+ 1)/13
Factor -44*u**2 - 1391*u + 12*u**3 + 705*u + 12 + 706*u.
4*(u - 3)*(u - 1)*(3*u + 1)
Let -2/3*p**3 + 80/9*p**2 + 0 + 0*p - 2/9*p**4 = 0. What is p?
-8, 0, 5
Let x(i) be the third derivative of i**5/60 - i**4/2 + 5*i**3 - 12*i**2. Let f be x(9). Factor -5*t**4 + 10452 - 10452 + 10*t**f.
-5*t**3*(t - 2)
Suppose 7164*n - 7142*n = 0. Let p(j) be the second derivative of n + 1/110*j**5 + 0*j**2 + 3*j + 1/66*j**4 + 0*j**3. Factor p(b).
2*b**2*(b + 1)/11
Let d(g) be the first derivative of -3*g**5/5 - 129*g**4/4 - 527*g**3 - 2679*g**2/2 + 25992*g - 2244. Factor d(n).
-3*(n - 3)*(n + 8)*(n + 19)**2
Let d(p) be the second derivative of 1/168*p**7 - 1/120*p**6 + 135*p + 0 + 5/24*p**3 - 3/40*p**5 - 1/24*p**4 + 3/8*p**2. What is u in d(u) = 0?
-1, 1, 3
Find g, given that -177/4*g + 1035/8 + 3/8*g**2 = 0.
3, 115
Let p(x) be the first derivative of 1/24*x**4 + 1/3*x**3 - 5/4*x**2 - 4 + 4*x. Let l(y) be the first derivative of p(y). Factor l(q).
(q - 1)*(q + 5)/2
Let s be 31*(680/(-620))/(-17). Let t(d) be the first derivative of 0*d + d**3 + 1/8*d**4 + s*d**2 + 22. Solve t(q) = 0.
-4, -2, 0
Let q(i) be the second derivative of -22/3*i**3 + 0 + 1/56*i**7 + 9/2*i**2 - 23/16*i**5 - 86*i + 11/120*i**6 + 241/48*i**4. Let q(o) = 0. What is o?
-9, 1/3, 1, 2
Let c(w) be the third derivative of -w**6/240 + w**5/40 + 13*w**4/48 - 5*w**3/4 - 1032*w**2. Solve c(o) = 0 for o.
-3, 1, 5
Solve 1/2*v**3 + 27/2*v**2 - 48 + 34*v = 0.
-24, -4, 1
Let z(y) be the first derivative of 7*y**4/8 - 3*y**3/2 + y**2/2 - 1845. Factor z(p).
p*(p - 1)*(7*p - 2)/2
Let 2*x**2 + 112*x + 4*x**2 + x**3 - 108 - 53*x**2 + 16*x**2 = 0. What is x?
2, 27
Let r(k) be the second derivative of 3*k**2 + 17 - 2*k - 5/4*k**4 - 3/2*k**3. Let r(q) = 0. Calculate q.
-1, 2/5
Suppose 267/4*x**2 - 9/4*x**3 - 1095/4*x + 1125/4 = 0. Calculate x.
5/3, 3, 25
Let z be 1482/418 + 228/(-418). Suppose -8 - 8/5*h**z - 202/5*h - 34*h**2 = 0. What is h?
-20, -1, -1/4
Factor 67242 - n**3 - 153*n**2 - 2916*n - 99*n**2 - 75882.
-(n + 6)**2*(n + 240)
Factor -1/5*h**2 - 361805 + 538*h.
-(h - 1345)**2/5
Suppose 158 - 401 = -27*b. Let m(f) be the first derivative of -f**2 - 3/2*f + b + 1/2*f**4 + 1/3*f**3 + 1/10*f**5. Find d, given that m(d) = 0.
-3, -1, 1
Let i be 1/2 - (90/12)/(-5). Factor -26 + 4*y + y**i + 35 - 10*y.
(y - 3)**2
Let z = 2892 - 2887. Let n be ((-20)/(-6))/(2/6). Factor 0*m - n + 0*m - 10 + z*m**2.
5*(m - 2)*(m + 2)
Factor 69/4*d + 9/2*d**2 - 22 + 1/4*d**3.
(d - 1)*(d + 8)*(d + 11)/4
Let m(f) be the third derivative of -f**5/150 - 5*f**4/6 + 177*f**3/5 - 9575*f**2. Factor m(s).
-2*(s - 9)*(s + 59)/5
Let g(f) = 15*f**4 - 10860*f**3 + 1965660*f**2 + 33. Let v(b) = 3*b**4 - 2172*b**3 + 393132*b**2 + 6. Let x(y) = 2*g(y) - 11*v(y). Factor x(a).
-3*a**2*(a - 362)**2
Factor 1/4*l**4 + 9/4*l**2 - 5/2*l**3 - 27 + 27*l.
(l - 6)**2*(l - 1)*(l + 3)/4
Let d(x) be the first derivative of 2*x**5/55 - x**4/11 - 8*x**3/33 + 2*x**2/11 + 6*x/11 - 3180. Solve d(r) = 0 for r.
-1, 1, 3
Let o(a) be the first derivative of -5*a**3/3 - 3435*a**2/2 + 3440*a + 5156. Determine i so that o(i) = 0.
-688, 1
Let w(m) be the second derivative of -15/4*m**2 + 3*m + 1/4*m**4 - 1 + 9/4*m**3. Factor w(z).
3*(z + 5)*(2*z - 1)/2
Let u(i) be the third derivative of -13*i**6/120 - 17*i**5/10 - 179*i**4/24 + 5*i**3 + 161*i**2. Factor u(r).
-(r + 3)*(r + 5)*(13*r - 2)
Let h be (-26)/(-12) + (-176)/(-10824)*-41. Factor h*m**3 + 0 + 0*m - 9*m**2.
3*m**2*(m - 6)/2
Let c(t) be the first derivative of -25/2*t**2 + 13*t - 10/3*t**3 - 7 + 5/12*t**4. Let g(w) be the first derivative of c(w). Factor g(r).
5*(r - 5)*(r + 1)
Let u(i) be the first derivative of 3*i**5/5 - 345*i**4 + 52438*i**3 + 159390*i**2 + 160083*i - 229. Let u(o) = 0. Calculate o.
-1, 231
Let b(s) = 149*s + 755. Let a be b(-5). Suppose a = 16*p - 11*p. Suppose 1/4*f**p + 1 - f = 0. What is f?
2
Determine n, given that 18144 - 264*n**2 - 4/9*n**4 + 432*n - 188/9*n**3 = 0.
-18, 7
Let h(f) = f**4 + 5*f**3 - 105*f**2 - 645*f - 828. Let x(p) = 2*p**4 + 9*p**3 - 211*p**2 - 1291*p - 1668. Let y(q) = -5*h(q) + 3*x(q). Solve y(m) = 0.
-6, -2, 12
Let u be 792/(19 - 1) + 10 + 0. Solve -107/6*f**2 - u*f**5 + 37/2*f**4 - 2/3 - 32/3*f + 194/3*f**3 = 0 for f.
-1, -1/4, -2/27, 2/3, 1
Suppose -2*j = l - 1302, j - l - 718 + 70 = 0. Let y = -648 + j. Factor 15*w**y + 1/2*w**3 + 150*w + 500.
(w + 10)**3/2
Let n(b) = -4*b**4 - 68*b**3 + 77*b**2 + 141*b - 21. Let w(s) = 4*s**4 + 68*s**3 - 76*s**2 - 140*s + 28. Let t(q) = -4*n(q) - 3*w(q). Factor t(z).
4*z*(z - 2)*(z + 1)*(z + 18)
Solve -848/5*l - 34 + 6/5*l**4 - 236*l**2 - 496/5*l**3 = 0.
-1, -1/3, 85
Let m(z) be the third derivative of -76*z**2 + 1/900*z**6 - 1/180*z**4 + 0 + 1/30*z**5 + 0*z - 1/3*z**3. Factor m(o).
2*(o - 1)*(o + 1)*(o + 15)/15
Let m(u) = 9*u**2 - 10*u + 7. Let h be m(-5). Find f such that -20*f - 218*f**2 + f**3 - 73*f**3 - 5*f**5 + f**5 + h*f**2 + 32*f**4 = 0.
0, 1, 5
Let q = -69 - -77. Let m be (q/32 - 422/(-8)) + -4. Determine c, given that 26 - m + 4*c**3 + 23 - 4*c**5 = 0.
-1, 0, 1
Let q be 15 - ((-4)/(-1) + -5)*-3. Suppose 84 = 9*d + q. Solve d*h**3 - 6*h**2 + 19*h**2 - 4*h + 5*h**2 + 14*h**3 = 0 for h.
-1, 0, 2/11
Let p be (-10 - -9)/(-3*(-143)/(-78)). Factor 0 - 30/11*g - p*g**2.
-2*g*(g + 15)/11
Let f(p) be the second derivative of p**5/4 - 35*p**4/12 - 215*p**3/3 - 420*p**2 - 81*p. Find x such that f(x) = 0.
-4, -3, 14
Let c(q) = 3*q**2 + 18*q - 6. Let k(z) = -z**2 + 9*z - 19. Let a be k(8). Let s(d) = -5*d**2 - 35*d + 11. Let g(b) = a*c(b) - 6*s(b). Factor g(p).
-3*p*(p - 4)
Factor -31735113*d**2 - 13725*d + 148840 + 31734543*d**2 - 4*d**3 - d**3.
-5*(d - 8)*(d + 61)**2
Factor -2/21*a**2 + 94/7 - 88/21*a.
-2*(a - 3)*(a + 47)/21
Let x(j) = j**2 + 13*j - 165. Let m be x(8). Let l(h) be the second derivative of -16*h - 1/9*h**m + 1/18*h**4 + 0*h**2 + 0. Suppose l(t) = 0. What is t?
0, 1
Let w(c) be the second derivative of -18*c - 1/20*c**5 + 0 + 3/2*c**3 - 14*c**2 + 1/4*c**4. Let d(x) be the first derivative of w(x). Factor d(f).
-3*(f - 3)*(f + 1)
Solve 1289*o + 4*o**2 + o**2 - 3210 + 1916*o = 0.
-642, 1
Let v be (-2972)/(-27) - (-8)/(-108). Let q be ((-22)/v)/((-4)/5). Suppose 0 - q*j**5 + 1/4*j + 1/2*j**2 + 0*j**3 - 1/2*j**4 = 0. Calculate j.
-1, 0, 1
Suppose 4*z + 0*g = 3*g - 123, -3*g = 4*z + 117. Let b = z + 35. Factor 5 + 3*u**b - 6*u**3 + 3*u + 584*u**2 - 2 + 3*u**4 - 590*u**2.
3*(u - 1)**2*(u + 1)**3
Let g(a) = -957*a - 79427. Let b be g(-83). Suppose 8*w**3 + 12*w**2 - 3*w**b - 9/4*w**5 + 4*w + 0 = 0. Calculate w.
-2, -2/3, 0, 2
Let x(d) = d**5 + d**4 - 5*d**3 + 15*d**2 - 4*d. Let w(k) = k**5 - 3*k**3 + 17*k**2 - 5*k. Let h(r) = 4*w(r) - 5*x(r). Factor h(b).
-b**2*(b - 1)**2*(b + 7)
Let v(n) = -11*n**2 - 6*n. Let c be (4 - 3)/(2/(-26)). Let a(q) = -2*q**2 - 3*q**2 - 3*q + 0*q**2. Let w(x) = c*a(x) + 6*v(x). Factor w(s).
-s*(s - 3)
Suppose 7*m + 7 = 3*n, 21*m - 3*n + 23 = 22*m. Let l(z) be the first derivative of 0*z - 1/10*z**4 + 9 + 2/15*z**3 + 1/5*z**m - 2/25*z**5. Solve l(h) = 0.
-1, 0, 1
Suppose 0 + 0*q**2 + 1/4*q**5 + 0*q - 237/4*q**4 + 0*q**3 = 0. What is q?
0, 237
Let x(b) be the third derivative of 1/70*b**7 + 1/20*b**6 + 10 - 1/4*b**5 - 3/4*b**4 + 0*b - 5*b**2 + 0*b**3. Solve x(o) = 0 for o.
-3, -1, 0, 2
Let h(t) = -328*t**3 + 87*t**2 + 313*t. Let k(x) = 109*x**3 - 31*x**2 - 104*x. Let j(q) = 6*h(q) + 17*k(q). Find m such that j(m) = 0.
-1, 0, 22/23
Let w be (-1682)/174 + 4394/390. Suppose 1/5*z**5 - w*z**2 - 2/5*z**3 + 1/5*z + 4/5*z**4 + 4/5 = 0. What is z?
-4, -1, 1
Let o(j) be the third derivative of 1/8*j**4 + 2/105*j**5 + 3/7*j**3 - 12*j**2 + 1/840*j**6 + 0 + 3*j. Factor o(p).
(p + 2)*(p + 3)**2/7
Factor 27*g**3 - 26*g**2 + 12*g - 87*g**3 + 144 + 31*g**3 + 31*g**3.
2*(g - 12)*(g - 3)*(g + 2)
Let n(v) be the first derivative of -v**4/24 + 2*v**3/9 - v**2/12 - v - 2323. Solve n(a) = 0.
-1, 2, 3
Let z(r) be the second derivative of 2*r**7/21 + 62*r**6/15 + 27*r**5/5 - 91*r**4/3 - 56*r**3/3 + 120*r**2 + 31*r - 2. Determine a so that z(a) = 0.
-30, -2, -1, 1
Let f(h) = -18*h + 184. Let y be f(10). Suppose -12*i + y = -20. Factor 0 - 3/2*g + 1/2*g**i.
g*(g - 3)/2
Let w = 7575 - 7570. Let s(p) be the third derivative of 0*p**7 + 0*p**w + 0*p - 7*p**2 + 0 - 5/336*p**8 + 1/24*p**6 + 0*p**4 + 0*p**3. Factor s