 = -4*t(n) + 28*y(n). Factor k(h).
4*h**2*(h + 1)*(h + 15)
Suppose 0 = 100*f + 14*f. Let d(y) be the third derivative of f*y + 20*y**2 - 3/4*y**4 + 7/20*y**5 - 1/70*y**7 + 0*y**6 + 0*y**3 + 0. Factor d(u).
-3*u*(u - 2)*(u - 1)*(u + 3)
Let p(u) be the second derivative of 11*u**4/2 - 35*u**3/3 + 2*u**2 - 1257*u. Factor p(i).
2*(i - 1)*(33*i - 2)
Let 60*h**2 + 80/3*h + 55/3*h**3 + 5/3*h**4 - 320/3 = 0. What is h?
-4, 1
Let l(w) = 8*w + 46. Let n be l(0). Suppose 22 - n = -12*a. Factor -1/4*m - 1/2 + 1/4*m**a.
(m - 2)*(m + 1)/4
Let j(c) be the third derivative of c**7/70 + 101*c**6/160 - 599*c**5/80 - 219*c**4/8 - 45*c**3/2 - 5414*c**2. Let j(x) = 0. What is x?
-30, -1, -1/4, 6
Let v(d) be the first derivative of 1/2*d**4 + 13*d**2 - 124 + 12*d + 16/3*d**3. Solve v(u) = 0.
-6, -1
Let m(y) be the first derivative of 7/10*y**5 + 0*y**2 - 3/2*y**4 + 2/3*y**3 - 17 + 3*y. Let c(j) be the first derivative of m(j). Find k such that c(k) = 0.
0, 2/7, 1
Let n(j) be the second derivative of 4/3*j**3 + 0*j**2 + 7*j**4 + 0 - 189*j + 19/5*j**5. Determine a so that n(a) = 0.
-1, -2/19, 0
Let g(v) be the second derivative of 0*v**2 - 3 + 107/2*v**5 + 0*v**3 - 20*v**4 - 5/6*v**7 - 53/2*v**6 + 60*v. Let g(h) = 0. Calculate h.
-24, 0, 2/7, 1
Let s = -721020 + 721025. Solve -57/7*d**4 + 3/7*d**s - 972/7*d**2 + 648/7*d + 54*d**3 + 0 = 0 for d.
0, 1, 6
Let p(c) = -c**2 + 11*c - 1. Let m(x) = 3*x**3 + 1516*x**2 + 190498*x - 192026. Let o(z) = -m(z) - p(z). Factor o(n).
-3*(n - 1)*(n + 253)**2
Let w(p) = 12*p + 124. Let i be w(-10). Let -60*x**i + 48 + 4*x**4 + 4180*x**2 - 4172*x**2 - 96*x**3 - 4*x**5 + 100*x = 0. What is x?
-12, -1, 1
Suppose 2*c + 3*c = 25, -5*g = c - 5. Suppose g = 2*l + 6*l - 16. Suppose 0 - 4/3*x + 26/3*x**l = 0. Calculate x.
0, 2/13
Let q(r) = 8*r**2 - r - 1. Let i be q(-1). Suppose -5*h = -5*n + 5, -3*h = -n - i*h + 19. Solve -n - 14*u + 5*u**3 + 5*u + u**3 - 5*u - 4*u**2 = 0 for u.
-1, -1/3, 2
Let 147/2 - 25*b + 1/6*b**2 = 0. What is b?
3, 147
Let q(h) = -69*h**3 + 33*h**2 + h - 37. Let r(i) = -121*i**3 + 66*i**2 + 2*i - 73. Let b(c) = -7*q(c) + 4*r(c). Factor b(m).
-(m - 33)*(m - 1)*(m + 1)
Let j(k) be the second derivative of 5/3*k**3 - 1/10*k**5 + 63*k + 0 + 3*k**2 + 1/6*k**4. Factor j(w).
-2*(w - 3)*(w + 1)**2
Let w = -62 - -71. Suppose 2*n + 3*k = -w, -4*n + 4*k + 17 = -15. What is u in -2/3*u**2 - 1/3*u**n + 0*u + 1/3*u**4 + 0 = 0?
-1, 0, 2
Find k such that 36/7*k**3 + 122/7*k**2 + 0 + 12*k - 2/7*k**4 = 0.
-2, -1, 0, 21
Let g(t) be the first derivative of 31 + 108/11*t**2 - 49/22*t**4 + 112/11*t**3 + 32/11*t. Factor g(v).
-2*(v - 4)*(7*v + 2)**2/11
Determine b so that 98*b**2 - 357*b + 432 + 5*b - 68*b - 218*b**2 + 3*b**4 - 12*b**3 + 117*b**3 = 0.
-36, -2, 1, 2
Let v(k) = -k**2 + 11*k + 111. Let b be v(-14). Let x = -237 - b. Factor 5/2*n + x + 1/2*n**2.
(n + 1)*(n + 4)/2
Let b be (33/10)/3 + (-7139)/14278. Let b - 1/10*j**4 - 1/2*j**2 + 1/2*j**3 - 1/2*j = 0. Calculate j.
-1, 1, 2, 3
Let o = 951 - 948. Factor 39*b + 42*b - 18 + 31*b - o*b**2 - 91*b.
-3*(b - 6)*(b - 1)
Let a(v) = -16*v**4 - 52*v**3 + 692*v**2 - 1196*v - 4. Let i(y) = 3*y**4 + y**3 + 2*y**2 + 5*y + 1. Let x(p) = a(p) + 4*i(p). Find w, given that x(w) = 0.
-21, 0, 2, 7
Let n be ((-168)/(-20))/((-9)/(-30)). Suppose -16*c + 4 = -n. Determine d so that 4/7 + 1/7*d**c - 5/7*d = 0.
1, 4
Let r be 1/(0 + -1 + (-70)/(-56)). Solve 20 + 251*n**r - 129*n**4 + 20*n - 127*n**4 - 15*n**2 - 20*n**3 = 0.
-2, -1, 1
Factor 2061721/3*i**3 - 571787000/3 - 567656090/3*i**2 - 1141507300/3*i + 1/3*i**5 - 2488/3*i**4.
(i - 830)**3*(i + 1)**2/3
Let d(m) be the third derivative of 0*m - 1/40*m**5 + 0 - 44*m**2 + 1/480*m**6 + 1/8*m**4 - 1/3*m**3. Find n, given that d(n) = 0.
2
Factor 130896/5*z + 1101708/5*z**2 + 3090903/5*z**3 + 5184/5.
3*(101*z + 12)**3/5
Let c be ((-17 - 3) + -4)*9*(-26)/3159. Let h(q) be the second derivative of 0 + c*q**3 + 32*q - 1/18*q**4 - 64/3*q**2. Factor h(z).
-2*(z - 8)**2/3
Find j such that 1196*j**2 - 4188/7 - 8/7*j**3 + 4192/7*j = 0.
-1, 1/2, 1047
Let j = 3 + 1. Let v(u) = 3*u**2. Let g(f) = 10 + 19 - 5*f**2 - 28 + 0*f - f. Let p(b) = j*g(b) + 7*v(b). Factor p(x).
(x - 2)**2
Let w(x) be the second derivative of x**7/63 + x**6/9 - x**5/5 - 7*x - 354. Factor w(v).
2*v**3*(v - 1)*(v + 6)/3
Let z(o) = -235*o**2 - 2352*o - 16. Let f be z(-10). Let -48/7*d**2 + 6/7*d**5 - 32/7 + 88/7*d + 20/7*d**f - 34/7*d**3 = 0. Calculate d.
-4, -2, 2/3, 1
Let r = -118017 + 236059/2. Factor -r*d + 5/4*d**2 - 55/4.
5*(d - 11)*(d + 1)/4
Let q(k) = k - 1925*k**2 + 5 - 3 + 1926*k**2. Let i(t) = -25*t**2 + 55*t + 20. Let x(z) = i(z) + 30*q(z). Factor x(b).
5*(b + 1)*(b + 16)
Let u = 40504 - 202517/5. Find q such that 48/5*q + u*q**2 + 192/5 = 0.
-8
Let t be 6/8 + 1473/164 + -9. Let k = -84/451 + t. Factor -2/11*m + k*m**2 + 2/11*m**3 - 6/11.
2*(m - 1)*(m + 1)*(m + 3)/11
Let d(u) be the second derivative of 13*u - 13/72*u**4 + 27/2*u**2 - 1/60*u**5 - 2/9*u**3 + 0. Let f(y) be the first derivative of d(y). Solve f(x) = 0 for x.
-4, -1/3
Let y = 4917/730 + 21/1460. What is v in y*v**3 + 3/2*v - 21/4*v**2 - 15/4*v**4 + 0 + 3/4*v**5 = 0?
0, 1, 2
Let t(f) = -3403*f + 282452. Let n be t(83). Solve 0*x - 4/7*x**2 - 4/7*x**n + 0 = 0 for x.
-1, 0
Determine t so that -2/13*t**2 - 480/13 - 76/13*t = 0.
-30, -8
Let l(k) be the second derivative of -k**6/60 + 3*k**5/40 + 5*k**4/2 - 92*k**3/3 + 144*k**2 - 4*k + 1. Find n such that l(n) = 0.
-9, 4
Let -5402/7*i - 2/7*i**3 + 49284/7 + 184/7*i**2 = 0. Calculate i.
18, 37
Let f(m) = 3*m - 89. Let s be f(31). Factor 144*l**2 - 69*l**2 - 76*l**2 + s.
-(l - 2)*(l + 2)
Suppose 165*t = 536*t. Factor 4/13*u**2 + 0 - 2/13*u**3 + t*u.
-2*u**2*(u - 2)/13
Let -377365*p**3 - 1/2*p**5 - 1419/2*p**4 - 89099675*p**2 - 15703345125/2*p + 15882300625/2 = 0. What is p?
-355, 1
Let n(v) be the first derivative of v**6/10 - 6*v**5/5 + 9*v**4/2 - 8*v**3 + 15*v**2/2 + 39*v - 141. Let c(p) be the first derivative of n(p). Factor c(k).
3*(k - 5)*(k - 1)**3
Solve 6/5*j**4 - 6/5*j**2 + 0*j - 2/5*j**5 + 2/5*j**3 + 0 = 0.
-1, 0, 1, 3
Let p(d) be the first derivative of -34/3*d**3 - 221 + 95*d**2 + 1/2*d**4 - 350*d. Let p(o) = 0. Calculate o.
5, 7
Let p(h) be the first derivative of -1/2*h**4 + 1/15*h**5 - 13/2*h**2 + 0*h + 9 - 8/3*h**3. Let t(o) be the second derivative of p(o). Factor t(u).
4*(u - 4)*(u + 1)
Let f(w) = -3*w**4 - 23*w**3 + 3*w**2 + 69*w + 44. Let a(s) = 30*s**4 + 231*s**3 - 27*s**2 - 690*s - 441. Let z(v) = 2*a(v) + 21*f(v). Solve z(k) = 0.
-7, -1, 2
Solve 9 + 4*s**3 - 78*s + 162 - 24 - 96*s**2 + 53 - 30*s = 0.
-2, 1, 25
Suppose -24*u = -6*u - 360. Suppose -2*v + v - 9 = 3*p, 4*v - 2*p = u. Factor v*q**2 - q**4 + 6*q**2 + 4*q**2 - q**3 - 8*q**2 - 3*q.
-q*(q - 1)**2*(q + 3)
Let i(w) be the second derivative of -4/21*w**3 - 17*w - 2 - 1/5*w**5 + 0*w**2 + 3/7*w**4. Factor i(s).
-4*s*(s - 1)*(7*s - 2)/7
Let z(p) = -17*p**3 + 208*p**2 + 905*p + 504. Let y(i) = 16*i**3 - 208*i**2 - 904*i - 504. Let w(q) = 5*y(q) + 4*z(q). Factor w(a).
4*(a - 21)*(a + 3)*(3*a + 2)
Let n = -143282 + 3007675/21. Let t = n - -179/3. Solve -4/7*k**3 - 4/7*k**2 + t + 2/7*k**4 + 2/7*k + 2/7*k**5 = 0 for k.
-1, 1
Suppose 13*f + 4*h = 16*f - 9, 0 = 5*f - 3*h - 15. Find y, given that -8/5*y**2 + 26/5*y**f - 8/5*y**4 + 0 - 24/5*y = 0.
-3/4, 0, 2
Let v(p) be the first derivative of -98 - 12*p**2 + 10/9*p**3 + 24*p. Factor v(c).
2*(c - 6)*(5*c - 6)/3
Suppose -65*i + 71*i + 18 = 0. Let p be (-6)/81*i*(-63)/(-7). Factor 9/4*k - 3/4*k**p + 3.
-3*(k - 4)*(k + 1)/4
Suppose 5*l - a - 8 = 2, -4*l = -3*a + 3. Suppose 0 = l*r + 4*q + 6, -2*r - 8 = -5*q - 27. Let z**2 + z**r - 14*z + 18*z = 0. What is z?
-2, 0
Let b(q) be the second derivative of -q**4/30 - 424*q**3/3 - 224720*q**2 + 2*q + 658. Factor b(l).
-2*(l + 1060)**2/5
Let u be ((-10)/(-8))/((-400)/(-960)). Let r(i) be the first derivative of i**5 - 20/3*i**u + 0*i**2 + 0*i**4 + 0*i + 1. Determine b so that r(b) = 0.
-2, 0, 2
Let y be ((-440)/77 + 6)*(-2247)/(-428). Factor -y*n**2 + 69/2 - 33*n.
-3*(n - 1)*(n + 23)/2
Find l, given that -42*l**3 + 27*l**2 + 101*l**2 + 61 - 92*l - 5 + 6*l**3 - 56*l = 0.
1, 14/9
Let a = 2/82153 - -2135960/739377. Suppose -26/9 + a*g**2 + 2/9*g**3 - 2/9*g = 0. What is g?
-13, -1, 1
Let c be (-1)/(-2) - (-3)/(-6)*-87. Let n = 56 