cond derivative of x**6/90 - x**5/30 - x**4/12 - 10*x. Solve g(a) = 0 for a.
-1, 0, 3
Let b(y) = y**3 - 7*y**2 + 3*y + 5. Let j be b(6). Let z = j + 15. Factor 1/2*d + 1/2*d**z - 1.
(d - 1)*(d + 2)/2
Let b be ((-12)/(-15))/((-2)/(-5)). Factor 3*y**4 + 7*y - 3*y**b + 2*y - 9*y.
3*y**2*(y - 1)*(y + 1)
Let b = 27/182 + 11/26. Factor -2/7*l + b - 2/7*l**2.
-2*(l - 1)*(l + 2)/7
Suppose -4*p - 4 = 3*w - 6, -p - 8 = 5*w. Let t(o) be the first derivative of -p - 1/6*o**2 - 8/9*o**3 + 2/3*o - 5/12*o**4. What is n in t(n) = 0?
-1, 2/5
Let l = 57 + -55. Let q(u) be the second derivative of 0 + 1/6*u**4 - l*u + 0*u**5 - 1/15*u**6 + 0*u**2 + 0*u**3. Solve q(k) = 0.
-1, 0, 1
Let y(i) = i**3 + i**2 - i + 4. Let n be y(0). Solve 3*h**n + 1 + 7*h**3 - h**3 + 3*h**2 - 1 = 0 for h.
-1, 0
Let s(l) be the second derivative of -l**6/6 - 5*l**5/4 - 15*l**4/4 - 35*l**3/6 - 5*l**2 - 4*l. Determine w so that s(w) = 0.
-2, -1
Suppose -4*z**3 + 3*z**3 + 2*z + 2*z + 2*z**2 - 3*z - 2 = 0. What is z?
-1, 1, 2
Let j(m) be the second derivative of m**6/15 - 7*m**5/40 - 7*m**4/12 - m**3/4 - 9*m. Factor j(l).
l*(l - 3)*(l + 1)*(4*l + 1)/2
Suppose 5*r - r - 12 = 0. Suppose 0 = -3*q - 3, 0*a - r*q = 3*a - 9. Factor -2*c**2 + 0*c**a - 4*c**4 + 6*c**4.
2*c**2*(c - 1)*(c + 1)
Suppose w + 16 = 5*w. Let l(r) be the first derivative of 1/5*r**5 + 1/4*r**w - 1/2*r**2 - 1/3*r**3 + 0*r - 2. Determine x, given that l(x) = 0.
-1, 0, 1
Let q(g) be the first derivative of -g**6/2 + 38*g**5/15 - 31*g**4/6 + 16*g**3/3 - 17*g**2/6 + 2*g/3 - 9. Determine w so that q(w) = 0.
2/9, 1
Let v(n) be the third derivative of -4*n**7/525 - n**6/100 + n**5/150 - 6*n**2. Suppose v(h) = 0. Calculate h.
-1, 0, 1/4
Let b(f) be the second derivative of -13*f**7/420 + f**6/120 + 2*f**2 - 4*f. Let k(q) be the first derivative of b(q). Factor k(i).
-i**3*(13*i - 2)/2
Let m be ((-5)/(-10))/((-3)/(-18)). Factor 2/3*g**2 - 1/3*g**m - 1/3*g + 0.
-g*(g - 1)**2/3
Suppose 13*x - 8*x = -15. Let p be (-95)/(-75) + (-1)/x. Factor -2/5 + p*j**3 + 8/5*j - 12/5*j**2 - 2/5*j**4.
-2*(j - 1)**4/5
Let r(f) be the second derivative of -f**7/21 + 4*f**6/15 - f**5/2 + f**4/3 + 4*f. Factor r(z).
-2*z**2*(z - 2)*(z - 1)**2
Let c be ((-9)/4)/((-2)/(-8)). Let b be c/(-4)*2/9. Factor -13/4*a - 7/4*a**4 - b - 27/4*a**2 - 23/4*a**3.
-(a + 1)**3*(7*a + 2)/4
Let i(u) = u + 13. Let o be i(-7). Suppose -4*x + 18 = -3*s, -4*x = -s + 4*s - o. Factor -2/3*h**2 + 2/3*h**4 + 0 + 0*h + 2/3*h**x - 2/3*h**5.
-2*h**2*(h - 1)**2*(h + 1)/3
Let n(s) be the second derivative of 1/6*s**6 + 0*s**2 - 1/3*s**3 - 1/20*s**5 + 0 - 2*s - 5/12*s**4 + 1/14*s**7. Factor n(y).
y*(y - 1)*(y + 1)**2*(3*y + 2)
Let i(w) = -4*w**2 + 18*w - 24. Let l(b) = -16*b**2 + 71*b - 96. Let q(r) = 9*i(r) - 2*l(r). Factor q(m).
-4*(m - 3)*(m - 2)
Factor 4/3*l + 4/3 + 1/3*l**2.
(l + 2)**2/3
Let -3*c**2 - c**2 + c**3 + 2*c**2 - c**4 + 2*c**4 = 0. Calculate c.
-2, 0, 1
Let w(n) be the second derivative of 7*n**7/3 + 217*n**6/15 + 128*n**5/5 - 4*n**4/3 - 80*n**3/3 + 16*n**2 + 5*n. Solve w(a) = 0.
-2, -1, 2/7
Factor -1/3*h**2 - 4/3*h - 1.
-(h + 1)*(h + 3)/3
Let a(f) be the second derivative of -f**7/6 - f**6/5 - f**5/15 - f**2 - 2*f. Let j(i) be the first derivative of a(i). Factor j(d).
-d**2*(5*d + 2)*(7*d + 2)
Let 25/3 + 10/3*j + 1/3*j**2 = 0. What is j?
-5
Solve -2/13*k**5 + 4/13*k - 2/13*k**4 + 6/13*k**3 + 10/13*k**2 + 0 = 0 for k.
-1, 0, 2
Factor 3/2*b**5 + 3*b**3 + 9/2*b**4 - 9/2*b - 3/2 - 3*b**2.
3*(b - 1)*(b + 1)**4/2
Let i(q) = 65*q**2 + 65*q. Let v(z) = 5*z**2 + 5*z. Let j(y) = 3*i(y) - 40*v(y). Factor j(u).
-5*u*(u + 1)
Let v(q) be the first derivative of q**3 - 2*q**2 - 4*q + 3. Let t(w) = -2*w**2 + 3*w + 3. Let f(k) = -4*t(k) - 3*v(k). Factor f(z).
-z**2
Let z(n) be the third derivative of -n**6/720 - n**5/120 - n**4/72 - 5*n**2. Determine r so that z(r) = 0.
-2, -1, 0
Determine s so that 4*s - 16*s - 2*s**2 + 4*s + 2*s = 0.
-3, 0
Let a(z) be the second derivative of z**6/285 + z**5/95 - 2*z**3/57 - z**2/19 - 14*z. Factor a(t).
2*(t - 1)*(t + 1)**3/19
Let h(f) = -f**3 + 12*f**2 - 9*f - 11. Let g be h(11). Suppose 2*s - s**3 - 26*s + 8 - g*s**3 + 9*s**2 + 2*s**4 + 17*s**2 = 0. Calculate s.
1, 2
Factor 0*u + 0 + 1/6*u**3 + 1/2*u**2.
u**2*(u + 3)/6
Let i = -9 + 5. Let l = 6 + i. Factor -1/2*b**3 + 1/2*b**l + 0*b + 0.
-b**2*(b - 1)/2
Let d(m) be the first derivative of m**6/27 - 4*m**5/15 + m**4/2 - 1. Factor d(o).
2*o**3*(o - 3)**2/9
Factor 5*h**3 - 3*h**4 - 16*h**4 - h**4.
-5*h**3*(4*h - 1)
Suppose -5 = -2*u - 5. Let d(o) be the second derivative of -1/60*o**6 - 3*o + 0 + 0*o**3 + 0*o**5 + 1/24*o**4 + u*o**2. Factor d(a).
-a**2*(a - 1)*(a + 1)/2
Let a(s) be the first derivative of 4*s**3/21 + 6*s**2/7 + 13. Let a(q) = 0. Calculate q.
-3, 0
Suppose 0 = -x - 4*x. Suppose 2*m + 4*a = 16, x = -2*m - a + 9 - 2. Solve g**2 - 1 - m*g**3 + g**4 + 1 = 0 for g.
0, 1
Let l be (-106)/2*(-3)/6. Let r = -26 + l. Find c, given that -r*c**2 + 0 - 1/2*c = 0.
-1, 0
Let z be (2/6)/(15/(-1125)). Let x be (5/z)/(1/(-2)). Let x - 2/5*y**2 - 6/5*y + 6/5*y**3 = 0. Calculate y.
-1, 1/3, 1
Let x = 260/381 - 2/127. Let r(j) be the first derivative of 1/5*j**5 - 1/2*j**2 + 2 - x*j**3 + j - 1/6*j**6 + 1/2*j**4. Factor r(z).
-(z - 1)**3*(z + 1)**2
Let i(h) = h. Let t be i(2). Solve t*k**4 + 4*k**4 - 2*k**4 + 0*k**4 - 12*k**5 + 8*k**3 = 0.
-2/3, 0, 1
Factor 0*i**2 - 23*i + 0*i**2 + 3*i**2 + 8*i.
3*i*(i - 5)
Let w = 5/198 + 1/90. Let j = 47/220 + w. Factor -3/4*c + j*c**5 - 1/4 + 3/4*c**4 - 1/2*c**2 + 1/2*c**3.
(c - 1)*(c + 1)**4/4
Let k = -35 - -35. Suppose k*r = 4*r. Factor -3/5*g**5 + 0 - 3/5*g**4 + 6/5*g**3 + r*g**2 + 0*g.
-3*g**3*(g - 1)*(g + 2)/5
Let s(k) be the second derivative of -k**8/13440 - k**4/3 - 2*k. Let r(c) be the third derivative of s(c). Factor r(z).
-z**3/2
Let p = 898 - 2693/3. Factor -1/3*n**5 - p*n**2 + 0 + 0*n + 1/3*n**4 + 1/3*n**3.
-n**2*(n - 1)**2*(n + 1)/3
Let j(z) be the third derivative of -z**10/196560 + z**8/21840 - z**6/4680 - z**4/6 - 6*z**2. Let a(r) be the second derivative of j(r). Solve a(s) = 0 for s.
-1, 0, 1
Let j(k) = -7*k**3 - 13*k**2 - 7*k. Let n(m) = 3*m**3 + 6*m**2 + 3*m. Let p(q) = 4*j(q) + 9*n(q). Factor p(l).
-l*(l - 1)**2
Let a(z) be the third derivative of z**6/200 + 2*z**5/75 - z**4/40 - 18*z**2. Factor a(d).
d*(d + 3)*(3*d - 1)/5
Let o be 94/30 + (7 - 107/15). Factor -184/5*a - 756/5*a**2 - 1274/5*a**o - 686/5*a**4 - 16/5.
-2*(a + 1)*(7*a + 2)**3/5
What is c in -8/3*c**3 + 0*c - 4/3*c**2 - 4/3*c**4 + 0 = 0?
-1, 0
Let m(h) be the first derivative of h**4/2 + 2*h**3 + 2*h**2 + 13. Factor m(y).
2*y*(y + 1)*(y + 2)
Find s, given that -3/4*s**4 - 1/2*s**5 + 1/4*s + 1/4*s**3 + 0 + 3/4*s**2 = 0.
-1, -1/2, 0, 1
Let a(v) = -7*v**2 - 7*v - 4. Let l(m) = -6*m**2 - 7*m - 3. Let d(q) = -5*a(q) + 6*l(q). Let h be d(-7). Factor -1/2*y - 3/4*y**4 + 1/2*y**3 + 0 + 3/4*y**h.
-y*(y - 1)*(y + 1)*(3*y - 2)/4
Suppose 17 = 2*u + o, -5*u - 2*o + 44 = -o. Let i be 18/u - 4/14. Find l, given that -20/7*l**3 - 24/7*l**2 - 6/7*l**4 - 2/7 - i*l = 0.
-1, -1/3
Let y be (-6)/(-15)*(-30)/(-312). Let l(c) be the first derivative of 0*c**2 + y*c**4 + 0*c + 3 - 2/65*c**5 + 4/39*c**3. Factor l(q).
-2*q**2*(q - 2)*(q + 1)/13
Let y(n) be the first derivative of -n**8/1344 + n**7/420 - n**5/120 + n**4/96 + n**2 + 1. Let r(i) be the second derivative of y(i). Factor r(h).
-h*(h - 1)**3*(h + 1)/4
Let d = 200 + -197. Factor 0 - 2/9*p**d - 2/9*p - 4/9*p**2.
-2*p*(p + 1)**2/9
Let u(x) = 2*x**3 - 2*x**2 + 8*x - 4. Let i(l) = l - 2*l**2 + 6*l + 2*l - 5 + 3*l**3. Let t = 12 - 17. Let z(f) = t*u(f) + 4*i(f). Factor z(b).
2*b*(b - 1)*(b + 2)
Let a be 5/(-10) - (-11)/14. Suppose -q = -z + 5*z - 13, z - q + 3 = 0. Factor -a*i**3 - 4/7*i + 0 + 6/7*i**z.
-2*i*(i - 2)*(i - 1)/7
Let k be ((30/(-5))/(-6))/(2/4). Let o(r) be the first derivative of 0*r + 4/9*r**3 + 1/3*r**2 - 1/2*r**4 + k. Solve o(v) = 0 for v.
-1/3, 0, 1
Let l be -5 - 133/(-14) - (1 + 2). Let l*b**4 + 0*b**2 + 3*b**3 - 3*b - 3/2 = 0. What is b?
-1, 1
Let j(t) be the third derivative of t**8/4200 + t**7/2100 + 5*t**3/6 - t**2. Let b(z) be the first derivative of j(z). Let b(o) = 0. What is o?
-1, 0
Let l be 4/(-14) + 414/126. Solve 0*t**2 + 1/2*t**l + 1 - 3/2*t = 0.
-2, 1
Let o = -17 - -22. Let -r + 0*r**3 - o*r**2 + 2*r**2 - r**4 - 3*r**3 = 0.