0 - 1/40*z**6 + 3/8*z**v + 1/4*z**3. Factor r(q).
-3*(q - 1)*(q + 1)**3/4
Let g(l) be the second derivative of 8*l**7/21 + 124*l**6/15 + 1049*l**5/20 + 911*l**4/6 + 226*l**3 + 180*l**2 + 1105*l. Let g(c) = 0. What is c?
-10, -2, -3/4
Let h(t) be the third derivative of -t**7/280 + 27*t**6/160 - 77*t**5/40 + 9*t**4 - 20*t**3 + 3*t**2 - 6*t - 17. Find z such that h(z) = 0.
1, 2, 4, 20
Factor 75/4 - 1/4*j**5 - 25/4*j**4 + 3/2*j**3 - 197/4*j + 71/2*j**2.
-(j - 1)**3*(j + 3)*(j + 25)/4
Let g(z) be the first derivative of z**3/2 + 96*z**2 + 1125*z/2 + 5904. Factor g(n).
3*(n + 3)*(n + 125)/2
Let y(o) = -3*o**4 + 81*o**3 - 4*o**2 - 53*o - 7. Let d(n) = -4*n**4 + 108*n**3 - 5*n**2 - 72*n - 9. Let x(r) = -7*d(r) + 9*y(r). Factor x(b).
b*(b - 27)*(b - 1)*(b + 1)
Let m(i) be the first derivative of i**4/14 - 460*i**3/21 - i**2/7 + 460*i/7 + 1047. Find w such that m(w) = 0.
-1, 1, 230
Let w be (-113 + 27435/240)*4/3. Factor -w*r**2 - 2 - 7/2*r - 1/4*r**3.
-(r + 1)*(r + 2)*(r + 4)/4
Suppose 7*g + 598*g = 2420. Determine n, given that 0 - 3*n**2 - 6/5*n + 33/5*n**3 - 12/5*n**g = 0.
-1/4, 0, 1, 2
Solve -3210576*t - 5066*t**2 - 3*t**3 - 3*t**3 - 4*t**3 + 0*t**3 - 3205512 + 8*t**3 = 0.
-1266, -1
Let c(i) be the second derivative of i**5/50 + 12*i**4/5 + 272*i**3/15 - 7612*i. Factor c(b).
2*b*(b + 4)*(b + 68)/5
Suppose 228 = 7*g + 130. Let f(v) be the first derivative of 5/3*v**2 + g - 25/4*v**4 + 0*v - 5/9*v**3. Let f(b) = 0. Calculate b.
-2/5, 0, 1/3
Let g(v) be the first derivative of -v**5/4 + 65*v**4/6 + 26*v + 12. Let i(a) be the first derivative of g(a). Find b such that i(b) = 0.
0, 26
Let s(d) be the second derivative of -d**7/63 + 16*d**6/45 - 77*d**5/30 + 25*d**4/9 + 124*d**3/3 - 120*d**2 + 1591*d. Find c, given that s(c) = 0.
-2, 1, 5, 6
Solve -452/7*w - 4/7*w**2 + 1392/7 = 0.
-116, 3
Let a(c) be the third derivative of 0 + 1/105*c**5 - 7/3*c**3 - 1/21*c**4 - 14*c**2 + 0*c - 1/1260*c**6. Let o(j) be the first derivative of a(j). Factor o(z).
-2*(z - 2)**2/7
Let g(x) = -x - 1. Let n(a) = a**3 + 9*a**2 + 11*a + 20. Let p be n(-8). Let t(u) = u**3 - 5*u**2 + 11*u + 1. Let k(s) = p*g(s) - t(s). Factor k(j).
-(j - 3)*(j - 1)**2
Let f(t) be the second derivative of -t**6/9 + 1151*t**5/15 - 132710*t**4/9 + 105800*t**3/9 + 2*t + 4743. Solve f(h) = 0.
0, 2/5, 230
Let r = 318 - 315. Find m such that 1431*m**2 + 3*m**4 - 4*m**r - 2866*m**2 - 2*m**3 + 60*m + 1414*m**2 - 36 = 0.
-3, 1, 2
Suppose -5*h + 0*h = -25. Let u be 170/(-153) - ((-426)/355 - (-142)/(-90)). Factor 0 + m**h + u*m**3 - 7/3*m**4 - 1/3*m**2 + 0*m.
m**2*(m - 1)**2*(3*m - 1)/3
Find f such that 0*f + 94/5*f**3 - 756/5*f**2 + 0 + 2/5*f**4 = 0.
-54, 0, 7
Let o be (1 - 9)*(1336/3340)/(32/(-15)). Factor o*d**3 + 0 + 18*d**2 + 30*d.
3*d*(d + 2)*(d + 10)/2
Let n(q) be the first derivative of -3*q**4/4 + 1385*q**3 - 720372*q**2 + 1436592*q - 256. Determine x, given that n(x) = 0.
1, 692
Suppose 8*t = 13*t - 2*a - 31, 2*t = 3*a + 8. Let 3*x**3 - x**3 + 8*x + 15*x + 12*x**2 - t*x = 0. Calculate x.
-4, -2, 0
Let k(i) be the second derivative of -5/9*i**3 - 165*i - 4/9*i**4 + 0 + 50/3*i**2 - 1/30*i**5. Find n, given that k(n) = 0.
-5, 2
Let t = -11 + 15. Let s(x) = x**3 - 55*x**2 + 422*x - 238. Let q be s(46). Let -126*i - 7*i**2 - 3*i**4 + 2*i**3 + 4*i**t + q*i = 0. Calculate i.
-4, 0, 1
Let c(l) be the second derivative of -2*l**5/35 + 11*l**4/84 + 31*l**3/14 - 18*l**2/7 + 6*l + 110. Find j, given that c(j) = 0.
-3, 3/8, 4
Suppose -5*r + 10295 = 5*f, 4*f - 9793 = 2*r - 1587. Suppose -2045 = 3*k - f. Find w, given that -9*w**k - 1/2 - 19/4*w**2 + 15/4*w = 0.
-1, 2/9, 1/4
Let r = -31 + 30. Let h = r - -4. Suppose -4 - c**3 + 3*c**h - 3*c**4 + 3*c**2 - 2*c + 4 = 0. What is c?
-1, 0, 2/3, 1
Let h = 337 + -340. Let o(j) = -8*j**2 + 79*j - 77. Let t(x) = -7*x**2 + 81*x - 78. Let c(p) = h*t(p) + 2*o(p). Factor c(f).
5*(f - 16)*(f - 1)
Let x(l) be the first derivative of l**3/21 + 12*l**2/7 + 44*l/7 + 10252. Factor x(s).
(s + 2)*(s + 22)/7
Let m(q) be the first derivative of q**5/330 - q**4/66 - q**3/11 + 45*q**2/2 + 53. Let y(n) be the second derivative of m(n). Factor y(o).
2*(o - 3)*(o + 1)/11
Let q be (3 - -2)*(3 - (-30)/(-25)). Determine h, given that 136*h**3 + 4*h + q*h**4 + 16*h**2 - 41*h**3 - 74*h**3 = 0.
-1, -2/3, 0
Let g = 6/70385 - -84456/70385. Determine t, given that 6/5*t**2 - g - 7*t = 0.
-1/6, 6
Let v = -7 - -258. Let y be 2/(-8) + v/4. Factor 25*u - 5/2 - y*u**2.
-5*(5*u - 1)**2/2
Let t(v) = -20*v**3 + 1655*v**2 - 820*v - 865. Let l(b) = b**3 + 4. Let a(y) = 10*l(y) + t(y). Factor a(r).
-5*(r - 165)*(r - 1)*(2*r + 1)
Let m(u) be the first derivative of 3*u**4/4 - 244*u**3/3 - 165*u**2/2 + 82*u + 1861. Factor m(w).
(w - 82)*(w + 1)*(3*w - 1)
Let o(c) be the third derivative of 35/24*c**4 - 13 - 4*c**2 + 0*c - 1/48*c**6 + 11/24*c**5 - 10*c**3. Factor o(h).
-5*(h - 12)*(h - 1)*(h + 2)/2
Let p(q) = 7*q**4 + 53*q**3 + 7*q**2 - 7*q - 12. Let b(y) = 2*y**4 + 18*y**3 + 2*y**2 - 2*y - 4. Let s = -95 + 84. Let i(f) = s*b(f) + 4*p(f). Factor i(w).
2*(w + 1)**3*(3*w - 2)
Let g(x) = -x**3 + 58*x**2 - 820*x + 527. Let a be g(35). Solve -228/5*f + 12/5 + 1083/5*f**a = 0.
2/19
Let t(r) be the second derivative of 1/15*r**6 - 56*r + 0*r**2 - 2 - 2/5*r**5 + 4/3*r**3 - 1/6*r**4. Find c such that t(c) = 0.
-1, 0, 1, 4
Let i(a) be the first derivative of 2*a**4/19 + 344*a**3/19 + 819*a**2 - 7448*a + 5266. What is t in i(t) = 0?
-133/2, 4
Let h(f) = 14*f - 96. Let k be h(7). Factor -81 - 1212*q**3 - 3*q + 1213*q**3 + 66*q + 17*q**k.
(q - 1)*(q + 9)**2
Suppose 16 = 2*h - 10*h. Let u be (-171)/399 + 34/(-28)*h. Find k, given that -8/15*k**u + 2/3*k - 2/15 = 0.
1/4, 1
Suppose 50 = 3*f + 2*f. Suppose 4*y - 60 = -9*y - 17*y. Solve -16*n**y - f*n**2 + 3 - 20*n - 19 + 22*n**2 = 0 for n.
-4, -1
Let v be (-27)/(918/(-4)) + 98/34. Let x(n) be the first derivative of -5/4*n**2 + 1/2*n**v - n - 3. Factor x(z).
(z - 2)*(3*z + 1)/2
Let z be 25/(-3)*822/(-3425). Factor 2 + 1/7*b**3 + 29/7*b + 16/7*b**z.
(b + 1)**2*(b + 14)/7
Let s be 2 + 0 + 0*(-4)/(-16). Suppose -11*d**2 + 0*d + 3*d + 3*d**2 + 11*d**s - 6 = 0. What is d?
-2, 1
Solve -2686*l**3 + 5020*l + 13880*l**2 - 2287*l + 2661*l**3 + 2224 + 5661*l + 2722*l = 0.
-2/5, 556
Let g = 10 + -7. Suppose 3*j = g*m - 15, 4*j - 3 = 5. Find r such that 12*r - 42*r**4 - m*r**3 + 2*r**2 - r**5 + 42*r**4 - 8 + 2*r**5 = 0.
-2, 1, 2
Let q(t) = 11*t**2 - 60*t - 32. Let b be q(6). Let z(u) be the first derivative of 24 - 6/5*u**5 + 0*u - 14/3*u**3 + 2*u**2 + b*u**4. Factor z(a).
-2*a*(a - 1)**2*(3*a - 2)
Let n(m) = -63*m - 1382. Let b be n(-22). Let y(z) be the first derivative of -19 + 4/3*z**3 - b*z + 15/2*z**2. Factor y(w).
(w + 4)*(4*w - 1)
Determine d, given that 3/5*d**3 - 192/5*d + 36 + 9/5*d**2 = 0.
-10, 1, 6
Let w(j) be the second derivative of 1/23*j**3 + 0*j**2 - 1/230*j**5 + 1/69*j**4 + 2*j + 23. Solve w(l) = 0 for l.
-1, 0, 3
Let h(x) be the third derivative of x**6/120 + x**5 + 32*x**4 - 2048*x**3/3 - 2*x**2 - 155*x. What is r in h(r) = 0?
-32, 4
Let h = 5407 - 5393. Let n(j) be the first derivative of -h + 1/3*j - j**2 + j**3. Factor n(k).
(3*k - 1)**2/3
Suppose -310*m**2 - 360/7*m**4 - 12/7*m + 0 - 1802/7*m**3 = 0. What is m?
-3, -2, -1/180, 0
Let v(q) be the third derivative of -q - 10/3*q**3 - 2/25*q**5 - 5*q**2 + 3/4*q**4 + 0 + 1/300*q**6. Factor v(y).
2*(y - 5)**2*(y - 2)/5
Let b = 122762 + -122762. Solve -2/9*l**4 + b - 1/9*l**5 + 0*l + 2/9*l**2 + 1/9*l**3 = 0.
-2, -1, 0, 1
Suppose -1353 = -43*l + 10*l. Factor 30*n**2 - 5*n**4 - l*n**3 + 8*n**4 - 14*n**2 + 23*n**2 - n**3.
3*n**2*(n - 13)*(n - 1)
Let a(j) be the third derivative of -3*j**2 - 1/210*j**7 + 0*j + 1/2016*j**8 - 1/720*j**6 + 3 + 0*j**3 + 1/60*j**5 + 0*j**4. Determine w so that a(w) = 0.
-1, 0, 1, 6
Factor 680/3 - 2/3*j**2 - 2*j.
-2*(j - 17)*(j + 20)/3
Let b(m) = 2*m**2 - m + 5. Let f(u) = -20*u**2 + 289*u + 1025. Let g(l) = 22*b(l) + 2*f(l). Find x, given that g(x) = 0.
-135, -4
Let b = 103203/20 - 20631/4. Find s, given that -b*s**4 + 8*s**2 - 18/5*s - 2/5*s**5 + 4*s**3 - 28/5 = 0.
-7, -1, 1, 2
Let h be (16 + -2)*37*96/1554. Suppose -50/9*f**2 - h + 2/9*f**3 + 112/3*f = 0. Calculate f.
1, 12
Find x such that -540 - x**2 + 148*x + 797 - 605 + 28*x = 0.
2, 174
Let v(z) be the third derivative of -z**7/210 - z*