. Solve d(l) = 0 for l.
4/19
Suppose -1/3*v**4 + 8 - 4/3*v**3 + 46/3*v + 19/3*v**2 = 0. What is v?
-6, -1, 4
Let o(g) be the second derivative of -76*g - 27/8*g**4 + 1 - 3/2*g**3 - 1/4*g**2. Factor o(n).
-(9*n + 1)**2/2
Let x(q) be the third derivative of -1/27*q**3 + 3*q**2 + 0*q - 8/9*q**4 + 97/270*q**5 + 4. Determine d so that x(d) = 0.
-1/97, 1
Let h = 666078 - 666075. Suppose -471/4*l**3 - 5529/4*l - 1083/4 - h*l**4 - 4905/4*l**2 = 0. Calculate l.
-19, -1, -1/4
Let m = 72837/35 - 2081. Let v(i) be the first derivative of m*i**5 + 2/7*i**2 + 2/7*i**4 + 0*i + 10/21*i**3 + 2. What is p in v(p) = 0?
-2, -1, 0
Factor -8/9 + 4/3*c**2 - 46/9*c.
2*(c - 4)*(6*c + 1)/9
Let n(m) be the second derivative of 16/7*m**7 + 47*m - 56/5*m**6 - 7/2*m**3 + 33/2*m**5 + 0 - 25/4*m**4 + 3*m**2. Let n(d) = 0. Calculate d.
-1/4, 1/4, 1/2, 1, 2
Let m(j) be the third derivative of 2/7*j**3 - 1/420*j**5 + 0 + j - 1/42*j**4 + 64*j**2. Solve m(y) = 0.
-6, 2
Let b = -192247 + 192250. Suppose 22*g - 32/7*g**2 + 2/7*g**b - 28 = 0. What is g?
2, 7
Let p(b) be the first derivative of -b**4 - 20*b**3 + 2000*b + 2055. Find t such that p(t) = 0.
-10, 5
Suppose -5*n = -192*g + 195*g - 70, 3*n = 5*g - 26. Factor -8/3*l**4 + 3*l + 22/3*l**3 + 1/3*l**5 - n*l**2 + 0.
l*(l - 3)**2*(l - 1)**2/3
Let u(r) be the first derivative of 5*r**6/6 + 16*r**5 + 385*r**4/4 + 670*r**3/3 + 180*r**2 - 8267. Find p, given that u(p) = 0.
-9, -4, -2, -1, 0
Let g = 898 - 898. Let j(w) be the first derivative of -8 - 8*w**4 + g*w**2 - 2/3*w**6 + 4*w**5 + 0*w + 16/3*w**3. Find a such that j(a) = 0.
0, 1, 2
Suppose 105*r - 637*r**2 + 746*r**2 + 35469*r**3 - 35465*r**3 = 0. What is r?
-105/4, -1, 0
Let s(v) = 2*v**2 + 8*v. Let w(b) = 7*b**2 + 158*b + 387. Let u(p) = -4*s(p) + w(p). Factor u(q).
-(q - 129)*(q + 3)
Let i be 2/3 - (4 - (-232)/(-12)). Suppose 6*k - 2 = i. Factor -4*d**5 + 8*d**3 + 3 - 3 - k*d - d.
-4*d*(d - 1)**2*(d + 1)**2
Let l(h) be the third derivative of -1/120*h**5 - 29*h**2 + 1/420*h**7 + 2*h - 1/112*h**8 + 0*h**3 - 1/48*h**4 + 0 + 7/240*h**6. Suppose l(z) = 0. Calculate z.
-1, -1/3, 0, 1/2, 1
Let k(s) be the second derivative of -37*s**4/8 - 77*s**3/24 - s**2/8 + 2703*s. Factor k(g).
-(3*g + 1)*(74*g + 1)/4
Suppose -94*r = -122*r - 3584. Let j be (-6)/40*r/48. Factor 0*d**2 + 0 + 2/5*d**5 + 0*d + j*d**4 - 4/5*d**3.
2*d**3*(d - 1)*(d + 2)/5
Let u(p) be the third derivative of p**7/1890 - 11*p**6/90 + 13*p**5/18 - 137*p**4/12 + 171*p**2. Let l(d) be the second derivative of u(d). Factor l(o).
4*(o - 65)*(o - 1)/3
Suppose -440*y = 3*w - 437*y - 72, 5*y = 3*w + 8. Suppose -1394/7*z**2 + 5342/7*z**3 - 202*z**4 - 56 + w*z**5 - 320*z = 0. What is z?
-2/7, 1, 7
Let k(a) = 24*a**3 + 80*a**2 + 704*a + 1768. Let f(u) = -115*u**3 - 403*u**2 - 3519*u - 8839. Let j(o) = 4*f(o) + 19*k(o). Factor j(w).
-4*(w + 7)**2*(w + 9)
Suppose -6*m = -7*m + 5*h + 2, -10 = -5*m + 4*h. Factor -k**5 - 23*k**4 - 235*k**m - 4*k**5 + 234*k**2 - 3*k**5 - 13*k**3 - 3*k**5.
-k**2*(k + 1)**2*(11*k + 1)
Let v(q) be the third derivative of -573/2*q**5 - 983/3*q**6 - 36*q**3 + 0 - 4048/21*q**7 - 135*q**4 - 968/21*q**8 + 0*q - 109*q**2. Solve v(j) = 0 for j.
-3/4, -2/11
Let j(n) be the third derivative of -2/45*n**6 + 1/15*n**5 + 1/315*n**7 + 25/9*n**3 + 10/9*n**4 + 3*n**2 + 4 + 0*n. Factor j(p).
2*(p - 5)**2*(p + 1)**2/3
Suppose -12*y = 142 - 1054. Suppose -l - 2*k = -24, -2*k - k + y = 4*l. What is r in l*r - 20 - 20 + 40 - 20*r**2 + 8*r**3 - r**4 = 0?
0, 2, 4
Let u(z) be the second derivative of z**6/80 + 7*z**5/60 + 17*z**4/48 + z**3/2 + 27*z**2 + 2*z + 1. Let c(x) be the first derivative of u(x). Factor c(f).
(f + 1)*(f + 3)*(3*f + 2)/2
Suppose -457 + 474 = k. Factor -588 - 110*b - 59*b**2 - k + 54*b**2.
-5*(b + 11)**2
Factor -11385*g**2 - 7780*g - 4479*g**2 - 7896*g**2 - 16520*g - 4*g**4 + 537*g**3 + g**4.
-3*g*(g - 90)**2*(g + 1)
Factor 10 + 3*w**3 - 7875*w**2 + 7866*w**2 + 2.
3*(w - 2)**2*(w + 1)
Let s(y) = 7*y - y**3 - 2*y - 3*y + 2*y**2 + 4*y - 6. Let z be s(3). Find i, given that 4*i + 4*i**3 + 5*i + 4*i**z - 5*i - 2*i**4 - 10*i**2 = 0.
0, 1, 2
Let z = -496 + 1015/2. Let o = 165/14 - z. Factor -o*a**2 + 2/7*a + 0.
-2*a*(a - 1)/7
Let g be 5/(-6)*6 - 14/(-2). Factor 41*l**2 + 116*l**g + l**3 + l**3 + 35*l**2 + 2*l**3 + 2304*l.
4*l*(l + 24)**2
Let v(s) = -s**4 - 86*s**3 - 1933*s**2 - 3607*s - 1763. Let t(y) = 5*y + 1. Let a(d) = -t(d) + v(d). Determine x, given that a(x) = 0.
-42, -1
Let o(f) = -f + 6. Let d be o(-7). Suppose -d = -5*j + u, 0 = -j - 0*u - u - 1. Factor 3*p**j + 7 + 13 - p**2 + 14*p - 8.
2*(p + 1)*(p + 6)
Solve 1578/5*p - 3/5*p**2 + 0 = 0.
0, 526
Let o(z) be the second derivative of -z**5/40 + z**4/12 + 5*z**3/3 + 6*z**2 - 1040*z. Solve o(l) = 0 for l.
-2, 6
Let h be (-32 + 32)/(-9 + 5). Let z(v) be the second derivative of -1/84*v**4 + h - v + 0*v**2 - 1/42*v**3. Factor z(k).
-k*(k + 1)/7
Let w be 15/(-21) + 2 + (0 - 1). Let s = -8523 + 59663/7. Factor w*j + 12/7 - s*j**2.
-2*(j - 3)*(j + 2)/7
Let c(k) be the second derivative of 16*k**3 + 1/3*k**4 + 288*k**2 + k + 1. Solve c(i) = 0.
-12
Let t(n) = -n**2 + 228*n - 1758. Let a be t(8). Suppose -2/3*w**3 - 8/3*w + 0 - 8/3*w**a = 0. Calculate w.
-2, 0
Let d(w) be the third derivative of -w**8/20160 - 11*w**7/1260 - 121*w**6/180 + 91*w**5/60 - 3*w**2 - 12. Let i(k) be the third derivative of d(k). Factor i(l).
-(l + 22)**2
Let a(z) = z**2 + 2*z - 46. Let g be a(-8). Factor 11*w**g - 22*w**2 - 71*w - 59*w + 16*w**2 + 845.
5*(w - 13)**2
Let d(x) be the third derivative of -4/315*x**7 - 7*x**2 + 0*x**3 + 1/252*x**8 + 2/45*x**5 - 3*x - 1/18*x**4 + 0*x**6 + 0. Suppose d(r) = 0. Calculate r.
-1, 0, 1
Let y(v) be the third derivative of 0 - 1/126*v**4 - v - 2*v**2 - 1/2205*v**7 + 0*v**5 + 1/63*v**3 + 1/630*v**6. Suppose y(b) = 0. What is b?
-1, 1
Let r = 9 + -9. Let h(y) be the third derivative of -1/8*y**4 - 14*y**2 + r + 0*y + 1/60*y**5 + 1/3*y**3. Factor h(m).
(m - 2)*(m - 1)
Let l(t) be the first derivative of -40/3*t**3 + 1/2*t**4 + 19*t**2 - 169 + 0*t. Determine g, given that l(g) = 0.
0, 1, 19
Let f(w) = -8*w**2 - 3528*w - 3655. Let v(i) = 14*i**2 + 6170*i + 6396. Let s(b) = -16*f(b) - 9*v(b). Let s(p) = 0. Calculate p.
-458, -1
Factor -6*n**2 + 472*n + 21*n**2 - 27*n**2 - 48*n**2 - 4*n**3 - 168*n.
-4*n*(n - 4)*(n + 19)
Let p(j) be the first derivative of j**7/945 - j**6/540 - j**5/135 - 13*j**2/2 - 3*j + 38. Let t(k) be the second derivative of p(k). What is g in t(g) = 0?
-1, 0, 2
Let m(x) be the third derivative of 0 + 1/20*x**5 + 7/8*x**4 + 2*x**2 + 6*x**3 - 6*x. Suppose m(i) = 0. What is i?
-4, -3
Factor 117*s - 303/4*s**2 + 5/4*s**3 + 59.
(s - 59)*(s - 2)*(5*s + 2)/4
Let z be (0/(4/(-2)))/(-1). Let x = -61931 + 1052829/17. Determine t, given that z - 2/17*t**2 - x*t = 0.
-1, 0
Let l = 13 + -10. Let g be (2 + (-5)/10)*2. What is s in -12*s**2 + s**l - 2*s**3 - 64 + 7*s**g - 5*s**3 + 48*s = 0?
4
Let y be 37 - (-11 - (-6636)/140). Determine k so that 0*k + 6/5*k**4 - y*k**5 - 18/5*k**2 + 3*k**3 + 0 = 0.
-2, 0, 1, 3
Let p = -434 + 439. Let a(v) = -354 - 186*v + 3*v**2 - 3*v**2 - 3*v**2. Let i(z) = -z**2 - 53*z - 101. Let c(w) = p*a(w) - 18*i(w). What is s in c(s) = 0?
-4
Let m = -2852523/4 + 713131. Factor -625 - 25*g - m*g**2.
-(g + 50)**2/4
Let q be (14313/4404)/(26/4). Determine d, given that 4*d + q*d**4 + 1/2*d**3 - 5*d**2 + 0 = 0.
-4, 0, 1, 2
Let b(l) = -52*l**2 + 469*l - 6. Let d be b(9). Let p(w) be the first derivative of 0*w - 9/20*w**4 + 21 + 1/25*w**5 + 9/5*w**d - 27/10*w**2. Factor p(k).
k*(k - 3)**3/5
Let i(n) be the third derivative of n**8/1008 - n**7/14 + 17*n**6/36 - 25*n**5/18 + 55*n**4/24 - 41*n**3/18 - 24*n**2 - 9*n. Factor i(f).
(f - 41)*(f - 1)**4/3
Suppose 2*f - 5*f = -5*r - 31, 39 = 5*f - 2*r. Let o be -381*((6 - f) + (-2)/6). Factor o - 508 - 5*y**2 + 25*y.
-5*y*(y - 5)
Let r be 2/3150*25565 - 150/4725. Factor 3/5*p**3 - r - 27/5*p**2 + 81/5*p.
3*(p - 3)**3/5
Let j be ((-1 - -1)/8)/1. Let o(i) be the first derivative of 0*i**3 + 4/5*i**5 - 2/3*i**6 + 0*i**2 + j*i + 2*i**4 + 4. Solve o(m) = 0.
-1, 0, 2
Let s = -14628 + 14632. Let g(t) be the second derivative of 5/2*t**s - 1/20*t**5 + 500*t**2 - 50*t**3 + 0 + 25*t. Factor g(x).
-(x - 10)**3
Let n(z) be the first derivative of -z**4/10 - 662*z**3/15 + z**2/5 + 662*z/5 - 8155