3*c**2 + 13*c. Let g(i) = 6*t(i) + 13*x(i). Factor g(m).
m**3*(m + 1)*(2*m - 1)
Let f(w) be the second derivative of w**9/2016 + w**8/1120 - w**7/280 - 2*w**3 - 8*w. Let z(r) be the second derivative of f(r). Factor z(c).
3*c**3*(c - 1)*(c + 2)/2
Suppose 2*r - u + 30 = 33, -2*r + 3*u = -1. Factor -1/5 - 3/5*n - 3/5*n**r - 1/5*n**3.
-(n + 1)**3/5
Let d(p) be the third derivative of -p**6/72 - 5*p**5/12 - 125*p**4/24 + p**3/6 - 11*p**2. Let w(u) be the first derivative of d(u). Factor w(h).
-5*(h + 5)**2
Let z be (-1 - -3) + 21 + -19. Suppose -2 + 363*d**2 - 371*d**2 + 4*d**z + 6 = 0. Calculate d.
-1, 1
Let h be (267/(-2))/(3 - 63/18). Factor h - 2*b**4 + 2*b**3 - 267.
-2*b**3*(b - 1)
Let x(j) = -3 - 4 + j**3 + 9 - 3. Let r be x(1). Factor -1/4*m**2 + 1/2*m + r.
-m*(m - 2)/4
Let k(f) be the first derivative of -f**7/63 - 2*f**6/45 + f**4/9 + f**3/9 + 13*f + 14. Let z(c) be the first derivative of k(c). Find b such that z(b) = 0.
-1, 0, 1
What is b in 9801*b + 758 + 297*b**2 + 34621 + 26270 + 46162 + 3*b**3 = 0?
-33
Let s(o) = 4*o**4 + 16*o**2 + 6*o - 14. Let b(m) = -9*m**4 - m**3 - 33*m**2 - 12*m + 29. Let z(w) = -6*b(w) - 13*s(w). Factor z(p).
2*(p - 1)**2*(p + 1)*(p + 4)
Find x such that 35 - 40*x - 108*x**2 + 58*x**2 + 55*x**2 = 0.
1, 7
Let r(s) be the third derivative of -s**9/18144 - s**8/5040 + 5*s**3/2 + 14*s**2. Let w(c) be the first derivative of r(c). Factor w(g).
-g**4*(g + 2)/6
Suppose 0 = 8*j - 12*j + 68. Suppose 5*y = -2*l + 6, 4*y + 5 = 4*l - 7. Solve 11*m**2 - 38*m**l - 3*m**2 + 25*m**3 + j*m**3 = 0.
-2, 0
Let l be (-2)/((-8)/5) - 1. Let k = -1065 - -1067. Factor -k*b + 5/4*b**2 - l*b**3 + 1.
-(b - 2)**2*(b - 1)/4
Let i = 92 + -87. Let r be -2 - (-4)/(7 - i). Solve 6/11*q + r*q**2 + 4/11 - 2/11*q**3 = 0.
-1, 2
Let b(h) be the third derivative of h**8/168 + 2*h**7/105 - h**6/20 - 6*h**2 - 17. Determine r so that b(r) = 0.
-3, 0, 1
Let q(k) be the third derivative of k**9/10080 + k**8/2240 + 11*k**4/24 + 9*k**2. Let t(x) be the second derivative of q(x). Let t(n) = 0. Calculate n.
-2, 0
Let -24*j**3 - 1/4*j**5 + 4*j**4 + 64*j**2 + 0 - 64*j = 0. What is j?
0, 4
Factor -536/7*m + 35912/7 + 2/7*m**2.
2*(m - 134)**2/7
Let q(v) be the first derivative of v**6/54 - 7*v**5/45 + 5*v**4/18 + 2*v**3/27 - 11*v**2/18 + 5*v/9 - 79. Let q(m) = 0. Calculate m.
-1, 1, 5
What is d in -107736/7*d - 2/7*d**3 - 804/7*d**2 - 4812208/7 = 0?
-134
Let s = 6 + -4. Suppose 2*i - s*n - 17 = -3*i, 2*i = -5*n + 30. Let 7*o**2 - 6*o**3 + i*o**4 - 2*o - o**3 + 2*o**3 - 4*o**3 - o**5 = 0. What is o?
0, 1, 2
What is y in 86/9*y**3 - 58/3*y + 34/9*y**2 + 4 + 2*y**4 = 0?
-3, 2/9, 1
Let r(i) be the second derivative of 28*i + 0*i**2 + 0 + 1/15*i**5 + 0*i**4 - 2/9*i**3. Solve r(d) = 0 for d.
-1, 0, 1
Let l = 3621/596 + 26/149. Factor -l*m**2 - 5*m + 5/4.
-5*(m + 1)*(5*m - 1)/4
Let d(f) = f**3 - f. Let a(w) = -3*w**3 - 28*w**2 - 45*w - 20. Let v(y) = a(y) - d(y). Factor v(p).
-4*(p + 1)**2*(p + 5)
Let x = -1487 - -1489. Factor -2/9 - 4/9*z - 2/9*z**x.
-2*(z + 1)**2/9
Let k(i) be the second derivative of i**5/2 - i**4/2 - 47*i - 1. Suppose k(w) = 0. Calculate w.
0, 3/5
Suppose 4*c = 3*t - 38, -3*c - 21 - 15 = -3*t. Suppose 5*v = 8*v + 2*j - 12, v - 4*j + t = 0. Factor 2/3*w - 7/3*w**3 - 5/3*w**v + 0.
-w*(w + 1)*(7*w - 2)/3
Suppose 11*s = 6*s + 20. Suppose 7 = 3*d + 3*w - s*w, -w = 1. Factor 1/4*r + 1/4*r**3 + 1/2*r**d + 0.
r*(r + 1)**2/4
Let g be (-112)/(-48)*(-6)/(-21). Let i(r) be the first derivative of -g*r**3 - 3 - 2*r**2 - 2*r. Suppose i(b) = 0. Calculate b.
-1
Suppose -x + 48 = 43. Let i be 15/x - 2 - (-3)/3. Suppose 1/7*b**5 + 0*b**i - 2/7*b**3 + 1/7*b + 0*b**4 + 0 = 0. Calculate b.
-1, 0, 1
Let o = 10089/12580 + -5/2516. Factor o*w**2 + 0 - 2/5*w - 2/5*w**3.
-2*w*(w - 1)**2/5
Let c(a) = -8*a**2 - 4. Let w(l) = 7*l**2 - l + 4. Let n be (-4)/(3 - -1) - -6. Let y(f) = n*c(f) + 6*w(f). Find s such that y(s) = 0.
1, 2
Let u be 3360/1280*(-40)/(-14). Solve 3/4 - u*m**3 + 99/8*m**2 - 45/8*m = 0 for m.
1/4, 2/5, 1
Let w(m) be the third derivative of -m**6/300 - 11*m**5/150 - 2*m**4/3 - 16*m**3/5 + 4*m**2 + 5. Factor w(k).
-2*(k + 3)*(k + 4)**2/5
Let i(x) be the third derivative of -x**6/200 - 3*x**5/100 + 9*x**4/40 - x**3/2 + 21*x**2. Factor i(d).
-3*(d - 1)**2*(d + 5)/5
Let o = -3778954/145 - -26062. Let v = o - -16/29. Let -2/5*y**4 + 2/5 - v*y**3 + 4/5*y + 0*y**2 = 0. What is y?
-1, 1
Suppose -4*a + 2*o = -3*a + 9, -3*a - 31 = -4*o. Let q(r) = -2*r**3 + 2*r - 6. Let y(h) = 4*h**3 - 4*h + 13. Let k(c) = a*q(c) - 6*y(c). Factor k(t).
2*t*(t - 1)*(t + 1)
Suppose 0 + 1/6*i**3 + 0*i + 0*i**4 + 0*i**2 - 1/6*i**5 = 0. Calculate i.
-1, 0, 1
Let r be (-3)/(-1) + 212/(-76). Let g = 26/57 + r. Find q, given that 4/3*q - 2/3 - g*q**2 = 0.
1
Suppose -p - 3 = -43. Let t = -38 + p. Find s, given that -2/3 + 1/3*s + 1/3*s**t = 0.
-2, 1
Let h(r) = -36*r**3 - 108*r**2 - 88*r + 8. Let q(d) = d**2 + d - 1. Suppose -1 = 2*n + 2*l + 1, -5*n + 5*l = 5. Let u(t) = n*h(t) - 24*q(t). Factor u(c).
4*(c + 1)*(3*c + 2)**2
Let r(w) be the second derivative of 2/3*w**3 - 1/12*w**4 + 0 - 5*w + w**2 - 1/30*w**5. Let q(l) be the first derivative of r(l). Find u, given that q(u) = 0.
-2, 1
Let z be (-4)/(-10) - (-6)/420*32. Solve 2/7*g - 6/7*g**2 - 2/7*g**4 + z*g**3 + 0 = 0.
0, 1
Let n(x) = 3*x**3 + 13*x**2 - 3*x + 5. Let c = 12 + -6. Let r(m) = 2*m**3 + 7*m**2 - m + 3. Let p(b) = c*n(b) - 10*r(b). Determine k so that p(k) = 0.
0, 2
Suppose -480/13*i + 28800/13 + 2/13*i**2 = 0. Calculate i.
120
Let w(x) be the second derivative of -x**4/12 + 19*x**3/6 - 17*x**2 - 189*x. Solve w(f) = 0 for f.
2, 17
Let y(w) be the second derivative of -w**7/630 + w**6/30 - 3*w**5/10 + 19*w**4/6 + 40*w. Let j(o) be the third derivative of y(o). Solve j(q) = 0.
3
Let w(u) be the third derivative of u**7/560 - 7*u**6/2160 - u**5/360 + u**3 - 3*u**2. Let i(r) be the first derivative of w(r). Factor i(b).
b*(b - 1)*(9*b + 2)/6
Suppose -5*o + 2*u + 14 = 0, 4*o - 3*u = 5 + 9. Find x, given that 3*x**3 - x**5 + 10*x**o - 7*x**2 - 5*x**2 = 0.
-2, 0, 1
Let h = 7 + -4. Let u = -46 - -50. Solve a**2 - 3*a**2 - 2*a**u + 2*a**h - 5*a**3 + 7*a**3 = 0.
0, 1
What is q in 0*q - 8*q**2 - 1/4*q**5 + 3/2*q**4 + 0 + 0*q**3 = 0?
-2, 0, 4
Let t(l) be the first derivative of -1/5*l**5 - 9 + 0*l**3 - 1/2*l**4 + 0*l + 0*l**2. Factor t(r).
-r**3*(r + 2)
Let t(f) = 4*f - 56. Let s be t(14). Factor 12*h**2 + 3*h**3 + s*h**2 - 12*h - 8*h**4 + 5*h**4.
-3*h*(h - 2)*(h - 1)*(h + 2)
Let f(d) be the third derivative of -d**8/5040 + d**6/540 - d**4/72 - 4*d**3/3 - 10*d**2. Let o(b) be the first derivative of f(b). Factor o(x).
-(x - 1)**2*(x + 1)**2/3
Let i(g) be the third derivative of -g**5/12 - 5*g**4/4 - 20*g**3/3 - 15*g**2 - g. Factor i(h).
-5*(h + 2)*(h + 4)
Let m(z) be the third derivative of 0 - 1/6*z**3 + 1/48*z**4 + 1/120*z**6 + 0*z + 1/24*z**5 + 6*z**2. Factor m(s).
(s + 1)*(s + 2)*(2*s - 1)/2
Suppose -8 - 8 - 594*v - 2636*v**2 - 5090*v**3 - 3696*v**4 + 218*v - 882*v**5 = 0. Calculate v.
-2, -1, -2/21
Let k(r) be the first derivative of -r**6/12 + r**5/2 - 3*r**4/4 - r**3/3 + 7*r**2/4 - 3*r/2 - 127. Let k(p) = 0. Calculate p.
-1, 1, 3
Let s(b) = -44*b**2 - 1380*b + 176. Let q(z) = 8*z**2 + 197*z - 25. Let g(j) = 20*q(j) + 3*s(j). Factor g(u).
4*(u - 7)*(7*u - 1)
Find p such that 21*p**3 - 13*p + 24 + 89*p + p**4 + 75*p**2 - 3*p + 6*p**3 = 0.
-24, -1
Let l(q) be the second derivative of -5*q + 0 - 1/5*q**3 + 1/20*q**4 + 3/10*q**2. Factor l(d).
3*(d - 1)**2/5
Let r(j) be the first derivative of 0*j**2 - 1/5*j**5 - 5 - 2/3*j**4 - 2/3*j**3 + 2*j. Let c(z) be the first derivative of r(z). Factor c(l).
-4*l*(l + 1)**2
Factor 3/5*a + 3/5*a**2 + 0 - 3/5*a**4 - 3/5*a**3.
-3*a*(a - 1)*(a + 1)**2/5
Let b(p) = p**3 - 2*p + 5. Let n be b(0). Let k(s) be the second derivative of 0*s**3 + 0 - 1/18*s**5 - n*s + 4/135*s**6 + 1/54*s**4 + 0*s**2. Factor k(y).
2*y**2*(y - 1)*(4*y - 1)/9
What is y in 122*y - 4*y**3 - 16*y + 33*y + 9*y - 144*y**2 = 0?
-37, 0, 1
Let j(p) = -4*p**2 + 28*p + 3. Let a(x) = 7*x + 4*x**2 - 9*x - 26*x - 4. Let y(v) = -3*a(v) - 4*j(v). Factor y(u).
4*u*(u - 7)
Let i be 5/(-20) - 1/(-4). Suppose i*h + 4 = 4*h. What is m in -2 + m**3 + h + m + 2*m**2 + 1 = 0?
-1, 0
Suppose 5*c - 6 = c + 2*u, -2*u - 6 = -5*c. Suppose p - 5*j = 4*p - 48, 