3/17
Let g(w) be the first derivative of 2*w**3/21 + 13*w**2/7 + 56. What is y in g(y) = 0?
-13, 0
Let h(i) be the first derivative of 10 + 1/20*i**4 - 2/5*i + 0*i**3 - 3/10*i**2. Factor h(l).
(l - 2)*(l + 1)**2/5
Let t(u) be the third derivative of u**9/90720 - u**8/10080 - u**7/1890 - 17*u**5/60 - 29*u**2. Let w(a) be the third derivative of t(a). Solve w(y) = 0 for y.
-1, 0, 4
What is a in 3*a**2 + 7/2*a + 1/2 = 0?
-1, -1/6
Let p(q) be the third derivative of -q**8/224 + q**7/420 + 23*q**6/240 + 11*q**5/120 - 5*q**4/12 - q**3 - 19*q**2 - 2. Suppose p(w) = 0. Calculate w.
-2, -1, -2/3, 1, 3
Let h(v) be the third derivative of -1/10*v**5 + 1/15*v**6 - 1/105*v**7 + 0 + 0*v**3 - v**2 + 0*v**4 + 0*v. Suppose h(q) = 0. What is q?
0, 1, 3
Let z be (-10)/42*3/(-90). Let t(k) be the second derivative of -5*k + 0*k**3 - 1/36*k**4 - 1/60*k**5 + 1/90*k**6 + 0 + 0*k**2 + z*k**7. Factor t(f).
f**2*(f - 1)*(f + 1)**2/3
Solve -4/11*t**5 + 4/11*t**2 + 0*t - 21/11*t**3 + 21/11*t**4 + 0 = 0.
0, 1/4, 1, 4
Let l(o) be the second derivative of 1/10*o**5 + 0 + 17*o - 1/15*o**6 + 0*o**3 + 0*o**2 + 1/6*o**4 - 1/21*o**7. Factor l(g).
-2*g**2*(g - 1)*(g + 1)**2
Suppose -2*u - 5 = 2*w - 3, w + 3*u = -9. Let a(l) = 4*l**2 + l + 1. Let q be a(-3). Factor 24*t + 4*t**w - 35*t**2 - 32 + q*t + 11*t**2 - 10*t.
4*(t - 2)**3
Let s(c) = -3*c**2 + 0 + 2*c - 3 - 15*c. Let u(w) = -w**2 - 4*w - 1. Suppose 0 = -51*a + 19*a + 192. Let l(d) = a*s(d) - 21*u(d). Let l(o) = 0. Calculate o.
-1
Let m(r) be the second derivative of -r**8/6720 - r**7/1890 + r**6/2160 + r**5/180 + 2*r**4/3 + 18*r. Let q(s) be the third derivative of m(s). Factor q(x).
-(x + 1)**2*(3*x - 2)/3
Let q(z) be the first derivative of 3/2*z - z**4 + 30 + 2*z**2 + 3/10*z**5 - z**3. Find h, given that q(h) = 0.
-1, -1/3, 1, 3
Let g be 4 + (-1)/(-2)*-2. Suppose -g*q + 183 = 5*x - 4*q, -138 = -4*x - 2*q. Factor x + s - 34*s**2 - 6*s + 38*s**2 - 19*s.
4*(s - 3)**2
Let j be (-128)/(-90) + (36/(-81))/2. Factor -3/5 + j*c - 3/5*c**2.
-3*(c - 1)**2/5
Let k(u) be the third derivative of u**5/15 + u**4/24 + 5*u**3/6 + 7*u**2. Let s(g) = g**2 + 1. Let d(t) = -k(t) + 5*s(t). Let d(w) = 0. What is w?
0, 1
Let y(n) = 2*n**4 - 2*n**2. Let v(f) = 9*f**4 + 28*f**3 + 113*f**2 + 158*f + 64. Let l(c) = -2*v(c) + 10*y(c). Factor l(b).
2*(b - 32)*(b + 1)**2*(b + 2)
Let f(w) be the first derivative of -3*w**4/32 + w**3/4 + 184. Let f(z) = 0. Calculate z.
0, 2
Let w be 324856/84*3/13. Let h = w + -892. Factor -2/13 - 4/13*c**2 + h*c.
-2*(c - 1)*(2*c - 1)/13
Let -4/7*p**3 + 12/7*p**2 - 12/7*p + 4/7 = 0. Calculate p.
1
Suppose -16 = -22*g + 18*g. Find r, given that -r**2 + 19*r - 12*r**3 - 7*r - 3*r**2 + 0*r + 4*r**g = 0.
-1, 0, 1, 3
Let z(q) be the second derivative of -1/18*q**3 - 1/6*q**2 - 2*q + 1/36*q**4 + 0 + 1/60*q**5. Let z(s) = 0. What is s?
-1, 1
Suppose -4*q = -6*q + 478. Let s = q + -239. Factor 8/13 + s*l - 2/13*l**2.
-2*(l - 2)*(l + 2)/13
Let r(g) be the third derivative of g**7/245 - g**6/18 + 101*g**5/630 - g**4/9 - 4*g**3/21 + 5*g**2 - 5*g. Let r(c) = 0. What is c?
-2/9, 1, 6
Let s be (1/4)/(945/(-118) + 8). Let q = 37 + s. What is i in q*i**3 + 3*i**2 + 0*i + 9/2*i**4 + 0 = 0?
-1, -2/3, 0
Let n(w) be the second derivative of w**6/120 - 13*w**5/80 + 5*w**4/24 + w**3 - 4*w + 26. Factor n(z).
z*(z - 12)*(z - 2)*(z + 1)/4
Suppose -2*a = -0*a - 24. Factor -2 - 6 + a*l**3 - 214*l**2 + 4*l**4 + 218*l**2 - 12*l.
4*(l - 1)*(l + 1)**2*(l + 2)
Suppose 9/2*s - 4*s**2 + 9 + 1/2*s**3 = 0. Calculate s.
-1, 3, 6
Let h(s) = -s**3 - 4*s**2 - 3*s - 6. Let b be h(-4). Suppose 62*x = 59*x + b. Solve 2/5*l**5 + 0 - 2/5*l + 4/5*l**4 - 4/5*l**x + 0*l**3 = 0 for l.
-1, 0, 1
Let b(f) be the second derivative of f**6/285 + 5*f**5/19 + 97*f**4/114 + 16*f**3/19 - 565*f. Factor b(x).
2*x*(x + 1)**2*(x + 48)/19
Let d(q) be the third derivative of -q**6/30 - 8*q**5/5 + q**2 - 19*q. Solve d(f) = 0.
-24, 0
Let p(y) = -125*y**4 - 85*y**3 + 55*y**2 + 140*y + 15. Let k(j) = 9*j**4 + 6*j**3 - 4*j**2 - 10*j - 1. Let z(a) = 55*k(a) + 4*p(a). Factor z(o).
-5*(o - 1)*(o + 1)**3
Let m = -5 - -7. Suppose m*w + 0*w = 6. Determine v so that 6*v**2 - 4*v**2 + 6*v - w*v**2 - 3 - 2*v**2 = 0.
1
Let d = 136/3 - 45. Suppose c = 3*b - 13, -c + 93 = -2*b + 101. Suppose d*v + 0*v**3 + 2/3*v**2 + 0 - 1/3*v**b - 2/3*v**4 = 0. Calculate v.
-1, 0, 1
Factor 1/3*i**2 + 14/3 - 5*i.
(i - 14)*(i - 1)/3
Let r(y) = y**3 - 11*y**2 - 32*y + 5. Let u be r(13). Let j = -289/4 - u. Factor 3/2*w - j + 3/4*w**4 - 3/2*w**3 + 0*w**2.
3*(w - 1)**3*(w + 1)/4
Let y(i) be the third derivative of -i**8/2184 - 2*i**7/273 - 7*i**6/780 + 3*i**5/65 - 194*i**2. Suppose y(c) = 0. Calculate c.
-9, -2, 0, 1
What is p in 448 - 32*p + 4/7*p**2 = 0?
28
Let b(o) = 3*o**2 - 4*o - 2. Let h be b(2). Find i such that 5*i**4 + h*i**2 + 54*i + 4*i**4 - 18*i**3 + 3*i**5 - 27 + 9*i - 32*i**2 = 0.
-3, 1
What is h in 0*h + 0 + 2/13*h**3 + 0*h**2 + 2/13*h**4 = 0?
-1, 0
Let q(j) be the first derivative of -4/7*j - 2/21*j**3 + 3/7*j**2 - 12. Factor q(b).
-2*(b - 2)*(b - 1)/7
Let v = 461 + -461. Let y(j) be the first derivative of 3/8*j**4 - 9/4*j**2 - j**3 + v*j - 6. Let y(c) = 0. Calculate c.
-1, 0, 3
Solve 36*v - 14 - 3*v**3 + 24 - 3*v**2 - 10 = 0.
-4, 0, 3
Let k(m) be the second derivative of -m**4/12 - 7*m**3/6 + 3*m**2/2 + 7*m. Let z be k(-7). Factor -n**2 + 3*n**2 - 12*n**3 + 9*n**z + n**5.
n**2*(n - 1)**2*(n + 2)
Let k(q) = 2*q**2 - 8*q - 7. Let p be k(-6). Factor p*z**4 + 9*z**3 + 4*z**5 + 4*z**5 - 101*z**4 - 5*z**5.
3*z**3*(z + 1)*(z + 3)
Suppose 215*w - 242*w = -81. Let m(q) be the first derivative of -3 + 9/2*q + 1/10*q**5 - w*q**2 + 1/2*q**4 - 1/3*q**3. Let m(u) = 0. What is u?
-3, 1
Let f(c) be the second derivative of -4*c**7/3 - c**6/15 + c**5/5 - 13*c. Determine p so that f(p) = 0.
-2/7, 0, 1/4
Determine w, given that 12*w**4 + 0 + 4*w - 26/3*w**3 - 50/3*w**2 = 0.
-1, 0, 2/9, 3/2
Let k = 27873/7 - 3979. Factor -4/7*b**2 - k*b - 16/7.
-4*(b + 1)*(b + 4)/7
Let m(v) be the second derivative of -v**8/4200 - v**7/2100 + v**6/900 + v**5/300 + 5*v**3/2 + 11*v. Let x(h) be the second derivative of m(h). Factor x(i).
-2*i*(i - 1)*(i + 1)**2/5
Let g(f) be the second derivative of f**5/30 - f**4/2 + 5*f**3/3 + 9*f**2/2 + 12*f. Let r(b) be the first derivative of g(b). Solve r(j) = 0.
1, 5
What is y in -8*y**2 - 48*y**5 - 12*y + 97*y**4 + 195*y**3 + y**2 + 47*y**4 - 2*y**2 = 0?
-1, -1/4, 0, 1/4, 4
Suppose 3*a = 4*m - m - 6, 0 = -2*m - a - 5. Let z be 14*5/40 + 1*m. Factor 3/2*h**2 - 3/4*h - 3/2 + z*h**3.
3*(h - 1)*(h + 1)*(h + 2)/4
Let d = 87642/36505 + -6/7301. Find s, given that d*s**4 + 9/5*s**3 - 12/5*s**2 - 12/5*s + 3/5*s**5 + 0 = 0.
-2, -1, 0, 1
Let c(q) be the third derivative of q**7/1680 - q**6/240 + q**5/80 + 13*q**4/24 - 9*q**2. Let n(b) be the second derivative of c(b). Solve n(h) = 0.
1
Factor -5*g + 4*g - 1 - 4*g**2 + 3*g + 2*g.
-(2*g - 1)**2
Let h(f) be the first derivative of f**4 - 20*f**3 + 144*f**2 - 432*f - 223. Suppose h(o) = 0. Calculate o.
3, 6
Let w(f) = -f**5 + f**4 - f**3 + f**2 + f + 1. Let a(s) = 24*s**3 + 12*s**2 - 22*s - 18. Let u(d) = a(d) + 2*w(d). Solve u(r) = 0 for r.
-2, -1, 1, 4
Let s = -268 - -805/3. Let r(g) be the first derivative of -g**4 - 4/3*g**3 - 6 + 6/5*g**5 - 2*g - s*g**6 + 3*g**2. Let r(c) = 0. What is c?
-1, 1
Let 32/9*m + 10/9*m**2 - 8/3 - 2/3*m**3 = 0. What is m?
-2, 2/3, 3
Let t(m) be the first derivative of -2/39*m**3 + 0*m + 10 + 2/65*m**5 - 2/13*m**4 + 4/39*m**6 + 0*m**2. Let t(y) = 0. Calculate y.
-1, -1/4, 0, 1
Let p(w) be the third derivative of -w**7/350 + w**6/120 - w**5/200 - 5*w**3/6 + 2*w**2. Let z(s) be the first derivative of p(s). Solve z(c) = 0.
0, 1/4, 1
Suppose y - 4*y = -3. Suppose 2*w - y - 7 = -3*n, -w = 2. Factor n + 10*f**4 - 11*f**4 - 4*f**3 + 0*f**2 + 4*f - 3*f**2.
-(f - 1)*(f + 1)*(f + 2)**2
Let f be (8 - 394/(-6))*3/(-20). Let r = -54/5 - f. Factor r*g**2 + 1/4*g - 1/2.
(g - 1)*(g + 2)/4
Let s(q) be the second derivative of -2*q**6/15 - 8*q**5/5 + 14*q**4/3 + 32*q**3 + 54*q**2 + 48*q + 4. Factor s(c).
-4*(c - 3)*(c + 1)**2*(c + 9)
Let u(v) be the second derivative of 1/4*v**5 + 5/6*v**4 - 5/2*v**3 + 0 - 4*v + 0*v**2. Solve u(n) = 0.
-3, 0, 1
Factor 2/5 + 8/15*o**2 + 26/15*o.
2*(o + 3)*(4*o + 1)/15
Let d(u) be the third derivative of 1/30*u**5