60*v**2 + 130*v + 77*v + n*v**3 + 500 + 93*v.
4*(v + 5)**3
Let u(b) = -8*b**2 - 55*b + 492. Let o(w) = 5*w**2 + 54*w - 497. Let y(h) = 6*o(h) + 4*u(h). Let y(s) = 0. What is s?
13, 39
Let y(i) be the third derivative of i**8/3360 + i**7/840 + i**6/480 + i**5/60 - 40*i**2 + 2. Let c(r) be the third derivative of y(r). Factor c(a).
3*(2*a + 1)**2/2
Let j(i) be the third derivative of -9*i**2 + 1/1980*i**6 + 1/110*i**5 + 0 + 8/3*i**3 + 3/44*i**4 + 0*i. Let v(g) be the first derivative of j(g). Factor v(u).
2*(u + 3)**2/11
Let t be (7/(-42))/(3/(-4734)). Let o = -260 + t. Factor 3*h**o - 4/3 + 11/3*h**2 - 16/3*h.
(h - 1)*(h + 2)*(9*h + 2)/3
Determine j, given that -24/7*j + 0 - 2/7*j**5 + 2/7*j**2 + 26/7*j**3 - 2/7*j**4 = 0.
-4, -1, 0, 1, 3
What is a in 0*a**2 + 90*a - 5/6*a**3 - 360 = 0?
-12, 6
Let w = 182402 - 1094395/6. Suppose -1/2*u**3 - w*u**2 - 7/6 + 9/2*u = 0. What is u?
-7, 1/3, 1
Let g = -6086 - -6088. Let k(a) be the first derivative of 20/3*a**3 - 50*a - 5/4*a**4 + 37 + 35/2*a**g. Factor k(q).
-5*(q - 5)*(q - 1)*(q + 2)
Let w(c) be the first derivative of 2*c**3/15 - 166*c**2/5 + 978*c/5 - 150. Factor w(v).
2*(v - 163)*(v - 3)/5
Let h be (98/56)/((-2)/(-48)). Let y = h - 34. Factor 121*w**4 - 27*w**3 - 40*w - y - 74*w**2 - 139*w**4 - 33*w**3.
-2*(w + 1)**2*(3*w + 2)**2
Let i be (1000/4200)/((-25)/(-90)). Find f, given that 0*f**3 + 0 - i*f - 9/7*f**2 + 3/7*f**4 = 0.
-1, 0, 2
Let w(x) = 2657*x**3 + 1502*x**2 + 269*x + 16. Let m(j) = 2658*j**3 + 1492*j**2 + 268*j + 16. Let s(k) = 5*m(k) - 4*w(k). Suppose s(p) = 0. What is p?
-2/11
Let i(o) = 3*o**2 + 3*o - 31. Let m be i(3). Suppose -4*a - m*a = -36. Suppose -14/5*z**5 + 24/5*z**a - 6/5*z**3 + 0*z + 0 - 4/5*z**2 = 0. Calculate z.
-2/7, 0, 1
Let x be 3/30 - (0*4/(-20))/2. Let a(l) be the first derivative of 1/40*l**4 + 31 + x*l - 1/20*l**2 - 1/30*l**3. Suppose a(c) = 0. Calculate c.
-1, 1
Factor 2*x**4 + 190*x**2 - 46*x**2 + 19*x**3 + x**3 - 6*x**4.
-4*x**2*(x - 9)*(x + 4)
Let d(b) be the second derivative of -2*b + 360*b**2 + 241/15*b**4 - 19 - 4/25*b**5 - 488*b**3. Let d(q) = 0. What is q?
1/4, 30
Let h(k) = -161*k - 22. Let x be h(-2). Let m(g) = -g**2 + 6*g - 4. Let l be m(4). Factor -31*q**5 + 5*q + 156*q**5 - 3 + 60*q**2 + x*q**l + 230*q**3 + 3.
5*q*(q + 1)**2*(5*q + 1)**2
Let j(h) be the second derivative of -h**5/5 + 341*h**4/3 - 57104*h**3/3 - 177504*h**2 - 13*h - 29. Let j(s) = 0. Calculate s.
-3, 172
Let s(f) = -63*f**2 - 4369*f - 4456. Let r(l) = 5*l**2 + 364*l + 371. Let p(t) = -50*r(t) - 4*s(t). Factor p(m).
2*(m - 363)*(m + 1)
Let h(i) be the second derivative of 285*i - 1/2*i**4 + 11/3*i**3 - 1/15*i**5 + 0 - 14/3*i**2. Determine g, given that h(g) = 0.
-7, 1/2, 2
Let c(j) be the third derivative of j**8/28 - 92*j**7/105 + 32*j**6/5 - 194*j**5/15 + 15*j**4/2 - 14*j**2 - 2*j - 1. Let c(u) = 0. Calculate u.
0, 1/3, 1, 5, 9
Factor -1/4*z**2 - 17424 - 132*z.
-(z + 264)**2/4
Let -71*r**3 - 1 + 1 + 58*r**2 + 204*r**2 + 69*r**3 = 0. Calculate r.
0, 131
Let r(x) be the first derivative of -x**6/40 - x**5/4 + 56*x**2 - 73. Let n(g) be the second derivative of r(g). Factor n(o).
-3*o**2*(o + 5)
Suppose 19*f = -78 + 116. Let o(v) be the first derivative of 0*v**3 + 1/15*v**f + 0*v - 31 - 1/30*v**4. Find n such that o(n) = 0.
-1, 0, 1
Let j(w) be the second derivative of -w**6/20 - 23*w**5/120 - 13*w**4/48 - w**3/6 - 10*w**2 - 77*w. Let u(h) be the first derivative of j(h). Factor u(i).
-(i + 1)*(3*i + 2)*(4*i + 1)/2
Let g(w) = 5*w**2 + 314*w + 5114. Let k(q) = -10*q**2 - 626*q - 10226. Let o be ((-3)/4)/((-5)/20). Let u(t) = o*k(t) + 7*g(t). Factor u(l).
5*(l + 32)**2
Let o be 1 + 3 + 7 - (0 + -1). Factor -72 - o + 4*j**2 - 30 + 100*j - 2 + 12.
4*(j - 1)*(j + 26)
Let m be (1 + 0)*(6 - 6)/4. Suppose o + 1 = m, -4*r - o - 1 = r. What is l in 2/3*l**2 - 2/9*l**5 + r - 2/3*l**4 + 4/9*l - 2/9*l**3 = 0?
-2, -1, 0, 1
Let 9/4*l**4 + 291/2*l**3 + 760*l**2 + 295/4 + 917/2*l = 0. Calculate l.
-59, -5, -1/3
Let l(b) be the first derivative of 5*b**3/3 + 380*b**2 + 28880*b + 2286. Factor l(f).
5*(f + 76)**2
Let w(g) be the first derivative of g**3/6 + 507*g**2/2 + 257049*g/2 + 7913. Factor w(j).
(j + 507)**2/2
Let w(q) = 5*q**2 - 386*q - 1558. Let t(y) = 3*y**2 - 192*y - 780. Let f(n) = -11*t(n) + 6*w(n). Determine v, given that f(v) = 0.
-64, -4
Let f(o) be the third derivative of -o**6/8 - 425*o**5/12 + 2515*o**4/12 - 240*o**3 - 8324*o**2. Find r such that f(r) = 0.
-144, 1/3, 2
Suppose 61*s = 45*s + 128. Let k be (-46)/10 + s/(72/45). Factor 1/5*n**3 + n + k + 4/5*n**2.
(n + 1)**2*(n + 2)/5
Let n be 1590/689 + (-90)/(-130). Suppose -1/2*x**5 + 0*x**4 + 0 - 9*x**2 + 11/2*x**n + 4*x = 0. Calculate x.
-4, 0, 1, 2
Let f(n) be the second derivative of -n**4/114 - 44*n**3/57 - 259*n**2/19 - 2031*n - 2. Let f(z) = 0. Calculate z.
-37, -7
Determine h, given that 585*h**2 + 152*h + 8*h**4 - 185*h + 71*h**4 - 413*h**3 + h**5 - 170*h - 49*h = 0.
-84, 0, 1, 3
Let w be ((-1)/36*-78)/((-9)/4) + 1. Let j(h) be the second derivative of 1/9*h**5 - w*h**3 + 14*h + 0 - 7/90*h**6 + 0*h**2 + 1/36*h**4. Solve j(r) = 0 for r.
-1/3, 0, 2/7, 1
Let n(u) be the second derivative of -u**7/420 - u**6/90 + 9*u**3 + u**2/2 + 2*u - 23. Let h(g) be the second derivative of n(g). Factor h(c).
-2*c**2*(c + 2)
Let v = 10347041/9 - 1149671. Let -v*t**2 - 2 + 4/3*t = 0. Calculate t.
3
Let g be (5 - -1 - (-3400)/(-72))*2. Let n = g + 248/3. Factor 2/3*k - 2/3*k**2 + 2/9*k**3 - n.
2*(k - 1)**3/9
Let s(p) be the third derivative of p**7/1680 - 119*p**6/480 + 1633*p**5/480 - 309*p**4/16 + 231*p**3/4 - p**2 + 2*p + 957. Factor s(j).
(j - 231)*(j - 3)*(j - 2)**2/8
Factor 4980/7*q - 2/7*q**2 - 3100050/7.
-2*(q - 1245)**2/7
Let c(r) be the third derivative of r**6/96 + r**5/8 - 10*r**4/3 + 20*r**3 - 10405*r**2. Factor c(p).
5*(p - 4)*(p - 2)*(p + 12)/4
Let l(j) = -35*j**4 - 30*j**3 + 5*j**2 - 5*j + 5. Let d(v) = v**5 - v**4 - v**3 + v**2 - v + 1. Let w(u) = -5*d(u) + l(u). Factor w(n).
-5*n**3*(n + 1)*(n + 5)
Let d be -2*2570/100 - (-4 - -1). Let a = 1709/35 + d. Let -a*h**2 + 0 + 6/7*h = 0. Calculate h.
0, 2
Factor 0 + 5/2*a**2 + 85/2*a.
5*a*(a + 17)/2
Factor 31*u**3 - 210*u - 12*u**4 + 58*u**3 - 99*u**2 + 7*u**4 + 19*u**3 + 2*u**4.
-3*u*(u - 35)*(u - 2)*(u + 1)
Let q(o) = o**3 - 9*o**2 + 10*o - 17. Let s be q(8). Let k be (3 + (s - 0) + 1)*1. Let -2*w + 18/5*w**2 + 0 - 2/5*w**4 - 6/5*w**k = 0. What is w?
-5, 0, 1
Let r(z) be the second derivative of -z**6/90 + 9*z**5/10 - 869*z**4/36 + 616*z**3/3 - 480*z**2 + 6821*z. Determine p, given that r(p) = 0.
1, 5, 24
Let q(c) be the third derivative of -c**6/720 + 37*c**5/180 - 77*c**4/12 - 490*c**3 + 2*c**2 - 1017*c - 3. What is b in q(b) = 0?
-10, 42
Let o(j) be the second derivative of 178*j - 40/9*j**4 - 64/3*j**2 + 0*j**6 + 0 + 2/3*j**5 - 1/126*j**7 + 40/3*j**3. What is p in o(p) = 0?
-8, 2
Suppose 14*k - 94 = -131 + 79. Let u(z) be the third derivative of 0 + 0*z + 3/20*z**4 - 2/15*z**k - 9*z**2 - 7/150*z**5. Let u(o) = 0. What is o?
2/7, 1
Suppose -4*s = -5*f + 34, 2*f - 3*s = s + 16. Suppose -y = 5*t - 28, f*t - 26 = -2*y + 2*t. Factor -15*g**2 - 45 + 45*g + 5/3*g**y.
5*(g - 3)**3/3
Let i(n) = n - 32. Let k be i(-14). Let f = k - -50. What is m in m**3 - 3 + 9 - 4*m**2 + 5*m - f - 4 = 0?
1, 2
Let t be ((-284)/12)/(-1*5/(-15)). Let f = -211/3 - t. Factor 1/6*z**2 + f*z - 2/3 - 1/6*z**3.
-(z - 2)*(z - 1)*(z + 2)/6
Suppose -4*t = 4*d - 4, -8 = 3*d - 9*t - 35. Factor -3 - 6*a**2 + 15/2*a + 3/2*a**d.
3*(a - 2)*(a - 1)**2/2
Suppose o + 3*k - 8 = 0, k + k - 8 = -2*o. Solve 84*f**o + f**2 + 91*f - 12*f + 5*f**4 + 6*f + 30 + 35*f**3 = 0 for f.
-3, -2, -1
Let n = -27573 - -27578. Let l(b) be the first derivative of -98/9*b**3 - 17 + 94/15*b**n + 14/3*b**6 - 13/2*b**4 - b**2 + 4/3*b. Find g, given that l(g) = 0.
-1, -2/7, 1/6, 1
Let l be 6*(-14)/56*-4. Factor 14/5 - l*u + 18/5*u**2 - 2/5*u**3.
-2*(u - 7)*(u - 1)**2/5
Let f be ((-4270)/(-40))/(20/(-48)). Let z = -256 - f. Factor -2/5*x + 1/5 + z*x**2.
(x - 1)**2/5
Let u(a) = 2*a**3 + 29*a**2 + 12*a - 26. Let k be u(-14). Let -48*j**k - 2*j + 4*j**3 + 40*j**2 - 18*j - 10 + 34 = 0. What is j?
-2, 1, 3
Suppose l + 5*a + 182 = 228, 116 = l - 5*a. Determine d, given that l*d**2 + 66*d + 75/2*d**3 + 6*d**4 + 12 = 0.
-2, -1/4
Let s be (40 - (-4505)/(-