ive of u**4/26 + 28*u**3/39 + 60*u**2/13 + 144*u/13 - 69. Solve t(h) = 0.
-6, -2
Suppose 0 = -r - 2*b - 3, 0*r + 2*r + 2*b = 0. Suppose 0 + 3/2*y**5 + 0*y**4 + 0*y**2 - r*y**3 + 3/2*y = 0. Calculate y.
-1, 0, 1
Solve 131*l**2 - 127*l**2 + 7 + 12*l + 1 = 0.
-2, -1
What is s in -1/3*s**3 + 1/3*s + 0 - 1/2*s**2 = 0?
-2, 0, 1/2
Let h(z) be the third derivative of z**8/672 - z**6/240 - 20*z**2. Determine j, given that h(j) = 0.
-1, 0, 1
Let g = 72 + -214/3. Let 0*l**3 + 0 + 2/3*l**2 - g*l**4 - 1/3*l**5 + 1/3*l = 0. What is l?
-1, 0, 1
Let a(t) be the third derivative of 0*t**6 + 4/105*t**7 + 1/6*t**4 - 2/15*t**5 + 0 + 10*t**2 + 0*t**3 - 1/84*t**8 + 0*t. Factor a(s).
-4*s*(s - 1)**3*(s + 1)
Let g(q) be the second derivative of -3*q**5/20 + 15*q**4/4 - 75*q**3/2 + 375*q**2/2 - 15*q. Factor g(z).
-3*(z - 5)**3
Suppose 26*d = 24*d + 4. Let a(f) be the second derivative of 0 + 1/14*f**5 + 2/21*f**3 + 0*f**d + 3*f - 1/6*f**4. Solve a(x) = 0.
0, 2/5, 1
Suppose 4*y - 6*y = -6. Suppose -1 + o**2 - 2 - 2*o + 1 + y = 0. What is o?
1
Let u(t) be the third derivative of t**10/151200 - t**9/12096 + t**8/2520 - t**7/1260 - t**5/20 + 4*t**2. Let d(v) be the third derivative of u(v). Factor d(r).
r*(r - 2)**2*(r - 1)
Let s(v) be the first derivative of 4/13*v - 2/65*v**5 + 2/13*v**3 - 1 + 1/26*v**4 - 5/13*v**2. Factor s(x).
-2*(x - 1)**3*(x + 2)/13
Suppose 0*u - 4*u = -8. Let h = 15/77 - -1/11. Find x, given that -2/7 - 2/7*x + 2/7*x**u + h*x**3 = 0.
-1, 1
Factor w**2 + 14*w**4 + 9*w**4 + 8*w**4 - 28*w**4 + w**5 + 3*w**3.
w**2*(w + 1)**3
Factor 5/6*h + 1/6*h**2 + 2/3.
(h + 1)*(h + 4)/6
Let p(f) = 3*f - 3*f - 2*f. Let z be p(-2). Factor t + t**3 - z*t**2 + t + t**3.
2*t*(t - 1)**2
Let y = 47 - 31. Let x be (-10)/4 + y/4. Factor -1/4*n + n**4 + n**2 - x*n**3 + 0 - 1/4*n**5.
-n*(n - 1)**4/4
Suppose -3*z + z + 4*u - 12 = 0, 4*z = -2*u + 26. Let p be (z/10)/(7/35). Factor -2/7*y**p - 6/7*y - 4/7.
-2*(y + 1)*(y + 2)/7
Let t(l) be the second derivative of -49*l**5/10 + 28*l**4/3 - 16*l**3/3 - 27*l. Let t(g) = 0. Calculate g.
0, 4/7
Let y(t) be the first derivative of 1/9*t**4 - 3 - 2/9*t - 2/9*t**2 + 2/45*t**5 + 0*t**3. Factor y(c).
2*(c - 1)*(c + 1)**3/9
Let h(b) = b**3 - b**2 + b. Let y(i) = 9*i**2 - 10*i - i**2 - 12*i**3 + 3*i**2. Let k(j) = -22*h(j) - 2*y(j). Find p, given that k(p) = 0.
-1, 0, 1
Let w(k) = k**3 - 5*k**2. Let a be w(5). Suppose 4*u - u + 12 = a, 5*s + 2*u = 2. Suppose z - 3*z**3 - 4*z + 0*z**2 + 6*z**s = 0. Calculate z.
0, 1
Let w be -4*(-3)/10*-5. Let s be 2 - ((-33)/w + -4). Solve 1/2*r - s*r**3 - 3/2*r**2 + 1/2*r**4 + 1 = 0.
-1, 1, 2
Suppose -4*p - 3*t + 22 = -5*t, -14 = -3*p + t. Find c, given that 3 - 4*c**2 + p*c + 4*c - 1 = 0.
-1/4, 2
Let f(m) = m**2 + 4*m. Let l be f(-4). Let d be ((-18)/(-27))/(-2 - 22/(-6)). Factor 2/5*q + l + 0*q**2 - d*q**3.
-2*q*(q - 1)*(q + 1)/5
Let 9/4*t**5 + 11/4*t**4 - 1/2*t - 11/4*t**2 - 7/4*t**3 + 0 = 0. What is t?
-1, -2/9, 0, 1
Let a be (-25)/(-40) + (4 + -6)/16. Solve 1/2 + y + a*y**2 = 0 for y.
-1
Let r(c) be the first derivative of -c**7/840 + c**6/360 + c**5/60 + c**3/3 - 1. Let s(j) be the third derivative of r(j). Let s(h) = 0. What is h?
-1, 0, 2
Suppose 4*f = f. Let n(z) be the first derivative of 0*z**5 + 0*z**2 + f*z**3 - 2 - 1/27*z**6 + 0*z + 0*z**4. Solve n(q) = 0.
0
Let s(a) = -a**3 + 8*a**2 - 8*a + 8. Let n be s(7). Suppose 8 + n = 3*p. Factor h**4 + 3*h - 2*h - 2*h**2 + 5*h**2 + 3*h**p.
h*(h + 1)**3
Suppose -m = -y + 2, -4*m = -y - 3 + 2. Let p be (4/(-66))/(m/(-9)). Factor p*s - 4/11*s**3 + 2/11 - 2/11*s**5 - 6/11*s**4 + 4/11*s**2.
-2*(s - 1)*(s + 1)**4/11
Let k(x) be the second derivative of -x**9/4032 + x**8/1120 - x**7/1120 - x**3/6 - 4*x. Let y(i) be the second derivative of k(i). Find g such that y(g) = 0.
0, 1
Let k be 0/((7 - 2) + -2). Let i(d) be the third derivative of 0*d**4 + 0 - 1/30*d**5 - 1/60*d**6 + 0*d + k*d**3 - d**2. Factor i(t).
-2*t**2*(t + 1)
Let o(g) = -10*g**4 + 10*g**3 - 5*g**2. Let u(n) = -9*n**4 + 10*n**3 - 4*n**2. Let t(f) = -4*o(f) + 5*u(f). Factor t(s).
-5*s**3*(s - 2)
Let m(q) = q**3 + q - 1. Let s(z) = 6*z**3 - 4*z**2 - 2*z + 2. Let p(d) = 2*m(d) - s(d). Factor p(u).
-4*(u - 1)**2*(u + 1)
Let c be (-8)/(-6)*(3 + 0). Factor -1/3*t**c + 2/3*t**2 + 0*t**3 + 0*t - 1/3.
-(t - 1)**2*(t + 1)**2/3
Let l(d) be the first derivative of d**4/21 - 4*d**3/21 + 9*d + 4. Let m(q) be the first derivative of l(q). What is w in m(w) = 0?
0, 2
Factor -2/19*x**5 + 0*x + 6/19*x**3 + 0 - 4/19*x**2 + 0*x**4.
-2*x**2*(x - 1)**2*(x + 2)/19
Let n(r) = 7*r**3 + 2*r**2 - 3*r - 2. Let y be n(-2). Let a = y + 133/3. Determine z, given that 2/3*z - a*z**2 + 1 = 0.
-1, 3
Let f(m) be the third derivative of m**8/840 - m**7/420 - m**6/180 + m**5/60 + m**3/2 - m**2. Let k(g) be the first derivative of f(g). Factor k(r).
2*r*(r - 1)**2*(r + 1)
Let o(n) be the first derivative of -n**5/90 + n**3/27 - 2*n - 3. Let f(r) be the first derivative of o(r). Solve f(m) = 0 for m.
-1, 0, 1
Let m(s) be the third derivative of -2*s**7/105 - s**6/15 + s**4/3 + 2*s**3/3 - 6*s**2. Factor m(y).
-4*(y - 1)*(y + 1)**3
Factor 0*j**2 + 26*j**3 - 23*j**3 - 9*j**2.
3*j**2*(j - 3)
Let f(d) = d**3 + 12*d**2 - 2*d - 3. Let c be f(-12). Suppose -142*n**2 - c*n - 6 + 21*n**3 + 148*n**2 + 0 = 0. Calculate n.
-1, -2/7, 1
Let n(z) be the second derivative of 1/5*z**6 - 1/14*z**7 + 0*z**2 + 0*z**5 + 6*z + 0 + 1/2*z**3 - 1/2*z**4. Determine m so that n(m) = 0.
-1, 0, 1
Let t = -1 - -1. Suppose v + t*v - 2 = 0. Find r, given that r**2 - v + 4*r - 2*r + r - 2*r = 0.
-2, 1
Let d(b) be the first derivative of -2*b**3/39 - 16*b**2/13 - 128*b/13 + 17. Factor d(r).
-2*(r + 8)**2/13
Suppose -t + 7 = 5*v + 2*t, -5*t = -5*v + 15. Let m(r) = r**3 + 6*r**2 + 5*r + 4. Let b be m(-5). Let 3*o**3 - o**b - 3*o**2 - 7 + 5 + o + v = 0. What is o?
0, 1
Solve 0 - 2/3*j**2 + 2/3*j = 0 for j.
0, 1
Let t = -66 - -68. Determine r, given that -5/4*r + 1/2*r**3 - 7/4*r**4 + 3/4*r**5 + 1/4 + 3/2*r**t = 0.
-1, 1/3, 1
Let z(s) be the second derivative of -s**7/42 + s**5/20 - s. Determine i so that z(i) = 0.
-1, 0, 1
Let m(c) be the third derivative of c**9/3024 - c**8/1680 + c**3/3 - c**2. Let q(o) be the first derivative of m(o). Factor q(g).
g**4*(g - 1)
Factor 8/7*d**2 - 12/7*d**3 + 4/7*d + 0.
-4*d*(d - 1)*(3*d + 1)/7
Let s(c) be the third derivative of c**10/40320 + c**9/10080 - c**4/12 + 5*c**2. Let l(p) be the second derivative of s(p). Factor l(j).
3*j**4*(j + 2)/4
Let a(o) be the second derivative of o**6/30 + o**5/5 - 8*o**3/3 - 7*o**2/2 - o. Let l(d) be the first derivative of a(d). Find y, given that l(y) = 0.
-2, 1
Let d be 1 - -2 - (-66)/2. Let l be (-4)/6*d/(-6). Factor 0 - 2/3*s**l - 2/3*s**2 + 0*s + 4/3*s**3.
-2*s**2*(s - 1)**2/3
Let t(u) = u**2 - 7*u + 8. Let b be t(6). Let a be b/15*20/3. Factor -a - 2/9*v**2 - 8/9*v.
-2*(v + 2)**2/9
Suppose 3 + 15/2*g + 3*g**2 = 0. Calculate g.
-2, -1/2
Solve 0*v - 4/5*v**2 + 0*v**3 + 2/5*v**4 + 2/5 = 0.
-1, 1
Factor -2*r**3 - 4 + 2*r**4 + 4 - 2*r**2 + 2*r.
2*r*(r - 1)**2*(r + 1)
Let b(m) be the first derivative of -m**3/15 - m**2/5 - m/5 + 13. Factor b(c).
-(c + 1)**2/5
Let q(o) be the first derivative of 11/3*o**3 + 17/5*o**5 - 5/6*o**6 + 0*o - 1 - 21/4*o**4 - o**2. Factor q(w).
-w*(w - 1)**3*(5*w - 2)
Let h(t) be the second derivative of 0*t**2 - 2/15*t**3 + 0 + 4*t - 1/15*t**4. Factor h(r).
-4*r*(r + 1)/5
Factor -81 + 9*u - 1/4*u**2.
-(u - 18)**2/4
Let h(n) be the second derivative of n**4/3 + 2*n. Factor h(t).
4*t**2
Let g = -1/41 + 333/205. Solve 0 - 8/5*m - g*m**2 + 6/5*m**3 = 0.
-2/3, 0, 2
Let t(i) = -i**4 - i**3 - i**2 - i - 1. Let k(h) = -4*h - 9 + 1 - 6*h**2 - 7*h**4 + 2 - 8*h**3 - 2*h + h**5. Let v(l) = -k(l) + 6*t(l). Factor v(p).
-p**3*(p - 2)*(p + 1)
Let y(f) = -3*f**4 - 3*f**3 + 3*f**2 + 9*f - 6. Let k(v) = 3*v**4 + 3*v**3 - 3*v**2 - 8*v + 5. Let o(u) = 6*k(u) + 5*y(u). Let o(c) = 0. What is c?
-1, 0, 1
Let s(w) be the second derivative of w**7/70 + w**6/50 - 3*w**5/100 - w**4/20 + 6*w. Suppose s(x) = 0. What is x?
-1, 0, 1
Let u be 3/(-12)*(-15)/1350. Let b(d) be the third derivative of 1/180*d**5 + 0*d**4 + 0*d - u*d**6 + 0*d**3 + 0 + 4*d**2. Find j such that b(j) = 0.
0, 1
Let w(i) = -41*i + 5. Let o be w(0). Find t, given that -20/7*t**3 - 4/7 + 0*t**2 + 20/7*t**4 + 10/7*t - 6/7*t**o = 0