 16 = 0, -y + 4*x + 16 = 0. Let g(t) be the first derivative of -8/3*t + 2/3*t**3 + y*t**2 - 1 - 1/6*t**4. Solve g(o) = 0 for o.
-1, 2
Let w(d) = -3*d**2 - 59*d - 17. Let k be w(-20). Let q be 0/k*(-1)/(2 - 1). Find o such that 1/2*o**2 + 0*o + q - 1/2*o**3 = 0.
0, 1
Let s = -17699 - -17711. Solve 3/2*g**3 + 15/2*g**2 + s*g + 6 = 0 for g.
-2, -1
Let g = -18 - -29. Suppose 0 = 5*h - 4*n - 10, 0 = 4*h - n + 3 - g. Factor 3*k**5 - 3*k**4 - h*k**4 - 4*k**3 - 4*k**5 + k**4.
-k**3*(k + 2)**2
Let s(a) be the first derivative of -3*a**4/4 + 4*a**3 - 15*a**2/2 + 6*a + 7. Suppose s(c) = 0. Calculate c.
1, 2
Let h(i) be the second derivative of i**6/225 + i**5/150 - i**4/45 - 113*i. Solve h(q) = 0 for q.
-2, 0, 1
Let t(a) be the second derivative of 0 + 40*a - 1/40*a**5 + 0*a**2 - 25/12*a**3 + 5/12*a**4. Factor t(l).
-l*(l - 5)**2/2
Factor 46*f + 6 - 85/2*f**2.
-(5*f - 6)*(17*f + 2)/2
Determine z so that -276*z**4 - 6*z**3 - 274*z**4 + 547*z**4 + 84 + 81*z**2 - 156*z = 0.
-7, 1, 2
Let j be 2/((3/(-6))/(-1)). Factor -8*c**4 + 7*c**4 + 8*c**2 + 2*c**4 - 5*c**3 + 0*c**3 - j*c.
c*(c - 2)**2*(c - 1)
Let b(q) be the second derivative of q**6/150 - 13*q**5/100 - 21*q**4/20 - 83*q**3/30 - 17*q**2/5 - 57*q - 3. What is a in b(a) = 0?
-2, -1, 17
Factor 1/4*b**3 - 5/4 + 5/4*b**2 - 1/4*b.
(b - 1)*(b + 1)*(b + 5)/4
Let n be 3/(-9) + ((-1027)/(-273) - 3). Solve -n*a**3 - 3/7*a + 0 - 6/7*a**2 = 0.
-1, 0
Let v(g) be the third derivative of -g**5/30 - 5*g**4/6 - 3*g**3 - 182*g**2 - 2. Suppose v(m) = 0. What is m?
-9, -1
Let u be (-7)/(441/1302) + 21. Factor u*j**5 + 0*j + 0 + 1/3*j**2 + j**4 + j**3.
j**2*(j + 1)**3/3
Suppose 4/11*r + 0 - 4/11*r**4 + 4/11*r**2 - 1/11*r**5 - 3/11*r**3 = 0. What is r?
-2, -1, 0, 1
Suppose 3*k - 44 = -20. Suppose n = k - 6. Let 4*b**3 + b**3 - b**5 - 14*b**5 + 20*b**4 - 10*b**n = 0. Calculate b.
-2/3, 0, 1
Suppose 532 = 13*d - 248. Let -300 - 2*p**2 + 0*p**2 + 5*p**2 - d*p - 6*p**2 = 0. Calculate p.
-10
Let v(n) be the second derivative of 7*n**5/90 + 8*n**4/27 - 17*n**3/27 - 2*n**2/3 + 76*n. Factor v(r).
2*(r - 1)*(r + 3)*(7*r + 2)/9
Let d(b) be the second derivative of 18/7*b**4 - 6/7*b**5 + 0 + 10*b - 24/7*b**2 + 1/10*b**6 - 16/7*b**3. Suppose d(n) = 0. What is n?
-2/7, 2
Suppose 110*p + 2175 = 14*p + 2463. Find k such that -18/7 + 22/7*k**2 + 24/7*k + 4/7*k**p = 0.
-3, 1/2
Let b(m) be the second derivative of 0 - 1/30*m**4 + 8/15*m**3 - 16/5*m**2 - 3*m. Solve b(h) = 0.
4
Let d(q) be the second derivative of q**7/9 - 2*q**6/3 + q**5/2 + 20*q**4/9 - 4*q**3/3 - 39*q - 1. Determine z, given that d(z) = 0.
-1, 0, 2/7, 2, 3
Let i(s) = 2*s + 4. Let h be i(3). Let o be (12/h)/((-18)/(-60)). Factor -5 + 5 - 14*q**2 + 0*q + 14*q**4 - 4*q**3 + o*q.
2*q*(q - 1)*(q + 1)*(7*q - 2)
Solve 20/7*p**2 + 6*p + 16/7*p**4 - 36/7 - 40/7*p**3 - 2/7*p**5 = 0.
-1, 1, 2, 3
Let f(r) be the second derivative of r**7/420 - r**6/240 - r**5/120 + r**4/48 + 9*r**2/2 + 13*r. Let p(s) be the first derivative of f(s). Factor p(m).
m*(m - 1)**2*(m + 1)/2
Suppose 216*x = 221*x. Let d(h) be the second derivative of x*h**3 + 0 + 0*h**5 + 1/15*h**6 + 7*h - 1/3*h**4 + h**2. Factor d(p).
2*(p - 1)**2*(p + 1)**2
Let r(p) be the third derivative of 0*p**3 + 0*p**5 + 1/24*p**6 - 5/24*p**4 + 0*p + 19*p**2 + 0. Find h such that r(h) = 0.
-1, 0, 1
Let m(o) be the third derivative of o**5/36 + 55*o**4/72 - 65*o**3/9 - 70*o**2. What is p in m(p) = 0?
-13, 2
Let p(r) be the first derivative of r**6/24 - 3*r**5/5 + 27*r**4/8 - 9*r**3 + 81*r**2/8 - 616. Factor p(o).
o*(o - 3)**4/4
Find k, given that 4*k + 21*k**3 - 4*k**3 + 9*k**2 + k**4 - 12*k**3 + k**3 = 0.
-4, -1, 0
Solve 21*v**4 - 344*v + 24*v**2 + 22*v**3 - 25*v**4 + 344*v - 2*v**5 = 0 for v.
-4, -1, 0, 3
Let v(l) be the first derivative of 10*l**3/57 + 4*l**2/19 + 121. Factor v(x).
2*x*(5*x + 4)/19
Let w be 309/21*1 - 18/(-63). Suppose 4*a - w - 1 = 0. Let 0 + 0*o**3 + 2/5*o + 1/5*o**a - 3/5*o**2 = 0. What is o?
-2, 0, 1
Let a = 255 + -507/2. Let f(o) be the first derivative of 0*o + 9 + o**3 + a*o**2. Determine s so that f(s) = 0.
-1, 0
Let f(v) = -v**3 + 6*v**2 - 3*v + 4. Suppose 0 = 8*s - 4*s - 12. Let z(k) = k**3 - 5*k**2 + 3*k - 3. Let n(u) = s*z(u) + 2*f(u). Factor n(o).
(o - 1)**3
Let z(p) be the first derivative of -25*p**6/8 - 12*p**5 + 99*p**4/8 + 52*p**3 - 507*p**2/8 - 9. Suppose z(y) = 0. What is y?
-13/5, 0, 1
Let a(o) be the first derivative of -1/5*o**5 + 0*o + 3/4*o**2 + 34 + 4/3*o**3 + 3/8*o**4. What is b in a(b) = 0?
-1, -1/2, 0, 3
Let f(s) = -s + 8. Let t be f(5). Solve -d**4 + 6*d**t - 4*d**4 - 3*d**2 + 4*d**4 - 2*d**4 = 0.
0, 1
Let f(j) be the third derivative of j**6/60 + 7*j**5/30 - 2*j**4 - 60*j**3 + 443*j**2. Let f(a) = 0. Calculate a.
-6, 5
Let z(x) = 10*x - 50. Let u be z(-11). Let k = 323/2 + u. Find l such that 9/4*l**2 + 0 + 3/4*l**3 + k*l = 0.
-2, -1, 0
Let b = 16 + -7. Determine s so that -2*s**3 - 3 + 0*s**3 - 9*s**2 - s**3 - b*s = 0.
-1
Factor -200/3 + 80*i - 14*i**2 + 2/3*i**3.
2*(i - 10)**2*(i - 1)/3
Determine i so that -1/5*i**4 + 4/5*i - 24/5 + 2*i**2 - 1/5*i**3 = 0.
-3, -2, 2
Let k(u) be the third derivative of 0*u + 4*u**2 + 0 - 7/40*u**5 - 1/80*u**6 + 4*u**3 - 1/2*u**4. Factor k(d).
-3*(d - 1)*(d + 4)**2/2
Let u(k) be the first derivative of 1/2*k**3 + 3/20*k**5 + 2*k + 4 + 0*k**2 - 1/2*k**4. Let o(x) be the first derivative of u(x). Factor o(g).
3*g*(g - 1)**2
Factor 5*q**2 - 3*q**2 + 16900 + 2*q**2 + 520*q.
4*(q + 65)**2
Let g(r) be the first derivative of -r**4/26 - 154*r**3/39 + 74. Determine m, given that g(m) = 0.
-77, 0
Let d(j) = -j**2 - 33*j - 62. Let u be d(-2). Suppose 6/17*m**2 - 2/17*m + u - 4/17*m**3 = 0. Calculate m.
0, 1/2, 1
Factor -110*c**2 - 121*c**4 - 191*c**2 - 1 + 80*c**2 + 440*c**3 - 91*c**2 - 160*c - 15.
-(c - 2)**2*(11*c + 2)**2
Suppose 15 = d - 4*m, -106 + 79 = -4*d + 5*m. Let g(h) = h**2 + 11*h - 12. Let b be g(-12). Find w, given that b - 3/7*w**d + 0*w + 3/7*w**2 = 0.
0, 1
Factor -6/5*r + 3/5*r**2 + 6/5*r**3 + 0 - 3/5*r**4.
-3*r*(r - 2)*(r - 1)*(r + 1)/5
Let f be 1*4 - 108/6. Let a = 26 + f. Determine x, given that -9*x**2 - 12*x**3 - 20 + a*x - 3*x**4 + 34 - 2 = 0.
-2, -1, 1
Let o(r) = -r**3 - 10*r**2 + 16*r + 26. Let g(j) = -j**3 - 2. Let p(k) = -2*g(k) - 2*o(k). Factor p(i).
4*(i - 2)*(i + 1)*(i + 6)
Let n be (2 - (-36)/(-8))*-6. Let k = n + -5. Find y, given that -k - 7 - 15*y**3 - 17*y - 51*y**2 + 5 - 31*y = 0.
-2, -1, -2/5
Let j(y) be the first derivative of y**6/42 + y**5/35 - 3*y**4/28 - y**3/21 + y**2/7 - 166. Solve j(c) = 0.
-2, -1, 0, 1
Let q be 146 + ((-20)/4 - -9). Let w be (3/q*-4)/(1/(-15)). Factor 0 - w*x**4 + 0*x**2 + 2/5*x**5 + 4/5*x**3 + 0*x.
2*x**3*(x - 2)*(x - 1)/5
Let d(f) be the second derivative of -f**7/231 - 4*f**6/165 - 2*f**5/55 + f**4/33 + 5*f**3/33 + 2*f**2/11 - 7*f + 2. Let d(h) = 0. What is h?
-2, -1, 1
Factor -5/2*w**2 + 0 + 5/2*w.
-5*w*(w - 1)/2
Find d, given that 88*d + 48 - 2/3*d**5 - 8*d**4 + 76/3*d**2 - 22*d**3 = 0.
-6, -1, 2
Let l(i) be the third derivative of -i**8/1680 + 2*i**7/315 - i**6/36 + i**5/15 + 5*i**4/8 + 5*i**2. Let c(p) be the second derivative of l(p). Factor c(a).
-4*(a - 2)*(a - 1)**2
Suppose 3*n = 0, 3*j - 25 = -4*n + 35. Find s such that -2*s**2 + 15*s**4 - 40*s - s**2 + 14*s**2 - j - 6*s**2 + 40*s**3 = 0.
-2, -1, -2/3, 1
Let l(g) = 72*g - 2083. Let y be l(29). Let 25/4*r - 5/4*r**2 - y = 0. What is r?
1, 4
Determine d so that -88*d - 15*d**2 + 39*d**2 + 4*d**3 - 164*d + 432 = 0.
-12, 3
Let a(l) be the first derivative of l**4 + 48*l**2 - 44/3*l**3 + 17 + 144*l. Solve a(w) = 0.
-1, 6
Let s(f) = -10*f**3 + 2*f**2 - 304*f + 672. Let v(n) = n**3 + 2*n**2. Let h(b) = -s(b) - 12*v(b). Factor h(j).
-2*(j - 4)**2*(j + 21)
Let o(a) = 5*a**5 + a**4 + 12*a**3 + 4*a**2 + 4. Let k(q) = q**5 - q**4 + 2*q**3 + q**2 + 1. Let d(h) = 4*k(h) - o(h). Determine u so that d(u) = 0.
-4, -1, 0
Let a = 211 + -214. Let i be 3/9 + 4/a + 4. Factor 8/5*w - 28/5*w**2 + 4*w**i + 0.
4*w*(w - 1)*(5*w - 2)/5
Let d = -1409 + 2819/2. Let a(q) be the first derivative of 0*q**3 + d*q**2 - 10 - 2/3*q - 1/12*q**4. Find j, given that a(j) = 0.
-2, 1
Suppose 9 = o - y, 3*y + 35 = 4*o + o. Let f(j) be the second derivative of 3*j + 0*j**3 + 1/24*j**o - 1/15*j**6 + 3/40*j**5 + 0*j**2 + 0. Solve f(u) = 0.
-1/4, 0, 1
Let k(u) be the third derivative