*6 - 1/18*s**4 + 3/20*s**5. Suppose m(i) = 0. What is i?
-1, 1/2, 1, 4
Let m be 15/(-35)*-9 + 27/(-9). Solve -m*w**2 + 0 - 6/7*w = 0.
-1, 0
Suppose 4*s = 2 + 6. Factor -3*o**s + 0*o**3 + 3*o**3 - 2*o - 2*o**3 + 2*o**2.
o*(o - 2)*(o + 1)
Let h(v) be the third derivative of 25*v**8/112 - 4*v**7/7 - 59*v**6/40 + 7*v**5/2 + 4*v**4 - 16*v**3 - v**2 - 21. Solve h(t) = 0 for t.
-1, 4/5, 2
Factor 8*x**2 + 45*x**4 + 8*x**2 + 4*x**5 - 12*x**3 + 16*x - 53*x**4.
4*x*(x - 2)**2*(x + 1)**2
Let a = 5925 - 5923. Suppose -v + 2/3 + 1/3*v**a = 0. What is v?
1, 2
Solve 15/7*w - 6/7*w**2 + 12/7*w**4 - 6/7 - 12/7*w**3 - 3/7*w**5 = 0.
-1, 1, 2
Let d be ((2 - 1)*1)/(52/(-32)). Let g = d + 45/52. Factor -1/4*x + 0 - g*x**2 + 1/2*x**3.
x*(x - 1)*(2*x + 1)/4
Let q(x) = -x**2 - x + 1. Let i = -51 - -53. Let z(s) = 3*s**2 + 5*s - 2. Let v(w) = i*z(w) + 4*q(w). Factor v(y).
2*y*(y + 3)
Suppose -3*n = 5*r - 25, -3*n - 19 - 6 = -5*r. Factor n + 13/3*u**3 - 2/3*u + 11/3*u**2.
u*(u + 1)*(13*u - 2)/3
Let x be -5*133/(-1540) - 2/11. Suppose 3*d + 5 = 14. Let -1/4*z**d + 1/4*z - x + 1/4*z**2 = 0. What is z?
-1, 1
Determine j, given that 45 - 28 - 44 - 24*j**3 - 4*j**4 + 0*j**3 - 66*j**2 + j**4 - 72*j = 0.
-3, -1
Find l such that -30*l**2 - 13 + 5 - 70*l**2 - 8*l**2 + 116*l = 0.
2/27, 1
Let f(z) be the third derivative of z**6/600 - z**5/300 - z**4/24 - z**3/10 - 30*z**2 + z. Solve f(c) = 0.
-1, 3
Determine f, given that 0*f**3 - 4/3 + 3*f + 1/6*f**4 - 11/6*f**2 = 0.
-4, 1, 2
Let d(v) be the first derivative of v**2 - 2/3*v**3 + 0*v - 9. Factor d(n).
-2*n*(n - 1)
Suppose -10*q - 52 = -92. Suppose -5*g + 3 = -b + 6, -2*g + 12 = q*b. Find x such that 0*x + 1/7*x**b - 1/7*x**2 + 0 = 0.
0, 1
Let f = 3572 - 3570. Factor 0 - 1/2*w - 15/8*w**3 - 13/8*w**f - 1/8*w**5 - 7/8*w**4.
-w*(w + 1)**3*(w + 4)/8
Let c(t) be the first derivative of 7 - 50*t**2 + 40*t - 35/4*t**4 + t**5 + 30*t**3. Solve c(k) = 0.
1, 2
Let b(t) be the first derivative of t**2 + 4/21*t**3 + 6/7*t - 20. Factor b(o).
2*(o + 3)*(2*o + 1)/7
Let u = 81 - 79. Factor 3/7*t**u + 0 + 3/7*t.
3*t*(t + 1)/7
Let r = 18475 - 18473. Factor -8*h**5 + r*h**2 + 4*h**3 - 1/2*h - 4*h**4 - 1/4.
-(2*h - 1)**2*(2*h + 1)**3/4
Let t be (3*(2 - 3))/(-3). Find a, given that 15*a**2 - 7 - t + 4*a**3 - 7*a**2 - 4*a = 0.
-2, -1, 1
Let u(c) be the first derivative of 1/18*c**4 - 3*c + 0*c**2 + 2/9*c**3 + 4. Let k(a) be the first derivative of u(a). Suppose k(z) = 0. What is z?
-2, 0
Suppose -3*w**4 - 2*w**4 + 10*w**3 - 27*w**2 + 9*w**2 - 10*w + 23*w**2 = 0. What is w?
-1, 0, 1, 2
Let g be ((-12)/18)/(4/(-102)). Let v = -13 + g. Factor 80*x**2 + 13*x + 14*x**5 + 4 + 22*x**3 + 78*x**3 + 60*x**v + 17*x.
2*(x + 1)**4*(7*x + 2)
Factor s**2 - 7*s + 70 - 10*s + 5*s - 5*s.
(s - 10)*(s - 7)
Let f(b) = 194*b - 3102. Let h be f(16). Factor 9/4*r + 0 - 3/2*r**h + 1/4*r**3.
r*(r - 3)**2/4
Let k(r) be the first derivative of 1/24*r**4 - 6 - 9/2*r**2 + 0*r + 17/180*r**5 + 1/30*r**6 - 1/9*r**3. Let z(j) be the second derivative of k(j). Factor z(q).
(q + 1)*(3*q + 2)*(4*q - 1)/3
Suppose -3*i - 2*w + 18 = 0, 2*i + 3*w = 17 - 0. Let p(l) be the second derivative of -1/6*l**i + 6*l - l**3 - 2*l**2 + 0. Find b, given that p(b) = 0.
-2, -1
Let p(j) be the first derivative of -j**7/490 + j**6/280 + j**5/280 + 4*j**3/3 - 27. Let t(u) be the third derivative of p(u). What is a in t(a) = 0?
-1/4, 0, 1
Determine y so that -18/13*y - 12/13*y**2 - 2/13*y**3 - 8/13 = 0.
-4, -1
Let u(x) be the first derivative of -x**4/6 + 76*x**3/9 - 464. Factor u(q).
-2*q**2*(q - 38)/3
Let s = -658 - -7897/12. Let c(z) be the first derivative of 2/3*z + 1 - 2/9*z**3 - s*z**4 + 1/6*z**2. Suppose c(m) = 0. What is m?
-2, -1, 1
Let t(a) be the second derivative of 8/33*a**3 + 0 - 1/66*a**4 - 16/11*a**2 - 17*a. Determine v, given that t(v) = 0.
4
Let w(z) be the second derivative of -z**6/6 - 2*z**5 - 5*z**4/2 + 100*z**3/3 - 125*z**2/2 - 221*z. Let w(c) = 0. Calculate c.
-5, 1
Suppose 0 = 2*k + v - 17, -k + 3*v = -0*k + 2. Solve 21*f**2 + 131*f + 2*f**3 - k*f**4 + 148*f + 4 - 299*f = 0 for f.
-2, 2/7, 1
Let h(m) be the first derivative of 1/70*m**5 + 0*m**2 + 0*m**4 - 5*m + 1/105*m**6 + 0*m**3 - 3. Let b(g) be the first derivative of h(g). Factor b(p).
2*p**3*(p + 1)/7
Let p(r) be the third derivative of -13/132*r**4 + 0 + 1/30*r**5 + 4*r**2 + 2/33*r**3 + 0*r. Factor p(n).
2*(n - 1)*(11*n - 2)/11
Factor -3/5*f - 3/5*f**5 + 0 + 0*f**2 + 6/5*f**3 + 0*f**4.
-3*f*(f - 1)**2*(f + 1)**2/5
Let c(w) be the second derivative of w**5/4 - 495*w**4/4 + 49005*w**3/2 - 4851495*w**2/2 + 51*w - 2. Determine p so that c(p) = 0.
99
Let s(r) be the second derivative of 3*r**5/40 - 155*r**4/8 + 6083*r**3/4 - 17787*r**2/4 - 137*r. Factor s(d).
3*(d - 77)**2*(d - 1)/2
Suppose 17 - 3 = 7*c. Factor 0*n**c - n**2 - n**2 + 21*n - 4*n**2 + 12.
-3*(n - 4)*(2*n + 1)
Let g(l) be the third derivative of 3/35*l**5 + 5/7*l**3 - 2*l**2 + 1/280*l**6 + 3/8*l**4 + 0*l - 13. Suppose g(a) = 0. Calculate a.
-10, -1
Suppose -4*j + j + 31 = -4*r, -5*j = 4*r - 41. Let g be ((-18)/21)/((-2)/14). Factor 3*f**3 - 3*f**3 + j*f**3 - 3*f**4 - g*f**2.
-3*f**2*(f - 2)*(f - 1)
Let k(h) be the second derivative of -1/252*h**7 - 1/60*h**5 + 0*h**4 + 0 + 0*h**3 + 0*h**2 - 1/60*h**6 - 4*h. Factor k(z).
-z**3*(z + 1)*(z + 2)/6
Find a, given that 4*a**3 - 63 + 24*a + 63 + 3*a**2 - 31*a**2 = 0.
0, 1, 6
Suppose -6 = -5*n - 2*c + 6, c - 5 = -2*n. Factor -n*w**2 + 3*w**2 + 2*w**2 + 0*w**2.
3*w**2
Let p = 787 + -787. Let g(w) be the second derivative of p*w**3 - 1/70*w**6 + 0*w**5 + 0*w**2 + 0 + 4*w + 0*w**4. Solve g(d) = 0.
0
Let g be -14*(-17)/238 - 15/(-21). Factor g*w - 2/7*w**2 + 0.
-2*w*(w - 6)/7
Factor -11*d**2 + 23*d**2 + 40*d - 7*d**2 - 45.
5*(d - 1)*(d + 9)
Let r(q) = q**3 + 66*q**2 + 33*q - 2078. Let a be r(-65). Let -2/3 + 11/3*o + 2*o**a = 0. What is o?
-2, 1/6
Let s(d) = 12*d**5 - 90*d**4 + 108*d**3 - 99*d**2 + 9*d. Let g(k) = 3*k**5 - 23*k**4 + 27*k**3 - 25*k**2 + 2*k. Let y(n) = 15*g(n) - 4*s(n). Solve y(r) = 0.
0, 1, 2
Let r = -463/5 - -941/10. Factor -r*p**2 + 0 + 0*p + 1/2*p**3.
p**2*(p - 3)/2
Let p(n) = -n**3 - 26*n**2 - 40*n + 197. Let k be p(-24). Factor -3/5*d**3 + 0*d + 3/5*d**4 - 1/5*d**k + 0 + 1/5*d**2.
-d**2*(d - 1)**3/5
Let m(d) = -2*d**2 + 13*d + 7. Let k be m(6). Suppose 15*r - 7*r = k*r. Find w such that -2/11*w**4 + 2/11*w - 6/11*w**2 + r + 6/11*w**3 = 0.
0, 1
Let w be ((-76)/(-16) - 1/(-4)) + -2. Suppose 30*f**2 - 13*f - 14*f**3 - 3*f - 11*f + 6 + 5*f**w = 0. What is f?
1/3, 1, 2
Suppose 3*b + 4*c = 15 + 7, -3*c = 4*b - 20. Factor -293*l**3 - 11*l - 9*l + 160*l**b + 18*l**3.
-5*l*(5*l - 2)*(11*l - 2)
Let s(r) be the first derivative of r**2 + 0*r - 1/2*r**4 + 4 + 0*r**3. Let s(x) = 0. Calculate x.
-1, 0, 1
Let i(m) be the first derivative of 0*m + 3/8*m**4 + 14 - 1/10*m**5 - 1/3*m**3 + 0*m**2. Factor i(f).
-f**2*(f - 2)*(f - 1)/2
Let m(p) = 3*p**2 + p + 5. Let z(v) = 0*v**2 + 3*v**2 - 3 - 4*v**2 + 1. Suppose 6*k - 8 = 4. Let u(w) = k*m(w) + 5*z(w). Factor u(b).
b*(b + 2)
Let c(k) = -10*k**2 - 30*k + 11. Let f(o) = 2*o**2 + 6*o - 2. Let p(z) = 4*c(z) + 22*f(z). Let s be p(-3). Factor s + 1/7*d**4 - 2/7*d**2 + 0*d - 1/7*d**3.
d**2*(d - 2)*(d + 1)/7
Let g(o) be the first derivative of o**6/120 + o**5/30 + 5*o**2 - 4. Let s(w) be the second derivative of g(w). Determine c, given that s(c) = 0.
-2, 0
Find h, given that -5/3*h**4 + 5/3*h**2 + 0 - h**3 - 1/3*h**5 + 4/3*h = 0.
-4, -1, 0, 1
Solve 1/4*p**2 + 0*p + 0 - 1/4*p**3 = 0 for p.
0, 1
Let s = -630 + 7561/12. Let c(v) be the second derivative of s*v**3 - 1/48*v**4 + 0*v**2 + 5*v + 0. Let c(g) = 0. Calculate g.
0, 2
Factor 126*z**2 - 44*z**2 + 8*z**3 + 30*z**2 + 28*z**2 - 4*z**4.
-4*z**2*(z - 7)*(z + 5)
Let w(z) be the second derivative of -25*z**7/42 + 4*z**6 - 15*z**5/2 + 10*z**4/3 + 5*z**3/2 + 2*z + 1. Find f such that w(f) = 0.
-1/5, 0, 1, 3
Let u(i) be the third derivative of 1/18*i**3 + 0*i + 3*i**2 + 1/180*i**5 + 1/36*i**4 + 0. Factor u(d).
(d + 1)**2/3
Let w(x) = -7*x**4 - 5*x**3 - x**2 + 3. Let u(n) = 6*n**4 + 5*n**3 + n**2 - 2. Let r(s) = -3*u(s) - 2*w(s). Factor r(p).
-p**2*(p + 1)*(4*p + 1)
Suppose -4*c + 8 = -0*c. Let 4*k**5 + 14*k**2 - 29*k**2 + 15*k**c + 4*k**4 = 0. Calculate k.
-1, 0
Let n(i) = -2*i**2 - 63*i - 218. Let p be n(-4). Solve 44/3*s - 8/3 + 52/3*s