 -12*f(l) + 3*g(l). Solve a(h) = 0 for h.
0, 4
Let v(q) be the first derivative of -q**7/560 - q**6/320 - 6*q**2 - 7. Let u(z) be the second derivative of v(z). Factor u(b).
-3*b**3*(b + 1)/8
Let s(l) = -l**3 + l - 1. Let t(z) = -6*z**3 + 6*z**2 + 21*z - 5. Let u(v) = -5*s(v) + t(v). Factor u(a).
-a*(a - 8)*(a + 2)
Let c(u) = -3*u**4 + 4*u**3 + 5*u**2 - 20*u + 12. Let t(y) = -y**4 + y**3 - y**2. Let p = -6 - -8. Let w(n) = p*t(n) - c(n). Factor w(s).
(s - 2)**2*(s - 1)*(s + 3)
Let s(g) be the third derivative of -1/140*g**6 + 1/14*g**3 + 0 + 11*g**2 + 0*g**5 - 1/490*g**7 + 1/28*g**4 + 0*g. Factor s(y).
-3*(y - 1)*(y + 1)**3/7
Let m(l) = -l**3 + 3*l**2 + 4*l + 1. Let w(p) be the first derivative of 1/3*p**3 + 1/2*p**2 + p + 5. Let x(b) = 4*m(b) - 4*w(b). Factor x(y).
-4*y*(y - 3)*(y + 1)
Solve 0*z**2 + 0*z**4 + 8/9*z**5 + 0*z - 2/9*z**3 + 0 = 0.
-1/2, 0, 1/2
Factor 1440*v - 5744*v - 363 + 28*v**2 - 439 - 430.
4*(v - 154)*(7*v + 2)
Let w(d) = 2*d**2 - 2*d - 2. Let y be w(2). Suppose k - 2*i + 5 = 0, 5*i = 3*k + y*i + 3. Factor 2*o**k - 7*o**3 - 41*o**2 + 5*o**5 + 41*o**2.
5*o**3*(o - 1)*(o + 1)
Let b(n) be the first derivative of n**6/51 - 4*n**5/17 + 12*n**4/17 + 32*n**3/51 - 112*n**2/17 + 192*n/17 - 240. Find z such that b(z) = 0.
-2, 2, 6
Factor 14*p**3 - 44*p**3 - 12*p**2 + 17*p**3 + 70 + 18*p**3 + 32*p**2 - 95*p.
5*(p - 2)*(p - 1)*(p + 7)
Let q(s) = -2*s**2 - s - 113. Let r be q(0). Let t = r + 113. Find o such that -1/4*o**2 + 1/4*o**4 + 0*o + t*o**3 + 0 = 0.
-1, 0, 1
Let v(u) = -7*u**3 + 5*u**2 + u + 14. Let h(m) = m**3 - m**2 + m - 2. Let p(l) = 5*h(l) + v(l). Factor p(f).
-2*(f - 2)*(f + 1)**2
Factor 3 + 1/7*r**2 - 10/7*r.
(r - 7)*(r - 3)/7
Let r(j) = -8*j - 2. Let n be r(-1). Factor -3*i**3 - n*i**5 + 5*i**5 + i**2 + 2*i**2 - 2*i**2 + 3*i**4.
-i**2*(i - 1)**3
Suppose t + i = -9, -25*i + 20*i = -5*t + 45. Let -2/9*y**2 - 2/9*y + t = 0. What is y?
-1, 0
Let r = -10 + 7. Let n be (-6)/r + (9/(-6))/1. What is k in 1/2 + 1/2*k - 1/2*k**3 - n*k**2 = 0?
-1, 1
Suppose 3*g + 45 = 8*g - 5*r, -3*r + 1 = 4*g. Let f(c) be the first derivative of -4*c - 21*c**3 - 10 - 49/8*c**g - 15*c**2. Find k such that f(k) = 0.
-2, -2/7
Let -11/4*l**3 + 0 - 3/4*l**4 - 5/4*l**2 + 3/4*l = 0. What is l?
-3, -1, 0, 1/3
Let x(q) = -q**2 + 62*q - 895. Let r be x(39). Solve 0 + 3/2*j**3 + 6*j - 6*j**r = 0.
0, 2
Let o(g) be the third derivative of -g**7/630 + g**6/72 - g**5/90 - g**4/9 - 56*g**2. Factor o(w).
-w*(w - 4)*(w - 2)*(w + 1)/3
Let r(j) be the third derivative of j**5/60 - 3*j**4/4 + 65*j**3/6 - 81*j**2 - 1. Factor r(k).
(k - 13)*(k - 5)
Let u(b) be the third derivative of -1/440*b**6 + 1/2310*b**7 - b**2 + 1/220*b**5 - 1/264*b**4 + 0*b + 0 + 0*b**3. Factor u(x).
x*(x - 1)**3/11
Let y(w) be the second derivative of -w**8/84 - 4*w**7/21 - 16*w**6/15 - 32*w**5/15 + 9*w**2 + 4*w - 6. Let g(t) be the first derivative of y(t). Factor g(p).
-4*p**2*(p + 2)*(p + 4)**2
Let y(w) = -w**2 - 10*w - 31. Let a be y(-5). Let l be (-8)/((-40)/(-15)) - a. Factor 0 + 3/5*g + 12/5*g**3 - l*g**2.
3*g*(g - 1)*(4*g - 1)/5
Let k(j) be the third derivative of j**6/720 - j**5/60 + 11*j**3/2 - 36*j**2. Let a(i) be the first derivative of k(i). Factor a(x).
x*(x - 4)/2
Let l(p) = -p**4 + p**3 + p - 1. Let j(v) = -v**5 + 2*v**4 - 4*v**3 + 8*v**2 - 7*v + 2. Let t(r) = -j(r) - 6*l(r). Factor t(d).
(d - 1)**2*(d + 1)**2*(d + 4)
Solve -48/7*r**2 - 9/7*r**3 + 18/7 + 39/7*r = 0.
-6, -1/3, 1
Let v(b) be the second derivative of -b**6/75 + b**5/25 + b**4/6 - 2*b**3/5 + 132*b. Determine r so that v(r) = 0.
-2, 0, 1, 3
Let v be ((-36)/(-24))/(1*(-3)/(-2)). Let g be (((-6)/(-4))/v)/(1155/220). Suppose -8/7*z**2 + 0 + 0*z - 8/7*z**3 - g*z**4 = 0. What is z?
-2, 0
Suppose 54*b - 55*b - 4 = 0. Let y be (-12)/9*6/b. Determine u, given that -1/5 + 7/5*u - 11/5*u**y + u**3 = 0.
1/5, 1
Let i(d) be the third derivative of d**5/30 + 5*d**4/24 + d**3/2 - 3*d**2. Let m be i(-3). Factor -21*k + 0 + m + 15*k**2 + 0.
3*(k - 1)*(5*k - 2)
Suppose -3*o = 3*z - 6, -5*o - 4 + 14 = -4*z. Let j(v) be the second derivative of 3*v + 1/33*v**3 + 0*v**o - 1/66*v**4 + 0. Factor j(y).
-2*y*(y - 1)/11
Let a(h) be the first derivative of 3/2*h**2 - 2/75*h**6 - 5 + 0*h + 1/3*h**4 + 3/25*h**5 - 2/5*h**3. Let b(o) be the second derivative of a(o). Factor b(m).
-4*(m - 3)*(m + 1)*(4*m - 1)/5
Let d(y) = y**2 + 4*y - 5. Let r be d(-5). Let o be 1*(r + 1) - (-49)/5. Factor 54/5*n + 2/5*n**3 + 18/5*n**2 + o.
2*(n + 3)**3/5
Factor -1/3*r**2 - 10/3 - 11/3*r.
-(r + 1)*(r + 10)/3
Let r be (-13)/(-4) - 1/4. Let t = -120 + 123. Factor t*q**2 - 3*q**r + 0*q**4 - 7*q**4 - 2*q**5 - q**5 + 2*q.
-q*(q + 1)**3*(3*q - 2)
Let q(v) be the second derivative of -v**7/105 - 8*v**6/25 - 201*v**5/50 - 71*v**4/3 - 372*v**3/5 - 648*v**2/5 - 80*v. Determine c, given that q(c) = 0.
-9, -2
Factor -2/7*j**3 + 48/7 - 10*j + 24/7*j**2.
-2*(j - 8)*(j - 3)*(j - 1)/7
Let w = 3411 + -6821/2. Factor -x - w + x**3 + 1/2*x**4 + 0*x**2.
(x - 1)*(x + 1)**3/2
Let a(t) = t**3 + 8*t**2 - 2*t - 12. Let v be a(-8). Let k = 4 - -1. Let f**3 + 6*f**2 + 2*f + 0*f**2 + 8*f**v - 6*f**4 + k*f**3 = 0. Calculate f.
-1, 0
Let c(y) be the third derivative of 2*y**2 + 0*y**3 - 7/330*y**5 - 1/66*y**4 + 0*y + 0. Factor c(i).
-2*i*(7*i + 2)/11
Suppose -19*z - 1 + 58 = 0. Let q be 16/z - ((-3)/(-3) + 3). Let -2 + 2/3*j**2 + q*j = 0. Calculate j.
-3, 1
Factor -47*n**2 - 123*n - 61 + 4*n**3 - 23*n**2 - 3 - n + 14*n**2.
4*(n - 16)*(n + 1)**2
Let v(d) be the third derivative of -d**5/180 + d**4/12 - d**3/2 - 44*d**2. Determine x so that v(x) = 0.
3
Let u(s) = -11*s**2 + 13*s**4 + 4*s**3 + 14*s**3 - 38*s**3 - 3 + 9*s. Let w(r) = r**4 + r**2 + r + 1. Let f(j) = u(j) + 3*w(j). Solve f(x) = 0 for x.
-3/4, 0, 1
Let u(x) be the first derivative of 6*x**5/35 + 4*x**4/7 - 40*x**3/21 - 16*x**2/7 - 298. Determine q so that u(q) = 0.
-4, -2/3, 0, 2
Suppose -54 = -j + 21. Let n be (-100)/j - 8/(-6). Suppose -1/2*w**2 + 1/2 + n*w = 0. What is w?
-1, 1
Factor 2/5*b**2 + 4/15 + 2/15*b**3 - 2/3*b - 2/15*b**4.
-2*(b - 1)**3*(b + 2)/15
Suppose d + 4 = 3*p, -2*d + 8 = -2. Let m be (9/4)/(-3)*-4. Solve 3*x**4 + x**4 + 2 + m*x**4 - 7*x**2 - 3*x**p + 3*x - 2*x**4 = 0 for x.
-1, -2/5, 1
Let w(q) be the third derivative of -q**5/240 - 13*q**4/32 - 37*q**3/12 + 7*q**2 - 40*q. Factor w(c).
-(c + 2)*(c + 37)/4
Let a(x) be the second derivative of -x**4/4 + x**3/2 + 3*x**2 - 108*x. Let a(u) = 0. Calculate u.
-1, 2
Let r(q) = q**3 - 17*q**2 - q + 21. Let o be r(17). Suppose -24 = -o*s - 8*s. Find a, given that -18/7*a**s - 8/7 + 24/7*a = 0.
2/3
Find r such that -29/2*r - 15 + 11*r**2 + 1/2*r**5 + 6*r**3 - 4*r**4 = 0.
-1, 2, 3, 5
Factor 0 + 117/5*h**5 - 24/5*h**4 + 6/5*h**2 - 23/5*h**3 + 0*h.
h**2*(3*h - 1)**2*(13*h + 6)/5
Let b be (1/5)/(2/30). Let l(r) be the second derivative of 0*r**2 - 1/33*r**b + 0 + 0*r**4 - 4*r + 1/110*r**5. Suppose l(z) = 0. Calculate z.
-1, 0, 1
Let i be -1 - -25 - 6812/286. Solve 10/11*c**2 - 8/11*c**3 - 4/11*c + i*c**4 + 0 = 0 for c.
0, 1, 2
Let b(a) = -2*a**3 + a - 1. Let h(p) = 3*p**3 + 4*p**2 + 4*p + 3. Let k(o) = -3*b(o) - 3*h(o). Determine y so that k(y) = 0.
-2, -1
Let m = 39 + -17. Find p, given that -m*p**2 + 0*p**3 + 2*p**2 - 3*p**3 - 2*p**3 - 15*p = 0.
-3, -1, 0
Let -2/7*i**3 - 30/7*i - 18/7*i**2 - 2 = 0. Calculate i.
-7, -1
Suppose 89*a - 225 = 42. Find j, given that 10/9 + 2/3*j**2 - 2/9*j**a + 2*j = 0.
-1, 5
Let x(y) = y**3 + 4*y**2 - 6*y - 3. Let j be x(-5). Determine h so that 5*h**2 + 7*h - j*h + 5*h + 5*h**5 - 15*h**3 - 5*h**4 = 0.
-1, 0, 1, 2
Suppose 14 = 5*r - 2*k, 2*r + 3*k + 0 + 2 = 0. Suppose -4*a + 3*p + 17 = 0, -2*a + a + r*p = -8. Factor -1/4*n**5 - n**4 + 0 - 1/4*n - 3/2*n**3 - n**a.
-n*(n + 1)**4/4
Let k = -45 + 49. Determine x, given that 0*x**5 - 7*x - 3*x**5 + k*x + 6*x**3 = 0.
-1, 0, 1
Let z = -42333/5 + 8467. Suppose -2/5*r + z*r**2 - 4/5 = 0. Calculate r.
-1, 2
Let i(m) be the second derivative of -m**5/20 - 139*m**4/12 + 281*m**3/6 - 141*m**2/2 - 2*m + 175. Solve i(v) = 0 for v.
-141, 1
Let g(l) be the first derivative of -l**5/20 - l**4/4 - 15*l**2/2 - 4. Let h(q) be the second derivative of g(q). Factor h(u).
-3*u*(u + 2)
Let l(q) be the first derivative of -2 + 4/3*q**2 + 4*q - 1/9*q**3 - 1/12*q**4. Find p, given that l(p) = 0.
-2, 3
Let i be 3726/(-567)