- 2*u**2 + 164. Let i(z) = 0. Calculate z.
-4, -1, 3
Let t(y) be the first derivative of -y**2/2 + 11. Let v(r) = 2*r**2 - 3*r. Let m(a) = -3*t(a) + v(a). Factor m(b).
2*b**2
Let t be -1*((-1 - -12) + -14). Factor 0 - 3/7*z**4 + 3/7*z**t + 3/7*z**2 - 3/7*z.
-3*z*(z - 1)**2*(z + 1)/7
Factor -9*j**3 + 0*j**3 - 15*j**3 + 19*j**3 - 24*j**2 + j**3.
-4*j**2*(j + 6)
Let f = -799 - -6379/8. Let i = f + 55/24. Factor 0 - i*o + 0*o**3 - 1/3*o**4 + o**2.
-o*(o - 1)**2*(o + 2)/3
Let s(b) = 2*b**3 - 6*b**2 - 3*b + 7. Let z(f) = -f**3 + 5*f**2 + 2*f - 6. Let x be -3 - ((-18)/(-3))/(8/(-12)). Let p(y) = x*z(y) + 4*s(y). Factor p(a).
2*(a - 1)*(a + 2)**2
Let d(o) be the second derivative of -o**5/8 - 25*o**4/12 - 66*o. Find f such that d(f) = 0.
-10, 0
Suppose -38/3*x + 384*x**4 + 2/3 + 56/3*x**2 + 416*x**3 = 0. Calculate x.
-1, -1/4, 1/12
Let i(s) = 9*s**3 - 113*s**2 - 227*s - 15. Let n(m) = -5*m**3 + 57*m**2 + 113*m + 9. Let y(h) = -3*i(h) - 5*n(h). Factor y(j).
-2*j*(j - 29)*(j + 2)
Let l(t) = 7*t**3 - 108*t**2 + 3462*t - 39304. Let m(p) = -20*p**3 + 323*p**2 - 10387*p + 117912. Let f(b) = 17*l(b) + 6*m(b). Factor f(s).
-(s - 34)**3
Solve 27 - 14 - 32*o + 13 + 5*o**2 - o**3 + 6*o**2 + 2 = 0.
2, 7
Factor -11/7*f + 4 + 1/7*f**2.
(f - 7)*(f - 4)/7
Let z = -5350 + 58852/11. Let -4/11*j**2 + 4/11 + z*j**3 - 2/11*j = 0. Calculate j.
-1, 1, 2
Let c(u) be the second derivative of u**4/6 - 56*u**3/3 + 77*u. Factor c(z).
2*z*(z - 56)
Let z be ((-61)/((-12383)/(-1044)))/((-10)/7). What is m in z + 6/5*m**2 - 24/5*m = 0?
1, 3
Let t(g) = 2*g**2. Let i be (-15)/(-10) + (-2)/(-4). Let p(f) = 2*f**2 - f + i*f - 3*f**2. Let x(o) = 3*p(o) + t(o). Factor x(w).
-w*(w - 3)
Let j(b) = b**3 - 10*b**2 + 7*b + 22. Let n be j(9). Factor -30*o**2 - 90 + 66 - 57*o + 16*o**n + 4*o**5 - 26*o**2 - 11*o.
4*(o - 2)*(o + 1)**3*(o + 3)
Let p be -3 - (-1 - 28/7). Let x(v) be the first derivative of 0*v - 2/15*v**5 + 1/6*v**4 - 1/3*v**p - 6 + 2/9*v**3. Factor x(j).
-2*j*(j - 1)**2*(j + 1)/3
Let y be (-6)/15 + (-27)/(-5) + 1. Suppose 7*z - 2*z = 30. Factor -3*w**5 - z + 11*w**2 - 12*w + w**2 - y*w**4 + 9*w**3 + 6.
-3*w*(w - 1)**2*(w + 2)**2
Suppose 2*m = 2*f, 38 - 13 = 2*f + 3*m. Suppose 0*x + 4*x + f*w + 17 = 0, -4*w - 26 = -3*x. Factor 2 - 2*d**2 - 2*d**2 + d + 3*d**x.
-(d - 2)*(d + 1)
Let b = 28814 + -604888/21. Find s, given that 2/3*s**5 + 104/21*s + b*s**3 + 220/21*s**2 + 16/21 + 88/21*s**4 = 0.
-2, -1, -2/7
Factor 33*j**3 + 164*j**2 - 523*j**4 + 526*j**4 + 204*j + 120 - 38*j**2.
3*(j + 2)**3*(j + 5)
Suppose 11*g**5 - 48 - 13*g**2 - 2*g**5 + 81*g**4 + 6*g**5 + 120*g**3 - 11*g**2 - 144*g = 0. What is g?
-2, -2/5, 1
Let f(g) be the third derivative of g**7/1155 - g**6/30 + 97*g**5/330 + 2*g**4 + 48*g**3/11 + 3*g**2 - 1. Factor f(m).
2*(m - 12)**2*(m + 1)**2/11
Let k(p) be the second derivative of p**5/15 + p**4/6 + 14*p**2 - 28*p. Let b(r) be the first derivative of k(r). Factor b(h).
4*h*(h + 1)
Let p(w) = w - 8. Let v be p(10). Factor 30*o**v + o**3 - 25*o**2 + o + 5*o.
o*(o + 2)*(o + 3)
Let d be (60/504*-2)/((-10)/144). Solve -32/7*y**3 + 0 - 4/7*y**4 - d*y - 52/7*y**2 = 0.
-6, -1, 0
Let d(f) be the third derivative of -f**6/120 + 3*f**5/10 - 35*f**4/8 + 100*f**3/3 + 57*f**2. What is k in d(k) = 0?
5, 8
Determine w, given that 0 - 8*w - 16/3*w**3 - 4/3*w**4 + 44/3*w**2 = 0.
-6, 0, 1
Let g be (-6 + -2640 - 7) + 1. Let t be (-11362)/g - (1 - (-30)/(-34)). Factor 5/3*i - t - 1/6*i**2.
-(i - 5)**2/6
Let z(o) = o**2 - 1. Let m(f) = f + 13. Let y be m(-14). Let k(x) = 3*x**3 + 2*x**2 + x + 2. Let w(i) = y*k(i) - 3*z(i). Suppose w(u) = 0. What is u?
-1, 1/3
Suppose -2*w - o = -3, 33*o - 29*o + 8 = 2*w. Suppose -1/4*b**w - 1/4*b + 0 = 0. Calculate b.
-1, 0
Let q(h) = 5*h**2 - 17*h - 6. Suppose w - 5*k = 31, 0*w + 19 = -w - 5*k. Let o(z) = -z**2 + z + 1. Let u(s) = w*o(s) + q(s). Factor u(a).
-a*(a + 11)
Let o(i) be the first derivative of -2*i**6/75 + 2*i**5/25 + i**4/5 - 8*i**3/15 - 8*i**2/5 + 17*i - 2. Let b(n) be the first derivative of o(n). Factor b(c).
-4*(c - 2)**2*(c + 1)**2/5
Let f(o) be the second derivative of -o**6/3600 - o**5/600 + o**4/80 + o**3/2 + 6*o. Let p(k) be the second derivative of f(k). Find q such that p(q) = 0.
-3, 1
Suppose 2*l + 5 = -227. Let x = l + 582/5. Factor -2/5*i**4 + 0 - x*i**3 + 0*i**2 + 0*i.
-2*i**3*(i + 1)/5
Let q(o) be the first derivative of -o**3/3 - 2*o**2 - 3*o + 104. Factor q(b).
-(b + 1)*(b + 3)
Let d(a) be the first derivative of 1/9*a**3 + 2*a + 5 - 5/6*a**2. Factor d(o).
(o - 3)*(o - 2)/3
Let t be ((-4)/(-4))/(-2 + 1)*43. Let s = t + 45. Suppose 0*z + 0*z**3 + 2/5*z**5 + 0*z**s + 2/5*z**4 + 0 = 0. What is z?
-1, 0
Let o(t) be the second derivative of -t**6/24 + t**5/6 + 7*t**2 + 5*t. Let n(w) be the first derivative of o(w). Solve n(c) = 0 for c.
0, 2
Let n(s) be the second derivative of s**5/130 + s**4/6 - 29*s**3/39 + 15*s**2/13 - 62*s + 1. Factor n(r).
2*(r - 1)**2*(r + 15)/13
Let r(z) be the second derivative of 289*z**7/35 + 187*z**6/5 + 312*z**5/25 + 6*z**4/5 + 2*z - 21. Let r(g) = 0. Calculate g.
-3, -2/17, 0
Solve 289/5 + 544/5*p + 1/5*p**4 + 222/5*p**2 - 32/5*p**3 = 0.
-1, 17
Let f(d) be the second derivative of -d**5/80 + 57*d**4/8 - 3249*d**3/2 + 185193*d**2 - 52*d. Determine o, given that f(o) = 0.
114
Let l be (-8)/(-88) + 108/990. Let l*m - 1/5*m**3 + 0 + 1/5*m**4 - 1/5*m**2 = 0. What is m?
-1, 0, 1
Let o(x) be the first derivative of -x**4/2 + 20*x**3 - 192*x**2 - 1024*x + 155. Factor o(k).
-2*(k - 16)**2*(k + 2)
Suppose 10*p - 24*p = 25*p. Let t(w) be the second derivative of 0*w**3 + 0 + p*w**2 + 12*w - 1/20*w**4 + 3/100*w**5. Suppose t(g) = 0. Calculate g.
0, 1
Let t be (-1 + 1)*(-108)/(-216). Factor 7/3*n**3 + 1/3*n**4 + t*n + 2*n**2 + 0.
n**2*(n + 1)*(n + 6)/3
Let t(w) = w - 8. Let v be t(11). Factor 2 + 10*h**4 - 2*h**v + 2*h - 12*h**4 - 2 + 2*h**2.
-2*h*(h - 1)*(h + 1)**2
Let s(w) = 6*w**4 + 38*w**3 + 90*w**2 + 50*w. Let y(o) = -7*o**4 - 37*o**3 - 89*o**2 - 47*o. Let a(b) = -3*s(b) - 2*y(b). Let a(c) = 0. What is c?
-7, -2, -1, 0
Let -634*y**2 + 500*y - 698*y**2 + 457*y**2 - 46*y**4 + 154*y**4 - 601*y**2 + 1404*y**3 - 56 = 0. What is y?
-14, 1/3
Let c = -6/787 + 11108/11805. Solve -c*h + 2/5*h**2 - 4/5 = 0.
-2/3, 3
Let g be (-1 + 7)/(27/9). Let l be (g*(-3)/84)/((-1)/4). Factor 0 + l*t + 2/7*t**2.
2*t*(t + 1)/7
Let g(a) = a**3 + a**2 - 2*a + 2. Let n(v) = -v**2 - 3*v - 2. Let l be n(-1). Let z be g(l). Factor -4*y**z - 16*y**3 + 0*y**2 + 14*y**3 + 4 + 2*y.
-2*(y - 1)*(y + 1)*(y + 2)
Let t(g) = -66*g**2 + 19*g + 9. Let n(j) = -925*j**2 + 265*j + 125. Let v = -1 - -7. Let p(s) = v*n(s) - 85*t(s). Determine k, given that p(k) = 0.
-1/3, 3/4
Let j be (3/3)/(4/36). Let m = j + -7. Factor 3 + 3 - 2 - 9*q + 3*q**2 + m.
3*(q - 2)*(q - 1)
Let p = -178 + 182. Let a = 184 - 184. Factor 10/3*f**3 + 0*f**2 + a*f + 5/3*f**5 - 5*f**p + 0.
5*f**3*(f - 2)*(f - 1)/3
Let o = 1582/3 + -1580/3. Factor 98/3 - 56*w + 8*w**3 + o*w**4 + 44/3*w**2.
2*(w - 1)**2*(w + 7)**2/3
Suppose -2*i = -3*x + 444 + 61, x - 175 = 2*i. Factor 56*q**3 - x*q**3 + 152*q**2 + 450*q**4 - 16*q - 351*q**3.
2*q*(5*q - 2)**2*(9*q - 2)
Let q be (2/75)/((-2)/(-10)). Let v(g) = 8*g**2 + 113*g + 16. Let p be v(-14). Suppose -q - 4/15*z - 2/15*z**p = 0. What is z?
-1
Let -9/5*b**3 + 9/5*b - 1/5*b**4 + 11/5*b**2 - 2 = 0. What is b?
-10, -1, 1
Let b(q) be the third derivative of -q**6/120 + 31*q**5/60 - 28*q**4/3 - 128*q**3/3 + 126*q**2. Factor b(k).
-(k - 16)**2*(k + 1)
Let n(f) be the second derivative of -f**4/20 - 14*f**3/5 + 87*f**2/10 - 2*f - 75. Suppose n(a) = 0. Calculate a.
-29, 1
Let a(q) be the third derivative of -2*q**7/525 - 11*q**6/50 + 34*q**5/75 + 269*q**2. Factor a(m).
-4*m**2*(m - 1)*(m + 34)/5
Let m be 3 + (1/(-38)*-4 - (-5699)/(-2337)). Suppose -2/3*y**2 - 1/6*y**3 + m + 1/6*y = 0. Calculate y.
-4, -1, 1
Suppose 6 = 4*s + 20*l - 19*l, -4*s + 3*l = -30. What is o in -10*o**2 + 50*o - 250/3 + 2/3*o**s = 0?
5
Let m = 6353 + -6353. Factor 9/8*j + 3/8*j**2 + m.
3*j*(j + 3)/8
Factor 3/2*i**2 + 30 + 18*i.
3*(i + 2)*(i + 10)/2
Let i(g) = -5*g**4 - 16*g**3 + 23*g**2 + 90*g + 4. Let x(r) = 5*r**4 + 17*r**3 - 21*r**2 - 90*r - 3. Let l(d) = 3*i(d) + 4*x(d). Factor l(s).
5*s*(s - 2)*(s + 3)**2
Let i(q) be the third derivative of q**5/180 + 5*q**4/18 + 50*q**3/9 - 43*q