9)). Factor 0 + g*a**2 - 15/2*a.
3*a*(9*a - 10)/4
Let q = -35646 - -392116/11. Factor 48/11 - 2/11*l**2 - q*l.
-2*(l - 3)*(l + 8)/11
Let t(v) be the first derivative of 0*v + 1/21*v**4 + 0*v**2 + 3*v**3 - 1/105*v**5 + 1/1260*v**6 + 10. Let y(s) be the third derivative of t(s). Factor y(b).
2*(b - 2)**2/7
Let m(u) = 15*u**2 - 1005*u - 1056. Let b(k) = 3*k**2 - 12. Let o(a) = 4*b(a) - m(a). Factor o(q).
-3*(q - 336)*(q + 1)
Suppose 1002*i + 5784 = 2930*i. Factor -5/3*w**i - 1/3*w**4 + 0 + 8/3*w - 2/3*w**2.
-w*(w - 1)*(w + 2)*(w + 4)/3
Let d(g) = -6*g**2 - 39*g + 38. Let i be d(-7). Let p(z) be the first derivative of 1/2*z + 3/8*z**2 + i + 1/12*z**3. Solve p(w) = 0 for w.
-2, -1
Let j(u) = 2*u + 91. Let y be j(13). Factor -38*w**2 - 7 + 2 - y*w**2 - 160*w.
-5*(w + 1)*(31*w + 1)
Let n(o) be the first derivative of -1/4*o**3 - 6 - o + 7/8*o**2. Factor n(s).
-(s - 1)*(3*s - 4)/4
Let p(a) be the first derivative of -9*a**4/28 - 61*a**3/7 - 192*a**2/7 - 108*a/7 + 3254. What is y in p(y) = 0?
-18, -2, -1/3
Let b(v) be the third derivative of v**5/180 - v**4/24 - 5*v**3/9 - 33*v**2 + 5. Factor b(q).
(q - 5)*(q + 2)/3
Let t(s) = -2*s**2 + 1338*s + 6743. Let f be t(-5). Factor 3/2*p**2 + 1/2*p**f - 2*p - 6.
(p - 2)*(p + 2)*(p + 3)/2
Let v(i) be the third derivative of -7/135*i**5 - 7/540*i**6 + 0*i**3 - 1/945*i**7 + 0*i - 154*i**2 + 0 - 2/27*i**4. Determine g so that v(g) = 0.
-4, -2, -1, 0
Let h = -78/137 - -293/274. Let -2 - 1/2*z**3 + 2*z**2 + h*z = 0. What is z?
-1, 1, 4
Let f(n) be the first derivative of -2/3*n**3 + 0*n + 2/5*n**5 - 3/4*n**2 + 1/12*n**6 - 14 + 1/4*n**4. Find a such that f(a) = 0.
-3, -1, 0, 1
Factor 0*t + 2/3*t**5 + 20/3*t**4 + 16*t**2 + 0 + 56/3*t**3.
2*t**2*(t + 2)**2*(t + 6)/3
Let s(w) be the first derivative of -2*w**5/35 + w**4/7 + 32*w**3/21 - 32*w**2/7 - 2643. Factor s(o).
-2*o*(o - 4)*(o - 2)*(o + 4)/7
Let r(i) be the third derivative of -1/300*i**6 + 0*i - 169/60*i**4 + 0 + 58*i**2 - 13/75*i**5 + 0*i**3. Factor r(v).
-2*v*(v + 13)**2/5
Suppose -35325 = -19*g - 6*g. Suppose -1407*z = -g*z + 18. Suppose -4/3*t + 2/3*t**4 + 0*t**z - 2*t**2 + 0 = 0. What is t?
-1, 0, 2
Let u(z) be the first derivative of 4*z**5/5 + 10*z**4 + 116*z**3/3 + 64*z**2 + 48*z + 1030. Let u(i) = 0. Calculate i.
-6, -2, -1
Let u(v) be the first derivative of 8/39*v**3 - 1/26*v**4 - 180 + 0*v - 3/13*v**2. Factor u(n).
-2*n*(n - 3)*(n - 1)/13
Let t(c) be the third derivative of -c**6/1020 + 41*c**5/170 + 83*c**4/68 + 125*c**3/51 + 1076*c**2. Factor t(b).
-2*(b - 125)*(b + 1)**2/17
Suppose -3*o = 2*h - 91, 5*o - 10 = 4*h + 127. Suppose 43*f = -127*f + 510. Determine d so that 14 + 43*d - f*d**2 - 23*d - o*d + 16 = 0.
-5, 2
Suppose -42*o + 16 = 29*o - 126. Let l = -794 + 3982/5. Factor -l*u + 0 + 2/5*u**o.
2*u*(u - 6)/5
Let l(z) be the third derivative of z**6/1140 + 3*z**5/19 - 157*z**4/76 + 20*z**3/3 - 2113*z**2. Let l(a) = 0. What is a?
-95, 1, 4
Let q(c) be the third derivative of 40*c**2 + 1/945*c**7 + 2 + 1/90*c**6 + 2/45*c**5 + 0*c + 2/27*c**4 + 0*c**3. Find h, given that q(h) = 0.
-2, 0
Let r(i) = 555*i**2 + 4*i - 18. Let l be r(-10). Factor -l + 5*v**3 - 85*v + 55442 - 80*v**2.
5*v*(v - 17)*(v + 1)
Let a = 795 - 797. Let d be a/7 - 1035/(-315). Let 3/5*f**2 - 18/5*f**d - 3/5 + 18/5*f = 0. Calculate f.
-1, 1/6, 1
Let h = -917867 + 1835737/2. Suppose 30*y**2 - 45/2*y + h*y**5 + 0*y**4 - 15*y**3 + 6 = 0. Calculate y.
-4, 1
Find v, given that 700*v + 0 - 20*v**2 + 1/7*v**3 = 0.
0, 70
Let l be ((-259)/(-14) - 8)*(-116)/(-3). Let t = l - 1217/3. Solve 0 + t*g + 4/9*g**4 + 8/9*g**3 - 11/9*g**2 = 0.
-3, 0, 1/2
Determine q, given that 116*q**3 + q**2 - 112*q + 128 + 12*q**2 - 5*q**2 - 112*q**3 + 8*q**2 = 0.
-8, 2
Let s be ((-384)/720)/(196/(-70)). Factor 2/7*v**2 - 8/21*v - 2/21*v**4 - 8/21 + s*v**3.
-2*(v - 2)**2*(v + 1)**2/21
Let d(r) be the third derivative of r**5/80 + 7*r**4/4 - 305*r**3/8 + 2*r**2 - 2010. Let d(q) = 0. What is q?
-61, 5
Let b(k) be the first derivative of 2*k**5/85 + 8*k**4/17 + 46*k**3/51 - 316*k**2/17 + 792*k/17 + 747. Determine q so that b(q) = 0.
-11, -9, 2
Let k be (-4)/5 - 4598/(-1815)*(-6)/(-4). Let n(v) be the second derivative of 1/150*v**5 - 1/45*v**4 + 6*v + 1/45*v**k + 0 + 0*v**2. Find i such that n(i) = 0.
0, 1
Let h(u) be the second derivative of u**4/20 + 32*u**3 + 957*u**2/10 + 621*u. Factor h(k).
3*(k + 1)*(k + 319)/5
Let d be (-62)/2*(2/(-2))/1. Determine v so that -13*v**2 + 3 - 3*v + 2*v**3 + 51*v - 4 - d - 5*v**2 = 0.
1, 4
Let c(p) be the third derivative of -p**6/40 + 11*p**5/4 + 7*p**4 + 2*p**2 - 1231. Factor c(b).
-3*b*(b - 56)*(b + 1)
Suppose 0 = 3*g + 4 - 1, 34 = 5*m + g. Suppose -12 = m*z - 26. Factor -z*o + 0*o + 5299*o**2 - 3 - 5298*o**2.
(o - 3)*(o + 1)
Let t be 8/6*21/(-14). Let a(w) = w**2 - 32*w - 229. Let b(m) = -4*m**2 + 97*m + 689. Let r(o) = t*b(o) - 7*a(o). Suppose r(j) = 0. Calculate j.
-15
Let r(y) be the third derivative of y**6/40 - 19*y**5/30 + 35*y**4/8 - 9*y**3 + 1357*y**2. Let r(q) = 0. What is q?
2/3, 3, 9
Let v(y) be the first derivative of 69*y**5/20 + 209*y**4/16 + 12*y**3 + y**2/2 + 889. Find w, given that v(w) = 0.
-2, -1, -2/69, 0
Let l(h) be the first derivative of 5*h**6/6 + 39*h**5 - 205*h**4/4 - 65*h**3 + 100*h**2 - 1513. Determine g so that l(g) = 0.
-40, -1, 0, 1
Let c = -4109118/11 + 373950. Factor -54872/11*a + 2/11*a**4 + 260642/11 + c*a**2 - 152/11*a**3.
2*(a - 19)**4/11
Let y(j) be the third derivative of -j**6/360 - 19*j**5/60 + 13*j**4/8 - 17*j**3/6 - j**2 + 17. Let g(p) be the first derivative of y(p). Factor g(t).
-(t - 1)*(t + 39)
Let f = 797912 + -797910. Factor 2 - 3/2*p + 1/4*p**f.
(p - 4)*(p - 2)/4
Let s be ((-78)/52)/((-6)/32). Suppose s*m + 10 = 10*m. Let -5*q**2 - 34*q**5 + 5*q**4 + 17*q**5 + 14*q**m - 2*q + 5*q**3 = 0. Calculate q.
-1, -1/3, 0, 1, 2
Let a(z) be the second derivative of -3*z**5/140 + 39*z**4/7 - 93*z + 2. Determine o, given that a(o) = 0.
0, 156
Let c = -622 + 642. Factor 2*k**4 - 86 + 3*k - 2*k**3 + 134 - k - c*k**2 - k + 7*k.
2*(k - 3)*(k - 2)*(k + 2)**2
Let v(y) be the second derivative of 5/24*y**4 + 1/6*y**3 - 4 + 0*y**2 + 6*y - 1/60*y**6 - 1/84*y**7 + 3/40*y**5. Factor v(o).
-o*(o - 2)*(o + 1)**3/2
Suppose -2*x - 14 = 4*g, 3*x - 347*g + 342*g - 34 = 0. Solve -3/4*f**2 - x - 3*f = 0.
-2
Suppose -4*i - n = -6*n - 54, 4*n - 47 = -5*i. Let q be (-23)/(-253) + (-1)/i. Factor 0 + 0*d**2 - 1/4*d**5 + 0*d + q*d**4 + 0*d**3.
-d**5/4
Factor 9/2*c - 47/5 + 1/10*c**2.
(c - 2)*(c + 47)/10
Let o(f) = 4*f**4 - 96*f**3 - 12*f**2 + 292*f + 200. Let a(j) = 28*j**4 - 670*j**3 - 84*j**2 + 2044*j + 1400. Let h(x) = -2*a(x) + 15*o(x). Factor h(y).
4*(y - 25)*(y - 2)*(y + 1)**2
Let a(b) be the first derivative of 0*b + 67 + 1/21*b**3 + 1/7*b**2. Factor a(n).
n*(n + 2)/7
Let q(p) be the second derivative of 0*p**4 + 0 + 2/15*p**6 - 2*p**2 + 27*p + 2/5*p**5 - 4/3*p**3. Find w, given that q(w) = 0.
-1, 1
Factor -357*m - 6*m**3 - 13*m - 12*m**3 + 195*m**2 + 13*m**3.
-5*m*(m - 37)*(m - 2)
Solve 1/3*a**2 - 338/3*a + 28561/3 = 0.
169
Let o(y) = 7*y - 28. Let u be o(8). Suppose 8*j - 12 = u. Solve -4*t - 2*t - 7*t**4 + 27*t**2 - 20*t**4 - 15*t**3 + 21*t**j + 0*t**2 = 0.
-1, 0, 2/7, 1
Let r(j) be the third derivative of -j**6/200 - 18*j**5/25 - 1581*j**4/40 - 961*j**3 - 516*j**2. Determine z so that r(z) = 0.
-31, -10
Determine p, given that 144*p - 39*p**2 + 143*p**3 - 539*p**2 + 148*p**3 - 283*p**3 = 0.
0, 1/4, 72
Let d(i) be the second derivative of i**5/70 - 19*i**4/14 - 39*i**3/7 - 59*i**2/7 - i - 546. Factor d(n).
2*(n - 59)*(n + 1)**2/7
Let z(n) be the second derivative of 97*n + 3/10*n**5 + 1/14*n**7 - 3/10*n**6 + 0*n**2 + 0 + 0*n**4 + 0*n**3. Factor z(b).
3*b**3*(b - 2)*(b - 1)
Let w(y) be the first derivative of -81*y**4/16 + 569*y**3/12 - 493*y**2/4 + 6*y + 5748. Factor w(v).
-(v - 4)*(v - 3)*(81*v - 2)/4
Let i = -1591371 - -11139605/7. Factor 0 + 4/7*d**4 + 0*d + i*d**3 - 32/7*d**2.
4*d**2*(d - 2)*(d + 4)/7
Let c(o) be the third derivative of -10/3*o**4 + 2 + 0*o - 16/3*o**3 - 2/5*o**5 + 14*o**2 + 3/10*o**6. Let c(f) = 0. Calculate f.
-2/3, 2
Let o(l) be the first derivative of -9*l**4/4 - 58*l**3 + 60*l**2 - 1597. Factor o(d).
-3*d*(d + 20)*(3*d - 2)
Find t such that 2/5*t**3 + 19008*t + 186624/5 + 868/5*t**2 = 0.
-216, -2
Solve 5*f + 4/3*f**4 - 19/3