- 2*t(g). Determine v so that s(v) = 0.
-18
Suppose -71 = -6*s - 53. Let m(y) = -4*y**2 + y + 74. Let z(a) = 4*a**2 - 72. Let c(j) = s*z(j) + 4*m(j). Factor c(o).
-4*(o - 5)*(o + 4)
Let c(u) be the second derivative of -u**7/98 + 4*u**6/35 + 51*u**5/70 - 2*u**4/7 - 33*u**3/14 + 9*u + 106. Determine q so that c(q) = 0.
-3, -1, 0, 1, 11
Let m(p) be the first derivative of -2*p**3/39 - 10*p**2/13 + 112*p/13 - 1189. Factor m(u).
-2*(u - 4)*(u + 14)/13
Factor 1952/5 + 2/5*v**2 + 496/5*v.
2*(v + 4)*(v + 244)/5
What is l in -4617 - 1296*l + 1/3*l**4 - 90*l**2 + 8/3*l**3 = 0?
-9, 19
Suppose -16*y - 28 = -20*y + 5*n, -y + 16 = n. Suppose 5*l + 4*r + y = 0, 9*l - 12 = 5*l + 4*r. What is s in 0 + 2/3*s**2 + l*s = 0?
0
Suppose 2*q + 2 = -3*u, 3 - 1 = 4*q + 3*u. Factor -464*c - 40*c**3 + 56*c**4 - 6*c**q + 468*c + 4*c**2.
2*c*(2*c - 1)**2*(7*c + 2)
Let v(o) be the second derivative of 5*o**7/42 + 5*o**6/6 + 3*o**5/2 - 5*o**4/6 - 35*o**3/6 - 15*o**2/2 + 146*o + 1. Let v(r) = 0. What is r?
-3, -1, 1
Let l = 47 + -35. Factor -26*d**3 - 2*d**2 - 10*d**2 + l*d**3 + 2*d**5.
2*d**2*(d - 3)*(d + 1)*(d + 2)
Let v(t) be the first derivative of -4*t**3/3 - 1196*t**2 + 74420*t - 157. Let j(d) = d**2 + 478*d - 14884. Let z(f) = -24*j(f) - 5*v(f). Factor z(s).
-4*(s - 61)**2
Suppose -1606*w**2 + 42*w**4 - 3*w**5 - 1605*w**2 + 3259*w**2 + 93*w**3 = 0. Calculate w.
-1, 0, 16
Let x = 338163/4 + -84537. Determine f so that -125/4 - x*f**2 + 75/4*f + 1/4*f**3 = 0.
5
Let v(l) be the second derivative of l**7/63 - l**6/15 - l**5/3 + 10*l**4/9 + 8*l**3/3 - 32*l**2/3 + 679*l. Suppose v(f) = 0. Calculate f.
-2, 1, 2, 4
Let l(d) be the third derivative of -d**6/120 - 5*d**5/4 - 181*d**4/8 - 469*d**3/6 - 4*d**2 + 2*d + 145. Factor l(g).
-(g + 1)*(g + 7)*(g + 67)
Let a(c) = -4*c**2 + 282*c - 23. Let g(u) = u**2 - 62*u + 6. Let b(o) = 4*a(o) + 18*g(o). Factor b(h).
2*(h + 2)*(h + 4)
Let o(u) be the second derivative of u**5/35 - 155*u**4/21 + 1738*u**3/3 - 1694*u**2 - 174*u. Factor o(h).
4*(h - 77)**2*(h - 1)/7
Suppose 565 = 2*m + 563, m = -2*a - m + 6. Find w such that 0*w**2 + 2/3*w**4 + 0 + 0*w - a*w**3 = 0.
0, 3
Let u(m) = m**4 + 87*m**2 + 2*m**4 - 2*m**4 - 85*m**2. Let x(w) = 6*w**4 - 12*w**3 + 32*w**2 - 20*w + 6. Let p(v) = 4*u(v) - x(v). Factor p(a).
-2*(a - 3)*(a - 1)**3
Let q be (920/150 - (-18)/(-3))/(-5 + 341/66). Factor 6/5*z**3 + 0*z + 2/5*z**4 + 0 + q*z**2.
2*z**2*(z + 1)*(z + 2)/5
Determine b so that 443/8 - 221/4*b - 1/8*b**2 = 0.
-443, 1
Factor w + 43 - 41 + 113 + 7*w + 205 - 4*w**2.
-4*(w - 10)*(w + 8)
Factor 3/4*h**2 - 21*h - 45.
3*(h - 30)*(h + 2)/4
Let j(w) be the first derivative of w**7/5040 + 7*w**6/2160 + w**5/72 - 61*w**3/3 - 64. Let i(p) be the third derivative of j(p). Factor i(n).
n*(n + 2)*(n + 5)/6
Let r(v) be the third derivative of v**7/525 - v**6/15 + 29*v**5/50 + 9*v**4/5 - 11985*v**2. Factor r(o).
2*o*(o - 12)*(o - 9)*(o + 1)/5
Let h(c) be the third derivative of 3*c**5/40 + 67*c**4/64 + c**3 + 866*c**2. Factor h(l).
3*(3*l + 16)*(4*l + 1)/8
Let b(m) be the second derivative of 3*m**5/100 - 13*m**4/10 + 44*m**3/5 + 2273*m. Factor b(f).
3*f*(f - 22)*(f - 4)/5
Let l be (-2604)/210 + (-3)/5 + 1 + 12. Factor -16/5*u + l - 4/5*u**2.
-4*u*(u + 4)/5
Suppose -4*k - 4*l + 12 = 0, -2*k - k = -3*l - 15. Find w, given that 14*w**3 - 2*w - 12*w**3 - w**2 + w**k + 0*w**2 = 0.
-2, -1, 0, 1
Let p(i) be the first derivative of -i**5/210 + 31*i**4/84 + 32*i**3/21 + 19*i**2/2 + i + 113. Let y(l) be the second derivative of p(l). Solve y(m) = 0 for m.
-1, 32
What is s in 135*s + 35/3*s**3 - 60 + 5/3*s**4 - 265/3*s**2 = 0?
-12, 1, 3
Let f(g) be the second derivative of 2*g**5/35 - 11*g**4/14 + 26*g**3/21 + 9*g**2 + 169*g. Solve f(n) = 0 for n.
-1, 9/4, 7
Factor -101 - 165*r**2 + 33*r**2 + 683*r**3 - 679*r**3 - 1168*r - 248*r**2 - 683.
4*(r - 98)*(r + 1)*(r + 2)
Let r be 6/12 + 3 + (-1)/2. Let -3 + 16*g - 8*g**2 + g**r - 3 - 7*g + 4*g = 0. Calculate g.
1, 6
Let p = -1224 + 1230. Suppose -2*k = p*j - 4*j - 2, -4*k + 5*j - 5 = 0. Find g such that -1/4*g**4 - 5/4*g**2 + k - g**3 - 1/2*g = 0.
-2, -1, 0
Let v(f) be the first derivative of f**5/30 + 13*f**4/12 + 22*f**3/3 - 31*f**2/2 + 98. Let l(w) be the second derivative of v(w). Factor l(p).
2*(p + 2)*(p + 11)
Factor -56*z**2 - 11734*z + 120 + 5924*z - 4*z**3 + 5878*z.
-4*(z - 2)*(z + 1)*(z + 15)
Let v = 3830 + -19142/5. Let g(y) be the first derivative of -4/5*y**2 + 6/25*y**5 + 2/5*y**4 - 14/15*y**3 - 11 + v*y. Let g(i) = 0. What is i?
-2, -1, 2/3, 1
Let c(s) be the second derivative of s**7/2100 + s**6/300 - 25*s**3/2 + 14*s - 1. Let a(m) be the second derivative of c(m). Suppose a(i) = 0. What is i?
-3, 0
Let m(s) be the first derivative of 0*s**2 + 4/3*s**4 - 28 + 2*s**3 + 17*s + 1/5*s**5. Let y(f) be the first derivative of m(f). Solve y(c) = 0.
-3, -1, 0
Suppose h - 4*x = -x + 141, 4*h + 4*x = 580. Suppose 15*b + b = h. Factor -19*m**2 + b*m + 36*m**2 - 14*m**2.
3*m*(m + 3)
Determine w so that -380*w**2 + 12329*w + 900*w**2 - 5*w**4 - 475*w**3 - 8549*w - 5760 = 0.
-96, -3, 2
Let n(h) be the first derivative of -9/16*h**2 + 0*h + 4 - 1/8*h**3. What is o in n(o) = 0?
-3, 0
Let h = 180916/9 + -180910/9. Factor 1/3*d**3 - 1/3*d + 2/3*d**2 - h.
(d - 1)*(d + 1)*(d + 2)/3
Let q(s) be the first derivative of 2*s**3/9 - 220*s**2/3 + 146*s - 2366. Solve q(u) = 0 for u.
1, 219
Let r(d) be the first derivative of 2*d**3/5 + 1573*d**2/5 + 1048*d/5 - 14999. Determine g, given that r(g) = 0.
-524, -1/3
Suppose -19*d = -24*d + 20. Factor 63*c**4 - 185*c**3 - 11*c**5 + 26*c**2 + 16*c**5 + 22*c**d + 69*c**2.
5*c**2*(c - 1)**2*(c + 19)
Suppose r - 671 = 4*h, 2*h = -h + r - 503. Let q be (6/4)/((-21)/h). What is t in 5*t**5 + t**4 + 3*t**4 + 15*t**2 + 35*t**3 + q*t**4 + 9*t**4 = 0?
-3, -1, 0
Factor 27*d**2 - 21*d**2 - d**2 + 143 - 38 + 110*d.
5*(d + 1)*(d + 21)
Let j(n) be the first derivative of n**6/18 + n**5/5 - n**4/4 - 7*n**3/9 + n**2 + 1511. What is d in j(d) = 0?
-3, -2, 0, 1
Let q(y) be the third derivative of 1/9*y**4 + 132*y**2 + 0*y + 2/315*y**7 + 1/252*y**8 - 1/30*y**6 - 1/45*y**5 + 0*y**3 + 0. Suppose q(b) = 0. Calculate b.
-2, -1, 0, 1
Solve -3*r**2 - 32*r - 49598 - 13*r + 49700 = 0 for r.
-17, 2
Determine k so that -1228/7 + 2/7*k**2 - 610/7*k = 0.
-2, 307
Let f(a) be the second derivative of 81*a**5/4 - 199*a**4/4 + 34*a**3 - 6*a**2 + 917*a. Factor f(m).
3*(m - 1)*(5*m - 2)*(27*m - 2)
Suppose -5*k = -9*n + 6*n + 212, 0 = -3*k + 6. Let x = 76 - n. Find t such that 0*t - 3/5 + 3/5*t**x = 0.
-1, 1
Let 2*y**4 + y**4 - 3*y**3 + 30121*y**2 - 29902*y**2 + 51*y**3 + 270*y = 0. Calculate y.
-9, -5, -2, 0
Let d(b) = 50*b**3 - 114*b**2 + 86*b + 11. Let l be (-7 + 4)/(9/6). Let o(h) = -10*h**3 + 23*h**2 - 17*h - 2. Let m(a) = l*d(a) - 11*o(a). Factor m(w).
5*w*(w - 1)*(2*w - 3)
Let b(f) be the first derivative of 0*f**2 - 10*f**4 + 0*f + 67 + 5*f**5 - 20/3*f**3. Let b(d) = 0. Calculate d.
-2/5, 0, 2
Suppose 0*z + 20 = 4*z. Suppose -3*m = 5*k - 19, -4*k + z*m - 1 = 2*m. Factor -24*u + 95*u**2 + 36 + 99*u**2 - 190*u**k.
4*(u - 3)**2
Let l = 776 + -720. Suppose -12*g + l = 2*g. Factor -6/5*q - 4/5*q**2 + 2/5*q**5 + 4/5*q**3 - 2/5 + 6/5*q**g.
2*(q - 1)*(q + 1)**4/5
Suppose 20 = -3*z + 2*j, 9 = -z - 4*j - 21. Let g = z - -13. Factor -2*y**2 + g*y**3 - y**2 + 2*y**2 + 7*y**2.
3*y**2*(y + 2)
Let t(v) be the first derivative of -v**4/14 + 38*v**3/21 + 172*v**2/7 + 520*v/7 + 4493. Factor t(g).
-2*(g - 26)*(g + 2)*(g + 5)/7
Suppose -7 = -5*f - 2*g, 0 = 3*f - 0*g - 2*g - 17. Factor -39*s**3 - 89*s**3 + 8*s**f + 3*s**4 + 1200*s**2.
3*s**2*(s - 20)**2
Find l such that -1/2*l**3 - 73*l + 147/2*l**2 + 0 = 0.
0, 1, 146
Let m(d) be the third derivative of -d**5/60 + 869*d**4/6 - 1510322*d**3/3 - 9*d**2 - 187. Let m(c) = 0. Calculate c.
1738
Let a be ((-2025)/(-63) + -32)/((-1)/(-1)). Factor -5/7*x + 6/7 + a*x**2.
(x - 3)*(x - 2)/7
Let y be (-9156)/16 - ((-7)/(-2))/7. Let h = 573 + y. Let 3/4*v**2 + h - 3/4*v - 1/4*v**3 = 0. Calculate v.
1
Let y = -461 + 466. Let c(n) be the first derivative of -15 - 2/35*n**y + 0*n**3 + 0*n**2 + 0*n**4 + 1/21*n**6 + 0*n. Solve c(a) = 0 for a.
0, 1
Let p(q) be the second derivative of -2 + 4/27*q**3 + 1/54*q**4 + 25*q - 5/9*q**2. Factor p(a).
2*(a - 1)*(a + 5)/9
Let b(r) be the second derivative of -r**5/20 - 7