(g + 1)**2
Let f(s) be the third derivative of s**5/210 + 439*s**4/84 - 440*s**3/21 + 2076*s**2. Solve f(w) = 0.
-440, 1
Let r = -38 - -98. Let w be (3/6)/(6/r). Factor -9*o**5 - 19*o**w + 4*o - 64*o**3 - 72*o**3 - 4 + 64*o**2 + 104*o**4 - 4.
-4*(o - 1)**4*(7*o + 2)
Let u(r) be the second derivative of 24/7*r**2 - 13/84*r**4 + 137*r + 20/21*r**3 - 1/35*r**5 + 0 + 1/210*r**6. What is o in u(o) = 0?
-3, -1, 4
Let q(c) = -40*c**3 - 1792*c**2 - 1090*c - 166. Let o(h) = 119*h**3 + 5377*h**2 + 3267*h + 497. Let y(a) = -2*o(a) - 7*q(a). Factor y(k).
2*(k + 42)*(3*k + 1)*(7*k + 2)
Let u = 70006 + -46383. Suppose -u*a**2 - 72 + 27 + 23628*a**2 = 0. Calculate a.
-3, 3
Let d = -1061101 + 1061103. Factor -1/5*l**d - 38/5 - 21/5*l.
-(l + 2)*(l + 19)/5
Let u be (-40)/(-200) - (-3 + 252/(-15)). Let t(r) be the first derivative of -1/18*r**4 + u - 8/9*r**3 - 32/9*r + 28/9*r**2 + 2/45*r**5. Factor t(h).
2*(h - 2)**2*(h - 1)*(h + 4)/9
Let m(g) be the first derivative of -4/3*g - 16 + 2/3*g**2 + 1/3*g**3. Factor m(f).
(f + 2)*(3*f - 2)/3
Let r = -1419746 - -1419750. Determine i so that -48/7 + 2/7*i**r - 12/7*i**2 - 8*i + 6/7*i**3 = 0.
-2, 3
Let a = -1486 - -1529. Let y(n) = n**3 - 42*n**2 - 40*n - 127. Let v be y(a). Factor 4/7*m**v + 0 + 8/7*m - 4/7*m**3.
-4*m*(m - 2)*(m + 1)/7
Let p(l) = 88*l**2 - 5335*l - 2013. Let t be p(61). Suppose -4*o - 4 + 12 = 0. Factor 16/13*q + 2/13*q**3 + 12/13*q**o + t.
2*q*(q + 2)*(q + 4)/13
Let n(d) be the second derivative of 3*d**5/100 + 3*d**4/4 + 7*d**3/5 - 9*d + 1. Find s such that n(s) = 0.
-14, -1, 0
Let a = 14431 + -2698591/187. Let h = 1538/1309 - a. What is y in 34/7*y**2 - 32/7*y**4 + 128/7*y**5 - 136/7*y**3 - 2/7 + h*y = 0?
-1, -1/4, 1/4, 1
Let b(z) = 2*z**3 + 29*z**2 + 15*z + 30. Let d be b(-14). Let i be (6 - 2 - 1) + 36/d. Factor i*n + 9/4*n**3 - 6*n**2 - 3/2.
3*(n - 1)**2*(3*n - 2)/4
Let k(n) be the second derivative of 0*n**2 - 9*n - 1/70*n**6 + 1/14*n**3 + 1/28*n**4 + 3 - 3/140*n**5. Let k(w) = 0. Calculate w.
-1, 0, 1
Factor -71/5 + 14*z + 1/5*z**2.
(z - 1)*(z + 71)/5
Let s(g) = -1477*g + 32494. Let r be s(22). Factor r + 1/5*n**2 + 1/5*n.
n*(n + 1)/5
Suppose 16 = 2*f + 12. Factor 109*u**2 - 48 + 208*u - 44*u**f - 29*u**2.
4*(u + 6)*(9*u - 2)
Let z(p) be the second derivative of p**5/60 + 329*p**4/18 + 108241*p**3/18 + 109*p + 3. Factor z(y).
y*(y + 329)**2/3
Let d(w) be the second derivative of 2/27*w**4 + 1/27*w**6 - 268*w + 2/15*w**5 + 0 + 0*w**2 + 0*w**3. Solve d(g) = 0 for g.
-2, -2/5, 0
Suppose 12*s - 2*s + 20 = 0. Let j(n) = n**2 + 2*n + 4. Let o be j(s). Determine x so that 12 - 24*x**2 - 7 + 16*x**3 + 5*x - o*x**4 + 11*x - 9 = 0.
1
Let l(r) = 7*r**3 - 2*r**2 - 3*r + 4. Let w(t) = -30*t**3 + 8*t**2 + 12*t - 17. Suppose 5*v - 16 = -6. Let i(z) = v*w(z) + 9*l(z). Find p, given that i(p) = 0.
-1, 2/3, 1
Suppose -2 = 8*d - 18. Let r be (-1 + 9)/d - 0/(-3). Solve 44*p - r*p**3 + 3*p**3 + 24 + 16*p**2 - 8*p**3 + 5*p**3 = 0 for p.
-1, 6
Let y(c) be the second derivative of 0*c**2 + 4/21*c**3 + 1/42*c**4 + 0 - 83*c. Solve y(k) = 0 for k.
-4, 0
Solve -184/17 + 18/17*y**2 - 1654/17*y = 0.
-1/9, 92
Suppose 6*i + 5*c = 5*i - 20, 3*i - 5*c - 20 = 0. Let m be (5 + 45/(-10))*i. Let 0*p - 5/2*p**2 + m = 0. Calculate p.
0
Let y be ((-3744)/512)/(45/(-12) + 0). Let i = 469/220 - y. Factor -i - 8/11*n**2 + 10/11*n.
-2*(n - 1)*(4*n - 1)/11
Let 66974/7*n**2 - 9464 - 726/7*n**4 - 9360*n + 65518/7*n**3 + 2/7*n**5 = 0. Calculate n.
-1, 1, 182
Factor 0 + 67/5*s - 1/5*s**3 - 66/5*s**2.
-s*(s - 1)*(s + 67)/5
Let g be (-414)/(-759) - (-120)/22 - (1 - -3). Let x(t) be the second derivative of t + 0*t**3 + 0 + 3/4*t**g - 1/8*t**4. Solve x(c) = 0 for c.
-1, 1
Suppose n + o - 34 = 2*n, -2*n - 3*o - 78 = 0. Let s be (4/n)/((-2)/66). Determine i so that s*i**3 + 2/3 - 7/3*i - 4/3*i**5 + 5/3*i**4 - 7/3*i**2 = 0.
-1, 1/4, 1, 2
Let l(a) be the first derivative of -4/3*a + 1/5*a**2 + 2/45*a**3 + 31. Factor l(w).
2*(w - 2)*(w + 5)/15
Let u(w) be the third derivative of w**6/40 + 9*w**5/5 + 99*w**4/8 - 10667*w**2. Let u(n) = 0. Calculate n.
-33, -3, 0
Let r = -180 - -184. Find q such that -3*q**3 + 2*q**r - 60*q**2 + 94*q**2 - 20*q - 13*q**3 = 0.
0, 1, 2, 5
Let m be ((-4 + 4)/((-3)/(-3)))/1. Suppose m = 62*h - 67*h + 15. Find z, given that -20*z**4 + 4 + 24*z**h - 7*z + 21*z**2 - 17*z - 5*z**2 = 0.
-1, 1/5, 1
Let z = 2415 + -3938. Let b = z - -1523. Find w, given that -3/2*w + 1/4*w**2 + b = 0.
0, 6
Let n(z) be the second derivative of 2*z**6/15 - 59*z**5/50 - 18*z**4/5 + 227*z**3/15 - 14*z**2 + 2*z - 1928. Suppose n(f) = 0. Calculate f.
-5/2, 2/5, 1, 7
Let w(i) = 9*i**2 - 123*i + 708. Let f(x) = 2*x**2 + 17*x + 1. Let l(m) = -6*f(m) + w(m). Let l(p) = 0. What is p?
-78, 3
Let s be (-100)/(-240)*11/11. Let p(f) be the second derivative of -s*f**4 + 20/3*f**3 + 0 - 40*f**2 - 21*f. Factor p(l).
-5*(l - 4)**2
Suppose 9*l + 100*l - 95*l = 11 + 31. Let m be (-1)/2 + (-15)/(-12). Factor 0 - z - z**2 + z**4 + m*z**l + 1/4*z**5.
z*(z - 1)*(z + 1)*(z + 2)**2/4
Let k(d) be the second derivative of -4*d**6/3 - 901*d**5/5 - 813601*d**4/120 - 2703*d**3/2 - 405*d**2/4 - 3826*d. Solve k(s) = 0.
-45, -1/20
Let q = 4636/5745 - 8/1149. Determine d so that q*d - 2/5 - 2/5*d**2 = 0.
1
Let i be 3/((-6)/4 + 3). Let f be (-8)/(-3) - (21/(-9) + i). Let -12*g**2 - 477*g**f - 2 + 2 + 480*g**3 = 0. What is g?
0, 4
Let c(a) = -2*a**3 + 128*a**2 + 274*a + 144. Let o(z) = 8*z**3 - 514*z**2 - 1096*z - 574. Let g(p) = 22*c(p) + 6*o(p). Factor g(h).
4*(h - 69)*(h + 1)**2
Let p(c) be the first derivative of 93 + 0*c**4 + 0*c + 2/15*c**6 + 0*c**3 + 0*c**2 + 4/25*c**5. What is a in p(a) = 0?
-1, 0
Let x(m) = -95*m + 81. Let n be x(-7). Let q = -743 + n. Factor 16/21 + 8/7*z + 4/7*z**2 + 2/21*z**q.
2*(z + 2)**3/21
Suppose 44*h**3 + 45*h**3 + 111*h**2 + 177*h - 168*h**3 + 49*h**3 + 81 + 45*h**3 = 0. Calculate h.
-27/5, -1
Factor -20*q**4 + q**5 - 857*q + 241*q + 840 + 135*q**3 - 6*q**5 - 244*q + 70*q**2 + 0*q**5.
-5*(q - 2)**3*(q + 3)*(q + 7)
Let -25*g**3 - 856*g + 1400 + 650*g**2 - 150*g - 2764*g + 35*g**2 = 0. What is g?
2/5, 7, 20
Let c(x) be the third derivative of 25*x**2 + 1/8*x**3 + 0*x + 1/32*x**4 + 0 - 1/40*x**5 + 1/448*x**8 + 1/280*x**7 - 1/80*x**6. Find q such that c(q) = 0.
-1, 1
Let h(i) be the third derivative of -169*i**6/540 + 7865*i**5/54 + 3028*i**4/27 + 932*i**3/27 + 1243*i**2. Find b such that h(b) = 0.
-2/13, 233
Let c(g) be the first derivative of -g**5/5 - 10*g**4 + 127*g**3/3 - 43*g**2 - 1408. Find z such that c(z) = 0.
-43, 0, 1, 2
Let c(n) be the third derivative of -546121*n**5/360 - 739*n**4/36 - n**3/9 + 793*n**2 + 2. Factor c(p).
-(739*p + 2)**2/6
Let s(y) be the second derivative of -158*y + 1/28*y**7 + 0*y**2 - 11/60*y**6 - 1/6*y**4 + 0*y**3 + 0 + 3/10*y**5. Determine v, given that s(v) = 0.
0, 2/3, 1, 2
Let s(l) be the second derivative of 25*l**7/21 + 4*l**6 + 37*l**5/10 - l**4 - 8*l**3/3 + 1112*l. What is g in s(g) = 0?
-1, -4/5, 0, 2/5
Let d be -5 + 11/((-33)/24). Let y(p) = -p - 11. Let t be y(d). Suppose 2/11*s**3 - 6/11*s**t + 6/11*s - 2/11 = 0. What is s?
1
Let f = 3017 - 3015. Let o(m) be the second derivative of -49/2*m**f + 1 - 1/48*m**4 + 2*m + 7/6*m**3. Factor o(j).
-(j - 14)**2/4
Factor 192 + 160 - 22*j**2 - j**3 + 3*j**3 + 40*j + 148 - 436.
2*(j - 8)*(j - 4)*(j + 1)
Suppose -17*p - 318 = -2868. Let -2847 - 81*y**3 + p*y**2 + 3*y**5 - 72*y + 2847 = 0. What is y?
-6, 0, 1, 4
Determine h, given that 46/5*h**4 + 42/5*h**3 - 46/5*h**2 + 2/5*h**5 - 44/5*h + 0 = 0.
-22, -1, 0, 1
Let d(a) be the first derivative of a**4/14 + 120*a**3/7 + 708*a**2/7 + 1408*a/7 + 1039. Suppose d(v) = 0. Calculate v.
-176, -2
Let y = -2104/125 + 2904/125. Factor -4/5*h**2 + 0 - y*h.
-4*h*(h + 8)/5
Let h be (138880/(-210))/(-64) - (0 + 9)*1. Let 0 + 0*w**3 + 2/3*w**4 - h*w - 2*w**2 = 0. What is w?
-1, 0, 2
Let t(q) be the third derivative of q**8/1680 - q**7/175 - q**6/24 - 3*q**5/50 + 1169*q**2. Factor t(o).
o**2*(o - 9)*(o + 1)*(o + 2)/5
Let x(g) be the second derivative of -3/7*g**2 + 0 + 165*g - 1/35*g**5 - 1/28*g**4 + 25/42*g**3. Factor x(f).
-(f - 2)*(f + 3)*(4*f - 1)/7
Let j be 9 + (-6)/8*(-6204)/(-705). Find u, given that 0*u**2 + j*u - 3/5*u**4 - 9/5*u**3 + 0 = 0.
-2, 0, 1
Let b(w) be the second derivative of w**5/20 + 35*w**4/12 + 16*w**3/3 - 34*