t a(y) = 0.
-1, 0, 1
Suppose 3 = -4*g + 7. Suppose 7 = 2*y - g. Factor 4 - 10*b**y - 10*b + 6*b**2 - 6 - 12*b**5 - 26*b**2 + 10*b**5 - 20*b**3.
-2*(b + 1)**5
Let m(w) be the first derivative of -w**5/100 - w**4/12 - 4*w**3/15 - 2*w**2/5 - 3*w + 15. Let l(g) be the first derivative of m(g). Factor l(j).
-(j + 1)*(j + 2)**2/5
Solve -12*t - 3*t**2 + 40*t**2 - 41*t**2 = 0.
-3, 0
Suppose 9*u + 52 - 7 = 0. Let h(g) = 6*g**2 + g + 5. Let r(a) = -3*a**2 - 3. Let w(n) = u*r(n) - 3*h(n). Factor w(f).
-3*f*(f + 1)
Let r(f) be the second derivative of -f**4/12 - 11*f**3/18 - f**2 + f + 44. Determine o, given that r(o) = 0.
-3, -2/3
Let w = 506 + -2529/5. Let g(i) be the first derivative of 0*i + 0*i**3 - 4 + 1/15*i**6 + 0*i**5 + w*i**2 - 1/5*i**4. Solve g(k) = 0.
-1, 0, 1
Suppose 7*j = -8*j + 90. Let h(u) = 20*u**3 - 121*u**2 + 170*u - 71. Let z(w) = -10*w**3 + 61*w**2 - 85*w + 36. Let y(o) = j*h(o) + 11*z(o). Factor y(l).
5*(l - 3)*(l - 2)*(2*l - 1)
Suppose 3*k + 239 = -3*h + 230, -k = 5. Find g, given that 11/7*g - 1/7*g**4 + h*g**2 - 1/7*g**5 + 6/7*g**3 + 3/7 = 0.
-1, 3
Let i be 20/80*(-196)/(-9) + -5. Factor -2/3*d + 0*d**2 + 2/9*d**3 - i.
2*(d - 2)*(d + 1)**2/9
Let k(h) be the first derivative of 8/3*h**3 - 8*h - 14 + 6*h**2. Suppose k(o) = 0. What is o?
-2, 1/2
Let u(m) = 6*m**3 + 12*m**2 - 5. Suppose 0 = 4*q - 3*v - 3, 6*q - 4*q + 31 = -5*v. Let t(z) = 3*z**3 + 6*z**2 - 3. Let b(a) = q*u(a) + 5*t(a). Factor b(r).
-3*r**2*(r + 2)
Let y = 3672 - 1321919/360. Let h(k) be the third derivative of 0 + y*k**6 + 0*k**4 + 0*k**3 - 7*k**2 + 0*k + 1/180*k**5. Factor h(w).
w**2*(w + 1)/3
Solve 1/4*x**3 - 5*x + 1/4*x**2 + 0 = 0 for x.
-5, 0, 4
Let g(x) be the second derivative of x**5/170 - 5*x**4/51 - 8*x**3/17 + 126*x. Suppose g(k) = 0. Calculate k.
-2, 0, 12
Let g(a) be the second derivative of -a**4/4 - a**3/2 + 20*a - 2. Suppose g(y) = 0. What is y?
-1, 0
Suppose 26 = -6*t + 8*t. Let p(q) = -q**2 + 13*q + 2. Let g be p(t). Let -6*n**2 + g*n**3 + 8*n**2 - 4*n + 0*n**2 = 0. Calculate n.
-2, 0, 1
Let t(k) be the second derivative of -k**5/10 - 2*k**4/3 + 4*k**3/3 + 16*k**2 + 52*k - 3. Factor t(z).
-2*(z - 2)*(z + 2)*(z + 4)
Let i(b) be the third derivative of -b**6/540 - b**5/180 - 3*b**3/2 + 10*b**2. Let r(d) be the first derivative of i(d). Let r(f) = 0. Calculate f.
-1, 0
Let y be 14/(-4)*(-8)/7. Factor 2*s**5 - 282*s**3 - 5*s**2 + 277*s**3 + 5*s**y + 3*s**5.
5*s**2*(s - 1)*(s + 1)**2
Let b(z) be the second derivative of -1/6*z**4 - 1/45*z**6 - 1/9*z**3 + 0*z**2 - 1/10*z**5 + 0 - 5*z. Factor b(c).
-2*c*(c + 1)**3/3
Let n(a) be the second derivative of -a**6/90 + a**5/15 - a**4/9 - 7*a**2/2 - 17*a. Let w(j) be the first derivative of n(j). Find k, given that w(k) = 0.
0, 1, 2
Let s(y) be the first derivative of -y**5 + 35*y**4/4 - 62. Factor s(f).
-5*f**3*(f - 7)
Let c(l) be the third derivative of -l**8/84 - 4*l**7/105 + l**6/10 - 571*l**2. Find t, given that c(t) = 0.
-3, 0, 1
Let x(g) be the second derivative of g**6/10 + 159*g**5/20 - g - 30. Factor x(u).
3*u**3*(u + 53)
Let p = -382 - -384. Factor -2 + 14/3*r**p - 8/3*r.
2*(r - 1)*(7*r + 3)/3
Let z be ((-42)/28)/((1/(-2))/1). Factor -3*q**5 + 168*q**2 + 29 + 27*q**4 - 96*q**z + 19 - 129*q - 15*q.
-3*(q - 2)**4*(q - 1)
Factor -q**2 + 4*q**2 - 3*q - 6*q - 30.
3*(q - 5)*(q + 2)
Suppose -25*c + 22*c + 6 = 0. Let p(b) be the first derivative of -3/2*b**4 + c + 0*b - b**3 - 3/5*b**5 + 0*b**2. Factor p(a).
-3*a**2*(a + 1)**2
Factor 0 - 11/4*o**3 + 1/4*o**4 - 21/2*o**2 + 0*o.
o**2*(o - 14)*(o + 3)/4
Let o(f) be the third derivative of f**5/510 - 5*f**4/51 + 12*f**3/17 + f**2 - 49. Let o(u) = 0. What is u?
2, 18
Let r(f) = 15*f - 22. Let d be r(5). Factor 96*w + 13*w**2 - d - 49*w**2 + 4*w**3 - 11.
4*(w - 4)**2*(w - 1)
Let n(u) be the first derivative of 0*u + 1/24*u**4 - 2*u**2 + 3 - 1/9*u**3 - 1/180*u**5. Let b(s) be the second derivative of n(s). Factor b(y).
-(y - 2)*(y - 1)/3
Let r(f) be the first derivative of f**7/630 + f**6/180 - f**4/36 - f**3/18 - 13*f**2 - 40. Let d(y) be the second derivative of r(y). Factor d(g).
(g - 1)*(g + 1)**3/3
Let m = 376 - 1879/5. Let t(w) be the second derivative of 0 + 6*w + 1/15*w**6 - m*w**5 + 0*w**2 + 0*w**3 - 1/2*w**4. Factor t(a).
2*a**2*(a - 3)*(a + 1)
Let c(y) be the third derivative of -25*y**6/48 + 5*y**5/4 - 5*y**4/4 + 2*y**3/3 + 63*y**2. What is m in c(m) = 0?
2/5
Let a = -201 - -202. Let j(q) be the first derivative of -a + 0*q - 1/5*q**2 + 1/15*q**3. Factor j(o).
o*(o - 2)/5
What is v in -255*v**3 + 30 + 75/2*v**4 - 186*v + 747/2*v**2 = 0?
2/5, 1, 5
Suppose 728*p - 725*p - 3*h = 15, 17 = 5*p + 3*h. Factor -4/5 - 6/5*d**2 + 2/5*d**3 + 2/5*d**p - 2*d.
2*(d - 2)*(d + 1)**3/5
Let k(j) be the first derivative of 5/2*j**2 - 5/3*j**3 - 8 + 5*j - 5/4*j**4. Let k(w) = 0. Calculate w.
-1, 1
Let x(b) = -b**2 - 5*b + 46. Let j be x(-9). Let w be (2/1)/(2/3). What is z in 23*z**2 + 36*z**w + 3*z**5 + j*z**2 + 18*z**4 - 9*z**2 = 0?
-2, 0
Let d(t) be the first derivative of -2*t**5/5 + 3*t**4 - 6*t**3 + 4*t**2 + 102. Find g, given that d(g) = 0.
0, 1, 4
Let y(z) be the first derivative of z**7/294 - z**6/70 + z**4/21 + 4*z - 36. Let h(o) be the first derivative of y(o). Let h(x) = 0. What is x?
-1, 0, 2
Let r(k) = -4*k**2 - 1066*k + 143678. Let f(a) = -9*a**2 - 2131*a + 287361. Let b(p) = 6*f(p) - 13*r(p). Determine d, given that b(d) = 0.
268
Let h(y) be the third derivative of -y**5/20 + 3*y**4/8 + 5*y**3 + 472*y**2 - 2*y. Let h(g) = 0. What is g?
-2, 5
Suppose -496 = -5*g - 2*u, -u + 92 = 3*g - 205. Let x = g + -488/5. Solve 0 - 2/5*s**3 + 2/5*s - x*s**4 + 2/5*s**2 = 0 for s.
-1, 0, 1
Let t = -128 + 156. Suppose 0 = 3*z - 34 + t. Factor 4/5*u + 4/5 + 1/5*u**z.
(u + 2)**2/5
Suppose 3*b + 4*l = -b + 16, 2*b + 5*l - 11 = 0. Suppose -4*m = 0, m - 9 = -3*d + 6. Factor -6*i**b - 8*i**3 - 25*i**2 - 6*i**3 - 7*i - 3*i - d*i**4.
-5*i*(i + 1)**2*(i + 2)
Suppose 27 - 3 = 6*c. Let -t**2 + t - t**c - 2*t + 2*t**2 + t**3 = 0. What is t?
-1, 0, 1
Let n(u) be the first derivative of 16*u**3/3 - 10*u**2/7 - 2*u/7 + 45. Factor n(d).
2*(4*d - 1)*(14*d + 1)/7
Let o be -3 - ((-110)/24 - 5/(-6)). Suppose h**2 + 1/4*h**3 + o*h + 0 = 0. Calculate h.
-3, -1, 0
Solve 27/4*h + 0 - 1/4*h**2 = 0 for h.
0, 27
Let c be (1342/(-15))/((-11)/3 + 3). Let y = c + -134. Factor 1/5*t**4 - y*t + 1/5*t**3 - 1/5*t**2 + 0.
t*(t - 1)*(t + 1)**2/5
Let h(f) be the first derivative of f**3 + 0*f + 25 - 3/4*f**4 + 0*f**2. Suppose h(c) = 0. What is c?
0, 1
Let a(i) be the third derivative of i**5/30 + 2*i**4/3 + 5*i**3 - 2*i**2 - 51*i. Factor a(h).
2*(h + 3)*(h + 5)
Let o(h) be the second derivative of -h**6/9 + 59*h**5/120 + h**4/24 - 20*h**3/9 - h**2/3 - 226*h. Let o(u) = 0. Calculate u.
-1, -1/20, 2
Suppose -12 + 8 = -2*v. Find w, given that -17*w**3 - 3*w**5 + 15*w**4 - 58*w - 12*w**v + 82*w - w**3 = 0.
-1, 0, 2
Let t be 27/(-7) + 4 + 300/105. Factor -2/5*d**4 + 0*d - 2/5*d**2 + 0 + 4/5*d**t.
-2*d**2*(d - 1)**2/5
Let v(t) be the second derivative of -t**2 - 1/4*t**4 + 0 - 1/30*t**5 - 2/3*t**3 - 6*t. Let c(r) be the first derivative of v(r). What is l in c(l) = 0?
-2, -1
Let a = -283 + 285. Let x(y) be the first derivative of 0*y + 1 - 1/6*y**3 + 0*y**a. Find o, given that x(o) = 0.
0
Let l = 13674 - 13674. Factor 2/5*b + l + 3/5*b**2 + 1/5*b**3.
b*(b + 1)*(b + 2)/5
Let v be 40/12*(-1 - 5/(-2)). Suppose -v*g = -5*u - 10, -3*u - 4*g + 2 + 6 = 0. Factor -4/3*x**3 + 0 + 4/3*x**2 + 1/3*x**4 + u*x.
x**2*(x - 2)**2/3
Let s(n) = n**2 - n - 1. Let j be 3*9/(108/(-8)). Let g(d) = -3*d**2 - 2*d - 2. Let h(r) = j*s(r) - g(r). Factor h(o).
(o + 2)**2
Let s be (10/8)/(17/136). Let y be (s/(-5))/((-1)/1). Factor -3*p**y - 2 + 9*p**2 - 2*p**2 + 0*p**2 - 2*p.
2*(p - 1)*(2*p + 1)
Let l be (-38)/(-6)*7/((-7)/38). Let h = -238 - l. Solve -4/3*c**2 + 4/3*c**4 + 0 + h*c**5 + 4/3*c - 4*c**3 = 0 for c.
-1, 0, 1/2, 1
Let m = 598 - 593. Let j(p) be the second derivative of 5*p + 0*p**2 + 2/15*p**3 - 11/75*p**6 + 3/10*p**m + 1/35*p**7 + 0 - 3/10*p**4. Solve j(v) = 0.
0, 2/3, 1
Let u be (-184)/(-182) + (-42)/49. Factor 6/13*y + 10/13*y**2 + u*y**3 - 18/13.
2*(y - 1)*(y + 3)**2/13
Let x(z) be the second derivative of z**5/170 + 7*z**4/51 + 49*z**3/51 + 15*z + 7. Solve x(p) = 0 for p.
-7, 0
Factor i**5 + 0*i**4 - 21*i**2 - 15*i**4 - 8*i**