t j(o) be the second derivative of 0 + 1/3*o**4 + 4*o**2 - 2*o**3 + 27*o. Factor j(v).
4*(v - 2)*(v - 1)
Let d(o) be the first derivative of 21*o**4/4 + 65*o**3 + 111*o**2 + 48*o - 270. Find n, given that d(n) = 0.
-8, -1, -2/7
Suppose -3 - 18*q + 38*q + 17 + 18 + 2*q**2 = 0. What is q?
-8, -2
Factor 13/9*o - 1/9*o**3 + 10/9 + 2/9*o**2.
-(o - 5)*(o + 1)*(o + 2)/9
Suppose -45*g**2 + 6*g**4 - 119*g**2 - 26*g - 230*g**5 + 114*g**3 - 8*g + 222*g**5 - 14*g = 0. What is g?
-4, -1/4, 0, 2, 3
Suppose 5*v = 3*c + c + 29, -2*v = 5*c - 5. Suppose 57*s**3 + 27*s**v - 2*s**2 + 3*s**2 + 99*s**4 + 9*s**2 - s**2 = 0. What is s?
-3, -1/3, 0
Let k(p) be the third derivative of -p**8/1176 - 2*p**7/735 + 3*p**6/140 + p**5/105 - 2*p**4/21 - p**2 - 4. Solve k(i) = 0 for i.
-4, -1, 0, 1, 2
Let p(l) = -l**4 - l**3 - l**2 - l. Let n(j) = -2*j**4 - 2*j**3. Let q(c) = n(c) - p(c). Factor q(f).
-f*(f - 1)*(f + 1)**2
Let q(g) = -g**3 + 5*g**2 - 3*g - 2. Let v be q(4). Factor -139*f**v - 3 - 3*f**4 + 3 + 142*f**2.
-3*f**2*(f - 1)*(f + 1)
Let r(w) be the third derivative of -w**6/540 + w**4/9 + 16*w**3/27 + 6*w**2 - 12*w. Let r(i) = 0. What is i?
-2, 4
Let c(g) be the second derivative of -g**5/50 - 6*g**4/5 - 23*g**3/5 - 34*g**2/5 - 58*g + 6. Factor c(x).
-2*(x + 1)**2*(x + 34)/5
Let a = -58 - -176/3. Let y(c) be the second derivative of -4*c + c**2 + 0 + 1/6*c**4 - a*c**3. Determine p so that y(p) = 0.
1
Let g = -2006 - -2008. Factor -8/5*a**2 - 4/5 - 2/5*a**3 - g*a.
-2*(a + 1)**2*(a + 2)/5
Let c(a) be the third derivative of -a**7/525 - a**6/6 - 191*a**5/50 + 65*a**4/3 - 676*a**3/15 + 4*a**2 + 12*a. Solve c(s) = 0.
-26, 1
Let q(k) be the first derivative of -5 - 2*k**2 - 9/7*k**4 + 19/7*k**3 + 4/7*k. Factor q(b).
-(3*b - 2)**2*(4*b - 1)/7
Let b(a) be the second derivative of a**7/56 + a**6/40 - 3*a**5/10 - a**4/2 + 2*a**3 + 6*a**2 - 137*a. Let b(i) = 0. Calculate i.
-2, -1, 2
Let m(g) = 4*g**2 - 568*g - 547. Let p(t) = -t**2 + 283*t + 274. Let j(a) = 2*m(a) + 5*p(a). Factor j(k).
3*(k + 1)*(k + 92)
Let j(p) be the third derivative of 0*p**5 - 1/15*p**6 + 0*p**3 + 0 + 0*p + 1/84*p**8 - p**2 + 0*p**7 + 1/6*p**4. Find x such that j(x) = 0.
-1, 0, 1
Let f(u) = 2*u**2 - 5*u - 14. Let x be f(6). Factor -45 + 37*h + 39 - x*h + 6*h**2.
3*(h + 2)*(2*h - 1)
Let q = 1 + 1. Suppose -128 - t**2 + 4*t**2 - t**q + 32*t - 4*t**2 = 0. Calculate t.
8
Let b be (-36)/(-162)*15/10. Let m**3 + b*m**2 + 0*m + 0 + 1/3*m**5 + m**4 = 0. What is m?
-1, 0
Suppose 4*w = 3*f - 2, -2*f + w + 20 = 3*w. Suppose -g = 2*g - f. Solve 2*j**g - 3 - 4 + 5 = 0.
-1, 1
Let b be -2 - ((-4)/4 + 0). Let g be b/12*-4*(-3)/(-4). Factor -1/2*n + 0 + g*n**2.
n*(n - 2)/4
Let m(b) be the first derivative of -b**5 + 55*b**4/4 + 125*b**3/3 + 65*b**2/2 - 244. Factor m(c).
-5*c*(c - 13)*(c + 1)**2
Let a be 7 + -6 + 2*46/(-72). Let v = 61/90 + a. Factor -v - 1/5*s**3 + 3/5*s**2 + 1/5*s - 1/5*s**4.
-(s - 1)**2*(s + 1)*(s + 2)/5
Suppose -5*g = -25 - 5. Let z be (-1079)/(-507) - (-2)/g. Factor 16/13*i - z - 2/13*i**2.
-2*(i - 4)**2/13
Let c(w) be the second derivative of 5/21*w**3 + 6*w - 1/84*w**4 + 0 + 0*w**2. Factor c(f).
-f*(f - 10)/7
Find t, given that 1245/7*t**3 - 12/7*t + 1233/7*t**4 - 12/7 + 351/7*t**5 + 363/7*t**2 = 0.
-2, -1, -1/3, 2/13
Let i = 4184/31305 - 2/6261. Find f, given that -i*f**4 + 4/15*f**3 + 0 - 4/15*f + 2/15*f**2 = 0.
-1, 0, 1, 2
Let p(h) be the first derivative of 0*h**2 + 2/5*h**5 - 1/6*h**6 - 40 + 0*h + 0*h**3 - 1/4*h**4. Factor p(z).
-z**3*(z - 1)**2
Let q(r) = r**3 - 2*r**2 - 22*r - 12. Let t be q(6). Let d(x) be the third derivative of 0 + 0*x - 1/15*x**5 + 1/3*x**4 + 8*x**2 + t*x**3. Solve d(h) = 0 for h.
0, 2
Let j(z) be the third derivative of -3*z**8/1064 - 11*z**7/1995 + 7*z**6/1140 + 11*z**5/570 + z**4/114 - 6*z**2 + 6. What is b in j(b) = 0?
-1, -2/9, 0, 1
Let r(h) be the first derivative of -h**7/168 - h**6/72 + h**5/12 + 11*h**3/3 - 10. Let x(d) be the third derivative of r(d). Solve x(z) = 0 for z.
-2, 0, 1
Let a = 655966/382655 + 2/54665. Solve -a*z + 3/7 + 15/7*z**2 - 6/7*z**3 = 0 for z.
1/2, 1
Factor -84*h**3 + 383*h**3 - 96*h**3 - 81*h**3 + 15*h**2 - 10*h - 97*h**3.
5*h*(h + 1)*(5*h - 2)
Let v(d) be the first derivative of 3*d**5/5 - 15*d**4/2 + 33*d**3 - 54*d**2 - 3. Factor v(f).
3*f*(f - 4)*(f - 3)**2
Suppose -6*y + 53 = 29. Let q(i) be the second derivative of -9/8*i**2 + 1/4*i**3 + 0 - 5*i - 1/48*i**y. Find x such that q(x) = 0.
3
Let b(d) be the first derivative of -d**8/420 - d**7/35 - d**6/90 + 4*d**5/5 - 8*d**4/3 + 13*d**3/3 + 3. Let l(n) be the third derivative of b(n). Factor l(f).
-4*(f - 1)**2*(f + 4)**2
Let k(n) be the second derivative of n**6/6 + 3*n**5/2 + 65*n**4/12 + 10*n**3 + 10*n**2 - 31*n. Determine f so that k(f) = 0.
-2, -1
Find s, given that -12*s**3 - s + 16 + 0*s - 20*s**2 + 16*s + 4*s**4 - 3*s = 0.
-1, 1, 4
Let v(z) be the first derivative of -7*z**4/4 + 3*z**3 - z**2 + 204. Let v(f) = 0. What is f?
0, 2/7, 1
Let d = -10 - -7. Let c(u) = -3*u - 6. Let k be c(d). Factor 0 + 0*p - 2/3*p**k - 4/3*p**2.
-2*p**2*(p + 2)/3
Let v(m) be the second derivative of 1/2*m**4 - 3*m**2 + 0 + 1/2*m**3 - 19*m - 3/20*m**5. Solve v(u) = 0.
-1, 1, 2
Let u be (4/(-6))/(10/(-75)). Let f(s) = -s**3 + 6*s**2 - s - 4. Let m be f(u). Factor -3*o**2 - 7 - 6 - 2*o + 3*o**3 + m - o.
3*(o - 1)**2*(o + 1)
Suppose 5*h = 2*s - 31, -4*s + 4*h - 28 = -60. What is m in -1/2*m**s + 0 + m**2 + 3/2*m = 0?
-1, 0, 3
Let z(b) be the second derivative of 5/6*b**4 + 5/3*b**6 - 11*b + 0*b**2 + 0*b**3 - 5/14*b**7 + 0 - 9/4*b**5. Suppose z(s) = 0. Calculate s.
0, 1/3, 1, 2
Let d(u) be the first derivative of -u**3/3 - 3*u**2/2 + 4*u - 10. Let n be d(-4). Let 2*x**2 + n + 22/7*x**4 + 4/7*x - 40/7*x**3 = 0. What is x?
-2/11, 0, 1
Suppose 6*p = 2*p + 4. Find f such that -4*f + 1262*f**2 - p - 1261*f**2 + 4 = 0.
1, 3
Let r(m) be the third derivative of 5/6*m**4 + 4/3*m**3 - 2/35*m**7 + 1/15*m**5 + 13*m**2 - 1/6*m**6 + 0*m + 0. Determine l so that r(l) = 0.
-1, -2/3, 1
Let v(p) = 7*p**2 + 9*p + 2. Let w(l) = -4*l**2 + 7*l**2 - 3 + 4*l + 4 + 0*l. Let x(t) = -6*v(t) + 15*w(t). Find b, given that x(b) = 0.
-1
Let j(d) be the second derivative of 28*d + 3*d**2 - 1/4*d**4 + 0 - 1/2*d**3. Suppose j(c) = 0. What is c?
-2, 1
Suppose 554*l - 558*l = -36. Let g(x) be the second derivative of -3/10*x**2 - 1/60*x**4 + 1/100*x**5 + 0 + l*x - 1/6*x**3. Let g(c) = 0. Calculate c.
-1, 3
Let f(s) be the first derivative of s**5/10 - s**4/8 - s**3/6 + s**2/4 + 29. What is a in f(a) = 0?
-1, 0, 1
Suppose 7*s - 6*s - 2 = 0. Suppose -d - 2*r = 8, 0 = -3*d - s*r - 1 - 3. Solve -1/4*t**4 + 8*t + 2*t**3 - 4 - 6*t**d = 0 for t.
2
Let f be (-24)/(-1)*338/52. Let y = 156 - f. Factor -9/5*j + 3/5*j**2 + y.
3*j*(j - 3)/5
Solve 2*f - f**3 - 3*f + 5*f + 20 - 23*f**2 + 3*f**2 - 3*f**3 = 0.
-5, -1, 1
Let l(k) be the first derivative of -k**3/6 - 13*k**2/4 + 7*k - 149. Solve l(b) = 0.
-14, 1
Let u = -3052/9 - -340. Let -8/9*p**3 + 4/9*p**4 - 4/9 + 0*p**2 + u*p = 0. Calculate p.
-1, 1
Let a(f) be the first derivative of f**4/4 + 7*f**3/3 + 7*f**2/2 + 9*f + 4. Let m be a(-6). Factor -4*s**4 + s**2 + 0*s**2 - 2*s**3 + 10*s**3 + m*s**2 - 8*s.
-4*s*(s - 2)*(s - 1)*(s + 1)
Let l(o) = o**3 - o. Let m(x) = -6*x**3 + 2*x**2 + 5*x + x**4 - 2*x**4 + 0*x**3. Let v be (-3)/(-2 + -1)*10. Let b(s) = v*l(s) + 2*m(s). Factor b(u).
-2*u**2*(u - 1)*(u + 2)
Let 8/9*w**2 + 0*w - 14/9*w**3 + 0 + 4/9*w**4 + 2/9*w**5 = 0. What is w?
-4, 0, 1
Let q(d) = -3*d**3 + 90*d**2 + 50*d - 2581. Let u(s) = s**3 - 22*s**2 - 12*s + 645. Let h(x) = -6*q(x) - 22*u(x). Factor h(c).
-4*(c - 4)*(c + 9)**2
Factor -129*m**2 + 7*m**3 + 125*m + 0*m**3 - 11*m**2 + 195 - 2*m**3 + 75.
5*(m - 27)*(m - 2)*(m + 1)
Let j(g) be the third derivative of -2*g**7/105 + g**6/5 - 3*g**5/5 + 2*g**4/3 + 2*g**2. Factor j(p).
-4*p*(p - 4)*(p - 1)**2
Let i = 85 - 79. Factor -2 + 75 + 48 - 28*n + n**2 + i*n.
(n - 11)**2
Factor 1363/4*d**3 + 884*d - 71/4*d**4 + 1/4*d**5 - 289 - 3673/4*d**2.
(d - 34)**2*(d - 1)**3/4
Factor -15/2*d - 1/2*d**4 + 15/2*d**3 - 13/2*d**2 + 7.
-(d - 14)*(d - 1)**2*(d + 1)/2
Let a = 18955 - 18952. Suppose -a*z + 3/2*z**2 + 3/2 = 0. Calculate z.
1
Let i(y) be the first derivative of y**3/6 + 5*y**2/4 + 3*y + 118. Suppose i(p) = 0. Calculate p.
-3, -2
Let g = -1/117 + 313/117. Su