se -d + z + 6 = 0, -3 = 3*z + 12. Let k be d - -1 - (-16)/(-10). Solve 2/5 + 4/5*s**3 - 4/5*s + 0*s**2 - k*s**4 = 0.
-1, 1
Let f = -33 - -67/2. Factor 0 + 0*u + f*u**3 - 1/4*u**2 - 1/4*u**4.
-u**2*(u - 1)**2/4
Let i(m) be the first derivative of m**7/315 - m**5/45 + m**3/9 + 2*m**2 + 3. Let o(p) be the second derivative of i(p). Solve o(x) = 0.
-1, 1
Let c(h) be the first derivative of 1/24*h**3 + 1/4*h - 5 + 1/16*h**4 - 5/16*h**2. What is w in c(w) = 0?
-2, 1/2, 1
Let p = 12 + -16. Let j be ((-4)/6)/(p/18). What is b in 0 + 0*b + 2/5*b**j - 2/5*b**2 = 0?
0, 1
Let q(v) be the first derivative of -1/6*v**4 - 1 + 2/9*v**3 + 2/3*v**2 + 0*v. Factor q(l).
-2*l*(l - 2)*(l + 1)/3
Factor 0*l + 2/7 - 4/7*l**2 + 2/7*l**4 + 0*l**3.
2*(l - 1)**2*(l + 1)**2/7
Suppose -5*t + 37 - 17 = 0. Let k(r) be the second derivative of 7/50*r**5 + 13/15*r**t + r + 0 + 4/3*r**3 - 8/5*r**2. Suppose k(a) = 0. What is a?
-2, 2/7
Suppose 20 = 3*t + t. Let n(f) be the first derivative of -1 - 1/2*f**4 - 1/18*f**6 - 1/6*f**2 + 4/15*f**t + 4/9*f**3 + 0*f. Let n(q) = 0. Calculate q.
0, 1
Let b(w) be the second derivative of w**6/105 - w**5/35 + w**4/42 - 2*w. Let b(h) = 0. What is h?
0, 1
Let v(r) be the third derivative of r**8/672 + r**7/420 - r**6/240 - r**5/120 + 7*r**2. Factor v(x).
x**2*(x - 1)*(x + 1)**2/2
Factor -20*d - 20*d**2 - 5*d - 5*d**3 - 5 - 6 + 1.
-5*(d + 1)**2*(d + 2)
Let j(y) be the second derivative of -y**5/5 - y**4 + 2*y**3/3 + 6*y**2 + 35*y. Solve j(c) = 0.
-3, -1, 1
Let c(t) be the third derivative of -t**6/120 - t**5/60 + t**4/4 - 35*t**2. Factor c(v).
-v*(v - 2)*(v + 3)
Let v(i) be the second derivative of -i**5/5 - 2*i**4/3 + 2*i**3/3 + 4*i**2 - 12*i. Factor v(n).
-4*(n - 1)*(n + 1)*(n + 2)
Let v = 3 + -3. Suppose v = 4*z, 0 = -0*k + 2*k + z - 4. Suppose 2 - 18*n**k - 2*n - 26*n**3 - 8*n**4 + 4*n**3 + 0*n**3 = 0. What is n?
-1, 1/4
Let j(i) be the first derivative of i**4/26 - 22*i**3/39 + 24*i**2/13 + 72*i/13 + 17. Factor j(h).
2*(h - 6)**2*(h + 1)/13
Let z = 9 + -7. Suppose -5*k - 37 = -4*c, -5*k + 5 = c + 27. Solve c*l**2 - 5*l**z - 2*l - 4*l + 2*l = 0 for l.
-2, 0
Let n be (-1 + 1*-1)/((-13)/13). Factor r - 1/4*r**n - 1.
-(r - 2)**2/4
Let j = -34 - -54. Suppose 3*i - j = -i. Factor -49/2*d**i - 18*d**2 - 63*d**4 + 0 - 109/2*d**3 - 2*d.
-d*(d + 1)**2*(7*d + 2)**2/2
Let d be (11 - 8)/((-66)/(-4)). Factor -4/11 + 4/11*o**2 + 2/11*o**3 - d*o.
2*(o - 1)*(o + 1)*(o + 2)/11
Let f(i) be the second derivative of i**6/10 - i**4/4 + 3*i. Factor f(l).
3*l**2*(l - 1)*(l + 1)
Suppose 0*k - 12 = -k. Let z be k/3 - 1/1. Suppose 1 + 3*m**2 - m**z - 3*m + 0 + 0 = 0. What is m?
1
Determine f, given that 0*f**2 - 1/6*f + 1/6*f**3 + 0 = 0.
-1, 0, 1
Let q(h) be the third derivative of 0*h**4 + 0*h - 1/240*h**6 + 0*h**7 + 0 + 0*h**5 + 0*h**3 + 1/672*h**8 - 3*h**2. Factor q(t).
t**3*(t - 1)*(t + 1)/2
Let u be (4/8)/(-1)*0. Suppose -4*x - 11 = -3*s - 3, -4*x - 8 = 0. Determine i, given that -4/5*i**2 + s*i**3 + 2/5 + 2/5*i**4 + u*i = 0.
-1, 1
Factor 8*w**2 + 4/5 - 26/5*w - 18/5*w**3.
-2*(w - 1)**2*(9*w - 2)/5
Let o(y) be the first derivative of y**6/9 - 4*y**5/15 - y**4/3 + 8*y**3/9 + y**2/3 - 4*y/3 + 23. Solve o(g) = 0.
-1, 1, 2
Let z(f) be the first derivative of -3*f**4/4 - 8*f**3 - 39*f**2/2 - 18*f - 6. Let z(o) = 0. Calculate o.
-6, -1
Suppose 441*n - 20 = 436*n. Find b such that 5/2*b**3 + 3*b**2 - 2*b + 1/2*b**n - 4 = 0.
-2, 1
Let q(x) be the second derivative of x**4/32 - x**3/4 + 3*x**2/4 - 12*x. Find v such that q(v) = 0.
2
Let i(x) be the third derivative of x**6/300 - x**5/150 - x**4/30 + 4*x**2 + 4. Factor i(j).
2*j*(j - 2)*(j + 1)/5
Let h(g) be the third derivative of g**7/210 - g**5/20 + g**4/12 - 5*g**2. Factor h(j).
j*(j - 1)**2*(j + 2)
Let c(w) be the first derivative of -1/2*w - 1/2*w**3 + 1/8*w**4 + 3/4*w**2 + 2. Factor c(b).
(b - 1)**3/2
Suppose -21*r = -9*r - 24. Factor -i - 1/4*i**r - 3/4.
-(i + 1)*(i + 3)/4
Let g be (4/6)/((-1)/(-3)). Suppose n + g*n = 21. Let 2*m**4 + 0*m**5 - 2*m**3 - n*m**5 + m**3 + 6*m**5 = 0. What is m?
0, 1
Let d(i) be the third derivative of -i**7/2940 - i**6/1260 + i**5/420 + i**4/84 + i**3/3 - 3*i**2. Let j(n) be the first derivative of d(n). Factor j(p).
-2*(p - 1)*(p + 1)**2/7
Let h(g) be the second derivative of 1/5*g**2 - 1/30*g**3 + 3*g + 0 - 1/60*g**4. Solve h(s) = 0.
-2, 1
Let h(d) = -7*d**2 + 4*d + 2. Let i(t) = 36*t**2 - 21*t - 11. Let y = 0 - -2. Let m(k) = y*i(k) + 11*h(k). Factor m(l).
-l*(5*l - 2)
Let 2/5*j**2 + 0 + 4/5*j - 2/5*j**3 = 0. Calculate j.
-1, 0, 2
Let b(s) be the third derivative of 1/12*s**4 - 1/60*s**5 + 0 + 0*s + 3*s**2 + 1/2*s**3. Let b(v) = 0. Calculate v.
-1, 3
Let u = -2 - -12. Let t be 24/10 + (-4)/u. Factor 0*l**2 - 4 + 0*l**2 + 5 + l**t + 2*l.
(l + 1)**2
Let a = 8147 + -48773/6. Let c = a + -35/2. Determine n, given that 2/3*n**3 - c*n**2 + 0*n + 0 = 0.
0, 1
Let t(w) = -3*w**4 + 2*w**3 + 2*w**2 + 2*w + 1. Let h = -5 - -3. Let i = 5 + -1. Let r(b) = -b**4 + b**3 + b + 1. Let q(c) = h*t(c) + i*r(c). Factor q(l).
2*(l - 1)**2*(l + 1)**2
Let j(w) be the third derivative of w**5/15 - w**4/6 - 4*w**3/3 - 2*w**2. Let j(m) = 0. What is m?
-1, 2
Let v(k) be the first derivative of k**8/840 + k**7/175 + k**6/100 + k**5/150 + 3*k**2/2 - 5. Let d(a) be the second derivative of v(a). Solve d(z) = 0.
-1, 0
Suppose -2/11 + 4/11*v**2 + 4/11*v**5 + 14/11*v**4 - 4/11*v + 16/11*v**3 = 0. Calculate v.
-1, 1/2
Let q(w) = w**2 + 6*w + 10. Let s be q(-4). Let k(o) be the first derivative of 4/9*o - 2/27*o**3 + 3 + 1/9*o**s. Let k(a) = 0. What is a?
-1, 2
Let b(s) be the third derivative of -2*s**7/105 + s**6/6 - 2*s**5/5 - 2*s**4/3 + 16*s**3/3 + 7*s**2. Suppose b(k) = 0. What is k?
-1, 2
Let f(c) = -c**2 + 8*c + 9. Let y be f(9). Let g = 3 - y. Let -9*v**g - 3*v**4 + 6 + 4*v + v + 4*v - 3*v**2 + 0*v = 0. Calculate v.
-2, -1, 1
Let a(b) be the second derivative of b**4/16 + b**3/8 - 7*b. Determine f so that a(f) = 0.
-1, 0
What is j in -1/2 + 2*j**2 - 3/2*j = 0?
-1/4, 1
Let k be 140/5 + 5/(15/6). Factor -k*z**3 + 3*z + 71/4*z**2 - 1 - 100*z**4.
-(4*z - 1)**2*(5*z + 2)**2/4
Find i, given that 2/9*i**2 - 2/3 - 4/9*i = 0.
-1, 3
Let d be ((-1)/((-2)/14))/(-1). Let c be (-2)/d + (-19)/(-7). Factor 2*i - 3*i - 7*i**3 + 8*i**c.
i*(i - 1)*(i + 1)
Let d be (-2)/17 + (-457)/(-561). Let b = -1/33 + d. Factor -b*z - 2/3*z**2 + 2/3*z**3 + 0 + 2/3*z**4.
2*z*(z - 1)*(z + 1)**2/3
Let u(j) = j**2 - 15*j + 3. Let o(f) = -16*f + 2. Let v(n) = -6*o(n) + 4*u(n). Find a, given that v(a) = 0.
-9, 0
Let o be (48/108)/((-2)/(-9)). Solve 0 - 1/4*c + 3/4*c**o = 0 for c.
0, 1/3
Let c(g) = -3*g**3 + 3*g - 12. Let n(s) = 9*s**3 - s**2 - 9*s + 35. Let r(y) = 17*c(y) + 6*n(y). Solve r(x) = 0 for x.
-1, 1, 2
Let h(m) = 11*m**2 - m - 1. Let t be h(-2). Let s be 150/t + 0 + -3. Suppose 1/3 + q**2 - s*q**3 - q = 0. Calculate q.
1
Let w(r) = 4*r + 84. Let h be w(-20). Let j(t) be the second derivative of -1/9*t**3 + 3*t + 0*t**2 + 0 - 1/18*t**h. Factor j(b).
-2*b*(b + 1)/3
Solve 6/11*m - 14/11*m**3 - 26/11*m**2 - 2/11*m**4 + 36/11 = 0 for m.
-3, -2, 1
Let f(m) be the second derivative of -m - 1/50*m**5 + 0 + 1/10*m**4 + 0*m**2 + 1/600*m**6 - 1/2*m**3. Let a(z) be the second derivative of f(z). Factor a(c).
3*(c - 2)**2/5
Let a(i) be the first derivative of -i**4/16 + 5*i**3/12 - 3*i**2/8 - 9*i/4 + 7. Determine b so that a(b) = 0.
-1, 3
Let p = 25 + -21. Let -1/2*d**2 + 1/2*d**3 - 1/2*d**5 + 0*d + 0 + 1/2*d**p = 0. What is d?
-1, 0, 1
Suppose 6*w = -16*w + 5*w. Determine d, given that w - 6/5*d**2 - 2/5*d**4 + 6/5*d**3 + 2/5*d = 0.
0, 1
Suppose 0 = 4*m - 51 - 21. Let o = m + -71/4. Let 0*i + o*i**2 + 0 = 0. Calculate i.
0
Let y(i) be the third derivative of -5*i**7/42 - i**6/8 + i**5/6 + 12*i**2. Factor y(k).
-5*k**2*(k + 1)*(5*k - 2)
Factor -18*p + 27 - 4*p**4 + 20*p**3 - 36*p**2 + 28 + 46*p - 63.
-4*(p - 2)*(p - 1)**3
Let l(p) = -p + 19. Let k be l(17). Suppose 0*o + 0 + 0*o**k - 1/2*o**3 + 1/2*o**4 = 0. What is o?
0, 1
Let z(i) = -12*i**2 - 24*i - 12. Let m(r) be the third derivative of r**5/20 + r**4/4 + r**3/2 + r**2. Let d(b) = -21*m(b) - 5*z(b). Solve d(w) = 0.
-1
Let k(l) be the third derivative of -l**8/40320 + l**6/4320 + 3*l**4/8 - 5*l**2. Let s(n) be the second derivative of k(n). Factor s(i).
-i*(i - 1)*(i + 1)/6
Let t(u) be the fir