 be 24/(-40) + (-273)/(-130). Find j, given that 3/2*j + 3/2*j**2 - 3/2*j**3 - u = 0.
-1, 1
Let m = 358 - 358. Let n(u) be the second derivative of u - 1/3*u**3 + m - 1/12*u**4 - 1/2*u**2. Suppose n(h) = 0. Calculate h.
-1
Let p(f) be the first derivative of f**6/24 - 7*f**5/20 + 3*f**4/16 + 19*f**3/12 - f**2/2 - 3*f + 902. What is w in p(w) = 0?
-1, 1, 2, 6
Suppose -2*s + 4*x = -48, -2*x - 54 - 48 = -4*s. Suppose -v - 4 = 3*v + 4*h, -3*h = 15. What is c in c**v + 3 - 3 + c - c**3 - s*c**2 + 25*c**2 = 0?
-1, 0, 1
Suppose -5*d + 2*i - 10 = -3*d, 0 = -4*d - 4*i + 12. Let n be -2*d/(-6)*-6. Find f such that 6*f**3 - 2*f**3 + 3*f**4 + 3*f**n - 10*f**3 = 0.
0, 1
Let o = -4904/3 - -1635. Factor 1/3*r + r**2 + r**3 + 0 + o*r**4.
r*(r + 1)**3/3
Suppose 21 = -2*g + 3. Let h = 14 + g. Factor 9*w**4 - 13*w**3 - w**5 - 2*w**h + 4*w**3 + 3*w**2.
-3*w**2*(w - 1)**3
Let t = 8 - 4. Suppose -3*w = q - 12, t*q - 2*q = 2*w. Factor -4*s + 6 - 3*s**4 - s - 3*s**2 + 9*s**q - 4*s.
-3*(s - 2)*(s - 1)**2*(s + 1)
Let z(j) be the third derivative of -j**8/3528 + 4*j**7/2205 - j**6/1260 - j**5/45 + 5*j**4/63 - 8*j**3/63 - 34*j**2. Suppose z(n) = 0. What is n?
-2, 1, 2
Suppose -114*d + 59*d = -52*d. Let h(p) be the third derivative of d - 1/84*p**4 + 8*p**2 + 0*p + 1/420*p**6 - 1/105*p**5 + 2/21*p**3. Factor h(v).
2*(v - 2)*(v - 1)*(v + 1)/7
Let p = -1486 + 1490. Let o(n) be the third derivative of 0*n**3 - n**2 + 0*n**p - 1/1008*n**8 + 0*n + 1/315*n**7 + 0*n**5 + 0 - 1/360*n**6. Factor o(c).
-c**3*(c - 1)**2/3
Let n(m) be the second derivative of -1/18*m**4 - 17*m + 0 - m**2 - 4/9*m**3. Factor n(p).
-2*(p + 1)*(p + 3)/3
Find i such that 170*i - 75*i**2 - 8*i**3 + 123 - 123 + 3*i**3 = 0.
-17, 0, 2
What is t in -26*t + 13*t - 72 - 4*t - 3*t**2 - 24*t - t = 0?
-12, -2
Factor 0*t**3 + 2/3*t - t**2 + 0 + 1/3*t**4.
t*(t - 1)**2*(t + 2)/3
Let o(b) be the first derivative of -b**4/2 - 10*b**3/3 - 4*b**2 - 286. Factor o(m).
-2*m*(m + 1)*(m + 4)
Find j, given that 0 + 0*j - 39/2*j**3 - 3*j**2 - 18*j**4 + 81/2*j**5 = 0.
-1/3, -2/9, 0, 1
Let p(r) be the third derivative of 0 + 0*r - 1/64*r**4 + 0*r**3 - r**2 - 1/160*r**5. Determine d, given that p(d) = 0.
-1, 0
Suppose -2*q + 22 = -8. Factor -16*o**3 - 5*o**4 - q*o**3 + 21*o**3 + 5*o**2 + 10*o.
-5*o*(o - 1)*(o + 1)*(o + 2)
Let z be 39/15 + (-10)/(-25)*1. Suppose 3*q + 9 = z*u, -2*u + 2*q - 3 = 3*q. Factor u*t**3 - 4/5*t**4 + 32/5*t + 24/5*t**2 + 12/5.
-4*(t - 3)*(t + 1)**3/5
Let k(g) be the third derivative of -g**8/1512 + 10*g**7/189 - 173*g**6/108 + 568*g**5/27 - 2240*g**4/27 + 4096*g**3/27 + 92*g**2. Let k(f) = 0. What is f?
1, 16
Determine k so that 13/8*k**4 + 1/8*k**5 + 23/8*k**2 + 47/8*k**3 - 9/2 - 6*k = 0.
-6, -1, 1
Let v(z) be the second derivative of -1/108*z**4 + 1/270*z**6 + 1/27*z**3 - 1/90*z**5 + 0*z**2 - 2*z + 0. Suppose v(x) = 0. Calculate x.
-1, 0, 1, 2
Let k(s) be the third derivative of 0*s + 0*s**4 + 0 + 0*s**5 + 1/84*s**8 - 1/30*s**6 + 0*s**7 + 0*s**3 + s**2. Determine v so that k(v) = 0.
-1, 0, 1
Let i(f) be the second derivative of -f**7/2520 - f**6/360 + f**5/40 - 11*f**4/12 + 20*f. Let x(n) be the third derivative of i(n). Factor x(b).
-(b - 1)*(b + 3)
Let w(h) be the third derivative of h**7/1365 + h**6/260 + h**5/130 + h**4/156 - 391*h**2. Determine y, given that w(y) = 0.
-1, 0
Let o(i) = -15*i**5 + 97*i**4 - 224*i**3 - 54*i**2. Let h(k) = -44*k**5 + 291*k**4 - 676*k**3 - 163*k**2. Let g(v) = -6*h(v) + 17*o(v). Factor g(j).
j**2*(j - 6)*(j - 5)*(9*j + 2)
Let u be 328140/54*((-5)/(-6))/5. Let w = -1011 + u. Suppose -w + 250/9*y**5 - 400/9*y**4 - 8/9*y + 164/9*y**2 + 10/9*y**3 = 0. Calculate y.
-2/5, 2/5, 1
Let a(z) be the second derivative of -z**6/120 - z**5/40 + z**4/16 + z**3/6 - 21*z**2/2 + 8*z. Let s(h) be the first derivative of a(h). What is c in s(c) = 0?
-2, -1/2, 1
Let 35*v**4 - 12 - 6 + 80*v**3 + 3 - 15*v**2 - 80*v - 5 = 0. Calculate v.
-2, -1, -2/7, 1
Suppose a = 3*a - u - 57, -3*a + 93 = -3*u. Let c be (4/(-6))/(1 - a/6). Factor 0*n - 1/5*n**3 - 1/5*n**2 + c*n**4 + 1/5*n**5 + 0.
n**2*(n - 1)*(n + 1)**2/5
Factor 1/4*x**4 + 5/4*x**3 + 23/4*x - 2 - 21/4*x**2.
(x - 1)**3*(x + 8)/4
Let c be 8/1 - (-4 - -8). Determine n, given that 16*n**5 + n - 2*n**3 + n**c - n**4 - 15*n**5 = 0.
-1, 0, 1
Let r = -51 - -51. Let s(c) be the third derivative of 1/105*c**7 - 5*c**2 + 0 + 0*c**4 + 0*c + r*c**3 + 1/30*c**6 + 0*c**5. Find a such that s(a) = 0.
-2, 0
Let g(n) = -12*n**3 + 24*n**2 - 16*n + 8. Let i(l) = 2*l**3 - l**2 - 3*l + 1. Let d(a) = g(a) + 4*i(a). Factor d(y).
-4*(y - 3)*(y - 1)**2
Solve -5*p**4 - 157*p + 157*p - 11*p**3 - 15*p**2 + 13*p**2 = 0.
-2, -1/5, 0
Let u(p) be the second derivative of 3*p**5/40 - 15*p**4/4 - 16*p**3 + 121*p + 1. Factor u(c).
3*c*(c - 32)*(c + 2)/2
Let v(p) be the third derivative of p**8/1176 + 2*p**7/735 - p**6/210 - 4*p**5/105 - p**4/12 - 2*p**3/21 + 17*p**2 - 12*p. Let v(x) = 0. Calculate x.
-1, 2
Let t(q) be the second derivative of -q**6/40 + q**5/5 - 5*q**4/8 + q**3 + 4*q**2 - 11*q. Let h(l) be the first derivative of t(l). Factor h(f).
-3*(f - 2)*(f - 1)**2
Suppose 0 = -x + 6*x - 15. Suppose 0 = 5*z + v - 2*v, 0 = 4*z + x*v. What is d in 3/5*d**5 + z*d**2 + 0*d + 3/5*d**3 - 6/5*d**4 + 0 = 0?
0, 1
Let u(q) = q**3 - 13*q**2 - 13*q - 12. Let h be u(14). Determine g so that -374 + 0*g + g**h + 3*g + 370 = 0.
-4, 1
Let b(v) be the first derivative of -v**5/5 - v**4 + 2*v**3 + 2*v**2 - 5*v + 227. Factor b(z).
-(z - 1)**2*(z + 1)*(z + 5)
Factor -484/5 + 44/5*m - 1/5*m**2.
-(m - 22)**2/5
Suppose -5/2*p**4 - 75/2 + 0*p**2 + 15*p**3 - 55*p = 0. Calculate p.
-1, 3, 5
Let u(i) be the second derivative of -1/4*i**4 + 0 + 1/30*i**5 + 0*i**2 + 1/180*i**6 - 3*i + 5/3*i**3. Let z(x) be the second derivative of u(x). Factor z(y).
2*(y - 1)*(y + 3)
Let x(z) be the second derivative of -5*z**4/12 + 15*z**3 - 85*z**2/2 - 25*z. Suppose x(v) = 0. Calculate v.
1, 17
Let j(f) be the second derivative of -f**5/4 - 5*f**4/2 - 25*f**3/6 - 44*f. Suppose j(n) = 0. What is n?
-5, -1, 0
Let g be (74 - 69) + (-18)/4. Let t + g - 1/2*t**2 - t**3 = 0. What is t?
-1, -1/2, 1
Let i(n) be the first derivative of -19 - 24/5*n - 2*n**2 + 4/15*n**3. Determine d, given that i(d) = 0.
-1, 6
Suppose 104 = 2*m + 4*x, -4*x - 142 = -3*m - 3*x. Let z be (-14)/(-10)*m/56. Suppose -2/5*n**2 + 0 - z*n = 0. Calculate n.
-3, 0
Let w(d) = d**3 + 6*d**2 - 6*d + 5. Let r be w(-7). Let j be -2 + (3 + -11)/r. Solve 35*v**2 + 8*v**4 - 3*v**5 - 2*v**3 - 4*v**4 + 5*v**5 - 39*v**j = 0.
-2, -1, 0, 1
Let m = -124 - -176. Solve 20 - 122*i + 5*i**2 + m*i + 50*i = 0 for i.
2
Let p(u) = 2*u**2 - 34*u - 33. Let g be (3/(-4))/((-45)/1080). Let c be p(g). Find q, given that 0*q + 0*q**c + 1/6*q**4 + 0*q**2 + 0 = 0.
0
Let r be 45*7/252 + 11/4. Factor 12/5*h + 36/5 - r*h**2 + 4/5*h**3.
4*(h - 3)**2*(h + 1)/5
Let v = -271/3 - -93. Let n be (8/(-30))/((-8)/20). Find y, given that 4/3*y + v*y**3 + n*y**4 + 0 + 10/3*y**2 = 0.
-2, -1, 0
Let l = 5 + -7. Let p be 22/6 + l/3. Factor m**2 + m**2 + 4*m**3 - 2*m**p - m**3.
m**2*(m + 2)
Let w(g) be the first derivative of 8*g**3/7 - 74*g**2/7 + 20*g - 149. Factor w(a).
4*(a - 5)*(6*a - 7)/7
Let b be 4 + 124/(-28) + (-184)/(-21). Let d(v) be the first derivative of 15/4*v**4 + 5*v**2 + b*v**3 - v**5 - 5/6*v**6 + 0*v - 13. Factor d(r).
-5*r*(r - 2)*(r + 1)**3
Let z = -33329/5 - -6666. Factor 0 + z*i**3 - 6/5*i**2 + i.
i*(i - 5)*(i - 1)/5
Let p(x) be the second derivative of x**6/180 + x**5/120 - 5*x**4/72 + x**3/12 - 50*x. Suppose p(j) = 0. What is j?
-3, 0, 1
Let v(g) = 5*g**2 - 4*g - 64. Let n(x) = x**2 - 7. Let h(p) = 45*n(p) - 5*v(p). Solve h(b) = 0.
-1/2
Let j(s) be the third derivative of -3*s**6/40 - 17*s**5/20 - 9*s**4/8 + 5*s**3/2 + s**2 + 84*s. Find i such that j(i) = 0.
-5, -1, 1/3
Let o be (-1)/2*24/(-36). Let k = o - -1/3. Factor -n**4 - k*n**3 - 1/3*n**5 + n + 1/3 + 2/3*n**2.
-(n - 1)*(n + 1)**4/3
Let x(j) be the third derivative of j**6/120 + j**5/5 + 17*j**4/24 - 5*j**3 + 737*j**2. Suppose x(i) = 0. Calculate i.
-10, -3, 1
Let u(i) be the first derivative of -i**4/4 - i**3/2 + 3*i**2 + 5*i + 4. Let c(w) be the first derivative of u(w). Solve c(z) = 0 for z.
-2, 1
Let p = 187/752 + 1/752. Suppose 1/4*u - p*u**3 + 1/2 - 1/2*u**2 = 0. What is u?
-2, -1, 1
Let k(j) be the first derivati