he first derivative of u(c). What is l in z(l) = 0?
-4
Let l = -1665157/44 + 151383/4. Find r, given that -8/11*r**5 + 2/11*r**4 - 104/11*r + l*r**2 + 72/11*r**3 + 24/11 = 0.
-2, 1/4, 1, 3
Determine i so that 8*i**4 + 3238*i**3 + 17977939 + 23469618*i**2 + 5525264 + 13550*i**3 - 46989612*i - 5*i**4 = 0.
-2799, 1
Determine c, given that 8/3*c**4 - 71*c**2 + 208/3*c + 80 - 1/2*c**5 + 19/2*c**3 = 0.
-5, -2/3, 3, 4
Let v(i) = 37*i**2 - 413*i + 409. Let k(h) = -7*h**2 + 83*h - 82. Let d(z) = -11*k(z) - 2*v(z). Factor d(n).
3*(n - 28)*(n - 1)
Factor -2/9*k**2 - 184/9*k + 256/3.
-2*(k - 4)*(k + 96)/9
Let x(o) be the third derivative of o**8/392 - 97*o**7/735 - 11*o**6/70 - 728*o**2. Factor x(r).
2*r**3*(r - 33)*(3*r + 2)/7
Let i(c) be the third derivative of c**8/3920 + c**7/980 - c**6/280 - 45*c**3/2 + 47*c**2. Let r(z) be the first derivative of i(z). What is p in r(p) = 0?
-3, 0, 1
Let b(i) be the first derivative of 18*i - 1/2*i**6 + 0*i**4 + 103 - 10*i**3 + 3/2*i**2 + 12/5*i**5. Determine q, given that b(q) = 0.
-1, 1, 2, 3
Let n be (0/(-10))/((-54)/96*-6 - (-18)/(-48)). Let -16*i**4 + n - 36*i**3 - 5/2*i**5 - 8*i - 32*i**2 = 0. What is i?
-2, -2/5, 0
Find i such that 16/15*i - 2/15*i**2 + 6/5 = 0.
-1, 9
Let r(s) be the first derivative of -s**7/210 + s**6/40 - s**5/20 + s**4/24 - 9*s**2 + 89. Let y(l) be the second derivative of r(l). Factor y(k).
-k*(k - 1)**3
Let l be (1512/60 + -25)/(2 - 0). Let k(b) be the second derivative of -5*b + 0*b**3 - 4*b**2 + 0 + l*b**5 + 1/2*b**4. Factor k(f).
2*(f - 1)*(f + 2)**2
Let h(i) be the first derivative of i**5/30 - 11*i**4/6 - 32*i**3/3 - 3372. Find t such that h(t) = 0.
-4, 0, 48
Let h(p) be the third derivative of p**6/600 + 11*p**5/150 + 59*p**4/120 + 19*p**3/15 + 4297*p**2 + p. Factor h(n).
(n + 1)*(n + 2)*(n + 19)/5
Let f = 9995 - 9987. Let l(v) be the first derivative of 0*v + 1/3*v**6 + 0*v**2 - f - 3/2*v**4 + 4/3*v**3 + 0*v**5. Let l(m) = 0. Calculate m.
-2, 0, 1
Determine f, given that 343/2*f + 65/2*f**3 - 69 - 271/2*f**2 + 1/2*f**4 = 0.
-69, 1, 2
Let c be 5 + 0 + 1 - 3. Factor -2*n**2 - 1377*n**3 + 1375*n**c + 2*n**4 + 2*n**5 + 0*n**4.
2*n**2*(n - 1)*(n + 1)**2
Let g(v) be the second derivative of 2*v**3 + 1/56*v**7 + 7/40*v**6 - 1 + 25/16*v**4 + 3/2*v**2 + 57/80*v**5 - 5*v. Solve g(j) = 0 for j.
-2, -1
Solve 3*z**2 + z**4 - 5*z**3 - 15*z**3 + 3*z**2 + 12*z**3 + 8*z - 7 = 0 for z.
-1, 1, 7
Suppose 2*w - 6 = -b, -3*w = -5*b - 34 + 38. Let x(m) be the first derivative of -2/21*m**3 + 0*m - 8 + 0*m**b. Factor x(v).
-2*v**2/7
Let z(o) be the second derivative of 8*o**6/15 - 477*o**5/5 - 361*o**4/3 + 80*o**3 + 1576*o. Suppose z(v) = 0. Calculate v.
-1, 0, 1/4, 120
Let f(u) be the third derivative of u**8/1344 - u**7/504 - u**4/6 + 13*u**3/6 + 21*u**2 + 2. Let h(v) be the second derivative of f(v). Factor h(d).
5*d**2*(d - 1)
Let b = -170 + 258. Let a be (-242)/b*(-4)/22. Suppose w - a*w**2 + 3/2 = 0. What is w?
-1, 3
Let o = -1107/2 - -5537/10. Let a(q) be the second derivative of 0 + 0*q**2 + 1/70*q**7 + 7/20*q**4 + 23*q + o*q**3 + 1/10*q**6 + 27/100*q**5. Factor a(w).
3*w*(w + 1)**3*(w + 2)/5
Let x = -629111 - -629114. Factor 130/3*s - 58/9*s**2 + 2/9*s**x + 50.
2*(s - 15)**2*(s + 1)/9
Suppose -57222/7 + 7446/7*h + 2/7*h**3 - 226/7*h**2 = 0. Calculate h.
11, 51
Let k(p) = -3868*p**4 + 1574*p**3 + 4*p**2 + 16*p - 32. Let d(t) = 1290*t**4 - 525*t**3 - t**2 - 5*t + 10. Let u(j) = 16*d(j) + 5*k(j). Factor u(q).
2*q**2*(5*q - 2)*(130*q - 1)
Let c(n) be the second derivative of n**7/77 - 31*n**6/165 - 161*n**5/110 + 29*n**4/22 + 158*n**3/33 - 56*n**2/11 + 2*n + 185. Let c(i) = 0. Calculate i.
-4, -1, 1/3, 1, 14
Let d(t) be the first derivative of -1/15*t**5 + 4/9*t**3 - 62 - 1/6*t**4 + 4/3*t**2 + 0*t. Solve d(o) = 0 for o.
-2, 0, 2
Let o be 42 - (4/(-34) - (-648)/306). Let m be 145/o - 9/(-24). Find t such that 3/7*t**m - 9/7*t - 15/7*t**2 - 3/7*t**3 + 0 = 0.
-1, 0, 3
Let q be 90/1575 + 194*(-1)/(-280). Factor q*c**3 + 4*c**2 + 0 + 5/4*c.
c*(c + 5)*(3*c + 1)/4
Let g(z) be the second derivative of -159/4*z**4 + 46*z**3 + 8/5*z**6 + 19*z - 54/5*z**5 - 2 - 18*z**2. Factor g(m).
3*(m - 6)*(m + 2)*(4*m - 1)**2
Let y(u) = -25*u**4 + 95*u**3 - 76*u**2 - 180*u - 8. Let h(j) = -105*j**4 + 380*j**3 - 303*j**2 - 720*j - 34. Let f(v) = -4*h(v) + 17*y(v). Factor f(n).
-5*n*(n - 18)*(n - 2)*(n + 1)
Let a be (0*(-7)/49)/(-1*1). Suppose a = -4*f - 4, 4*s - 5*f = 9*s - 20. Factor -30*y**2 - s*y**3 + 2 - 102*y + 42*y - 42.
-5*(y + 2)**3
Let z(o) be the second derivative of -o**7/2520 + o**6/120 - 32*o**4/3 + o + 13. Let b(x) be the third derivative of z(x). Factor b(i).
-i*(i - 6)
Let s(r) be the first derivative of -r**7/20 + 27*r**6/40 + 2*r**5/5 - r**2 + 20*r - 190. Let b(t) be the second derivative of s(t). Factor b(g).
-3*g**2*(g - 8)*(7*g + 2)/2
Let p be (1696/(-112) + -10)/((-4)/42) + (-6 - 3). Factor -3 - 21675/4*i**2 + p*i.
-3*(85*i - 2)**2/4
Suppose 3*o - 85 = -5*p, 18*o - 80 = -5*p + 16*o. Suppose 5*q = u - 12, q - 4 = 4*u - p. Factor 7 + 1/7*n**u + 2*n.
(n + 7)**2/7
Factor 57/8*v**2 + 63/8 - 123/8*v + 3/8*v**3.
3*(v - 1)**2*(v + 21)/8
Let z(q) be the third derivative of 1/195*q**5 + 0 + 0*q + 10/39*q**3 - 1/780*q**6 + 75*q**2 + 1/12*q**4. Suppose z(c) = 0. Calculate c.
-2, -1, 5
Suppose 0 = 3*p + 5*v - 964, 2*v = p - 440 + 104. Let d = p + -324. Factor -11*g**2 + 40/3*g + 10/3*g**3 - 16/3 - 1/3*g**d.
-(g - 4)**2*(g - 1)**2/3
Let r be 1143/762 + (-55)/34 - 254/(-136). Solve r*k - 15/4*k**2 - 5/4*k**3 - 1/2*k**5 + 9/4*k**4 + 3/2 = 0 for k.
-1, -1/2, 1, 2, 3
Let -31*j**2 + 1187 - 986*j + 20*j**2 - 1316*j + 345 + 17*j**2 = 0. Calculate j.
2/3, 383
Let z(t) be the first derivative of -t**4/16 + 23*t**3/4 - 153*t**2 + 289*t + 3191. Find a, given that z(a) = 0.
1, 34
Let b be (1 - 0)*27/9. Factor 28*x + 2*x**4 - 10 - 24*x**2 - 66*x**3 + 23*x**3 + 28*x**b + 19*x**3.
2*(x - 1)**3*(x + 5)
Let l(h) be the second derivative of h**5/70 - 2*h**4 - 37*h**3/3 - 174*h**2/7 + h - 4446. What is v in l(v) = 0?
-2, -1, 87
Let l(o) be the first derivative of 195 + 44/27*o**3 + 16/3*o + 47/9*o**2 - 1/18*o**4. Solve l(r) = 0 for r.
-1, 24
Let s be (-424)/10*1265/(-1540). Let a = 177/5 - s. Factor -4/7*v + a - 2/7*v**3 - v**2.
-(v + 2)**2*(2*v - 1)/7
Suppose 58*b - 55*b - 180 = 0. Let j be 68/80 + b/(-100). Find o, given that 42*o - 25/4*o**2 + j*o**3 - 36 = 0.
1, 12
Find y such that 240/7*y**2 + 0*y - 10/7*y**5 - 8*y**3 - 108/7*y**4 + 0 = 0.
-10, -2, 0, 6/5
Let b(i) be the third derivative of i**8/10080 - i**7/1260 - i**6/2160 + i**5/180 + 20*i**3/3 - i**2 - 8. Let c(w) be the first derivative of b(w). Factor c(t).
t*(t - 4)*(t - 1)*(t + 1)/6
Let p(k) = k**2 + 12*k - 255. Let h be p(8). Let g be (-10)/h - ((-1376)/646 + 2). Factor 2/17*c**3 - 2/17*c - 4/17*c**2 + g.
2*(c - 2)*(c - 1)*(c + 1)/17
Suppose -540 + 820/3*c + 805/3*c**2 - 5/3*c**3 = 0. What is c?
-2, 1, 162
Let d(h) be the first derivative of 2*h**5/5 + 81*h**4/2 - 166*h**3/3 - 81*h**2 + 164*h + 821. Factor d(w).
2*(w - 1)**2*(w + 1)*(w + 82)
Let q(j) be the first derivative of -3*j**5/10 + 19*j**4 + 79*j**3/9 - 64*j**2/3 + 17*j/2 - 763. Determine a so that q(a) = 0.
-1, 1/3, 51
Let f(j) be the third derivative of j**6/120 - 71*j**5/15 + 6815*j**4/8 - 6627*j**3 - 18*j**2 + 47*j - 1. Suppose f(r) = 0. Calculate r.
2, 141
Suppose -20*j + 23*j = 9, 4*f + 11*j = 45. Let t(w) be the second derivative of 0*w**f - 1/10*w**5 - 1/3*w**4 + 0 + 0*w**2 - 3*w. Determine v so that t(v) = 0.
-2, 0
Let q(c) = 6*c**3 - 80*c**2 - 440*c + 604*c + 4 + 636*c. Let z(g) = 5*g**3 - 80*g**2 + 800*g + 3. Let v(d) = 3*q(d) - 4*z(d). Factor v(n).
-2*n*(n - 20)**2
Let t be 2/40*1 - 9131/(-7940). Factor 3/5*w**2 + 0 + t*w - 6/5*w**3 - 3/5*w**4.
-3*w*(w - 1)*(w + 1)*(w + 2)/5
Let g = 61 + -58. Let h = g - 1. Solve 2*m + 2*m**h + 2*m + 12 - 5 - 5 = 0.
-1
Let a(n) be the second derivative of 1/45*n**6 + 5324/3*n**2 - 2783/9*n**3 - 9 - 37/30*n**5 + 15*n + 55/2*n**4. Suppose a(j) = 0. Calculate j.
4, 11
Let l(k) = 20*k + 244. Let i be l(-12). Suppose -218 + i*p**2 + 60*p + 60 + 22 = 0. What is p?
-17, 2
Let n(c) = c**3 - 17*c**2 + 17*c - 14. Let b be n(16). Determine i so that -16*i**2 - 3*i**3 - 6 + 2*i**b - 2 - 20*i = 0.
-2, -2/3
Let m be (17/51*(4232 + 2 + -2))/(70/30). Suppose m + 2/7*t**2 + 184/