rst derivative of 7*q**4/32 + 3*q**3 + 195*q**2/16 + 25*q/4 - 22. Factor f(z).
(z + 5)**2*(7*z + 2)/8
Let a(q) be the second derivative of -1/90*q**5 - 1/9*q**3 + 2*q + 0 + 1/9*q**2 + 1/18*q**4. Factor a(z).
-2*(z - 1)**3/9
Let z(i) be the third derivative of 0*i + 0*i**3 + 1/30*i**5 - 6*i**2 + 0 - 1/4*i**4. Find q such that z(q) = 0.
0, 3
Let d(n) = n - 17. Let l be d(17). Let y = 233/308 - 1/154. Factor l + y*p - 3/4*p**2.
-3*p*(p - 1)/4
What is a in 4/5 - 2/5*a + 2/5*a**3 - 4/5*a**2 = 0?
-1, 1, 2
Let r be ((-6)/10)/(2/(-10)). Let s be ((-6)/2)/(r/(-4)). Let 1/2 + 0*z + 0*z**3 - z**2 + 1/2*z**s = 0. Calculate z.
-1, 1
Let f(o) be the third derivative of o**7/840 + 3*o**6/320 + 7*o**5/240 + 3*o**4/64 + o**3/24 + 9*o**2. Solve f(s) = 0 for s.
-2, -1, -1/2
Suppose -6*c**3 - 8/5*c**2 + 2*c**5 + 8/5*c + 0 - 4/5*c**4 = 0. Calculate c.
-1, 0, 2/5, 2
Suppose 0 = 4*j - 2*j. Let h be j + 1 - (3 + -4). Factor 0*q**2 - q - 2*q**h - q**3 + 0*q**3.
-q*(q + 1)**2
Let o(i) be the third derivative of -i**8/252 - i**7/105 - i**6/180 + 4*i**2. Solve o(x) = 0 for x.
-1, -1/2, 0
Let y(u) be the third derivative of 1/24*u**4 + 0*u + 0 + 1/480*u**6 - u**2 - 1/60*u**5 + 0*u**3. Factor y(f).
f*(f - 2)**2/4
Let r be 3/9 + (-5)/(-3). Let w be r + 0/(-1 + 2). Find p such that 4 - 10*p**3 - 2*p**w - 2 + 4*p**3 + 6*p = 0.
-1, -1/3, 1
Let k(q) = q + 1. Let d(g) = -3*g**2 + g**2 - 1 - 2*g**4 - g**5 + 4*g**2. Let p(h) = d(h) + k(h). Let p(l) = 0. What is l?
-1, 0, 1
Let l(f) be the second derivative of 0 - 1/4*f**4 + 2*f**3 + 5*f - 6*f**2. What is v in l(v) = 0?
2
Let q(l) be the first derivative of 2/15*l**3 - 7 + 0*l + 0*l**2. Find v, given that q(v) = 0.
0
Let j be (-44)/(-18) + -2 - (-5 + 5). Let 10/9*t**2 - 14/9*t + j = 0. What is t?
2/5, 1
Let m be -1*16 + (-2 - -1). Let u = m - -35/2. Find t, given that -u - 1/4*t + 1/4*t**2 = 0.
-1, 2
Suppose 0 = -5*l + 31 - 11. Find u such that 2 - 12*u + 3*u**4 + 24*u**2 - 3*u**4 + 5*u**4 - 20*u**3 + u**l = 0.
1/3, 1
Let t(r) be the first derivative of 8*r**6/3 + 4*r**5 - 3*r**4 - 20*r**3/3 - 2*r**2 + 3. Solve t(o) = 0 for o.
-1, -1/4, 0, 1
Factor -1/7*p + 5/7*p**2 - 3/7*p**3 - 1/7.
-(p - 1)**2*(3*p + 1)/7
Factor 1680*j + 47 - 1827*j**2 + 93 + 11250*j**4 + 8627*j**2 + 13000*j**3 + 20 + 3125*j**5.
5*(j + 2)*(5*j + 2)**4
Let m(j) be the first derivative of 4*j**6/3 - 14*j**5/5 - 33*j**4/4 + 5*j**3/3 + 13*j**2/2 - 3*j + 8. Find p, given that m(p) = 0.
-1, 1/4, 1/2, 3
Let a(k) be the second derivative of -k**8/1680 + k**7/525 - k**6/600 - 3*k**2/2 + k. Let v(z) be the first derivative of a(z). Factor v(l).
-l**3*(l - 1)**2/5
Let c = -10 - -4. Let u be (-141)/15 - c/(-10). Let l(f) = -f**3 - f**2 + f + 1. Let j(r) = 8*r**3 + 16*r**2 - 16*r - 8. Let n(g) = u*l(g) - j(g). Factor n(k).
2*(k - 1)**3
Suppose 3*m + 2 = 4*m. Let q be m - (2 - (-8)/(-4)). Solve 6/7*v - 2/7*v**5 - 2/7 - 4/7*v**q + 6/7*v**4 - 4/7*v**3 = 0 for v.
-1, 1
Let s = 12 - 11. Let c(u) be the first derivative of s - u - 1/3*u**3 - u**2. Factor c(x).
-(x + 1)**2
Suppose -5*y + 6 = 2*p, y - 2*p - 2 = 2*y. Let n(r) be the first derivative of 1/6*r**4 + 2/15*r**5 + y + 0*r - 1/3*r**2 - 2/9*r**3. Let n(t) = 0. What is t?
-1, 0, 1
Let s(g) be the second derivative of -2*g**6/45 - g**5/5 - g**4/9 + 2*g**3/3 + 4*g**2/3 - 8*g. Let s(n) = 0. What is n?
-2, -1, 1
Let b be -1 - (-9)/(-3) - -3. Let z be b*(-18)/8 - 2. Find d, given that 1/4*d**4 + z + d**3 + d + 3/2*d**2 = 0.
-1
Suppose 5*x + 6 = -5*k - 9, -4*k + 5*x + 33 = 0. Factor 2*p + 3*p**k - 2 - 1 - 3 + p.
3*(p - 1)*(p + 2)
Suppose 0 = -3*v - 5 + 14. Factor 1/3*o - 1/3*o**v + 1/3*o**2 - 1/3.
-(o - 1)**2*(o + 1)/3
Let y be -3*44/33 - (-16)/3. Solve y*j + 2/3 + 2/3*j**2 = 0.
-1
Let l(a) be the first derivative of 2*a**3/9 + a**2/3 - 4*a/3 - 3. Factor l(c).
2*(c - 1)*(c + 2)/3
Let n(x) = x - 5. Let q be n(8). Let w(d) be the first derivative of -2/5*d**2 + 2/5*d**q - 1 + 0*d. What is t in w(t) = 0?
0, 2/3
Let u be 2/(-10)*20/12. Let h = 0 - u. Find r, given that 5/3*r**4 + 2/3*r**3 - 2*r**2 - r**5 + h + 1/3*r = 0.
-1, -1/3, 1
Let k(x) = -x**4 - x**3 - 2*x**2 + 6*x - 2. Let d(c) = -c**4 - 2*c**3 - 3*c**2 + 9*c - 3. Let u(r) = 5*d(r) - 7*k(r). Solve u(b) = 0.
-1, 1/2, 1
Factor -2*a**3 + 17*a**2 - 3*a**2 - 8*a**2.
-2*a**2*(a - 3)
Let l = 185 + -1663/9. Let p = 13/18 - l. Factor 0 - p*d**3 - 1/2*d**4 + 1/2*d + 1/2*d**2.
-d*(d - 1)*(d + 1)**2/2
Let k(t) be the first derivative of -t**3/3 - t**2 - 1. Factor k(o).
-o*(o + 2)
Let t be (56/(-36))/(6/(-9)). Let v be (-2 + (-16)/(-6))*3. Factor t*l**v - 4/3 + 4*l.
(l + 2)*(7*l - 2)/3
Let r = -113 - -567/5. Determine n so that 2/5*n + 6/5*n**2 + 0 + r*n**4 + 6/5*n**3 = 0.
-1, 0
Suppose q + 4 = 10. Factor 2*w**2 - q*w + 4 - w + w.
2*(w - 2)*(w - 1)
Let n(f) be the second derivative of -5*f**7/42 - f**6/3 + 5*f**4/6 + 5*f**3/6 - 18*f. Suppose n(z) = 0. What is z?
-1, 0, 1
Let r(n) be the second derivative of n**8/40320 + n**7/5040 - n**5/180 + n**4/12 - 5*n. Let x(g) be the third derivative of r(g). Factor x(d).
(d - 1)*(d + 2)**2/6
Let f(j) = 3*j + 5 - j + 7. Let n be f(-5). Factor 1/5*l + 0 - 1/5*l**n.
-l*(l - 1)/5
Suppose 3*k + 11 = w, 0*k - 5*k - 30 = -4*w. Suppose -9*t = -w*t - 12. Factor -6*h**2 - 3*h - 2*h**5 + 5 - t - h**5 + 6*h**3 + 3*h**4 + 1.
-3*(h - 1)**3*(h + 1)**2
Let c(o) be the second derivative of o**5/70 - o**4/7 + 4*o**3/7 - 8*o**2/7 - 15*o. Factor c(y).
2*(y - 2)**3/7
Let g(d) be the second derivative of d**4/60 - 2*d**3/15 + 2*d**2/5 + 2*d. Determine r so that g(r) = 0.
2
Suppose 54/5*m + 54/5 + 18/5*m**2 + 2/5*m**3 = 0. What is m?
-3
Let r be (-2)/(840/(-1261)) - 3. Let l(o) be the third derivative of 3*o**2 + 1/84*o**4 - r*o**6 + 0*o**3 - 1/210*o**5 + 0*o + 1/735*o**7 + 0. Factor l(y).
2*y*(y - 1)**2*(y + 1)/7
Factor 4/13 - 14/13*t + 10/13*t**2.
2*(t - 1)*(5*t - 2)/13
Suppose -3*o - 2*o = -15. Suppose 0 = o*q + 4*m - 11, -m - 4*m = -5*q - 5. Solve -20*r**2 - q - 15/2*r - 25*r**3 - 15*r**4 - 7/2*r**5 = 0.
-1, -2/7
Suppose -47*u - 14 = -54*u. Factor 1/2*v**u - 1/2 + 0*v.
(v - 1)*(v + 1)/2
Suppose -5*k - 18 = -2*k. Let z = -2 - k. Solve -18*c**5 - 2*c - 6*c**4 - 10*c**z - 32*c**4 - 16*c**2 - 44*c**3 = 0 for c.
-1, -1/3, 0
Let w(z) be the third derivative of 1/60*z**6 + 4*z**2 - 2/3*z**3 - 1/10*z**5 + 1/105*z**7 - 5/12*z**4 + 0 + 0*z. What is g in w(g) = 0?
-1, 2
Let i(o) = 23*o**2 + 24*o + 35. Let y(a) = 8*a**2 + 8*a + 12. Suppose 5*c - 35 = -5. Let u(v) = c*i(v) - 17*y(v). Factor u(g).
2*(g + 1)*(g + 3)
Suppose 3*z = -z + 20. Suppose -f = 1 - z. Determine y, given that -5*y**4 + 4*y**4 - y**f = 0.
0
Suppose 2*q + 13 = -137. Let u = q - -227/3. What is l in -1/3*l**2 + l**4 - 4/3*l**3 + 0 + u*l = 0?
-2/3, 0, 1
Let i(j) = -22*j**5 + 12*j**4 - 10*j**2 + 10*j - 10. Let s(t) = 7*t**5 - 4*t**4 + 3*t**2 - 3*t + 3. Let d(a) = 3*i(a) + 10*s(a). Find q, given that d(q) = 0.
0, 1
Let n(p) be the third derivative of p**8/1344 - p**7/210 + p**6/80 - p**5/60 + p**4/96 - 5*p**2. Factor n(x).
x*(x - 1)**4/4
Let v = 47 + -32. Let n = v - 12. Let 2/7*j + 2/7*j**2 - 2/7*j**n - 2/7 = 0. Calculate j.
-1, 1
Let m be ((-4)/(-6))/((-20)/15) - -2. Factor -1/2*d**5 - m*d**4 + 1/2 - d**3 + 3/2*d + d**2.
-(d - 1)*(d + 1)**4/2
Let p(c) be the third derivative of c**8/1008 + c**7/252 + c**6/180 + c**5/360 + 10*c**2. Let p(o) = 0. What is o?
-1, -1/2, 0
Let m(s) be the first derivative of 2/11*s**5 + 2/11*s - 1/33*s**6 + 20/33*s**3 - 5/11*s**4 - 5/11*s**2 + 1. Factor m(q).
-2*(q - 1)**5/11
Let b be 4/(-48)*(-24)/27. Let q(g) be the second derivative of 0*g**4 + 1/9*g**2 - 1/135*g**6 + 0 - g + b*g**3 - 1/45*g**5. Solve q(s) = 0.
-1, 1
Solve 4/9*q - 2/9*q**2 - 2/9 = 0.
1
Let r(d) = 5*d**3 + 7*d**2 + 5. Let p(z) = 9*z**3 + 13*z**2 + 10. Let s(l) = 4*p(l) - 7*r(l). Let n(u) be the first derivative of s(u). Solve n(h) = 0.
-2, 0
Let u = -6 - -9. Determine y, given that 0*y - 2*y - y**3 + 0*y**u + 2*y**2 + y = 0.
0, 1
Suppose -6*m + 115 - 103 = 0. Let 2/7*r**3 + 2/7*r**4 - 6/7*r**m - 10/7*r - 4/7 = 0. Calculate r.
-1, 2
Let q(f) be the second derivative of 7*f**7/15 + 7*f**6/25 - 269*f**5/50 + 97*f**4/10 - 104*f**3/15 + 12*f**2/5 + 39*f. Solve q(t) = 0.
-3, 2/7, 1
Let g(l) be the second derivative of 0 + 0*l**4 + 1/6*l**3 - 1/20*l**5 - 1/4*l**2 + 2*l + 1/60*l**6. Let g(a) = 0. What is a?
-1, 1
Factor 45 