u**3 + p*u**2 = 0.
-1, -1/5, 1
Let s(x) be the second derivative of 3*x**5/40 - 109*x**4/36 + 112*x**3/3 - 24*x**2 - 2*x - 664. Solve s(y) = 0.
2/9, 12
Let p be 28/21 - (-6)/9. Factor 17*f**2 + 17*f**p - 10*f - 39*f**2.
-5*f*(f + 2)
Let g = -7471/2 - -3736. Let 3/4*j**2 - j**3 + g + 9/4*j = 0. What is j?
-1, -1/4, 2
Factor -3/5*y**2 - 8427/5 + 318/5*y.
-3*(y - 53)**2/5
Let y be (-2 - (-96)/30)/(21/10). Factor 0 + 0*t + y*t**2 - 8/7*t**3 + 4/7*t**4.
4*t**2*(t - 1)**2/7
Let j(s) be the first derivative of -5*s**4 + 0*s + 0*s**5 + 8 + 0*s**3 + 5/6*s**6 + 0*s**2. Determine i so that j(i) = 0.
-2, 0, 2
Let b(s) be the first derivative of -s**6/3 - 18*s**5/5 - 7*s**4 + 4*s**3/3 + 15*s**2 + 14*s - 451. Factor b(l).
-2*(l - 1)*(l + 1)**3*(l + 7)
Let a(p) = 3*p**2 - 12*p + 5. Let s(f) = 5*f**2 - 25*f + 10. Suppose 4*y - 10 = -5*d, 3*y - 11 = -d - d. Let h(g) = y*a(g) - 2*s(g). Let h(r) = 0. Calculate r.
1
Let s be (-1)/3*11/((-308)/12). Factor 0 - s*z**2 - 1/7*z**3 + 0*z.
-z**2*(z + 1)/7
Let c = -31 - -54. Factor 10 + 14*w - 10 - 4 + c*w**2 - 5*w**2.
2*(w + 1)*(9*w - 2)
Let t(r) = 10*r**3 - 20*r**2 + 5*r - 25. Let y(f) = f**3 + f**2 - 7*f - 1. Let w(s) = t(s) - 5*y(s). Find c such that w(c) = 0.
1, 2
Let s = 5609/3505 - 1/3505. Factor -48/5*a + 22/5*a**3 - 18/5*a**2 - s.
2*(a - 2)*(a + 1)*(11*a + 2)/5
Let i be (-2)/(2/(3/(-3))). Let v(k) = -2*k + 2*k - k. Let a(d) = -d**4 + 2*d**2 - 4*d - 1. Let y(h) = i*a(h) - 4*v(h). Factor y(n).
-(n - 1)**2*(n + 1)**2
Let f(b) be the third derivative of -b**9/3024 + b**8/560 - b**7/420 + b**3/3 + 5*b**2. Let n(x) be the first derivative of f(x). Factor n(z).
-z**3*(z - 2)*(z - 1)
Suppose -5*f - 34 = -q, 3*q - 7*q + 100 = -2*f. Determine h, given that -q*h - 39 - 8 + 6 - 3*h**2 - 7 = 0.
-4
Let j be ((-2)/(-6))/((-180)/(-108)). Find o such that 3/5*o**2 + 0 + 0*o**3 - j*o**4 + 2/5*o = 0.
-1, 0, 2
Let d(p) = -3*p**2 - 27*p + 68. Let n(z) = 5*z**2 + 55*z - 135. Let x(h) = -5*d(h) - 2*n(h). Let x(l) = 0. What is l?
-7, 2
What is s in -243*s + 1/4*s**4 + 135/2*s**2 + 729/4 - 7*s**3 = 0?
1, 9
Determine c so that -8/5*c + 1/5*c**2 - 9/5 = 0.
-1, 9
Let u be ((-15)/(-135))/((-10)/(-12)). Determine n, given that 0 + 2/15*n**4 - 2/15*n**2 + u*n**3 - 2/15*n = 0.
-1, 0, 1
Let t(y) be the second derivative of -y**4/2 + y**3/2 + 3*y**2/2 + 21*y. Let n(l) = 5*l**2 - 3*l - 4. Let p(i) = 3*n(i) + 2*t(i). Factor p(s).
3*(s - 2)*(s + 1)
Let g(z) be the second derivative of -z**4/6 + z**3/2 - z**2/2 - 47*z + 2. Let n be g(1). What is p in n - 9/4*p + 3/4*p**3 - 3/2*p**2 = 0?
-1, 0, 3
Let r(z) be the first derivative of 3*z**5/5 + 3*z**4/2 - 5*z**3 - 9*z**2 - 93. Factor r(m).
3*m*(m - 2)*(m + 1)*(m + 3)
Find l, given that 0 + 30/7*l - 27/7*l**2 - 3/7*l**3 = 0.
-10, 0, 1
Let f be ((-3)/(-8))/((-6)/(-48)). Factor 3*t**2 - f*t**2 + t**2 + t**2 + 10*t + 8.
2*(t + 1)*(t + 4)
Let 539*f + 39*f**5 - 240*f**3 + 200*f**2 - 43*f**5 - 39*f + 56*f**4 = 0. What is f?
-1, 0, 5
Suppose 826*y - 822*y = 16. Let b(k) be the second derivative of -y*k + 0*k**2 + 0*k**3 + 0 + 1/24*k**4. Factor b(z).
z**2/2
Suppose -n = -3*b + 14 - 10, -4*b - 2 = -5*n. Let w(j) be the first derivative of -1/7*j**3 - 6 - 1/7*j + 1/28*j**4 + 3/14*j**b. Let w(g) = 0. What is g?
1
Suppose -w = -5*w. Let m = -55/108 + 821/1188. Factor 2/11*k**2 + w - m*k.
2*k*(k - 1)/11
Let x(o) = -o**2 - 7*o + 21. Let c be x(-9). Let g be (-2)/(-5) - 46/(-10). Factor 13 - g + 8 - j**4 + 3*j + 13*j - 4*j**c.
-(j - 2)*(j + 2)**3
Factor -10*m**3 + 9*m**3 - 3*m**3 + 2*m**3 + 8*m - 6*m**2.
-2*m*(m - 1)*(m + 4)
Let n(p) be the third derivative of p**9/15120 - p**8/2240 + p**7/1260 - 3*p**4/8 + p**3/6 - 21*p**2. Let f(z) be the second derivative of n(z). Factor f(l).
l**2*(l - 2)*(l - 1)
Suppose -2*l - 36 = -4*c + 2*l, -3*c - 4*l + 41 = 0. Determine q so that 56*q**2 + c*q**4 + 3*q**3 - 56*q**2 - q**3 + 12*q**5 = 0.
-2/3, -1/4, 0
Let n be ((-24)/5)/(-2) - (-6 - (19 - 25)). Suppose -3/5*q**2 - n*q + 0 = 0. What is q?
-4, 0
Let u(i) be the third derivative of 11*i**2 + 0*i - 1/40*i**5 + 0 + 1/16*i**4 + 0*i**3. Determine t so that u(t) = 0.
0, 1
Find p such that 78/5 + 3/5*p**2 + 9*p = 0.
-13, -2
Suppose 9 = -x + 4*h, 3*x - 7*x + 4*h - 24 = 0. Let w be 8/(-80)*-36 + 3/x. Factor -1/2*y**2 + 1/2*y + 0 + 1/2*y**4 - 1/2*y**w.
y*(y - 1)**2*(y + 1)/2
Let z be ((-517)/99*3 + 15)/(4/(-15)). Find a such that 15/2*a**2 + 5/2*a**4 + 0 + 15/2*a**3 + z*a = 0.
-1, 0
Let p = -1741/28 - -437/7. Factor 5/4*m**3 - p*m**2 + 0 - 1/4*m - 3/4*m**4.
-m*(m - 1)**2*(3*m + 1)/4
Let x = -188 - -190. Let q(b) be the first derivative of 1/3*b**x + 1/9*b**3 - b - 1. Suppose q(i) = 0. What is i?
-3, 1
Let c = 3622/3 + -14479/12. Solve 3*y**5 + 0 + 3*y**4 - 3*y**2 - c*y - 9/4*y**3 = 0.
-1, -1/2, 0, 1
Suppose 0 = 3*p - b - 7, -1 = p + 3*b. Let u(a) be the first derivative of 0*a + 1/9*a**2 - p + 1/18*a**4 + 4/27*a**3. Factor u(j).
2*j*(j + 1)**2/9
Let y(t) be the first derivative of t**5/25 - 5*t**4/4 + 143*t**3/15 + 169*t**2/10 - 137. Solve y(u) = 0 for u.
-1, 0, 13
Let x(a) be the third derivative of -31/70*a**7 + 0 - 2*a**2 + 8*a**3 - 26/5*a**5 - 1/28*a**8 - 4*a**4 - 11/5*a**6 + 0*a. Factor x(r).
-3*(r + 2)**4*(4*r - 1)
Let c(h) be the third derivative of -h**8/6720 + h**7/1680 + h**6/120 - 17*h**5/60 - 7*h**2. Let n(o) be the third derivative of c(o). Factor n(a).
-3*(a - 2)*(a + 1)
Factor 11/8*v**2 - 3/8*v**4 - 3/4*v + 0 + 1/8*v**5 - 3/8*v**3.
v*(v - 3)*(v - 1)**2*(v + 2)/8
Suppose -4*k + 29*g - 2 = 27*g, 11*k - g - 17 = 0. Factor -1/3*o**3 - 1/3*o**k + 4 + 8/3*o.
-(o - 3)*(o + 2)**2/3
Let r(j) = j**5 - 41*j**4 + 89*j**3 - 9*j**2 - 101*j + 50. Let q(z) = -z**5 + 21*z**4 - 44*z**3 + 4*z**2 + 51*z - 25. Let s(w) = -11*q(w) - 6*r(w). Factor s(c).
5*(c - 1)**3*(c + 1)*(c + 5)
Suppose 0 = -650*s + 672*s - 44. Solve -16/3*x + 2/3*x**s - 6 = 0.
-1, 9
Let x be (-7775)/(-4) - 0 - 3/(-12). Find g, given that -3727 + 29971 + 144*g**3 + 6*g**4 - 2*g**4 + 11664*g + x*g**2 = 0.
-9
Solve -310/3*a**4 - 2650/3*a - 1955/6*a**3 + 3455/3*a**2 - 35/6*a**5 + 500/3 = 0 for a.
-10, 2/7, 1
Let s(c) = -10*c**3 - 86*c**2 - 48*c + 160. Let p(m) = 2*m**3 + 17*m**2 + 10*m - 32. Let w(u) = 16*p(u) + 3*s(u). Suppose w(l) = 0. What is l?
-4, 1
Factor 48/17*z + 2/17*z**3 + 32/17 + 18/17*z**2.
2*(z + 1)*(z + 4)**2/17
Let o(g) be the second derivative of g**6/72 - g**5/6 + 5*g**4/8 - 8*g**3/3 - 8*g. Let p(a) be the second derivative of o(a). Suppose p(x) = 0. What is x?
1, 3
Factor 12/7*u**3 + 54*u + 183/7 + 207/7*u**2.
3*(u + 1)**2*(4*u + 61)/7
Factor 43/2*m**2 - 41/2*m**3 - 2 + 40*m.
-(m - 2)*(m + 1)*(41*m - 2)/2
Let q(j) = -5*j**2 + 2*j + 3. Let x(c) = -11*c**2 + 3*c + 6. Let z be -1*(-3 + 1) - -1. Let s(k) = z*x(k) - 7*q(k). Factor s(m).
(m - 3)*(2*m + 1)
Let u be (18/28)/((-7)/14). Let o = u + 34/21. Factor 2/3 + w**2 + 5/3*w - 1/3*w**3 - o*w**4.
-(w - 2)*(w + 1)**3/3
Let i(q) be the second derivative of 0 - 2/27*q**4 + 4/9*q**2 + 1/27*q**3 - 1/90*q**5 + 36*q. Determine z, given that i(z) = 0.
-4, -1, 1
Solve 4/5*u + 1/5*u**4 - 8/5 + 6/5*u**2 - u**3 = 0.
-1, 2
Suppose -56*n - 20 = 5*q - 60*n, q + 4*n - 20 = 0. Let -1/8*m**3 + 0*m + q*m**2 + 0 = 0. What is m?
0
Let t(w) be the first derivative of -6*w**6 + 24*w**5 + 86*w**4 - 176*w**3/3 - 106*w**2 - 40*w + 135. Let t(i) = 0. What is i?
-2, -1/3, 1, 5
Let m be 3 + (-2)/(-3) + (-97)/(-3). Find h such that -10 + 15*h - m*h**2 - 3*h**3 - 2*h**3 + 36*h**2 = 0.
-2, 1
Suppose -29*t + 151 = -8*t + 46. Find l such that -8/5 - 14/5*l**3 - 2/5*l**t - 2/5*l**2 + 16/5*l + 2*l**4 = 0.
-1, 1, 2
Let j be (-8)/10*(-270)/72. Suppose 1/7*v**2 - 1/7 - 1/7*v + 1/7*v**j = 0. Calculate v.
-1, 1
Determine v so that 1/7*v**3 + 187/7*v - 95/7*v**2 - 93/7 = 0.
1, 93
Suppose 13*q - 40 = 18*q. Let k(p) = 2*p**3 + 18*p**2 - 8*p + 8. Let n(x) = x**3 + 12*x**2 - 5*x + 5. Let s(m) = q*n(m) + 5*k(m). Find f, given that s(f) = 0.
0, 3
Suppose 12 = 3*u, -4 = 37*i - 36*i - u. Let p(s) be the third derivative of i*s**3 - 7/480*s**5 + 0*s + 1/64*s**4 - 11*s**2 + 0. Factor p(r).
-r*(7*r - 3)/8
Let b(g) be the second derivative of -g**6/75 - 2*g**5/15 - 13*g**4/45 - 4*g**3/45 + g**2/3 + 4*g + 3. Solve b(d) = 0.
-5, -1, 1/3
Let d be 5 - (-7 - (-3 + -1)). Let x be -4 + 2 + d + (-2 - 0). Suppose -56/15*k**x - 64/15*k**2 - 8/15*k - 142/15*k**3 + 0 = 0. Wha