actor -2/3*q + k*q**2 + 4/9 + 2/9*q**3.
2*(q - 1)**2*(q + 2)/9
Let v(q) = q**3 + 8*q**2 - 8*q + 13. Let g be v(-9). Solve 5*h**2 - 3*h**g + 3*h**2 + 3*h**3 - 2*h**2 = 0 for h.
-1, 0, 2
Suppose 9 = 3*f + 3*a, 5*f - 13 = 2*f + a. Solve -55*t**4 + 4*t**2 - 57*t**4 + 108*t**f = 0 for t.
-1, 0, 1
Let i(o) = -26*o**2 + 101*o. Let n(r) = 9*r**2 - 34*r. Let b(a) = -4*i(a) - 11*n(a). Factor b(s).
5*s*(s - 6)
Let x(b) = 24*b + 121. Let n be x(-6). Let k be (0 - -1)/(-10 - n/2). Find h such that -2/3*h**3 + 0*h - k*h**2 + 0 = 0.
-1, 0
Let w(c) be the second derivative of -c**4/4 - 10*c**3 - 53*c + 1. Suppose w(r) = 0. Calculate r.
-20, 0
Let d(i) be the second derivative of 5*i**6/6 - 17*i**5/12 - i**4/2 + 2*i**3 - 4*i**2/3 - 37*i. Let d(t) = 0. What is t?
-2/3, 2/5, 1
Let d(n) be the third derivative of 0*n**4 - 1/84*n**8 + 2/105*n**7 + 0 + 0*n**6 + 0*n**5 + 0*n + 0*n**3 + 37*n**2. Determine s so that d(s) = 0.
0, 1
Let q(s) be the third derivative of -s**6/60 + s**5/6 - 7*s**4/12 + s**3 - 3*s**2 + 12*s. Solve q(i) = 0 for i.
1, 3
Let x(y) be the first derivative of y**6/60 + y**5/10 - 4*y**3/3 - 8*y**2 + 7. Let z(t) be the second derivative of x(t). Factor z(c).
2*(c - 1)*(c + 2)**2
Let o(u) = -u - 1. Let s be o(6). Let a be 0 - s - (-3 + 3). Solve -l**3 - 3*l**3 + l**2 - a*l**2 - 6*l**2 = 0 for l.
-3, 0
Let x be 0 + 5 + 95/25*-1. Let n(q) be the first derivative of x*q**3 - 7/10*q**4 - 2/5*q**2 - 4 + 0*q. Solve n(g) = 0.
0, 2/7, 1
Factor 2/5*j**4 + 0 + 24/5*j**2 - 6*j**3 + 56/5*j.
2*j*(j - 14)*(j - 2)*(j + 1)/5
Let l(r) be the second derivative of 3*r**5/20 - 29*r**4/4 - r**3/2 + 87*r**2/2 + 9*r - 45. Factor l(z).
3*(z - 29)*(z - 1)*(z + 1)
Let s be ((60/(-25))/(-6))/(4/(-102)). Let u = s + 52/5. Factor u*q**3 + 2/5 + 0*q**2 - 3/5*q.
(q - 1)**2*(q + 2)/5
Let q(k) = -k + 1. Suppose -2 = -9*u + 7. Let j(s) = 3*s**2 + 3*s - 3. Suppose -9 = -0*c - 3*c. Let l(a) = c*q(a) + u*j(a). Factor l(v).
3*v**2
Let g(a) be the third derivative of -1/175*a**7 + 0 - 1/50*a**5 - 1/20*a**4 + 7/300*a**6 + 2/15*a**3 + 35*a**2 + 0*a. Factor g(v).
-2*(v - 1)**3*(3*v + 2)/5
Factor -1/3*p**4 + 0 - 32/3*p + 12*p**2 - p**3.
-p*(p - 4)*(p - 1)*(p + 8)/3
Let w(h) be the first derivative of 47*h - 3 + 13 - h**3 - 44*h. Suppose w(j) = 0. What is j?
-1, 1
Let u = 11904/7 + -1700. Determine r so that 11/7*r**3 - u*r + 12/7*r**4 - r**5 + 0 - 12/7*r**2 = 0.
-1, -2/7, 0, 1, 2
Let n(j) = -11*j**4 - 25*j**3 - 8*j**2 + 6. Let p(w) = -65*w**4 - 150*w**3 - 50*w**2 + 35. Let s(o) = 35*n(o) - 6*p(o). Factor s(d).
5*d**2*(d + 1)*(d + 4)
Let h(k) be the first derivative of 3*k**5/25 - 3*k**4/5 + 6*k**3/5 - 6*k**2/5 + 3*k/5 - 213. Suppose h(r) = 0. Calculate r.
1
Let g = -73/14 + 11/2. Factor -4/7 + g*z**2 - 2/7*z.
2*(z - 2)*(z + 1)/7
Let l = -11 - -21. Let w be ((-12)/(-9))/(l/18). Find y such that 12/5*y + 3/5*y**2 + w = 0.
-2
Let c(n) be the first derivative of 14*n**6/3 - 27*n**5/5 - 31*n**4/4 + 29*n**3/3 + 3*n**2/2 - 2*n + 44. Find l such that c(l) = 0.
-1, -2/7, 1/4, 1
Let k(j) be the second derivative of 1/12*j**4 - 7/20*j**5 + 4/3*j**3 - 1/42*j**7 + 0 - 13*j - 1/6*j**6 + 2*j**2. Let k(a) = 0. What is a?
-2, -1, 1
Let z be ((-1)/(-2))/(2/12) - 1. Suppose 0 = 3*w + z*w - 10. Let 0 - 2/9*p**w - 2/9*p = 0. Calculate p.
-1, 0
Determine w, given that -2/5*w**2 + 0*w + 1/10*w**5 + 0 + 9/10*w**3 - 3/5*w**4 = 0.
0, 1, 4
Let b(q) = 2*q + 6. Let c be b(-2). Suppose 3*r + c*t = 66, r + 4*t - 19 = 13. Factor -6*v - 9*v + r*v - v**2 - 4*v**2.
-5*v*(v - 1)
Let l(n) = -20*n**3 + 50*n**2 - 18*n - 76. Let v(d) = d**3 - 2*d**2 + 1. Let j(h) = 2*l(h) + 44*v(h). Factor j(t).
4*(t - 3)*(t + 3)**2
Let x be 8/(-6)*(-363)/242. What is q in q**x - 1/3 - 2/3*q = 0?
-1/3, 1
Let x be ((-1)/2)/(14/(-84)). Suppose 0 = -x*b + 3*b + 5*b. What is i in -1/3*i**2 + 1/3*i + b = 0?
0, 1
Factor 20 + 2*a**2 - 20*a + 27 - 15.
2*(a - 8)*(a - 2)
Find b such that -8*b**5 + 3124745 - 3124745 - 30*b + 33*b**4 - 9*b**2 - b**5 + 63*b**3 = 0.
-1, 0, 2/3, 5
Let d(t) = -4*t**2 - 31*t - 6. Let b(u) = -3*u**2 - 32*u - 4. Let x(c) = 3*b(c) - 2*d(c). Let x(w) = 0. Calculate w.
-34, 0
Let t(o) = -8*o**3 - 16*o**2 - 48*o - 39. Let w(m) = 6*m**3 + 16*m**2 + 46*m + 38. Let b(a) = -4*t(a) - 6*w(a). Suppose b(v) = 0. Calculate v.
-3, -2
Let s be 1 + -1 + (3 - -3). Let n be 2/9*-3*-3. Factor -2 + s*y**3 - y**3 - 2*y**n + 9*y - 10*y**2.
(y - 1)**2*(5*y - 2)
Let q(o) be the first derivative of 0*o + 5/4*o**4 + 2/3*o**3 + 0*o**2 - 3/5*o**5 + 10. What is x in q(x) = 0?
-1/3, 0, 2
Factor -3/2*g**2 + 1/4*g**4 - g + 5/4 + g**3.
(g - 1)**2*(g + 1)*(g + 5)/4
Let j be ((-60)/(-9))/4*12*(-3)/(-15). Determine n, given that -15/2*n**2 + 27/4*n**3 - 3/2*n**j + 9/4*n + 0 = 0.
0, 1/2, 1, 3
Let c(y) be the second derivative of y**7/1680 + y**6/240 + y**5/120 - 4*y**3 - 6*y. Let b(z) be the second derivative of c(z). Factor b(n).
n*(n + 1)*(n + 2)/2
Suppose 3*b**3 - 22*b**4 + 35508 - 27*b**3 + 34*b**2 - 4*b**5 + 13*b + 27*b - 35532 = 0. What is b?
-3, -2, 1/2, 1
Let l be (-7 + (-60)/(-8))*(-1 + 9). Let z(d) = 3 - 4*d + d**2 - 2 + 5*d. Let j(n) = 16*n**2 - 16*n - 12. Let k(f) = l*z(f) + j(f). Solve k(v) = 0.
-2/5, 1
Factor -44*h**2 + 25*h**3 + 20*h**2 + 27*h**3.
4*h**2*(13*h - 6)
Let y(k) = k**2 - 14*k + 5. Let i be ((-10)/(-6))/(1/3). Suppose i*j = 3*j + 30. Let f(b) = 5*b**2 - 55*b + 20. Let q(a) = j*y(a) - 4*f(a). Factor q(r).
-5*(r - 1)**2
Suppose 123*k - 137*k + 56 = 0. Let y be 120/36*(-3)/(-2). Factor -1/3*o**k - 1/3*o**y + 1/3*o**3 + 0 + 1/3*o**2 + 0*o.
-o**2*(o - 1)*(o + 1)**2/3
Let q(s) be the third derivative of s**8/168 + 29*s**7/105 - 39*s**6/10 + 314*s**5/15 - 178*s**4/3 + 96*s**3 + s**2 - 155*s. Solve q(g) = 0 for g.
-36, 1, 2
Let w(i) = -5*i - 45. Let h be w(-16). Suppose -16 - 93*f - 125*f**2 + 5*f**5 - h*f**4 - 4 + 173*f + 95*f**3 = 0. What is f?
1, 2
Let t = 303 - 300. Let c(m) be the first derivative of 2/15*m**t + 0*m + 2/5*m**2 - 1/10*m**4 + 6. Solve c(f) = 0 for f.
-1, 0, 2
Let u(j) be the first derivative of j**7/210 - j**5/50 + j**3/30 - 38*j + 17. Let q(d) be the first derivative of u(d). Determine n, given that q(n) = 0.
-1, 0, 1
Find y, given that -6169 - 1440*y + 2358 - 110*y**2 - 40*y**2 - 5*y**3 - 669 = 0.
-14, -8
Let d(y) be the second derivative of -y**5/60 + 31*y**4/108 + 31*y**3/27 - 4*y**2/3 - 76*y. Solve d(w) = 0.
-2, 1/3, 12
Suppose 56*a + 6*a**4 - 2*a**4 + 1 - 21 + 8*a**3 - 37*a**2 - 18*a**2 + 7*a**2 = 0. Calculate a.
-5, 1
Let f(r) be the third derivative of -1/108*r**4 - 1/945*r**7 + 1/270*r**5 + 0 + 1/540*r**6 + 5*r**2 + 0*r + 0*r**3. Find s, given that f(s) = 0.
-1, 0, 1
Suppose -4*x = -3*t - 426, 5*x + 5*t - 25 - 490 = 0. Suppose 3*y**3 + x*y - 4*y**2 - 36*y**2 - 75 + 7*y**2 = 0. What is y?
1, 5
Let g be ((-8)/4)/((-2)/4). Factor -3*m**4 + g - 4 - 21*m**2 + 24*m**2.
-3*m**2*(m - 1)*(m + 1)
Let k(h) be the third derivative of -1/6*h**6 + 0 + 8/105*h**7 + 0*h**4 - 1/84*h**8 + 7*h**2 + 2/15*h**5 + 0*h**3 + 0*h. Find q, given that k(q) = 0.
0, 1, 2
Let i(a) be the third derivative of -a**7/630 + 29*a**6/360 - 37*a**5/30 + 35*a**4/18 + 196*a**3/9 + 65*a**2 - 1. Determine o so that i(o) = 0.
-1, 2, 14
Let c(k) be the second derivative of 1/4*k**5 - 5/6*k**3 - 11*k + 0*k**2 + 1/6*k**6 - 5/12*k**4 + 0. Factor c(j).
5*j*(j - 1)*(j + 1)**2
Let j(p) = -p**2 - 148*p + 610. Let a be j(4). Factor 0*t + 2/3*t**a + 0 - 1/3*t**3.
-t**2*(t - 2)/3
Suppose -4*j = -7*j + 6. Factor a - 3*a + a - 101*a**2 + 102*a**j.
a*(a - 1)
Let z be 4*(-4)/8 + 2. Let i(o) be the third derivative of z + 0*o**3 + 0*o + 11/60*o**5 - 1/12*o**4 + 3*o**2 - 3/40*o**6. Let i(w) = 0. What is w?
0, 2/9, 1
Factor -1/5*j**3 + 244/5 - 248/5*j + 13*j**2.
-(j - 61)*(j - 2)**2/5
Let p(a) be the second derivative of -a**8/8960 - a**7/672 - a**6/240 - 3*a**4/4 + 9*a. Let q(o) be the third derivative of p(o). Factor q(f).
-3*f*(f + 1)*(f + 4)/4
Suppose 234*w - 238*w - 2*h + 8 = 0, 2*h - 8 = -w. Let -1/2*j**2 + 0 + w*j = 0. Calculate j.
0
Let v(h) = -h - 4. Let d be v(-4). Let t be 0/(-1) + 2 + d. Factor b - 30*b**2 - 2*b**3 + 30*b**t + 4 + 5*b.
-2*(b - 2)*(b + 1)**2
Let h(s) be the third derivative of 0*s**3 + 3/70*s**7 + 26*s**2 + 0*s**4 + 1/56*s**8 - 1/20*s**5 + 0 + 0*s**6 + 0*s. Determine k, given that h(k) = 0.
-1, 0, 1/2
Let v be (2/4)/((-17)/(-3060)). Factor -v*s - 17*s