t).
-2*t**2*(t - 1)/5
Determine z, given that 19*z - 3*z**3 - 8*z**2 + 4*z**5 - 4*z**4 - 21*z**3 + 12 + z = 0.
-1, 1, 3
Suppose 0 = -3*f + 2 + 7. Let -3*s**3 + 2*s**3 - 3*s**3 + 5*s**f = 0. Calculate s.
0
Let y(f) be the third derivative of f**6/60 - f**5/30 - f**4/12 + f**3/3 + 13*f**2. Factor y(h).
2*(h - 1)**2*(h + 1)
Let z = 14 + -10. Let 2*m**5 + 17*m**4 + 3*m**3 + m**5 - 11*m**z = 0. Calculate m.
-1, 0
Let v be 7 + (2/4 - (-21)/(-6)). Determine t, given that -v - 9*t**2 - 1/2*t**4 - 7/2*t**3 - 10*t = 0.
-2, -1
Suppose 52*o = 54*o. Let m(h) be the second derivative of o - 1/12*h**3 + 0*h**4 + 0*h**2 + 1/40*h**5 + h. Let m(t) = 0. What is t?
-1, 0, 1
Suppose 0 = -x, -a - 5*x = -0*a - 6. Suppose -2*c + a = c. Factor -2/7 + 2/7*q + 2/7*q**c - 2/7*q**3.
-2*(q - 1)**2*(q + 1)/7
Suppose 11 = -5*l + 4*l. Let f = l - -15. Factor 1/2*c**5 - 1/2*c**f - c**3 - 1/2 + 1/2*c + c**2.
(c - 1)**3*(c + 1)**2/2
Let t = 54 + -51. Suppose 8/3*q**5 + 2/3*q**2 + 0*q + 4/3*q**t + 0 - 14/3*q**4 = 0. What is q?
-1/4, 0, 1
Let p(r) be the third derivative of 1/12*r**3 + 1/96*r**4 + 0*r - 1/240*r**5 + 3*r**2 + 0. Let p(o) = 0. What is o?
-1, 2
Let j(l) be the third derivative of 0*l**5 - 1/24*l**4 + 0*l**3 + 2*l**2 + 0*l + 1/120*l**6 + 0. Determine y so that j(y) = 0.
-1, 0, 1
Let b(c) = 2*c**4 - 6*c**3 - 2. Let h(d) = -3*d**4 + 13*d**3 + 5. Let q(k) = 5*b(k) + 2*h(k). Factor q(u).
4*u**3*(u - 1)
Let d(a) = -2*a**2 + a + 3. Let l(r) be the first derivative of -r**3/3 + r + 1. Let y(h) = -d(h) + 3*l(h). Factor y(s).
-s*(s + 1)
Factor 4/5 - 1/5*t**2 + 0*t.
-(t - 2)*(t + 2)/5
Let p(a) be the third derivative of -a**5/15 - a**4/6 + 16*a**2. Factor p(l).
-4*l*(l + 1)
Let l(v) be the second derivative of 0*v**3 + 0*v**4 + 0*v**2 + 1/84*v**7 + 1/40*v**5 + 0 + v + 1/30*v**6. Factor l(w).
w**3*(w + 1)**2/2
Factor 64/7 + 36/7*j**2 + 4/7*j**3 + 96/7*j.
4*(j + 1)*(j + 4)**2/7
What is l in -8/5 - 2/5*l**3 - 2*l**2 - 16/5*l = 0?
-2, -1
Let x(p) = 8*p**2 + 8*p - 2. Let u(z) = -z**3 + 7*z**2 + 8*z - 3. Let o(d) = 2*u(d) - 3*x(d). Factor o(h).
-2*h*(h + 1)*(h + 4)
Let f(k) = 8*k**3 + 3*k**2 + 11*k + 11. Let w(p) = -p**2 - 4 - 4*p - p**3 - 2*p**3 + 0*p**3. Let u(a) = 4*f(a) + 11*w(a). Factor u(y).
-y**2*(y - 1)
Let v(g) be the third derivative of 1/20*g**5 + 0*g**3 + 0*g + 0 + 0*g**4 - 6*g**2. Factor v(z).
3*z**2
Let b = 7 + -7. Let q = -4/17 - -46/51. Factor b*j - 2/3 + q*j**2.
2*(j - 1)*(j + 1)/3
Let v be ((1 - -3)/2)/2. Factor -2*r**3 + 27*r - r**5 - r**4 + 4*r**3 + 2*r**2 - 28*r - v.
-(r - 1)**2*(r + 1)**3
Let g(b) be the second derivative of b**4/30 - b**3/5 + 2*b**2/5 - 7*b. Solve g(p) = 0.
1, 2
Let n(a) be the first derivative of -4*a**3 - 3/4*a**4 - 15/2*a**2 - 6 - 6*a. Factor n(k).
-3*(k + 1)**2*(k + 2)
Let i = 943/525 - -2/525. Let 3/5*w - 3/5 - 42/5*w**3 + 18/5*w**2 - i*w**5 + 33/5*w**4 = 0. What is w?
-1/3, 1
Let n(g) be the first derivative of g**4/30 + 4*g**3/45 + 3. Factor n(t).
2*t**2*(t + 2)/15
Let g(a) = 0*a**2 + 10*a - 3*a**2 + 4 + 2*a**2 - 1. Let t be g(10). Suppose 2*v**t + 0*v + 0 + 4/3*v**2 = 0. What is v?
-2/3, 0
Let c be 2 - -2*(7 - 5). Let w(r) = -7*r**2 + 2*r. Let k(x) = x**2. Let o be (-1 - -3 - 1) + 0. Let m(t) = c*k(t) + o*w(t). Determine l, given that m(l) = 0.
0, 2
Let z(n) be the third derivative of n**7/1470 + n**6/840 - n**5/420 - n**4/168 - n**2. Factor z(c).
c*(c - 1)*(c + 1)**2/7
Suppose 11 = 2*x - 5*d + 1, -3*x = -5*d - 10. Determine c so that -1/4*c**4 + 5/4*c**2 + 3/4*c + x + 1/4*c**3 = 0.
-1, 0, 3
Let 2/7*q**2 - 12/7 - 2/7*q = 0. Calculate q.
-2, 3
Let n = -523797 + 249327487/476. Let l = n + 3/68. Suppose 0 + 0*i**2 - l*i**5 + 4/7*i**4 - 2/7*i**3 + 0*i = 0. What is i?
0, 1
Factor -2/7*z**2 - 2/7*z**3 + 16/7*z + 24/7.
-2*(z - 3)*(z + 2)**2/7
Let q(u) be the second derivative of -u**5/60 - u**4/8 - u**3/3 - 3*u**2/2 - 3*u. Let c(g) be the first derivative of q(g). Factor c(z).
-(z + 1)*(z + 2)
Let f = -165 + 168. Let b(j) be the second derivative of 1/4*j**2 - 1/48*j**4 + j + 0 - 1/24*j**f. Suppose b(p) = 0. Calculate p.
-2, 1
Let r = 1 + 0. Let x(z) = -14*z**2 - 14*z. Let m(b) be the third derivative of -b**5/60 - b**4/24 - 2*b**2. Let d(g) = r*x(g) - 12*m(g). Solve d(p) = 0.
-1, 0
Let d(i) be the third derivative of 3*i**5/5 + i**4/3 + 2*i**2. Determine f, given that d(f) = 0.
-2/9, 0
Let z(s) be the third derivative of -1/6*s**4 + 0 + 0*s - 1/30*s**5 - 1/3*s**3 + 2*s**2. Determine b so that z(b) = 0.
-1
Determine l so that -4/3*l - 2/3*l**2 + 0 = 0.
-2, 0
Let y be (-30)/(-7) + 2/(-7). Let m(t) = t**2 - 4*t. Let v be m(y). Determine u, given that 0*u + v - 2/3*u**2 = 0.
0
Suppose 2*d = 5*w + 10 + 7, -2*d + 3*w = -11. Let h = 7 + d. What is s in 4*s**4 + 4*s**3 + 2 + h*s**4 - 10*s**2 - 4*s**4 + s - 5*s**5 = 0?
-1, -2/5, 1
Suppose 468 = -4*w + w. Let b = w + 1406/9. Factor -2/9*y**2 - b*y + 0.
-2*y*(y + 1)/9
Factor 2/3*d**2 - 4/3 - 2/3*d.
2*(d - 2)*(d + 1)/3
Let c be 5*((-2)/60)/(1/(-28)). Let 0 + 4/3*b + c*b**2 = 0. Calculate b.
-2/7, 0
Suppose -q + 2*b + 15 = -b, -21 = -3*q + 3*b. Suppose 0 = -2*o + a + 2*a + 18, -q*o = a - 5. Factor 6*d**5 + 2*d - 2*d**o - d - 3*d**5 - 2*d**5.
d*(d - 1)**2*(d + 1)**2
Let o = 18 - 13. Let n(w) = w - 2. Let m be n(o). Suppose -2*t + t**2 - m*t + 3*t = 0. What is t?
0, 2
Let q(u) = -u**2 + 5*u + 1. Let i(p) = 7*p - 9 + 10 + p**2 - 2*p**2. Let k(r) = 5*i(r) - 7*q(r). Factor k(y).
2*(y - 1)*(y + 1)
Determine g, given that 10 - 16*g + 41*g - 6*g**2 - 9*g**2 = 0.
-1/3, 2
Factor -21*o + 10*o + 0*o**2 + 5*o + 3*o**2 - 9.
3*(o - 3)*(o + 1)
Let h(d) be the second derivative of 1/120*d**6 + 0 + 0*d**2 - 1/40*d**5 + 0*d**4 + 0*d**3 + 8*d. Determine w, given that h(w) = 0.
0, 2
Let g(r) be the first derivative of 1/2*r**3 - 1/8*r**4 - 3 - 3/10*r**5 - 1/12*r**6 + 1/2*r**2 + 0*r. Let g(l) = 0. Calculate l.
-2, -1, 0, 1
Let w(r) be the second derivative of 0 + 1/16*r**4 + 1/8*r**2 + 1/80*r**5 - r + 1/8*r**3. Determine b so that w(b) = 0.
-1
Let w be (-6)/20*(-44)/99. Let d(u) be the second derivative of -1/3*u**3 - u + w*u**4 + 0 + 2/5*u**2 - 1/50*u**5. Factor d(a).
-2*(a - 2)*(a - 1)**2/5
Let g(k) be the first derivative of -1/6*k**3 + k + 2 - 1/4*k**4 + k**2. Let t(j) be the first derivative of g(j). Factor t(q).
-(q + 1)*(3*q - 2)
Factor -17 + 13 + m - 4*m**2 + 6*m + m.
-4*(m - 1)**2
Let u(l) be the second derivative of 0 - 1/2*l**5 - 2*l - 1/42*l**7 - 5/6*l**3 - 5/6*l**4 - 1/2*l**2 - 1/6*l**6. Factor u(w).
-(w + 1)**5
Let u(h) be the third derivative of -h**6/180 - h**5/9 - 17*h**4/36 - 8*h**3/9 - 78*h**2. Suppose u(o) = 0. What is o?
-8, -1
Suppose 11*w = 9*w. Factor w*i**3 - 4*i**3 + 3*i**3 - 2*i**4 + 4*i**4 - i**5.
-i**3*(i - 1)**2
Let v(i) be the third derivative of 0*i**5 + 1/840*i**8 + 0*i + 0*i**4 + 0*i**3 + 0 + 1/300*i**6 - 4*i**2 + 2/525*i**7. Suppose v(y) = 0. What is y?
-1, 0
Let u(w) = -16*w**4 + 23*w**3 - 9*w**2 - 9*w + 9. Let n(t) = -4*t**4 + 6*t**3 - 2*t**2 - 2*t + 2. Let h(j) = -9*n(j) + 2*u(j). Factor h(d).
4*d**3*(d - 2)
Let w(k) be the third derivative of -1/168*k**8 + 0*k**5 + 0*k**3 + k**2 - 1/30*k**6 + 0*k**4 + 1/35*k**7 + 0*k + 0. Suppose w(o) = 0. What is o?
0, 1, 2
Let a = 81/5 - 537/35. Let d = 1005/7 - 143. Suppose -a*w**3 + 4/7 - d*w**2 + 6/7*w = 0. Calculate w.
-1, -2/3, 1
Let r(q) be the first derivative of -q**4/44 - q**3/33 + 53. Factor r(k).
-k**2*(k + 1)/11
Let c(b) be the third derivative of b**5/210 - 3*b**4/28 + 43*b**2. Factor c(t).
2*t*(t - 9)/7
Let f = -26053065 - -37646677201/1445. Let n = 2/289 - f. Factor 0 - 33/5*p**2 + n*p.
-3*p*(11*p - 2)/5
What is t in t**3 - 15*t**2 - 2*t**3 - 2*t**3 + 8*t**3 + 15*t - 5 = 0?
1
Suppose -12 = -3*x + 2*k, -4*x + 2*k + 2 = 4*k. Let v be 10/x*(0 + 1). Factor 4*a**3 - a**4 - a - 4*a**2 - 1 + v*a - 2*a**2.
-(a - 1)**4
Let c = 115 + -45. Let b be 6/c + 1/5. Find a such that -b*a**2 - 2/7 - 4/7*a = 0.
-1
Suppose 0 = 3*d - 4*d. Let y(f) be the third derivative of -f**2 + 0*f**4 + 1/120*f**6 + d*f**5 + 0 + 0*f + 0*f**3. Factor y(u).
u**3
Let a = 11 + -8. Factor 2*g**3 - g**a - g**2 + 0*g**2 - g + 1.
(g - 1)**2*(g + 1)
Suppose 10 = -2*x + 3*z, x - 3*z + 4 + 4 = 0. Let v be (0 - x)/2 - -1. Factor 2*t**4 + t**4 - 2*t**3 - v*t**5 - 7*t**4.
-2*t**3*(t + 1)**2
Let y(o) be the third derivative of o**8/84 + 2*o**7/35 - o**6/30 - o**5/5 + 5*o**2. Factor 