
-1, -2/3, 1/3
Let m(z) be the second derivative of -z**4/102 - 4*z**3/17 + 160*z**2/17 - 3398*z. Solve m(n) = 0.
-20, 8
Let w(y) = 18. Let a(m) = -4*m**3 - 12*m**2 + 100*m - 12. Let l(d) = a(d) - 4*w(d). Solve l(n) = 0.
-7, 1, 3
Let t be 395/(-45) - (1 + 14/(-18)). Let y be ((5 + -4)/t)/(4/(-6)). Let 0*x + y*x**2 + 0 = 0. What is x?
0
Let t(d) be the third derivative of 7*d**2 + 3/16*d**4 + 0 - d**3 + 0*d + 1/40*d**5. Determine q, given that t(q) = 0.
-4, 1
Let r(g) be the third derivative of -2*g**2 + 0 + 2/15*g**3 - 1/75*g**5 + 23*g + 0*g**4. Factor r(l).
-4*(l - 1)*(l + 1)/5
Let v be (-2)/(-11) + 8976/6534. Let s(f) be the first derivative of v*f**2 - 2/27*f**3 - 98/9*f - 2. Factor s(c).
-2*(c - 7)**2/9
Let w(z) be the third derivative of z**6/80 + 57*z**5/40 - z**4/16 - 57*z**3/4 + 522*z**2 - 3*z. Factor w(v).
3*(v - 1)*(v + 1)*(v + 57)/2
Suppose 100 - 95*f + 13*f**2 - 17*f**2 + 14*f**2 - 15*f**2 = 0. What is f?
-20, 1
Let l(q) = 20*q**3 - 1748*q**2 - 1728*q - 24. Let r(p) = -8*p**3 + 583*p**2 + 576*p + 9. Let n(w) = 3*l(w) + 8*r(w). Factor n(i).
-4*i*(i + 1)*(i + 144)
Let a = 133149/7 - 19019. Let n(d) be the first derivative of -9 + a*d**2 - 2/21*d**3 - 128/7*d. Suppose n(g) = 0. What is g?
8
Let o(f) be the first derivative of -f**7/14 + f**6/10 + 3*f**5/10 + 88*f + 76. Let w(j) be the first derivative of o(j). Factor w(x).
-3*x**3*(x - 2)*(x + 1)
Suppose 0 - 1/7*p**3 + 0*p + 2/7*p**2 = 0. Calculate p.
0, 2
Let r = 150 + -1651/11. Let v = 113/33 + r. Factor -2/9*m**4 + 26/9*m - 8/9 + 14/9*m**3 - v*m**2.
-2*(m - 4)*(m - 1)**3/9
Let t(g) be the first derivative of g**3/3 + 2*g**2 - 140*g - 2547. Suppose t(l) = 0. Calculate l.
-14, 10
Let h be (-2)/(2/6 - 3 - -2). Let g(u) be the first derivative of 4/3*u**h + 4/5*u**5 + 22 + 64*u + 48*u**2 - 6*u**4. Let g(n) = 0. What is n?
-1, 4
Suppose 0*q + 24*q = 6*q - 3*q. Let y(g) be the third derivative of 0*g + q - 1/75*g**5 + 2/5*g**3 + 1/15*g**4 - 7*g**2. Factor y(v).
-4*(v - 3)*(v + 1)/5
Suppose 213 + 275 = 122*w. Let h(m) be the third derivative of 0*m + m**2 + 49/180*m**6 + 20/9*m**3 + 0 - 34/9*m**w + 217/90*m**5. Factor h(f).
2*(f + 5)*(7*f - 2)**2/3
Suppose -19*s - 1834 + 295 = 0. Let b be ((-4)/(-6))/(-6*6/s). Find j such that 0 + b*j**2 + 3/2*j**3 + 1/2*j**4 + 1/2*j = 0.
-1, 0
Let b(j) be the first derivative of 10*j + 13/6*j**2 - 25 - 1/9*j**3. Factor b(v).
-(v - 15)*(v + 2)/3
Suppose -5*a - 4*u = -84, 21*u - 18*u - 66 = -4*a. Let b(h) be the first derivative of -h**4 + 0*h - a*h**2 + 6 - 20/3*h**3. What is g in b(g) = 0?
-3, -2, 0
Let y(l) be the second derivative of l**6/30 + 3*l**5/20 - l**4/3 - 1271*l. Factor y(u).
u**2*(u - 1)*(u + 4)
Let x be 8/196 + 4720/4410. Factor 2/9*r**3 + 2/9*r**2 + 2/3 - x*r.
2*(r - 1)**2*(r + 3)/9
Let n(a) = -35*a**2 - 20*a + 68. Let t(j) = -43*j**2 - 19*j + 70. Let s(b) = 5*n(b) - 4*t(b). Factor s(h).
-3*(h - 2)*(h + 10)
Find l such that 221*l - 4*l**3 - 3*l**3 - 59*l + 5*l**3 - 20*l**2 - 84*l = 0.
-13, 0, 3
Let m be (-24)/(-252)*3/(-10) - 15/(-25). Let l(t) be the first derivative of -2/7*t**2 - m*t - 1/35*t**5 + 1/14*t**4 + 2 + 1/7*t**3. Find o such that l(o) = 0.
-1, 2
Let v = -4 + 6. Suppose 99*w**3 + 18*w**4 - 39*w**3 + 18*w**v - 112*w**3 + 8*w + 8*w**5 = 0. Calculate w.
-4, -1/4, 0, 1
Let b be 230/16 + -2 + 247/152. Let h(q) be the second derivative of 0 - 1/2*q**2 - b*q + 0*q**3 + 1/16*q**4 - 1/80*q**5. Factor h(r).
-(r - 2)**2*(r + 1)/4
Let a = 4482 + -4482. Let x(k) be the second derivative of -3/20*k**5 + 16*k + a - 3/2*k**4 - 12*k**2 - 6*k**3. Let x(b) = 0. What is b?
-2
Let h(g) be the third derivative of 50/3*g**4 + 0 + 0*g**3 + 0*g + 2/3*g**5 + 1/120*g**6 + 21*g**2. Let h(z) = 0. What is z?
-20, 0
Let q(b) = -b**2 + 26*b + 41. Let c be q(-12). Let p = 418 + c. Find t such that -15/4*t + 5*t**p - 5/4*t**5 - 5/2*t**2 + 5/2 + 0*t**4 = 0.
-2, -1, 1
Suppose 6*c - 20 = 2*c. Suppose -i + 0*d + c = d, -3*d = -5*i + 25. Factor -5*u**3 - 5 - 2*u**2 + 0*u**2 - 15*u - 8*u**2 - i*u**2.
-5*(u + 1)**3
Let s(f) = 10*f**3 + 8*f**2 - 20*f + 9. Let x(w) = w**3 + w**2 - 2*w + 1. Let v(k) = 2*s(k) - 18*x(k). Suppose v(y) = 0. Calculate y.
-1, 0, 2
Let p(j) = -7*j + 3*j - 9 + 5 - 3*j - j**2. Let i be p(-6). Suppose -3*z**4 + 5*z**2 - 4*z**2 + 5*z**2 - 6*z + 3*z**i = 0. Calculate z.
-2, 0, 1
Let b be (8/(-140))/(133/(-49) + -3 - -5). Let p(r) be the first derivative of 0*r - 2/15*r**3 - 1/5*r**4 + 2/5*r**2 + 34 + b*r**5. Factor p(s).
2*s*(s - 2)*(s - 1)*(s + 1)/5
Determine n, given that -36/5 - 1614/5*n**2 - 1122/5*n**3 - 150*n - 222/5*n**4 = 0.
-3, -1, -2/37
Let y(l) be the first derivative of 3/10*l**2 - 2/5*l - 1/15*l**3 + 18. What is n in y(n) = 0?
1, 2
Let p be -1 + 7 - (-1539)/54*(-2)/(-3). Let l(b) be the third derivative of p*b**2 - 1/18*b**3 - 1/90*b**5 + 0*b - 1/24*b**4 + 0. Factor l(z).
-(z + 1)*(2*z + 1)/3
Let b(k) be the second derivative of -k**4/4 + 43*k**3/2 - 234*k**2 - 73*k. Factor b(y).
-3*(y - 39)*(y - 4)
Let q be 7192/203 - 84/(13 - 7). Solve -144/7*d**2 + 60/7*d - 60/7*d**3 + q - 6/7*d**4 = 0.
-5, -1, 1
Let y(m) = -22*m**3 + 90*m**2 - 591*m + 1369. Let r(o) = 116*o**3 - 452*o**2 + 2956*o - 6844. Let u(j) = -3*r(j) - 16*y(j). Factor u(w).
4*(w - 7)**3
Let x = -10490 + 335681/32. Let z(u) be the first derivative of 0*u**2 + 0*u - x*u**4 + 0*u**3 - 16 - 1/40*u**5. Factor z(o).
-o**3*(o + 1)/8
Factor -139/2*l - 16*l**2 - 1/2*l**3 - 54.
-(l + 1)*(l + 4)*(l + 27)/2
Let x(f) = 85*f**3 - 72*f**3 - 14*f**2 - 19*f + 47*f**2 - 9. Let n(o) = -6*o**3 - 16*o**2 + 10*o + 4. Let g(s) = -9*n(s) - 4*x(s). What is a in g(a) = 0?
-7, 0, 1
Suppose 2*j = -5*q - 12, -5*j = 5*q - 0*j. Let x be -11 + 11 - 10/q. Find f such that 0 - 5/2*f**2 + x*f = 0.
0, 1
Let g(c) = c**3 + 8*c**2 + 7*c + 5. Let i be g(-6). Suppose -15*a + 2*r = -12*a - 12, -a - 1 = r. Factor -i*f - 19*f + f**3 + 9*f**3 + 25*f**a - f + 20.
5*(f - 1)*(f + 4)*(2*f - 1)
Let a be (-97)/(-19) + -4*10/380. Let m(c) be the third derivative of -9*c**2 + 0 - 1/14*c**4 + 3/7*c**3 + 0*c + 1/210*c**a. What is n in m(n) = 0?
3
Factor -25*n**3 - 114 + 98*n**2 + 15 - 260*n + 80*n**2 + 179 - 18*n**2.
-5*(n - 4)*(n - 2)*(5*n - 2)
Let v(k) be the second derivative of -k**8/1680 + 3*k**7/280 - k**6/45 + 35*k**3/6 + 32*k - 1. Let y(j) be the second derivative of v(j). Factor y(m).
-m**2*(m - 8)*(m - 1)
Let s be 4/10 - (8270/800 - 10). Let n(o) be the second derivative of 0*o**2 + 1/4*o**3 - 30*o + s*o**4 + 0. Factor n(k).
3*k*(k + 2)/4
Solve 1440/11*x + 2/11*x**2 + 259200/11 = 0.
-360
Let g(q) = -4*q**4 - 11*q**3 - 9*q**2 + 39*q + 10. Let o(d) = -3*d**4 - 10*d**3 - 9*d**2 + 34*d + 8. Let x(s) = 4*g(s) - 5*o(s). What is i in x(i) = 0?
-2, 0, 1, 7
Let l(y) be the second derivative of 1/252*y**7 + 0*y**5 - 1/36*y**3 + 0*y**2 + 1/90*y**6 - 55*y + 0 - 1/36*y**4. Suppose l(v) = 0. Calculate v.
-1, 0, 1
Let r(b) = b + 10. Let u be r(-10). Suppose u = -o - 8*o + 4*o. Factor o + 0*n - 5/3*n**2 - 5/3*n**3.
-5*n**2*(n + 1)/3
Suppose -72*w**4 - 9212*w**2 - 77*w**4 - 388*w**3 - 3050*w + 145*w**4 + 12654*w = 0. What is w?
-49, 0, 1
Let a(i) be the third derivative of i**7/490 - 31*i**6/280 + 19*i**5/20 - 69*i**4/56 - 117*i**3/7 + i**2 + 159*i. Determine n, given that a(n) = 0.
-1, 3, 26
Solve -106032/5 - 3/5*l**2 + 1128/5*l = 0 for l.
188
Let r(y) be the first derivative of y**5/2 - 21*y**4/8 + y**3 + y**2/2 + 9*y + 161. Let c(m) be the second derivative of r(m). What is t in c(t) = 0?
1/10, 2
Suppose -169*a + 179*a = 0. Let l(v) be the second derivative of a + 5*v + 3/5*v**2 - 1/10*v**3 - 21/20*v**4. Suppose l(x) = 0. Calculate x.
-1/3, 2/7
Let w(v) be the first derivative of 2*v**3/3 + 14*v**2 + 529. Find l, given that w(l) = 0.
-14, 0
Let v(u) be the third derivative of 3*u**8/392 - 307*u**7/735 + 527*u**6/84 - 289*u**5/210 - 2810*u**2. Find p such that v(p) = 0.
0, 1/9, 17
Let h = 316441/90 - 3516. Let m(x) be the third derivative of -5*x**2 - 3/16*x**4 + 0 + 7/36*x**3 + 0*x - h*x**5. Factor m(n).
-(n + 7)*(4*n - 1)/6
Factor -5*a**2 - 157 - 304 - 52 + 111 - 63 + 170*a.
-5*(a - 31)*(a - 3)
Let u = 1 + -4. Let o(j) = -433*j**2 + 434*j**2 - 38 + 42 - j. Let c(q) = -2*q**2 + 2*q - 12. Let b(v) = u*c(v) - 8*o(v). Factor b(h).
-2*(h - 2)*(h + 1)
Let a = 1 - 2. Let u(j) = -j**2 - 1. Let v(d) be the second derivative of d**5/10 + d