6)/7
Let d(o) = -o**3 + 17*o**2 + 12*o + 4. Let u be 10/((-12)/(-6 - -12)). Let g(p) = -p**3 + p**2. Let j(i) = u*g(i) + d(i). Factor j(t).
4*(t + 1)**3
Factor 399/8*o**3 - 45/4*o**2 + 27/8*o**4 + 0*o + 0.
3*o**2*(o + 15)*(9*o - 2)/8
Suppose -594 + 2172 - 1022 = 2035*a - 3514. Find q such that -3/5*q**4 + 6/5 + 9/5*q**3 - 3/5*q**a - 9/5*q = 0.
-1, 1, 2
Let k(a) be the first derivative of -3*a**2 + 1/6*a**4 + 42 - 10/3*a - 2/3*a**3. Let k(c) = 0. What is c?
-1, 5
Determine g so that -3*g**2 + 12*g - 24*g + 108 + 2*g - 5*g = 0.
-9, 4
Solve -48/5*m**3 - 2/15*m**4 - 544/15*m**2 + 0*m + 0 = 0.
-68, -4, 0
Let l(g) = g**2 - 2*g + 7. Let k be l(-2). Factor 14 - 3*j**2 - k*j + 16*j**2 - 12*j**2.
(j - 14)*(j - 1)
Let f(b) be the third derivative of 1 - 1/180*b**6 - 8/3*b**3 + 11/90*b**5 + 0*b + 5*b**2 + 7/18*b**4. Factor f(u).
-2*(u - 12)*(u - 1)*(u + 2)/3
Let w(r) be the second derivative of -r**4/60 - 11*r**3/30 - r**2 + 344*r. Factor w(q).
-(q + 1)*(q + 10)/5
Let k(v) be the second derivative of -v**6/40 + 775*v**5/8 - 417531*v**4/4 + 1111551*v**3/4 - 1666681*v**2/8 + 691*v + 7. Let k(r) = 0. Calculate r.
1/3, 1, 1291
Let q(t) = 33*t**4 + 126*t**3 + 993*t**2 + 1404*t. Let n(r) = -9*r**4 - 36*r**3 - 284*r**2 - 401*r. Let c(v) = 18*n(v) + 5*q(v). Solve c(j) = 0.
-3, -2, 0, 11
Suppose -c = -29*c - 76*c - 8*c - 100*c. Suppose c*l + 44/5*l**4 + 0 + 16/5*l**2 - 48/5*l**3 - 12/5*l**5 = 0. What is l?
0, 2/3, 1, 2
Suppose 6*o + 2 - 98 = 0. Suppose -3*n - 2*x + o = n, x = -4*n + 20. Solve -5 - 3*j**2 - 12 + n*j + 17 = 0 for j.
0, 2
Let d be (1*-1)/(8/24)*(15 - 16). Factor -99/2*h**2 + 0 + 27/2*h + 60*h**d - 24*h**4.
-3*h*(h - 1)*(4*h - 3)**2/2
Factor -12*t**2 - 32*t + 19*t + 39*t + 18*t.
-4*t*(3*t - 11)
Let m(q) = -203*q**3 + 0*q + 21 - 8*q**2 + 0*q + 202*q**3 + 11*q. Let z be m(-9). Suppose 13*a**2 - 4 - 13*a**3 + 5*a**z + 13*a + 4*a**3 = 0. Calculate a.
-1, 1/4, 4
Let -758/3 - 1/3*r**3 - 382/3*r**2 - 1139/3*r = 0. What is r?
-379, -2, -1
Let -23*z + 9/2 + 2*z**5 - 41/2*z**4 + 16*z**2 + 21*z**3 = 0. Calculate z.
-1, 1/4, 1, 9
Suppose 5*z - 6*j = -5*j + 25, 0 = 5*z - 5*j - 25. Determine y so that -218*y**z - 3*y**3 + 7*y**2 + 0*y**4 + 219*y**5 + 5*y**3 - 7*y**4 - 3*y**3 = 0.
-1, 0, 1, 7
Suppose -4*n - 73 = 5*k, -97 = 2*k + 3*k - 4*n. Let w = k - -22. Factor -w*u**4 + 9*u**3 + 12*u**2 + 2*u - 12*u**3 - 3*u - 3*u.
-u*(u - 1)*(u + 2)*(5*u - 2)
Let t = 323 + -321. Determine y, given that -9*y + 170*y**3 - 169*y**3 + 11*y**2 + 3*y**t - 5*y**2 - y**4 = 0.
-3, 0, 1, 3
Let c(f) = f**3 + 7*f**2 + f - 7. Let n(x) be the second derivative of -1/12*x**4 - 1/2*x**2 + 20*x + 1/6*x**3 + 0. Let v(i) = 5*c(i) + 10*n(i). Factor v(h).
5*(h - 1)*(h + 3)**2
Let d be (843/2810)/((-4)/10 - -1). Factor -16 - 13/2*x**2 - 23*x + d*x**3.
(x - 16)*(x + 1)*(x + 2)/2
Determine s, given that -28/3*s**3 + 34/3 + 32*s**2 - 100/3*s - 2/3*s**4 = 0.
-17, 1
Factor 7/5*b**5 + 0 - 3/5*b - 18/5*b**4 + 12/5*b**3 + 2/5*b**2.
b*(b - 1)**3*(7*b + 3)/5
What is b in -1224/5*b - 64/5 - 3732/5*b**4 - 456*b**2 - 594/5*b**5 + 7894/5*b**3 = 0?
-8, -2/9, -2/33, 1
Suppose -200 = -63*r + 59*r. Find w, given that 18*w**4 - 16*w**2 - 44*w**5 + 9123 - 9125 - 15*w + r*w**3 + 9*w**5 = 0.
-1, -2/7, -1/5, 1
Let x(r) be the first derivative of r**4/26 - 56*r**3/3 + 2548*r**2 - 2553. Let x(u) = 0. What is u?
0, 182
Let c(a) be the third derivative of -a**6/30 - 2*a**5 - 23*a**4/6 + 116*a**3 - 3*a**2 - 2396. Determine w so that c(w) = 0.
-29, -3, 2
Let i(h) be the first derivative of h**4/15 + 17*h**3/30 - 20*h + 106. Let n(t) be the first derivative of i(t). Factor n(c).
c*(4*c + 17)/5
Let y(k) = 2*k**4 + 2*k**3 - 24*k**2 - 46*k - 2. Suppose -123 - 37 = 16*t. Let b(w) = w**2 + 2*w - 1. Let a(v) = t*b(v) - y(v). Factor a(i).
-2*(i - 3)*(i + 1)**2*(i + 2)
Suppose 17689 = 4407*a + 4468. Determine w so that -2/5*w**a + 0 + 2/5*w**2 + 24/5*w = 0.
-3, 0, 4
Let f = -129 - 247. Let t be 56/26 - f/(-2444). Factor 4/7*i**3 + 12/7 + 20/7*i**t + 4*i.
4*(i + 1)**2*(i + 3)/7
Let c(r) be the third derivative of -13/60*r**5 - 1/14*r**7 + 1/8*r**4 + 7/40*r**6 + 0 + 182*r**2 + 0*r + 1/84*r**8 + 0*r**3. Determine j, given that c(j) = 0.
0, 3/4, 1
Let q be (-27 - (3 - 40)) + (1 - 3). Factor -q + 1/2*m**2 + 15/2*m.
(m - 1)*(m + 16)/2
Let s(r) be the second derivative of -r**5/40 - 35*r**4/8 + 71*r**3/4 - 107*r**2/4 - 45*r + 1. Factor s(f).
-(f - 1)**2*(f + 107)/2
Let i(d) be the first derivative of -5*d**4/4 + 55*d**3/3 - 20*d**2 - 100*d - 1567. Suppose i(k) = 0. What is k?
-1, 2, 10
Suppose 2*f - 3*g = 12, -5*f + 4*g = -11 - 19. Let i be (3 - 21/f)*0 - 0. Factor -2/7*r**2 + i - 2/7*r**3 - 2/21*r**4 - 2/21*r.
-2*r*(r + 1)**3/21
Suppose 5777*b - 5778*b = 5*w, -3*b - 36 = -3*w. Factor 0 - 45/4*c - 6*c**w - 3/4*c**3.
-3*c*(c + 3)*(c + 5)/4
Let k be (810/243)/(125/180). Factor 2*s + k + 2/5*s**3 - 12/5*s**2.
2*(s - 4)*(s - 3)*(s + 1)/5
Let s(l) = 14*l**2 - 866*l + 1041. Let m(h) = 2*h**2 - 108*h + 130. Let y(x) = 17*m(x) - 2*s(x). Factor y(o).
2*(o - 16)*(3*o - 4)
Let s be (-3 - (-924)/303)*2/2. Let x = 449/909 - s. Factor 0 - 8/9*d**2 - x*d**3 - 4/9*d.
-4*d*(d + 1)**2/9
Let y(c) be the first derivative of 0*c - 28 + 5/3*c**3 + 1/150*c**5 - 14*c**2 + 1/6*c**4. Let z(x) be the second derivative of y(x). Factor z(j).
2*(j + 5)**2/5
Let o(v) be the second derivative of 217*v - 24334/5*v**2 + 1/25*v**5 + 1058/5*v**3 + 0 - 23/5*v**4. Let o(l) = 0. What is l?
23
Let k(r) be the third derivative of r**8/28 - 4*r**7/7 + 33*r**6/40 + 31*r**5/20 - 37*r**4/8 + 9*r**3/2 + 63*r**2 + 5. Determine n, given that k(n) = 0.
-1, 1/2, 1, 9
Let n = 65539/4 + -720913/44. Factor 0 - n*t**2 + 2/11*t**3 - 6/11*t.
2*t*(t - 3)*(t + 1)/11
Find h, given that 141*h**2 - 5*h**3 + 140*h**2 + 162*h - 286*h**2 - 2340 + 438*h = 0.
-13, 6
Let z = 296 + -263. Let h be 5/3*(-16)/((-176)/z). Find q, given that 6/11 - 50/11*q + 124/11*q**2 + 54/11*q**h - 162/11*q**4 - 36/11*q**3 = 0.
-1, 1/3, 3
Let d(v) be the third derivative of 0*v + 1/480*v**6 - 13/60*v**5 - 625/12*v**3 - 2*v**2 + 33 + 725/96*v**4. Factor d(u).
(u - 25)**2*(u - 2)/4
Let z = 58 - 53. Factor 5*k**2 + 19*k - z + 5*k**3 + 0*k**3 - 14*k - 10*k.
5*(k - 1)*(k + 1)**2
Find d, given that 1/2*d**4 + 1053/2 - 16*d**3 + 173*d**2 - 684*d = 0.
1, 9, 13
Determine z, given that 782/3*z**4 - 10/3 - 772/3*z**2 + 406/3*z - 386/3*z**5 - 20/3*z**3 = 0.
-1, 5/193, 1
Let b = 225 + -221. Let y(f) = 7*f + 2. Let o be y(1). What is k in 11*k**3 - 28*k**2 + 20*k**4 + 10*k - o*k**2 - 8*k**2 + b*k**3 = 0?
-2, 0, 1/4, 1
Let d(p) = 5*p**5 - 21*p**4 + 37*p**3 + 3*p**2 - 3*p. Let r(j) = -4*j**5 + 20*j**4 - 30*j**3 - 2*j**2 + 2*j. Let m(l) = -2*d(l) - 3*r(l). What is y in m(y) = 0?
0, 1, 8
Let k(r) be the third derivative of r**5/3 - 1619*r**4/3 - 864*r**3 - 5*r**2 + 65*r. Factor k(f).
4*(f - 648)*(5*f + 2)
Let n be 70/245 - 32/14. Let c = 3/2 - n. Factor -c*z**2 - z + 0.
-z*(7*z + 2)/2
Let d(k) be the third derivative of k**5/80 - 93*k**4/32 - 47*k**3/4 - 2*k**2 + 168*k. Factor d(v).
3*(v - 94)*(v + 1)/4
Let r(y) be the third derivative of y**7/70 + 49*y**6/20 + 2589*y**5/20 + 2303*y**4/2 + 4418*y**3 - 4272*y**2. Factor r(l).
3*(l + 2)**2*(l + 47)**2
Let l be -15 + 7144/494 + (2 - 1). Let y = -5 + 8. Find o, given that -l + 2/13*o**y - 2/13*o**2 - 10/13*o = 0.
-1, 3
Solve -43116*t + 72250 - 286*t**2 + 153*t**2 - 707*t**2 + 8691*t - 5*t**3 = 0 for t.
-85, 2
Suppose 17688/7*y + 1/7*y**3 + 265/7*y**2 + 17424/7 = 0. What is y?
-132, -1
Let l(m) be the third derivative of -m**6/30 - 7*m**5/15 + 181*m**4/6 + 374*m**3/3 - 2*m**2 + 59*m + 1. Factor l(f).
-4*(f - 11)*(f + 1)*(f + 17)
Let l(w) be the second derivative of 0 - 43/21*w**3 + 6*w**2 + 1/42*w**4 - 329*w. Factor l(c).
2*(c - 42)*(c - 1)/7
Suppose 4/3*f**2 - 80/3*f - 92 = 0. Calculate f.
-3, 23
Let j(o) be the first derivative of -o**3 + 147*o**2 - 1656*o - 6079. Suppose j(d) = 0. Calculate d.
6, 92
Suppose -57 = -140*c + 363. Factor 3/2*n**2 - 3/2*n - c.
3*(n - 2)*(n + 1)/2
Let g = -58483/3 + 19495. Let k(b) be the first derivative of g*b**5 - 7 + 10/3*b + 1/9*b**6 + 1/3*b**2 - 1/3*b**4 - 20/9*b**3. Suppose k(w) = 0. What is w?
-5, -1, 1
Let s be 6 + (-28)/(-18) + -8 + (-1360)/(-306). Factor 1/2*j**5 + 0 + 2*j - j**s + 2*j**2 - 3/2*j**3.
j*(j - 2)**2*(j + 1)**2/2
Let v(p) = 386*p**2 - 14*p + 1