 that 40 - 5/2*t**4 - 1/2*t**5 + 125/2*t**2 + 92*t + 17/2*t**3 = 0.
-4, -1, 5
Suppose 3 = -3*l - 3*n - 3, -3*n - 2 = 5*l. Suppose l*b - 14 = t - 7, -t = b + 1. Factor -4*i**2 + 3*i - 12*i - b - 6*i**2 - 3*i**3.
-(i + 1)*(i + 2)*(3*i + 1)
Suppose -5*x + 2*d = -0*d - 30, 2*x = -3*d - 7. Suppose 0 = -7*q + 4*q + 6. Factor 2*h**4 + 4*h**2 + q*h**x - h**2 + 3*h**5 + 5*h**4 + 9*h**3.
3*h**2*(h + 1)**3
Let 30*w**4 - 96*w**2 + 13 + 3*w**3 - 39*w + 26*w**3 + 53 - 3*w**5 + 13*w**3 = 0. What is w?
-2, -1, 1, 11
Let y = -22 + 26. Let m be 4 - (3 + y/10). Factor -1/5*o**3 - 3/5*o + m*o**2 + 1/5.
-(o - 1)**3/5
Let d(k) = -k**2 + 8*k + 7. Let v be d(3). Let i(t) = 5*t**3 - 31*t**2 + 25*t + 1. Let c(q) = q**3 - 6*q**2 + 5*q. Let y(u) = v*c(u) - 4*i(u). Solve y(a) = 0.
1, 2
Factor -219*l**2 + 2*l**3 - 16*l**2 + 3*l**3 - 50*l**2 + 5415*l - 34295.
5*(l - 19)**3
Let n(v) = v**3 + 8*v**2 - 11*v - 4. Let t be n(-9). Suppose t*l - 13*l - 4*l - 3*l**2 = 0. Calculate l.
-1, 0
Let r = -1532 + 1535. Let g(z) be the third derivative of 0*z**r + 0 - 14*z**2 + 0*z - 1/270*z**5 + 1/108*z**4. Find j such that g(j) = 0.
0, 1
Let n(y) be the second derivative of 3/140*y**5 + 3/14*y**3 - 16*y + 0 + 1/7*y**4 + 0*y**2. Factor n(j).
3*j*(j + 1)*(j + 3)/7
Let h(f) = 5*f - 45. Let y be h(10). Suppose 0*i + 4 = 2*i. Determine v, given that 2*v**i + 2*v**2 - 9*v**5 + y*v**5 - 4*v**4 + 4*v**3 = 0.
-1, 0, 1
Let p be (228/17)/(5/(-1) - -40). Let l = p - -2/119. Factor 0 + 0*x**4 + 2/5*x**5 - l*x**3 + 0*x + 0*x**2.
2*x**3*(x - 1)*(x + 1)/5
What is t in 0*t**2 - 15*t**4 + 6*t + t**3 - 15*t**2 + 3*t**5 + 26*t**3 - 6*t**2 = 0?
0, 1, 2
Let v(f) = -5*f**3 - 10*f**2 + 10*f - 5. Let x(y) = -y**3 + y**2 + y + 1. Let n(r) = -v(r) - 5*x(r). Factor n(m).
5*m*(m - 1)*(2*m + 3)
Let k(w) = -5*w**4 - 110*w**3 + 7*w**2 + 108*w + 2. Let v(i) = i**2 - i + 1. Let p(s) = -k(s) + 2*v(s). Let p(o) = 0. What is o?
-22, -1, 0, 1
Let t(c) be the third derivative of -c**8/1848 + 16*c**7/1155 - 97*c**6/660 + 139*c**5/165 - 95*c**4/33 + 200*c**3/33 - 374*c**2. Factor t(b).
-2*(b - 5)**2*(b - 2)**3/11
Let i(w) be the third derivative of w**6/210 - 2*w**5/21 - w**4/6 + 56*w**3/3 + 136*w**2 + 1. Factor i(o).
4*(o - 7)**2*(o + 4)/7
Factor 17*o**2 - 18*o + 26*o + 43*o**2 + 40*o + 32*o - 5*o**4.
-5*o*(o - 4)*(o + 2)**2
Let c be (3/(-4))/((-119)/5508). Factor -c*d**2 + 0*d - 3/7*d**4 + 0 - 54/7*d**3.
-3*d**2*(d + 9)**2/7
Suppose 0 = -6*j - 555 + 585. Let t(m) be the third derivative of -2/3*m**4 + 4/3*m**3 - 1/60*m**6 + 0*m - 5*m**2 + 1/6*m**j + 0. Factor t(v).
-2*(v - 2)**2*(v - 1)
Let w(l) be the second derivative of -l**4/18 - l**3 - 6*l**2 - 209*l. Factor w(c).
-2*(c + 3)*(c + 6)/3
Let a = 241/146 + -11/73. Factor 27/4*g**2 - a*g + 0.
3*g*(9*g - 2)/4
Suppose -2*t = 4*t + 24. Let a be t + (-20)/25*-9. Factor 504/5*q**2 + 32*q + a + 392/5*q**3 - 343/5*q**4.
-(q - 2)*(7*q + 2)**3/5
Let p(n) = 6*n**4 - 10*n**3 - 30*n**2 + 10*n + 32. Let v(d) = -2*d**4 - d**3 + d**2 - d + 1. Let g(s) = p(s) + 4*v(s). Suppose g(o) = 0. What is o?
-3, -2, 1
Suppose 0 = -o - x - 4, 7*x - 2*x = 5*o + 20. Let p be ((-2)/o)/(0 + 15/6). Find q, given that p*q**2 + 0 + 2/5*q - 1/5*q**3 = 0.
-1, 0, 2
Let r be (-3)/(-11) - (11247/(-506) - -22). Solve 1/2 - 1/4*d**5 + d**3 - r*d**2 + 0*d**4 - 3/4*d = 0.
-2, -1, 1
Let q be (6232/(-80) + 4/10)*-2. Let s = -153 + q. Suppose 3/5*i - 3/5*i**3 - 6/5 - 3/5*i**4 + 9/5*i**s = 0. What is i?
-2, -1, 1
Let r(g) be the second derivative of -g**7/3360 - g**6/1440 + g**5/240 - 13*g**3/6 + 17*g. Let z(m) be the second derivative of r(m). Factor z(h).
-h*(h - 1)*(h + 2)/4
Let s(g) = g**3 + 32*g**2 + 5*g - 2. Let q(b) = 30*b**2 + 5*b - 5. Let j(m) = 6*q(m) - 5*s(m). Factor j(l).
-5*(l - 4)*(l - 1)*(l + 1)
Let h(s) be the first derivative of -s**8/336 - s**7/42 - s**6/24 + s**5/6 + 5*s**4/6 - 10*s**3/3 - 11. Let u(x) be the third derivative of h(x). Factor u(b).
-5*(b - 1)*(b + 1)*(b + 2)**2
Let k(s) = -105*s**3 + 3*s**2 + 4*s + 1. Let q be k(-1). Suppose 5 = -20*v + q. Determine b so that 0*b + 1/5*b**2 - 1/5*b**4 - 1/5*b**3 + 0 + 1/5*b**v = 0.
-1, 0, 1
Let t(m) be the first derivative of 4*m**5/5 + 11*m**4 + 24*m**3 + 96. Find s, given that t(s) = 0.
-9, -2, 0
Let p(t) be the second derivative of -2*t**6/15 - 2*t**5/5 + 31*t**4/3 - 56*t**3/3 + 10*t - 8. Factor p(r).
-4*r*(r - 4)*(r - 1)*(r + 7)
Let o(u) = u**3 + u**2 + u + 6. Let f be o(0). Suppose b = 4*q - 9, f = 2*q + 2*b - 4*b. Find r, given that -28*r - 14*r**2 + 36*r + 4*r**3 + 2*r**q = 0.
0, 1, 2
Let t be (12/72 + 35/(-21))*1/(-3). Solve -t - 1/4*v**2 + 3/4*v = 0.
1, 2
Let i = -4676 - -4676. Factor i*g + 0*g**2 + 1/2*g**3 + 0.
g**3/2
Let o = -82 + 94. Let n be o/6 - 5/4. Factor 1/2*l + 1/4*l**3 + 0 + n*l**2.
l*(l + 1)*(l + 2)/4
Let z(x) be the second derivative of x**7/3360 + x**6/720 - x**5/160 + 4*x**3 - 24*x. Let o(n) be the second derivative of z(n). Solve o(i) = 0.
-3, 0, 1
Let l be ((2 - 2) + (-1 - -1))/(-2). Let c(v) be the second derivative of l + 0*v**4 + 0*v**2 + 0*v**5 + 3*v + 1/15*v**6 - 2/21*v**7 + 0*v**3. Factor c(s).
-2*s**4*(2*s - 1)
Factor 14/23*g**3 - 2/23*g**4 + 0 + 0*g - 24/23*g**2.
-2*g**2*(g - 4)*(g - 3)/23
Let l(q) be the second derivative of 5/42*q**3 - 5*q - 1/12*q**4 + 1/7*q**2 + 0. Factor l(h).
-(h - 1)*(7*h + 2)/7
Factor 2*q**4 + 361*q + 16*q**3 - 361*q.
2*q**3*(q + 8)
Suppose 72005*o + o**2 - 72020*o - 4*o**2 = 0. What is o?
-5, 0
Let k(c) = c**3 - 7*c**2 + 12*c - 7. Let z be k(5). Let y = z + 4. Determine v so that -y*v + v**2 - v**3 + 2*v + 5*v + 2*v = 0.
-1, 0, 2
Factor 3/2*f**3 + 30*f + 12 + 51/4*f**2.
3*(f + 4)**2*(2*f + 1)/4
Suppose -7*a + 22 + 6 = 0. Let z be (2/(-4))/(a/(-32)). Factor 4/15*v**z + 2/5*v**3 + 0 + 2/15*v**2 + 0*v.
2*v**2*(v + 1)*(2*v + 1)/15
Let v(b) = 1 + 2*b**2 + b**2 + b - 2*b**2 - 2*b**2. Let h(r) = 3*r**3 + 3*r. Let d(o) = -h(o) + 6*v(o). Factor d(c).
-3*(c - 1)*(c + 1)*(c + 2)
Let s(w) = -w**3 - 6*w**2 + 6*w - 3. Let j be s(-7). Suppose -9*f + j*f = -105. Factor b**2 - 21 + f.
b**2
Let u = -9337 - -9342. What is m in 22/5*m**2 - 9/5*m**3 - m**4 - 29/10*m + 3/5 + 7/10*m**u = 0?
-2, 3/7, 1
Let z(q) be the second derivative of 0 + 5/12*q**4 + 0*q**2 + 2*q - 5/2*q**3. Factor z(y).
5*y*(y - 3)
Let c(n) be the second derivative of -1/3*n**5 - 7*n + 2/3*n**3 + 0 + 25/6*n**4 + 0*n**2 + 1/90*n**6. Let m(w) be the second derivative of c(w). Factor m(a).
4*(a - 5)**2
Let q(s) be the first derivative of -9*s**4/4 + 116*s**3/3 - 95*s**2/2 - 12*s - 347. Solve q(u) = 0.
-1/9, 1, 12
Let s(k) be the third derivative of k**7/140 - 3*k**6/80 + k**5/20 + 2*k**2. Determine o so that s(o) = 0.
0, 1, 2
Let o be ((-5)/(-4))/((-2)/(-8)). Suppose -2*t - o*c + 13 + 11 = 0, 6 = -t + 2*c. Determine g so that 0*g - 2*g + 2*g**t + 4*g = 0.
-1, 0
Let x(w) be the second derivative of -1/54*w**4 - 1/135*w**6 + 16*w + 0 - 1/45*w**5 + 0*w**2 + 0*w**3. Suppose x(y) = 0. Calculate y.
-1, 0
Let m(j) = -2*j**2 - j. Let g(f) = -3*f**4 + 15*f**3 - f**2 - 11*f + 12. Let u(k) = g(k) + 4*m(k). Let u(s) = 0. Calculate s.
-1, 1, 4
Let x be 2/11 - (-187)/605*2. Factor -x*l**2 - 4/5*l + 0.
-4*l*(l + 1)/5
Let q(h) be the second derivative of 0 + 2*h - 1/6*h**4 + 4*h**2 + 0*h**3. Factor q(z).
-2*(z - 2)*(z + 2)
Suppose -4*f + 5*f - 38 = 0. Let m = f - 38. Find x such that m + 4/3*x**2 + 0*x - 14/3*x**3 = 0.
0, 2/7
Let z(a) = 23*a**2 + 6*a - 19. Let h(o) = 8*o**2 + 2*o - 6. Let p = -85 - -79. Let y(n) = p*z(n) + 17*h(n). Determine j so that y(j) = 0.
-3, 2
Let w(p) be the second derivative of -p**4/3 - 56*p**3/3 - 392*p**2 - 407*p. Factor w(k).
-4*(k + 14)**2
Let i(l) be the third derivative of -l**5/150 - l**4/30 + 21*l**3/5 - 291*l**2. Solve i(m) = 0 for m.
-9, 7
Let r(o) be the second derivative of 0 + 6/5*o**5 + 0*o**2 - 1/2*o**4 - 2/3*o**3 - 39*o - 7/15*o**6. Factor r(f).
-2*f*(f - 1)**2*(7*f + 2)
Let v(c) = c**2 - 28*c - 50. Let y be v(30). Find z, given that -y*z**4 - 5*z + 7*z**5 + 3350*z**2 - 3340*z**2 - 2*z**5 = 0.
-1, 0, 1
Let c(p) be the second derivative of 4*p**5 - 110*p**4/3 + 205*p**3/6 - 25*p**2/2 - 21*p - 1. Let c(q) = 0. What is q?
1/4, 5
Let l = 1868 + -1868. Find q, given that 1/4*q**3 + l*q**2 - 3*q + 4 = 0.
-4, 2
Let d(s) be the first derivative of -s**4 + 148*s**3/3 - 72*s**2 - 3. Let d(u) = 0. What is u?
0, 1, 36
Factor -26/7*