t c(x) = 0.
0, 1/2, 1
Let t = 37 - 55. Let g(k) = -k**3 + k**2 + 1. Let o(n) = 11*n**3 - 15*n**2 - 2*n - 3. Let h(l) = t*g(l) - 2*o(l). Solve h(u) = 0.
-1, 1, 3
Let s be 75/45*9 - 10. Determine a, given that 0 + 4/11*a**2 - 4/11*a**4 + 0*a**3 + 2/11*a - 2/11*a**s = 0.
-1, 0, 1
Let b(l) = 8*l**2 + 64*l + 109. Let z(u) = 4*u**2 + 32*u + 54. Let t(y) = -6*b(y) + 13*z(y). Solve t(k) = 0 for k.
-6, -2
Let d(s) = -20*s**2 + 595*s - 585. Let h(u) = 17*u**2 - 595*u + 586. Let z(q) = 4*d(q) + 5*h(q). Determine n, given that z(n) = 0.
1, 118
Let f(p) be the third derivative of p**7/1050 + p**6/150 + p**5/75 + 5*p**3/6 - 15*p**2. Let c(a) be the first derivative of f(a). Suppose c(s) = 0. What is s?
-2, -1, 0
Let s(j) = -j**2 + 6*j. Let g be s(6). Let b be (-2)/(1/(-2) + g). Factor -2/3*c**b + 4/3*c**2 - 2/3 + 0*c + 0*c**3.
-2*(c - 1)**2*(c + 1)**2/3
Suppose -1890 = -11*k - 10*k. Let z be 34/51*(k/4)/5. Solve -12/7*j**2 - 8/7*j**z - 2/7*j**4 - 8/7*j - 2/7 = 0.
-1
Let a(k) be the first derivative of -7 - 8/3*k - 4*k**2 + 2/9*k**3 + 1/2*k**4. Find x such that a(x) = 0.
-2, -1/3, 2
Let r(h) = 2*h**3 + h**2 - 2*h - 1. Suppose 0*g - 12*g = -12. Let c(z) = -z**4 - z**3 + z + 1. Let m(n) = g*r(n) + c(n). Factor m(p).
-p*(p - 1)**2*(p + 1)
Factor 55 + 144*b - 16*b - 8*b + 3*b**2 + 248 - 75.
3*(b + 2)*(b + 38)
Let h(u) = 38*u**3 + 892*u**2 + 3696*u + 784. Let c(q) = -13*q**3 - 297*q**2 - 1231*q - 261. Let n(z) = 16*c(z) + 5*h(z). Factor n(y).
-2*(y + 8)**2*(9*y + 2)
Suppose 5*n - 5*k + 5 = 0, 2*k - 4 = -0. Let o(u) be the first derivative of 2/3*u - 1/3*u**2 - 2/9*u**3 + 1/6*u**4 + n. Determine s so that o(s) = 0.
-1, 1
Let w(s) be the second derivative of s**5/80 + 3*s**4/16 - s**3/2 - 5*s**2/2 + 162*s. Factor w(n).
(n - 2)*(n + 1)*(n + 10)/4
Let q(k) be the third derivative of -k**5/420 - 7*k**4/4 - 1029*k**3/2 + 867*k**2. Determine x so that q(x) = 0.
-147
Suppose 9/2*t**3 + 1/2*t**4 + 17/2*t**2 - 9/2*t - 9 = 0. Calculate t.
-6, -3, -1, 1
Let q be ((-3)/1*-1)/1. Factor 252/25*y**2 - 24/5*y + 16/25 - 98/25*y**q.
-2*(y - 2)*(7*y - 2)**2/25
Let k(d) be the first derivative of -d**6/2 + 12*d**5/5 - 3*d**4/2 - 4*d**3 + 9*d**2/2 + 82. Suppose k(s) = 0. Calculate s.
-1, 0, 1, 3
Let x(a) be the first derivative of 2*a**6/3 - 56*a**5/5 + 66*a**4 - 144*a**3 - 54*a**2 + 648*a + 694. Find m such that x(m) = 0.
-1, 3, 6
Let w(b) be the second derivative of b**6/6 - 7*b**5/2 + 95*b**4/4 - 30*b**3 - 270*b**2 + 270*b. Suppose w(o) = 0. What is o?
-1, 3, 6
Suppose 1457 = -20*l + 1497. Factor -2/9*n**l + 2/9*n + 4/3.
-2*(n - 3)*(n + 2)/9
Let n(g) = g**2 - 60*g. Let t(f) = f**2. Let u(z) = n(z) + 4*t(z). Factor u(q).
5*q*(q - 12)
Let 0*s + 5*s**2 + 3/2*s**3 + 0 - 1/2*s**4 = 0. What is s?
-2, 0, 5
Let s(z) be the third derivative of -1/80*z**5 + 9/16*z**4 - 20*z**2 - 81/8*z**3 + 0*z + 0. Determine n so that s(n) = 0.
9
Let c be 45/(-450) + (0 - (-81)/210). Factor 0 - c*r**3 + 0*r - 2/21*r**2 - 2/21*r**5 - 2/7*r**4.
-2*r**2*(r + 1)**3/21
Let i be (-8)/12*(-259)/37. Find b such that 0 - 2/9*b**2 + 2/9*b**4 - 46/9*b**3 + 4/9*b + i*b**5 = 0.
-1, -1/3, 0, 2/7, 1
Suppose -2*k = 4, 106*a + 2 = 103*a - 4*k. Suppose 0 = 2*g + 4*r - 28 - 32, -5*r - 24 = -2*g. Factor -g*h - 12*h + 6*h**3 + a*h**2 + 34*h.
2*h**2*(3*h + 1)
Let p be (-2)/(-7)*((-88)/(-4))/22. What is a in -p*a**3 + 4/7*a**5 - 2/7*a - 6/7*a**2 + 0 + 6/7*a**4 = 0?
-1, -1/2, 0, 1
Let z(l) be the first derivative of 26 + 1/2*l**4 + 8/15*l**3 + 0*l**2 + 0*l + 2/25*l**5. Find n, given that z(n) = 0.
-4, -1, 0
Let c(b) = -5*b**2 - 5*b - 11. Let m(i) = 0*i + 0 + i**2 + i + 2. Let k be ((44/12)/(1/3))/(-1). Let v(s) = k*m(s) - 2*c(s). Find p such that v(p) = 0.
-1, 0
Let l be (48/64)/(-3 + (-39)/(-12)). Let h(y) be the first derivative of 1/15*y**5 - 4/3*y + 2/3*y**2 + 1/3*y**l + 5 - 1/3*y**4. Find c such that h(c) = 0.
-1, 1, 2
Let t(h) be the third derivative of -1/210*h**7 + 1/60*h**5 + 0*h**6 + 33*h**2 + 0 + 1/48*h**4 + 0*h**3 + 0*h - 1/672*h**8. Factor t(y).
-y*(y - 1)*(y + 1)**3/2
Let g(f) = f**2. Let m(a) be the third derivative of a**5/30 + 2*a**4/3 - a**2 - 1. Let j(b) = -g(b) + m(b). Factor j(s).
s*(s + 16)
Let n(f) = -3*f**2 + 186*f. Let c(q) = q**2 - 46*q. Let i(l) = -9*c(l) - 2*n(l). Find o, given that i(o) = 0.
0, 14
Let m(g) be the first derivative of g**9/21168 + g**8/5880 - g**6/1260 - g**5/840 + 4*g**3/3 + 8*g + 45. Let n(d) be the third derivative of m(d). Factor n(y).
y*(y - 1)*(y + 1)**3/7
Let l(m) = 8*m**2 + 115*m + 3714. Let y(j) = -7*j**2 - 116*j - 3715. Let k(r) = -6*l(r) - 7*y(r). Factor k(u).
(u + 61)**2
Let m = -357/4 - -90. Let q be (-3)/(-9)*(-30)/(-2). Determine o so that m*o**q + 0*o - o**4 + 0*o**2 + 0 + 1/4*o**3 = 0.
0, 1/3, 1
Let g be 595/51 - (0 - -11). Determine v so that -1/3*v + g - 1/3*v**2 = 0.
-2, 1
Let g(w) = -46*w - 179. Let n be g(-4). Let m(c) be the third derivative of 4*c**2 - 1/3*c**3 + 0 + 1/60*c**n - 1/24*c**4 + 0*c. Suppose m(j) = 0. What is j?
-1, 2
Let w be (-531)/(-504) + (-2 - -1). Let v(q) be the third derivative of 5*q**2 - 1/70*q**5 + 0*q - 1/14*q**3 + w*q**4 + 0. Determine l so that v(l) = 0.
1/2, 1
Suppose 27 + 75 = 6*y. Determine r so that 79*r**3 - y*r**2 + 40*r**2 - 22*r**3 + 6*r**5 + 33*r**4 + 9*r + 16*r**2 = 0.
-3, -1, -1/2, 0
Let c(p) be the first derivative of -2*p**5/5 - 22*p**4 - 420*p**3 - 2700*p**2 + 6750*p + 108. What is l in c(l) = 0?
-15, 1
Let v be (4/10)/(2/20). What is q in -v*q**2 - 8 + 1 + 3 + 8*q**2 = 0?
-1, 1
Let n be (-5 + 590/120)/((-3)/24). Let u = 5 + -3. Solve n + 7/2*s**u + 8/3*s + 3/2*s**3 = 0.
-1, -2/3
Factor -18/11 + 1/11*z**2 - 3/11*z.
(z - 6)*(z + 3)/11
What is f in -26/15*f - 2/15*f**2 + 28/15 = 0?
-14, 1
Let l = 4768/3 - 1589. What is j in 0 - 1/3*j**2 - l*j = 0?
-1, 0
Let k = -1410 + 1410. Factor 2/13*s**3 + 0 - 6/13*s**2 + k*s.
2*s**2*(s - 3)/13
Factor -2133*v**3 + 14*v + 4 - 7*v**2 + 2125*v**3 - 3*v**2.
-2*(v - 1)*(v + 2)*(4*v + 1)
Let b(k) be the second derivative of 0 - 8*k**2 - 22*k - 14/15*k**6 + 11/3*k**4 - 2/5*k**5 + 8/3*k**3 - 4/21*k**7. Determine i so that b(i) = 0.
-2, -1, 1/2, 1
Let i = 2 + 1. Let n = -1 + i. Factor -3 + n + s - 1 - 2*s**2 + 3*s.
-2*(s - 1)**2
Let o be 84/(-22) - 0 - (5 - 1)*-1. Let 2/11*u - 4/11 + o*u**2 = 0. Calculate u.
-2, 1
Let l(y) be the first derivative of -y**6/12 - 13*y**5/10 - 7*y**4 - 40*y**3/3 + 420. Find w such that l(w) = 0.
-5, -4, 0
Let p(b) be the second derivative of b**5/20 + 13*b**4/6 - 158*b. Solve p(n) = 0 for n.
-26, 0
Let q(n) be the first derivative of -n**6/6 + 3*n**5/2 - 5*n**4 + 25*n**3/3 - 15*n**2/2 - 17*n - 20. Let s(m) be the first derivative of q(m). Factor s(h).
-5*(h - 3)*(h - 1)**3
Let u(o) be the third derivative of o**5/60 - o**4/8 - 44*o**3/3 + 21*o**2 + 9. Solve u(y) = 0.
-8, 11
Suppose 2*v + 2*v = -5*d + 96, -4*d = -4*v - 48. Suppose -5*j = -d*j + 22. Factor -8/7*i**j - 2/7 + 10/7*i.
-2*(i - 1)*(4*i - 1)/7
Let r(k) be the first derivative of -9/4*k**4 + 0*k**2 + 20 + 17/6*k**3 - 2*k + 1/2*k**5. Factor r(v).
(v - 2)*(v - 1)**2*(5*v + 2)/2
Let y(d) = 2*d - 7. Suppose -5*o - 13 = 5*z - 38, -3*z + 13 = 5*o. Let a be y(z). Determine p so that -6*p**2 + 3*p**2 + 2*p - a*p = 0.
-1, 0
Let a = 203/2 - 101. Let o(g) be the first derivative of 2 - 2/3*g**3 + 1/4*g**4 + a*g**2 + 0*g. Suppose o(b) = 0. What is b?
0, 1
Let a(k) = -15*k**4 - 22*k**3 + 52*k**2 + 30*k - 61. Let c(d) = 10*d**4 + 15*d**3 - 35*d**2 - 20*d + 40. Let t(r) = -5*a(r) - 8*c(r). Factor t(j).
-5*(j - 1)**2*(j + 1)*(j + 3)
Let w(h) be the third derivative of -h**6/780 - h**5/65 + 32*h**3/39 + 111*h**2 + 2*h. Factor w(t).
-2*(t - 2)*(t + 4)**2/13
Suppose -4*d + 6 = -3*q, -2*d + 3 + 11 = 4*q. Let k(n) be the second derivative of -1/50*n**5 - 9/5*n**3 - d*n + 3/10*n**4 + 27/5*n**2 + 0. Solve k(l) = 0.
3
Let l(a) be the third derivative of a**5/330 - 7*a**4/132 + 102*a**2. Factor l(x).
2*x*(x - 7)/11
Let x(d) be the first derivative of -14/5*d**5 - 146*d**3 - 196*d + 89/2*d**4 + 43 - 413*d**2. Find i such that x(i) = 0.
-1, -2/7, 7
Factor 0 + 3*k**2 + k - 7/4*k**3.
-k*(k - 2)*(7*k + 2)/4
Let l(m) be the third derivative of 0 + 37*m**2 + 0*m - 1/300*m**5 + 1/3*m**3 - 1/40*m**4. Find p such that l(p) = 0.
-5, 2
Solve 10/19*h**2 + 6/19*h**3 - 52/19*h + 16/19 = 0 for h.
-4, 1/3, 2
Solve -13*d**3 - 105*d + 7*d**3 + 97*d 