What is l?
0, 8
Let r(k) be the first derivative of 0*k - 10*k**2 + 0*k**3 + 21 + 5/4*k**4. Factor r(p).
5*p*(p - 2)*(p + 2)
Suppose -z + 2 = -k - 5, -20 = 4*k. Suppose o**2 - 17*o - 16*o + 5*o**z + 30*o**3 + 3*o**5 - 56*o**4 + 35*o**4 + 15 = 0. What is o?
-1, 1, 5
Let x = 32 + -30. Find b such that x*b**2 + b**2 - 2*b**2 - 3*b - 4*b**2 = 0.
-1, 0
Suppose 5*g + 270 = 5*l + g, -245 = -5*l - g. Let q be (-40)/l - (-28)/10. Factor -21/4*z**q + 27/4*z - 3/2.
-3*(z - 1)*(7*z - 2)/4
Let s(f) = -4*f**2 + 11*f + 12. Let w(n) = -5*n**2 + 9*n + 14. Let m(x) = -3*s(x) + 2*w(x). Factor m(b).
(b - 8)*(2*b + 1)
Let q(x) be the second derivative of 0*x**3 - 5*x - 2*x**2 + 1/14*x**4 + 1/280*x**6 - 1/35*x**5 + 0. Let m(h) be the first derivative of q(h). Factor m(l).
3*l*(l - 2)**2/7
Suppose 3*a = -i + 223, 482 = i + i - 3*a. Factor i*n - 2 - 232*n + n**2 - 2.
(n - 1)*(n + 4)
Let d(i) be the first derivative of -i**6/288 - i**5/96 + 5*i**4/48 - 11*i**3/3 + 14. Let b(n) be the third derivative of d(n). Suppose b(a) = 0. Calculate a.
-2, 1
Suppose -2*b - 33 = -7*b - 3*z, -5*z = 5*b - 35. Determine x so that 5*x**5 + 10*x**3 - 15*x + 6*x**2 + 0*x**5 + b*x**2 + 8*x**2 - 20*x**4 = 0.
-1, 0, 1, 3
Let b(f) be the second derivative of f**4/24 + f**3/6 - 3*f**2/4 - 45*f. Let b(a) = 0. What is a?
-3, 1
Let u(q) = 26*q - 284. Let a be u(11). Let v(j) be the third derivative of 0 - 1/70*j**7 + 0*j**4 + 0*j - 1/40*j**6 + 0*j**5 + 0*j**3 - 7*j**a. Factor v(p).
-3*p**3*(p + 1)
Let w(o) = -15*o**4 - 30*o**3 - 54*o**2 - 33*o - 3. Let n(b) = -7*b**4 - 15*b**3 - 27*b**2 - 17*b - 2. Let g(a) = 9*n(a) - 4*w(a). What is y in g(y) = 0?
-2, -1
Let a be ((-3)/(-6)*-2)/((-13)/130). Suppose -a*k + 14 = -26. Solve -2/7 - 4/7*l + 4/7*l**3 + 2/7*l**k + 0*l**2 = 0.
-1, 1
Let n(b) = -b**2 + 3. Suppose 5*u + 1 - 1 = 0. Let s be n(u). Solve 1/3*c**s + 1/3 - 1/3*c - 1/3*c**2 = 0.
-1, 1
Find u, given that -124/17*u + 1922/17 + 2/17*u**2 = 0.
31
Let m = 25 - 14. Let u = -7 + m. Let t(i) = -3*i**4 - 8*i**3 - 15*i**2 - 6*i - 4. Let z(b) = b**3 - 1. Let s(g) = u*z(g) - t(g). What is h in s(h) = 0?
-2, -1, 0
Let j(i) be the first derivative of -2*i**2 - 2 + 2/3*i**6 + 0*i - 8/3*i**3 + 8/5*i**5 + 0*i**4. Let j(b) = 0. Calculate b.
-1, 0, 1
Let b = -4343/2 + 13129/6. Factor 40*h**2 + 5/3*h**4 - 125/3 - 50/3*h**3 + b*h.
5*(h - 5)**2*(h - 1)*(h + 1)/3
Suppose y + 5*v - 12 = -y, 0 = 4*y - 4*v + 32. Let i be (-12)/(-9)*(10/y - -4). Factor -1/6*h**i - 1/3*h + 0.
-h*(h + 2)/6
Let s(y) be the third derivative of 1/18*y**4 - 1/180*y**6 + 0*y**3 + 0 + 1/90*y**5 + 0*y + 2*y**2. Factor s(c).
-2*c*(c - 2)*(c + 1)/3
Let v be ((-252)/(-60) - 4) + 1/(-5). Let q(a) be the second derivative of 5*a + 2*a**2 + 0*a**3 - 1/4*a**4 + v - 1/20*a**5. Let q(y) = 0. Calculate y.
-2, 1
Let m(l) = -6*l**4 + 24*l**3 + 54*l**2 + 32*l. Let o(y) = 11*y**4 - 48*y**3 - 108*y**2 - 63*y. Let v(x) = 7*m(x) + 4*o(x). Let v(c) = 0. What is c?
-1, 0, 14
Let o(i) be the third derivative of -i**5/80 + 7*i**4/64 + 11*i**3/8 + 241*i**2. Factor o(q).
-3*(q + 2)*(2*q - 11)/8
Let o = 607/3 - 202. Suppose -5*c + 8 = -4*j, -5*j + c + 7 = -c. Determine a so that o*a**j + 0*a - 1/3*a**2 + 0 = 0.
0, 1
Let n(z) = -z**3 - 7*z - 51 + 44 + 4*z**2 + 2*z**3. Let m(v) = -4*v**2 + 8*v + 8. Let g(s) = -3*m(s) - 4*n(s). Let g(t) = 0. What is t?
-1, 1
Factor 88/5*d - 246/5 - 2/5*d**2.
-2*(d - 41)*(d - 3)/5
Let p(v) = 2*v**3 - 10*v**2. Suppose 13*c - 45 = -6. Let d(y) = -5*y**3 + 20*y**2. Let i(t) = c*d(t) + 5*p(t). Factor i(s).
-5*s**2*(s - 2)
Find t such that 102/5 + 20*t - 2/5*t**2 = 0.
-1, 51
Suppose 2*f + 29 - 35 = 0. Suppose 2*t - f - 5 = -2*u, -3 = -3*t. Factor 2/7*s**u + 0 + 4/7*s**2 + 2/7*s.
2*s*(s + 1)**2/7
Factor -18/5*x**2 - 4/5 - 2*x**3 - 14/5*x - 2/5*x**4.
-2*(x + 1)**3*(x + 2)/5
Let o(w) = -20*w**2 + 14*w - 17. Let r = -9 - -15. Let a(g) = 6 + 5*g**2 + 8*g**2 - r*g**2 - 5*g. Let b(y) = 17*a(y) + 6*o(y). Factor b(c).
-c*(c + 1)
Factor 64/5*l**2 + 2/5*l**4 + 0 - 4*l**3 - 64/5*l.
2*l*(l - 4)**2*(l - 2)/5
Factor -2/3*w + 0 - 2/9*w**2.
-2*w*(w + 3)/9
Let u(x) = -x**3 + x**2 + x. Let f(a) be the second derivative of -a**5 - 25*a**4/4 - 49*a**3/6 - 4*a**2 - 20*a. Let h(v) = -f(v) - 5*u(v). Factor h(k).
(k + 2)*(5*k + 2)**2
Suppose -2*y = -3*y + 2. Suppose 6 - 2 = y*i. Factor -2*s**2 - 4*s + 3*s**i - 3*s + 5*s.
s*(s - 2)
Suppose -2*y + 9 + 7 = 4*t, 5*t = -3*y + 21. Solve 0*q**2 + 2 - q**y + q + 3*q**2 - 3*q**2 = 0 for q.
-1, 2
Let m(o) be the first derivative of 15 + 1/30*o**6 + 1/25*o**5 + 0*o + 0*o**3 + 0*o**4 + 0*o**2. Determine h so that m(h) = 0.
-1, 0
Factor 0 + 148/9*n**3 + 32/3*n**2 + 2/3*n**4 + 0*n.
2*n**2*(n + 24)*(3*n + 2)/9
Factor -47 - 465 - 20*t + 84*t - 4*t**2 + 2*t**2.
-2*(t - 16)**2
Let y be -1 + 4 - ((-40)/(-5) - 8). Let m(d) be the first derivative of -15/8*d**4 + 3 + 0*d + 3*d**2 + 4*d**y. What is o in m(o) = 0?
-2/5, 0, 2
Let o(v) be the second derivative of -2/5*v**5 - 1/15*v**6 + 0 - 4*v + 0*v**2 - 2/3*v**3 - 5/6*v**4. Factor o(c).
-2*c*(c + 1)**2*(c + 2)
Let j(d) be the second derivative of 11*d**6/45 - 19*d**5/30 - d**4/3 - 3*d + 14. Factor j(y).
2*y**2*(y - 2)*(11*y + 3)/3
Let y(r) be the third derivative of -r**8/672 + r**7/420 + r**6/240 - r**5/120 + 53*r**2. Factor y(v).
-v**2*(v - 1)**2*(v + 1)/2
Let o(f) be the second derivative of 399*f**5/100 + 44*f**4/5 + 37*f**3/10 - 9*f**2/5 + 2*f - 62. Let o(x) = 0. Calculate x.
-1, -3/7, 2/19
Let z = 3/25 + 477/25. Find y such that -z*y**2 - 4/5*y**3 - 768/5*y - 2048/5 = 0.
-8
Factor -12*a + 69*a**2 - 40 - 140*a**2 + 75*a**2.
4*(a - 5)*(a + 2)
Suppose x + 2*x + 30 = 0. Let l = 12 + x. Factor y**l + 3*y**3 - 6*y**2 - y**2.
3*y**2*(y - 2)
Let s(h) be the second derivative of h**6/75 - 2*h**5/25 - 3*h**4/5 + 36*h**3/5 - 27*h**2 + 54*h. Let s(v) = 0. Calculate v.
-5, 3
Factor -8/5 - 1/5*v**2 - 6/5*v.
-(v + 2)*(v + 4)/5
Let v = 184 - 172. Solve 2*h**2 - h**2 + 2*h**2 + 0*h**2 + v - 15*h = 0 for h.
1, 4
Factor 0 - 3/4*x**3 - 9/2*x + 21/4*x**2.
-3*x*(x - 6)*(x - 1)/4
Let i(n) be the second derivative of -n**7/3780 - 13*n**6/6480 - n**5/540 + 11*n**4/12 - 6*n. Let l(v) be the third derivative of i(v). Factor l(s).
-(s + 2)*(6*s + 1)/9
Let z = 34 + -18. Determine q so that 30*q**4 - 4*q**2 - z - 34*q**4 + 24*q**2 = 0.
-2, -1, 1, 2
Suppose 23*p + 30 = 28*p + 4*x, -5*p + 20 = 2*x. Let g = 765 - 6877/9. Solve 10/9*f**3 + g*f + 0 + 16/9*f**p + 2/9*f**4 = 0 for f.
-2, -1, 0
Let g(t) be the third derivative of 0 + 1/100*t**5 - 1/8*t**4 - t**2 + 0*t + 3/5*t**3. Suppose g(b) = 0. Calculate b.
2, 3
Let o(t) be the second derivative of -5*t**7/42 + t**6/2 - t**5/4 - 5*t**4/4 + 5*t**3/3 + 91*t - 2. What is b in o(b) = 0?
-1, 0, 1, 2
Let m = -467/426 - 5/71. Let w = 5/3 + m. Let 1/2*g - w*g**2 + 1 = 0. What is g?
-1, 2
Suppose -3*a = 5*h - 7 - 12, -3 = 3*h. Determine p, given that a*p + 1 - 7*p + p - 2*p**3 - 2*p**4 + p**4 = 0.
-1, 1
Let s(a) = -3*a + 2*a**2 + 34 - 37 + 5*a. Let z(y) = -3*y**2 - 3*y + 7. Let r(d) = -7*s(d) - 3*z(d). Factor r(g).
-5*g*(g + 1)
Let h be ((-16)/14)/(-4 - 130/(-35)). Solve 2*n - 8*n - 2*n**2 - 3*n**2 - h*n - 5 = 0 for n.
-1
Let o(k) be the first derivative of -k**3 - 6*k - 9/2*k**2 + 7. Factor o(v).
-3*(v + 1)*(v + 2)
Let t(k) be the third derivative of -17/420*k**5 - 1/140*k**6 - 6*k**2 + 13/1470*k**7 + 1/392*k**8 - 3*k + 0 + 2/21*k**3 + 0*k**4. What is i in t(i) = 0?
-2, -1, -2/3, 1/2, 1
Let j(o) = -o**2 - 7*o - 15. Let r be j(-5). Let t be 2/(r/(100/(-12))). Factor -4/3 + 6*u + t*u**3 - 8*u**2.
2*(u - 1)**2*(5*u - 2)/3
Let n(w) = 427*w - 7259. Let g be n(17). Factor g*u - 1/2*u**2 + 5/4*u**3 + 0.
u**2*(5*u - 2)/4
Let b be -29 + 29 - -3*(-10)/75*-5. Factor -2/3*p**4 - 8/3*p**3 - 10/3*p**b - 4/3*p + 0.
-2*p*(p + 1)**2*(p + 2)/3
Solve 0*v - 4*v**2 + 2/5*v**4 + 0 + 6/5*v**3 = 0.
-5, 0, 2
Find m such that 10/21*m + 0 + 2/3*m**3 + 2/21*m**4 + 22/21*m**2 = 0.
-5, -1, 0
Let b(k) be the first derivative of 3*k**5/20 + 9*k**4/16 + k**3/2 - 106. Factor b(j).
3*j**2*(j + 1)*(j + 2)/4
Let o = 7078/2661 + 6/887. Find x, given that 0*x**2 - 4/3 - o*x**3 + 4/3*x**4 + 8/3*x = 0.
-1, 1
Let j = 94 - 90. Factor 2*f**5 + 4282 - 8*f**j - 4282 - 8*f**2 + 2*f + 12*f**3.
2*f*(f - 1)**4
Let s(l) = l**2 - 7*l - 5. Let z be s(8). Find y such that 9*y + 3*y - z*y**2 - 3*y + 3*y = 0.
0, 4
Let p = 916/1