*m - 2)
Let o(p) be the first derivative of p**3/6 + 175*p**2/4 + 87*p - 515. Factor o(w).
(w + 1)*(w + 174)/2
Let c(l) be the third derivative of -l**5/30 + 49*l**4/12 + 52*l**3 - 296*l**2. Let c(s) = 0. What is s?
-3, 52
Let n(z) be the third derivative of -2*z**7/105 + 7*z**6/15 - 4*z**5 + 25*z**4/3 + 250*z**3/3 - 3772*z**2. Find v, given that n(v) = 0.
-1, 5
Suppose 191*j - 99 - 237 = 428. Find s, given that 31/4*s**3 - 5/2*s**j + 1/4*s**5 - 8*s + 8 - 11/2*s**2 = 0.
-1, 1, 2, 4
What is b in -248*b - 1306*b - 1179 - 5*b**2 - 821*b + 3559 = 0?
-476, 1
Suppose 4*a - 5*n - 71 = -6*n, -3*n = -3*a + 57. Factor 9*i + 11*i - 7*i**2 + 16*i**4 - 23*i**2 - a*i**2 + 4*i**3 + 8.
4*(i - 1)**2*(i + 2)*(4*i + 1)
Let y(h) be the first derivative of -h**4/7 - 2444*h**3/7 - 2239926*h**2/7 - 912396524*h/7 + 3091. Find u such that y(u) = 0.
-611
Let i(p) be the third derivative of -p**8/5040 + p**7/210 - p**6/20 + 17*p**5/30 - 2*p**2. Let b(y) be the third derivative of i(y). Factor b(d).
-4*(d - 3)**2
Suppose 979207*q + 9 = 979210*q. Let 34/5*t**2 - 32/5*t + 6/5 - 8/5*t**q = 0. Calculate t.
1/4, 1, 3
Let g = 92 + 777. Factor -g + 1460 - 791 + 40*h - 2*h**2.
-2*(h - 10)**2
Suppose 25*u**4 - 17*u + 370*u**2 + 316*u + 16*u + 485*u**3 - 1195*u**2 = 0. Calculate u.
-21, 0, 3/5, 1
Find v, given that -32*v**2 - 32/5 + 152/5*v - 10*v**3 = 0.
-4, 2/5
Factor j**2 + 0*j**4 + 0*j + 1/6*j**5 - 7/6*j**3 + 0.
j**2*(j - 2)*(j - 1)*(j + 3)/6
Let f(x) = -2*x**3 + x**2 + 1. Let b be f(3). Let u be ((-16)/(-32))/((-2)/b). Determine p so that 9*p**2 - 5*p**3 + 35*p + 30 + 2*p**2 - u*p**2 = 0.
-2, -1, 3
Let o(p) = -3*p + 26. Let l be o(7). Factor 40*q**2 + 107*q**l + 107*q**5 + 30*q**4 + 16*q**3 - 219*q**5 - 76*q**3.
-5*q**2*(q - 2)**3
Let a(n) be the third derivative of -n**7/210 + 22*n**6/45 - 35*n**5/2 + 147*n**4 - 3*n**3/2 + 12*n**2. Let y(z) be the first derivative of a(z). Factor y(j).
-4*(j - 21)**2*(j - 2)
Let f = 256232/385 - 22632/35. Suppose 0*l**3 - 18/11*l**4 - 96/11*l - 2/11*l**5 + f*l**2 - 288/11 = 0. Calculate l.
-6, -1, 2
Let c(p) be the first derivative of -p**6/40 - p**5/5 + 19*p**4/8 - 7*p**3 + 91*p**2/2 + 109. Let m(t) be the second derivative of c(t). Solve m(o) = 0.
-7, 1, 2
Let u(a) be the third derivative of 7*a**6/20 + 181*a**5/20 + 295*a**4/8 - 11*a**3 + 7130*a**2. Find x such that u(x) = 0.
-11, -2, 1/14
Solve 0*k**3 - 2/3*k**4 - 24 + 0*k + 26/3*k**2 = 0 for k.
-3, -2, 2, 3
Let x = -1102351/5 + 220481. What is h in -2/5*h**4 + 4*h**3 + 36/5*h + 0 - x*h**2 = 0?
0, 1, 3, 6
Let p be (207/414)/((1/(-4))/(-1)). Let k(i) = 2*i**3 - 4*i**2 + 4. Let d be k(p). Let -6/7*j + 3/7*j**d + 0*j**2 + 6/7*j**3 - 3/7 = 0. Calculate j.
-1, 1
Let -1/2*z**2 - 191*z - 36481/2 = 0. Calculate z.
-191
Let m = -33 + 35. Let 3*x**3 + 4113*x + x**3 - 4105*x - 12*x**m = 0. Calculate x.
0, 1, 2
Let d(w) be the third derivative of 0*w**5 + 0*w - 1/63*w**3 + 1/126*w**4 + 2 + 1/2205*w**7 - 22*w**2 - 1/630*w**6. Factor d(x).
2*(x - 1)**3*(x + 1)/21
Let b(h) = 98 - 6*h**2 + 34*h - 78 - 54. Let o(t) = 8*t**2 - 35*t + 36. Let u(l) = 3*b(l) + 2*o(l). Let u(s) = 0. What is s?
1, 15
Let z(j) = -168*j**2 - 19728*j - 3489052. Let n(w) = 25*w**2 + 2818*w + 498436. Let k(h) = 20*n(h) + 3*z(h). Factor k(b).
-4*(b + 353)**2
Let m be (-18)/63 - -223*(-5)/(-2800). Let w(q) be the second derivative of 0 - 3/8*q**3 - 1/16*q**4 + 3/8*q**2 - 4*q + m*q**5. Solve w(z) = 0.
-1, 1/3, 1
Let i(g) be the first derivative of 2/35*g**5 - 84 - 4/7*g**4 - 18/7*g**2 + 0*g + 2*g**3. Determine o so that i(o) = 0.
0, 2, 3
Let x be 11/1045*-10 - 80/(-38). Factor 0 - 2*y**3 + y**4 + 0*y - 1/6*y**5 + 4/3*y**x.
-y**2*(y - 2)**3/6
Let m(a) be the third derivative of -a**7/1890 + 2*a**6/135 + 7*a**5/108 + a**4/12 - a**2 - 2*a + 108. Factor m(k).
-k*(k - 18)*(k + 1)**2/9
Let m(y) be the first derivative of 2/75*y**5 - 7/30*y**4 + 8/15*y + 86 - 13/15*y**2 + 2/3*y**3. Determine f so that m(f) = 0.
1, 4
Let q(u) be the third derivative of -u**5/30 + 213*u**4 - 544428*u**3 - 3557*u**2. What is i in q(i) = 0?
1278
Let r(y) be the first derivative of -5*y**4/4 + 150*y**3 + 930*y**2 + 1880*y + 2421. Factor r(q).
-5*(q - 94)*(q + 2)**2
Let 114/5*g**4 + 3/5*g**5 + 0*g**2 + 0*g + 0 - 117/5*g**3 = 0. What is g?
-39, 0, 1
Find n such that n**4 - 17*n**3 - 48*n + 64*n**2 - 7667 - 7657 + 15324 = 0.
0, 1, 4, 12
Factor -3690*a + 2/3*a**5 - 380*a**3 + 80/3*a**4 + 2808 + 1800*a**2.
2*(a - 3)**4*(a + 52)/3
Let q be 231/(-770)*5/((-30)/4). Let f(t) be the second derivative of q*t**5 - 6*t + 1/15*t**6 + 0 + 0*t**3 + 1/6*t**4 + 0*t**2. Suppose f(y) = 0. What is y?
-1, 0
Let a = -30 - -33. Suppose 0*k = -a*k + 6. What is g in -16*g**k - g**4 + 0*g**4 - 3*g**4 + 16*g**3 = 0?
0, 2
Let j be (-82)/(-123) + (-1039)/(-3). Let b = 2432/7 - j. Determine w so that -b*w**3 + 0 + 0*w + 0*w**2 = 0.
0
Let q = 179869/5 - 1616401/45. Factor -q + 44/9*o - 1/9*o**2.
-(o - 22)**2/9
Suppose 4733*t = 1513*t. Determine i so that -1/4 + t*i**3 + 0*i + 1/2*i**2 - 1/4*i**4 = 0.
-1, 1
Let i be 29/(-30)*-2 + (92/(-20) - -5). Factor i*c - 1 - 5/3*c**2 + 1/3*c**3.
(c - 3)*(c - 1)**2/3
Let m(i) be the first derivative of 17/2*i**2 + 1/570*i**5 - 29 + 0*i + 0*i**3 - 1/114*i**4. Let p(d) be the second derivative of m(d). Solve p(k) = 0.
0, 2
Let s = 18 + -10. Suppose -6*v + s*v = 4. What is q in 7*q**3 - q**2 - v + 5*q**4 + 378*q - 2*q**4 - 385*q = 0?
-2, -1, -1/3, 1
Let u be (-118 + 1)/13 + 12. Let d(i) be the first derivative of 2/7*i**6 - 3/14*i**2 + 0*i + 2 - 9/28*i**4 - 5/7*i**u + 3/7*i**5. Determine m so that d(m) = 0.
-1, -1/4, 0, 1
Let r(z) = -11*z**3 + 4*z**2 - 2*z - 5. Let g be r(-1). Let g*k + 14*k + 256*k**2 + 2*k**3 - 228*k**2 = 0. What is k?
-13, -1, 0
Determine m, given that 195*m + 25*m + 4*m**2 - 24*m - 200 = 0.
-50, 1
Suppose 0 = m - 24 + 22. Factor 119*h + 1078*h**2 + 24 - 19*h - 942*h**m + 60*h**3.
4*(h + 1)*(3*h + 2)*(5*h + 3)
Let n(v) = 425*v**5 - 2140*v**4 + 3215*v**3 - 1600*v**2 - 20*v + 20. Let j(g) = -g**5 + 6*g**4 + g**2 - 1. Let u(t) = -20*j(t) - n(t). Let u(i) = 0. What is i?
-1/81, 0, 1, 2
Let t = -6226 + 6232. Let r(g) be the first derivative of 2/3*g**t - 16/3*g**3 + 17 + 0*g - 6*g**2 + 16/5*g**5 + 2*g**4. What is d in r(d) = 0?
-3, -1, 0, 1
Let p(t) = t**3 + 10*t**2 + 10*t + 12. Let c be p(-9). Suppose -x = 4*j - 0*j - 22, 15 = c*j. Determine h so that 5*h + 0*h - 2*h**x + 9*h = 0.
0, 7
Let r(x) be the first derivative of -8*x**6/21 - 4*x**5/7 + 6*x**4/7 - 1626. Determine w so that r(w) = 0.
-2, 0, 3/4
Let i = -492119 + 8367623/17. Suppose -8480/17*f - 12256/17*f**2 - 2288/17*f**3 - 50/17*f**5 + 860/17*f**4 - i = 0. Calculate f.
-2, -2/5, 10
Let s(k) be the first derivative of 13*k**6/240 - 37*k**5/240 - k**4/24 - 32*k**3/3 + 223. Let c(l) be the third derivative of s(l). Factor c(m).
(m - 1)*(39*m + 2)/2
Let d(x) = -x**3 - 2*x**2 - 3*x + 7*x - 2 + 4*x**2 - 3. Let s(z) = z**3 - 2*z**2 - 3*z + 4. Let n(t) = 4*d(t) + 5*s(t). Factor n(l).
l*(l - 1)**2
Let h(a) = 2*a**2 + 14*a - 2. Let c be h(-9). Solve c*o + 37 - 22 - 2*o**2 + 21 = 0 for o.
-1, 18
Let y(u) be the third derivative of 64/3*u**3 + 0 + 25/6*u**4 - 2*u**2 - 7/15*u**5 + 9*u. Factor y(j).
-4*(j + 1)*(7*j - 32)
Suppose -3*j - 93*j + 66 = 66. Determine m, given that 0 - 4/5*m**3 + 48/5*m**2 + j*m = 0.
0, 12
Let g(d) = 4*d - 2 + 10*d + 9 - 9*d + 2*d**2. Let o be g(-2). Factor 98*w**o + 8*w**3 + 8*w**4 + 4*w**2 - 96*w**5 + 2*w**3.
2*w**2*(w + 1)**2*(w + 2)
Let j be (29 - (27 + 2))*1. Let 4*u**4 - 2/3*u**3 + 0*u + 0*u**2 + j - 10/3*u**5 = 0. What is u?
0, 1/5, 1
Let p = -263 + 281. Solve 4*v**3 - 17*v**2 + p*v**2 + 4 + 8*v - 16*v**2 - 1 = 0.
-1/4, 1, 3
Let v(u) = u**3 - 8*u**2 - u + 10. Let r be v(8). Suppose 1 = r*h - 5. Factor 77*l**2 - 71*l**2 + 3*l**3 + 0*l**h.
3*l**2*(l + 2)
Let i = -499081 + 499084. Suppose 0 + 0*x + 8/9*x**i - 2/9*x**5 - 16/9*x**2 + 4/9*x**4 = 0. Calculate x.
-2, 0, 2
Solve -3/4*f**5 + 153/4*f**3 - 111/4*f**2 + 0 - 135/2*f - 9/4*f**4 = 0.
-9, -1, 0, 2, 5
Let w be -1*1*((-31)/3 - -10)*0. Factor w + 14/11*m + 2/11*m**2.
2*m*(m + 7)/11
Let g(h) be the first derivative of -10*h - 40/3*h**3 + 35/2*h**2 - 38 + 15/4*h**4. Solve g(u) = 0 for u.
2/3, 1
Suppose -11*i**2 - 10*i**2 - 59376*i**3 - 6 + 27*i**4 + 59409*i**3 - 4*i - 29*i = 0. Calculate i.
-1, -2/9, 1
Let o(v) be th