 c?
-2, -1/2
Let c(i) be the second derivative of i**4/16 - 3*i**3/2 + 11*i. Factor c(v).
3*v*(v - 12)/4
Let v(d) be the first derivative of 7 + 4/5*d**2 + 16/15*d**3 + 7/30*d**4 + 5*d. Let u(g) be the first derivative of v(g). Factor u(j).
2*(j + 2)*(7*j + 2)/5
Suppose -7772*d**2 + 7768*d**2 - 2500 + 87*d + 113*d = 0. What is d?
25
Let h(l) be the second derivative of -l**7/6300 - l**6/900 - l**5/300 + 3*l**4/4 - 4*l. Let a(s) be the third derivative of h(s). Factor a(z).
-2*(z + 1)**2/5
Suppose -29*w = -4*g - 27*w, 0 = -2*g - 4*w. Solve g - 2/5*t - 2/5*t**2 = 0.
-1, 0
Let r be 2 - -8 - 4 - (1 - -1). Factor -3*a - 2*a + 2*a + r + a**2 - a.
(a - 2)**2
What is w in -5*w**3 - 20*w**2 - 16*w**2 + 8*w**3 + 11*w**3 - 4*w**3 + 24*w + 16 = 0?
-2/5, 2
Let f(h) be the first derivative of h**3/6 + 5*h**2/2 + 21*h/2 + 87. Factor f(m).
(m + 3)*(m + 7)/2
Let v(x) = 11*x**2 - 26*x + 33. Let a(m) = 31*m**2 - 78*m + 98. Let u(z) = -6*a(z) + 17*v(z). Factor u(j).
(j - 1)*(j + 27)
Let b = -77 - -79. Determine p so that 12*p**2 - 8*p**b + 16*p**3 + 9*p**4 + 3*p**4 = 0.
-1, -1/3, 0
Let a = -166 - -303. Suppose 25 + a = 2*o. Factor -9*q**3 + 3/4*q**4 + 81/2*q**2 - o*q + 243/4.
3*(q - 3)**4/4
Let h(i) be the first derivative of i**4/26 - 12*i**3/13 + 33*i**2/13 - 32*i/13 - 9. Factor h(w).
2*(w - 16)*(w - 1)**2/13
Let r(a) be the third derivative of -1/30*a**5 + 0 - 56*a**2 + 0*a - a**3 + 1/3*a**4. Let r(d) = 0. Calculate d.
1, 3
Let d(s) be the first derivative of 3*s**3/7 - 15*s**2/14 - 6*s/7 + 61. Factor d(i).
3*(i - 2)*(3*i + 1)/7
Let n(j) be the first derivative of -3*j**6/2 - 24*j**5/5 + 9*j**4 + 30*j**3 + 21*j**2/2 - 18*j - 380. Solve n(r) = 0 for r.
-3, -1, 1/3, 2
Let i(r) be the second derivative of r**4/8 - 14*r**3/3 - 19*r**2/4 - 414*r. Let i(w) = 0. Calculate w.
-1/3, 19
Factor -92/5*m - 101/5*m**2 - 26/5*m**3 + 12/5.
-(m + 2)**2*(26*m - 3)/5
Let w(g) = 14*g**3 - 24*g**2 - 4*g. Let y(d) = -5*d**3 + 8*d**2 + d. Let b(h) = 6*w(h) + 17*y(h). Determine a so that b(a) = 0.
-7, -1, 0
Let s(i) be the third derivative of i**8/672 - i**7/140 - i**6/80 + 11*i**5/120 - i**4/8 - 45*i**2 - 1. Factor s(q).
q*(q - 3)*(q - 1)**2*(q + 2)/2
Suppose l + 4 = 6. Determine t, given that -4*t**l - 5*t**2 + 0*t**2 + 4*t + 5*t**2 = 0.
0, 1
Suppose 17 = 2*k - 5*a, -a = -0 + 1. Let m(s) be the second derivative of 1/3*s**4 + 1/10*s**5 + 0*s**2 - 1/15*s**k + 0*s**3 + 0 + 4*s. Factor m(c).
-2*c**2*(c - 2)*(c + 1)
Let s(g) be the first derivative of 81*g**4/4 - 216*g**3 + 864*g**2 - 1536*g + 200. Factor s(c).
3*(3*c - 8)**3
Let d = 6491/3 + -2163. Factor -o**3 + 4/3*o**2 + 1/3*o - d.
-(o - 1)**2*(3*o + 2)/3
Let b = 61 + -50. Factor -2*z**4 + b*z**3 + 13*z**3 - 20*z**3 - 4*z + 2.
-2*(z - 1)**3*(z + 1)
Let s(y) be the second derivative of -1/36*y**3 + 0*y**2 - 1/180*y**6 + 5*y + 0 + 1/72*y**4 + 1/120*y**5. Factor s(d).
-d*(d - 1)**2*(d + 1)/6
Let g = -2 + 3. Let b(f) = 273*f + 1367. Let v be b(-5). Factor 1/3*p**v + g + 4/3*p.
(p + 1)*(p + 3)/3
Let c(o) = -9*o - 6. Let w be c(-3). Let f be 12/w + (-3)/(-7). Factor f - 1 + x**3 - x + x**3 + x**2.
x*(x + 1)*(2*x - 1)
Let w(n) be the third derivative of n**7/35 + n**6/8 - 23*n**5/20 + 5*n**4/4 - 96*n**2. Determine b, given that w(b) = 0.
-5, 0, 1/2, 2
Let k(s) be the first derivative of s**7/70 + s**6/20 - s**4/4 - s**3/2 - 4*s**2 + 6. Let d(q) be the second derivative of k(q). Find y, given that d(y) = 0.
-1, 1
Let k(l) be the third derivative of l**3/6 + 20*l**2. Let w(r) = r**5 - 8*r**3 - 6*r**2 + 7*r + 5. Let g(v) = 3*k(v) + 3*w(v). Determine z, given that g(z) = 0.
-2, -1, 1, 3
Factor 1217 - 6673 + 22047 + 5890 + 13644 + 5*f**2 + 850*f.
5*(f + 85)**2
Let q(v) = -v + 11. Let i be q(-4). Determine d, given that 1 + 5*d**5 + 0 + i*d**4 - 20*d**2 - 1 = 0.
-2, 0, 1
Let x(l) be the third derivative of l**6/24 - 7*l**5/12 + 6*l**2 - 5. Factor x(k).
5*k**2*(k - 7)
Let l(v) = -12*v**3 + 16*v**2 + 44*v - 8. Let q(d) = 8*d**3 - 11*d**2 - 29*d + 5. Let b(o) = -5*l(o) - 8*q(o). Let b(w) = 0. What is w?
-1, 0, 3
Let o be ((-12)/5)/(((-312)/(-16))/(-13)). Let u(q) be the first derivative of 16/15*q**3 - o*q - 14/5*q**2 + 3. Suppose u(w) = 0. What is w?
-1/4, 2
Let o = 4673/1221 - -5/814. Suppose -3/4*l**3 - 47/12*l**2 - o*l - 2/3 = 0. What is l?
-4, -1, -2/9
Let j(h) = -338*h**5 + 397*h**4 + 1538*h**3 + 1042*h**2 + 273*h + 19. Let o(l) = -l**5 - l**4 - l**3 - l + 1. Let w(f) = -2*j(f) - 10*o(f). Factor w(q).
2*(q - 3)*(q + 1)*(7*q + 2)**3
Solve -110*v**2 + 187 + v**3 - 2*v**3 + 3*v**3 + 823*v - 1645 + 743*v = 0.
1, 27
Let m(x) be the second derivative of -1/40*x**5 + 3/4*x**2 + 1/12*x**3 + 0 - 1/8*x**4 + 2*x. Factor m(j).
-(j - 1)*(j + 1)*(j + 3)/2
Let n(c) = 11*c**2 + 20*c. Let g(m) = 25*m**2 + 40*m. Let q(w) = 2*g(w) - 5*n(w). Factor q(o).
-5*o*(o + 4)
Factor 8 - 14*q**3 - 50 - 208*q + q**4 + 170 - 3*q**3 + 96*q**2.
(q - 8)*(q - 4)**2*(q - 1)
Let i(h) be the first derivative of 4*h**6/27 - 6*h**5/5 + 3*h**4 - 86*h**3/27 + 4*h**2/3 + 29. Suppose i(d) = 0. Calculate d.
0, 3/4, 1, 4
Let u(w) be the third derivative of w**8/140 + w**7/30 - w**6/5 + 4*w**5/15 - 5*w**3/6 - 6*w**2. Let o(k) be the first derivative of u(k). Factor o(m).
4*m*(m - 1)*(m + 4)*(3*m - 2)
Let d(b) = 2*b**3 - 3*b**2 - 2*b + 6. Let i be d(2). Factor -3*r**3 + 11*r + i + 3*r + 10*r**2 + 5*r**3.
2*(r + 1)**2*(r + 3)
Let p be -3*(-1 - (-4)/5). Let i = -4/15 + p. Factor 2/3*y - y**2 + 0 + i*y**3.
y*(y - 2)*(y - 1)/3
Suppose -2*s = -3*s + 6. Suppose d + 10 = s*d. Factor -9/4*f**d - 11/4*f - 1/2.
-(f + 1)*(9*f + 2)/4
Suppose 2*c + 2*j = 6*j, 3*j - 5 = -c. Solve u + c*u + 12*u - 5*u**2 = 0 for u.
0, 3
Let u(o) be the first derivative of -196*o**5/25 + 168*o**4/5 - 352*o**3/15 - 192*o**2/5 - 64*o/5 + 266. Factor u(a).
-4*(a - 2)**2*(7*a + 2)**2/5
Suppose 12*y - 17*y = -9*y. Let a(n) be the second derivative of 0*n**3 + 1/60*n**6 + 0*n**5 + 0*n**2 + y*n**4 + 0 + n - 1/84*n**7. Factor a(p).
-p**4*(p - 1)/2
Let j = -26 - -132/5. Suppose j*c**4 - 8/5*c - 8/5*c**3 + 12/5*c**2 + 2/5 = 0. Calculate c.
1
Let n(p) be the second derivative of 0*p**4 - 1/20*p**6 + 26*p + 1/2*p**3 + 3/4*p**2 + 0 - 3/20*p**5. Suppose n(i) = 0. Calculate i.
-1, 1
Let w be (22/3)/(-2)*(-2178)/3993. Find u, given that 6/7*u + 5/7 + 1/7*u**w = 0.
-5, -1
Let w(n) be the second derivative of 5/3*n**4 - 3/2*n**5 + 5/14*n**7 - 5*n**2 + 0 - 1/3*n**6 + 5/2*n**3 - 4*n. Suppose w(s) = 0. Calculate s.
-1, 2/3, 1
Suppose 2*z - n + 2 = 0, 0 = z + 2*z - 5*n + 10. Let c be z/(4/(4/(-2))). Find u such that -2/9*u**3 + 0 + 0*u - 4/9*u**4 + c*u**2 = 0.
-1/2, 0
Let c(f) be the second derivative of f**5/4 - 5*f**4 + 40*f**3 - 160*f**2 - f - 99. Factor c(z).
5*(z - 4)**3
Factor -75/4*m**2 + 6*m + 9/4*m**3 + 0.
3*m*(m - 8)*(3*m - 1)/4
Let k be (-27 - (-2366)/104)*4/(-34). Factor -2 - k*f**2 - 2*f.
-(f + 2)**2/2
Let u = 169 - 161. Let i(x) = 5*x - 35. Let c be i(u). Factor 0*y + 0*y**3 - 2/9*y**c + 0*y**2 - 2/9*y**4 + 0.
-2*y**4*(y + 1)/9
Suppose -38 = r - 39. Suppose r = 3*v + p, v - 1 = 4*v - p. Suppose 34*w**2 + v + 0 + 6*w - 25*w**2 + 3*w**3 = 0. Calculate w.
-2, -1, 0
Let t be 6 + (-3)/1 + -3. Suppose 3*d - 4*d = t. Factor 0 + d*j + 3/2*j**2.
3*j**2/2
Let m(g) be the second derivative of -1 + 7/18*g**4 + 5*g - 1/3*g**3 - 4/3*g**2. Factor m(l).
2*(l - 1)*(7*l + 4)/3
Let p(x) be the third derivative of -x**6/24 - x**5/4 + 5*x**4/4 + 20*x**3/3 + 227*x**2. Solve p(z) = 0 for z.
-4, -1, 2
Let o(h) be the first derivative of -h**6/2 - 18*h**5/5 - 33*h**4/4 - 2*h**3 + 18*h**2 + 24*h - 83. What is s in o(s) = 0?
-2, -1, 1
Let h = 3 + -7. Let l be (-3)/h*(2 - -2). Factor -5*x**2 + l*x**4 - 4*x**3 - 2*x - 4*x**4 + 0*x**4.
-x*(x + 1)**2*(x + 2)
Let k(i) be the third derivative of -i**5/120 + i**4/2 - 23*i**3/12 + 91*i**2. Let k(u) = 0. Calculate u.
1, 23
Let i(x) = -29*x**2 + 29*x. Let p(d) = 5*d**2 - 5*d. Let j(f) = 3*f**3 - 6*f**2 - 7*f. Let y be j(-2). Let r(c) = y*p(c) - 6*i(c). Determine u so that r(u) = 0.
0, 1
Let w(x) be the second derivative of -x**9/24192 + x**8/6720 - x**6/1440 + x**5/960 + 4*x**3/3 - 20*x. Let s(q) be the second derivative of w(q). Factor s(o).
-o*(o - 1)**3*(o + 1)/8
Let w = -604 - -606. Let q(t) be the first derivative of 0*t + 7 - 1/2*t**w - 1/3*t**3. Factor q(m).
-m*(m + 1)
Let q be (-224)/(-170) - 6/51. Let 