such that 1/6 - 7/6*u**3 - 1/6*u**2 + 2/3*u**5 + q*u + 0*u**4 = 0.
-1, -1/2, 1
Suppose -96/13*l + 14/13*l**3 - 2/13*l**5 - 16/13*l**4 + 100/13*l**2 + 0 = 0. Calculate l.
-8, -3, 0, 1, 2
Let t(i) be the first derivative of 7*i**5/20 + i**4/4 - 46*i**2 + 43. Let n(j) be the second derivative of t(j). Factor n(q).
3*q*(7*q + 2)
Let p(n) = -128*n**2 + 16*n + 39*n - 305*n**3 + 353*n**2. Let z(o) = 38*o**3 - 28*o**2 - 7*o. Let t(r) = -3*p(r) - 25*z(r). Factor t(w).
-5*w*(w - 1)*(7*w + 2)
Let w(c) = 2*c**3 + c**2 + 5*c - 6. Let a be w(2). Factor 21*n**2 + 54*n - 19 - 9*n**3 + a + 19.
-3*(n - 4)*(n + 1)*(3*n + 2)
Let t(x) = x - 5. Suppose -22*k = -24*k + 18. Let h be t(k). Solve 2*p**3 - h - 4*p**2 + 4*p**2 - 6*p = 0 for p.
-1, 2
Let t(x) = 2*x**2 + 5*x - 9. Suppose 10*i + 8 = -32. Let q be t(i). Factor -60*s + 0*s**4 + 66*s - 6*s**3 - 3 + q*s**4.
3*(s - 1)**3*(s + 1)
Factor 4/7*c**2 + 348/7 + 352/7*c.
4*(c + 1)*(c + 87)/7
Let o(t) be the second derivative of 0*t**2 - 36/5*t**5 + 0*t**3 + 190*t - 7/15*t**6 + 0 - 10/3*t**4. Find g such that o(g) = 0.
-10, -2/7, 0
Let q(f) be the first derivative of 1/3*f**2 + 0*f - 80 + 2/27*f**3. Factor q(t).
2*t*(t + 3)/9
Suppose 0 = 2*i - 0 - 10. Let d be (536/20)/(2/i). Determine o, given that d + 67 + 5*o**2 - 9 + 30*o + 20*o = 0.
-5
Let i(k) be the first derivative of -2*k**5/5 + 13*k**4/2 - 80*k**3/3 + 36*k**2 + 34. Factor i(b).
-2*b*(b - 9)*(b - 2)**2
Let q(y) be the third derivative of -y**6/780 - 3*y**5/13 - 161*y**4/13 + 4232*y**3/39 - 8*y**2 + 38. What is r in q(r) = 0?
-46, 2
Let q(c) be the second derivative of 24*c**2 + 34*c - 28/3*c**3 + 1/4*c**4 - 1/30*c**6 + 1 + 3/10*c**5. Find l such that q(l) = 0.
-3, 1, 4
Let k(o) be the first derivative of o**8/5880 + o**7/980 + o**6/630 - 6*o**3 - 40. Let v(b) be the third derivative of k(b). Factor v(n).
2*n**2*(n + 1)*(n + 2)/7
Factor -1120/3 - 2/3*y**2 + 32*y.
-2*(y - 28)*(y - 20)/3
Let i(h) be the second derivative of -h**9/252 - 2*h**8/105 - 19*h**7/630 - h**6/90 - 85*h**4/12 + 283*h. Let y(b) be the third derivative of i(b). Factor y(o).
-4*o*(o + 1)**2*(15*o + 2)
Suppose 295*n - 186 = 233*n. Let x(w) be the first derivative of 2/3*w - 1/12*w**4 - 2/9*w**n - 5 + 1/6*w**2. Factor x(g).
-(g - 1)*(g + 1)*(g + 2)/3
Factor -4048/7*j + 0 + 2/7*j**2.
2*j*(j - 2024)/7
Let d(m) be the first derivative of 108*m - m**3 + 27/2*m**2 - 263. Solve d(u) = 0 for u.
-3, 12
Suppose 125 = 171*t - 608 + 49. Let g(z) be the second derivative of -5*z**2 + 5*z + 0*z**t + 1/4*z**5 - 5/2*z**3 + 0. Factor g(n).
5*(n - 2)*(n + 1)**2
Let g = -9 + 26. Let d = g + -10. Let -4*y**4 - 2*y**5 + d*y**2 + 2*y**2 - 5*y**2 + 2*y**3 = 0. Calculate y.
-2, -1, 0, 1
Suppose -3643 = -636*y - 2371. Factor 19/3*t**y + 0 + 1/3*t**4 - 3*t - 11/3*t**3.
t*(t - 9)*(t - 1)**2/3
Let v be (12/144*-15 + (-25)/(-20))/3. Let r(b) be the third derivative of -26*b**2 + v - 1/30*b**5 + 0*b**3 - 1/4*b**4 - 2*b. Factor r(j).
-2*j*(j + 3)
Let c(s) be the third derivative of -s**8/84 + 22*s**7/105 - 7*s**6/30 - 31*s**5/15 + 4*s**4/3 + 40*s**3/3 - s**2 + 325*s. Let c(x) = 0. Calculate x.
-1, 1, 2, 10
Let x(k) = 29*k**3 - 1312*k**2 - 1635*k - 244. Let o(f) = 114*f**3 - 5247*f**2 - 6561*f - 975. Let l(w) = -2*o(w) + 9*x(w). Factor l(d).
3*(d - 41)*(d + 1)*(11*d + 2)
Suppose 0 - 38/3*l + 2/9*l**2 = 0. Calculate l.
0, 57
What is t in 7930*t - 248 + 2*t**2 + 7864*t - 16040*t = 0?
-1, 124
Let h = 50622 - 50620. Factor 79/6*a - 9/2*a**h - 2/3*a**3 - 3.
-(a - 2)*(a + 9)*(4*a - 1)/6
Let a = 569 - 574. Let l be (-176)/(-80) - (-1)/a. Factor -2/15 - 2/15*f + 2/15*f**l + 2/15*f**3.
2*(f - 1)*(f + 1)**2/15
Let b(d) be the third derivative of -d**8/1008 - d**7/105 - 13*d**6/360 - d**5/15 - d**4/18 + 308*d**2 - 14*d. Factor b(a).
-a*(a + 1)**2*(a + 2)**2/3
Let b be 0 - (2 - 6/(-4)*220/(-33)). Suppose 0 = -5*g - 0*c + 4*c - 2, -2*g - 5*c + 19 = 0. Factor -g*v**3 + 33/5*v**2 - b*v + 16/5 + 1/5*v**4.
(v - 4)**2*(v - 1)**2/5
Let s be 0/(104/(-78)*(-6)/(-4)). Determine v so that 4/3*v**5 - 4/3*v**3 + s*v + 0 - 1/3*v**4 + 1/3*v**2 = 0.
-1, 