 p(u) be the third derivative of u**8/420 + 104*u**7/525 + 16*u**6/25 - 208*u**5/75 - 40*u**4/3 - 44*u**2 + 12*u. Solve p(a) = 0 for a.
-50, -2, 0, 2
Let w = 5 - -5. Let -57*d**2 + 4*d + w*d + 55*d**2 - 20 = 0. Calculate d.
2, 5
Let q be (-20)/45*(-315)/504. Let i(a) be the second derivative of -1/30*a**5 - 6*a + 0 - q*a**4 + 0*a**2 - 4/9*a**3. Solve i(o) = 0.
-4, -1, 0
Let t(g) be the second derivative of -g**4/2 + 21*g**3/2 - 15*g**2 + 197*g + 6. Factor t(r).
-3*(r - 10)*(2*r - 1)
Find d such that -60/7*d - 2/7*d**3 - 34/7*d**2 + 0 = 0.
-15, -2, 0
Let i(b) = -b**3 - 7*b**2 - 7*b + 12. Let y be i(-3). Let u be 0*((-10)/(-4) + y) - -2. Solve 3/4 - 21/8*v + 15/8*v**u = 0 for v.
2/5, 1
Let t(k) = k**2 + 2*k - 46. Let u be t(-8). Factor -4 + 17 + 396*c + 14 + 1452*c**u.
3*(22*c + 3)**2
Suppose p + 2*o - 7 = 0, -6 = 47*p - 48*p - o. Suppose -37 + p = -16*y. Find n, given that -1/7*n**3 + 4/7*n**y + 0 - 3/7*n = 0.
0, 1, 3
Let d(x) be the first derivative of -x**5/3 + 23*x**4/6 + 20*x**3/3 + x**2 + x + 31. Let h(z) be the second derivative of d(z). Factor h(k).
-4*(k - 5)*(5*k + 2)
Suppose 40 + 53*t**2 - 12762*t**3 + 25525*t**3 - 12749*t**3 - 4*t**2 + 168*t + 53*t**2 = 0. What is t?
-5, -2, -2/7
Solve a**4 - 7*a**3 + 272 - 240*a - 299*a**2 - 23*a**3 - 180 + 1808 = 0.
-5, 2, 38
Let w be (-148824)/(-11583) + 6*(-3)/(-99)*-1. Factor 12*z + w - 2/3*z**2.
-2*(z - 19)*(z + 1)/3
Let z(u) be the first derivative of -15*u**2 + 69 + 5/3*u**3 + 0*u. Find m, given that z(m) = 0.
0, 6
Let y(x) = -x**3 - 7*x**2 + 8. Let o be y(-7). Suppose -10 = -2*q - o*q. Determine w so that -15*w**2 + 14 + q + 5*w**3 + 29*w - 34*w = 0.
-1, 1, 3
Let a(v) be the third derivative of 5*v**2 + 11/12*v**4 + 0*v**3 - 28*v + 1/660*v**6 + 0 - 1/15*v**5. Factor a(z).
2*z*(z - 11)**2/11
Let s(q) be the first derivative of q**4/20 + 3*q**3/5 + 12*q**2/5 + 16*q/5 - 500. Factor s(a).
(a + 1)*(a + 4)**2/5
Let s(a) be the third derivative of -17/420*a**5 - a + 0*a**3 + 0*a**4 - 1/840*a**6 + 0 + 45*a**2. Let s(g) = 0. What is g?
-17, 0
Let y(z) be the third derivative of z**6/24 + 25*z**5/3 - 5*z**4/6 - 1000*z**3/3 - 5*z**2 + 31*z - 3. Solve y(j) = 0.
-100, -2, 2
Let g(q) be the first derivative of 5/2*q**6 - 7*q**5 + 0*q + 15/4*q**4 - 4 + 5*q**3 - 5*q**2. Factor g(w).
5*w*(w - 1)**3*(3*w + 2)
Let d(k) be the first derivative of -k**6/2 - 6*k**5/5 + 6*k**4 + 4092. Determine u, given that d(u) = 0.
-4, 0, 2
Let x(m) be the first derivative of m**4/24 - m**3/2 - 85*m + 40. Let s(g) be the first derivative of x(g). Factor s(q).
q*(q - 6)/2
Let w(m) = -10*m + 55. Let l be w(5). Suppose 64*c = l*c + 236. Solve 1/6*x**c + 4/3*x**3 + 5/2*x**2 - 4/3*x - 8/3 = 0 for x.
-4, -1, 1
Let v = 38 + -34. Suppose 0 = 5*s - 3*s - v. Suppose 22 - 22 - s*j + 4*j**4 - 4*j**2 + 0*j**4 + 2*j**5 = 0. Calculate j.
-1, 0, 1
Let i(o) = -102*o**3 - 100*o**2 - 37*o - 35. Let t be i(-1). Suppose 2/5*p**t - 26/15*p**3 + 4/3 + 26/15*p - 26/15*p**2 = 0. Calculate p.
-1, -2/3, 1, 5
Let f be 1230/45 + -30 + 16/6. Suppose -1/2*s**3 + f - 2*s + 2*s**2 = 0. Calculate s.
0, 2
Let n be (2/(-6))/((-3)/18). Let a be (-2 + 0)/(1/(-2) + 0). Factor -8*w**3 - a*w**n + 12*w**2 + 8 + 16*w**2 - 32*w + 8 + w**4.
(w - 2)**4
Let w be 24/42 - 16/28. Let r(j) be the second derivative of w*j**3 + 0*j**2 + 0*j**5 + 0 + 2/21*j**7 + 9*j + 0*j**4 + 0*j**6. Find z such that r(z) = 0.
0
Let i be (-6)/69*22/(-264). Let m(a) be the second derivative of -3/23*a**2 + 0 + 2/69*a**3 + i*a**4 + 12*a. Determine j, given that m(j) = 0.
-3, 1
Factor -2332 - 188*l - 2649 - 4*l**2 + 4453.
-4*(l + 3)*(l + 44)
Suppose 9 = q + 7. Suppose p - 6 = -q*p. Suppose 3*t**p + 18 + 12*t + 4*t - 31*t = 0. What is t?
2, 3
Let j = 5440475/4172 - -214/1043. Let s = j - 1303. Factor s - 5/2*i + 5/4*i**2.
5*(i - 1)**2/4
Let b(h) be the first derivative of 14*h**3/33 + 106*h**2/11 + 30*h/11 + 894. Suppose b(f) = 0. What is f?
-15, -1/7
Let m(k) be the first derivative of -k**3/3 + 2249*k**2/2 + 2250*k + 5781. Factor m(p).
-(p - 2250)*(p + 1)
Let s(f) be the first derivative of 2*f**3/3 - 44*f**2 - 90*f - 1066. Factor s(z).
2*(z - 45)*(z + 1)
Let p(k) = 3*k**2 + 1044*k + 7163. Let b be p(-341). Let 0 + 2/11*x**4 + 6/11*x**3 + 0*x**b - 8/11*x = 0. Calculate x.
-2, 0, 1
What is m in -146*m**4 + 148*m**4 + 40*m - 2*m**5 - 80*m**3 - 82*m**2 + 122*m**3 = 0?
-5, 0, 1, 4
Let r(c) = 55*c**2 - 514*c - 356. Let l be r(10). Factor -32/5*s + 16/5 - 4/5*s**3 + l*s**2.
-4*(s - 2)**2*(s - 1)/5
Let w(n) be the second derivative of n**6/1080 + n**5/72 + n**3/6 - 16*n**2 + 32*n. Let g(p) be the second derivative of w(p). Factor g(a).
a*(a + 5)/3
Determine x so that 1/5*x**2 + 2306/5*x + 1329409/5 = 0.
-1153
Let o = -315009 + 2205065/7. Factor 0 + 0*n - o*n**5 + 2/7*n**3 + 0*n**4 + 0*n**2.
-2*n**3*(n - 1)*(n + 1)/7
Let l(g) = -g**3 - 15*g**2 - 2*g - 25. Let w be l(-15). Suppose 5*i**2 - 16178*i + 80 + 16298*i - 9*i**3 - 21*i**3 + w*i**4 = 0. Calculate i.
-1, 4
Let c(m) be the second derivative of -m**5/220 - 25*m**4/33 - 1634*m**3/33 - 17328*m**2/11 - 11584*m. Factor c(u).
-(u + 24)*(u + 38)**2/11
Suppose -468*i + 435*i = 0. Let b(h) be the first derivative of i*h**2 - 3/14*h**4 + 2/7*h**5 + 24 + 0*h**3 + 0*h. Factor b(c).
2*c**3*(5*c - 3)/7
Let i(o) be the first derivative of -o**6/12 - 2*o**5/5 - 5*o**4/8 - o**3/3 - 228. Factor i(s).
-s**2*(s + 1)**2*(s + 2)/2
Solve -2/5*t**3 + 144/5*t**2 + 1188/5 - 162*t = 0.
3, 66
Let b = 80 - 84. Let u be 2 + 5 + b + (-65)/25. Factor -48/5*i + 12/5*i**3 + 2/5*i**2 + u*i**4 + 32/5.
2*(i - 1)**2*(i + 4)**2/5
Let g(j) be the second derivative of -55/18*j**4 - 15/2*j**2 + 48 + 20/3*j**3 + 2/3*j**5 + j - 1/18*j**6. Suppose g(f) = 0. What is f?
1, 3
Let n be (-30)/(-10) - (-10 + -2). Factor -110 - 45*v + n*v**2 + 15*v**2 - 25*v**2.
5*(v - 11)*(v + 2)
Let k be (-9 - (4403/(-68))/37)/(-2 - (-28)/16). What is d in k - 1/2*d**2 - 57/2*d = 0?
-58, 1
Suppose 26*u = 16*u - 6940. Let l = 696 + u. Factor 2/3*y**4 - 2*y**l + 0*y**3 + 0 + 4/3*y.
2*y*(y - 1)**2*(y + 2)/3
Let b(q) be the first derivative of -q**6/220 - 47*q**5/660 - 5*q**4/66 + 7*q**3/3 - q + 149. Let n(f) be the third derivative of b(f). Factor n(d).
-2*(d + 5)*(9*d + 2)/11
Find b, given that 42*b**4 + 3568*b + 34*b**3 - 11*b**3 + 16*b**3 + 46*b**3 + 1792 - 9448*b**2 - 17*b**3 = 0.
-16, -2/7, 2/3, 14
Let a be (-7)/(-35) - 308/(-35). Let c be 4/(12/a)*(-32)/(-128). What is u in 3/4*u - c*u**3 + 0 + 3/8*u**4 - 3/8*u**2 = 0?
-1, 0, 1, 2
Determine q so that -12*q**2 - 33 + 93/2*q - 3/2*q**3 = 0.
-11, 1, 2
Let w(z) be the first derivative of -z**3 + 345*z**2 + 6109. Factor w(d).
-3*d*(d - 230)
Let l(n) be the third derivative of -n**9/1512 + n**7/420 + 31*n**3/6 + 9*n**2 - 2*n. Let k(j) be the first derivative of l(j). Factor k(s).
-2*s**3*(s - 1)*(s + 1)
Let i = 80449/482748 + 3/160916. Suppose -5/3*d + 3/2 + i*d**2 = 0. What is d?
1, 9
Let m(w) be the first derivative of -114 + 24*w - 3/5*w**5 + 21*w**3 - 15/4*w**4 - 69/2*w**2. Find j such that m(j) = 0.
-8, 1
Let b(n) = 9*n**3 + 7*n**2 - 8*n + 16. Let r(l) = -2*l**3 - l**2 - 2*l - 1. Suppose -23 + 17 = 3*z, 2*z = -2*u + 4. Let a(f) = u*r(f) + b(f). Solve a(q) = 0.
-6, 1, 2
Let c be -23*24/(-1932) - (-30)/(-105). Factor -1/2*w**5 - 11*w**2 - 5*w**4 - 12*w**3 - 7/2*w + c.
-w*(w + 1)**3*(w + 7)/2
Let p(x) be the first derivative of x**5/25 + 3*x**4 + 354*x**3/5 + 486*x**2 + 6561*x/5 - 295. Factor p(z).
(z + 3)**2*(z + 27)**2/5
Suppose l + 4 = 3*l. Let p be (-20 + 11/(1386/2492))/((-5)/120). Determine r so that 4 + p*r + 4/3*r**l = 0.
-3, -1
Let y(c) = 5*c**4 - 11*c**3 + 26*c**2 - 16*c + 2. Let b(t) = 12*t**4 - 22*t**3 + 52*t**2 - 32*t + 5. Let s(x) = -2*b(x) + 5*y(x). Find z such that s(z) = 0.
0, 1, 2, 8
Let g(w) be the third derivative of 3*w**7/70 + 43*w**6/20 + 53*w**5/5 + 13*w**4 - 347*w**2 - 4*w. Factor g(f).
3*f*(f + 2)*(f + 26)*(3*f + 2)
Let p be (-70)/(-63) + 8 - 9. Let u(z) be the second derivative of 0 - p*z**3 + 0*z**2 - 11*z + 1/54*z**4. Factor u(d).
2*d*(d - 3)/9
Let c(o) = -o**3 - 3*o**2 + o - 9. Let x be c(-4). Find s such that -26*s**3 + 170*s**2 + 11*s**3 + 145*s + 40*s**2 - 90 - 10*s**x = 0.
-1, 2/5, 9
Let b(i) be the third derivative of 7/200*i**6 + 1/350*i**7 + 3/5*i**3 + 0 + 2*i**2 + 17/100*i**5 + 17/40*i**4 + 2*i. Factor b(j).
3*(j + 1)**2*(j +