+ 17 + 34*-1 + 15). Factor t*g + 56/3 - 2/3*g**2.
-2*(g - 14)*(g + 2)/3
Let q(n) be the first derivative of 1/10*n**4 - 262 + 416/5*n - 88/5*n**2 + 2/3*n**3. Factor q(i).
2*(i - 4)**2*(i + 13)/5
Suppose -20*q**3 + 148*q - 1850*q**2 + q**4 + 252 - 471*q - 49*q + 1989*q**2 = 0. What is q?
1, 6, 7
Let s be (-31)/(-5) + 9/(-68 - -23). Let l be (1 + -3)/(1 - 3). Find n, given that 3*n**2 - 4 + s*n - l + 5 + 3 = 0.
-1
Solve 18/11*k**3 + 382/11*k**2 - 288/11 - 1212/11*k = 0 for k.
-24, -2/9, 3
Let w be (2 - 4) + 4/1. Let z = -34999/9 + 3891. Factor -2/9*g**w - 50/9 + z*g.
-2*(g - 5)**2/9
Let o be (-10 + 1)/(-20 - -17). Factor 12*z**2 - 142*z**3 - 140*z**o + 284*z**3 + 2*z**2.
2*z**2*(z + 7)
Let w(z) be the third derivative of -z**5/20 - 567*z**4/2 - 642978*z**3 + 14*z**2 - 9*z. Factor w(o).
-3*(o + 1134)**2
Let d(q) be the third derivative of q**8/448 + 3*q**7/280 - 77*q**6/80 + 2363*q**2. Factor d(r).
3*r**3*(r - 11)*(r + 14)/4
Let c = 546 - 542. Factor 1 - 7 + 2*y**2 + 8*y**2 - 5*y**c + 3 - 2.
-5*(y - 1)**2*(y + 1)**2
Suppose -w = 3*i - 0*w - 39, 5*i + 3*w - 69 = 0. Let f = 18 - i. Find l, given that 3*l**5 + 9*l**3 - f*l**2 + 0*l**3 - 9*l**4 + 2*l**2 + l**2 = 0.
0, 1
Let v be ((-23)/(-3) + -1)/((-103)/(7004/(-510))). Factor -4/3 + v*z**2 + 46/9*z.
2*(z + 6)*(4*z - 1)/9
Solve -1212 + 6*j**3 + 2412*j + 119*j**3 - 1457*j**2 + 163*j**3 - 34*j**2 + 3*j**4 = 0.
-101, 1, 2
Let q be (-12)/(-5) - 17/(595/14). Factor 75 + 4*n**q - 6*n**2 + 7*n + 3*n**2 + 21*n.
(n + 3)*(n + 25)
Let h(t) = -27244*t**3 - 14598*t**2 - 1664*t + 85. Let o(x) = -40866*x**3 - 21898*x**2 - 2496*x + 128. Let a(k) = 8*h(k) - 5*o(k). Factor a(b).
-2*(7*b + 2)**2*(139*b - 5)
Let v be 3/2 - (350/(-35) - -11). Factor -3/2*j - 3*j**3 + v*j**5 + 0 + 0*j**4 + 4*j**2.
j*(j - 1)**3*(j + 3)/2
Suppose -o + 75 = -0*o + 4*b, 0 = o + b - 66. Factor -o + 110*x**2 - 158 - 22 - 54*x - 113*x**2.
-3*(x + 9)**2
Let b(y) be the second derivative of y**4/30 - 18*y**3/5 + 104*y**2/5 + 1387*y. Factor b(h).
2*(h - 52)*(h - 2)/5
Let z(g) be the third derivative of 484/9*g**3 + 1/90*g**5 + 0 + 0*g - 84*g**2 - 11/9*g**4. Factor z(k).
2*(k - 22)**2/3
Let k(x) be the second derivative of 0*x**2 + 256*x**4 - 79*x - 8192/3*x**3 + 2/15*x**6 - 48/5*x**5 + 0. Factor k(c).
4*c*(c - 16)**3
Let x be 240/42 - (16/(-7) + 2). Let -4*a - 10*a**2 - x*a**3 + 2*a**3 + 12*a - 4*a**2 = 0. Calculate a.
-4, 0, 1/2
Let g(f) be the first derivative of 1/3*f**3 - 11 + 0*f - 1/8*f**4 + 11/2*f**2 + 1/60*f**5. Let r(t) be the second derivative of g(t). Factor r(q).
(q - 2)*(q - 1)
Let w(u) be the second derivative of -2*u**6/135 + 17*u**5/45 - 52*u**4/27 - 8*u**3 + 32*u**2 - 3339*u. What is t in w(t) = 0?
-2, 1, 6, 12
Let -150/13*f + 2/13*f**2 - 308/13 = 0. Calculate f.
-2, 77
Factor 1202067/2 + 3/2*o**2 + 1899*o.
3*(o + 633)**2/2
Let p = 40234/100735 - -12/20147. Solve 22/5*a**3 + 0 - 2/5*a**4 - 22/5*a + p*a**2 = 0.
-1, 0, 1, 11
Let p be -10315*(-6)/105*(-14)/(-16). Let x = p - 515. Factor -x*c**2 + 0 + 0*c.
-3*c**2/4
Let r(b) be the second derivative of 1/4*b**4 + 1/2*b**2 + 34*b - 1/2*b**3 + 2 - 1/20*b**5. Factor r(o).
-(o - 1)**3
Let w(v) be the second derivative of -7*v**7/10 - 378*v**6/25 - 1578*v**5/25 - 48*v**4 + 568*v**3/5 - 288*v**2/5 - 822*v. Determine b, given that w(b) = 0.
-12, -2, 2/7
Find w, given that 3373*w + w**2 + 170 + 129 - 3073*w = 0.
-299, -1
Let i(v) be the second derivative of 48*v - 1/75*v**6 + 1/5*v**3 + 1/50*v**5 + 0 + 0*v**2 + 1/6*v**4. Find m such that i(m) = 0.
-1, 0, 3
Suppose 4*q - 7*y + 44 = 0, -2*y = q + 60002 - 60021. Factor 0*v**2 - 15*v**q + 0 - 5/2*v**4 + 0*v.
-5*v**3*(v + 6)/2
Let n(i) = -8*i**2 + 1047*i + 4176. Let u(t) = -6*t**2 + 697*t + 2784. Let p(h) = 5*n(h) - 7*u(h). Determine w, given that p(w) = 0.
-174, -4
Determine c so that 72/5*c**2 - 3/5*c - 72/5 + 3/5*c**3 = 0.
-24, -1, 1
Let t(p) be the third derivative of p**6/120 - 41*p**5/60 + 17*p**4/3 + 74*p**3 + 2001*p**2. Factor t(c).
(c - 37)*(c - 6)*(c + 2)
Factor 1232/9*y**2 + 2/3 - 170/9*y - 392/9*y**3.
-2*(y - 3)*(14*y - 1)**2/9
Let d = 7678/355 - 1493/71. Factor 0 - d*f**3 - 6/5*f**2 + 24/5*f.
-3*f*(f - 2)*(f + 4)/5
Let z(y) = -6*y + 12. Let c be z(0). Let r(u) = -u**3 - u**2 - 2*u + 1. Let o(w) = -20*w**2 - 24*w + 12. Let m(a) = c*r(a) - o(a). Factor m(d).
-4*d**2*(3*d - 2)
Let v = -182568 + 182571. Let 4/9*k**2 + 26/9*k - 28/9*k**v + 2/9*k**5 - 14/9 + 10/9*k**4 = 0. Calculate k.
-7, -1, 1
Let v(u) = -192*u**2 + 3892*u - 176. Let l(b) = 218*b**2 - 3896*b + 176. Let m(x) = -4*l(x) - 5*v(x). Factor m(t).
4*(t - 44)*(22*t - 1)
Let u(n) = 5*n**2 + 1845*n - 3740. Let t(b) = b**2 + 461*b - 934. Let f(z) = 15*t(z) - 4*u(z). What is a in f(a) = 0?
-95, 2
Let f(s) be the second derivative of s**6/90 + 7*s**5/30 + 35*s**4/36 + 11*s**3/9 - 865*s + 2. Find g such that f(g) = 0.
-11, -2, -1, 0
What is b in -2332/13*b - 2/13*b**4 + 678/13*b**2 + 328/13*b**3 + 1328/13 = 0?
-4, 1, 166
Suppose 0*l**4 - 24/5*l + 0 - 33/5*l**3 + 3/5*l**5 + 54/5*l**2 = 0. Calculate l.
-4, 0, 1, 2
Let y(s) be the third derivative of 2*s**3 - 4*s**2 - 1/6*s**4 - 14 + 0*s - 1/5*s**5 + 1/30*s**6. Factor y(p).
4*(p - 3)*(p - 1)*(p + 1)
Let t(w) be the first derivative of -98*w**2 - 1/4*w**4 - 28/3*w**3 - 89 + 0*w. Factor t(p).
-p*(p + 14)**2
Suppose 279 = 5*n + 179. Let l(c) = -4*c**4 - 4*c**3 - 36*c**2 - 10. Let f(k) = -k**4 - k**3 - 12*k**2 - 3. Let p(y) = n*f(y) - 6*l(y). Factor p(b).
4*b**2*(b - 2)*(b + 3)
Let n(m) be the first derivative of m**4/16 + m**3/4 + 3*m**2/8 + 52*m + 212. Let x(p) be the first derivative of n(p). Factor x(y).
3*(y + 1)**2/4
Let n(p) be the third derivative of 4*p**2 - 9/5*p**3 + p - 3/20*p**4 + 1/50*p**5 + 1/300*p**6 + 0. Find v such that n(v) = 0.
-3, 3
Suppose -4*r - 18 = -6*r. Suppose -b = 4, -3*b - 3 - r = 5*p. Factor 1/7*x**4 - 4/7*x**3 - 2/7*x + p + 5/7*x**2.
x*(x - 2)*(x - 1)**2/7
Let a(x) be the first derivative of -27*x**5/20 + 21*x**4/2 + 114*x**3 - 444*x**2 + 180*x + 7354. Solve a(j) = 0 for j.
-6, 2/9, 2, 10
Suppose -5*y + 5 = 0, 4*b + 13 = 3*y + 50. Factor 13*j**2 - b*j**2 + 7*j + 2*j.
3*j*(j + 3)
Let m be 4 - ((-28)/35 + 2/(-10)). Suppose g + 15 = 3*x - 4*g, 0 = -m*x + 2*g + 25. Factor -3*h**2 - h**2 - h + x*h**2.
h*(h - 1)
Let m(l) be the second derivative of -9*l**6/10 + 1443*l**5/20 - 6291*l**4/4 - 3645*l**3/2 - 13544*l. Solve m(u) = 0.
-5/9, 0, 27
Let b = 348 - 2434/7. Let t(v) be the second derivative of v + 0 + 9/14*v**2 + 1/28*v**4 - b*v**3. Find k, given that t(k) = 0.
1, 3
Let g be 32/(-400) + (1820/(-125))/(-7). Let y(q) be the first derivative of -8*q - 2/3*q**3 - 28 - 5*q**g. Solve y(p) = 0.
-4, -1
Let l(u) be the first derivative of u**5/5 + 51*u**4/8 - 27*u**3/2 - 178. Suppose l(v) = 0. What is v?
-27, 0, 3/2
Let c be (-2)/(6/(-21)) - (-11 - (-3948)/294). Determine y so that 6/7*y**3 + 0 - 24/7*y - c*y**2 = 0.
-2/3, 0, 6
Suppose 0 = -i + 10*i - 18. Let -4*h**3 + h**2 - 9*h**i + h**4 + 13*h**2 - 2*h = 0. What is h?
0, 1, 2
Let k(a) be the third derivative of -a**5/20 + 227*a**4/4 + 456*a**3 + 43*a**2 + 2*a + 25. Let k(u) = 0. What is u?
-2, 456
Let q(t) be the third derivative of -t**5/240 + 265*t**4/12 - 140450*t**3/3 + t**2 + 2949*t. Factor q(v).
-(v - 1060)**2/4
Let r be (-2)/(((-10)/(-45))/(-1)). Suppose 10*n**4 - 3*n**3 - n**2 - 5*n**5 - r*n**2 + 4*n**3 + 4*n**3 = 0. What is n?
-1, 0, 1, 2
Suppose 2061 = -15*y - 11919. Let q = y - -1865/2. Let 0*t + 0*t**2 - 1/2*t**3 - q*t**5 + t**4 + 0 = 0. Calculate t.
0, 1
Let x(k) be the second derivative of k**7/42 + k**6/2 + 13*k**5/20 - 5*k**4/4 - 7*k**3/3 + 1073*k. Factor x(r).
r*(r - 1)*(r + 1)**2*(r + 14)
Let 2/5*b**5 + 0 - 708480*b**2 + 691200*b - 722/5*b**4 + 17424*b**3 = 0. What is b?
0, 1, 120
Let x(p) be the second derivative of p**8/1680 - p**7/126 - p**6/30 - 59*p**4/3 + p - 62. Let v(s) be the third derivative of x(s). Let v(y) = 0. What is y?
-1, 0, 6
Let p be 15/8 - (-27)/(-3672)*-17. Factor 16/9 + 2/9*v**3 - 8/9*v - 4/9*v**p.
2*(v - 2)**2*(v + 2)/9
Let q(c) = -c**3 + 1. Let g(v) = 98*v**4 + 120*v**3 - 166*v**2 - 54*v + 2. Let i be (1 - 12/5) + 4/10. Let p(t) = i*g(t) + 6*q(t). Let p(z) = 0. Calculate z.
-2, -1/7, 1
Let j(z) be the second derivative of 1/30*z**4 + 0 - 29*z - 1/15*z**3 + 0*z**2. Factor j(k).
2*k*(k - 1)/5
Let t be (-1776)/(-3996)*36/8. Solv