ative of -29 - 9/2*p - 1/6*p**3 + 3/2*p**2. Suppose k(m) = 0. Calculate m.
3
Suppose -2*w + 4*t - 638 = -8*w, 5*t = -4*w + 430. Determine d, given that w*d + 42 + 27 + 2 + 8*d**2 + 39 - 13*d**2 = 0.
-1, 22
Suppose 9 = -3*r, -2*r = 3*s - s - 48. Let c be (90/(-108))/((-30)/s). Let -c*q**2 - 3/2*q**3 + 0 - 3/4*q**4 + 0*q = 0. Calculate q.
-1, 0
Let o(q) be the first derivative of 21*q**4/4 + 1647*q**3 - 1773*q**2 - 1416*q - 1043. Solve o(f) = 0 for f.
-236, -2/7, 1
Suppose 0 = 75*u - 78*u - 111. Let g = u - -65. Factor 48*d**5 - 10*d**4 - 20*d**2 - 20*d**3 - 10*d - 22*d**5 - 2 - g*d**5.
-2*(d + 1)**5
Let x be 49/14 - 248/16. Let p be (-77)/(-66) - 22/x. Determine m so that 2*m + 1/4*m**p - 1 - 5/4*m**2 = 0.
1, 2
Suppose -1284 = -5*n + 11. Let y = n - 255. Find l such that 40/7*l + 2*l**3 + 36/7*l**2 + 16/7 + 2/7*l**y = 0.
-2, -1
Let t(r) be the third derivative of r**8/168 - 6*r**7/35 - 43*r**6/60 + 26*r**5/15 + 13*r**4 + 80*r**3/3 - r**2 - 457*r. Determine s so that t(s) = 0.
-2, -1, 2, 20
Suppose 0 = -b + 5*x + 47, -25*b - x = -29*b + 17. Factor 1/4*m**3 + 0 + 9/2*m - 19/4*m**b.
m*(m - 18)*(m - 1)/4
Suppose -10*j + 3*f = -14*j + 5, 2*j - f - 5 = 0. Suppose 119*x + 120*x - x**j - 217*x - 21 = 0. What is x?
1, 21
Let x(t) be the second derivative of -2 + 7*t - 1/30*t**4 + 9/5*t**2 + 0*t**3. Let x(z) = 0. What is z?
-3, 3
Let b be (((-135)/540)/((-27)/(-20)))/(4/(-24)*5). Factor -2/9*g**2 + 0 + b*g**3 - 4/9*g.
2*g*(g - 2)*(g + 1)/9
Suppose 2166/5 + 5548/5*m + 16/5*m**3 - 602/5*m**2 = 0. Calculate m.
-3/8, 19
Let u(c) be the first derivative of -c**5/60 + 7*c**4/24 + 4*c**3/3 - 104*c**2 + 238. Let x(v) be the second derivative of u(v). Factor x(s).
-(s - 8)*(s + 1)
Let x = -4267 + 8535/2. Let p(s) be the second derivative of -1/3*s**3 - 5*s + x*s**2 + 1/12*s**4 + 0. Find a, given that p(a) = 0.
1
Let i(y) be the first derivative of -3/4*y**2 + 5/6*y**3 - 1/8*y**4 - 9/2*y - 20. Suppose i(h) = 0. Calculate h.
-1, 3
Let i be ((-4)/3)/((-19)/((-513)/(-36))). Let p be (i + 53/(-26))*(-296)/222. What is o in 6/13*o**3 + p*o**2 + 0 + 4/13*o - 8/13*o**4 = 0?
-1, -1/4, 0, 2
Let k(j) be the second derivative of -j**6/30 + 4*j**5/5 - 7*j**4/6 - 8*j**3/3 + 15*j**2/2 + 2467*j. Factor k(b).
-(b - 15)*(b - 1)**2*(b + 1)
Let w(b) be the second derivative of b**5/5 + 29*b**4/3 - 668*b**3/3 + 608*b**2 - 10*b + 48. Solve w(f) = 0 for f.
-38, 1, 8
Let c be (0 + (0 - -2))/4. Let x = 902/791 - 2817/3164. Factor -c*v**3 + 3/4*v**2 + 0*v - x.
-(v - 1)**2*(2*v + 1)/4
Let r be (-50)/2 + 54 + (-102875)/(-625). Factor 8/5 + 29282/5*b**2 - r*b.
2*(121*b - 2)**2/5
Let a(x) be the second derivative of 605*x**5/8 + 55*x**4/4 - 525*x**3/4 - 125*x**2 - 632*x. Factor a(m).
5*(5*m - 4)*(11*m + 5)**2/2
Let n be 13/3 + 17/(-51). Factor -8*x**3 - 3*x**2 + 4*x**4 + 213*x - 7*x**n - 204*x + 6 - x**3.
-3*(x - 1)*(x + 1)**2*(x + 2)
Let p(j) be the second derivative of 2 + 1/12*j**6 - 1/84*j**7 + 0*j**2 - 1/6*j**3 + 7/24*j**4 - 6*j - 9/40*j**5. Factor p(m).
-m*(m - 2)*(m - 1)**3/2
Let j(u) be the second derivative of 0 + 6/5*u**2 - 1/60*u**4 + 2/15*u**3 - 127*u. Suppose j(t) = 0. What is t?
-2, 6
Let q be 2/(-8) + (-429846)/(-248). Let m = q + -1729. Factor -3/2 - 15/4*w**3 - 45/8*w + 3/8*w**5 - 15/2*w**2 + 0*w**m.
3*(w - 4)*(w + 1)**4/8
Let w be 47446/133*2/(-852)*1. Let g = 1/213 - w. Factor -2/19*k**5 + 48/19*k**2 - 44/19*k**3 + 0 + g*k**4 - 18/19*k.
-2*k*(k - 3)**2*(k - 1)**2/19
Let q(w) be the second derivative of 3*w**5/100 - 307*w**4/20 + 153*w**3/5 + 101*w + 7. Factor q(d).
3*d*(d - 306)*(d - 1)/5
Let w = 4385 - 1258498/287. Let c = 4062/287 + w. Solve -c*i - 9/7*i**3 + 57/7*i**2 + 27/7 = 0.
1/3, 3
Let f(p) be the first derivative of -6/7*p**2 + 0*p + 186 - 4/21*p**3. What is v in f(v) = 0?
-3, 0
Let y = -840 - -1321. Factor 8*n - 482*n**2 - 16 - y*n**2 + 962*n**2.
-(n - 4)**2
Let q(v) = v**2 + 55*v + 206. Let y(z) = z**2 - 5*z + 1. Let g(s) = -3*q(s) + 6*y(s). Solve g(f) = 0 for f.
-3, 68
Let z be 10/84*(5236/85)/7. Let n(r) be the first derivative of -6/7*r**2 - z*r**3 + 0*r + 5 - 3/14*r**4. Let n(l) = 0. What is l?
-3, -2/3, 0
Let q = 769/510 + -2/255. Let o(y) be the third derivative of 1/20*y**5 - q*y**4 - 10*y**2 + 0*y + 0 + 18*y**3. What is j in o(j) = 0?
6
Let c(g) be the second derivative of g**4/4 - 5*g**3/2 + 6*g**2 - 1446*g. Factor c(z).
3*(z - 4)*(z - 1)
Suppose 998*y + 60*y**2 + 2 + 578*y - 47 - 1041*y = 0. What is y?
-9, 1/12
Suppose 2*x = -k + x - 1, -28 = -4*k + 4*x. Let m(v) be the first derivative of -k + v - 7/6*v**2 + 2/9*v**3. Suppose m(a) = 0. What is a?
1/2, 3
Factor 1816/9 + 2/9*o**3 - 1210/3*o + 604/3*o**2.
2*(o - 1)**2*(o + 908)/9
Factor 92256 + 2445*o - 472*o**2 + 2292*o + 4*o**3 + 2049*o + 4578*o + 1036*o.
4*(o - 62)**2*(o + 6)
Let i(p) be the third derivative of -3 + 18*p**2 + 1/15*p**5 - 1/12*p**6 + 0*p**3 + 0*p + 0*p**4 + 1/35*p**7. Determine y so that i(y) = 0.
0, 2/3, 1
Let n(u) be the third derivative of -2/9*u**3 + 7/135*u**5 + 0*u + 0 - 108*u**2 - 25/108*u**4. Determine x, given that n(x) = 0.
-3/14, 2
Let k(h) = -h**2 - 18*h + 42. Suppose 0 = -7*v - 55 - 85. Let p be k(v). Suppose o**2 + 6*o**p - 12*o + 18 - 5*o**2 = 0. Calculate o.
3
Let o(i) be the first derivative of i**3/21 - 9*i**2/7 - 19*i/7 + 350. Solve o(l) = 0 for l.
-1, 19
Factor 92/5*y + 1058/5 + 2/5*y**2.
2*(y + 23)**2/5
Let c(i) be the third derivative of -4/9*i**3 + 0 + 1/135*i**5 - 1/54*i**4 + 0*i + 15*i**2. Find f such that c(f) = 0.
-2, 3
Let c = 266 + -264. Factor 809 - 809 + a**c - a**3.
-a**2*(a - 1)
Let v = 25403 - 25401. Let m(z) be the first derivative of 0*z - 1/4*z**4 - 9 - 2/5*z**v - 4/5*z**3. Factor m(j).
-j*(j + 2)*(5*j + 2)/5
Let o(i) = -2*i**2 + 1. Let h(q) = 17*q**2 - 765*q - 1556. Let n(v) = -h(v) - 6*o(v). Suppose n(u) = 0. Calculate u.
-2, 155
Let n(m) be the third derivative of -m**6/40 + 23*m**5/20 + m**4/8 - 23*m**3/2 - 2298*m**2. Factor n(s).
-3*(s - 23)*(s - 1)*(s + 1)
Let f(d) be the first derivative of d**4/30 - 2*d**3/15 - 28*d**2/15 + 8*d + 289. Let f(s) = 0. Calculate s.
-5, 2, 6
Let g(i) be the third derivative of -i**7/3780 + i**6/40 - 13*i**5/90 + 23*i**4/12 - 33*i**2 + i. Let r(m) be the second derivative of g(m). Factor r(p).
-2*(p - 26)*(p - 1)/3
Let l be 2/((27/45)/((-3)/(-2))). Suppose -w - l*t + 24 = 2, 0 = -2*t + 8. Find j such that -3/7*j + 2/7*j**w + 1/7 = 0.
1/2, 1
Let v(w) be the third derivative of -w**6/960 - 131*w**5/160 + 593*w**4/96 - 33*w**3/2 - w**2 - 408*w. Suppose v(s) = 0. What is s?
-396, 1, 2
Let d = -42 + -32. Let v = d - -82. Factor -322*c**3 - v*c**4 - 4*c + 324*c**3 + 2*c + 8*c**2.
-2*c*(c - 1)*(c + 1)*(4*c - 1)
Suppose 5*d - d = -3*f - 12, f - 28 = 4*d. Let b = -901/2 - -464. Factor 0 + 3/2*n**f + b*n**3 + 0*n + 12*n**2.
3*n**2*(n + 1)*(n + 8)/2
Let x(c) be the third derivative of c**6/240 - c**5/12 + c**4/3 + 181*c**2 + 4*c. Let x(v) = 0. What is v?
0, 2, 8
Factor -1/4*z**3 + 5819/4 - 1035/4*z + 57/4*z**2.
-(z - 23)**2*(z - 11)/4
Let q be (1215/(-162))/((-100)/16). Find i, given that 3/5*i - q*i**2 + 9/5 = 0.
-1, 3/2
What is m in m**5 + 12*m**5 + 51*m**4 - 7*m**5 + 72*m**3 + 45*m**2 + 42*m**3 = 0?
-5, -3, -1/2, 0
Let i(g) = 2*g**2 + 23*g + 7. Let f be i(-10). Let y be (f - 8)/(2*2/(-8)). Let y*n**3 - 5*n**4 - 67*n**3 - 1 + 1 = 0. What is n?
-1, 0
Let 0 + 2/5*q**2 - 36*q = 0. Calculate q.
0, 90
Let r be 550/(-4)*6/(-270) - (-9)/(-3). Let x(t) be the first derivative of 0*t + 0*t**2 - r*t**4 + 29 - 1/45*t**5 - 1/27*t**3. Factor x(d).
-d**2*(d + 1)**2/9
Let i be -7*(5 + 304/(-56)). Find u such that 13 + 6*u**3 + 107*u**2 - 44 - 14 - 38*u - 27 - i*u**3 = 0.
-36, -2/3, 1
Let s(l) be the second derivative of -l**5/240 + 20*l**2 - 47*l. Let v(m) be the first derivative of s(m). Factor v(i).
-i**2/4
Let i(d) be the third derivative of 1/42*d**7 + 8*d**2 + 5/4*d**4 + 0*d**3 + 0*d**6 - 7/12*d**5 + 18 + 0*d. Determine m, given that i(m) = 0.
-3, 0, 1, 2
Let u = 232 + -207. Suppose 0 = 35*y - u*y. Factor 0*g + y - 1/2*g**2 + 1/6*g**3.
g**2*(g - 3)/6
Let o(t) be the third derivative of 0 - 1/90*t**5 - 25/24*t**4 + 0*t + 19/9*t**3 - 87*t**2. Suppose o(u) = 0. Calculate u.
-38, 1/2
Find i, given that -43687/4*i + 151/4*i**3 + 5135/4*i**2 + 0 + 1/4*i**4 = 0.
-79, 0, 7
Let j = -40 + 608. Let i be (-4)/3*(-71)/j. Factor -2*z - 4/3*z*