 = -11*g + 79. Let r be k(y). Let 0*j + 0*j**r + 0 - 8/3*j**4 + 0*j**3 + 2/3*j**5 = 0. Calculate j.
0, 4
Let 0 + 403/2*t**2 + 5/2*t**4 - 211/2*t**3 - 99*t + 1/2*t**5 = 0. What is t?
-18, 0, 1, 11
Let y be 2/(6/69) + 6/(-2). Suppose -12 - y*l + l**2 - 5*l**2 + 5*l**3 + 0*l**3 - l**3 = 0. Calculate l.
-1, 3
Let n(s) be the second derivative of -s**4/21 - 2*s**3/7 + 80*s**2/7 - s + 528. Factor n(o).
-4*(o - 5)*(o + 8)/7
Let n(t) = 1567*t + 7837. Let j be n(-5). Solve 0 - a + 1/3*a**j = 0 for a.
0, 3
Let b be 2438/184 + 2/(-8). Factor 29*q**2 - 2*q**5 + 12*q**4 + b*q - 10*q**4 + 25*q + 4 + 23*q**2 + 6 + 28*q**3.
-2*(q - 5)*(q + 1)**4
Let v be 1017/6780*16/3. Let m(t) be the first derivative of -2/15*t**3 - 11 - v*t - 3/5*t**2. Determine o, given that m(o) = 0.
-2, -1
Let w(m) = -2*m**3 + 12*m**2 + 742*m - 776. Let l(h) = 2*h**3 - 6*h**2 - 741*h + 775. Let k(q) = 4*l(q) + 5*w(q). Factor k(n).
-2*(n - 30)*(n - 1)*(n + 13)
Suppose 3*t - 97 = 5*z, -t + 15 + 8 = -4*z. Suppose -18*l - 3 = -t. Determine v so that 10/3 - 10/3*v + 5/6*v**4 - 5/2*v**l + 5/3*v**3 = 0.
-2, 1
Let p(d) be the third derivative of d**6/150 + 2*d**5/75 - 7*d**4/6 - 1983*d**2. Factor p(f).
4*f*(f - 5)*(f + 7)/5
Let k(x) be the second derivative of 121/42*x**3 - 33*x + 11/84*x**4 + 15*x**2 + 0 + 1/420*x**5. Let v(a) be the first derivative of k(a). Factor v(y).
(y + 11)**2/7
Let k(t) be the first derivative of -29/9*t**4 - 32/3*t**2 - 14 + 7/30*t**5 + 128/9*t**3 - t. Let h(s) be the first derivative of k(s). Factor h(c).
2*(c - 4)**2*(7*c - 2)/3
Let r(j) be the first derivative of -j**4/14 - 356*j**3/21 + 911*j**2/7 - 1464*j/7 - 11999. Factor r(o).
-2*(o - 4)*(o - 1)*(o + 183)/7
Determine z, given that -390963 - 3/4*z**4 - 1555191/4*z**2 - 2163/2*z**3 + 780843*z = 0.
-722, 1
Determine g so that -22*g + 14/9*g**5 + 148/9*g**2 + 8 - 20/3*g**4 + 8/3*g**3 = 0.
-12/7, 1, 3
Suppose 0 = -13*y - 1668 + 1694. Suppose 16 = -s + 4*q, -y*s = 2*q - 23 + 5. Suppose 0 + 17/5*a**3 - 16*a**2 + 64/5*a - 1/5*a**s = 0. What is a?
0, 1, 8
Let w(j) be the second derivative of 16*j**7/189 - 536*j**6/45 + 37489*j**5/90 + 24388*j**4/9 + 132496*j**3/27 + 2*j + 6. Find h, given that w(h) = 0.
-7/4, 0, 52
Suppose 3*i = -h + 56, 5 - 3 = i - 3*h. Let m = i + -15. What is p in 0*p**3 - 4*p**4 - 3*p**5 - 4*p**2 + 6*p + p**4 + 19*p**m + 9*p**3 = 0?
-1, 0, 2
Let i(j) be the second derivative of 92/21*j**3 - 1/21*j**4 - 2 - 1058/7*j**2 + 79*j. Factor i(n).
-4*(n - 23)**2/7
Let g(s) be the third derivative of -s**7/4200 - 7*s**6/450 + 73*s**3/6 + 47*s**2. Let u(i) be the first derivative of g(i). Factor u(t).
-t**2*(t + 28)/5
Let u be (-231)/(-63)*(6/(-9) + 3/((-495)/(-680))). Factor -1/3*f**2 + u*f - 361/3.
-(f - 19)**2/3
Find y such that -1/4*y**3 - 50*y + 0 - 201/4*y**2 = 0.
-200, -1, 0
Let m(a) be the second derivative of a**5/90 - a**4/18 - 35*a**3/9 - 325*a**2/9 + 2866*a. Factor m(b).
2*(b - 13)*(b + 5)**2/9
Let i(b) be the first derivative of 4*b**5/5 - 109*b**4 + 424*b**3 + 8*b**2 - 1696*b - 2247. Factor i(j).
4*(j - 106)*(j - 2)**2*(j + 1)
Let t(l) = 3*l**2 + 5*l - 29. Let d(p) = p**2 + 2*p - 9. Suppose 3*s - 25 = i, 4*s + s - 51 = 4*i. Let g(h) = s*d(h) - 2*t(h). Let g(u) = 0. What is u?
-5, 1
Let u(r) be the first derivative of r**6/6 + 24*r**5/5 + 43*r**4/2 + 124*r**3/3 + 81*r**2/2 + 20*r - 6435. Find x, given that u(x) = 0.
-20, -1
Let d(n) = 5*n**3 - n**2 - n + 1. Let c be d(1). Factor 28*w**3 + 4*w**2 - 7*w**5 - 7*w**4 + 3*w**5 - 24*w**3 + 3*w**c.
-4*w**2*(w - 1)*(w + 1)**2
Let r be 1 - ((-4)/(-32) - (-65)/120). Let q = 2/21 + r. Factor -27/7*g**3 - 45/7*g**2 + 75/7*g - q*g**4 + 0.
-3*g*(g - 1)*(g + 5)**2/7
Suppose -5*v - 5*y = 65, -2*y - 30 = 5*v - 4*y. Let a be (v/15)/(12/(-15)). Factor 1/3*i**4 + 0*i - a*i**3 + 0 + 1/3*i**2.
i**2*(i - 1)**2/3
Let n(b) be the first derivative of b**6/2 + 42*b**5/5 + 201*b**4/4 + 146*b**3 + 222*b**2 + 168*b + 997. Find z such that n(z) = 0.
-7, -2, -1
Factor 47 + 1115*j**3 + 2265*j**2 - 42*j**4 + 37*j**4 - 528*j - 2847*j - 47.
-5*j*(j - 225)*(j - 1)*(j + 3)
Find f, given that 0 + 4/5*f**2 + 0*f + 84/5*f**4 - 34*f**3 = 0.
0, 1/42, 2
Determine b so that -2125/6 - 5/6*b**2 + 75*b = 0.
5, 85
Factor -13/4*y + 9/2*y**2 - 5/4.
(y - 1)*(18*y + 5)/4
What is y in 305/8*y + 9/4*y**2 - 17/8 = 0?
-17, 1/18
Solve -1239 + 1030*v - v**2 + 0*v**2 - 1186*v + 4*v**2 = 0 for v.
-7, 59
Suppose 0 = 7*l + 71 - 85. Let 80 - 8*n + 86 - 14*n**2 - l*n**3 - 142 = 0. What is n?
-6, -2, 1
Suppose -17 - 1 = -9*t. Suppose -10*y**2 + 40*y**t - y**3 - 30*y**4 - 5*y + 6*y**3 = 0. What is y?
-1, 0, 1/6, 1
Let h be ((-66)/891 - 4/(-54)) + 250/12. Let i(f) be the second derivative of -h*f**2 - 8*f - 25/6*f**3 + 0 - 1/60*f**5 - 5/12*f**4. Factor i(l).
-(l + 5)**3/3
Let u(v) be the first derivative of v**4/14 - 40*v**3/21 + 69*v**2/7 + 180*v/7 - 3229. Find a, given that u(a) = 0.
-1, 6, 15
Let v(w) be the first derivative of 0*w + 2/57*w**3 + 0*w**2 + 2 + 1/38*w**4. Solve v(q) = 0 for q.
-1, 0
Let j(d) be the second derivative of 19/15*d**4 + 0*d**2 - 25*d + 4/15*d**3 + 32/25*d**5 + 0 + 2/5*d**6. Suppose j(p) = 0. What is p?
-1, -2/15, 0
Factor 75/8*t**3 - 21/4*t**4 + 0 + 9/4*t**2 + 0*t.
-3*t**2*(t - 2)*(14*t + 3)/8
Let h(t) be the second derivative of -1/210*t**5 - 1/42*t**4 + 0 - 17/2*t**2 + 14*t + 1/7*t**3. Let z(j) be the first derivative of h(j). Factor z(d).
-2*(d - 1)*(d + 3)/7
Let q = 1009296 - 3027788/3. Factor -q + 4*w**2 - 296/3*w.
4*(w - 25)*(3*w + 1)/3
Suppose 94*y + 21*y + 4890 = 930*y. Factor y - 3/4*b**2 - 21/4*b.
-3*(b - 1)*(b + 8)/4
Let n = -18544804/7432113 + -7/69459. Let b = 1/214 - n. Factor -3/2*u**3 + u + 0 + b*u**2.
-u*(u - 2)*(3*u + 1)/2
Let k(f) be the first derivative of -3*f**5/35 - 183*f**4/28 - 60*f**3/7 - 2906. Factor k(c).
-3*c**2*(c + 1)*(c + 60)/7
Let k be 1/((-21)/(-10710)*45*(6 + -4)). Factor 4/3*f**3 + 4/3 + k*f**2 + 20/3*f.
(f + 2)**2*(4*f + 1)/3
Factor 0 - 819/5*k - 3/5*k**2.
-3*k*(k + 273)/5
Let q(h) be the third derivative of 0 - 1/30*h**5 - 363*h**3 + 85*h**2 + 11/2*h**4 + 0*h. Solve q(t) = 0 for t.
33
Let g(r) be the second derivative of -r**4/30 + 932*r**3/5 - 1954404*r**2/5 - 381*r - 4. Factor g(f).
-2*(f - 1398)**2/5
Let z(f) be the third derivative of -f**6/120 + 4*f**5/15 - 13*f**4/8 - 810*f**2. Factor z(d).
-d*(d - 13)*(d - 3)
Let x be 4/(-22)*(-58718)/1413. Let 0*z - 2/3*z**4 - x*z**3 + 16/3*z**2 + 0 = 0. Calculate z.
-12, 0, 2/3
Suppose -592/5*k - 1176/5 - 2/5*k**2 = 0. What is k?
-294, -2
Let u(h) = h**2 + 29*h + 203. Let w = 515 - 526. Let q be u(w). Factor 1/3*n**q - 160/3*n**2 + 0*n + 80/3*n**3 + 256/3 - 5*n**4.
(n - 4)**4*(n + 1)/3
Let p = 6/2309 - -4588/11545. Let g(n) be the first derivative of 4/15*n**3 - 4/25*n**5 + 0*n + 4/15*n**6 - 3/5*n**4 - 21 + p*n**2. Suppose g(s) = 0. What is s?
-1, -1/2, 0, 1
Let w(x) be the first derivative of 2*x**5/15 - 25*x**4/6 - 2*x**3/9 + 25*x**2/3 + 1460. Factor w(q).
2*q*(q - 25)*(q - 1)*(q + 1)/3
Let g(a) be the second derivative of 5*a**7/168 - a**6/40 - a**5/4 + a**4/4 - 479*a - 3. Solve g(h) = 0.
-2, 0, 3/5, 2
Let p(w) be the third derivative of -w**9/4536 - w**8/2520 + w**3/2 - 65*w**2. Let m(g) be the first derivative of p(g). Determine f so that m(f) = 0.
-1, 0
Factor 3*i**4 - 52*i**4 + 11324*i**3 - 176029*i**2 - 12036850 - 4370*i**2 - 75757*i**2 + 2*i**5 - 193*i**4 + 2811970*i.
2*(i - 35)**2*(i - 17)**3
Suppose 0 = 315*h + 295*h + 220 - 1440. Find l, given that -10/9 + 1/9*l**h + 1/3*l = 0.
-5, 2
Let p(i) be the second derivative of -1458*i**6/5 + 4482*i**5/5 - 7213*i**4/9 + 664*i**3/9 - 8*i**2/3 - 803*i + 1. Solve p(j) = 0 for j.
2/81, 1
Let a = -1523732/11 + 138522. Suppose -a*o + 2/11*o**2 + 0 = 0. What is o?
0, 5
Let c be 1179/(-3930) - 122*(-7)/180. Factor 8/9 + c*j + 50/9*j**2.
2*(5*j + 2)**2/9
Let g(b) be the third derivative of b**7/630 - b**6/36 + b**5/5 + 59*b**4/24 + 4*b**2 - b. Let j(c) be the second derivative of g(c). Factor j(f).
4*(f - 3)*(f - 2)
Let t = 2113/17160 + 4/2145. Let n(j) be the first derivative of t*j**4 - 23 - j**2 + 1/2*j**3 + 0*j. Solve n(m) = 0 for m.
-4, 0, 1
Let q(f) be the second derivative of -f**5/50 + 234*f**4/5 - 32947*f**3 + 982802*f**2/5 + 2*f + 132. Factor q(c).
-2*(c - 701)**2*(c - 2)/5
Let s(i) be the first derivative of 5*i**3 + 70*i**2 - 275*i - 2141. Fact