 4/14 + (-23)/11592*18 + 78/72. Suppose -8/3 + 8/3*p**2 - b*p + 4/3*p**3 = 0. Calculate p.
-2, -1, 1
Let o(f) be the third derivative of f**8/1008 - 2*f**7/105 + 3*f**6/20 - 28*f**5/45 + 35*f**4/24 - 2*f**3 - 30*f**2 + 3. Let o(b) = 0. Calculate b.
1, 3, 4
Let c(z) be the second derivative of -5/6*z**3 + 1/60*z**5 - 67*z + 0 - 7/18*z**4 + 0*z**2. Factor c(u).
u*(u - 15)*(u + 1)/3
Let m = 11 - 11. Let b be (0 - 1)/(3/(-21) - m). Find h, given that 3 - 24*h**2 - b - 4*h**4 + 46*h - 16*h**3 - 62*h = 0.
-1
What is i in 3358/5*i**3 - 3038/5*i**2 + 2/5*i**5 - 162/5*i**4 + 640 - 672*i = 0?
-1, 1, 40
Let a(q) = 9*q**2 - 621*q + 30. Let c(l) = l**2 - l - 97. Let m(j) = -a(j) + 6*c(j). What is r in m(r) = 0?
1, 204
Suppose -57 + 127 = -14*k. Let f be (11/k - -2) + 897/585. Factor 40/3 + 44/3*n + f*n**2.
4*(n + 1)*(n + 10)/3
Let p(b) = 6*b**2 + 84*b + 288. Let l be p(-8). Factor 10/3*f - 25/3*f**4 + 20*f**3 + l - 15*f**2.
-5*f*(f - 1)**2*(5*f - 2)/3
Let k(l) be the first derivative of -l**4/84 - 19*l**3/21 - 361*l**2/14 - 219*l + 100. Let c(h) be the first derivative of k(h). Suppose c(z) = 0. Calculate z.
-19
Let g = -192004 + 192006. Factor 72/11*y + 648/11 + 2/11*y**g.
2*(y + 18)**2/11
Suppose 0 = 308*h - 613*h - 264*h - 545*h. Factor 4/19*m**2 + h - 16/19*m + 2/19*m**3.
2*m*(m - 2)*(m + 4)/19
Let z(w) be the third derivative of w**6/60 + 51*w**5/10 + 1925*w**4/4 - 5929*w**3/3 - w**2 - 158. Factor z(c).
2*(c - 1)*(c + 77)**2
Let q(n) be the second derivative of 3/16*n**4 - n - 3 + 1/120*n**6 + 7/24*n**3 + 1/16*n**5 + 1/4*n**2. Factor q(l).
(l + 1)**3*(l + 2)/4
Let b = 106 + -60. Suppose -104*q + 35*q**2 + 16 - 39*q**2 + b*q**3 + 52*q**3 + 18*q**2 + 126*q**2 = 0. Calculate q.
-2, 2/7
Let r = -161575 + 646303/4. Find v, given that 1/2*v**4 + 5/4*v**3 + 0 - v**2 - r*v = 0.
-3, -1/2, 0, 1
Let n be (-7)/(-3) + 672/63. Let z(v) be the second derivative of -n*v + 0 + 1/3*v**4 + 0*v**2 - 4/3*v**3. Factor z(x).
4*x*(x - 2)
Let b(x) be the third derivative of -x**7/1050 + 271*x**6/600 - 539*x**5/300 + 269*x**4/120 - 8*x**2 + 43*x. What is l in b(l) = 0?
0, 1, 269
Let x(l) = -70*l**2 + 85*l. Let k(v) = 5*v**2 - 6*v. Suppose -10*d + 9*d = -267. Suppose 8*z + 707 = d. Let c(u) = z*k(u) - 4*x(u). Let c(h) = 0. What is h?
0, 2
Let t = -17124 + 17124. Let i(w) be the third derivative of -45*w**2 + 2/45*w**3 + 0 - 1/60*w**4 + 1/450*w**5 + t*w. Suppose i(u) = 0. Calculate u.
1, 2
Factor -8*h**3 - 111502*h - 118336 - 83044*h - 43502*h - 2756*h**2.
-4*(h + 172)**2*(2*h + 1)
Suppose 0 = 7*z - 1000 - 92. Suppose z*t - 2 = 155*t. What is u in 2/15*u + 0 - 2/3*u**t = 0?
0, 1/5
Let t(i) be the second derivative of i**6/6 - 5*i**5/4 + 5*i**4/3 + 541*i. Determine w, given that t(w) = 0.
0, 1, 4
Suppose 0 = -7*s + 2*x + 2, -3*x = -3*s + 2 + 1. Factor -2/13*q**3 + s + 2/13*q**2 + 4/13*q.
-2*q*(q - 2)*(q + 1)/13
Factor 1756/5*n**2 - 2/5*n**3 - 76736*n - 154880.
-2*(n - 440)**2*(n + 2)/5
What is o in 4*o**4 + 1600 - 35806345*o**3 + 2440*o + o**4 + 1260*o**2 + 35806575*o**3 = 0?
-40, -2
Let d = -2388/103 + 12146/515. Determine b, given that -2/5*b**2 + d*b + 12/5 = 0.
-2, 3
Let w(t) be the third derivative of 110/3*t**3 + 0*t - 35/2*t**4 - 1 + 48*t**2 - 21/4*t**5 - 5/24*t**6. Factor w(i).
-5*(i + 2)*(i + 11)*(5*i - 2)
Let u be ((-1 - -5) + 6)*5. Factor 0 - 123*z**3 - 95*z**2 - u*z + 23*z**3 - 50*z**2 - 5.
-5*(z + 1)*(4*z + 1)*(5*z + 1)
Suppose 0 = -2*j + 4*j - 3*p - 11, -13 = -2*j + 5*p. Let -j*f**2 + 4*f**2 + 2*f**2 - f**2 + 18*f + 2*f**2 = 0. Calculate f.
-6, 0
Let j = 0 + 40. Let y be 82/16 - 5/j. What is l in 15 + 4*l + 5*l - 2*l - y*l**2 + 3*l = 0?
-1, 3
Solve -62*c**4 - 77*c**3 + 54*c**4 - 25*c**3 + 7*c**3 - 97*c**3 + 2*c**5 = 0.
-8, 0, 12
Let g(d) be the first derivative of d**5/75 - 8*d**4/15 + 2*d**3 + 43*d**2/2 + 34. Let t(p) be the second derivative of g(p). Let t(l) = 0. Calculate l.
1, 15
Let i be (-690)/46*8/(-72). Let x(c) be the second derivative of 2/15*c**6 + 0*c**2 + 2*c**3 - 29*c + 1/5*c**5 + 0 - i*c**4. Solve x(t) = 0 for t.
-3, 0, 1
Let g(d) be the third derivative of d**5/20 - 33*d**4/4 + 549*d**3 - 3*d**2 + 52*d. Let t(i) = 3. Let o(p) = -g(p) + 9*t(p). Factor o(n).
-3*(n - 33)**2
Find z such that -34*z**3 - 128*z**2 + 4658*z - 7200 + 36*z**3 - 2378*z = 0.
4, 30
Solve -24*v**3 - 8*v - 4*v**2 - 7*v**4 - 27*v - 105*v**2 - 49*v + 8*v**4 = 0 for v.
-3, -1, 0, 28
Let g = 1413 + -12683/9. Let d = -35223005/9 - -3913685. Let d*z + 2/9*z**3 - g*z**2 - 128/9 = 0. What is z?
1, 8
Let q be (3 - (-27)/(-15))/((-7191)/(-7990)). Factor -q*c**3 - 7*c**2 - 6*c + 9.
-(c + 3)**2*(4*c - 3)/3
Let m(v) = -v**3 - 16*v**2 + 41*v - 18. Let l(j) = -3 - j**3 - 3 - 6 + 40*j + 4*j**2 - 19*j**2 - 5. Let c(t) = -6*l(t) + 7*m(t). Factor c(s).
-(s - 1)**2*(s + 24)
Suppose 12*o = 56*o + 528. Let p be (-111)/(-63) - o/(-28). What is g in 2*g + 4/9 - 10/9*g**3 - p*g**2 = 0?
-2, -1/5, 1
Suppose 0 = -10*n + 18 - 8. Let x be -1 - (61 - 69 - (-4)/n). What is z in -4/5*z**x - z**2 + 0 - 1/5*z**4 - 2/5*z = 0?
-2, -1, 0
Let n(w) be the second derivative of w**4/96 + 1073*w**3/48 - 4530*w. Factor n(s).
s*(s + 1073)/8
Let m(b) be the first derivative of -b**3/3 + 233*b**2 + 936*b + 13874. Suppose m(k) = 0. Calculate k.
-2, 468
Let j(w) be the second derivative of w**8/2240 + w**7/420 - w**6/240 - w**5/20 - 5*w**4/12 - w**2 - 40*w. Let l(z) be the third derivative of j(z). Factor l(r).
3*(r - 1)*(r + 1)*(r + 2)
Let t(l) be the third derivative of 1/120*l**6 + 3/4*l**4 + 11/60*l**5 + 0*l**3 - 148*l**2 + 0 + 0*l. Factor t(w).
w*(w + 2)*(w + 9)
Let v(l) be the third derivative of 2*l**6/15 - 11*l**5/3 - 7*l**4/3 + l**2 - 870*l. Factor v(n).
4*n*(n - 14)*(4*n + 1)
Let q(v) be the second derivative of -3 - 6845/2*v**2 - 5/12*v**4 + 185/3*v**3 + 18*v. Find j such that q(j) = 0.
37
Suppose 14*f - 25*f + 3 + 52 = 0. Let l(n) be the second derivative of 20*n + 0*n**2 + 0*n**3 + 1/48*n**4 + 0 + 1/80*n**f. Factor l(g).
g**2*(g + 1)/4
Find w such that -1791*w + 6*w**3 - 7*w**3 - 1767*w + 3259*w - 845 - 31*w**2 = 0.
-13, -5
Solve -451920*a - 2822000*a**3 - 1760625*a**4 - 20613 + 3125*a**5 - 1102840*a**2 - 24587 - 591360*a**2 = 0 for a.
-2/5, 565
Let o = 259 - 235. Find d, given that -73*d**2 - 16*d**5 - 164*d + o - 12*d**5 + 176*d**4 - 384*d**3 + 217*d**2 + 232*d**2 = 0.
2/7, 1, 3
Solve 3*z**4 - 1225*z**2 + 3*z**4 + 23*z**3 - 7*z**3 + 54*z**3 - 7*z**4 = 0 for z.
0, 35
Let p(a) be the third derivative of a**6/80 + 13*a**5/80 - 9*a**3/2 - 149*a**2. Factor p(k).
3*(k + 2)*(k + 6)*(2*k - 3)/4
Let i(z) be the third derivative of z**5/15 + 414*z**4 + 1028376*z**3 - 6341*z**2. Determine g, given that i(g) = 0.
-1242
Let i be ((-341)/88 + 4)/6. Let o(g) be the third derivative of 0*g + 0 + 1/240*g**5 - i*g**4 - 18*g**2 + 1/24*g**3. Factor o(p).
(p - 1)**2/4
Let v(t) be the third derivative of 0 - 1/150*t**5 - 29/60*t**4 - 28/15*t**3 + 18*t + 2*t**2. Suppose v(k) = 0. Calculate k.
-28, -1
Let f(d) be the third derivative of -d**8/168 - 73*d**7/315 + 53*d**6/180 + 73*d**5/90 - 25*d**4/18 - 9*d**2 + 40*d + 1. Determine j, given that f(j) = 0.
-25, -1, 0, 2/3, 1
Let w(j) be the third derivative of 0 + 2*j - 2/9*j**4 - 61*j**2 - 26/27*j**3 + 1/135*j**5. Factor w(n).
4*(n - 13)*(n + 1)/9
Let t be 3350/(-75) - 1/3. Let o be 6096/5 + (-36)/t. Factor 15*c**4 - o*c**2 - 140*c**4 - 72 - 1440*c + 900*c**3 - 248.
-5*(c - 4)**2*(5*c + 2)**2
Let b be 805/385 + 2/(-22). Solve -14/3*r - 4 - 2/3*r**b = 0.
-6, -1
Let j(r) be the third derivative of r**7/42 - 23*r**6/12 + 181*r**5/12 + 3335*r**4/2 + 25230*r**3 + 164*r**2 - 3*r. Suppose j(x) = 0. What is x?
-6, 29
Suppose -5*w + 2*l = 27, -38 = 5*w + 2*l - 15. Let j be 126/44 + w + (-5)/(-2). Factor 0 - 2/11*n**2 - j*n + 2/11*n**3.
2*n*(n - 2)*(n + 1)/11
Let q(m) be the third derivative of m**6/210 + 1126*m**5/105 + 159046*m**4/21 + 1263376*m**3/21 + 4146*m**2. Factor q(o).
4*(o + 2)*(o + 562)**2/7
Let 662*u - 428*u - 2448 - 3*u**2 + 591*u = 0. What is u?
3, 272
Let c(j) be the second derivative of -j**5/10 - 41*j**4/6 - 104*j**3/3 + 7436*j**2 + 2533*j. Factor c(f).
-2*(f - 11)*(f + 26)**2
Suppose 0 = -j + m - 68, 0*m - 2*m - 333 = 5*j. Let r = j - -69. Solve -831*u + 6*u**4 + 4*u**3 + 815*u - 16*u**2 - r*u**4 = 0.
-2, -1, 0, 2
Let p(c) be the third derivative of 93*c**2 - 1/189*c**7 + 0*c