+ 1)/13
Let m(v) be the third derivative of -v**5/480 - v**4/32 - 8*v**2. Factor m(r).
-r*(r + 6)/8
Let -12*w - 85*w**2 - 255*w**3 - 41*w**2 + 18*w**2 + 375*w**5 = 0. Calculate w.
-2/5, -1/5, 0, 1
What is q in -13*q**2 - 4*q**3 + 36*q**3 - 20*q + 8 + 16*q**4 + 7*q**2 - 6*q**2 = 0?
-2, -1, 1/2
Let i = 11 - 8. Find t such that -t**4 + t**i + 0*t**3 - t**2 + t**3 = 0.
0, 1
Let h(g) be the first derivative of -g**5/80 + g**3/24 - 3*g - 3. Let y(a) be the first derivative of h(a). Let y(w) = 0. What is w?
-1, 0, 1
Suppose 0 = p + 2*p - 3. Let v be 0/7*1/p. Suppose v + 0*q**2 + q**4 - 3/2*q**3 + 1/2*q = 0. What is q?
-1/2, 0, 1
Let s(h) be the first derivative of h**4/5 - 16*h**3/15 - 2*h**2 + 7. Suppose s(y) = 0. Calculate y.
-1, 0, 5
Let q be 3 + -1 + 123/(-63). Let m(v) be the second derivative of -1/105*v**6 - q*v**3 + 3*v - 1/14*v**4 + 0*v**2 - 3/70*v**5 + 0. Factor m(t).
-2*t*(t + 1)**3/7
Factor 3/4 - o + 1/4*o**2.
(o - 3)*(o - 1)/4
Factor 6*j**2 + 12*j - 5*j**2 - 5*j**2.
-4*j*(j - 3)
Let g(i) be the second derivative of i**4 - 22*i**3/3 + 12*i**2 + 6*i. Let g(a) = 0. What is a?
2/3, 3
Let q(y) = 23*y**5 - 12*y**3 + 6*y - 17. Let c(a) = -8*a**5 + 4*a**3 - 2*a + 6. Let u(v) = 17*c(v) + 6*q(v). Determine m, given that u(m) = 0.
-1, 0, 1
Let t be 3/(2/(-2) + 2). Find r, given that 2*r**2 + 2*r - 3*r**t + 11*r**3 - 10*r**3 - 2 = 0.
-1, 1
Let b(k) be the third derivative of -k**11/110880 + k**10/50400 - 2*k**5/15 - 8*k**2. Let w(l) be the third derivative of b(l). Factor w(g).
-3*g**4*(g - 1)
Let j be (-37)/(2997/630)*3/(-5). Determine f, given that -10/3*f**5 + 14/3*f**4 + 4/3*f - j*f**2 + 2*f**3 + 0 = 0.
-1, 0, 2/5, 1
Suppose 36*j + 2 = 37*j. Factor 10/9*s**3 - j*s**2 + 14/9*s - 4/9 - 2/9*s**4.
-2*(s - 2)*(s - 1)**3/9
Let r(x) be the third derivative of 4*x**5/45 - x**4/9 + x**3/18 + 25*x**2. Let r(c) = 0. Calculate c.
1/4
Let y(k) be the first derivative of 2*k**5/5 - 2*k**4 + 2*k**3 + 4*k**2 - 8*k - 2. Factor y(w).
2*(w - 2)**2*(w - 1)*(w + 1)
Let r(l) be the third derivative of l**5/300 - l**4/20 + 3*l**3/10 + 4*l**2. Find i, given that r(i) = 0.
3
Suppose -r - 184 = -5*r. Suppose -3*c - 2*c - 2*g = -54, -2*g = -5*c + r. Factor -3*i + c*i - 112*i**3 + 2 - 1 + 1 - 32*i**2.
-(4*i - 1)*(4*i + 1)*(7*i + 2)
Let q(u) be the second derivative of 3*u - 1/720*u**6 + 1/120*u**5 - 1/2*u**3 + 0 - 1/48*u**4 + 0*u**2. Let h(s) be the second derivative of q(s). Factor h(p).
-(p - 1)**2/2
Factor -4*m + 2*m**2 - 36 - 5*m**2 - 20*m - m**2.
-4*(m + 3)**2
Let u(z) = -z**2 - 2*z - 1. Let y be u(2). Let j = -7 - y. Factor 14/9*g**j - 10/9*g - 4/9.
2*(g - 1)*(7*g + 2)/9
Let p = 22 + -16. Suppose -10 = -p*i + i. Solve -7 + k**4 + 2*k**i + 2 - 2*k**4 + 4 = 0.
-1, 1
Let j(i) = -7*i**2 - 2*i - 6*i**3 - 5*i**2 - 5*i**4 + 0*i**4 + 3*i**2. Let z(u) = -24*u**4 - 30*u**3 - 44*u**2 - 10*u. Let s(x) = 28*j(x) - 6*z(x). Factor s(h).
4*h*(h + 1)**3
Suppose 30 = 2*f - 10. Let m be (36/f)/((-15)/(-25)). Solve -6/7*a + 4/7 - 24/7*a**2 - 2*a**m = 0 for a.
-1, 2/7
Suppose -5*o - 2*k + 13 = 0, 0 = 3*o + 2*k - 5*k - 12. Suppose -15/2*l**2 - 9/2 - 21/2*l - 3/2*l**o = 0. Calculate l.
-3, -1
Factor -114*b - 112*b - 8 + 4*b**3 + 8*b**2 + 222*b.
4*(b - 1)*(b + 1)*(b + 2)
Let v(g) be the third derivative of -1/210*g**6 - 1/105*g**7 + 0 + 1/21*g**3 + 0*g + 1/35*g**5 + g**2 - 1/392*g**8 + 5/84*g**4. What is w in v(w) = 0?
-1, -1/3, 1
Let d(a) be the second derivative of -4*a + 0*a**2 + 0 + 4/25*a**6 - 4/15*a**3 - 2/5*a**4 - 1/10*a**5 + 3/35*a**7. Let d(w) = 0. Calculate w.
-1, -2/3, 0, 1
Suppose 5*f = -4 + 14. Let p(u) be the first derivative of 0*u + u**f + 1 + 2/3*u**3. Factor p(r).
2*r*(r + 1)
Let l = 7/4 + -17/12. Factor 0*d + 0 + l*d**3 + 1/3*d**2.
d**2*(d + 1)/3
Let b(z) be the third derivative of -z**5/180 + z**4/12 - z**3/2 + 4*z**2. Let b(u) = 0. What is u?
3
Factor 4 + 2/3*s**2 + 14/3*s.
2*(s + 1)*(s + 6)/3
Let r(q) = -24*q**3 + 61*q**2 + 149*q + 59. Let d(i) = -60*i**3 + 152*i**2 + 372*i + 148. Let b(p) = 5*d(p) - 12*r(p). Factor b(k).
-4*(k - 4)*(k + 1)*(3*k + 2)
Let a(r) be the third derivative of 0 - 9*r**2 - 1/210*r**7 - 1/120*r**6 + 0*r + 5/96*r**4 + 1/12*r**3 - 1/1344*r**8 + 1/120*r**5. Let a(p) = 0. What is p?
-2, -1, 1
Suppose -36*s = -9*s - 81. Factor 2*x**5 - 7/2*x**4 + 0*x + 0 + 1/2*x**2 + x**s.
x**2*(x - 1)**2*(4*x + 1)/2
Let l(m) be the third derivative of -m**8/70560 - m**7/8820 - m**6/2520 - m**5/30 + 2*m**2. Let k(v) be the third derivative of l(v). Factor k(x).
-2*(x + 1)**2/7
Factor -15138 + 3*h**2 - 18*h + 15138.
3*h*(h - 6)
Let k(v) be the third derivative of 3*v**2 + 0*v**3 - 1/80*v**6 + 0*v + 0 + 1/30*v**5 - 1/48*v**4. Suppose k(p) = 0. What is p?
0, 1/3, 1
Let n be 0 + 4 + (-4 - -2). Let v(i) be the first derivative of 3 + 11/9*i**3 + 1/3*i**n + 7/15*i**5 + 0*i + 4/3*i**4. Factor v(j).
j*(j + 1)**2*(7*j + 2)/3
Let q(p) be the first derivative of 1/2*p**2 + 0*p + 3 - 1/4*p**4 + 1/2*p**5 - 5/6*p**3. Find w, given that q(w) = 0.
-1, 0, 2/5, 1
Let g = -15 - -19. Factor 2/5*h**5 - 2/5 + 4*h**3 - 2*h**g - 4*h**2 + 2*h.
2*(h - 1)**5/5
Let 10/7*q**4 + 2/7*q**5 - 6/7*q + 18/7 - 4*q**2 + 4/7*q**3 = 0. Calculate q.
-3, -1, 1
Let t(j) = -j**3 + j**2 + 100. Let f be t(0). Let h be f/30*(-8)/(-5). Factor -h*s**3 - 14/3*s**2 - 4/3*s - 2*s**4 + 0.
-2*s*(s + 1)**2*(3*s + 2)/3
Let o(u) = -62*u**4 + 9*u**3 + 4*u**2 + 3*u**3 + 14*u**4 + 26*u**5. Let h(q) = -q**5 - q**3 + q**2. Let c(b) = -6*h(b) + o(b). Factor c(i).
2*i**2*(i - 1)*(4*i - 1)**2
Solve -6/5 + 0*i**2 - 9/5*i + 3/5*i**3 = 0 for i.
-1, 2
Solve 4/3*z + 2/3*z**3 - 2*z**2 + 0 = 0.
0, 1, 2
Solve 2/9 + 2/9*n**3 - 2/9*n**2 - 2/9*n = 0.
-1, 1
Factor 0 + 4/3*t**2 + 8/3*t.
4*t*(t + 2)/3
Let w(b) be the second derivative of 0 + 0*b**2 + 1/21*b**7 + 1/6*b**4 + 2/3*b**3 - 3/10*b**5 - 1/15*b**6 - 4*b. Factor w(a).
2*a*(a - 2)*(a - 1)*(a + 1)**2
Let x be (-12 - -10)/((-2)/2). Suppose 4/9*p**4 - 2/9*p**3 + 0*p + 0 + 0*p**x - 2/9*p**5 = 0. What is p?
0, 1
Let o(i) = -i**3 + 6*i**2 + 7*i + 4. Let f be o(7). Suppose 5*r + 31 = 5*a - a, -f*a = -r - 19. Find y, given that -3 - 6*y**4 + y**2 + 3 + 9*y**4 + a*y**3 = 0.
-1, -1/3, 0
Factor 0 - 9*k + 2 + 41*k + 14*k**2 + 6.
2*(k + 2)*(7*k + 2)
Suppose -3*a - 4*c + 0*c - 3 = 0, -2*c - 12 = -2*a. Let o be 6 + 0 - 1 - a. Factor -1/2 + 3/2*k**o - k.
(k - 1)*(3*k + 1)/2
Find u, given that -3 - 1/2*u**2 - 5/2*u = 0.
-3, -2
Let y(r) be the third derivative of r**10/831600 - r**9/110880 + r**8/55440 - r**5/10 - 2*r**2. Let b(k) be the third derivative of y(k). Solve b(d) = 0.
0, 1, 2
Let l(m) = 2*m**2 + 6*m + 1. Let v be l(6). Let r = -211/2 + v. Suppose j + 8*j**3 + 11/2*j**2 + 0 + r*j**4 = 0. Calculate j.
-1, -2/7, 0
Let a(k) be the third derivative of k**10/60480 - k**8/6720 + k**6/1440 + k**4/8 - 5*k**2. Let y(x) be the second derivative of a(x). Let y(i) = 0. Calculate i.
-1, 0, 1
What is z in -6*z**2 + 2*z**2 - 403 + 19*z + 408 = 0?
-1/4, 5
Let q(f) = 3*f - 4*f - f**2 + 3*f**2. Let b be q(-1). Solve -2/3*s**b - 2/3*s + 4/3*s**2 + 0 = 0.
0, 1
Let m = 16 - 7. Suppose 16 - 421 = -5*o. Factor -3 + 72*w**2 + o*w**3 + m*w**2 - 9.
3*(3*w - 1)*(3*w + 2)**2
Let a(n) be the third derivative of -n**8/2016 - n**7/210 - n**6/80 - n**5/90 + n**2 - 4. Factor a(d).
-d**2*(d + 1)**2*(d + 4)/6
Let i = -22/3 - -331/45. Let d(q) be the second derivative of 1/9*q**4 + 1/30*q**5 + 0*q**2 + 0*q**3 + 0 + q - i*q**6. Solve d(y) = 0.
-1, 0, 2
Let s(h) = h**3 - 5*h**2 - 8*h + 12. Let w be s(6). Factor w*z**2 + 1/5*z**3 + 0*z + 0.
z**3/5
Let v(j) be the second derivative of 2*j**6/15 - 2*j**4 - 16*j**3/3 - 6*j**2 - 2*j - 37. Factor v(n).
4*(n - 3)*(n + 1)**3
Let k(a) be the first derivative of -2*a**5/5 - 3*a**4 - 2*a**3/3 + 24*a**2 - 32*a + 22. Factor k(j).
-2*(j - 1)**2*(j + 4)**2
Let k = -1348 + 1348. Factor 0*o**3 + 2/13*o**4 + 0 - 2/13*o**2 + k*o.
2*o**2*(o - 1)*(o + 1)/13
Let g be (-5*3)/5 - -5. Suppose -5*p - g*h = 0, 4*p - 3*h = p. Find o, given that 9/2*o**3 + p + 3*o**2 + 1/2*o = 0.
-1/3, 0
Let j be 618/8*(-32)/36. Let x = -68 - j. Solve 2/3*u - 4/3 + x*u**2 = 0.
-2, 1
Let f = -59 - -108. Let x = f + -47. Factor 0 + 16/5*p**3 - 14/5*p**x - 6/5*p**4 + 4/5*p.
-2*p*(p - 1)**2*(3*p - 2)/5
Let y(m) = 2*m**3 - 9*m**2 - m + 4. Let c(h) = 7*h**3 - 26*h**2 - 3*h + 11. Let j(v) = -4*c(v) + 11*y(v). Solve j(t) = 0.
-1/