(-25) - -9) + (-2)/5. Suppose -875*j**5 + 9000 + n*j**3 - 37928*j + 27200*j**4 - 39772*j - 348387*j**3 + 223990*j**2 = 0. What is j?
2/7, 2/5, 15
Suppose -658*b - 100 = -653*b. Let c = 81/4 + b. Determine z so that 0 - 1/4*z**2 + 1/4*z**5 - 1/4*z**3 + 0*z + c*z**4 = 0.
-1, 0, 1
Suppose i - 5*i + 24 = f, -4*f + 1 = -3*i. Suppose 3*g - 5*x - 29 = 0, -6 = f*g + 5*x + 2. Factor g*b**4 - b**3 - 110*b + 4*b**5 + 110*b.
b**3*(b + 1)*(4*b - 1)
Let z = 75 + -76. Let i be z/(-5) - 17/((-595)/378). Find p, given that 12*p**2 - 16*p**3 - 2*p**2 + 0*p**3 - 5*p + i*p**3 = 0.
0, 1
Let c(i) be the first derivative of -i**6/12 + 7*i**5/10 - 19*i**4/8 + 25*i**3/6 - 4*i**2 + 2*i + 1902. Determine w so that c(w) = 0.
1, 2
Let h(m) be the third derivative of -m**7/945 + m**6/60 + 7*m**5/30 + 95*m**4/108 + 14*m**3/9 - 17*m**2 + 53*m. Determine a so that h(a) = 0.
-3, -1, 14
What is r in -86/7*r - 40*r**2 - 4/7 = 0?
-1/4, -2/35
Let z(i) be the third derivative of -5*i**6/72 + 23*i**5/12 - 15*i**4/8 + i**3/3 - 39*i**2. Let s(p) be the first derivative of z(p). What is r in s(r) = 0?
1/5, 9
Let p(o) = 25*o**2 + 231*o + 232. Let c be p(-1). Let k(v) be the first derivative of -4*v**2 - 2/3*v**3 + c + 0*v. Factor k(n).
-2*n*(n + 4)
Let z(o) = -35*o**3 + 2826*o**2 + 4863*o - 1586. Let r(p) = -35*p**3 + 2829*p**2 + 4862*p - 1584. Let c(b) = -17*r(b) + 18*z(b). Let c(i) = 0. What is i?
-2, 2/7, 81
Let j(m) = 30*m + 119. Let f be j(-12). Let b = f + 245. Solve 4/5*q + 0 + 14/5*q**5 - 18/5*q**3 + 2*q**2 - 2*q**b = 0 for q.
-1, -2/7, 0, 1
Let o(c) be the second derivative of -c**6/75 - 19*c**5/50 + 97*c**4/30 + 23*c**3/3 + 2192*c. Solve o(x) = 0 for x.
-23, -1, 0, 5
Let h(t) = 3*t**5 + 60*t**4 - 432*t**3 + 978*t**2 - 924*t + 312. Let q(n) = n**3. Let f(o) = h(o) + 3*q(o). Find m, given that f(m) = 0.
-26, 1, 2
Let h(f) be the first derivative of f**4/10 - 4*f**3/15 - 8*f**2/5 + 1412. What is r in h(r) = 0?
-2, 0, 4
Let c(h) = -h**3 - 10*h**2 - 19*h - 17. Let n be c(-8). Let t be n/84 - 4/12*-2. Find x, given that 0 + 1/4*x**2 - t*x = 0.
0, 3
Let n(c) be the first derivative of c**4/18 - 2*c**3/9 - 4*c**2/9 + 1180. Factor n(x).
2*x*(x - 4)*(x + 1)/9
Suppose -3*b - 5*w = -26, 2*w = b + 5*w - 14. Solve 8*l**3 - l - b*l**2 + l**2 + 3*l - 9*l**2 = 0 for l.
0, 1/4, 1
Factor 0 + 3/7*v**4 + 72/7*v - 27/7*v**3 + 6*v**2.
3*v*(v - 6)*(v - 4)*(v + 1)/7
Let u be 82/205 - (-3)/(-6)*0. What is c in 0*c + 0*c**2 - 16/5*c**3 + 0 + u*c**4 + 14/5*c**5 = 0?
-8/7, 0, 1
Let 382/15*h**4 - 808/15*h - 40/3 - 182/15*h**2 + 14/15*h**5 + 794/15*h**3 = 0. Calculate h.
-25, -2, -1, -2/7, 1
Let w be 10/6*(166/95 + 131/2489). What is u in 0 + 3/4*u**5 - 3/2*u + 9/4*u**4 + 3/4*u**w - 9/4*u**2 = 0?
-2, -1, 0, 1
Let f = -1/1012 - -4075/27324. Let m(l) be the second derivative of 1/9*l**2 + f*l**3 - 1/54*l**4 + 22*l + 0 - 2/45*l**5. Determine h, given that m(h) = 0.
-1, -1/4, 1
Let j(d) be the second derivative of -d**7/28 - 2*d**6/15 + d**5/5 + 4*d**4/3 + 4*d**3/3 - 2776*d. Determine u so that j(u) = 0.
-2, -2/3, 0, 2
Suppose 460*p - 65 = 431*p - 7. Let t(u) be the third derivative of 0 - 1/490*u**7 + 0*u - u**p + 3/140*u**5 + 1/28*u**4 + 0*u**6 + 0*u**3. Factor t(n).
-3*n*(n - 2)*(n + 1)**2/7
Factor 14*u**3 - 1/2*u**4 - 81/2 - 66*u - 11*u**2.
-(u - 27)*(u - 3)*(u + 1)**2/2
Suppose 0 = -3*r + 4*r - 18. Suppose -4*j = -j - r. Factor -j*s**4 + 5*s**3 - 2*s - 3*s**3 + 1 + 5*s**4.
-(s - 1)**3*(s + 1)
Let t(p) be the second derivative of 5*p**7/42 - p**6/24 - 11*p**5/4 - 305*p**4/48 - 35*p**3/12 + 5*p**2 - 4*p + 52. Determine h, given that t(h) = 0.
-2, -1, 1/4, 4
Suppose -2*k - 2 = -f - 3, 0 = -f + 3. Factor 17*o**2 + 26*o**2 - 67*o**2 + 16*o + 26*o**k.
2*o*(o + 8)
Let q(n) be the third derivative of 3*n**7/280 + 7*n**6/480 - 73*n**5/120 - 7*n**4/6 + 4*n**3/3 - 2265*n**2. Determine b, given that q(b) = 0.
-4, -1, 2/9, 4
Let p(b) = 2*b**3 - 50*b**2 + 47*b + 19. Let r be p(24). Let c be (-29)/r - ((-100)/5)/(-4). Factor -8/5*n - c*n**2 + 0 + n**4 + 6/5*n**3 + 1/5*n**5.
n*(n - 1)*(n + 2)**3/5
Suppose s + 57 = 5*j + 172, 0 = -3*j + 2*s - 62. Let n be (j/(-40))/((-18)/(-40)). Suppose -2*d + n - 10/3*d**2 = 0. Calculate d.
-1, 2/5
Let r be (-16)/(3 - 7) + 2/2. Let n(o) be the second derivative of 0 - 1/42*o**7 + 0*o**3 + 0*o**2 - 1/30*o**6 + 1/12*o**4 + 1/20*o**r + 11*o. Factor n(u).
-u**2*(u - 1)*(u + 1)**2
Let q be -1 + 6 + 638/(-132). Let b(k) be the third derivative of 0*k - q*k**4 + 1/30*k**6 + 1/15*k**5 - 14*k**2 + 0 - 2/3*k**3. Suppose b(i) = 0. Calculate i.
-1, 1
Let c(z) = 43*z + 177. Let j be c(-4). Let v(d) be the third derivative of -j*d**3 + 25/24*d**4 + 0*d - 1/12*d**5 + 0 + 3*d**2. Factor v(l).
-5*(l - 3)*(l - 2)
Let l = 20 + -12. Suppose b - l = -z - 1, 2*z = -b + 12. Factor 0*r + 4*r**3 + 2*r - 8*r**b - 2*r.
4*r**2*(r - 2)
Let k(v) be the third derivative of -108/11*v**3 - 20*v + 3/11*v**4 + 0 + 2*v**2 - 1/330*v**5. Find a such that k(a) = 0.
18
Let m = 11689/136812 + -24/11401. Determine a, given that 11/12*a + m*a**2 - 1 = 0.
-12, 1
Let c(n) be the third derivative of -17/180*n**4 + 2/5*n**3 - 1/450*n**5 - 2*n**2 + 0 + 33*n. Factor c(z).
-2*(z - 1)*(z + 18)/15
Factor 82*p**2 + 2/3*p**3 + 244/3*p + 0.
2*p*(p + 1)*(p + 122)/3
Suppose -3351*d + 3196*d + 310 = 0. Factor 162/7*a**d - 72/7*a + 8/7.
2*(9*a - 2)**2/7
Suppose -10*w + 5*w = 35. Let l = w - -16. Solve 2 + h**2 - 20*h**3 + 2*h + 5*h**4 + 18*h - 17 + l*h**2 = 0.
-1, 1, 3
Let y(g) be the first derivative of -g**6/45 + g**5/10 - g**4/6 + g**3/9 + 102*g - 24. Let x(u) be the first derivative of y(u). Factor x(i).
-2*i*(i - 1)**3/3
Let h(s) be the first derivative of 5*s**3/3 + 15*s**2 + 40*s + 1177. Let h(b) = 0. What is b?
-4, -2
Let n = 82 + -79. Suppose 3*l = 2*l - n, 2*b + 11 = -5*l. Factor -4*y**4 + 4*y**b - 241 + 241 - 2*y + 2*y**3.
-2*y*(y - 1)*(y + 1)*(2*y - 1)
Let n(u) = -187*u - 40. Let t be n(-1). Let a be 1/(-2) + t/210. Factor -2/5 - 3/5*c + a*c**3 + 0*c**2.
(c - 2)*(c + 1)**2/5
Let w(t) be the third derivative of 0*t**3 - 7/660*t**6 - 1/1848*t**8 + 0*t**5 + 65*t**2 + 0*t**4 + 0*t + 0 - 8/1155*t**7. Find y, given that w(y) = 0.
-7, -1, 0
Let s = -815387 - -815390. Factor -9/4 - s*l**2 - 39/4*l.
-3*(l + 3)*(4*l + 1)/4
Let j(q) = -3*q**2 - 4*q + 1. Let f(t) = t**3 - 130*t**2 - 53*t + 884. Let k(u) = 2*f(u) - 22*j(u). Factor k(y).
2*(y - 97)*(y - 3)*(y + 3)
Let v(s) be the third derivative of 0*s**3 - 1/360*s**5 + 1/24*s**4 + 0*s + 0 + 92*s**2. Factor v(i).
-i*(i - 6)/6
Let d(m) be the first derivative of -50*m**6/3 - 1164*m**5 - 21294*m**4 - 11912*m**3/3 + 36366*m**2 + 30276*m - 468. Solve d(p) = 0 for p.
-29, -3/5, 1
Let o be (4 - 3)*73*1/(-1). Let z = -71 - o. Factor -17*s - 5*s**z + 8*s + 14*s + 10.
-5*(s - 2)*(s + 1)
Let x be (-2)/(-6)*((-6 - 49) + 64). Let c(n) be the first derivative of -48/7*n**2 + 4/21*n**x + 27 + 576/7*n. Let c(t) = 0. What is t?
12
Let -5 + 823*j - 13*j**2 + 999*j - 515 + 6*j**2 = 0. What is j?
2/7, 260
Let t be (-14)/(-770)*-10 + 453/(-594) + 1. Let i(s) be the second derivative of 31*s + 1/30*s**5 - t*s**4 + 0*s**2 + 4/15*s**6 + 0 + 0*s**3. Factor i(z).
2*z**2*(3*z + 1)*(4*z - 1)/3
Let v be ((-8)/(-9))/((-588)/(-2646)). What is p in 2*p**v + 0*p + 0 + 3/2*p**2 + 19/4*p**3 - 5/4*p**5 = 0?
-1, -2/5, 0, 3
Let o(t) be the third derivative of t**6/180 - t**5/4 - 79*t**3/6 + 4*t**2 - 15. Let c(y) be the first derivative of o(y). Factor c(n).
2*n*(n - 15)
What is t in 2*t**5 + t**5 + 18*t**4 + 374167*t**2 - 374319*t**2 + 0*t**5 + 192*t - 5*t**5 = 0?
-3, 0, 2, 8
Let b = 102 - 95. Let h be 0 + (6 - b/((-28)/(-12))). Determine k so that 8*k**3 - 2*k**3 + k**4 - h*k**3 = 0.
-3, 0
Let c(m) = -9*m**4 + 155*m**3 - 1466*m**2 + 3770*m + 5390. Let x(f) = -4*f**4 + 76*f**3 - 734*f**2 + 1886*f + 2696. Let h(s) = 2*c(s) - 5*x(s). Factor h(z).
2*(z - 15)**2*(z - 6)*(z + 1)
Factor 4*a + 0 + 5/4*a**3 + 21/2*a**2.
a*(a + 8)*(5*a + 2)/4
Let d(l) be the third derivative of l**8/1176 - 4*l**7/245 - 9*l**6/140 - l**5/15 - 75*l**2 + l. Let d(u) = 0. Calculate u.
-1, 0, 14
Suppose -47 = 4*y - 51. Let q(i) = -i**2 - i. Let w(g) = 20*g**4 + 68*g**3 + 46*g**2 - 26*g - 24. Let z(k) = y*w(k) - 6*q(k). Solve z(r) = 0 for r.
-2, -1, 3/5
Let j(t) be the second derivative of -29/9*t**3 - 19/120*t**5 + 49/36*t**4 - 2 + 10/3*t**2 - 1/60*t**6 + 70