hat is r in 235*r**2 + 29707271*r**3 + 3792*r - 29707313*r**3 + 46*r**2 + r**4 - 3059 - 973 = 0?
-7, 1, 24
Let m(d) be the third derivative of d**7/210 + d**6/45 + d**5/30 - 7*d**3 + 2*d**2 + 2*d. Let v(i) be the first derivative of m(i). Factor v(p).
4*p*(p + 1)**2
Let q(m) be the third derivative of m**8/168 - 3*m**7/56 + 5*m**6/36 - m**5/8 + 34*m**3/3 - 3*m**2 + 13. Let f(v) be the first derivative of q(v). Factor f(s).
5*s*(s - 3)*(s - 1)*(2*s - 1)
Let d(o) = -o**3 + 2*o**2 - 90*o + 279. Let g be d(3). Let f(x) be the third derivative of 1/24*x**5 + 0*x + g - 5/16*x**4 + 5/6*x**3 - 3*x**2. Factor f(y).
5*(y - 2)*(y - 1)/2
Let o(y) be the first derivative of -6*y**5/35 - 3*y**4/14 - 1414. Factor o(u).
-6*u**3*(u + 1)/7
Let q(f) = f**3 - 2*f**2 - 10*f - 5. Let r be q(5). Let p(l) = -l**3 + 22*l**2 - 44*l + 82. Let x be p(r). Let -3/8*i**x - 9/4*i - 15/8 = 0. What is i?
-5, -1
Let k(s) = s**3 - 3*s**2 - 9*s + 7. Let p be k(-3). Let g(v) = v**3 + v**2 - 3*v + 1. Let f(d) = 25*d**3 - 75*d + 110. Let t(r) = p*g(r) + f(r). Factor t(q).
5*(q - 3)**2*(q + 2)
Let q(f) = 4*f**3 + 15*f**2 - 51*f + 29. Let g(c) = 2*c**3 - c**2 - c - 1. Let m(i) = 2*i**2 + 6*i + 1. Let l be m(-3). Let u(t) = l*q(t) - 3*g(t). Factor u(a).
-2*(a - 4)**2*(a - 1)
Let d be 0*3*8/(-24). Let a(x) be the second derivative of -1/462*x**7 + d*x**2 - 1/66*x**4 + 0*x**5 + 1/165*x**6 + 1/66*x**3 + 0 + 30*x. Solve a(h) = 0.
-1, 0, 1
Let p(v) be the first derivative of v**3/7 - 27*v**2/7 + 243*v/7 + 3126. Factor p(c).
3*(c - 9)**2/7
Let n(k) be the third derivative of -5*k**6/56 + 186*k**5/7 + 4491*k**4/56 + 675*k**3/7 + 13779*k**2. Find b, given that n(b) = 0.
-3/5, 150
Suppose 4*v - 64 = -2*k, -53 = 5*k + 2*v - 221. Let r be k - -3*(-2)/(-6). Factor 91 + 33*i + 6*i**2 - r - 35 - 39.
3*(i + 6)*(2*i - 1)
Let o(v) = 9*v**3 + 19*v**2 + 24*v - 28. Let w(k) = 2*k**3 + 2*k**2 + k + 1. Let b(q) = 3*o(q) - 12*w(q). Suppose b(n) = 0. Calculate n.
-8, -4, 1
Factor -290 + 122*q**2 - 73*q**2 - 84*q**2 + 543*q + 482*q.
-5*(q - 29)*(7*q - 2)
Suppose r - 2 = -3*u, -u = -14*r + 9*r + 26. Let b = -6 - -14. Find m, given that -3*m**5 - b*m**4 - m**r - 16*m**3 - 4 - 8*m**2 - 4 + 20*m + 24*m**4 = 0.
-1, 1, 2
Suppose 3*b = 4*f - 12, 3*f - 5*b + 6 = 15. Factor -3*x**2 - 3*x**2 + 3*x**2 - 2*x + 21*x**f - 22*x**3.
-x*(x + 1)*(x + 2)
Let m(s) be the second derivative of -s**6/165 - 24*s**5/55 - 311*s**4/33 - 368*s**3/11 - 529*s**2/11 - 1986*s. Let m(q) = 0. Calculate q.
-23, -1
What is i in -3/7*i**4 - 18/7*i**3 - 3/7*i**2 + 60/7 + 72/7*i = 0?
-5, -2, -1, 2
Let c(x) be the first derivative of -x**6/90 - x**5/5 + x**3 - 61*x + 268. Let v(w) be the third derivative of c(w). Factor v(y).
-4*y*(y + 6)
Let r be (-1)/(-3) - (-496)/186. Factor -11 - 28*o**3 + 13*o**3 + 14*o**r - 6*o**2 + 6 + 37.
-(o - 2)*(o + 4)**2
Let r be (-55 - 5)/(-5) - 4. Suppose -2*d - d + 2 = -2*j, j = 5*d - r. Solve -94 - 8*u**j + 32 + 4*u**4 + 35 + 31 = 0 for u.
-1, 1
Let q = 466 - 461. Let m(d) be the first derivative of -9/5*d**q + 0*d**2 + 1/2*d**6 + 0*d + 16 + 9/4*d**4 - d**3. Find n, given that m(n) = 0.
0, 1
Let a = -1770/71 - -20484/497. Let 0 - a*c**2 + 36/7*c - 10/7*c**4 + 64/7*c**3 = 0. Calculate c.
0, 2/5, 3
Suppose -62 - 105 = -30*f - 17. Let i(l) be the first derivative of 1/2*l**6 - 6 + 3/4*l**4 + 0*l**2 - 6/5*l**f + 0*l + 0*l**3. Factor i(a).
3*a**3*(a - 1)**2
Let f(j) = -19*j**2 + 16*j - 31. Let h = 160 - 130. Let r(s) = 3*s**2 - s + 1. Let m(y) = h*r(y) + 5*f(y). Factor m(q).
-5*(q - 5)**2
Let g = 40 - 40. Suppose g*f + 15 = -3*f, -5*f = -b + 30. Find i such that 8*i**b - 16*i + 3*i**4 - 11*i**4 - 12*i**3 - 4*i**5 + 32*i**2 = 0.
-2, 0, 1, 2
Let r(b) be the first derivative of -3/5*b - 1/10*b**2 + 1/20*b**4 + 178 + 1/5*b**3. Factor r(n).
(n - 1)*(n + 1)*(n + 3)/5
Let h(n) be the third derivative of n**5/180 + 41*n**4/72 + 200*n**3/9 + 284*n**2 + 1. Find y such that h(y) = 0.
-25, -16
Let k = 316 + -332. Let j(x) = 116*x**2 - 128*x + 60. Let z(t) = 23*t**2 - 26*t + 12. Let d(m) = k*z(m) + 3*j(m). Suppose d(l) = 0. What is l?
3/5, 1
Solve -34841*m**3 - 423 - 41*m**2 - 597*m + 143*m**2 + 1233 + 34838*m**3 = 0 for m.
2, 5, 27
Let u be 1 + 1 + 0 + -96 + -265. Let a = 361 + u. Factor -2/5*s**a + 0 + 4/5*s - 4/5*s**3 + 2/5*s**4.
2*s*(s - 2)*(s - 1)*(s + 1)/5
Let o be 7 + 354/(-42) - -6*(-48)/(-182). Factor -2/13*c**3 + o*c + 20/13*c**2 - 20/13.
-2*(c - 10)*(c - 1)*(c + 1)/13
Let w = -661 + 662. Let u(t) = -t**5 + t**4 - t**3 - t + 1. Let i(s) = 3*s**4 + s**3 - 14*s**2 + 18*s - 7. Let f(q) = w*i(q) + u(q). Factor f(m).
-(m - 3)*(m - 1)**3*(m + 2)
Factor 334*s**3 + 189*s**2 + 899*s**2 - s**4 - 143*s**2 + 120*s**3 - 33*s**2.
-s**2*(s - 456)*(s + 2)
Let u be (7/(1008/2718) - 19) + 276482/16. Suppose -u - 5/4*p**3 - 90*p**2 - 2160*p = 0. What is p?
-24
Let i(d) be the third derivative of d**6/90 + 23*d**5/45 + 20*d**4/3 - 32*d**3 - 200*d**2 - 2*d. Let i(w) = 0. Calculate w.
-12, 1
Let d be (-10)/(120/42)*(5 + -1)/(28/(-8)). Determine n, given that -4/7*n**d + 4/7*n**2 - 12/7*n**3 + 0 + 12/7*n = 0.
-3, -1, 0, 1
Let c(a) be the second derivative of -a**4/18 + 961*a**3/27 - 320*a**2/9 + 187*a - 2. Solve c(q) = 0.
1/3, 320
Factor -1/4*m**3 - 21/4*m + 7/2*m**2 - 9.
-(m - 12)*(m - 3)*(m + 1)/4
Suppose 3218*w + 1106*w + 1084*w + 1162942 - 3*w**2 + 664962 + 7*w**2 = 0. What is w?
-676
Determine f, given that 3/5*f**4 + 12*f**3 - 624/5 - 432/5*f**2 + 912/5*f = 0.
-26, 2
Suppose -762*r + 757*r = -70. Let -2*f**5 + 5*f**2 - r*f**4 + 11*f**2 + 21 + 5*f**2 - 28*f**3 - 25*f**2 + 30*f - 3 = 0. Calculate f.
-3, -1, 1
Let l(z) = z**2 - z - 2. Let c(w) = 7*w - 57. Let v be c(8). Let g(p) = -20*p**2 - 48*p + 372. Let x(m) = v*g(m) - 24*l(m). Let x(t) = 0. What is t?
9
Determine r so that 14*r + 287*r + 135*r**2 + 22*r - 72*r**2 - 62*r**2 = 0.
-323, 0
Let b(n) be the third derivative of n**5/390 + 7*n**4/12 - 380*n**3/39 + 2*n**2 + 6*n - 301. Suppose b(g) = 0. What is g?
-95, 4
Let q be 8/(-3)*((-153)/6 + 24). Let f(i) be the first derivative of -3/4*i**q + i**3 + 33 + 3/2*i**2 - 3*i. Suppose f(g) = 0. What is g?
-1, 1
Suppose 0 = -4*d - 11*h + 64, -5*h - 8 = -28. Factor -95/3*g - d*g**2 - 10.
-5*(g + 6)*(3*g + 1)/3
Suppose 4*p = -3*d + 38, 59*p = 62*p + 4*d - 32. Suppose 3*j = -5*a - p, -5*j + 3*a = -j - 28. Factor -2/3 + 5/6*s**3 - 5/6*s + 1/6*s**j + 1/2*s**2.
(s - 1)*(s + 1)**2*(s + 4)/6
Let v(g) be the third derivative of -g**5/20 + 7*g**4/2 - 187*g**3/2 - 662*g**2. Suppose v(n) = 0. What is n?
11, 17
Let l(y) = 38*y**2 + 780*y - 2304. Let x(m) = -16*m**2 - 390*m + 1152. Let o(s) = 3*l(s) + 7*x(s). Let o(c) = 0. What is c?
3, 192
Let i be ((-1702)/6)/((-312)/(-1170)). Let g = i + 1064. Let -g*d**2 + 1/4 + 1/4*d - 1/4*d**3 = 0. What is d?
-1, 1
Let k(w) be the third derivative of 0*w**3 - 5*w**2 - 16/15*w**5 + 0*w - 6/35*w**7 - 4/5*w**6 + 6 + 0*w**4 - 1/84*w**8. Factor k(f).
-4*f**2*(f + 1)*(f + 4)**2
Suppose 13 = 2*y + 2*y + 3*d, -2 = 2*d. Suppose -3*l + 4 + 6 = -2*i, -5*i - 18 = -y*l. Factor 40*f**l + 35*f**2 + 16*f + 1 - 11*f**2.
(8*f + 1)**2
Let j(l) be the first derivative of -126 + 1058/9*l - 8/3*l**4 + 1244/27*l**3 + 2/45*l**5 - 368/3*l**2. Find r, given that j(r) = 0.
1, 23
Let u(r) = 10*r**2 + 6*r - 34. Let p(z) = -19*z**2 - 9*z + 69. Let s = -158 - -169. Let q(t) = s*u(t) + 6*p(t). Factor q(y).
-4*(y - 5)*(y + 2)
Let p be 72/180 - (6347/5 + -2). Let a be (362/p)/((-3)/7). Determine j, given that -a*j**2 + 16/15*j**4 - 2/5*j**3 + 0 + 4/15*j + 8/15*j**5 = 0.
-2, -1, 0, 1/2
Let l be (18/(-51))/3 - (-4692)/578. Determine a, given that 54*a**4 - 2*a**3 - 53*a**4 - 7*a**2 + 3*a**2 + l*a = 0.
-2, 0, 2
Let r = -9676/63 + 2151/14. Let b(l) be the second derivative of 25/3*l**2 + 0 + 26*l - 10/9*l**3 + r*l**4. Let b(i) = 0. Calculate i.
5
Let y(z) = z**2 + 1920*z - 13487. Let p be y(7). Determine x, given that 1/5*x**5 + 0*x**p + 2/5*x**3 + 0*x + 3/5*x**4 + 0 = 0.
-2, -1, 0
Let u(q) = -31*q + 159. Let o be u(5). Let x(w) = 19*w - 72. Let b be x(o). Find m, given that 3/2*m**3 + 0 + 0*m - 1/2*m**b - m**2 = 0.
0, 1, 2
Suppose -5*n = -4*g + 15, -15 = 3*n + 2*n. Suppose -6*s - s + 28 = g. Determine c so that 32*c**2 - 4*c + s*c**4 + 68*c - 30 - 28*c**3 + 30 = 0.
-1, 0, 4
Let w = 4/7 - 5/21. Let a be 10*(-31)/186 - 4/(-2). Factor w*n + 2/3 - a*n**2.
-(