ve of t - 5/2*g**4 - 20*g**2 - 3*g - 1/4*g**5 - 10*g**3. Factor s(q).
-5*(q + 2)**3
Suppose -1960 = 359*q - 331*q. Let a = q - -72. Factor -16/15 - 56/15*v - 6/5*v**3 + 68/15*v**a.
-2*(v - 2)**2*(9*v + 2)/15
Let s(x) be the second derivative of -x**7/21 - 2*x**6/5 - x**5/10 + 4*x**4 + 20*x**3/3 - 4*x - 76. Solve s(l) = 0 for l.
-5, -2, -1, 0, 2
Let u(r) = 600*r**3 - 1380*r**2 + 258*r + 44. Let v(a) = 199*a**3 - 460*a**2 + 86*a + 16. Let q(o) = -3*u(o) + 8*v(o). Determine c so that q(c) = 0.
-1/26, 1/4, 2
Let h be (-7 + 6)/((-450)/(-153) + -3). Let f(c) be the third derivative of 0*c - 2/135*c**5 + 13/108*c**4 - h*c**2 - 1/9*c**3 + 0. Factor f(z).
-2*(z - 3)*(4*z - 1)/9
Solve -49*s**3 - 6*s**3 + 125 + 3*s**4 - 189*s**2 - 226 + 10*s**3 + 501*s - 169 = 0 for s.
-5, 1, 18
Factor -127/6*h - 1/6*h**2 + 64/3.
-(h - 1)*(h + 128)/6
Let i = 6 - 2. Suppose 57*x - 56*x - 21 = 3*y, -3*y = 3*x + 9. Let 2*r - 3*r**4 + 4*r**2 - x - 2*r**3 + 0 - r**4 + 3*r**i = 0. What is r?
-3, -1, 1
Let j(o) be the third derivative of -o**8/50400 - o**7/3780 - o**4/6 - 4*o**3/3 - 37*o**2. Let i(c) be the second derivative of j(c). Factor i(f).
-2*f**2*(f + 5)/15
Let u(n) = -406*n**3 + 3*n + 2. Let f be u(-1). Factor 785*b - 15 + 3*b**2 - f*b - 392*b.
3*(b - 5)*(b + 1)
Factor -7204*x + 196*x**2 + 6487202 - 68*x**2 - 69*x**2 - 57*x**2.
2*(x - 1801)**2
Let b be (240/(-1155))/((-60)/42). Let k(p) be the first derivative of -b*p**5 - 46/33*p**3 + 6/11*p + 7 + 19/22*p**4 + 5/11*p**2. Let k(d) = 0. What is d?
-1/4, 1, 3
Suppose 0 = -4*b + 11 + 5. Suppose b*o = -0*o + 68. Find m such that -120*m + 399*m**2 + o - 4 - 1 - 12*m**5 - 507*m**3 - 36*m**5 + 264*m**4 = 0.
1/4, 1, 2
Let t be (2 + -5)*(400/15)/(-10). Factor 4*o**4 + 12 - t*o**3 + 10*o - 2*o - 58*o**2 + 42*o**2.
4*(o - 3)*(o - 1)*(o + 1)**2
Let c be ((-54)/7)/(67 - (-6775)/(-100)). Let x = 45854/6167 + -6/881. Factor 4/7*z**5 + c*z**3 - 88/7*z**2 + x*z - 4*z**4 - 12/7.
4*(z - 3)*(z - 1)**4/7
Let k be (-623)/(-19) - (-36)/171. Determine r, given that 3/7*r**3 + 60/7*r**2 + k*r - 726/7 = 0.
-11, 2
Factor 182*r**4 + 60*r**3 + 120*r + 215*r**2 - 404*r**4 + 227*r**4 - 400.
5*(r - 1)*(r + 4)**2*(r + 5)
Let l = -58 + 69. Suppose 0 = 5*f, -6*d + 10 = -d - 5*f. Suppose 5*q**2 - 2*q**5 + l*q**2 - q**4 - 3*q**4 + 2*q - 12*q**d = 0. Calculate q.
-1, 0, 1
Suppose -3*f + 8 = 5*y - 29, -32 = -3*f - 4*y. Let w be (2448/(-11475))/(f/(-10)). What is h in 2/15*h**5 + 0 + 0*h**2 + 0*h + w*h**3 - 8/15*h**4 = 0?
0, 2
What is w in -588/13*w**2 - 2/13*w**5 - 12/13*w**4 + 760/13*w + 178/13*w**3 - 336/13 = 0?
-14, 1, 2, 3
Suppose -6*h - 936 = 2*h. Let b = h - -121. Factor -6*k**3 - 21*k + k**5 + 48*k - 10*k**2 - 31*k + 2*k**b + k**5.
2*k*(k - 2)*(k + 1)**3
Let q = -56095 - -280491/5. Factor -2/5*s**2 + 0 + q*s.
-2*s*(s - 8)/5
Suppose 0 = 3*s - 12*s + 27. Solve -3*z**s - 2*z**2 + 0*z**3 + 8*z + 0*z**2 + 2*z**3 = 0.
-4, 0, 2
Let q be ((-378)/(-98) - 180/210)*(-2)/(-15). Determine m so that 8/5*m**2 - 12/5 + 2/5*m**3 + q*m = 0.
-3, -2, 1
Let y(v) be the third derivative of v**6/60 - 47*v**5/90 - 50*v**4/27 - 68*v**3/27 - 941*v**2. Factor y(k).
2*(k - 17)*(3*k + 2)**2/9
Let -8*g**2 - 88/3 + 333/2*g**4 + 272/3*g - 198*g**3 - 27/2*g**5 = 0. Calculate g.
-2/3, 2/3, 11
What is f in 336/5 - 3/5*f**2 - 72/5*f = 0?
-28, 4
Let u(f) be the third derivative of -98*f**3 - 161/12*f**4 + 0*f + 1/105*f**7 - 19/60*f**6 - 7 + 113/30*f**5 - 5*f**2. Factor u(v).
2*(v - 7)**2*(v - 6)*(v + 1)
Let o be ((-12)/10)/((-12)/20). Factor 7 - y**3 - y**3 + 82*y - 83*y + 3*y**3 - 7*y**o.
(y - 7)*(y - 1)*(y + 1)
Let r(n) = -n**2 + 10*n + 2279. Let u be r(53). Let -1/5*k**5 + 1/5*k**2 + 0 - 3/5*k**3 + u*k + 3/5*k**4 = 0. What is k?
0, 1
Let b = -4550 - -4575. Let s(l) be the first derivative of -l**2 + 0*l + 4/3*l**3 - b + 3/2*l**4. Solve s(v) = 0.
-1, 0, 1/3
Let z(y) be the first derivative of -1/2*y**6 + 44 - 3*y**2 - 7*y**3 + 0*y - 27/4*y**4 - 3*y**5. Factor z(s).
-3*s*(s + 1)**3*(s + 2)
Let u = 1252384/5 + -250476. Factor 0*x - 24/5*x**4 - 36/5*x**3 + 0 - 16/5*x**2 - u*x**5.
-4*x**2*(x + 1)**2*(x + 4)/5
Factor -12 - 31*c - 36*c + 0*c**2 + 2*c**2 - 26*c + 91*c.
2*(c - 3)*(c + 2)
Suppose 247*i - 1055 - 73 = -129*i. Solve -3/7*j**i + 12/7*j**2 - 15/7*j + 6/7 = 0 for j.
1, 2
Let c be 21*(25/(-35))/(-5). Let z(y) be the second derivative of -1/2*y**2 + 0 - 1/12*y**4 - 28*y - 1/3*y**c. Find g, given that z(g) = 0.
-1
Let x(i) = i**3 + 25*i**2 - 27*i - 23. Suppose 7*g + 76 = -106. Let t be x(g). Factor k**2 + 5*k**3 + 15 - 27*k - 3*k**3 + k**t + 8*k**2.
3*(k - 1)**2*(k + 5)
Let h be ((-408)/56)/51 + 15/7. Solve -1/2*d**h - 2 + 1/2*d**5 - 4*d + 7/2*d**3 + 5/2*d**4 = 0.
-2, -1, 1
Let u(c) be the second derivative of -c**6/6 - 53*c**5/2 - 1575*c**4 - 116375*c**3/3 - 214375*c**2/2 - 2553*c. Factor u(h).
-5*(h + 1)*(h + 35)**3
Let c = 3622/2397 + 1456/799. Solve -2/9*t**3 - 2*t**2 - c*t + 50/9 = 0.
-5, 1
Let b(g) = g**4 + 19*g**3 - 47*g**2 + 27*g. Let d(o) = -22*o**3 + 48*o**2 - 26*o. Let f(a) = -2*b(a) - 3*d(a). Factor f(i).
-2*i*(i - 12)*(i - 1)**2
Let o be ((-10)/(-3))/(-2) + 28 + 2370/(-90). Let x(p) be the first derivative of o*p + 2/3*p**3 + 1/2*p**4 - 2*p**2 - 23. Factor x(h).
2*h*(h - 1)*(h + 2)
Let m be 4 - (3/9 + (-52)/3). Let t be 21/(-9)*(19/(-1) + 1). Factor t + 33*q**2 - 20*q - m*q**2 - 34.
4*(q - 1)*(3*q - 2)
Let p(r) be the first derivative of -18/7*r**2 - 4/5*r**5 + 0*r - 43/7*r**4 - 92/7*r**3 - 93. Factor p(w).
-4*w*(w + 3)**2*(7*w + 1)/7
Let u(f) be the second derivative of f**6/75 + 2*f**5/5 - f**4/30 - 4*f**3/3 + 329*f + 1. Suppose u(p) = 0. What is p?
-20, -1, 0, 1
Factor 378/5*a - 9*a**2 - 3/5*a**3 + 0.
-3*a*(a - 6)*(a + 21)/5
Let g be 190/12 + (-71)/((-15762)/(-185)). Let a(u) be the second derivative of 32*u + 27/2*u**3 + 0 - 5/4*u**4 - g*u**2. Determine i so that a(i) = 0.
2/5, 5
Let m(s) = -s**3 - 106*s**2 - 26*s + 109. Let l(q) = q**3 + 8*q - 1. Let z(k) = -3*l(k) - m(k). Factor z(v).
-2*(v - 53)*(v - 1)*(v + 1)
Let i = -2211 + 37499/17. Let n = -829/170 - i. Factor n*l + 1/10*l**2 - 3/10*l**3 + 0 - 1/10*l**4.
-l*(l - 1)*(l + 1)*(l + 3)/10
Suppose -70/3*p + 1/3*p**2 + 0 = 0. Calculate p.
0, 70
Let u(f) be the first derivative of -31 + 0*f + 0*f**2 + 29/3*f**3 + 0*f**4 - 7/30*f**5 - 1/90*f**6. Let d(t) be the third derivative of u(t). Factor d(q).
-4*q*(q + 7)
Let r(g) be the third derivative of g**6/36 + 239*g**5/180 + 131*g**4/18 + 86*g**3/9 + 3*g**2 + 2*g + 87. Determine x so that r(x) = 0.
-43/2, -2, -2/5
Let z = 1730 - 399. Let j = z + -1327. Solve 12*y + 72/7 + 1/7*y**j + 2/7*y**2 - 9/7*y**3 = 0 for y.
-2, -1, 6
Let m(a) = -34*a**2 + 162*a + 520. Let l(x) = -42*x**2 + 160*x + 518. Let o(u) = -8*l(u) + 10*m(u). Find y such that o(y) = 0.
-3, 88
Suppose 0 = -65*a + 8*a - 2394. Let f = 89/2 + a. Factor 0 - 5*b**3 + 0*b - f*b**4 - 5/2*b**2.
-5*b**2*(b + 1)**2/2
Suppose 6*s + 106 = 2*s + 5*v, -s = 3*v + 18. Let r be 0/(16/(-7) + s/(-84)). Factor k**4 + k**4 - 2*k**2 - 25*k**3 + 22*k**3 + r*k**2.
k**2*(k - 2)*(2*k + 1)
Let y = 702294 + -11953877/17. Let c = -875 - y. Suppose 18/17*u + 8/17 + c*u**2 = 0. Calculate u.
-4, -1/2
Let m(r) be the first derivative of 3*r**5/10 - 7*r**4/8 - 28*r**3 - 27*r**2 + 2627. Determine s, given that m(s) = 0.
-6, -2/3, 0, 9
Suppose 173*s = 200*s - 81. Suppose 2*i + 5*t = 68, 2*t - 52 = -2*i + t. Factor -4*k**2 + i*k**s - k**2 - 29*k**3.
-5*k**2*(k + 1)
Let c = 1973 - 1969. Let v(l) be the second derivative of 0*l**2 - 8/15*l**5 + 8/45*l**6 - 1/63*l**7 + 0 + 0*l**3 + 36*l + 0*l**c. Solve v(x) = 0.
0, 4
Factor 0*v + 2/7*v**5 + 244/7*v**3 + 18*v**4 + 0*v**2 + 0.
2*v**3*(v + 2)*(v + 61)/7
Let f = 853072/8957207 - 2/3838803. Factor 0*l - 4/21*l**3 + f*l**2 + 0 + 2/21*l**4.
2*l**2*(l - 1)**2/21
Let j(s) = -27*s**2 - 24*s + 132. Let c be j(8). Let p be c/(-546) - (-14)/91. Let 48/7*d - p*d**3 + 3/7*d**4 + 48/7 - 24/7*d**2 + 3/7*d**5 = 0. What is d?
-2, -1, 2
Let m = 615 - 4287/7. Let t = -15726/91 + 2254/13. Factor -32/7*q**2 + t + 10/7*q + m*q**3.
2*(q - 1)**2*(9*q + 2)/7
Let f(o) be the second derivative of o**5/60 + 5*o**4/36 - 67*o**3/9 + 40*o**2 + 2*o - 226. Find i, given that f(i) = 0.
-15, 2, 8
Factor -398*r - 411*r + 248*r + 409 + 3*r**2 + 149.
3*(r - 186)*(r - 1)
Factor 6*v**3 - 51*v**2 + 17*v**2 - 2*v**3 + v**3 - v**2.
5*v**2*(