t is w?
0
Suppose -480/7 + 18/7*v**3 + 888/7*v - 264/7*v**2 = 0. What is v?
2/3, 4, 10
Let j(y) be the third derivative of 0*y + 2/15*y**5 + 0 + 11/12*y**4 + 14*y**2 - y**3. What is k in j(k) = 0?
-3, 1/4
Let x(f) be the first derivative of -1/21*f**3 - 16/7*f + 4/7*f**2 + 6. Let x(j) = 0. Calculate j.
4
Let k(y) be the third derivative of -11*y**6/200 + 17*y**5/50 - 3*y**4/40 - 24*y**2 - 1. Let k(i) = 0. Calculate i.
0, 1/11, 3
Let y = 49693/380 - 2607/20. Determine k so that -6/19*k**3 - 16/19*k - 22/19*k**2 + y = 0.
-2, 1/3
Let k(z) be the second derivative of -1/4*z**4 + 0*z**3 + z + 0*z**2 + 0 + 3/20*z**5. Solve k(a) = 0 for a.
0, 1
Let n = -1435 + 1435. Factor 0*q - 8/5*q**2 + n - 4/5*q**4 + 12/5*q**3.
-4*q**2*(q - 2)*(q - 1)/5
Let d be ((-5)/25)/((-2)/10). Suppose 4*k = -2*v + 13 - d, 0 = -2*k - 3*v + 10. Find t such that 2*t + 6/5*t**k - 2/5*t**4 - 2/5*t**3 + 4/5 = 0.
-1, 2
Let q = -1179 + 1183. Let a(s) be the first derivative of -8*s + s**q + 10*s**2 + 9 - 16/3*s**3. Factor a(z).
4*(z - 2)*(z - 1)**2
Let c be (29 + -19)*(-2)/(-4). Find g, given that -5*g**2 + c*g**4 + 3*g**3 + 2*g**3 + 6*g - 11*g = 0.
-1, 0, 1
Factor -4*c - 14/3*c**2 + 0 - 2/3*c**3.
-2*c*(c + 1)*(c + 6)/3
Factor -32/7 - 2/7*q**2 + 34/7*q.
-2*(q - 16)*(q - 1)/7
Determine y so that 292 - 272*y**2 + 11*y**3 - 251 + 1136*y - 1193 - 15*y**3 = 0.
-72, 2
Let x(o) be the first derivative of -2*o**3/21 + 16*o**2/7 + 34*o/7 + 592. Factor x(k).
-2*(k - 17)*(k + 1)/7
Let j(p) be the third derivative of -p**5/60 + 11*p**4/24 - 3*p**3 + 115*p**2. Factor j(z).
-(z - 9)*(z - 2)
Let -8/3*j**5 - 16/3*j**2 + 14/3*j**4 + 4/3*j + 2/3 + 4/3*j**3 = 0. Calculate j.
-1, -1/4, 1
What is y in -104 - y**2 + 101*y**2 + 11347*y + 4*y**4 - 11407*y + 60*y**3 = 0?
-13, -2, -1, 1
Let t(x) be the second derivative of -1/6*x**4 + 0 + 0*x**2 - 9*x + 2/3*x**3. Solve t(p) = 0 for p.
0, 2
Let m = -18 - -26. Let j = 10 - m. Factor -10*r - 12*r**j + 20*r - 3*r**2.
-5*r*(3*r - 2)
Suppose -4*y + 3*n = 0, 8*n = -4*y + 4*n + 28. Let m = 5 - y. Find t, given that 4*t**2 + t**3 - t**4 - t**m - t**2 = 0.
-1, 0, 2
Factor -5*u**3 + 0*u**3 - 73*u**2 - u**3 + 59*u**2 - 4*u.
-2*u*(u + 2)*(3*u + 1)
Factor 0 + 0*r - r**2 - 3/4*r**4 + 1/8*r**5 + 3/2*r**3.
r**2*(r - 2)**3/8
Let o(t) = 2*t**2 + 10*t - 10. Let w be o(-6). Factor -2*l**2 - 5*l**3 + 0*l**4 + w*l**2 - 5*l**4.
-5*l**3*(l + 1)
Let o = 1/103 - -67/3708. Let x(b) be the third derivative of 0 - 1/90*b**5 + 6*b**2 + o*b**4 + 0*b + 2/9*b**3. Factor x(f).
-2*(f - 2)*(f + 1)/3
Suppose -14*x + 19*x = 60. Let y be -2 + 26/x + 402/180. Factor -12/5*u + y - 21/5*u**2 - 6/5*u**3.
-3*(u + 2)**2*(2*u - 1)/5
Let f(k) be the third derivative of 1/48*k**4 + 16*k**2 + 0*k**3 + 0 + 0*k + 7/360*k**5 + 1/360*k**6. Factor f(r).
r*(r + 3)*(2*r + 1)/6
Let z be (0/(5 + -2))/2. Suppose 4/5*o**4 + 4/5*o**5 + z + 8/5*o - 12/5*o**3 - 4/5*o**2 = 0. Calculate o.
-2, -1, 0, 1
Let g(n) be the second derivative of 5/48*n**4 + 3/8*n**2 + 0 - 13*n + 3/80*n**5 - 11/24*n**3. Factor g(v).
(v - 1)*(v + 3)*(3*v - 1)/4
Let g(d) be the third derivative of -d**5/50 - 47*d**4/180 - 2*d**3/9 + 50*d**2. What is h in g(h) = 0?
-5, -2/9
Let o(t) be the second derivative of 8/5*t**6 + 15/14*t**7 - 4*t**4 + 0*t**2 - 33/20*t**5 - 11*t + 0 - 2*t**3. Let o(s) = 0. What is s?
-1, -2/3, -2/5, 0, 1
Let p(l) be the first derivative of -l**5/15 + l**4/12 + l**3/3 - l**2/6 - 2*l/3 + 128. Factor p(o).
-(o - 2)*(o - 1)*(o + 1)**2/3
Let g(r) = -49*r**2 - 734*r + 17. Let z be g(-15). Suppose -3/2*x**z + 6 - 9/2*x = 0. What is x?
-4, 1
Let u be (-1 - -1)/((-2)/(-1)). Suppose -5 = j, 3*t - 7 = -j - u*j. Factor 22*h**2 - 22*h**2 + 4*h - t*h**3.
-4*h*(h - 1)*(h + 1)
Let i(r) be the third derivative of -1/8*r**4 + 0*r**3 + 0 - 2*r**2 + 1/60*r**5 + 0*r. Factor i(p).
p*(p - 3)
Let g be -1 + -5 + 370/60. Let w(i) be the first derivative of g*i**6 + 19/4*i**4 - 4*i - 7/5*i**5 - 25/3*i**3 + 8*i**2 + 6. Determine v so that w(v) = 0.
1, 2
Solve 2/7*h**5 + 6/7*h**3 - 10/7*h**2 + 10/7*h**4 + 0 - 8/7*h = 0 for h.
-4, -1, 0, 1
Factor 129*d - 105*d + 2*d**2 + 54*d + 148.
2*(d + 2)*(d + 37)
Suppose 25 = 3*p + 426*k - 431*k, -p + k = -5. Suppose 3/7 - 6/7*g**3 - 3/7*g**4 + 6/7*g + p*g**2 = 0. Calculate g.
-1, 1
Let q(j) be the third derivative of 1/78*j**5 - 5/156*j**6 + 0*j + 4/39*j**4 + 0 - 8*j**2 + 4/39*j**3. Let q(w) = 0. Calculate w.
-2/5, 1
Suppose -40 = 2*y + 5*h - 159, h = -2*y + 115. Let n be (-19)/y + (-1)/(-3). Factor n - 2/5*d**2 + 2/15*d.
-2*d*(3*d - 1)/15
Let d be ((-48)/(-10))/3*43/((-946)/(-55)). Factor 10/3*w**3 - 2/3*w**d + 14/3*w - 6*w**2 - 4/3.
-2*(w - 2)*(w - 1)**3/3
Let t be -10 - (-6 + 180/(-44)). Let j(i) be the second derivative of 0 + t*i**2 + 1/33*i**4 + 1/11*i**3 - 3*i. Factor j(m).
2*(m + 1)*(2*m + 1)/11
Let v(b) be the third derivative of -b**5/75 - 2*b**4/15 + 2*b**3/3 - 105*b**2. Factor v(x).
-4*(x - 1)*(x + 5)/5
Let s(u) = 5*u**2 + 5*u - 10. Let x(n) = 56*n**2 + 56*n - 112. Let d(q) = -68*s(q) + 6*x(q). Factor d(r).
-4*(r - 1)*(r + 2)
Let h(f) = f**2 - 3*f + 2. Let t be h(3). Suppose -2*j + 16 = t*j. Find c such that 4*c**2 - 57*c**j - 6*c**3 - c + 0*c + 61*c**4 - c**5 = 0.
0, 1
Let w be ((-2)/(-27))/(((-1360)/15)/(-8)). Let k = w + 607/765. Factor 0 - k*c**4 + 0*c**2 + 16/5*c - 12/5*c**3.
-4*c*(c - 1)*(c + 2)**2/5
Suppose 7*q - 11*q = -20. Suppose 0 = -q*c + 3*c + 6. Let a**2 + a**3 - 4*a**3 + c*a + 0*a**3 + a**4 - 2 = 0. Calculate a.
-1, 1, 2
Let w(n) = -46*n - 484. Let k(i) = -9*i - 97. Let v(o) = -14*k(o) + 3*w(o). Let l be v(-8). Solve -4/5*u**3 + 0*u**2 + 14/5*u**4 + 0 - l*u**5 + 0*u = 0.
0, 2/5, 1
Let h(g) be the second derivative of -g**5/30 + g**4/6 + g**3 - 13*g**2/2 - 5*g. Let v(b) be the first derivative of h(b). Factor v(m).
-2*(m - 3)*(m + 1)
Suppose 151 - 151 = 21*f. What is n in 0 + 0*n**2 - 12*n**4 + f*n + 6/5*n**5 + 30*n**3 = 0?
0, 5
Let u be (-2)/11 - 38/(-88). Let x = -30 + 33. What is b in -3/4*b**2 + u*b**4 + 0 + 0*b**x + 1/2*b = 0?
-2, 0, 1
Suppose -4*n + 7 + 15 = 2*s, 0 = 3*n + 3*s - 24. Let 5/2*m - 3*m**n - m**2 - 1/2*m**4 + 3/2 + 1/2*m**5 = 0. What is m?
-1, 1, 3
Let h(g) = -g**3 + 10*g**2 - 4. Let u(a) = 9*a**2 - 3. Let p(x) = -x**3 + 5*x**2 + 6*x - 3. Let s be p(6). Let w(m) = s*h(m) + 4*u(m). Factor w(c).
3*c**2*(c + 2)
Let x(d) = -43*d**2 - 100*d - 22. Let z(n) = n**2 - 1. Suppose 2*i + 6 = o + 5, 4*i + 7 = 3*o. Let v(a) = i*z(a) - x(a). Factor v(c).
5*(c + 2)*(9*c + 2)
Let b(y) be the first derivative of 2*y**5/5 + 21*y**4/4 + 44*y**3/3 + 33*y**2/2 + 8*y - 72. Factor b(n).
(n + 1)**2*(n + 8)*(2*n + 1)
Let t(g) be the first derivative of -2*g**5/75 - g**4/2 - 18*g**3/5 - 37*g**2/3 - 20*g - 152. Determine o so that t(o) = 0.
-5, -3, -2
Let i(k) be the third derivative of k**7/420 + 37*k**6/1200 + 3*k**5/200 - 37*k**4/240 - 7*k**3/30 + 802*k**2. Let i(c) = 0. What is c?
-7, -1, -2/5, 1
Let a(p) = -70*p**3 + 155*p**2 + 195*p - 195. Let u(q) = 5*q**3 - 11*q**2 - 14*q + 14. Suppose 3*s - 187 = 68. Let o(k) = s*u(k) + 6*a(k). Factor o(w).
5*(w - 2)*(w - 1)*(w + 2)
Let v(t) be the first derivative of t**5/20 - t**3/2 + t**2 + 9*t - 10. Let a(c) be the first derivative of v(c). Factor a(d).
(d - 1)**2*(d + 2)
Let f be (-959)/2055 + (-4)/(-5). Factor 5/3*v - f*v**2 + 2.
-(v - 6)*(v + 1)/3
Let v(t) be the first derivative of 2*t**3/3 - 7*t**2 - 14*t + 6. Let g be v(8). Determine c, given that g*c + 2/5 + 8/5*c**2 = 0.
-1, -1/4
Let a(n) be the first derivative of -27*n**5/25 + 27*n**4/4 + 75*n**3 + 425*n**2/2 + 250*n - 90. Determine j so that a(j) = 0.
-5/3, 10
Let m(d) = -3*d. Let u be m(-4). Let -15*l + u*l**3 - 6*l**2 + 12*l**4 + 3*l**5 - 8 + 2 + l**4 - l**4 = 0. What is l?
-2, -1, 1
Let m = -110/119 + 669/595. Find x, given that -m*x**3 + 0 + 2/5*x + 1/5*x**2 = 0.
-1, 0, 2
Let y(a) = a**2 - 3*a. Let z be y(4). Factor 23*c**3 - 4*c**z - 15*c**3 - 12*c**3.
-4*c**3*(c + 1)
Suppose 24 = 6*b - 2*b. Determine f so that -3*f**5 + 55*f**2 - 49*f**2 + 6*f**5 - b*f**4 - 3*f = 0.
-1, 0, 1
Let h be (-5 - -7) + (0 - 0). Let k(f) = 2*f**2 - 8*f + 10. Let w be k(h). Suppose 26/7*j**3 + 30/7*j**2 + 8/7*j**4 + w*j + 2/7 = 0. What is j?
-1, -1/4
Let p be (-2)/12 + ((-981)/270 - -4). Let y(i) be the first derivative of 0*i - p*i**4 + 0*i**2 + 7 + 2/5*i**5 + 0*i**3 - 1/5*i**6. Factor y(b).
-2*b**3*(b - 1)