 q**3 + q + 1. Let o(j) = -w(j) + 10*y(j). Find b such that o(b) = 0.
0, 2
Let z = 659 - 656. Factor 1/4*m**4 + 2*m**z + 8*m + 4 + 6*m**2.
(m + 2)**4/4
Let d be 1/2 - (19 + -19). What is i in d*i**2 + 1/2*i + 0 - 1/2*i**3 - 1/2*i**4 = 0?
-1, 0, 1
Let d(s) be the third derivative of -s**7/420 + s**6/240 + s**5/60 + 4*s**2. Solve d(n) = 0.
-1, 0, 2
Let w(f) = 5*f**3 + 5*f**2 - 6*f. Let c(u) = 4*u**3 + 4*u**2 - 5*u. Suppose 0 = 5*a - 10*a - 25. Let t(h) = a*w(h) + 6*c(h). Factor t(p).
-p**2*(p + 1)
Let i(b) be the second derivative of b**8/3360 - b**6/360 + b**4/48 - b**3/6 - 3*b. Let c(o) be the second derivative of i(o). Determine q so that c(q) = 0.
-1, 1
Factor -4*h**2 + h**2 + 3 - 9*h**2 - 18*h - 2*h**3 - 11.
-2*(h + 1)**2*(h + 4)
Let h(m) = m**3 + m**2 + m + 1. Let a be h(-1). Suppose 1/2*z**5 + 0*z**3 + a - 1/2*z**4 + 0*z**2 + 0*z = 0. Calculate z.
0, 1
Let a be 2/(-20) - (-2)/10. Let b(k) be the second derivative of -3*k + 2/3*k**4 + 0 + a*k**5 + 1/2*k**2 + 2/21*k**7 - 3/10*k**6 - k**3. Factor b(p).
(p - 1)**3*(p + 1)*(4*p - 1)
Let y(x) be the second derivative of -x**10/105840 - x**9/26460 - x**8/23520 + x**4/12 + 4*x. Let h(n) be the third derivative of y(n). Factor h(w).
-2*w**3*(w + 1)**2/7
Let k(z) be the third derivative of z**6/300 + z**5/50 + z**4/30 + 3*z**2. Factor k(n).
2*n*(n + 1)*(n + 2)/5
Let u = -6 + 5. Let z(h) = -h**2 - 7*h - 4. Let t(o) = o**2 + 1. Let s(p) = u*z(p) - 6*t(p). Suppose s(y) = 0. What is y?
2/5, 1
Let g be 9/15*(-28)/(-21). Let 0 + g*z**3 + 0*z + 1/5*z**4 + 4/5*z**2 = 0. Calculate z.
-2, 0
Factor -12/11*f**3 + 16/11*f**2 + 0*f**4 + 0 - 6/11*f + 2/11*f**5.
2*f*(f - 1)**3*(f + 3)/11
Let o(n) = -n**3 - n**2 + 2*n. Let l be (-32)/14 + (-2)/(-7). Let r be o(l). Find i such that i**3 + r*i**2 - i + 1/2*i**4 - 1/2 = 0.
-1, 1
Let a(l) be the first derivative of l**5/300 + l**4/60 + l**3/30 - l**2/2 + 5. Let d(p) be the second derivative of a(p). Factor d(m).
(m + 1)**2/5
Let j(r) be the first derivative of -4*r**5/5 - 2*r**4 + 4*r**3 + 8*r**2 - 16*r + 16. What is i in j(i) = 0?
-2, 1
Let f(b) be the second derivative of -b**3/6 + 11*b**2/2 + 3*b. Let a be f(9). Solve 9*r**3 - a*r**2 + 2*r - r**3 - 8*r**2 = 0.
0, 1/4, 1
Factor 3/5*k**4 + 0 + 0*k + 6/5*k**3 + 3/5*k**2.
3*k**2*(k + 1)**2/5
Let w(j) be the first derivative of 2*j**5/45 - j**4/6 + 2*j**3/9 - j**2/9 - 3. Factor w(i).
2*i*(i - 1)**3/9
Factor 8/9*d**3 - 8/9*d**4 + 0*d + 0*d**2 + 0 + 2/9*d**5.
2*d**3*(d - 2)**2/9
Find q, given that 4*q**3 - 6*q + 3*q - 3*q - 2*q - 4*q**2 = 0.
-1, 0, 2
Let h(a) be the second derivative of 0 - 1/42*a**7 + 1/20*a**5 + 0*a**2 + 3*a + 0*a**3 - 1/12*a**4 + 1/30*a**6. Factor h(n).
-n**2*(n - 1)**2*(n + 1)
Let j(m) be the third derivative of -m**7/1575 + m**6/225 - m**5/75 + m**4/45 - m**3/45 - 8*m**2. Factor j(g).
-2*(g - 1)**4/15
Let o(w) be the second derivative of -w**4/3 + 8*w**3/3 - 6*w**2 + 3*w. Factor o(u).
-4*(u - 3)*(u - 1)
Find p such that 2*p**4 + 3*p**3 + 16*p**2 - 8*p + 0*p - 13*p**3 = 0.
0, 1, 2
Let d = 41 + -35. Let s be 14/12 - 3/d. Factor 0 + s*i + 2/3*i**3 + 4/3*i**2.
2*i*(i + 1)**2/3
Let l(k) be the third derivative of -k**8/252 + 2*k**7/45 - 19*k**6/90 + 5*k**5/9 - 8*k**4/9 + 8*k**3/9 + 19*k**2. Find v, given that l(v) = 0.
1, 2
Let v(r) = -r**2 - 9*r + 7. Let a be v(-9). Suppose 1 = 4*j - a. Suppose 2*u**3 + 0*u**j - 2*u**2 - 4*u**3 = 0. What is u?
-1, 0
Let n(a) be the second derivative of -3*a - 1/36*a**3 + 0*a**2 + 0 - 1/72*a**4. Suppose n(z) = 0. Calculate z.
-1, 0
Let b be (-8)/12 - (-22)/6. Let d(l) be the third derivative of 1/6*l**b + 1/120*l**5 + 0 - 2*l**2 + 0*l + 1/16*l**4. Factor d(i).
(i + 1)*(i + 2)/2
Let c(y) be the first derivative of -98*y**3/9 + 28*y**2/3 - 8*y/3 + 5. Determine g so that c(g) = 0.
2/7
Let x = 20 - 17. Let s(u) be the first derivative of -2/5*u + 2 - 2*u**x - 7/5*u**2 - 9/10*u**4. Solve s(v) = 0 for v.
-1, -1/3
Suppose 4*w - 27 = 2*j + 11, 32 = 3*w + 2*j. Factor -w*u**5 - 18*u**4 + 2*u**3 - 4*u**3 + 2*u**2 - 4*u**3.
-2*u**2*(u + 1)**2*(5*u - 1)
Let s(n) be the second derivative of n**4/42 - 2*n**3/21 - 3*n**2/7 - 6*n. Factor s(x).
2*(x - 3)*(x + 1)/7
Let w = 29399368953/1820 + -16153500. Let s = -1/260 - w. Factor 0*n + 0 + 2/7*n**3 + 0*n**2 - s*n**4 + 2/7*n**5.
2*n**3*(n - 1)**2/7
Let f = 486 - 6316/13. Find i such that -f*i**2 + 0 + 4/13*i = 0.
0, 2
Solve -6 + 61*b + b**2 + b**2 - 65*b = 0.
-1, 3
Factor -28 + 2*r + 28 - r**3 + r**2.
-r*(r - 2)*(r + 1)
Let d be (-186)/9*(-12)/8. Let v = -91/3 + d. Factor -2/3*k**2 + v + 0*k.
-2*(k - 1)*(k + 1)/3
Let 0*y - 1/2*y**4 + 0*y**3 - 1/2 + y**2 = 0. What is y?
-1, 1
Let c(f) be the third derivative of -f**6/660 - 2*f**5/165 - 5*f**4/132 - 2*f**3/33 - 4*f**2. Factor c(d).
-2*(d + 1)**2*(d + 2)/11
Let a(l) be the second derivative of 0*l**2 + 0*l**4 + 0 + 0*l**3 - 3/40*l**5 + 3/40*l**6 - 6*l - 1/56*l**7. What is n in a(n) = 0?
0, 1, 2
Let z be (-20)/(-6)*(-2)/(-10). Factor -z*q + 0*q**2 + 4/3*q**3 + 0*q**4 + 0 - 2/3*q**5.
-2*q*(q - 1)**2*(q + 1)**2/3
Let q(b) be the first derivative of -3*b**4/4 - b**3 + 3*b + 2. Let a(t) be the first derivative of q(t). Factor a(c).
-3*c*(3*c + 2)
Let b be 2/(-2) - (-15)/(45/12). Factor -2*a**2 + 2/3*a**b + 2*a - 2/3.
2*(a - 1)**3/3
Let b(q) be the second derivative of 0 + 1/10*q**5 + 1/12*q**4 + 0*q**2 + 0*q**3 - 4*q + 1/30*q**6. Suppose b(i) = 0. What is i?
-1, 0
Let u(l) = -l + 5. Let i be u(12). Let n(q) = -q**2 - 6*q + 9. Let b be n(i). Find k, given that 1/2 - 1/2*k**b + 1/2*k**3 - 1/2*k = 0.
-1, 1
Let t(a) = -5*a**5 - 6*a**4 - a**3 - 8*a**2 + 18*a + 2. Let g(w) = w**5 + w**4 - w**3 + w**2 - w + 1. Let b(p) = -6*g(p) - t(p). Find m, given that b(m) = 0.
-2, -1, 2
Suppose 11*q + 27 = 60. Suppose 3/2*r**2 - 3/4*r**5 - 3/2*r**q + 3/4 - 9/4*r**4 + 9/4*r = 0. Calculate r.
-1, 1
Suppose z = 6*z. Suppose -7*r - 6 = -20. Suppose 0 + 0*h**3 + 1/3*h**4 + z*h - 1/3*h**r = 0. What is h?
-1, 0, 1
Determine f so that -2/3*f - 4/9*f**2 + 0 = 0.
-3/2, 0
Factor 2*k**4 + 4/3*k**3 - 2*k + 2/3*k**5 - 2/3 - 4/3*k**2.
2*(k - 1)*(k + 1)**4/3
Suppose 59*y + 8 - 51*y + 4 - y**2 - 3*y**2 = 0. Calculate y.
-1, 3
Let z be 1 + -1 + -2 + 2. Suppose -6*q + 2*q + 12 = z. Factor 3/2*i - 1/4*i**2 - 6*i**q - 1/4 - 4*i**4.
-(i + 1)**2*(4*i - 1)**2/4
Let -9*w - 5*w**2 - 3*w**2 + 5*w**2 + 3*w = 0. What is w?
-2, 0
Let r = -34199/120 + 285. Let t(c) be the third derivative of -2*c**2 + 0*c**3 + 0 + 0*c - 1/300*c**5 + 1/1050*c**7 + 1/600*c**6 - r*c**4. Factor t(p).
p*(p - 1)*(p + 1)**2/5
Let f(a) be the second derivative of 1/20*a**5 - 2*a + 0 + 0*a**4 - 1/6*a**3 + 0*a**2. Factor f(s).
s*(s - 1)*(s + 1)
Suppose 2/7*j**4 + 0 + 96/7*j**2 + 24/7*j**3 + 128/7*j = 0. What is j?
-4, 0
Let g(r) = 2*r**4 - 16*r**3 + 44*r**2 - 48*r + 21. Let w(m) = 4*m**4 - 32*m**3 + 88*m**2 - 96*m + 43. Let k(t) = -7*g(t) + 3*w(t). Factor k(q).
-2*(q - 3)**2*(q - 1)**2
Let i = -17 - -19. Suppose i*g = 6*g. Let -1/3*l + g - 1/3*l**2 = 0. Calculate l.
-1, 0
Let x(q) be the third derivative of 0 + 1/45*q**5 + 0*q + 1/210*q**7 - 3*q**2 + 5/1008*q**8 + 0*q**4 + 0*q**3 - 1/30*q**6. Find b such that x(b) = 0.
-2, 0, 2/5, 1
Let h = -51 - -7. Let u be (33/h)/((-30)/16). Factor 0 - u*s + 6/5*s**2 - 6/5*s**3 + 2/5*s**4.
2*s*(s - 1)**3/5
Find v, given that -6*v**4 + 2*v**2 + 4*v**3 - 6*v + 2*v**5 + 60 + 2*v**2 - 58 = 0.
-1, 1
Let k = 4 - -1. Suppose -4*n - k*l + 10 = n, -4 = -5*n - 2*l. Factor n + 0*o + 2/7*o**2.
2*o**2/7
Let i(z) be the second derivative of 3*z**5/80 - z**3/8 + z. Suppose i(o) = 0. Calculate o.
-1, 0, 1
Let f(m) be the first derivative of -1/4*m**4 + 3/2*m**2 + 2*m + 0*m**3 + 3. Factor f(g).
-(g - 2)*(g + 1)**2
Let j(b) be the first derivative of -b**8/1680 - b**7/210 - b**6/60 - b**5/30 - b**4/24 - b**3/3 + 1. Let a(q) be the third derivative of j(q). Factor a(t).
-(t + 1)**4
Let j(s) be the second derivative of s**6/40 - s**4/16 + s. Solve j(x) = 0 for x.
-1, 0, 1
Let t(i) be the first derivative of 8*i**7/21 + 6*i**6/5 + 6*i**5/5 + i**4/3 - 9*i - 5. Let f(c) be the first derivative of t(c). Let f(q) = 0. What is q?
-1, -1/4, 0
Solve -3*k**2 - 1/2 + 7/2*k**4 - 3/2*k**5 - k**3 + 5/2*k = 0.
-1, 1/3, 1
Let i be 0 + (-66)/(-15) + -4. Let l(f) be the second derivative of 1/3*f**3 + 0 - 1/2*f**4 - i*f**5 - f + 0*f**2. Let l(k) = 0. What is k?
-1, 0, 1/4