2*(q + 100)
Let t(a) be the third derivative of -a**5/60 + 73*a**4/24 - 105*a**3 - 5089*a**2. Factor t(u).
-(u - 63)*(u - 10)
Let k(u) = 42 - u**2 - 38 + u + 6*u**2 - u**3. Let d be k(5). Factor -49*i**5 + 54*i**5 + 11*i**2 + 8*i**2 - d*i**2 - 10*i**4 - 5*i.
5*i*(i - 1)**3*(i + 1)
Let 121/4*s - 1/4*s**3 - 15/4*s**2 - 105/4 = 0. What is s?
-21, 1, 5
Let o be 36/360*50/1. Let s(m) be the first derivative of 2/15*m**3 + o - 8/5*m + 0*m**2. Let s(l) = 0. What is l?
-2, 2
Suppose -4*x + 74 = -4*q - 5*x, 0 = 4*x + 8. Let i be ((-12)/36)/((-2)/q)*-1. Factor 4/7*k**2 + 2/7 - 4/7*k**i - 6/7*k**4 - 2/7*k**5 + 6/7*k.
-2*(k - 1)*(k + 1)**4/7
Let m = 348 - 555. Let r = 622/3 + m. Solve r*d**2 + 0 - 2/3*d = 0.
0, 2
Let m(s) = -46*s**2 + 1343*s + 530. Let u(g) = -43*g**2 + 1339*g + 530. Let l(i) = -6*m(i) + 7*u(i). Suppose l(b) = 0. What is b?
-2/5, 53
Factor 7/2*x**2 - 14 - x + 1/4*x**3.
(x - 2)*(x + 2)*(x + 14)/4
Let x(z) be the second derivative of -z**4/32 - 53*z**3/16 - 39*z**2/4 + 1926*z. Solve x(l) = 0.
-52, -1
Suppose 1358*u = 1357*u + 1. Suppose 3*x + q - 10 = 0, 4*q - 7 = 5*x - u. Factor 0 - 3/4*s**x - 3/4*s.
-3*s*(s + 1)/4
Suppose 224*k - 240 = 209*k. Let b be -38*((-14)/392)/(4/k). Determine t, given that -24/7*t + 6*t**5 + 0 + 124/7*t**4 - 104/7*t**2 - b*t**3 = 0.
-3, -2/3, -2/7, 0, 1
Find z such that -5/3*z**2 + 0 + 1/3*z**3 - 2*z = 0.
-1, 0, 6
Let o(r) = 15*r**3 + 45*r**2 - 45*r. Let i(s) = -4*s**3 + s**2. Let v(w) = 5*i(w) + o(w). Let v(h) = 0. Calculate h.
0, 1, 9
Let x(d) = d**4 + d**3 + 2*d - 2. Let l(j) = -8*j**4 - 224*j**3 + 928*j**2 - 952*j + 8. Let c(a) = l(a) + 4*x(a). Solve c(s) = 0.
-59, 0, 2
Let d(k) be the third derivative of 0*k**3 + 1/70*k**7 + 1/4*k**5 + 8*k**2 + 14*k + 0 + 1/5*k**6 - 25/4*k**4. Factor d(w).
3*w*(w - 2)*(w + 5)**2
Let d = 419 - 421. Let p(a) = a**2 - 2*a - 6. Let x be p(d). Factor 0 + 0*l + 1/2*l**3 - 2*l**x.
l**2*(l - 4)/2
Let i(f) = -313*f + 1567. Let q be i(5). Solve g**4 - 16/11*g**q + 3/11*g**3 - 4/11*g**5 - 4/11*g + 0 = 0 for g.
-1, -1/4, 0, 2
Let f = 22 + -16. Suppose b + 2 = -p, 2*p + 12 = -f*b + 2*b. Factor -3*s**2 + s**p + 4*s**2 - s**2.
s**2
Factor -183*t - 1/2*t**4 + 82*t**2 + 189/2 + 7*t**3.
-(t - 21)*(t - 1)**2*(t + 9)/2
Let q be 112/(-80) - (-115)/(-25). Let t be (q/(-24))/(77/88). Let t*l + 0 - 2/7*l**2 = 0. What is l?
0, 1
Let g be (-13)/((-65)/10)*(0 - -17). Factor -7*p**4 - 4*p**2 + 26*p + 0*p**2 + 8 + 14*p**3 - 17*p**4 + g*p**2 + 26*p**4.
2*(p + 1)**3*(p + 4)
Let l(h) be the second derivative of h**7/700 - h**6/450 - h**3/6 - 13*h**2/2 + 43*h. Let k(q) be the second derivative of l(q). Solve k(s) = 0.
0, 2/3
Let a(m) be the second derivative of -m**6/90 + m**5/60 + 61*m**4/36 + 35*m**3/18 - 100*m**2 - 1177*m. Factor a(d).
-(d - 8)*(d - 3)*(d + 5)**2/3
Let -11449 - 11342*b + 427/4*b**2 - 1/4*b**3 = 0. What is b?
-1, 214
Suppose 67*k - 36*k = 124. Let u be k/(-9) + (-17)/((-1071)/154). Factor 3/2*r**5 + 0*r + 0 - 27/2*r**u + 15/2*r**4 + 9/2*r**3.
3*r**2*(r - 1)*(r + 3)**2/2
Suppose 32*b = -0*b + 576. Let z be (48/b - 3)*192/(-20). Factor 2/5 - 12/5*l + z*l**2.
2*(2*l - 1)*(4*l - 1)/5
Let u(t) be the second derivative of 5/21*t**3 - 257*t + 0 + 100/21*t**2 - 1/210*t**5 - 1/21*t**4. What is k in u(k) = 0?
-5, 4
Let m(o) be the third derivative of -51*o**2 + 1/2*o**3 - 1/48*o**4 + 1/240*o**6 - 1/20*o**5 + 0*o + 0. Factor m(u).
(u - 6)*(u - 1)*(u + 1)/2
Let s be ((-6736)/840 - -8)*18*(-21)/6. Let p(k) be the second derivative of -4/15*k**4 + 19*k + 0 + 26/15*k**3 - s*k**2. Factor p(z).
-4*(z - 3)*(4*z - 1)/5
Let v(i) be the second derivative of -i**4/60 + 1903*i**3/30 - 951*i**2/5 + 83*i - 7. Factor v(c).
-(c - 1902)*(c - 1)/5
Let x = 161804 - 323605/2. Factor -21/2*g - x*g**2 + 12.
-3*(g - 1)*(g + 8)/2
Let o(z) be the second derivative of 8/3*z**3 - 8 - 2/21*z**7 - 11/3*z**4 + 0*z**2 + 4*z - 2/15*z**6 + 9/5*z**5. Solve o(u) = 0 for u.
-4, 0, 1
Factor 2/9*y**2 - 226/3 - 676/9*y.
2*(y - 339)*(y + 1)/9
Let n be (7276/(-85))/(-1*(-4)/(-30)). Let o = -640 + n. Factor 1/4*p**o - 1/4*p - 3/2.
(p - 3)*(p + 2)/4
Let c(y) = y**2 + 44*y + 164. Let k be c(-4). Let l(q) be the third derivative of -1/60*q**5 - 1/24*q**k - 12*q**2 + 0 + 0*q + 0*q**3. Solve l(d) = 0 for d.
-1, 0
Let j(k) be the third derivative of k**6/840 - k**5/42 + 4*k**4/21 - 16*k**3/21 + 3779*k**2. Factor j(f).
(f - 4)**2*(f - 2)/7
Let m = 2207 - 119177/54. Let j(t) be the second derivative of m*t**4 + 0 + 1/90*t**5 + 11*t + 0*t**2 - 2/27*t**3. Factor j(u).
2*u*(u - 1)*(u + 2)/9
Let k(y) = -92*y**3 + 60*y**2 + 58*y - 77. Let f = 319 - 302. Let o(w) = 31*w**3 - 20*w**2 - 19*w + 26. Let n(s) = f*o(s) + 6*k(s). Factor n(u).
-5*(u - 1)*(u + 1)*(5*u - 4)
Let k(h) be the second derivative of h**5/180 + 23*h**4/108 + 17*h**3/27 - 28*h**2/3 + 5*h + 70. Suppose k(g) = 0. Calculate g.
-21, -4, 2
Let y(f) be the second derivative of -f**6/30 - f**5/5 + 59*f**4/4 + 30*f**3 - 4242*f. Factor y(r).
-r*(r - 12)*(r + 1)*(r + 15)
Let n(i) be the first derivative of 3*i**4/4 + 2701*i**3 + 5467497*i**2/2 - 5475603*i - 6648. Factor n(h).
3*(h - 1)*(h + 1351)**2
Let h(b) be the first derivative of -25*b**6/6 - 32*b**5 - 85*b**4/2 + 340*b**3/3 + 195*b**2/2 - 180*b - 1459. What is g in h(g) = 0?
-4, -3, -1, 3/5, 1
Let d(u) be the third derivative of -13/20*u**5 + 2 - 123*u**2 + 0*u**3 + 5/8*u**4 + 0*u. Factor d(p).
-3*p*(13*p - 5)
Suppose 0 = k - 2 - 2. Find j such that -k*j**2 + 2*j**2 - 8569*j - 2*j**3 + 8581*j = 0.
-3, 0, 2
Let h(k) be the second derivative of 0*k**2 + 1 + 1/10*k**5 + 0*k**3 - 1/105*k**6 + 60*k - 1/7*k**4. What is g in h(g) = 0?
0, 1, 6
Let k = 10521 + -10521. Let w(m) be the third derivative of 0*m - 26*m**2 + k - 1/30*m**4 + 0*m**3 - 1/150*m**5. Factor w(f).
-2*f*(f + 2)/5
Let f(k) be the third derivative of k**5/20 - 46*k**4 + 367*k**3/2 - 2096*k**2. Determine r so that f(r) = 0.
1, 367
Let p be (2/5*(-10)/12)/((-56)/504). Let h(q) be the first derivative of -1/7*q**3 - 22 + 9/7*q**2 + p*q. Find v such that h(v) = 0.
-1, 7
Factor -447/7*b + 3/7*b**2 + 444/7.
3*(b - 148)*(b - 1)/7
Determine x, given that -2/5*x**2 + 496/5*x + 498/5 = 0.
-1, 249
Let k(m) = -7*m**4 + 23*m**3 - 90*m**2 + 102*m + 210. Let b(a) = -52*a**3 - a**4 - a - 1 + 70*a**3 - 17*a**3. Let x(f) = -6*b(f) + k(f). Factor x(h).
-(h - 6)**3*(h + 1)
Let s(y) = y**5 + 82*y**4 - 170*y**3 - 248*y**2 + 341*y + 335. Let x(g) = g**3 + g - 1. Let r(l) = -3*s(l) + 3*x(l). Solve r(j) = 0 for j.
-84, -1, 2
Let f(t) be the second derivative of -t**7/21 + t**6/15 + 5*t**5/2 - t**4/6 - 56*t**3 - 144*t**2 - 1274*t. What is u in f(u) = 0?
-3, -1, 4
Let b(r) be the third derivative of -r**6/480 + 5*r**5/48 - 23*r**4/48 - 3*r**2 - 2098. Factor b(t).
-t*(t - 23)*(t - 2)/4
Let y be (-8)/5*205/((-5535)/108). What is c in 0 + 192/5*c**3 + 88/5*c**4 + 14/5*c**5 + y*c + 32*c**2 = 0?
-2, -2/7, 0
Suppose -r + 2578 = 444. Solve -151*b**2 + 756*b**2 - 20*b**3 - 2516*b + 1125 - r*b = 0 for b.
1/4, 15
Let q(d) = -1 - d + 3*d - 79*d**2 + 78*d**2. Let v(o) = 75 - 26 + 3*o - 25 - o**2 - 26. Let w(t) = -3*q(t) + 4*v(t). Factor w(u).
-(u - 5)*(u - 1)
Let n(i) = -9*i**2 - 2347*i - 544. Let m(q) = -23*q**2 - 2349*q - 543. Let d(w) = -4*m(w) + 3*n(w). Let d(h) = 0. Calculate h.
-36, -3/13
Let j(k) be the second derivative of k**7/42 + 34*k**6/3 - 3*k**5/20 - 509*k**4/6 + 340*k**3/3 + 6884*k. Factor j(s).
s*(s - 1)**2*(s + 2)*(s + 340)
Let u(t) be the second derivative of -t**5/4 + 55*t**4/12 - 15*t**3/2 + 5*t**2/2 + 8*t + 8. Let w(j) = j + 1. Let y(q) = u(q) - 5*w(q). Factor y(p).
-5*p*(p - 10)*(p - 1)
Let t(h) be the second derivative of h**7/189 - 23*h**6/135 + 29*h**5/15 - 284*h**4/27 + 800*h**3/27 - 128*h**2/3 - 5632*h. Determine d so that t(d) = 0.
1, 2, 4, 12
Let a(f) = 10*f**2 - 5*f + 5. Let l be a(2). Let r = l + -32. Let -30*n**2 - 6*n**4 - 22*n**3 + 12*n**3 - 12*n**r - 4 + 0*n**3 - 18*n = 0. What is n?
-1, -2/3
Let m(s) = -9*s + 12. Let w be m(2). Let c = w - -8. Factor -9*d**c - 19*d - 8*d**2 - 17*d - 8 + d**2.
-4*(d + 2)*(4*d + 1)
Let t(g) be the third derivative of 1/210*g**5 + 432/7*g**3 - 2*g**2 + 0*g - 6/7*g**4 + 1. Factor t(n).
2*(n - 36)**2/7
Let d(b) = 13*b**2 - 65*b + 22. Let l(c) = 58*c**2 - 324*c + 108. Let g(j) = 28*d(j) - 6*l(j). Factor g(m).
4*(m + 8)*(4*m - 1)
Let z(y) be the third deri