.
-1, 0, 1
Let z = 154 + -152. Suppose 5*g - 2*p - 3*p = 15, -3*p = -z*g + 6. Factor 0 + 2/11*i**4 + 2/11*i**g - 2/11*i**5 - 2/11*i**2 + 0*i.
-2*i**2*(i - 1)**2*(i + 1)/11
Let m(t) = 9*t - 20. Let c(p) = -5*p + 9. Let q(w) = -5*c(w) - 2*m(w). Let d be q(1). Find r such that 2/5*r - 1/5*r**d + 3/5 = 0.
-1, 3
Let z(r) be the second derivative of -r**7/560 - r**6/60 - r**5/16 - r**4/8 - 5*r**3/2 + 7*r. Let o(l) be the second derivative of z(l). Factor o(h).
-3*(h + 1)**2*(h + 2)/2
Suppose -1/4*n**4 + 7/4*n**2 - 1/2*n**3 - 3 + 2*n = 0. What is n?
-3, -2, 1, 2
Let k be 5 + (4 - (-16)/(-4)). Suppose 4*y = 20, 2*s = k*s - y - 7. Factor 0 - 1/4*z + 1/4*z**2 + 1/4*z**3 - 1/4*z**s.
-z*(z - 1)**2*(z + 1)/4
Let h(l) be the second derivative of l**10/75600 - l**8/3360 + l**6/450 - 17*l**4/12 - 17*l. Let n(w) be the third derivative of h(w). Let n(q) = 0. What is q?
-2, -1, 0, 1, 2
Factor 50*n - 576*n**5 + 581*n**5 - 15*n**3 - 6*n**4 - 7*n**4 + 15*n**2 + 50*n**2 - 12*n**4.
5*n*(n - 5)*(n - 2)*(n + 1)**2
Let d(t) be the second derivative of t**6/180 - t**5/60 - 7*t**4/72 - t**3/9 - 15*t - 17. Factor d(g).
g*(g - 4)*(g + 1)**2/6
Let z(v) = v**3 - 2*v**2 + 4*v - 6. Let i be z(2). Factor 0*c + 0*c**i + 8/7*c**4 + 4/7*c**5 + 0*c**3 + 0.
4*c**4*(c + 2)/7
Let z(i) be the first derivative of 0*i - 2/45*i**5 + 1/9*i**2 - 23 - 1/6*i**4 + 2/27*i**6 + 2/27*i**3. Find f such that z(f) = 0.
-1, -1/2, 0, 1
Let w(j) = -8*j - 1. Let s(l) = 2*l**2 + 306*l + 154. Let v(a) = 2*s(a) + 60*w(a). Factor v(p).
4*(p + 2)*(p + 31)
Let c(w) = -w**4 + 2*w**3 + 4*w**2 - 5. Let x(z) = 3*z**3 + 3*z**2 - 6. Suppose 2*j - 5*j = -9. Let t(m) = j*c(m) - 2*x(m). Factor t(g).
-3*(g - 1)**2*(g + 1)**2
Suppose -24*q - 14 = -14. Let m(w) be the first derivative of w**3 + q*w**2 + 0*w + 3/4*w**4 + 7. Solve m(r) = 0 for r.
-1, 0
Let z = -20 + 14. Let b be ((-10)/z + -1)*(-9)/(-2). Factor 4 - 1/4*g**4 - g**b + 4*g + 0*g**2.
-(g - 2)*(g + 2)**3/4
Let y(b) = 63*b - 3*b**2 - 64 - 42*b**2 + 9 + 112*b. Let x(p) = -68*p**2 + 262*p - 83. Let k(j) = -5*x(j) + 7*y(j). Factor k(t).
5*(t - 3)*(5*t - 2)
Let y(o) be the second derivative of -15/16*o**4 + 0 + 29/16*o**3 - 60*o + 21/160*o**5 - 9/8*o**2. Factor y(h).
3*(h - 3)*(h - 1)*(7*h - 2)/8
Let b = -38 + 40. Factor 0*n**3 - n**2 - 3*n**2 + 2*n**3 + b*n**3.
4*n**2*(n - 1)
Let z = 774 + -772. Let o(n) be the first derivative of 6*n - 2*n**2 - 2/3*n**3 - z. Solve o(k) = 0 for k.
-3, 1
Suppose -7/3*a**3 - 8/3*a**2 - a**4 - 3/2*a - 1/6*a**5 - 1/3 = 0. Calculate a.
-2, -1
Let n(t) be the second derivative of t**6/90 - t**5/4 + 13*t**4/12 - 37*t**3/18 + 2*t**2 + t + 32. Suppose n(g) = 0. Calculate g.
1, 12
Let -8*b - b**3 + 12*b**2 - 4 + 7*b**2 - 24*b**2 = 0. What is b?
-2, -1
Let p be (3 - (-3 - -5)) + 1. Suppose u = p*u - 3. Factor 19*w**5 + 3*w**2 - 3*w**4 - 7*w**5 - 3*w**u - 9*w**5.
3*w**2*(w - 1)**2*(w + 1)
Let m be 16/12*6/2. Suppose s = m*h, s = 6*s - 5*h. Find r such that -7*r**4 + 0*r**5 + 3*r**4 + s*r**3 + 2*r**5 + 2*r**3 = 0.
0, 1
Let q(s) = 2*s**2 + 2*s. Let u(o) = -o**3 + 21*o**2 - 48*o + 80. Let w(n) = 4*q(n) - u(n). What is a in w(a) = 0?
4, 5
Solve 102*r**2 - 39*r - 3*r**5 - 78*r**3 + 15 + 27*r**4 + 20*r - 44*r = 0 for r.
1, 5
Determine m so that -310*m**4 - 6*m + 16*m**2 - 12 + 6*m**3 + 3 + 307*m**4 - 4*m**2 = 0.
-1, 1, 3
Let z = 2 - -1. Suppose -14*b - 54 = -54. Factor 0*l + 2/3*l**z - 4/3*l**2 + b + 2/3*l**4.
2*l**2*(l - 1)*(l + 2)/3
Let o(n) = 3*n**3 - 24*n**2 + 22*n - 5. Let f be o(7). Let j(p) be the first derivative of 1/12*p**3 + p - 1/2*p**f - 4. Let j(u) = 0. What is u?
2
Let x(w) be the second derivative of 0 - 27*w - w**4 - 11/3*w**3 - 6*w**2 - 1/10*w**5. Factor x(o).
-2*(o + 1)*(o + 2)*(o + 3)
Factor 117*v**3 - 5445*v**5 + 430*v**3 + 20*v**2 + 93*v**3 + 1855*v**4 + 2930*v**4.
-5*v**2*(v - 1)*(33*v + 2)**2
Suppose 2*y + 20 = -3*y, -2*y = 2*p - 2. What is b in 2*b**4 - p*b + b**2 + 3*b**3 - 4*b**2 + b**4 + 2*b = 0?
-1, 0, 1
Let 8/15*g**2 + 36/5 - 434/15*g = 0. Calculate g.
1/4, 54
Let v = 16038 - 16038. What is g in 1/3*g**3 + v*g + 0*g**2 + 0 = 0?
0
Let s(z) be the third derivative of 0*z + 0*z**4 - 2*z**2 + 0*z**3 + 1/1365*z**7 - 2/195*z**5 + 0 + 0*z**6. Factor s(w).
2*w**2*(w - 2)*(w + 2)/13
Let o = 413 + -411. Let b = 2796/11 + -254. Factor -36/11*n**3 - b*n**5 - 14/11*n**4 + 0 - 16/11*n - 40/11*n**o.
-2*n*(n + 1)*(n + 2)**3/11
Factor 218*i + 22*i**2 - 13 + 68*i + 62*i - 51.
2*(i + 16)*(11*i - 2)
Let f(b) be the first derivative of b**6/180 - b**5/15 + b**4/3 - 13*b**3/3 - 27. Let r(d) be the third derivative of f(d). Factor r(p).
2*(p - 2)**2
Let f(l) be the first derivative of -l**6/96 - l**5/48 + 5*l**4/96 + 5*l**3/24 - 4*l**2 - 10. Let w(h) be the second derivative of f(h). Factor w(i).
-5*(i - 1)*(i + 1)**2/4
Let g(y) be the second derivative of -y**10/105840 + y**8/11760 - y**6/2520 + y**4/4 - 11*y. Let a(b) be the third derivative of g(b). Factor a(k).
-2*k*(k - 1)**2*(k + 1)**2/7
Factor 6/7*c**2 + 156/7*c - 162/7.
6*(c - 1)*(c + 27)/7
Let n(o) = -2*o + 15. Let j be n(6). Factor -j + 3 + 4*g**2 - 30*g + 22*g.
4*g*(g - 2)
Let m be 6 + -6 + 2/2. Let n(s) be the first derivative of 5/6*s**3 - m - 1/4*s**2 - 1/2*s - 3/8*s**4. Let n(a) = 0. Calculate a.
-1/3, 1
Let y be 580*-1*4/(-8). Solve 8*z - 281 + 12*z**2 - 47*z + y = 0 for z.
1/4, 3
Let q(m) = m**2 + 1. Let j(u) = 12*u**2 - 12*u - 4. Let n(b) = -j(b) + 10*q(b). Factor n(g).
-2*(g - 7)*(g + 1)
Suppose -c = -2, -4*v + 55 = -v + 5*c. Suppose 5*y = -4*i + i + 15, -y + v = 3*i. Solve y*b + 0 - 3/2*b**3 - b**2 = 0 for b.
-2/3, 0
Suppose -20*u + 2*u**3 + 26*u**2 + 24*u**2 - 30*u**2 - 5*u**4 + 3*u**3 = 0. What is u?
-2, 0, 1, 2
Let z be (-4)/14 - 450/(-105). Determine l, given that -32 + z*l**4 + 216*l**2 - 8 + 243 + 48*l**3 + 121 + 432*l = 0.
-3
Let i = -119 + 346. Let h = i - 225. Factor 1/2*r**h + 1/4*r**3 + 0 + 1/4*r.
r*(r + 1)**2/4
Let j = 4 - -1. Factor b**4 - j*b**3 + 0*b + 0*b**4 - 7*b + 8*b**2 + 3*b.
b*(b - 2)**2*(b - 1)
Suppose -15 = -2*m - z, -2*m = 2*m + 5*z - 27. Let d be (5 - 1) + m + -12. Factor d*i**2 + 5*i**3 + 6*i**2 + 0*i**3 - 2*i**3.
3*i**2*(i + 2)
Let a be (-5)/(-4) - (-31895)/(-140). Let k = -226 - a. Solve -k*x**2 + 0*x + 0 + 2/7*x**3 = 0 for x.
0, 2
Factor 20*c - 32/7 + 18/7*c**2.
2*(c + 8)*(9*c - 2)/7
Suppose -2*r + 3*d + 11 = 0, 3*r + 88 = 3*d + 103. Let s(p) be the third derivative of 0 + 1/90*p**5 + 0*p + 1/12*p**r + 2/9*p**3 + 8*p**2. Factor s(n).
2*(n + 1)*(n + 2)/3
Let o(s) be the third derivative of -26*s**2 + 1/540*s**5 + 0*s + 0 - 5/54*s**3 - 1/54*s**4. Factor o(g).
(g - 5)*(g + 1)/9
Suppose 342 - 105 = 113*q - 102. Factor -3/7*v**q + 6/7 + 12/7*v**2 - 15/7*v.
-3*(v - 2)*(v - 1)**2/7
Let d(g) = -g + 1. Let x be d(-7). Suppose 0*t - 5*t = -5*c - 15, c - 2*t = -x. What is z in -3*z**c - z**4 + z**3 + 0*z**2 + 3*z**2 = 0?
0, 1
Suppose -4*j**2 + 16*j - 35 - 17 + 34*j + 6*j**2 = 0. Calculate j.
-26, 1
Let x(z) be the third derivative of -841*z**8/224 - 377*z**7/20 - 575*z**6/16 - 1201*z**5/40 - 8*z**4 - z**3 + 173*z**2 + 2*z. Suppose x(k) = 0. Calculate k.
-1, -2/29
Let d(c) = -3*c**3 + 3*c**2 + 2*c + 3. Let q be d(-2). Let t = q - 307/9. What is j in 0 + t*j**3 + 2/9*j + 10/9*j**2 = 0?
-1, -1/4, 0
Let 10 + 2/7*o**2 - 24/7*o = 0. What is o?
5, 7
Let l(w) be the third derivative of w**7/735 + 11*w**6/315 + 29*w**5/105 + w**4/3 - 7*w**3/9 + 56*w**2. Find k such that l(k) = 0.
-7, -1, 1/3
Suppose -5*s - 12 + 37 = 0. Find a such that -8 - 67*a**3 + 8*a**2 + 15*a**3 + 36*a**3 + 12*a + 4*a**s = 0.
-2, -1, 1
Suppose 5571*u = 5548*u + 230. Let -5/2*k**5 - 20*k**2 + 0 + u*k + 5*k**4 + 15/2*k**3 = 0. Calculate k.
-2, 0, 1, 2
Let u(f) be the third derivative of f**6/360 + 31*f**5/180 + 35*f**4/9 + 98*f**3/3 - 12*f**2 - 5*f. Factor u(s).
(s + 3)*(s + 14)**2/3
Factor 306*b + 150*b + 16 + 24 - 184*b**2 + 118*b**3 - 24 - 284*b**2.
2*(b - 2)**2*(59*b + 2)
Suppose 89 - 75 = 2*o. Let y(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v + 1/510*v**5 - 1/1785*v**o + 0 - 7*v**2 + 0*v**6. Let y(s) = 0. Calculate s.
-1, 0, 1
Let r(a) be the third derivative of -a**5/300 - 7*a**4/40 + 53*a**2. Factor r(v).
-v*(v + 21)/5
Factor 14/3 - 86/9*n - 2/9*n**3 + 46/9*n**2.
-2*(n - 21)*(n - 1)**2/9
Let c = 34 + -31. Factor 4*v + 2 - v + v**c + 0*v**3 + 4*v**2 + 2*v.
(v + 1)**2*(v + 2)
