 of q(f). Factor w(y).
2*(y + 1)*(y + 2)/9
Let c(w) be the second derivative of 14*w + 56*w**2 - 1 - 20*w**3 + 3*w**4 - 1/10*w**5. Factor c(v).
-2*(v - 14)*(v - 2)**2
Let s be (28/(-110))/((-96)/1280)*42/28. Determine t so that s*t + 84/11*t**3 + 122/11*t**2 + 8/11 + 18/11*t**4 = 0.
-2, -1/3
Let w be ((-3)/2)/((-96)/360 + (-2)/5). Let b(a) be the first derivative of -11 - 1/32*a**4 - w*a + 3/16*a**2 + 1/6*a**3. Solve b(o) = 0 for o.
-2, 3
Let c(a) be the second derivative of a**6/90 + 3*a**5/10 + 11*a**4/36 - 17*a**3/3 - 3292*a. Factor c(x).
x*(x - 2)*(x + 3)*(x + 17)/3
Let n be ((-624)/(-40) - 15)/(45/300). Solve 0 + 12/5*x**3 + 16/5*x**5 + 4*x**2 - 12/5*x - 36/5*x**n = 0 for x.
-3/4, 0, 1
Suppose -1474*i = -1477*i + 171. Suppose 2*v = 2*t - 3*t + 96, 4*v - 220 = 5*t. What is q in -v*q + 87*q - 24 - i*q - 4*q**2 = 0?
-3, -2
Let h be 13/(-3) - (-12138)/2601. Suppose w + 0*w = 3. Let 0*q - h + 2/3*q**w + q**2 = 0. What is q?
-1, 1/2
Let b(f) be the third derivative of 7*f**5/5 - 55*f**4/8 - f**3 + 2840*f**2. Factor b(t).
3*(t - 2)*(28*t + 1)
Let i(v) = -6*v**2 + 2*v + 80. Let s(c) = -c**2 - c + 4. Let l(u) = i(u) - 5*s(u). Factor l(h).
-(h - 12)*(h + 5)
What is w in -360/7*w + 183/7*w**3 + 3/7*w**4 + 174/7*w**2 + 0 = 0?
-60, -2, 0, 1
Let k(s) be the third derivative of -s**6/90 - 232*s**5/15 - 40135*s**4/6 + 487204*s**3/9 - 57*s**2 - 16*s. Find z such that k(z) = 0.
-349, 2
Let z be (688/(-48) - -12)*-2. Let y(k) be the third derivative of 0*k - z*k**3 + 3*k**2 - 1/3*k**4 + 0 - 1/105*k**5. Factor y(c).
-4*(c + 7)**2/7
Let y(t) be the first derivative of -3*t**6/16 + 953*t**5/20 + 8155*t**4/32 + 2855*t**3/6 + 1511*t**2/4 + 108*t - 7072. Find i, given that y(i) = 0.
-2, -1, -2/9, 216
Determine i, given that i**4 + 3*i**2 + 10*i**3 + 977*i**5 + i**2 - 486*i**5 - 495*i**5 + i**4 = 0.
-1, -1/2, 0, 2
Let d(h) be the first derivative of h**6/60 - h**5/5 + 5*h**4/12 - h**2 - 17*h - 46. Let o(x) be the second derivative of d(x). Solve o(a) = 0.
0, 1, 5
Suppose 3*f - 4*k = -2, 4*f - 29 = 2*k - 3*k. Factor 4*v**2 - v**2 - f*v**2 - 64*v + 512 - v**2 + 6*v**2.
2*(v - 16)**2
Let o(s) be the second derivative of -7*s**6/60 - 13*s**5/10 - 15*s**4/4 + 9*s**3 + 19*s**2 + 43*s. Let c(v) be the first derivative of o(v). Factor c(z).
-2*(z + 3)**2*(7*z - 3)
Solve 90*j**2 - 561/2*j + 189 + 3/2*j**3 = 0 for j.
-63, 1, 2
Factor 2/3*q**3 + 0*q - 1/3*q**4 - 1/3*q**5 + 0 + 0*q**2.
-q**3*(q - 1)*(q + 2)/3
Suppose -28*f = -61*f + 33. Let -28*q + 10*q - 6*q**3 + 3 - f + 2 + 20*q**2 = 0. What is q?
1/3, 1, 2
Let m(f) be the first derivative of 0*f - 130 - 2/15*f**3 + 9/5*f**2. Factor m(h).
-2*h*(h - 9)/5
Let o(k) be the third derivative of k**6/540 - 43*k**5/135 - 44*k**4/27 + 10*k**2 + 2*k - 23. Factor o(x).
2*x*(x - 88)*(x + 2)/9
Let f be 2 - (-15)/(-6) - 34/(-4). Suppose 3*b - 4*p = -6 - 1, 5*p - f = 4*b. Factor 106*q**4 + 4*q + b*q**2 + 0*q**2 - 105*q**4 + 3*q**2 - 8 - 5*q**3.
(q - 2)**3*(q + 1)
Suppose -68 - 8 = -29*u + 11. Let x(n) be the third derivative of 4*n**2 + 0*n**4 + 1/24*n**6 + 1/4*n**5 + 0 - 10/3*n**u + 0*n. Factor x(m).
5*(m - 1)*(m + 2)**2
Let d = 82780 - 82777. Factor d*n - 1/2*n**2 - 4.
-(n - 4)*(n - 2)/2
Suppose -63 - 89 = -17*u - 50. Let w(k) be the second derivative of 0*k**2 + 0 + 1/15*k**u - 5*k + 0*k**3 + 0*k**5 - 1/21*k**7 + 0*k**4. Factor w(a).
-2*a**4*(a - 1)
Suppose 0 = -825*z + 18049 + 5876. Find g such that z*g + 38*g**2 - 7/3*g**3 - 34/3 = 0.
-1, 2/7, 17
Suppose -12*q + 389 - 1553 = 0. Let d = q - -99. Find y, given that -82*y - 196 + 26*y - 3*y**2 + y**2 - d*y**2 = 0.
-7
Let u(a) = -11*a**2 - a + 1. Let s(o) = -54*o**2 - 1857*o + 857481. Let d(t) = s(t) - 5*u(t). Factor d(p).
(p - 926)**2
Suppose -t - 3*n + 4*n = -1, 2*t - n - 5 = 0. Suppose t*d - 2*x = -4, -x = -5*d + 3*x - 8. Factor -2/9*o**4 + 2/9*o**2 + d + 2/9*o - 2/9*o**3.
-2*o*(o - 1)*(o + 1)**2/9
Factor -261/4*k + 39 - 21/4*k**2.
-3*(k + 13)*(7*k - 4)/4
Let g(i) = -i**3 - 5*i**2 + 10*i + 5. Let l be g(-10). Solve -12*j**2 - 10*j**2 - l*j + 294 - 2*j**3 + 391*j = 0.
-7, 3
Factor -18000 - 1522*u**2 - 1210*u**2 + 2952*u**2 + 2400*u + 4*u**3.
4*(u - 5)*(u + 30)**2
Let l(d) = 13*d**2 - 9*d + 37. Let u be l(5). Let m = u + -315. Factor 2/7*f + 0 + 2/7*f**3 + 4/7*f**m.
2*f*(f + 1)**2/7
Let y be (-4 - -6) + 1 + -3. Let g = 65/23 - 149/69. Determine l, given that 0 + g*l**4 + 2/3*l**3 - 2/3*l**2 - 2/3*l**5 + y*l = 0.
-1, 0, 1
Find o such that 2165*o + o**3 + 340*o**2 - 5055 + 6885 + 4*o**3 = 0.
-61, -6, -1
Find o, given that -63/2*o**3 + 5/8*o**4 + 345/8*o**2 + 0 - 49/4*o = 0.
0, 2/5, 1, 49
Let a(s) = -5*s**2 + 2*s + 4. Let m(i) = -1. Let l(k) = -a(k) - 4*m(k). Let r(y) = 9*y**2 - 4*y. Let x(c) = 10*l(c) - 6*r(c). Determine o, given that x(o) = 0.
0, 1
Let f = -37804 - -191697/5. Let q = f + -535. Suppose 4/5*c**2 - 4/5 + 2/5*c**3 - q*c = 0. Calculate c.
-2, -1, 1
Let u = 519626/7 + -74232. What is s in -1156/7 + 64/7*s**2 - 442/7*s - u*s**3 = 0?
-2, 17
Suppose 3*l + 255 = -3*o + 6*o, 0 = -4*l - 4. Let u be 6*5/75*5. Find b, given that -o*b**u - 27 - 147/2*b**3 + 225/2*b = 0.
-2, 3/7
Determine s, given that 1986/7*s + 0 - 2/7*s**2 = 0.
0, 993
Let z(d) be the second derivative of d**6/45 - 637*d**5/30 + 16960*d**4/3 - 11236*d**3 - 10462*d. Factor z(r).
2*r*(r - 318)**2*(r - 1)/3
Let s(p) be the first derivative of p**5/390 - 3*p**3/13 - 39*p**2/2 - 25. Let n(v) be the second derivative of s(v). Find y such that n(y) = 0.
-3, 3
Suppose -23*f + 4725 = -2*f. Suppose -68 = -7*d - 47. Let 750*y + 30*y**d - 3/2*y**4 - f*y**2 - 1875/2 = 0. Calculate y.
5
Let p(i) = 760*i**3 - 772*i**2 - 762*i + 772. Let s(x) = x**4 - 1518*x**3 + 1546*x**2 + 1523*x - 1547. Let g(l) = 10*p(l) + 4*s(l). Factor g(a).
4*(a - 1)**2*(a + 1)*(a + 383)
Let g(y) = -92*y + 658. Let n be g(-5). Let p = -1115 + n. Factor 14/5*r**p - 24/5*r**2 + 4/5 + 6/5*r.
2*(r - 1)**2*(7*r + 2)/5
Let v(x) be the third derivative of 97*x**2 + 0 + 0*x + 0*x**3 - 1/1092*x**8 - 1/65*x**7 - 1/13*x**4 - 1/390*x**5 + 3/65*x**6. Find m, given that v(m) = 0.
-12, -1/2, 0, 1
Let q(r) be the first derivative of -r**5/120 + r**2/2 + 14*r - 30. Let w(t) be the second derivative of q(t). Factor w(p).
-p**2/2
Suppose 0 = 4*z - 16, 2*f + 2*z + 623 = 683. Let h(n) be the first derivative of -f + 1/9*n**3 + 64/3*n + 8/3*n**2. Find t, given that h(t) = 0.
-8
Let b(g) = g - 4. Let j be b(16). Suppose 4*w - j = 2*l, -4 = -5*w + 21. Factor -l*f + 3*f - 16 - 13*f + 0*f**2 + 2*f**2.
2*(f - 8)*(f + 1)
Let c(w) = 2*w**4 - 17*w**3 + 9*w**2 + 40*w + 20. Let v(l) = -l**2 + 2*l + 59. Let o be v(-7). Let r(f) = f**3 - 1. Let s(t) = o*r(t) - c(t). Factor s(a).
-(a - 4)**2*(a + 1)*(2*a + 1)
Let a(h) be the first derivative of -h**4/2 - 16*h**3/3 + 79*h**2 - 140*h + 3114. Factor a(s).
-2*(s - 5)*(s - 1)*(s + 14)
Let v(k) = -4*k + k**2 + 107 - 107. Let j(p) = -2*p**2 + 8*p. Let o(a) = 2*j(a) + 5*v(a). Solve o(t) = 0.
0, 4
Let u(p) be the third derivative of -59*p**2 - 1/30*p**5 + 1/2*p**3 + 1/240*p**6 + 0*p + 0 + 1/48*p**4. Let u(d) = 0. What is d?
-1, 2, 3
Let k(a) be the first derivative of -7*a**6/30 - 9*a**5/20 + 5*a**4/12 + 3*a**3/2 + a**2 + 192*a - 53. Let w(j) be the first derivative of k(j). Factor w(v).
-(v - 1)*(v + 1)**2*(7*v + 2)
Let a = -16824 - -23166649/1377. Let q = a - -1373/5508. Solve -11/4 + 5/2*d + q*d**2 = 0 for d.
-11, 1
Suppose -105/2*t**2 + 27 + 939/2*t = 0. What is t?
-2/35, 9
Let k(s) be the second derivative of s**7/84 - s**6/10 - 11*s**5/8 + 101*s - 1. Factor k(m).
m**3*(m - 11)*(m + 5)/2
Suppose -4*i + 44 = 2*x, 0 = 2*i + i + 5*x - 40. Suppose 0 = 2*w - 3*t + 9, -6 = 13*w - i*w - 3*t. Factor r - 1/4*r**4 + 0*r**2 + 0 - 3/4*r**w.
-r*(r - 1)*(r + 2)**2/4
Let s = -602999/1230 - -47/615. Let f = s - -981/2. Let 0 + 1/3*j**2 - f*j - 1/3*j**4 + 1/3*j**3 = 0. What is j?
-1, 0, 1
Let s(o) be the third derivative of o**5/300 + o**4/5 + 22*o**3/15 - 1932*o**2. Find q such that s(q) = 0.
-22, -2
Let q(m) be the second derivative of 1873/3*m**4 + 0 - 2/21*m**7 - 1184*m**3 + 34/5*m**6 - 244*m + 1152*m**2 - 723/5*m**5. Let q(v) = 0. Calculate v.
1, 24
Let v be ((-64)/(-8))/((-1)/(-1)). Suppose -11*n**2 - v*n**3 - 5*n**2 - 12*n + 14 + 14*n**3 + 2*n**4 + 6*n**3 = 0. Calculate n.
-7, -1, 1
Let t(h) be the first derivative of 2*h - 4/3*h**6 + 16 - 5/4*h**4 + 13