 1/32*l**4 + 0*l + 1/210*l**7 - 12*l**2. Let x(m) = 0. Calculate m.
-1, 1/4, 1
Let r = -4/145 - -898/1015. Let q be (-12)/(-21) - (-3 - (-138)/42). Determine l so that 0 + 6/7*l**4 + r*l**3 + 2/7*l**2 + 0*l + q*l**5 = 0.
-1, 0
Let h(p) be the third derivative of -1/36*p**4 - 1/18*p**5 + 0*p + 1/180*p**6 + 5/9*p**3 + 26*p**2 + 0. Let h(f) = 0. Calculate f.
-1, 1, 5
Let r(s) = -10*s**2 - 2805*s - 2925. Let h(c) = c**2 + 255*c + 266. Let y(w) = 65*h(w) + 6*r(w). Solve y(u) = 0.
-1, 52
Let j(w) be the first derivative of w - 1. Let a(b) = b**2 + 3*b - 4. Let t = 8 - 9. Let p(o) = t*a(o) - 4*j(o). Factor p(y).
-y*(y + 3)
Determine p so that -5/2*p + 1/2*p**2 - 18 = 0.
-4, 9
Let n(m) be the second derivative of -m**7/630 - m**6/270 + m**5/45 - 17*m**3/6 - 7*m. Let q(r) be the second derivative of n(r). Factor q(z).
-4*z*(z - 1)*(z + 2)/3
Let l = 14 + -14. Let h be (-3 - (l - -1))/(-2). Factor 6*i + h*i**2 + 6 + 2/9*i**3.
2*(i + 3)**3/9
Let j(k) be the second derivative of -k**3 + 3*k**2 - 5*k. Let c(i) = -i**2 + 19*i - 18. Let n(o) = -3*c(o) - 8*j(o). What is l in n(l) = 0?
1, 2
Let y(p) be the third derivative of -1/140*p**5 + 0 - 1/42*p**3 - 1/840*p**6 - 1/56*p**4 + 0*p + 7*p**2. Factor y(l).
-(l + 1)**3/7
Let d = -231 + 1156/5. Let l(i) be the second derivative of -i - 1/30*i**4 - d*i**3 + 0 - 2/5*i**2. Determine o so that l(o) = 0.
-2, -1
Let h(i) be the second derivative of 1/30*i**4 - 1/75*i**6 + 0*i**3 + 0*i**2 + 0 + 10*i + 1/42*i**7 - 1/20*i**5. Solve h(k) = 0 for k.
-1, 0, 2/5, 1
Let g(l) be the second derivative of -32*l**7/21 + 56*l**6/15 + 17*l**5/5 - 83*l**4/12 + 23*l**3/6 - l**2 + 2*l + 250. Factor g(w).
-(w - 2)*(w + 1)*(4*w - 1)**3
Let j(k) be the first derivative of 5*k**6/12 + 47*k**5/10 + 93*k**4/8 - 95*k**3/6 - 25*k**2/2 - 166. Find f such that j(f) = 0.
-5, -2/5, 0, 1
Factor 16/3*u - 2/9*u**3 + 0 + 2/9*u**4 - 28/9*u**2.
2*u*(u - 3)*(u - 2)*(u + 4)/9
Let g(c) be the third derivative of -3*c**2 - 1/240*c**5 + 0*c + 0*c**6 + 1/840*c**7 - 1/2688*c**8 + 1/192*c**4 + 0*c**3 + 0. Factor g(b).
-b*(b - 1)**3*(b + 1)/8
Let i(c) be the third derivative of -c**6/2 + 2*c**5/15 + 5*c**4/2 - 4*c**3/3 - 15*c**2. Factor i(g).
-4*(g - 1)*(g + 1)*(15*g - 2)
Let r = 16 + -13. Determine z so that 6 - 6*z + 6*z**4 + 21*z - 12*z**2 + 20*z**5 - 5*z**5 - 30*z**r = 0.
-1, -2/5, 1
Let q be 1/6 - (-70)/12. Suppose -4*k + 4*c + 2 = q, 2*c - 17 = -3*k. Let 3*a**3 + k*a**4 + 2*a**5 - 3*a**5 + 2*a**2 - 2*a**5 - 5*a**4 = 0. What is a?
-1, -2/3, 0, 1
Let u(t) be the second derivative of t**6/40 - 9*t**5/16 + 21*t**4/4 - 26*t**3 + 72*t**2 + 2*t + 110. Factor u(g).
3*(g - 4)**3*(g - 3)/4
Let x be 96/(-36) + 2/(-6) - (-20)/4. Factor 1/2*t**3 + 0 + 0*t**x + 0*t - 1/4*t**4.
-t**3*(t - 2)/4
What is v in 35518*v + 16 + 21*v**3 - 35470*v + v**5 + 11*v**3 + 9*v**4 + 56*v**2 = 0?
-2, -1
Suppose -12 = 3*s - 6. Let i be (1/s)/((-15)/10). Determine u so that -1/3*u**2 + 0*u + i = 0.
-1, 1
Let j(m) = m**3 + 7*m**2 - 9*m - 17. Let g be j(-8). Let t = 12 + g. Factor -1/5*l**t + 0 + 0*l + 1/5*l**2 + 1/5*l**5 - 1/5*l**4.
l**2*(l - 1)**2*(l + 1)/5
Let d(n) = -7*n + 3*n + 1 + 2*n + 0*n. Let o be d(-1). Factor -19*w**4 - 18*w**4 - 12*w - 12*w**3 + 34*w**4 - 18*w**2 - o.
-3*(w + 1)**4
Solve -32/13*b**5 + 352/13*b**4 - 22/13*b**2 - 318/13*b**3 + 0 + 20/13*b = 0.
-1/4, 0, 1/4, 1, 10
Let n = -190 - -99. Let b be (-24)/156 + (-222)/n. Suppose -12/7*k**4 + 0 + 12/7*k**2 + 2/7*k**5 - 18/7*k + b*k**3 = 0. Calculate k.
-1, 0, 1, 3
Let n(x) = -3*x**2 + 39*x - 36. Let z(v) = -v**2 + 7. Let g be z(-4). Let y(m) = -m**2 + 19*m - 18. Let l(a) = g*y(a) + 4*n(a). Suppose l(s) = 0. What is s?
-6, 1
Let n(l) be the second derivative of -4/45*l**3 + 1/45*l**4 + 10*l + 0 + 1/150*l**5 - 8/15*l**2. Factor n(q).
2*(q - 2)*(q + 2)**2/15
Let a(b) be the third derivative of b**9/6048 + b**8/1680 + b**3/2 + 9*b**2. Let l(w) be the first derivative of a(w). Let l(t) = 0. Calculate t.
-2, 0
Let b(h) = 5*h**3 - 403*h**2 + 10935*h - 98415. Let y(l) = 135*l**3 - 10880*l**2 + 295245*l - 2657205. Let m(r) = -55*b(r) + 2*y(r). Factor m(v).
-5*(v - 27)**3
Let q(u) = 2*u**2 - u - 3. Let t be q(2). Let -3*l + 0*l**5 + 112*l**2 - 112*l**4 + 196*l**5 - 180*l**t - 13*l = 0. Calculate l.
-1, 0, 2/7, 1
Let w(z) be the second derivative of -z**7/14 + 41*z**6/120 + 87*z**5/80 + 13*z**4/16 + 5*z**3/24 - 623*z. Find b such that w(b) = 0.
-1, -1/3, -1/4, 0, 5
Let c(b) be the first derivative of 2*b**5/15 - b**4/2 - 2*b**3/3 + 11*b**2/3 - 4*b + 168. Factor c(a).
2*(a - 3)*(a - 1)**2*(a + 2)/3
Let b(m) be the second derivative of -m**4/6 + 53*m**3/3 - 52*m**2 + 11*m + 4. Factor b(u).
-2*(u - 52)*(u - 1)
Let i = -21 + 26. Let w - 32*w**i + 2*w**2 + w**3 - 2*w**4 + 31*w**5 - w**3 = 0. What is w?
-1, 0, 1
Let m(r) be the second derivative of 0 + 2/3*r**3 - 4/5*r**5 + 0*r**2 - r**4 + 2*r. Factor m(c).
-4*c*(c + 1)*(4*c - 1)
Let l be 1397/(-254) + (8 - 1). Let k = 0 - 0. Solve -l*v**2 + 3/2*v + k = 0.
0, 1
Suppose 4*d - 8*d = -12. Let s(z) be the first derivative of d + 1/3*z**2 + 7/15*z**5 - 7/9*z**3 + 0*z - 1/6*z**4. Suppose s(n) = 0. What is n?
-1, 0, 2/7, 1
Let r(x) be the third derivative of 0*x - 10*x**2 + 3/40*x**4 - 1/100*x**5 + 2/5*x**3 + 0. Factor r(u).
-3*(u - 4)*(u + 1)/5
Find r such that -2*r + 8 + 1/2*r**3 - 2*r**2 = 0.
-2, 2, 4
Let v(i) be the third derivative of i**6/720 - 7*i**5/360 + 5*i**4/48 - i**3/4 + 33*i**2. Suppose v(w) = 0. Calculate w.
1, 3
Let f(j) = 8*j**3 - j**4 - j**4 - 3 + j**3 - 3*j**2 - j**2. Let x(m) = 2*m**4 - 8*m**3 + 4*m**2 + 2. Let t(y) = 2*f(y) + 3*x(y). Factor t(v).
2*v**2*(v - 2)*(v - 1)
Let f(u) be the third derivative of u**7/350 + u**6/40 - 2*u**5/25 - 3*u**4/10 - 580*u**2. Factor f(x).
3*x*(x - 2)*(x + 1)*(x + 6)/5
Suppose -36 = -4*z - 0*z. Let t = z + -6. Factor -3*c**2 - 11*c**3 + 14*c**t + c - c.
3*c**2*(c - 1)
Let d(j) be the third derivative of j**8/2016 - j**7/420 + j**6/360 + j**5/180 - j**4/48 + j**3/36 - 55*j**2 - j. Factor d(k).
(k - 1)**4*(k + 1)/6
Let y be (16/20)/((-4)/(-10)). Let p(w) = -19*w**5 + 9*w**4 + 5*w**2 - 5. Let f(x) = 9*x**5 - 4*x**4 - 2*x**2 + 2. Let v(k) = y*p(k) + 5*f(k). Solve v(r) = 0.
0, 2/7
Suppose -50*q = -516 - 84. Let z(j) be the first derivative of -1/4*j**2 + 1/6*j**3 + q + 0*j. Solve z(o) = 0.
0, 1
Let q(r) = r**3 - 3*r**2 - 2*r - 8. Let h be q(4). Factor h*p**2 - 5*p**2 - 6*p - 2*p**3 + 5*p**3 + 2*p**2.
3*p*(p - 2)*(p + 1)
Let z = 30 + -26. Factor 2*w**4 - 1 + 2*w**3 - 3 - 10*w**2 + 6*w + z.
2*w*(w - 1)**2*(w + 3)
Let d be 372/27 - (-4)/18. Let c = 18 - d. Factor 2*m - m**4 + 4*m**2 - 4*m**4 + m**c - 2*m**5.
-2*m*(m - 1)*(m + 1)**3
Let f(w) be the second derivative of -2*w**7/21 - 4*w**6/15 + 2*w**5/5 + 8*w**4/3 + 14*w**3/3 + 4*w**2 + 171*w. Solve f(x) = 0 for x.
-1, 2
Let z(c) = -3*c + 329. Let n be z(109). Factor -1/5*q**3 + 0 - 2/5*q**n - 1/5*q.
-q*(q + 1)**2/5
Let d be (-2)/(-8) + (-22)/(-8). Factor 9 + 12*a**4 + 9 + 7*a**3 - 14 - 16*a**2 - 8*a + a**d.
4*(a - 1)*(a + 1)**2*(3*a - 1)
Factor -2/5*j**3 - 88/5*j - 16 - 28/5*j**2.
-2*(j + 2)**2*(j + 10)/5
Let c(f) be the first derivative of 4*f**5/5 + 8*f**4 + 24*f**3 + 32*f**2 + 20*f + 93. Solve c(w) = 0.
-5, -1
Let o be (4/6)/(168/27 + -6). Determine v so that 63*v**2 - 83*v**2 - 6*v - 9*v - 5*v**o = 0.
-3, -1, 0
Let o(c) be the second derivative of 0 - 12*c + 0*c**2 - 1/4*c**4 + 0*c**3. Determine n, given that o(n) = 0.
0
Suppose 5*o = -2*s + 1, s + 0 - 2 = -4*o. Let n be o - -3 - (1 + 1). Solve 6*f - 34 + 27*f**n + 34 = 0 for f.
-2/9, 0
Let y(g) be the first derivative of 1/7*g**3 - 3/7*g + 0*g**2 - 16. Determine d, given that y(d) = 0.
-1, 1
Let x(z) be the second derivative of -z**6/1800 - z**5/75 - 7*z**4/120 + 3*z**3 + 8*z. Let d(s) be the second derivative of x(s). Factor d(g).
-(g + 1)*(g + 7)/5
Let o(s) be the third derivative of -s**6/720 + 13*s**5/90 + 4*s**2 + 70*s. Find i such that o(i) = 0.
0, 52
Suppose -3*r = 22*r + 2*r. Let t(s) be the first derivative of 5 + 1/10*s**5 + 0*s**2 + r*s - 1/6*s**3 + 0*s**4. Solve t(m) = 0 for m.
-1, 0, 1
Suppose 0 - 21/4*n**2 + 0*n - 1/4*n**3 = 0. What is n?
-21, 0
Let s(m) be the second derivative of m**7/294 + 4*m**6/105 + 3*m**5/28 - 2*m**4/21 - 8*m**3/21 - 105*m - 2. Factor s(x).
x*(x - 1)*(x + 1)*(x + 4)**2/7
Factor 1/3*y**5 + 0*y + y**3 + 0 + 0*