*k**2 + 0*k**4 + 45*k**3 - 3*k**4 - 2*k**3 = 0?
0, 1, 11
Let j = -9843/5 - -1971. Factor j*o - 18/5 - 2/5*o**2.
-2*(o - 3)**2/5
Let n(r) be the third derivative of 0*r + 30*r**2 + 4/75*r**6 - 1/120*r**8 + 0*r**4 + 0 - 1/105*r**7 - 2/75*r**5 + 0*r**3. Find k, given that n(k) = 0.
-2, 0, 2/7, 1
Let r(h) = 5*h**2 + 4*h - 1. Let p be r(-1). Let c(b) be the second derivative of p - 2/9*b**3 - b**2 - 1/54*b**4 + 3*b. Factor c(f).
-2*(f + 3)**2/9
Let k(i) = -5*i**4 + 5*i**3 + 5*i + 5. Let p(m) = 5*m**4 - 4*m**3 - m**2 - 4*m - 4. Let d(u) = -4*k(u) - 5*p(u). Factor d(h).
-5*h**2*(h - 1)*(h + 1)
Factor -60/7*m + 2/7*m**2 - 62/7.
2*(m - 31)*(m + 1)/7
Factor 1/4*b**2 - 8*b + 0.
b*(b - 32)/4
Let f be (-2)/(-6) - 1/3. Let c be -2 + (600/52)/3 + (-182)/(-1183). Factor -1/5*r**c - 3/5*r + f.
-r*(r + 3)/5
Let c(r) be the first derivative of 0*r**2 - 8 - 1/6*r**3 + 0*r - 11/16*r**4. Factor c(n).
-n**2*(11*n + 2)/4
Let c = -1408 + 1411. Factor 8/5*m**2 + 2/5*m + 0 + 2*m**c + 4/5*m**4.
2*m*(m + 1)**2*(2*m + 1)/5
Let o = -2248/5 - -450. Let x(q) be the first derivative of 1/5*q**2 - 4/5*q + o*q**3 - 5. Let x(a) = 0. Calculate a.
-1, 2/3
Let j(m) be the third derivative of -m**7/945 + m**6/45 - 13*m**5/135 - m**4/9 + m**3 - 9*m**2 + 3*m. What is x in j(x) = 0?
-1, 1, 3, 9
Let w(z) be the first derivative of -z**5/4 - 13*z**4/8 + 3*z**3 - 9*z**2 - 20. Let j(q) be the second derivative of w(q). Factor j(v).
-3*(v + 3)*(5*v - 2)
Let h = -11 - -12. Let g be h/(-3) - 38/(-6). Determine k so that g*k**2 + 3*k**3 - 2*k**4 + 191 - k**4 - 191 = 0.
-1, 0, 2
Let f = -41 + 46. Factor 5*m**f - 2*m**4 + 10*m**2 + 2*m**4 - 3*m**3 - 12*m**3.
5*m**2*(m - 1)**2*(m + 2)
Let s(p) be the first derivative of 22 + 0*p**2 + 2/27*p**3 - 8/9*p. Factor s(r).
2*(r - 2)*(r + 2)/9
Let y = 28609/19070 + -2/9535. Solve 3/2*s + y*s**2 + 0 = 0 for s.
-1, 0
Let u = 261 + -259. Let y(k) be the third derivative of -5*k**u + 1/6*k**3 - 3/16*k**4 + 0 + 0*k - 11/120*k**5. Determine s, given that y(s) = 0.
-1, 2/11
Determine o so that -2/13*o**4 - 4/13*o**2 + 0 + 6/13*o**3 + 0*o = 0.
0, 1, 2
Let p(x) be the third derivative of x**6/3420 - x**4/228 - 4*x**3/3 - 6*x**2. Let w(r) be the first derivative of p(r). What is i in w(i) = 0?
-1, 1
Suppose -2 + 0 = -n. Suppose -4*x + 14 = -2*c, -4*c + 6*c + 18 = 5*x. Let x - n + 8*r**3 - r**3 - 2*r**2 - 6*r - r**3 = 0. Calculate r.
-1, 1/3, 1
Let d(w) be the first derivative of -w**4/28 + 13*w**3/21 - 5*w**2/7 - 24*w/7 - 182. Suppose d(a) = 0. What is a?
-1, 2, 12
Suppose -a + 13 = -3*j, 0*j = 2*j + 3*a + 5. Let m be 15/(-6) + (-3)/(3/j). Determine y, given that 3/2*y + 0 - m*y**2 = 0.
0, 1
Let w be ((-4 - 26)/5)/(-2*1). Suppose -4*z**w + 4*z**3 - z**4 + 159*z**5 - 156*z**5 = 0. Calculate z.
0, 1/3
Let p be (-84)/(((-6)/(-4))/1*-1). What is y in -21*y - 39*y**2 - p*y + 84*y**3 - 7 + 38*y + 1 = 0?
-2/7, -1/4, 1
Factor 20840 + 4*d**2 - 6*d - 20936 - 14*d.
4*(d - 8)*(d + 3)
Let o(n) = n**5 + n**4 + n + 1. Let l(k) = 18*k**5 - 170*k**4 + 332*k**3 - 156*k**2 - 42*k - 6. Let f(h) = l(h) + 6*o(h). Find v such that f(v) = 0.
-1/6, 0, 1, 3
Let m(a) be the third derivative of -1/420*a**6 + a**2 + 0*a**4 + 0*a**3 - 1 - 1/70*a**5 + 0*a. Let m(v) = 0. Calculate v.
-3, 0
Suppose 33 = 4*y + 3*d, -32*y + 36*y = 2*d - 2. Factor 0 - 2/5*a**y + 0*a + 2/5*a**2.
-2*a**2*(a - 1)/5
Let m(s) be the second derivative of -41*s + 1/6*s**4 + 0 - 3*s**2 - 2/3*s**3. Find t such that m(t) = 0.
-1, 3
Factor -1/2*v + 0 + 1/8*v**2.
v*(v - 4)/8
Let y be (3/(-12))/(108/(-1440)). Determine q, given that -5/6*q**2 + 25/6 - y*q = 0.
-5, 1
Let t(x) be the third derivative of -x**6/10 - 7*x**5/20 - x**4/4 + x**3/2 - 131*x**2. Factor t(u).
-3*(u + 1)**2*(4*u - 1)
Let n = -61 + 114. Let t = n - 51. Factor 3/2*a**t + 1/2 + 3/2*a + 1/2*a**3.
(a + 1)**3/2
Let a = 447 - 687. Let i = a + 245. Find m such that 2/7*m**i + 0*m**4 + 0*m**2 - 2/7*m**3 + 0*m + 0 = 0.
-1, 0, 1
Let y(n) be the first derivative of n**6 - 2*n**5 - 19*n**4/2 + 106*n**3/3 - 44*n**2 + 24*n - 94. Solve y(l) = 0 for l.
-3, 2/3, 1, 2
Let s be (-72)/(-70) + -1 - 0/(-47). Let a(f) be the second derivative of s*f**5 + 0*f**2 + 0*f**3 - 1/70*f**6 - 6*f - 1/84*f**4 + 0. What is h in a(h) = 0?
0, 1/3, 1
Suppose -21*o + 0 + 3/2*o**2 = 0. What is o?
0, 14
Let i be (-12)/(-180) + (-11)/(-44)*16/30. Find t such that 1/5 + 0*t**2 - i*t**4 - 2/5*t**3 + 2/5*t = 0.
-1, 1
Let a(m) = -m**2 + 9*m + 31. Let k be a(14). Let l be (-4)/3*k/26. Factor 4/3 + 2/3*n**l + 2*n.
2*(n + 1)*(n + 2)/3
Let 8/7*g - 2/21*g**2 + 8/3 = 0. Calculate g.
-2, 14
Let p = 97 + -99. Let n be p/(-8) - (-34)/8. Factor 1/2*t**4 + 3*t - 3*t**3 + 4*t**2 - n.
(t - 3)**2*(t - 1)*(t + 1)/2
Let a be (3/195)/(140/350). Let q(d) be the first derivative of 2/13*d**3 + 9 - a*d**4 - 2/13*d**2 + 0*d. Find b such that q(b) = 0.
0, 1, 2
Suppose 12*z - 4*z = 112. Suppose -11*d = -8 - z. Solve -12/7*i**3 + 0 - 8/7*i - 20/7*i**d = 0 for i.
-1, -2/3, 0
Let c be 544/112 - (-1)/7. Factor -3/7*g + 2/7*g**2 + 1/7*g**c - 3/7*g**4 + 1/7 + 2/7*g**3.
(g - 1)**4*(g + 1)/7
Let s(y) be the first derivative of y**3/6 + 159*y**2/2 + 25281*y/2 - 305. Determine p, given that s(p) = 0.
-159
Let o be (-16)/(-5) + (-1)/5. Let n(d) be the third derivative of 1/60*d**6 + 0*d + 1/12*d**4 - 1/15*d**5 + 0 + 0*d**o - 3*d**2. Solve n(h) = 0 for h.
0, 1
Suppose -3*a = 0, -4*g + 3*a + 7 = 27. Let i be g/(-3) - 16/48. What is n in n**2 + 4/3*n**3 - 4/3*n - i + 1/3*n**4 = 0?
-2, -1, 1
Let f(t) be the first derivative of t**5/60 - t**3/6 + 17*t**2/2 + 11. Let i(y) be the second derivative of f(y). What is z in i(z) = 0?
-1, 1
Factor 1/3*g**3 + 4*g**2 + 0 + 11/3*g.
g*(g + 1)*(g + 11)/3
Suppose 5*d = -2*s - 29, -d - 3 = -9*s + 8*s. Let y be 4 + -10 + 10 + s. Factor 0*k + 1/3*k**5 + 2/3*k**4 + 0 + 1/3*k**3 + 0*k**y.
k**3*(k + 1)**2/3
Suppose -3*v + 8 = -1. Suppose 9 = -2*p + 5*p. Let 3*q - 16*q + p + 7*q + v*q**2 = 0. What is q?
1
Suppose 0 = 3*i - 9, 4*i = -20*y + 19*y + 12. Let v(q) be the third derivative of -1/3*q**3 + y + 11*q**2 - 1/10*q**5 + 1/4*q**4 + 0*q + 1/60*q**6. Factor v(d).
2*(d - 1)**3
Let i be 24*16/768*2*4. Factor -2/5*q**5 - 4/5*q**3 + 6/5*q - 2/5 - 4/5*q**2 + 6/5*q**i.
-2*(q - 1)**4*(q + 1)/5
Let u(p) = p**5 + 8*p**4 + 18*p**3 + 16*p**2 + 6*p. Let s(r) = -r**4 - r**3 + r**2. Let v(o) = 2*s(o) + 2*u(o). What is k in v(k) = 0?
-3, -2, -1, 0
Suppose -7*r - 8*r + 66*r**3 + 10 - 15*r**2 - 56*r**3 = 0. Calculate r.
-1, 1/2, 2
Let x be (-1)/(-27)*15 - (-8)/(-36). Let d(b) be the third derivative of 0 + 0*b - 1/30*b**5 - x*b**3 + 1/6*b**4 + 2*b**2. Factor d(u).
-2*(u - 1)**2
Let t be (15865/(-836) - -20) + 6/(-22). Suppose -3/4*l**3 - 1/4*l**4 - 1/4*l + 0 - t*l**2 = 0. Calculate l.
-1, 0
Let 162/5 + 2/5*w**2 - 36/5*w = 0. Calculate w.
9
Let w(b) = -b**2 + 248*b + 3849. Let i(f) = -124*f - 1924. Let u(q) = 5*i(q) + 2*w(q). Factor u(o).
-2*(o + 31)**2
What is r in -13*r**2 + 1/2*r**5 + 4*r**4 + 13/2*r**3 - 16 - 32*r = 0?
-4, -1, 2
Suppose 9*h + 6 = 15. Let q(a) = -16*a**2 - 8*a - 12. Let g(f) = f - 1. Let k(u) = h*q(u) - 20*g(u). Factor k(x).
-4*(x + 2)*(4*x - 1)
Let y be 4/(-18) - (-29)/9. Let a = -754 - -758. Factor -a*m**2 - 2*m**5 - 4*m**4 + m**2 - 2*m**y + 3*m**2.
-2*m**3*(m + 1)**2
Let q be (2 - 0) + (-3)/(18018/18708). Let g = 4/143 - q. What is b in g - 4/7*b + 16*b**3 - 116/7*b**2 = 0?
-1/4, 2/7, 1
Let t(w) = -2*w - 18. Let a be t(-12). Let v(z) = -z**3 + 5*z**2 + 8*z - 8. Let f be v(a). Factor -4*g**4 + 4*g + 2 - 18*g**2 - 6*g - f*g**4 - 22*g**3.
-2*(g + 1)**3*(4*g - 1)
Let n(q) be the second derivative of q**6/160 + q**5/120 - q**4/32 - q**3/12 + q**2 + 5*q. Let x(z) be the first derivative of n(z). Factor x(t).
(t - 1)*(t + 1)*(3*t + 2)/4
Let s(w) be the first derivative of -17/2*w**4 + 46/3*w**3 + 7*w + 11/5*w**5 - 29/2*w**2 - 13 - 1/6*w**6. Factor s(g).
-(g - 7)*(g - 1)**4
Let v(p) be the second derivative of -p**4/12 + 41*p**3/18 + 7*p**2/3 + 382*p. Suppose v(y) = 0. What is y?
-1/3, 14
Let t be (-595)/(-1071) - 3/((-567)/138). Let r(u) = -u**3 + 4*u**2 - 3*u + 2. Let d be r(3). Find k, given that -9/7*k - 3/7*k**3 + 3/7 + t*k**d = 0.
1
Let i(r) be the first derivative of r**3/12 - r**2 + 7*r/4 + 78. Let i(a) = 0. Calculate a.
1, 7
Suppose 7*j**2 - 1/2*j**3 + 31/2*j + 8 = 0. What is j?
-1, 16
Find h such that 