940 + j**7/735 - j**6/630 - j**5/105 + 13*j**3 - 84*j**2. Let o(m) be the first derivative of b(m). Solve o(g) = 0.
-2, -1, 0, 1
Let j = 11 + 12. Suppose -13*u + 8 = -18. Factor -j*x - 22 - 6*x**2 + 4*x**u + 0*x**2 + 47*x.
-2*(x - 11)*(x - 1)
Let y = 253 + -369. Let w be 29/y - 23/(-28). Factor -8/7*b**2 + 0 + w*b**3 + 0*b.
4*b**2*(b - 2)/7
Let u(m) be the second derivative of -7*m**5/4 + 5*m**4/6 + 745*m - 3. Determine z, given that u(z) = 0.
0, 2/7
Let -1/8*v**4 + 0*v**3 + 0 - 7*v + 57/8*v**2 = 0. What is v?
-8, 0, 1, 7
Let k(w) be the first derivative of w**5/5 + w**4 - 41*w**3/3 + 18*w**2 + 3721. Factor k(p).
p*(p - 4)*(p - 1)*(p + 9)
Suppose -1/5*z**4 + 4/5*z**2 + 24/5*z - 6/5*z**3 + 0 = 0. Calculate z.
-6, -2, 0, 2
Suppose -3*h + 1657 - 9577 = -3*o, 5*o + 4*h - 13200 = 0. Let w be o/1008 - 7/3. Factor 0 + 1/7*l**2 + w*l.
l*(l + 2)/7
Determine x so that 0 - 632*x**2 - 4/3*x**3 + 1900/3*x = 0.
-475, 0, 1
Let i be (3512/(-5268))/(5/(-9)). Factor -i*q**3 + 0 + 2/5*q**4 - 2/5*q**2 + 6/5*q.
2*q*(q - 3)*(q - 1)*(q + 1)/5
Let i(g) be the second derivative of -5*g**7/42 - 3*g**6/2 - 3*g**5/4 + 365*g**4/12 - 80*g**3 + 90*g**2 + 2119*g. Factor i(n).
-5*(n - 1)**3*(n + 6)**2
Solve 0*u - 100/7*u**2 - 2/7*u**4 + 0 - 30/7*u**3 = 0 for u.
-10, -5, 0
Suppose 0*z + 10 = -5*z, -2*g + 10 = -5*z. Let l be ((-6)/2 - g)/(2/(-2)). Solve 6*f - 2*f**2 - 6*f**l - 238 + 242 - 2*f**4 + 0*f**4 = 0.
-2, -1, 1
Let q(z) = -z**2 - 669*z - 516. Let s(m) = 4*m**2 + 2675*m + 1987. Let t(y) = 18*q(y) + 4*s(y). Find j such that t(j) = 0.
-670, -1
Let s(l) be the second derivative of l**6/320 + l**5/20 + 13*l**4/64 + 3*l**3/8 - 34*l**2 - l - 112. Let z(f) be the first derivative of s(f). Factor z(m).
3*(m + 1)**2*(m + 6)/8
Let r = -1131 + 1134. Suppose -6*i + 2*i + 12 = 0. Factor -16 - 542*k + 510*k - 20*k**2 - i*k**3 - k**r.
-4*(k + 1)*(k + 2)**2
Let x(t) be the second derivative of t**6/60 - 43*t**5/8 - 433*t**4/24 - 217*t**3/12 + 12302*t. Find y, given that x(y) = 0.
-1, 0, 217
Let q(c) be the first derivative of c**3/21 + 286*c**2/7 + 81796*c/7 + 148. Find x, given that q(x) = 0.
-286
What is j in -2991/2*j + 1/4*j**2 + 8946081/4 = 0?
2991
Suppose 24 = 42*w - 984. Let p(a) be the third derivative of 0*a**5 + 0*a**6 + 0*a + 0*a**4 + 0 + w*a**2 + 1/3528*a**8 + 2/2205*a**7 + 0*a**3. Solve p(c) = 0.
-2, 0
Let k(f) be the second derivative of f**7/21 - 2*f**6/3 - 9*f**5/10 + 107*f**4/3 - 508*f**3/3 + 360*f**2 - 1320*f. Solve k(r) = 0.
-5, 2, 9
Let x = 779/2580 + -1/516. Let n(z) be the first derivative of x*z**2 + 4/5*z**3 + 0*z - 17. Factor n(f).
3*f*(4*f + 1)/5
Let i(x) be the third derivative of -x**5/360 + 17*x**4/144 + 50*x**3/9 + 57*x**2 - 12. Factor i(s).
-(s - 25)*(s + 8)/6
Let i be (-2 + 2)*25/(-50). Let s(v) be the third derivative of 5/24*v**4 + 1/6*v**6 + i*v**3 + 5/12*v**5 + 5*v**2 + 0*v + 0. Determine q, given that s(q) = 0.
-1, -1/4, 0
Let w(q) be the second derivative of 0 - 9*q + 1/3*q**3 + 1/6*q**4 - q**2 - 1/10*q**5. Let w(a) = 0. Calculate a.
-1, 1
Suppose -y = y - 77*y. Let n(g) be the third derivative of 0*g + 1/36*g**4 + y - 1/180*g**5 + 21*g**2 + 1/6*g**3. Factor n(q).
-(q - 3)*(q + 1)/3
Let h(v) be the first derivative of -v**4/10 - 7922*v**3/15 - 784872*v**2 - 1568160*v + 4153. Determine k, given that h(k) = 0.
-1980, -1
Let h be 7/(441/14)*6/13. Let j(f) be the first derivative of h*f**3 + 0*f**2 + 0*f - 5 + 1/26*f**4. Factor j(x).
2*x**2*(x + 2)/13
Let g be (-12)/(-80)*(-10)/3*-4. Factor 3/2 - 3*p + 3/2*p**g.
3*(p - 1)**2/2
Let d = 636 + -631. Let t(u) = -u**2 - 9*u - 4. Let o be t(-8). Solve 5*m**d + 40*m**o - 13*m**5 - 4*m**2 - 64*m**4 - 18*m**3 = 0.
-2, -1/2, 0
Suppose 406 = 319*r - 531 + 299. What is h in 92/11*h**r + 58/11*h + 68/11*h**3 + 14/11 + 2*h**4 + 2/11*h**5 = 0?
-7, -1
Let r be 14 - 16 - (-3 - 1). Let -5*y**2 - 24*y - 30*y - 3*y**r - 6*y + 32 = 0. Calculate y.
-8, 1/2
Let n(j) = 539*j**2 + 1062*j - 180. Let h(b) = 269*b**2 + 557*b - 90. Let d(y) = -9*h(y) + 4*n(y). Determine p so that d(p) = 0.
-3, 6/53
Let y = -971/35 - -419/15. Let j(w) be the third derivative of 0 + 6*w**2 + 1/210*w**5 + 0*w + y*w**3 + 5/84*w**4. Factor j(c).
2*(c + 1)*(c + 4)/7
Let j be 1/((-10)/(-8)) + 1023/33495*58. Determine t, given that -j*t**2 + 0 + 6/7*t**3 + 2/7*t**4 - 54/7*t = 0.
-3, 0, 3
Let m(r) be the third derivative of r**8/420 - 8*r**7/525 + 14*r**5/75 - 17*r**4/30 + 4*r**3/5 + r**2 + 273*r. Factor m(h).
4*(h - 3)*(h - 1)**3*(h + 2)/5
Let k(z) be the first derivative of -z**4/4 + 206*z**3 - 63654*z**2 + 8741816*z - 1175. Factor k(d).
-(d - 206)**3
Let u(j) be the third derivative of -j**5/30 + 5*j**4/24 + 14*j**3/3 + 3*j**2 - 5. Let l(s) = -s**2 + 2*s + 12. Let t(v) = -10*l(v) + 4*u(v). Factor t(g).
2*(g - 2)*(g + 2)
Let w = -930 - -4652/5. Let l(z) be the first derivative of 19 + 1/2*z**3 - w*z**5 - 1/4*z**2 + 0*z + 0*z**4. Find f, given that l(f) = 0.
-1, 0, 1/2
Let y(h) = -20*h**3 + 268*h**2 - 96*h + 2. Let c(u) = -4*u - 1. Let o(i) = -2*c(i) - y(i). Factor o(l).
4*l*(l - 13)*(5*l - 2)
Let x be 3 + ((-50)/(-49) - (-489)/(-23961)). Suppose -2/7*d**x + 0*d**3 + 0*d**2 + 0 + 0*d + 2/7*d**5 = 0. Calculate d.
0, 1
Let u = -2044/11 - -186. Let s = 1669 - 1667. Factor 0 + 6/11*y + 8/11*y**s + u*y**3.
2*y*(y + 1)*(y + 3)/11
Let c(q) be the first derivative of 159 - 1/3*q**4 - 24*q - 32/9*q**3 - 14*q**2. Factor c(f).
-4*(f + 2)*(f + 3)**2/3
Let i(z) be the first derivative of -120*z + 135 - 115/2*z**2 + 5/3*z**3. What is n in i(n) = 0?
-1, 24
Let h be 50523/(-12248)*(-6)/33. Factor -9/4*j**2 + h*j**4 - 21/2*j + 3*j**3 - 6.
3*(j - 2)*(j + 1)**2*(j + 4)/4
Let x(b) = -3*b**2 - 19*b - 2. Let o be x(-6). Solve 20*f**2 - 5*f**5 - 8*f**o - 11*f - 17*f + 3*f**5 + 30*f - 12 = 0.
-3, -2, -1, 1
Let l(w) be the first derivative of -1/5*w**4 - 6/5*w**2 + 0*w - 4/25*w**5 + 4/3*w**3 + 6. Factor l(x).
-4*x*(x - 1)**2*(x + 3)/5
Find v, given that 2/9*v**3 + 2 + 10/3*v + 14/9*v**2 = 0.
-3, -1
Let i = 3766/65 - 11168/195. Factor 4/5*j - 2/15*j**2 - i.
-2*(j - 5)*(j - 1)/15
Let h(u) = 3088*u - 24701. Let g be h(8). Factor -3/8*j - 1/4 + 15/8*j**g + 7/4*j**2.
(j + 1)*(3*j + 1)*(5*j - 2)/8
Let w = 176 - 491. Let t = 97 - w. Suppose -m**4 + 0 + 0 - t*m**3 + m - 3*m**2 + 415*m**3 = 0. Calculate m.
0, 1
Find l, given that -9*l**4 + 60 + 135*l**3 - 76*l**3 - 3*l**2 + 272*l - 115*l**3 = 0.
-5, -3, -2/9, 2
Let p(v) be the second derivative of v**5/15 - v**4/2 + 15*v**2/2 - 36*v. Let g(q) be the first derivative of p(q). Determine o, given that g(o) = 0.
0, 3
Let u be (-13 - 1001/(-78))*-12. Let o(n) be the second derivative of 1/24*n**5 + 1/90*n**6 - 20*n + 0*n**4 - 1/6*n**u - 5/36*n**3 + 0. Let o(c) = 0. What is c?
-2, -1, -1/2, 1
Let n be 5/(15/21) + -1*3. Determine x, given that -493*x**3 - 14*x**2 - 16*x**2 - 5*x**n + 518*x**3 = 0.
0, 2, 3
Suppose 21*d = 19*d - 8. Let k(o) = -o**3 - 4*o**2 - 5*o - 6. Let s be k(d). Solve 3*l**4 + l**3 - s*l**3 - 12*l + 19*l**2 + l + 2 = 0.
1/3, 1, 2
Let f(i) = 5*i**2 - 96*i - 285. Let r(d) = 55*d**2 - 1055*d - 3140. Let k(g) = 65*f(g) - 6*r(g). Determine m, given that k(m) = 0.
-3, 21
Let s(a) be the second derivative of a**7/168 - a**6/6 + 11*a**5/24 + 82*a**3/3 - 7*a + 17. Let c(i) be the second derivative of s(i). Factor c(l).
5*l*(l - 11)*(l - 1)
Suppose -12 = 4*g + 5*m, g - 14 = -2*g + 2*m. Suppose 24 = g*s + 2*s. Factor -11*x**2 + 9*x**3 + 9*x - 25*x**2 + s*x**2.
3*x*(x - 3)*(3*x - 1)
Suppose 105 + 105*v + 4*v**2 - 569*v + 16 + 339 = 0. What is v?
1, 115
Suppose -24 = 57*j - 146*j - 24. Let p(d) be the second derivative of 12*d - 2/39*d**3 + 0*d**2 - 1/78*d**4 + 1/130*d**5 + j. Solve p(m) = 0.
-1, 0, 2
Let l(g) be the third derivative of -g**5/270 + 23*g**4/108 + 881*g**2 + g. Factor l(t).
-2*t*(t - 23)/9
Let a = 907/6839 - -10/977. Factor -6/7*t**2 + 0*t - a*t**3 + 0.
-t**2*(t + 6)/7
Suppose 5*s - 5*j - 289 + 4 = 0, -2*s + 108 = -5*j. Factor -43 + 6750*y**3 + s*y + 41 - 1350*y**2 + 31*y.
2*(15*y - 1)**3
Suppose -108*u**2 + 147*u - 18*u - 17*u**2 + 5*u**3 - 1894 + 2134 - 19*u = 0. Calculate u.
-1, 2, 24
Let s(c) = -46*c**2 + 15*c. Let l(a) = -9*a**2 + 3*a. Let u(d) = -11*l(d) + 2*s(d). Let v(m) = -29*m**2 + 11*m. Let r(h) = 9*u(h) + 2*v(h). Factor r(x).
5*x*(x - 1)
Let n(x) = 58*x**3 + 1. Let y be n(-1). Let h = y + 60. Factor -o**2 - o