) - 5*i(d). What is p in k(p) = 0?
1/3, 1, 2, 5
Let t = -159 - -204. Factor -4*h**5 + 0*h**4 + 32*h**3 + 2*h**4 + 2*h**4 - t*h**2 - 3*h**2.
-4*h**2*(h - 2)**2*(h + 3)
Let w(k) = 2*k**3 + 1658*k**2 + 3319*k + 55. Let i(a) = -a**3 - 553*a**2 - 1106*a - 20. Let v(n) = -11*i(n) - 4*w(n). Factor v(p).
3*p*(p - 185)*(p + 2)
Let v(p) be the first derivative of 1/10*p**5 + 4/15*p**3 + 4/15*p**4 + 0*p**2 + 1/75*p**6 - 16*p + 16. Let y(x) be the first derivative of v(x). Factor y(k).
2*k*(k + 1)*(k + 2)**2/5
Let f(q) be the third derivative of -q**5/60 + q**4/6 + 5*q**3/6 + 19*q**2. Let x be f(4). Factor 0*n**2 - 6*n - x*n**2 + 3*n**2.
-2*n*(n + 3)
Find k, given that -15000*k**2 + 0 - 3/2*k**4 - 300*k**3 + 0*k = 0.
-100, 0
Factor 41/2*p - 7/2*p**2 - 33/2 - 1/2*p**3.
-(p - 3)*(p - 1)*(p + 11)/2
Suppose 5*m + 20 = 0, -3*s + 0*s - 4 = 4*m. Solve 40*n**3 - s*n**4 - 20*n**2 - 7*n**4 - 4*n**4 = 0.
0, 2/3, 2
Let b(n) be the second derivative of 3/16*n**3 + 0 + 1/32*n**4 - 238*n - 9/160*n**5 - 3/16*n**2. Let b(y) = 0. Calculate y.
-1, 1/3, 1
Let v(n) be the third derivative of -n**6/540 - 13*n**5/270 - 19*n**4/108 + 11*n**3/9 + 9*n**2 - 10*n. Find c such that v(c) = 0.
-11, -3, 1
Let f = 220 - 217. Suppose 144*b**2 - 330*b - 1939*b + 12288 - 35*b - f*b**3 = 0. Calculate b.
16
Let h = -124263 - -124265. Factor 13/2 + 1/2*x**h + 7*x.
(x + 1)*(x + 13)/2
Suppose -92/3*g**2 + 472/3*g + 4/3*g**3 - 128 = 0. What is g?
1, 6, 16
Let p = -143 + 149. Let n(y) be the first derivative of -p*y**2 + 5*y**3 - 10*y - 2*y - 24 - 6*y**3 + 0*y**3. Factor n(k).
-3*(k + 2)**2
Let y(m) = -8*m**2 + 192*m + 341. Let w(n) = 9*n**2 - 198*n - 342. Let x(d) = -5*w(d) - 6*y(d). Find t such that x(t) = 0.
-2, 56
Let s(l) be the first derivative of l**5/2 - l**4/3 + 23*l - 16. Let k(q) be the first derivative of s(q). Determine m so that k(m) = 0.
0, 2/5
Let l(x) be the first derivative of 3*x**5/20 - 297*x**4/16 + 2499*x**3/4 - 7203*x**2/8 + 5827. Solve l(f) = 0 for f.
0, 1, 49
Let y be 128/192*(-1)/2*-1. Suppose 5*g - 4*h + 0*h + 4 = 0, 2*g - 3 = -3*h. Let g + p + y*p**2 = 0. What is p?
-3, 0
Let t(m) be the second derivative of m**6/360 + m**5/180 - m**4/12 + 247*m**2/2 - 2*m + 3. Let z(p) be the first derivative of t(p). Factor z(g).
g*(g - 2)*(g + 3)/3
Let -24*o**3 - 105/2*o**2 + 375/2 - 3/4*o**5 + 675/4*o + 9*o**4 = 0. Calculate o.
-2, -1, 5
Let a(o) be the first derivative of 3*o**5/25 - 2*o**3/5 + 3*o/5 + 423. Factor a(v).
3*(v - 1)**2*(v + 1)**2/5
Let d = -4/37795 + -1509132/25209265. Let f = d + 264412/4669. Let -48/7 - 117*u**3 - f*u - 21*u**4 - 1020/7*u**2 = 0. What is u?
-4, -1, -2/7
Let g(l) = -16*l**2 + 84*l - 59. Let t(w) = 15*w**2 - 73*w + 56. Let q(i) = -2*g(i) - 3*t(i). Solve q(f) = 0.
25/13, 2
Let o(w) be the second derivative of w**5/30 + 215*w**4/3 + 184900*w**3/3 + 79507000*w**2/3 + 4623*w. Let o(s) = 0. What is s?
-430
Solve -1154/13*r**2 + 0 + 2/13*r**5 + 834/13*r**3 + 492/13*r - 174/13*r**4 = 0.
0, 1, 3, 82
Let q(c) be the second derivative of -c**7/504 - c**6/72 - c**5/24 - 79*c**4/12 + 3*c. Let j(s) be the third derivative of q(s). Let j(z) = 0. What is z?
-1
Suppose 2500 - 85*d**4 + 954*d**2 - 94*d**3 + 3550*d - 60*d**4 + 147*d**4 = 0. Calculate d.
-2, -1, 25
Let k(u) be the second derivative of u**4/4 - 390*u**3 - 2343*u**2/2 + 2*u - 6457. Factor k(h).
3*(h - 781)*(h + 1)
Let r = -24/497 - -44/71. Let w = 238 - 1663/7. Factor w + 1/7*k**2 + r*k.
(k + 1)*(k + 3)/7
Let c(s) = s**2 + 567*s - 10341. Suppose -j - 4*l - 12 = 0, 0 = 2*l + 4 - 0. Let a(w) = 284*w - 5172. Let x(h) = j*c(h) + 9*a(h). Suppose x(b) = 0. What is b?
36
Let l(j) be the third derivative of j**8/84 + 92*j**7/105 + 28*j**6/5 - 16*j**5/15 - 344*j**4/3 - 448*j**3 + 4300*j**2. Factor l(z).
4*(z - 2)*(z + 2)**3*(z + 42)
Let z be 3/36 - -3*22/5544*21. Factor 8/3*p**2 + 0 - z*p**3 - 1/3*p**4 + 4*p.
-p*(p - 3)*(p + 2)**2/3
Let k be ((-384)/(-216))/8*(-48)/(-4). Factor 28/9*g - 2/9*g**4 + 4/9*g**3 + k*g**2 + 10/9.
-2*(g - 5)*(g + 1)**3/9
Let y = 34/5189 + -4551875/171237. Let a = 80/3 + y. Suppose -4/11*d**4 - 3/11*d**3 + 0 + 4/11*d + 4/11*d**2 - a*d**5 = 0. What is d?
-2, -1, 0, 1
Let y(m) = 35*m**3 - 400*m**2 + 1240*m - 1370. Let l(v) = -5*v**3 + 57*v**2 - 178*v + 196. Let d(w) = 15*l(w) + 2*y(w). Factor d(h).
-5*(h - 5)*(h - 4)*(h - 2)
Let c(y) be the third derivative of -y**5/180 - 32*y**4/3 - 766*y**3/9 + 1487*y**2 - 4*y. Let c(g) = 0. What is g?
-766, -2
Let p(t) be the second derivative of -359*t**5/40 - 30*t**4 - 121*t**3/4 - t**2/2 - t - 812. Factor p(x).
-(x + 1)**2*(359*x + 2)/2
Find j such that 4/7*j**2 + 640/7 - 148/7*j = 0.
5, 32
Let p(h) = 8*h**3 + 17*h**2 - 17*h + 1. Let m(w) = -4*w**3 - 8*w**2 + 8*w. Suppose 56 - 52 = -a. Let f(u) = a*p(u) - 9*m(u). What is q in f(q) = 0?
-1, 1
Suppose -3 + 1/4*n**4 - 7/4*n + 7/4*n**3 + 11/4*n**2 = 0. What is n?
-4, -3, -1, 1
Let q(x) be the third derivative of -16/9*x**3 + 0*x + 1/90*x**5 - 115*x**2 + 5/12*x**4 + 0. Determine v so that q(v) = 0.
-16, 1
Let c(v) = v**3 - 480*v**2 + 4703*v - 1407. Let z be c(470). Factor 0 + 2/3*a**z - 4/3*a - 2/3*a**2.
2*a*(a - 2)*(a + 1)/3
Let w = -2235 - -2237. Suppose -2*c = 4, -33*c + 2 = w*a - 34*c. Suppose 9/2*g**3 - 3*g**2 + a + 0*g**4 - 3/2*g**5 + 0*g = 0. What is g?
-2, 0, 1
Let m(q) be the third derivative of q**6/180 + 49*q**5/90 + 95*q**4/36 + 47*q**3/9 + 41*q**2 + 3. Solve m(n) = 0.
-47, -1
Determine c so that -2584/3*c + 2/3*c**2 + 834632/3 = 0.
646
Let g(s) be the third derivative of -30*s**3 - 25*s**2 + 2 + 1/24*s**6 - 13/12*s**5 + 25/3*s**4 + 0*s. Factor g(q).
5*(q - 9)*(q - 2)**2
Let p = 20 + -62. Let q = p - -47. Factor 0*k**4 + k**4 - k**2 - 2*k**4 - 2*k**4 + k**q + 3*k**3.
k**2*(k - 1)**3
Let u = -671 - -680. Let w be ((-8)/10)/(((-432)/40)/u). Factor -w*m**4 - 16*m - 2/3*m**2 + 4*m**3 - 32/3.
-2*(m - 4)**2*(m + 1)**2/3
Let r(f) = f**3 + 6*f**2 - f + 3. Let p be r(-6). Suppose 5*i - 1 = p. Factor -56*n**3 - 4 + 30*n - 11*n**2 + 32*n**4 - 35*n**i + 8*n**3.
2*(n - 2)*(n + 1)*(4*n - 1)**2
Suppose 5*x + 5*f - 4480 = f, f = -4*x + 3584. Determine w, given that 73 - 4*w**2 + x*w**3 - 892*w**3 - 32*w - 25 = 0.
-3, 2
Let o be (-6345)/(-18900) - (-2)/(-7). Let h(j) be the first derivative of -1/16*j**4 + 1/12*j**3 - 12 + 1/8*j**2 - o*j**5 + 0*j. Factor h(t).
-t*(t - 1)*(t + 1)**2/4
Let w = -29658 - -29676. Factor w*c + 0 - 2/3*c**2.
-2*c*(c - 27)/3
Let n(j) be the first derivative of 0*j + 15/7*j**2 + 17 - 1/7*j**3. Solve n(k) = 0 for k.
0, 10
Let b(g) = -g**2 - 8*g + 32. Let p be b(-11). Let k be (p - 9/(-6))/((-2)/(-2)). Factor 0 + 1/2*j**2 + k*j.
j*(j + 1)/2
Suppose y - 65 = -5*f, 5*y + 4*f + 215 = 267. Suppose 0 = -4*k - 1 + 13. Factor 2/11*m**5 + y*m + 0*m**4 + 0*m**2 - 2/11*m**k + 0.
2*m**3*(m - 1)*(m + 1)/11
Let h(k) be the third derivative of -k**8/1512 + 2*k**7/189 - 2*k**6/45 + 11*k**5/135 - 7*k**4/108 + 3*k**2 + 134. Factor h(s).
-2*s*(s - 7)*(s - 1)**3/9
Let k = 96091 + -864815/9. Let y be (8/48)/(2/8). Factor 2/9*l**2 + y*l + k.
2*(l + 1)*(l + 2)/9
Let i(a) = -5*a**4 + 253*a**3 - 505*a**2 + 277*a - 24. Let d(y) = 2*y**4 - 5*y + 1. Let n(j) = 4*d(j) - 2*i(j). What is z in n(z) = 0?
1/9, 1, 26
Let a(h) = -2*h**3 - 262*h**2 - 1256*h + 509. Let v be a(-126). Let -12/7*y**4 + 3/7*y + 18/7*y**3 - 12/7*y**2 + 0 + 3/7*y**v = 0. Calculate y.
0, 1
Let g be (1 - 19)*20/(-90) - 2. Factor -33*d - 27*d + 4*d - 61*d - 30 + 12*d**g.
3*(d - 10)*(4*d + 1)
Let i = -3139 + 94171/30. Let p(n) be the third derivative of 0*n + 0 - 5/6*n**4 + 4/3*n**3 + 1/5*n**5 + i*n**6 - 2/105*n**7 + 14*n**2. Factor p(a).
-4*(a - 1)**3*(a + 2)
What is w in -2/5*w**2 - 73728/5 + 768/5*w = 0?
192
Let h(v) be the third derivative of -v**7/560 + 21*v**6/160 - 9*v**5/4 + 299*v**4/32 - 279*v**3/16 + 20*v**2 + 12*v. Find m such that h(m) = 0.
1, 9, 31
Let r(g) be the first derivative of g**4/12 + 2*g**3/9 - 4*g**2 - 1746. Factor r(u).
u*(u - 4)*(u + 6)/3
Let b = -16184 - -16194. Let i(l) be the second derivative of 4/33*l**4 - b*l + 0 - 3/110*l**5 - 4/33*l**3 + 0*l**2. Factor i(g).
-2*g*(g - 2)*(3*g - 2)/11
Solve -1248 + 7176*x**2 - 14339*x**2 + 300*x + 7166*x**2 = 0 for x.
-104, 4
Suppose 0 = 1095*f + 1136*f - 2201*f - 90. Factor 0 - 3/7*c**2 - 2/7*c - 1/7*c**f.
-c*(c + 1)*(c + 2)/7
Let -2/9*z**2 + 0 - 164/9*z = 0. Calculate z.
-82, 0
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