g**7/10080 - g**4/3 - 2*g. Let d(b) be the third derivative of p(b). Factor d(v).
v**2*(v - 1)**2*(2*v - 1)/4
Let n = 18 + -13. What is f in 3*f + 9 - 3*f**2 - n - 7*f = 0?
-2, 2/3
Let y(w) be the first derivative of w**5/10 - w**4 + 11*w**3/3 - 6*w**2 + 9*w/2 + 4. Factor y(d).
(d - 3)**2*(d - 1)**2/2
Let m(d) be the second derivative of -3*d**5/100 + 3*d**4/20 + d**3/10 - 9*d**2/10 - 2*d. Find o, given that m(o) = 0.
-1, 1, 3
Let l(m) = -2*m - 5. Let p be l(-4). Suppose 0 = 3*s - p - 3. Find y, given that 2*y + 2*y**2 + 7*y**2 + 10*y**3 + y**s + 2*y**2 = 0.
-1, -1/5, 0
Let p = -13 + 6. Let x = p + 11. Let 6*o**3 + 6*o - 2*o**x + o**2 - 7*o**2 - 4*o = 0. What is o?
0, 1
Factor 20*n**4 + n**3 + 8*n**5 + 12*n**5 + n**3 + 3*n**3.
5*n**3*(2*n + 1)**2
Solve 0*o + 2/7*o**4 - 1/7*o**5 + 0*o**2 + 0 - 1/7*o**3 = 0.
0, 1
Let x be -6*2*1/(-4). Suppose -5*a + 3 = 4*r, 5 - 4 = x*r + 5*a. Solve -3/5*c**r + 0*c + 4/5 - 1/5*c**3 = 0 for c.
-2, 1
Suppose 5*y - 1225 = -2*y. Let p be (-7)/(-2)*20/y. What is h in 0*h + 0*h**2 - 2/5*h**3 + 0 + p*h**4 = 0?
0, 1
Let u be (-1 - 4/(-1)) + (-221)/85. Factor -2/5*g**4 + u*g**2 + 0 - 2/5*g**3 + 0*g + 2/5*g**5.
2*g**2*(g - 1)**2*(g + 1)/5
Let k = 25 - 21. Let x(b) be the third derivative of 1/6*b**k - 1/10*b**5 + 1/30*b**6 - 1/6*b**3 + 0*b - 1/210*b**7 + 0 - 2*b**2. Factor x(o).
-(o - 1)**4
Let j(q) be the third derivative of 0*q + 0*q**3 + 0 + 1/10*q**6 + 1/84*q**8 - 1/15*q**5 + 3*q**2 + 0*q**4 - 2/35*q**7. Factor j(z).
4*z**2*(z - 1)**3
Let x(r) = -8*r**4 + 3*r**3 + 11*r**2 - 5*r - 3. Let j(m) = 9*m**4 - 3*m**3 - 12*m**2 + 6*m + 3. Let k(y) = -2*j(y) - 3*x(y). Let k(b) = 0. What is b?
-1, -1/2, 1
Let g(k) be the first derivative of -k**6/48 + k**4/16 - k**2/16 + 20. Factor g(w).
-w*(w - 1)**2*(w + 1)**2/8
Let l(m) be the second derivative of m**4/4 - 3*m**2/2 + 4*m. Factor l(v).
3*(v - 1)*(v + 1)
Let v(k) be the third derivative of k**7/7560 - k**6/720 + k**5/180 + k**4/6 - 4*k**2. Let i(j) be the second derivative of v(j). Solve i(b) = 0 for b.
1, 2
Factor 0*f - 2/5*f**5 + 0*f**4 - 4/5*f**2 + 6/5*f**3 + 0.
-2*f**2*(f - 1)**2*(f + 2)/5
Let g(d) = d**2 + 3*d + 2. Let z(b) be the second derivative of -b**4/2 - 8*b**3/3 - 11*b**2/2 - 6*b. Let u(l) = 22*g(l) + 4*z(l). Factor u(w).
-2*w*(w - 1)
Factor 6*a**2 + a**3 - 2*a**4 - 4*a**2 + a**4.
-a**2*(a - 2)*(a + 1)
Let w be (-108)/10*(-100)/30. Let m(o) be the first derivative of 2 - 36*o**3 - 27/2*o**4 - w*o**2 - 16*o. Find p, given that m(p) = 0.
-2/3
Suppose -5*o - 150 = -4*y, -5*o - 150 = -0*y + 4*y. Let m be 50/28 + o/20. Factor 0 - 2/7*h - m*h**3 + 4/7*h**2.
-2*h*(h - 1)**2/7
Let a(l) be the first derivative of -l**8/4620 - l**7/1540 + l**5/660 + 5*l**3/3 + 5. Let b(n) be the third derivative of a(n). Factor b(o).
-2*o*(o + 1)**2*(2*o - 1)/11
Let a(l) = l**3 + 3*l - 2. Let c(d) = -2*d**3 - d**2 - 7*d + 5. Let n(j) = -5*a(j) - 2*c(j). Determine s so that n(s) = 0.
0, 1
Let j(n) be the third derivative of -8*n**7/21 - 19*n**6/3 - 107*n**5/4 + 475*n**4/12 - 125*n**3/6 + 7*n**2. Factor j(y).
-5*(y + 5)**2*(4*y - 1)**2
Let d(j) = j**2 + 8*j + 3. Let t be d(-8). Factor 4*m**3 - t*m**2 - 4*m + 2*m**2 + 0*m**2 + 1.
(m - 1)*(m + 1)*(4*m - 1)
Let 13*r**3 - 2*r**4 + 6*r**5 - 2*r**2 - 3*r**3 - 12*r**4 = 0. Calculate r.
0, 1/3, 1
Let g = -77/9 - -80/9. Determine u, given that g + 1/6*u**3 - 1/2*u + 0*u**2 = 0.
-2, 1
Let h(k) be the third derivative of 0*k**3 - 1/84*k**4 + k**2 + 0 + 0*k + 1/105*k**5 - 1/420*k**6. Find l such that h(l) = 0.
0, 1
Let p(k) be the second derivative of k**5/10 + 3*k**4/2 + 9*k**3 + 27*k**2 - 22*k. Let p(q) = 0. Calculate q.
-3
Let x(i) be the second derivative of -i**7/21 + i**5/10 + 4*i. Factor x(l).
-2*l**3*(l - 1)*(l + 1)
Solve 11*x**2 - 2*x**3 - 1 - 17*x**2 - 3 + 10*x + 2*x**4 = 0 for x.
-2, 1
Factor 15*m**2 + 2*m - 7*m + 16 - 35*m - 67*m**2 - 14*m**3.
-2*(m + 2)**2*(7*m - 2)
Let n(a) be the third derivative of -a**4/24 + 4*a**2. Let p be n(-2). Find u such that 4/3*u**3 - 1/3 + 1/3*u**p - 4/3*u = 0.
-1, -1/4, 1
Suppose -20 = -3*u - 2*u. Let i = u + -2. Factor -i*t**2 - 2*t - 2*t**4 + 2*t**3 + 4*t**2 + 0*t**2.
-2*t*(t - 1)**2*(t + 1)
Let f(y) = y**2 - 1. Let r(l) = 3*l**3 - l**2 - 3*l - 15. Let g(o) = -f(o) + r(o). Let d(x) = -x**3 + x**2 + x + 5. Let p(c) = -8*d(c) - 3*g(c). Factor p(z).
-(z - 1)*(z + 1)*(z + 2)
Let b = -11/6 + 67/30. Determine l so that 2*l**2 + 4/5*l + 0 + b*l**4 + 8/5*l**3 = 0.
-2, -1, 0
Let g(k) = 5*k - 33. Let z be g(7). Find w, given that 4/11*w + 0*w**z - 4/11*w**3 + 2/11*w**4 - 2/11 = 0.
-1, 1
Let g(h) = -2*h - 6. Let b be g(-4). Let s be (-3)/(9/12)*(-7)/8. Suppose 7/2*p - 1 - s*p**3 + p**b = 0. Calculate p.
-1, 2/7, 1
Solve 2/13*t**4 + 6/13*t**3 + 6/13*t**2 + 0 + 2/13*t = 0.
-1, 0
Suppose 4*c - 2 = 6. Suppose -c*f = f. Factor 2/9*g**3 + 0 + 2/9*g**2 + f*g.
2*g**2*(g + 1)/9
Let f be 2/(-56) + (600/42 - 14). Factor -f*w - 1/4*w**3 + 1/2*w**2 + 0.
-w*(w - 1)**2/4
Let a = 9 - 1. Let t be 5*-1*a/(-5). Find n such that t + 12*n**2 - 16*n + 1/2*n**4 - 4*n**3 = 0.
2
Let r = 20 - 19. Let v(a) = -4*a**3. Let i(b) = b**3 - b**2 + b + 1. Let j(w) = r*v(w) + 2*i(w). Let j(t) = 0. Calculate t.
-1, 1
Let r(o) be the third derivative of 7*o**6/20 + o**5/20 - 5*o**4/4 + 3*o**3/2 + 10*o**2. Factor r(u).
3*(u + 1)*(2*u - 1)*(7*u - 3)
Let n(i) be the first derivative of 2*i**5/25 - i**4/10 - 9. Determine c so that n(c) = 0.
0, 1
Let b(v) be the third derivative of 49*v**6/80 + 7*v**5/10 + v**4/4 + 11*v**2. Factor b(j).
3*j*(7*j + 2)**2/2
Suppose 4 = 2*l - 0. Suppose 0*b**l + 2*b**2 - 2*b - 4 + 0*b = 0. Calculate b.
-1, 2
Let o(d) = d**2 + 2*d + 1. Let a be o(-2). Factor -4*l - 2 - a + 3 - 10*l**2.
-2*l*(5*l + 2)
Let b(h) be the second derivative of -h**9/30240 + h**8/6720 - h**7/5040 + h**4/12 + h. Let i(d) be the third derivative of b(d). Suppose i(l) = 0. What is l?
0, 1
Factor -8/7*w**2 - 2/7 + 10/7*w.
-2*(w - 1)*(4*w - 1)/7
Let g be ((-1)/(-5))/(4/(-4804)). Let u = g - -241. Find k such that -6/5*k**2 + 0 - 2/5*k**3 - u*k = 0.
-2, -1, 0
Let l = 436 + -3049/7. Solve 6/7*r - 3/7*r**2 - l*r**3 + 0 = 0.
-2, 0, 1
Let t(n) be the first derivative of -n**6/360 + n**4/72 + n**2 + 3. Let m(x) be the second derivative of t(x). Solve m(d) = 0 for d.
-1, 0, 1
Let z(c) be the third derivative of 1/30*c**6 + 0 + 0*c - 2/3*c**3 + 7*c**2 + 1/2*c**4 - 1/5*c**5. Solve z(r) = 0 for r.
1
Let l(x) = -x**5 + x**3 + x. Let i(s) = s**5 - 4*s**4 - s**3 + 4*s**2 - 5*s. Let z(m) = -i(m) - 5*l(m). Solve z(p) = 0 for p.
-1, 0, 1
Let o(u) be the second derivative of -u**7/10 - 8*u**6/25 - 33*u**5/100 - u**4/10 + 8*u + 1. Suppose o(f) = 0. What is f?
-1, -2/7, 0
Let q(h) = -110*h**2 - 265*h - 45. Let w(x) = 5*x**2 + 12*x + 2. Let l(s) = 2*q(s) + 45*w(s). Suppose l(m) = 0. What is m?
-2, 0
Let k(g) be the third derivative of -g**9/141120 + g**8/47040 + g**7/5880 + g**5/30 + 4*g**2. Let r(d) be the third derivative of k(d). Factor r(x).
-3*x*(x - 2)*(x + 1)/7
Let w(c) = c**4 - c**3 - 3*c**2 + 7*c - 3. Let t(a) = a**3 - a + 1. Let d(v) = t(v) - w(v). Find p such that d(p) = 0.
-2, 1, 2
Find k, given that 32*k + 6*k**4 + 12*k**4 + 2*k**4 + 40*k**3 - 80*k**2 - 12*k**5 = 0.
-2, 0, 2/3, 1, 2
Let t be -1 + (3 - (0 + 5)). Let j be (-3)/(-2) + t/2. Suppose 0 - 2/3*o**2 - 2/3*o**3 + j*o = 0. Calculate o.
-1, 0
Let m be 0 + 1 - (-40)/(-42). Let y(s) be the second derivative of 1/14*s**5 - 2/7*s**2 - 5/21*s**3 + 0 + m*s**4 + s. Suppose y(p) = 0. What is p?
-1, -2/5, 1
Let l(r) be the first derivative of 2/5*r + 1/25*r**5 - 7 - 1/5*r**3 + 1/10*r**2 - 1/20*r**4. Suppose l(c) = 0. What is c?
-1, 1, 2
Let h(u) be the second derivative of u**8/6720 + u**7/1260 + u**6/720 + u**4/4 + 2*u. Let g(b) be the third derivative of h(b). What is l in g(l) = 0?
-1, 0
Find c such that -3*c**2 - 1 + 3*c + 11 - 4 = 0.
-1, 2
Let k(f) = -5*f + 75. Let n be k(15). Factor 0*z - 4*z**4 + n + 3/2*z**5 + 7/2*z**3 - z**2.
z**2*(z - 1)**2*(3*z - 2)/2
Let f = -1214/3 + 408. Suppose 14/3*h**4 + 0*h + 16/3*h**3 - f*h**5 - 8/3*h**2 + 0 = 0. Calculate h.
-1, 0, 2/5, 2
Suppose -4*s = 7 - 3. Let w = s + 3. Let -z**2 + z**2 + z**w = 0. What is z?
0
Let d(z) = -z**2 + 2. Let r(k) = 10*k**2 - k - 13*k**2 - 4 + 9. Let h(m) = -15*d(m) + 6*r(m). Factor h(v).
-3*v*(v + 2)
Suppose 0 = -u - 1 - 3, -4*j + u + 52 = 0. Let t