r(o).
-2*o*(o + 1)**2*(4*o + 1)/9
Let v be ((-45)/6)/((-4)/16). Let m be (-15)/v*(-4)/6. Suppose -m*p**3 + 2/3*p**2 + 0 + 0*p = 0. Calculate p.
0, 2
Let q = -8 - -8. Suppose 4*f + 4 = -k - 1, q = -3*f - 6. Factor 6*a + k*a**2 - 6 - 6 + 9 - 6.
3*(a - 1)*(a + 3)
Let x = -2/799 + -7884/42347. Let i = x - -282/371. Factor 38/7*t**4 - 2*t**5 + 0 + 2/7*t**2 - 30/7*t**3 + i*t.
-2*t*(t - 1)**3*(7*t + 2)/7
Suppose -2*a - 4*d = -9*d - 22, -5*a + 32 = -d. What is r in a*r + 2 - 15 + 4*r**2 - 2*r**3 + 13 = 0?
-1, 0, 3
Let z(k) be the first derivative of -k**8/2520 + k**6/270 - k**4/36 - 2*k**3 + 7. Let x(y) be the third derivative of z(y). Let x(l) = 0. Calculate l.
-1, 1
Let w = -78091/5 + 15619. Find o, given that 8/5 + 12/5*o + w*o**2 = 0.
-2, -1
Solve 34*f**2 + 42*f**2 + 392 + 42*f**2 - 1380*f - 148*f**2 + 58*f**2 = 0 for f.
2/7, 49
Let b(s) be the third derivative of s**5/12 + 25*s**4/8 - 114*s**2 - 2*s. Suppose b(f) = 0. Calculate f.
-15, 0
Let l be 5 + 18/(-45) + 0. Let -l*o - o**2 + 2 = 0. What is o?
-5, 2/5
Factor -32*d - 4*d**3 + 20 + 1/4*d**4 + 18*d**2.
(d - 10)*(d - 2)**3/4
Let z = 5383 + -5380. Suppose 9/2*p**3 + 3/2*p**4 - 9/2*p - z + 3/2*p**2 = 0. What is p?
-2, -1, 1
Let r(l) be the second derivative of 2/21*l**4 + 4/21*l**3 + 0 - 3*l**2 + 5*l - 1/10*l**5. Let m(k) be the first derivative of r(k). Factor m(h).
-2*(3*h - 2)*(7*h + 2)/7
Let t be 6*(-2)/(-12)*3. Suppose s = -t*s + 12. What is q in 2*q**3 - s + q**3 - 3*q - 3*q**2 + 6*q**2 = 0?
-1, 1
Let t be (117/(-52))/(25/20 - 2). Let y(b) be the first derivative of 5/2*b**2 - 5 + 1/5*b**5 - 1/4*b**4 - b**t - 2*b. Suppose y(o) = 0. What is o?
-2, 1
Let s = 2541 + -7529/3. Let q = -646/21 + s. Suppose -12/7*n**3 - 4*n**2 - q - 20/7*n = 0. What is n?
-1, -1/3
Let d(l) be the third derivative of l**7/1365 - l**6/195 + l**5/130 + 2*l**2 + 32*l. Factor d(s).
2*s**2*(s - 3)*(s - 1)/13
Let h(f) be the second derivative of f**5/4 - 5*f**4/3 - 5*f**3/2 + 45*f**2 + 15*f. Factor h(o).
5*(o - 3)**2*(o + 2)
Let o be (6/(-20))/(252/(-60)). Let u(b) be the first derivative of -8 + 0*b - o*b**4 + 2/21*b**3 + 0*b**2. Factor u(v).
-2*v**2*(v - 1)/7
What is i in -6*i - 514*i**2 + 550*i**2 - 4 - 12*i**4 - 12*i - 2*i**3 = 0?
-2, -1/6, 1
Let j(a) be the third derivative of 0*a - 21*a**2 + 0 + 5/36*a**3 + 7/360*a**5 + 11/144*a**4 + 1/720*a**6. Factor j(v).
(v + 1)**2*(v + 5)/6
Factor 9/5*g**2 - 12/5 - 6/5*g**3 + 12/5*g - 3/5*g**4.
-3*(g - 1)**2*(g + 2)**2/5
Let c(k) be the first derivative of -k**4/6 + k**3/6 + k**2/12 + 63. Factor c(p).
-p*(p - 1)*(4*p + 1)/6
Let x = 2943/5 + -11747/20. Factor -1/8*z**2 - x*z - 25/8.
-(z + 5)**2/8
Let t(m) be the first derivative of m**5/150 - m**4/10 + 8*m**3/15 - 13*m**2/2 - 38. Let u(s) be the second derivative of t(s). Suppose u(c) = 0. Calculate c.
2, 4
Let o = 6439/11 + -585. Factor -o*n + 0 + 2*n**2.
2*n*(11*n - 2)/11
Let n(c) = c**2 + c. Let w = 8 - 1. Let p be (-3)/3 + w/(-1). Let f(y) = -2*y**3 - 8*y**2 - 6*y. Let j(v) = p*n(v) - f(v). Factor j(q).
2*q*(q - 1)*(q + 1)
Suppose -3*h = -3 + 9. Let w be h/(-24)*38 - (0 + 3). Solve -w*v**4 + 0 + 1/6*v**2 + 1/3*v**3 - 1/3*v = 0.
-1, 0, 1, 2
Let k(t) = 2*t**2 - 2 + 0*t + 2*t**4 - t - 3*t**2 + t**3 + 4*t**2. Let y(a) = -2*a**4 - 2*a**3 - 2*a**2 + 2*a + 2. Let p(z) = -2*k(z) - 3*y(z). Factor p(v).
2*(v - 1)*(v + 1)**3
Let o = -30 + 32. Suppose -o*d**2 + 250*d**5 - 255*d**5 + 2*d**2 + 5*d**3 = 0. What is d?
-1, 0, 1
Let r(a) = 5 + 2*a - 2*a + 2*a - a**2 + 1. Let v(h) = -4 + 3 + 5 - 5. Let q(b) = r(b) + 6*v(b). Determine m, given that q(m) = 0.
0, 2
Let p(s) = 6*s**2 + 492*s + 28326. Let f(y) = -7*y**2 - 496*y - 28327. Let l(b) = 4*f(b) + 5*p(b). Find q, given that l(q) = 0.
-119
Let r(i) = 2*i**5 + 18*i**4 - 24*i**3 + 10*i**2 - 3*i. Let o(k) = k**5 + k**4 + k**3 - k**2 - k. Let y(z) = 6*o(z) - 2*r(z). Factor y(c).
2*c**2*(c - 13)*(c - 1)**2
Factor 34/9*x**2 + 0 - 14/9*x**3 - 4/3*x.
-2*x*(x - 2)*(7*x - 3)/9
Let b = -88 - -91. Let v(l) be the third derivative of 6*l**2 + 1/70*l**5 + 0*l + 1/21*l**b + 1/420*l**6 + 0 + 1/28*l**4. Factor v(s).
2*(s + 1)**3/7
Let s = 11 - 9. Factor 7*t**3 - 5*t + t**5 + 6*t**3 + 5 - 3*t**3 - 6*t**5 - 10*t**s + 5*t**4.
-5*(t - 1)**3*(t + 1)**2
Let x(r) be the third derivative of r**6/120 + r**5/6 + 4*r**4/3 + 16*r**3/3 - 20*r**2 - 14. Suppose x(d) = 0. Calculate d.
-4, -2
Suppose 0 = p - 2*m - 9, -2*p - 3*p + 27 = -4*m. Factor 39*t**2 - 6*t - 24*t**3 - 7*t**p - 2*t**3.
-3*t*(t - 1)*(11*t - 2)
Factor 4/3 + 23/9*o**2 - 28/9*o + 1/9*o**4 - 8/9*o**3.
(o - 3)*(o - 2)**2*(o - 1)/9
Let v(l) be the second derivative of l**4/6 + l**3 + 4*l - 1. Suppose v(p) = 0. Calculate p.
-3, 0
Let l(b) be the first derivative of b**7/42 + b**6/12 - b**5/4 - 5*b**4/6 + 10*b**3/3 - b**2 + 10. Let u(m) be the second derivative of l(m). Factor u(k).
5*(k - 1)**2*(k + 2)**2
Let b(q) = -3*q - 4*q**2 + 3*q**2 + 5*q + 2. Let h(o) = -4662*o**2 - 3*o + 4665*o**2 - 2 - 1. Let x(n) = 15*b(n) + 6*h(n). What is k in x(k) = 0?
-2
Let n(x) = 5*x**2 - 123*x - 1689. Let c(q) = 2*q**2 - 61*q - 844. Let f(r) = 7*c(r) - 3*n(r). Let f(a) = 0. What is a?
-29
Suppose 71 = 4*h - g, 0 = 2*h - h + g - 14. Let p = h - 13. Find o such that -3*o**p - 6 + 2 + 0*o**2 + 10*o**2 - 3*o**2 - o**5 + o**3 = 0.
-2, -1, 1
Let q(l) = -2*l - 14. Suppose -4*b + 3*u - 13 = -3*b, 53 = -5*b + 3*u. Let s be q(b). Factor 29*p**2 - 21*p**2 - 2 - 2 - s*p**3 + 2*p.
-2*(p - 1)**2*(3*p + 2)
Let i(x) be the first derivative of 4*x**5/15 - 148*x**4/3 + 10952*x**3/3 - 405224*x**2/3 + 7496644*x/3 - 27. Factor i(j).
4*(j - 37)**4/3
Factor -3687*w**3 + 0*w**4 - 153228*w**2 + 5043*w**3 + 5771588*w - 4*w**4.
-4*w*(w - 113)**3
Let z(x) be the first derivative of -2*x**5/45 + 4*x**4/9 - 2*x**3/3 - 2*x**2 - 399. Factor z(s).
-2*s*(s - 6)*(s - 3)*(s + 1)/9
Let i(s) = 10*s - 6*s + 6 + 3*s**2 - 7*s. Let k(w) = 3*w**2 - 4*w + 6. Let x(b) = -5*i(b) + 6*k(b). Solve x(d) = 0 for d.
1, 2
Let o(s) = -3*s**5 + 27*s**4 - 72*s**3 + 96*s**2 - 63*s + 15. Let z(g) = -g**3 + g**2. Let t(i) = -o(i) - 6*z(i). Factor t(p).
3*(p - 5)*(p - 1)**4
Factor -16*p + 116 + 3*p**2 - 3*p**2 + 20*p**3 - 84 - 24*p**2 - 4*p**4.
-4*(p - 2)**3*(p + 1)
Let w(k) be the third derivative of 4*k**7/945 + k**6/180 - 7*k**5/90 + 17*k**4/108 - k**3/9 - 2*k**2 - 2*k. Suppose w(l) = 0. Calculate l.
-3, 1/4, 1
Let p(z) be the third derivative of 0 + 4/33*z**4 + 64/33*z**3 + 0*z + 1/330*z**5 - 23*z**2. Factor p(a).
2*(a + 8)**2/11
Factor -8/3*m**2 + 0 + 3*m**3 - 1/3*m**4 + 0*m.
-m**2*(m - 8)*(m - 1)/3
Let r(x) be the third derivative of -x**8/6720 + x**7/840 - x**6/240 + 7*x**5/30 + x**2. Let b(v) be the third derivative of r(v). Solve b(n) = 0 for n.
1
Let -176/5*q**2 + 96/5*q + 2/5*q**5 + 0 - 24/5*q**4 + 102/5*q**3 = 0. What is q?
0, 1, 3, 4
Suppose -1/2*l**2 - 7*l + 0 = 0. Calculate l.
-14, 0
Let f(v) be the second derivative of -v**5/70 + v**4/42 + 5*v**3/21 + 3*v**2/7 - 22*v. What is l in f(l) = 0?
-1, 3
Let q = 10920 - 10866. Factor 0 + 3/2*n**4 + q*n**2 + 18*n**3 + 0*n.
3*n**2*(n + 6)**2/2
Suppose 0 = 53*g - 55*g + 4. Determine v so that -10 - 150*v**g - 80*v**4 - 11*v - 38*v - 16*v - 15*v**5 - 160*v**3 = 0.
-2, -1, -1/3
Suppose -2*p + 45 + 57 = 2*k, -51 = -p - 3*k. Let g = -51 + p. Solve 3/4*u**3 + 0*u - 1/4*u**4 + g - 1/2*u**2 = 0.
0, 1, 2
Let x be 3/(-3) + (39 - 3) + 3. Find f, given that -f + 36*f**2 - x*f**2 + 5*f = 0.
0, 2
Let p(v) = -267*v**3 - 306*v**2 - 93*v - 8. Let k(b) = -802*b**3 - 918*b**2 - 280*b - 24. Let f(o) = 3*k(o) - 8*p(o). What is u in f(u) = 0?
-2/3, -1/3, -2/15
Let a(x) be the second derivative of x**5/240 - x**4/24 + x**3/6 - 4*x**2 + 13*x. Let p(j) be the first derivative of a(j). Factor p(k).
(k - 2)**2/4
Suppose 62148*z + 8774*z + 0*z**3 + 10*z**3 - 17882*z - 5*z**3 + 1025*z**2 + 52020 = 0. What is z?
-102, -1
Let s(o) be the first derivative of o**6/18 - o**4/4 + 2*o**3/9 + 116. Factor s(b).
b**2*(b - 1)**2*(b + 2)/3
Let w = 6 + -10. Let v be ((-6)/(-5))/(w/(-370)). Suppose v*s - 111*s - s**3 = 0. Calculate s.
0
Let d be (-2)/7 - ((-2050)/35)/2. Factor -4*u**4 - 16*u**3 + u**5 + d*u**2 - 8*u**2 + 3*u**5 - 5*u**2.
4*u**2*(u - 2)*(u - 1)*(u + 2)
Let t = 45 + -43. Let j(z) = 21*z**4 - 22*z**3 - 34*z**2 + 22*z - 1. Let g(y) = 7*y**4 - 7*y**3 - 11*y**2 + 7*y. Let d(h) = t*j(h) - 7*g(h). Factor d(m