u - 704*u**3 - 10*u**4 + 761 + 1950*u**2 + 6*u**4 - 102 = 0.
-73, -1, -2/5, 4
Factor -700/3*q - 694 - 2/3*q**2.
-2*(q + 3)*(q + 347)/3
Let i = -5936/23 - -101851/345. Let y = 113/3 - i. Factor 8/15*z - y - 2/15*z**2.
-2*(z - 2)**2/15
Find y, given that 8*y**2 + 420*y - 2800*y**3 + 28*y + 0*y**2 - 50*y**4 = 0.
-56, -2/5, 0, 2/5
Suppose -91 = 23*p - 16*p. Let t be (-7)/(-6) - p/(-26). Let 0 + 2*l + t*l**2 = 0. What is l?
-3, 0
Find g, given that -5*g**3 + 45*g + 3*g**3 + 61*g + 3635*g**2 - 54 - 3685*g**2 = 0.
-27, 1
Let p(t) be the second derivative of -t**4/6 + 29*t**3/3 + 132*t**2 - 867*t. What is o in p(o) = 0?
-4, 33
Let i = 4348 - 521759/120. Let w(s) be the third derivative of i*s**6 - 1/6*s**4 + 0*s**3 - 12*s**2 + 0*s + 0 - 1/210*s**7 + 1/15*s**5. Factor w(y).
-y*(y - 2)*(y - 1)*(y + 2)
Let c(p) = -2*p**4 - p**3 - 4*p**2 - 2*p + 1. Let o(k) = -25*k**4 + 470*k**3 - 15400*k**2 + 163820*k + 10. Let r(u) = 10*c(u) - o(u). What is n in r(n) = 0?
0, 32
Let k = 544996/3 - 181638. Find z, given that -2/3*z**2 - k*z + 28 = 0.
-42, 1
Let l(a) be the third derivative of -1/84*a**8 + 0*a + 11 + 8/15*a**5 - 1/5*a**6 - 16/105*a**7 + 0*a**3 + 2*a**2 + 7/6*a**4. What is s in l(s) = 0?
-7, -1, 0, 1
Factor 1900*b + 6136*b**2 - 12274*b**2 + 6143*b**2.
5*b*(b + 380)
Suppose 0 = -3*h, 118 = z - 5*h - 38. Factor 2*c + 266*c**2 - z*c**2 + 24*c**4 - 2*c**3 - 134*c**2.
2*c*(c - 1)*(c + 1)*(12*c - 1)
Suppose -32*w + 27*w = -10. Let -225*z - 126*z**2 - 87*z**2 + 8 + w - 22*z**2 = 0. Calculate z.
-1, 2/47
Let t(b) be the first derivative of b**4/4 - b**3/3 + 17*b - 24. Let d be t(0). Find o such that -3*o**2 - o**2 - d*o - 18 - 4*o + o**2 = 0.
-6, -1
Let v(f) be the first derivative of f**6/3 + 262*f**5/5 + 3943*f**4/2 - 46502*f**3/3 - 3944*f**2 + 46240*f + 2349. What is d in v(d) = 0?
-68, -1, 1, 5
Let b(j) = -6*j**3 + 15*j**2 - 9*j + 9. Let q(f) = 4 - 4*f - 372*f**2 - 3*f**3 + 193*f**2 + 186*f**2. Let k(g) = 4*b(g) - 9*q(g). Determine o so that k(o) = 0.
0, 1
Factor -t**3 + 4887*t**2 - 9714*t**2 + 721*t + 4107*t**2.
-t*(t - 1)*(t + 721)
Suppose -4*l = 3*h + 36, 0 = 2079*h - 2084*h - 6*l - 54. Suppose 3/2*w**4 - 18*w**3 - 15*w + h + 63/2*w**2 = 0. What is w?
0, 1, 10
Suppose -6832*j**3 - 6751*j**3 - 1056*j**2 + 13440*j**3 + 432 - 2412*j - 6*j**4 = 0. Calculate j.
-12, -6, 1/6
Let u(d) be the second derivative of 1/6*d**4 + 1/20*d**5 - 3*d + 0*d**2 - 10 + 0*d**3. Suppose u(h) = 0. What is h?
-2, 0
Let k(y) be the second derivative of y**8/1344 - 13*y**7/504 - 7*y**6/72 - y**4 - 2*y**3/3 + 4*y + 1. Let n(r) be the third derivative of k(r). Solve n(a) = 0.
-1, 0, 14
Suppose -96 = 7*t - 3*t + 5*d, -d = -t - 24. Let l be 1*6/t*3/(-3). Factor 1/2*p - l + 0*p**2 + 1/4*p**4 - 1/2*p**3.
(p - 1)**3*(p + 1)/4
Factor f**4 + 1269*f - 2537*f**2 + 6111 - 12244 + 6133 + 1267*f**3.
f*(f - 1)**2*(f + 1269)
Let d(h) = h**3 - 2*h**2 + h. Let j(l) = -l**4 + 3*l**3 + 3*l**2 - l - 12. Let z = -405 + 406. Let f(k) = z*j(k) - 3*d(k). Factor f(y).
-(y - 2)**2*(y + 1)*(y + 3)
Suppose 151 = 46*y - 90 + 11. Let h(p) be the second derivative of -13/22*p**4 - 20/11*p**3 + 0 + 2*p + 9/11*p**y - 12/11*p**2 - 9/55*p**6. Factor h(z).
-6*(z - 2)**2*(3*z + 1)**2/11
Let z(j) = j**2 - 14*j + 31. Let d be z(11). Let m = d - -5. Factor 17*c**m - 23 + 68*c + 108*c**2 - 1 + 0*c**3 - c**3.
4*(c + 1)*(c + 6)*(4*c - 1)
Let p(k) = -2*k**4 - 2*k**2 - k + 2. Let t(w) = 3*w**4 + 31*w**3 - 30*w**2 + w - 2. Let c(a) = 2*p(a) + 2*t(a). Let c(i) = 0. Calculate i.
-32, 0, 1
Let l = -1/4479968 + -3146057383/649595360. Let x = -5/116 - l. Factor 3/5*q**2 + 48/5 + x*q.
3*(q + 4)**2/5
Let o = 7/1187 - -117499/2374. Let y(u) be the first derivative of 1/2*u**6 - 15/2*u**4 + 6/5*u**5 - 54*u - 8*u**3 + o*u**2 - 17. Solve y(i) = 0.
-3, 1, 2
Let t be (22143/18788)/(3*12/126). Find z such that 1/2*z**2 + 0 + 5/8*z**4 + 3*z**3 + 0*z - t*z**5 = 0.
-2/3, -2/11, 0, 1
Let z = 3526 + -296179/84. Let d(o) be the second derivative of -1/14*o**3 + z*o**4 + 0 - 13*o - 1/7*o**2. Suppose d(g) = 0. Calculate g.
-2/5, 1
Let v(h) be the third derivative of -1/60*h**6 - 72*h**2 - 2/15*h**3 + 0 + 0*h - 3/50*h**5 - 7/60*h**4 - 1/525*h**7. Factor v(s).
-2*(s + 1)**3*(s + 2)/5
Let c(i) be the first derivative of -3*i**5/5 + 7*i**3 + 9*i**2 - 590. Factor c(f).
-3*f*(f - 3)*(f + 1)*(f + 2)
Suppose 0 = 2*r + 4*i - 2, 3*i - 24 = -0*r - 4*r. Solve -7 - 26 + 18*w**5 + 96*w**2 - 7 + 88*w**3 - 128*w - r*w**4 - 77*w**4 + 8 = 0.
-1, -2/9, 2
Let j(i) be the second derivative of 68*i + 0 - 9/80*i**5 + 1/2*i**3 + 1/168*i**7 + 1/12*i**4 + 0*i**2 + 0*i**6. Factor j(l).
l*(l - 2)**2*(l + 1)*(l + 3)/4
Factor 1/3*w**2 + 43*w - 132.
(w - 3)*(w + 132)/3
Let t(k) be the second derivative of k**4/6 + k**3 - 304*k**2 + 3229*k. Factor t(w).
2*(w - 16)*(w + 19)
Let n(w) be the third derivative of w**5/300 - 51*w**4/10 - 613*w**3/30 + 3*w**2 + 1133. Solve n(s) = 0.
-1, 613
Suppose -b - 13 = 3*t - 7*t, t - 3*b = -5. Let r(w) = w**2 - 3*w + 5. Let h be r(2). Find z such that -t*z**5 + z**5 + h*z**5 - z**5 + z**3 = 0.
-1, 0, 1
Factor -41334 + 41168*g + 1/6*g**3 + 995/6*g**2.
(g - 1)*(g + 498)**2/6
Factor 1215/7*u + 0 - 3/7*u**4 + 153/7*u**3 - 837/7*u**2.
-3*u*(u - 45)*(u - 3)**2/7
Let b = 47 + -39. Find x, given that -5*x**5 - 13*x - b*x**4 + 24 + 16*x**2 + 24*x**3 + x**5 - 39*x = 0.
-3, -2, 1
Factor 178540 - 129182 - 21440 + 25350*i - 243648 - 390*i**2 + 2*i**3 - 333520.
2*(i - 65)**3
Let j(r) = 7*r - 260. Let l be j(40). Suppose 7*b - 1 = l. Factor -1/9*d**b + 0 + 0*d - 1/9*d**4 + 1/9*d**2 + 1/9*d**5.
d**2*(d - 1)**2*(d + 1)/9
Let q(r) = 9*r**4 - 189*r**2 + 636*r - 642. Let b(a) = -a**4 + 4*a**2 - a - 1. Let d(u) = 6*b(u) + q(u). Find m such that d(m) = 0.
-9, 2, 3, 4
Let i(g) be the second derivative of -g**6/60 - 33*g**5/10 - 4355*g**4/24 + 11*g**3 + 1089*g**2 - 32*g + 3. Factor i(o).
-(o - 1)*(o + 1)*(o + 66)**2/2
Suppose 0 = 21*a - 145 - 2. Let t(z) = -z**2 - 2*z + 63. Let c be t(a). Factor 2*p**2 + 0 + c*p - 2/3*p**3.
-2*p**2*(p - 3)/3
Let m be 0*1/3 + 4. Suppose 8*y + 683 = 1403. Find k, given that 20*k**3 + m*k**2 - 19*k**2 - y*k + 0*k**4 + 5*k**4 = 0.
-3, 0, 2
Let b(q) = 1. Let s(t) = 3*t**2 - 53*t + 76. Let u(r) = -4*b(r) + s(r). Let d(k) = -k**2 + 18*k - 24. Let m(l) = -11*d(l) - 4*u(l). Find f such that m(f) = 0.
2, 12
Let d(s) be the third derivative of s**6/720 + 4*s**5/45 + 229*s**4/144 + 11*s**3/2 - 25*s**2 - 76. Solve d(g) = 0.
-22, -9, -1
Let i(j) be the third derivative of -j**7/12600 - j**6/45 - 8*j**5/3 - 67*j**4/6 - 149*j**2. Let n(o) be the second derivative of i(o). Factor n(y).
-(y + 40)**2/5
Let w = 549 - 540. Suppose -w*q = -13*q + 12. Let 2/7*d**q - 4/7 + 10/7*d - 8/7*d**2 = 0. What is d?
1, 2
Let l(f) = -3*f**3 - 56*f**2 + 310*f + 255. Let m be l(-23). Factor 0 - 936*y**m - 140*y**3 - 16/3*y**4 - 676/3*y.
-4*y*(y + 13)**2*(4*y + 1)/3
Let x(q) be the second derivative of -q**7/7 - 17*q**6/10 + 33*q**5/4 - 5*q**4/4 - 53*q**3/2 + 33*q**2 - 4389*q. Find r such that x(r) = 0.
-11, -1, 1/2, 1, 2
Let n(h) be the first derivative of -h**3/12 - 13*h**2/8 - 11*h/2 + 202. Determine m, given that n(m) = 0.
-11, -2
Let s be (-19 + (-2375)/(-114))*27/132. Factor 3/4 - 3/8*c - s*c**2.
-3*(c - 1)*(c + 2)/8
Let o be ((636/848)/(2/32))/4. Factor -4/7*f + 2/7*f**o + 2/7*f**2 + 0.
2*f*(f - 1)*(f + 2)/7
Factor -3/7*r**2 + 18/7*r + 0 - 3/7*r**3.
-3*r*(r - 2)*(r + 3)/7
Suppose -y - 5*h = -140, 5 = 4*h - 3*h. Suppose -119 + y = -2*k. Solve -6*l + l**k + 2 + 2*l + 2 = 0 for l.
2
Let y = -336 - -340. Let 7*j**4 + 8*j**3 - 19*j**y + 6*j**5 - 3*j**5 + j**5 = 0. What is j?
0, 1, 2
Let w(l) be the first derivative of -4*l**5/5 + 5*l**4 + 140*l**3/3 + 30*l**2 - 216*l + 536. Determine o, given that w(o) = 0.
-3, -2, 1, 9
Let g(v) = -v**3 - 10*v**2 + 6*v - 46. Suppose 323 + 7 = -30*x. Let y be g(x). Factor 1/3 - 6*o**3 + y*o**5 - 9*o**4 - 3*o + 26/3*o**2.
(o - 1)*(o + 1)*(3*o - 1)**3/3
Let l(v) = -12*v**2 + 3*v - 1. Let q(f) = -69*f**2 - 1716*f - 3486. Let k(u) = 6*l(u) - q(u). Find h such that k(h) = 0.
-2, 580
Suppose 0 = -47*l + 37*l + 50. Let j(f) be the second derivative of -f**l + 0*f**2 - 5/3*f**3 - 25/12*f**4 + 0 - 1/6*f**6 + 16*f. Factor j(z).
-5*z*(z + 1)**2*(z + 2)
Let y be ((-1807)/(-556))/((-754)/(-376) - 2). Let z = -3052/5 + y. Find d such that -9/5*d**2 + z*d