5*b = 9*f - 11*f + 225. Let m be 2/10 + 21/f. What is u in 1/5*u**2 - m + 1/5*u = 0?
-2, 1
Let b(d) be the first derivative of d**6/210 - 2*d**5/35 + 3*d**4/14 - 8*d**2 + 22. Let y(q) be the second derivative of b(q). Determine n so that y(n) = 0.
0, 3
Let q = 9 - 20. Let u = -7 - q. Suppose -3*h**3 + u*h**2 + 2*h**2 + 9*h + 0*h**3 = 0. What is h?
-1, 0, 3
Let q = 277 - 275. Let t = 59 - 235/4. Factor 1/4*s**q + t*s + 0.
s*(s + 1)/4
Let t = 154 - 1229/8. Solve -3/4 - t*b + 3/8*b**2 = 0 for b.
-1, 2
Let i(a) be the third derivative of -2/105*a**7 + 0*a + 0 + 0*a**5 - 7*a**2 + 0*a**3 - 1/30*a**6 + 0*a**4. Factor i(n).
-4*n**3*(n + 1)
Let y(d) = -d**3 + d + 4. Let n be y(0). Let p be ((-3)/(-9))/((-20)/(-360)). Factor -3*q**2 - 1 + p*q**3 - 8*q**3 + q**n + 3*q**2 + 2*q.
(q - 1)**3*(q + 1)
Suppose -2*d - 6 - 9 = -5*q, 4*d + 2*q = 6. Suppose 0 = -0*n + 2*n. Determine w, given that n + 4/9*w**3 + d*w**4 - 2/9*w - 2/9*w**5 + 0*w**2 = 0.
-1, 0, 1
Let c(s) be the third derivative of -1/40*s**6 + 3/8*s**4 - s**3 + 0*s**5 + 0 + 0*s - 12*s**2. Let c(y) = 0. Calculate y.
-2, 1
Let z = -2 + 4. Suppose -2*c**2 + z*c + 5*c - 7*c + c**3 = 0. Calculate c.
0, 2
Let d = -360 + 360. Let k(x) be the third derivative of d*x**3 + 2/105*x**7 + 0*x + 0*x**6 + 6*x**2 + 0 - 1/5*x**5 + 1/3*x**4. Solve k(y) = 0 for y.
-2, 0, 1
Let k be ((-114)/133)/(240/(-112)). Factor 2/5*l**2 - k*l**3 + 0 + 4/5*l.
-2*l*(l - 2)*(l + 1)/5
Let h(a) be the second derivative of -a**6/60 + 7*a**5/20 - a**4 + 121*a. Find s such that h(s) = 0.
0, 2, 12
Let p be (1 - 49/42) + 55/6. Let k(r) = -r**3 + 4*r**2 - 3*r + 2. Let c be k(3). Find m, given that p + m**c - m**3 - m**5 - m**4 + 2*m**5 - 9 = 0.
-1, 0, 1
Let -12/17 + 2/17*h - 2/17*h**3 + 12/17*h**2 = 0. What is h?
-1, 1, 6
Let o(c) be the third derivative of -5/84*c**4 + 0*c - 11/210*c**5 - 1/735*c**7 - 1/60*c**6 + 0 + 0*c**3 + 30*c**2. Suppose o(m) = 0. What is m?
-5, -1, 0
Let d(c) = -c. Let k be (1 + -2)/((-5)/(-15)). Let q be d(k). Solve 8*n - 3*n**3 + 2*n**3 + 3*n**q - 8*n**3 - 2*n**4 = 0 for n.
-2, 0, 1
Let k(t) be the third derivative of t**7/42 + 17*t**6/24 + 15*t**5/4 + 215*t**4/24 + 35*t**3/3 + 381*t**2. Determine m, given that k(m) = 0.
-14, -1
Let b = 83/195 - 1/39. Let v = 2/653 - -643/3265. Factor 0 - v*z**2 + b*z.
-z*(z - 2)/5
Let y(x) be the third derivative of -x**7/315 - 151*x**6/540 + 17*x**5/45 - 339*x**2. Let y(j) = 0. What is j?
-51, 0, 2/3
What is t in -1/2*t**4 + 0*t**3 + t**2 + 0*t - 1/2 = 0?
-1, 1
Let w = -6/847 - -871/3388. Factor 3/2 + w*x**2 - 5/4*x.
(x - 3)*(x - 2)/4
Let m(i) = 12*i**3 - i**2 + 2*i - 1. Let r be m(1). Factor 5*x**2 + r + 25*x + 8 + 1 + 9.
5*(x + 2)*(x + 3)
Let w(h) be the third derivative of 1/5*h**5 + 4*h**2 + 2/7*h**3 - 8/21*h**4 + 0 + 0*h. Determine k so that w(k) = 0.
1/3, 3/7
Let z(n) = 12*n**5 - 20*n**4 + 2*n**3 - 6*n**2 + 12*n - 14. Let x(y) = -y**5 + 2*y**4 - y**3 + y**2 - y + 1. Let b(i) = 14*x(i) + z(i). Factor b(f).
-2*f*(f - 1)**4
Let o(b) be the first derivative of -b**6/20 + 3*b**5/40 - 24*b + 51. Let d(m) be the first derivative of o(m). Determine j, given that d(j) = 0.
0, 1
Let t = -57 - -60. Let r be -3 - t/15*-23. Let -18/5*y**4 + r*y**3 + 64/5*y**2 + 32/5 - 96/5*y + 4/5*y**5 = 0. Calculate y.
-2, 1/2, 2
Determine f, given that -2/9*f**5 - 4/9*f**2 - 4/3*f**4 - 22/9*f**3 + 8/3*f + 16/9 = 0.
-2, -1, 1
Let t(m) be the third derivative of -m**5/60 - 7*m**4/3 - 392*m**3/3 + 10*m**2 - m. Find y, given that t(y) = 0.
-28
Let o(r) be the first derivative of -r**6/27 + 4*r**5/45 + r**4/18 - 4*r**3/27 - 30. Determine w, given that o(w) = 0.
-1, 0, 1, 2
Solve -54*v + 0*v**2 + 1/2*v**4 + 0 + 9/2*v**3 = 0.
-6, 0, 3
Let q(c) = -2*c**4 - 8*c**3 + 2*c**2 + 2*c + 3. Let w(l) = 15*l**4 + 55*l**3 - 15*l**2 - 15*l - 20. Let y(i) = -20*q(i) - 3*w(i). Let y(m) = 0. What is m?
-1, 0, 1
Let n(c) = 48*c**2 + 81*c - 78. Let t(o) = -17*o**2 - 27*o + 26. Let r(m) = 6*n(m) + 17*t(m). Let r(k) = 0. Calculate k.
1, 26
Let l be 12 - (3/3 + -4). Let j = l - 5. Determine t so that -16*t**2 + 2*t**3 + 4*t**2 + 4*t - 4*t**4 + j*t**3 = 0.
0, 1
Let l be ((-16)/24 + 1)/((-4)/(-3)). Determine i, given that 0*i - 1/4*i**2 + l*i**3 + 0 = 0.
0, 1
Let v(w) be the first derivative of 9/8*w**4 + 13/6*w**3 - 31 - 25*w - 45/4*w**2 + 1/10*w**5. Factor v(o).
(o - 2)*(o + 1)*(o + 5)**2/2
Let j(h) be the first derivative of 4*h**3/3 - 216*h**2 + 11664*h + 466. Find w, given that j(w) = 0.
54
Suppose -3*o**3 + 12*o**2 - 8 + 8 + 24*o - 3*o**4 - 12*o = 0. What is o?
-2, -1, 0, 2
Let o(w) = -w**2 + 7. Let l(n) = 85*n**2 - 45*n - 220. Let r(j) = -l(j) - 30*o(j). Factor r(u).
-5*(u - 1)*(11*u + 2)
Let u(y) be the third derivative of y**6/60 - 13*y**5/30 + 17*y**4/4 - 21*y**3 + 6*y**2 - 2*y. Factor u(h).
2*(h - 7)*(h - 3)**2
Let l be (7/((-35)/30))/(-2). Let u(r) be the first derivative of -l*r**3 + 3/5*r**5 + 3/2*r**4 + 12*r - 6*r**2 + 4. Let u(d) = 0. Calculate d.
-2, 1
Let w(t) be the third derivative of t**6/60 - t**5/15 - 130*t**2 + t. Find b such that w(b) = 0.
0, 2
Let z(n) be the third derivative of 5*n**8/312 - 34*n**7/455 - 11*n**6/780 + 73*n**5/195 + n**4/13 - 8*n**3/39 - n**2 - 7*n. Find d such that z(d) = 0.
-1, -2/7, 1/5, 2
Let t(s) = 5*s**2 - 6*s - 14. Let a be ((-150)/45)/((-2)/3). Let x(q) = 5*q**2 - 5*q - 15. Let m(u) = a*t(u) - 6*x(u). Factor m(w).
-5*(w - 2)*(w + 2)
Let i(k) = k**5 + k**4 + k**3 + k - 2. Let j(p) = -19*p**5 + 50*p**4 + 137*p**3 + 42*p**2 - 22*p - 4. Let m(t) = -2*i(t) + j(t). Find o such that m(o) = 0.
-1, 0, 2/7, 4
Let u(c) be the second derivative of -3*c - 5/6*c**3 - 10/3*c**4 - 4*c**5 + 0*c**2 + 0. Factor u(f).
-5*f*(4*f + 1)**2
Factor -75*j**3 + 65*j**2 - 72*j**3 + 157*j**3 - 35*j.
5*j*(j + 7)*(2*j - 1)
Let r be (3 - 2)/((-4)/(-8)). Factor -8*k**3 + 18*k**2 - 9*k**3 + r*k**2 - 25*k + 22*k**3.
5*k*(k - 1)*(k + 5)
Let r(y) be the second derivative of -y**6/360 + y**5/60 - y**4/36 + 9*y**2/2 - y. Let m(i) be the first derivative of r(i). Factor m(x).
-x*(x - 2)*(x - 1)/3
Factor 2003*t + 69*t**2 + t**3 - 20*t**2 - 2003*t.
t**2*(t + 49)
Factor -3*u**4 + 181 - 18*u**2 - 73 + 24*u**3 - 87 - 24*u.
-3*(u - 7)*(u - 1)**2*(u + 1)
Let l(u) be the second derivative of -u**4/42 - 22*u**3/21 - 121*u**2/7 + 553*u. Find o such that l(o) = 0.
-11
Let y(w) be the second derivative of -1/12*w**4 - 1/3*w**3 - 1/2*w**2 + 0 + 28*w. Let y(t) = 0. What is t?
-1
Let h(o) be the third derivative of o**6/160 + 39*o**5/80 - 5*o**4/4 - 57*o**2 - 2. Factor h(a).
3*a*(a - 1)*(a + 40)/4
Let r be 31*((-4)/(-1) + -7). Let w = 283/3 + r. Factor y**2 - 4/3*y - w.
(y - 2)*(3*y + 2)/3
Let a(f) = f**3 + 70*f**2 - 626*f - 156. Let b be a(-78). Factor 0*r + b - 7/3*r**4 - 1/3*r**2 - 8/3*r**3.
-r**2*(r + 1)*(7*r + 1)/3
Let y = 8 - 3. Suppose 0*i + 2 = o + i, -5 = -4*o - y*i. Factor -2*g**3 + 5 - g**4 + g + 2*g**2 - 6 - g**5 + 2*g**o.
(g - 1)**3*(g + 1)**2
Let d(q) be the third derivative of q**7/2240 - q**6/320 + q**4/16 - q**3/3 - 25*q**2. Let f(k) be the first derivative of d(k). Find y such that f(y) = 0.
-1, 2
Let z be (1/(-2)*277)/((-12)/(-24)). Let t = z + 3049/11. Factor -10/11*x**2 - 8/11 - t*x**3 - 16/11*x.
-2*(x + 1)*(x + 2)**2/11
Let u be 19 + -15 - 4738/1521. Let i = u - -2/507. Suppose 0 + i*a**3 + 2/3*a**2 - 2/9*a = 0. Calculate a.
-1, 0, 1/4
Factor -20*a - 1/4*a**3 + 1/4*a**4 - 12*a**2 + 32.
(a - 8)*(a - 1)*(a + 4)**2/4
What is r in 120*r**2 - r**5 - r**5 + 6*r + 8*r**4 - 4*r**3 - 128*r**2 = 0?
-1, 0, 1, 3
Let r be -2 - (42/7 + -13). Let p(i) be the first derivative of -1/4*i**2 + 0*i + 0*i**4 + 1/12*i**6 - 1/5*i**r + 1/3*i**3 - 12. Factor p(q).
q*(q - 1)**3*(q + 1)/2
Let o(n) = -107*n**2 + 435*n - 97. Let d(z) = 37*z**2 - 145*z + 32. Let b(f) = -7*d(f) - 2*o(f). Let b(y) = 0. Calculate y.
2/9, 3
Let x(l) = 7*l**2 - 684*l + 190. Let a(b) = -2*b**2 - 4*b + 2. Let q(d) = -7*a(d) - x(d). Factor q(r).
(r + 102)*(7*r - 2)
Let s be -1*(-10 + 4 + 6)/(-1). Let x(o) = -o + 1. Let j be x(1). Suppose -2/11*c**3 + j - 10/11*c**2 + s*c = 0. What is c?
-5, 0
Let m be ((-4)/(-6))/((-5)/(-4 + -206)). Let b**2 - b**2 - 5*b**3 - 7*b**3 - 8*b**5 + m*b**4 = 0. Calculate b.
0, 1/2, 3
Determine r so that -79*r**3 - 5*r**3 + r**4 - 20 + 12*r + 19*r**2 + 72*r**3 = 0.
-1, 1, 2, 10
Find z such that 1/3*z**3 + 0 + 64/3*z + 16/3*z**2 = 0.
-8, 0