*2 - 18/23*q = 0.
-1, 5
Let b(k) be the second derivative of 0 - 2/7*k**3 - 9/14*k**2 - 1/28*k**4 + 8*k. Factor b(q).
-3*(q + 1)*(q + 3)/7
Factor 32/19 - 8/19*h + 2/19*h**3 - 8/19*h**2.
2*(h - 4)*(h - 2)*(h + 2)/19
Let x(j) be the first derivative of -2*j**3/3 - 26*j**2 + 54*j - 70. Suppose x(b) = 0. What is b?
-27, 1
Factor 20*f**2 + 80*f - 171*f**3 + 166*f**3 - 20*f.
-5*f*(f - 6)*(f + 2)
Let f(w) = -4*w**2 + 18*w - 26. Let q(c) = -11*c**2 + 54*c - 77. Let m(r) = -17*f(r) + 6*q(r). Find o such that m(o) = 0.
-10, 1
Let d(l) be the first derivative of -l**6/4 - 7*l**5/10 + 37*l**4/8 - 17*l**3/6 - 5*l**2/2 - 206. Determine s, given that d(s) = 0.
-5, -1/3, 0, 1, 2
Let f be ((-4 - 2)/(-2))/3. Suppose 1 = a + l, -a - f = 2*l + l. Find j such that -14/3*j**3 + a*j**4 + 10/3*j**2 - 2/3*j + 0 = 0.
0, 1/3, 1
Let s(t) be the first derivative of 25*t**7/42 + t**6/2 - t**5/2 - 17*t + 22. Let z(i) be the first derivative of s(i). Find m, given that z(m) = 0.
-1, 0, 2/5
Let h(v) be the third derivative of v**5/6 + 7*v**4/24 - v**3/2 + 12*v**2. Let f(y) = -5*y**2 - 3*y + 2. Let z(t) = -7*f(t) - 3*h(t). Solve z(j) = 0.
-1, 1
Let w be (4 + -6)*(-2 - (-158)/76). Let p = w - -25/38. Solve p - 3/4*h + 1/4*h**2 = 0 for h.
1, 2
Let y(b) be the second derivative of 5*b**4/11 + b**3/3 + b**2/11 + 2*b + 15. Factor y(a).
2*(5*a + 1)*(6*a + 1)/11
Factor 0 + 16/3*l**4 + 8*l**3 + 16/3*l**2 + 4/3*l**5 + 4/3*l.
4*l*(l + 1)**4/3
Let h be (-186)/(-45) + (-13)/780*8. Let p(s) be the first derivative of 0*s + 11 + 5/2*s**2 + 25/3*s**3 + 35/4*s**h + 3*s**5. Factor p(a).
5*a*(a + 1)**2*(3*a + 1)
Let p(s) be the third derivative of s**6/90 + 7*s**5/60 + s**4/4 - 2*s**3 + 8*s**2. Let y(d) be the first derivative of p(d). Factor y(c).
2*(c + 3)*(2*c + 1)
Let r(c) be the second derivative of -c**6/10 - 9*c**5/10 - 13*c**4/4 - 6*c**3 - 6*c**2 + 191*c. Determine i, given that r(i) = 0.
-2, -1
Find s, given that 0 - s - 5/4*s**2 - 1/4*s**3 = 0.
-4, -1, 0
Let i = -906 - -908. Let c(l) be the second derivative of 0 - 11*l - 1/24*l**4 + 1/12*l**3 + 0*l**i. Solve c(g) = 0 for g.
0, 1
Let -153903*p + 199*p**4 + 17337 + 88566*p**2 - 3*p**5 + 55830 + 68*p**4 - 8094*p**3 = 0. Calculate p.
1, 29
Let u be (310/(-90))/((-10)/(-12)). Let l = -14/5 - u. Let l - 8/3*o + 4/3*o**2 = 0. Calculate o.
1
Let j(f) be the second derivative of -f**6/10 + 3*f**5/4 - 7*f**4/4 + 3*f**3/2 - 26*f. Factor j(o).
-3*o*(o - 3)*(o - 1)**2
Factor -216 - 536*c**3 - 28/3*c**5 - 344/3*c**4 - 1152*c**2 - 1044*c.
-4*(c + 3)**4*(7*c + 2)/3
Let n = -31119 - -466801/15. Find o such that 2/15*o**5 + 4/5*o**4 + 0 - 4/5*o**2 - 6/5*o + n*o**3 = 0.
-3, -1, 0, 1
Let f be (-19)/(-42) + 3/(-18). Let x be (-24 + 23)*(-2 + 2). Factor -f*j**2 + x*j + 0.
-2*j**2/7
Let h(q) = 3*q**2 + 4*q + 10. Let u be h(-5). Determine o, given that 2*o - 26*o**2 + 75*o**3 - u*o**4 + 10*o**2 + 20*o**5 - 19*o**2 + 3*o = 0.
0, 1/4, 1
Suppose -85*f + 35 = -179 - 126. Factor 4/17*h**3 + 0*h**2 + 2/17 - 2/17*h**f - 4/17*h.
-2*(h - 1)**3*(h + 1)/17
Let f be (-20)/24 + (30/20)/1. Factor -f + 4/9*d + 2/9*d**2.
2*(d - 1)*(d + 3)/9
Let q(l) be the third derivative of 0*l - 1/588*l**8 - 2/35*l**6 + 0 - 20*l**2 + 0*l**3 - 4/245*l**7 + 0*l**4 - 8/105*l**5. Factor q(j).
-4*j**2*(j + 2)**3/7
Let n(k) be the third derivative of k**6/180 - 17*k**5/90 + 7*k**4/4 + 9*k**3 - 2*k**2 + 3*k. Let n(i) = 0. What is i?
-1, 9
Suppose -v**2 - v**3 + 2 + 9*v + 9*v**3 + 11*v**2 + 8*v**2 + 3*v = 0. Calculate v.
-1, -1/4
Let v(x) be the second derivative of x**4/132 + 2*x**3/33 + 2*x**2/11 + 106*x. Determine w so that v(w) = 0.
-2
Suppose 36 + 3*s**2 - 16*s - 6*s + 64*s + 15 + 21 = 0. What is s?
-12, -2
Let v(p) = 5*p**4 + 6*p**3 - 4*p**2 + 5. Let r(j) = -9*j**4 - 11*j**3 + 7*j**2 - 9. Suppose 19 + 3 = 2*x. Let s(c) = x*v(c) + 6*r(c). Factor s(w).
(w - 1)**2*(w + 1)**2
Suppose -9*o + 13 = -m - 6*o, -2*m + 5*o = 21. Factor -11 - 2 + 5*w - 25*w - 9 + m*w**2.
2*(w - 11)*(w + 1)
Find v such that 25/7*v**2 + 1/7*v**4 - 10/7*v**3 + 0*v - 36/7 = 0.
-1, 2, 3, 6
Let w(y) be the third derivative of -y**5/60 - 5*y**4/24 + 226*y**2. Factor w(q).
-q*(q + 5)
Suppose -21*n + 672 = -27*n. Let j = 451/4 + n. Solve 0*f - 3/2*f**3 + 0 + j*f**4 + 3/4*f**2 = 0 for f.
0, 1
Solve -35/3*m**2 - 4/3 - 26/3*m + 49/6*m**3 = 0.
-2/7, 2
Let i be 18*(12552/(-97155) + 6/51). Let c = -1/127 - i. Factor -c - 2/5*d**3 + 1/5*d**4 + 0*d**2 + 2/5*d.
(d - 1)**3*(d + 1)/5
Suppose 28*g + 106 = 81*g. Factor 2*h + 2/3*h**g + 0.
2*h*(h + 3)/3
Factor 137 + 3*f**5 - 137 + f**4.
f**4*(3*f + 1)
Suppose -36*w = -20*w - 18*w. Let x(o) be the first derivative of 4 + w*o**2 + 1/5*o**3 + 0*o - 3/20*o**4. Solve x(v) = 0 for v.
0, 1
Let z(f) = -f**2 - 1944*f - 15484. Let o be z(-8). Find p such that -1/6*p**o - 2/3 + 5/6*p**2 - 1/2*p**3 + 1/2*p = 0.
-4, -1, 1
Let a(b) = -6*b**3 - 5*b**2 - 32*b + 11. Let l(i) = i**3 + i**2 + 6*i - 2. Let x(w) = 4*a(w) + 22*l(w). Solve x(z) = 0.
-1, 0, 2
Factor 184/9*c + 28/3*c**2 + 10/9*c**3 - 1/9*c**4 + 128/9.
-(c - 16)*(c + 2)**3/9
Let d(j) be the third derivative of -j**5/90 - 7*j**4/180 - 2*j**3/45 - 4*j**2 + 1. Find o such that d(o) = 0.
-1, -2/5
Let k be 2/3 - (-6 + (-55)/(-15)). Factor -12*s**2 + 16*s**3 - 37*s**k - 9*s + 18*s**3.
-3*s*(s + 1)*(s + 3)
Let x(d) be the third derivative of -d**7/560 + d**6/180 - d**5/240 + 7*d**3/6 + d**2. Let a(z) be the first derivative of x(z). Solve a(f) = 0 for f.
0, 1/3, 1
Suppose -41*h = -33 - 90. Let g(z) be the first derivative of z - 5/4*z**2 - z**5 + 5/4*z**4 + 0*z**h + 1/4*z**6 + 3. Solve g(p) = 0 for p.
-2/3, 1
Suppose -3*f = -50 + 5. What is y in f*y**4 + 244*y + 161*y**3 - 84*y + 280*y**2 + 35*y**4 + 19*y**3 + 5*y**5 = 0?
-4, -2, 0
Let n be (-328)/369*1/(-4)*3. Let s(p) be the first derivative of 0*p**2 + 0*p - 1/4*p**4 + n*p**3 + 7. Determine z so that s(z) = 0.
0, 2
Let y(i) = -5*i**5 + i**4 + i**3 - 5*i**2 - 4*i + 4. Let n(c) = -6*c**5 + c**4 + c**3 - 6*c**2 - 5*c + 5. Let x(m) = 4*n(m) - 5*y(m). Factor x(r).
r**2*(r - 1)**2*(r + 1)
Let o(z) be the third derivative of -z**7/350 - z**6/50 - z**5/25 + 75*z**2 + 3. Let o(j) = 0. Calculate j.
-2, 0
Let y(o) be the second derivative of -o**4/9 + 20*o**3/9 + 22*o**2/3 - 22*o - 3. Let y(l) = 0. Calculate l.
-1, 11
Let s = 2231 + -2231. Factor 10/9*m**2 + s - 2/9*m.
2*m*(5*m - 1)/9
Let n(t) be the second derivative of -t**5/20 - 5*t**4/12 - t**3/2 + 9*t**2/2 + 168*t. Factor n(x).
-(x - 1)*(x + 3)**2
Let q = 44 + -50. Let i(d) = -25*d**2 - 32*d - 49. Let p(y) = -3*y**2 - 4*y - 6. Let j(a) = q*i(a) + 51*p(a). Factor j(f).
-3*(f + 2)**2
Suppose -11*r - 15 = -10*r - 4*r. Suppose 1/4*c**4 - 5/4*c**2 + 0 - 1/4*c**r + 1/2*c + 3/4*c**3 = 0. What is c?
-2, 0, 1
Let j(l) be the third derivative of -l**6/24 - 155*l**5/12 - 1535*l**4/24 - 255*l**3/2 + 298*l**2. Solve j(h) = 0.
-153, -1
Let r(u) be the second derivative of u**5/10 + 5*u**4/6 + 7*u**3/3 + 3*u**2 + 42*u. Determine z so that r(z) = 0.
-3, -1
Let o(d) be the first derivative of -5*d**3/3 + 5*d**2 + 40*d + 88. Factor o(r).
-5*(r - 4)*(r + 2)
Let q(b) be the first derivative of 0*b**2 - 14 + 0*b**3 + 12/5*b**5 + 0*b + 3/4*b**4. Factor q(i).
3*i**3*(4*i + 1)
Let x be ((-26)/(-6) + -4)*-129. Let w = -40 - x. Let 1/2*j**2 - 1/4*j**w + 1/4*j - 1/2 = 0. What is j?
-1, 1, 2
Suppose -3*z = -5*k + 5, -5*z - 4*k - 26 - 7 = 0. Let h be (23 + -23)/((1 + -2)*z). Factor -3/4*m + 0 + 3/2*m**3 + 0*m**4 + h*m**2 - 3/4*m**5.
-3*m*(m - 1)**2*(m + 1)**2/4
Let p(b) = b + 7. Let x be p(-3). Factor 17 - 17 - 4*h + 8*h + x*h**3 - 8*h**2.
4*h*(h - 1)**2
Factor -88/7*z**2 - 80/7 + 4/7*z**3 + 164/7*z.
4*(z - 20)*(z - 1)**2/7
Let h(w) be the first derivative of w**3/9 - 2*w**2 + 11*w/3 - 47. Let h(t) = 0. What is t?
1, 11
Let q(z) be the second derivative of z**4/6 + 5*z**3/6 + 2*z**2 - 26*z. Let r be q(-2). Factor 26/5*c**r + 46/5*c**4 - 54/5*c**3 + 0 - 4/5*c - 14/5*c**5.
-2*c*(c - 1)**3*(7*c - 2)/5
Let a(o) = -2*o**4 + 13*o**3 - 11*o**2. Let g(b) = b**4 - 7*b**3 + 6*b**2. Let p = 27 + -16. Let n(u) = p*g(u) + 6*a(u). Factor n(z).
-z**3*(z - 1)
Suppose -9 = -2*l + 3*n, -5*l - 6*n = -4*n - 32. Suppose -2*u = -6, -5*p + p + 66 = 2*u. Factor -3*x - 9*x**3 + 9 - p*x**2 - l + 0*x.
-3*(x + 1)**2*(3*x - 1)
Let i = 18 + -16. Determine d, given that -4*d**2 - 1 - 2 + i*d + 3*d**2 + 2 = 0.
1
