alculate s.
-1, 1/4, 1
Let x(b) be the first derivative of 19 - 2/33*b**3 - 3/11*b**2 - 4/11*b. What is p in x(p) = 0?
-2, -1
Let l be (297/44 - 7)/((-1)/12). Let d(x) be the first derivative of -6*x - x**3 - 9/2*x**2 - l. Determine b, given that d(b) = 0.
-2, -1
Let z(w) be the third derivative of -w**8/84 - 8*w**7/35 + w**6/2 + 26*w**5/15 + 39*w**2 + 4*w. Find t such that z(t) = 0.
-13, -1, 0, 2
Suppose -25*g + 24*g - 3*p = -1, -2*g - 2*p + 6 = 0. Suppose 0 + 2*w - 10/3*w**2 - 2*w**g - 22/3*w**3 = 0. Calculate w.
-3, -1, 0, 1/3
Let h be -6*2*4/(-24). Suppose 20 = h*o - 4*f, 4*o - 3*f + 7*f = -20. Solve 5*v**3 - 4*v + o*v - v**3 = 0.
-1, 0, 1
Determine r, given that -33/5*r - 1/5*r**2 + 34/5 = 0.
-34, 1
Let v(q) be the first derivative of -q**6/6 - 12*q**5/25 - 9*q**4/20 - 2*q**3/15 + 121. What is j in v(j) = 0?
-1, -2/5, 0
Let x(n) be the first derivative of n**7/42 - n**6/8 + 5*n**4/6 - n**2 + 26*n - 10. Let v(o) be the second derivative of x(o). Factor v(a).
5*a*(a - 2)**2*(a + 1)
Let v(z) be the first derivative of 2*z**5/35 - 6*z**4/7 + 36*z**3/7 - 108*z**2/7 + 162*z/7 + 85. Solve v(p) = 0 for p.
3
Let z be ((12/(-2) - -6)/(-2))/2. Let r(c) be the second derivative of 0*c**2 - 1/30*c**5 + 0 + 1/18*c**4 - 8*c + z*c**3. Determine a so that r(a) = 0.
0, 1
Let o be 8/(-4) + 4 + 34. Let q be o/(-15)*2/(-4). Factor q*c + 0*c**2 + 4/5 - 2/5*c**3.
-2*(c - 2)*(c + 1)**2/5
Let f(j) be the third derivative of 13*j**5/270 + 43*j**4/108 + 4*j**3/9 - 200*j**2. Factor f(g).
2*(g + 3)*(13*g + 4)/9
Let m(a) be the third derivative of 5/42*a**7 + 0 - 3*a**2 - 1/6*a**6 + 5/6*a**3 + 0*a - 1/2*a**5 + 5/6*a**4. Factor m(n).
5*(n - 1)**2*(n + 1)*(5*n + 1)
Factor -164784*y**2 - 63356915 - 279517890 - 124455*y**2 + 15071420*y + 40809*y**2 - 5*y**4 + 1820*y**3.
-5*(y - 91)**4
Let o(l) = -9*l**5 - 12*l**4 + 3*l**3 + 12*l**2 - 6. Let k = 23 - 17. Let r(p) = -p**5 - 1. Let c(h) = k*r(h) - o(h). Let c(t) = 0. What is t?
-4, -1, 0, 1
Let a be (0 - -2)*(7 + -5). Factor 4*m**5 + a*m**4 - 8*m**3 + 4 - 4.
4*m**3*(m - 1)*(m + 2)
Suppose 2*r - 31 - 1 = -2*y, -5*r - y = -96. Let x be (r/135)/(6/9). Suppose -x*q**2 + 0 + 0*q = 0. What is q?
0
Let q(l) be the second derivative of l**6/30 + l**5/5 - l**4/4 - 7*l**3/3 - 4*l**2 - 56*l. Factor q(x).
(x - 2)*(x + 1)**2*(x + 4)
Let c(q) be the first derivative of -q**7/357 - q**6/85 - 3*q**5/170 - q**4/102 + 3*q - 21. Let k(i) be the first derivative of c(i). What is j in k(j) = 0?
-1, 0
Let r(f) be the second derivative of 0 - 1/10*f**3 + 1/25*f**6 + 0*f**5 - 1/10*f**4 - 27*f + 1/70*f**7 + 0*f**2. Determine i, given that r(i) = 0.
-1, 0, 1
Let d = -15644 - -15646. Solve -4/5*y**3 - y**d - 1/5*y**4 + 0 - 2/5*y = 0 for y.
-2, -1, 0
Let y be 8/6*(-54)/4. Let l = -15 - y. Factor 2*g**2 + 21*g**3 + 11*g**4 + 13*g**2 - 2*g**4 + l*g.
3*g*(g + 1)**2*(3*g + 1)
Suppose -9*c - 32 = -11*c. Let y = c + -13. Factor 3*h**2 - h - 6*h + h + 3*h**y.
3*h*(h - 1)*(h + 2)
Determine n, given that -133*n**3 + 30 - 132*n**3 + 40*n**2 - 65*n + 260*n**3 = 0.
1, 6
Let v = 134 + -1204/9. Let r(u) be the second derivative of -1/3*u**2 + 0 + v*u**3 + u + 1/6*u**4. Find x, given that r(x) = 0.
-1, 1/3
Determine c so that 4/9 + 14/9*c**2 - 2*c = 0.
2/7, 1
Let h(u) be the first derivative of u**3/3 - 7*u**2/2 + 4*u + 6. Let w be h(7). Find q, given that 0*q**3 - 2*q**4 + 2*q**w + 4*q**2 + 10*q**4 - 14*q**3 = 0.
0, 2/5, 1
Let u(g) = 3*g**2 + 16*g + 13. Let a(r) be the second derivative of -r**4/4 - 5*r**3/2 - 6*r**2 + 2*r - 3. Let s(j) = -4*a(j) - 3*u(j). Factor s(c).
3*(c + 1)*(c + 3)
Let d be 48/20 + -3 + 26/10. Let k(o) = o**3. Suppose j - 4*l = -2*j + 87, -l = -3. Let t(y) = -15*y**3. Let u(q) = d*t(q) + j*k(q). Factor u(z).
3*z**3
Factor -3/7*z**3 + 6*z**2 + 0*z + 0.
-3*z**2*(z - 14)/7
Let d be (98/(-805))/(2/50). Let w = d + 579/92. Factor 0 - 15/4*t**3 - w*t**4 - 7/4*t**2 - 1/4*t - t**5.
-t*(t + 1)**3*(4*t + 1)/4
Determine p, given that 0*p**2 + 0 + 0*p + 2/3*p**3 - 2/3*p**4 = 0.
0, 1
Let l(o) be the third derivative of 6*o**7/245 - 7*o**6/10 + 43*o**5/105 + 79*o**4/42 + 32*o**3/21 - 106*o**2. Solve l(z) = 0 for z.
-1/3, 1, 16
Let g(z) be the first derivative of -z**4/2 - 2*z**3/3 - 158. Factor g(s).
-2*s**2*(s + 1)
Let h(y) be the third derivative of y**5/9 + 29*y**4/18 + 8*y**3 - 32*y**2 - 3*y. Factor h(d).
4*(d + 4)*(5*d + 9)/3
Suppose 0 = -5*l + 52 - 7. Suppose 4*z = 7*z - l. Solve 49*d**3 - 3*d**2 + 2*d + z*d**2 - d**2 - 51*d**3 + d**4 = 0 for d.
-1, 0, 1, 2
Let y(x) be the first derivative of 1/6*x**6 + 1 + 0*x**2 - 3/5*x**5 + 3/4*x**4 - 1/3*x**3 + 0*x. Let y(g) = 0. Calculate g.
0, 1
Let o(s) be the second derivative of s**6/10 + 12*s**5/5 + 45*s**4/2 + 100*s**3 + 375*s**2/2 + 167*s. Factor o(m).
3*(m + 1)*(m + 5)**3
Let s(i) be the first derivative of i**6/3 + 12*i**5 + 180*i**4 + 1440*i**3 + 6480*i**2 + 15552*i - 43. Factor s(f).
2*(f + 6)**5
Let p be 2 - (-32)/120*(-15)/6*2. Suppose -p*o**2 + 0*o + 0 = 0. Calculate o.
0
Let g(i) = -i**2 + 7*i + 6. Let q be g(7). Suppose -d = 5*b - q, 0*d - 2 = 3*b + 2*d. Factor -v**2 + 1 + 1 + 5*v - 6*v**b.
-(v - 1)*(7*v + 2)
Let c be 180/495*-11 + ((-44)/(-9))/1. Suppose s + 0*s - 2 = 0. Factor c + 2/9*z**s + 8/9*z.
2*(z + 2)**2/9
Let g(c) = 29*c + 1539. Let u be g(-53). Factor 8/7 - 4/7*a - 4/7*a**u.
-4*(a - 1)*(a + 2)/7
Let o be -3 + (0 - 0) - (-8 - 5). Suppose -t - o*t = -8*t. Factor -12*c**2 + t - 8/5*c - 30*c**3 - 25*c**4.
-c*(5*c + 2)**3/5
Let h be 5/(50/40) - -1. Let a(c) be the second derivative of 0*c**2 + 0 + 0*c**3 + 1/70*c**6 + 2*c + 0*c**h + 0*c**4. Factor a(d).
3*d**4/7
Let m(z) be the third derivative of z**7/7560 + z**6/270 - z**4/4 + 15*z**2. Let i(h) be the second derivative of m(h). Let i(o) = 0. What is o?
-8, 0
Let w = 2/2825 - -563/2825. Let 2/5*v**2 + 0*v + 0 - w*v**3 = 0. Calculate v.
0, 2
Factor 0*k**3 + 0*k + 0 - 4/7*k**4 + 0*k**2.
-4*k**4/7
Suppose 0*m + 0 - 6*m**4 - 96/5*m**3 - 3/5*m**5 - 96/5*m**2 = 0. Calculate m.
-4, -2, 0
Let p(s) be the third derivative of -s**7/2520 + s**6/144 - s**5/30 - s**4/12 - 17*s**2. Let b(t) be the second derivative of p(t). Let b(i) = 0. Calculate i.
1, 4
Let p(w) be the first derivative of w**4/20 - 2*w**3/15 - w**2/10 + 2*w/5 + 76. Solve p(x) = 0.
-1, 1, 2
Find i, given that -14/3*i**2 + 8/3*i + 0 = 0.
0, 4/7
Suppose 3*g + 15 = -3*a, 0*g - 3*a - 7 = g. Let c be g/(-26) + (4/312 - 0). Factor c*v + 0 - 1/6*v**2.
-v*(v - 1)/6
Let a(x) be the second derivative of x**4/4 - 19*x**3/18 + x**2/3 - 191*x. Find k such that a(k) = 0.
1/9, 2
Suppose 3*z - 142 = -29*z - 39*z. Determine j, given that -2/5*j**z - 1/5*j + 2/5 + 1/5*j**3 = 0.
-1, 1, 2
Suppose -32/7*x**2 + 0 + 4/7*x**3 + 64/7*x = 0. What is x?
0, 4
Let z = -21 - -34. Let c(n) = n**2 - 12*n - 11. Let s be c(z). Solve 1/2*u**s - u + 1/2 = 0 for u.
1
Factor 2/5*m**2 - 4/5*m - 6/5.
2*(m - 3)*(m + 1)/5
Factor 12/13 + 0*w**2 - 14/13*w + 2/13*w**3.
2*(w - 2)*(w - 1)*(w + 3)/13
Let d(g) be the third derivative of g**7/945 + 4*g**6/45 + 22*g**5/9 + 484*g**4/27 - 306*g**2. Solve d(j) = 0.
-22, -4, 0
Let m(k) be the second derivative of k**7/105 - 44*k**6/225 + 33*k**5/50 - 17*k**4/45 - 8*k**3/15 - 62*k. Suppose m(p) = 0. Calculate p.
-1/3, 0, 1, 2, 12
Let s(g) be the first derivative of 2*g**3/15 - 41*g**2/5 + 156*g/5 + 257. Determine n so that s(n) = 0.
2, 39
Let c(z) = 52*z**2 - 409*z - 53. Let g be c(8). Factor -2*h**g + 18/5*h**2 + 2/5*h**4 + 4/5 - 14/5*h.
2*(h - 2)*(h - 1)**3/5
Suppose 341 = -5*n + 5*j - 4*j, 5*n = -4*j - 336. Let a be (n/20 + 3)/((-6)/5). Factor 1/3*c**3 + 1/3*c**2 - 1/3 - a*c.
(c - 1)*(c + 1)**2/3
Let g = -1018/39 + 348/13. Let r be (-4)/(-4) + 1/(-3). Find f such that 2/3*f**2 - r + 2/3*f - g*f**3 = 0.
-1, 1
Solve -200/11*g**2 - 74/11*g - 8/11 + 208/11*g**4 + 160/11*g**5 - 86/11*g**3 = 0 for g.
-1, -4/5, -1/4, 1
Factor -64/3 - 16*v - 4*v**2 - 1/3*v**3.
-(v + 4)**3/3
Let s be (-9)/(-2) + ((-464)/32)/(-29). Let b(r) be the first derivative of -r**2 - 1/15*r**3 - s*r + 10. Let b(q) = 0. Calculate q.
-5
Suppose 0 = -5*z + f + 14, 5*z - 2*f + 0*f = 13. Let x be ((-1024)/(-80) - 20)*1/(-3). Let 6/5*g**z + 0 - 3/5*g**5 + 36/5*g**2 - x*g**4 - 27/5*g = 0. What is g?
-3, 0, 1
Suppose 4*p + c = 5, -66*p + 61*p + 1 = 3*c. Factor 4/3*m**4 + 0 + 0*m - 4/3*m**p + 0*m**3.
4*m**2*(m - 1)*(m + 1)/3
Let