first derivative of -w**5 + 55*w**3/3 - 45*w**2 + 40*w + 1385. Factor r(u).
-5*(u - 2)*(u - 1)**2*(u + 4)
Find y such that -49/8*y**2 + 57/8*y**3 - 11/8*y**4 - 1/8*y**5 - 7*y + 15/2 = 0.
-15, -1, 1, 2
Solve -75/8*o + 3/8*o**3 + 25/4 - 1/8*o**4 + 23/8*o**2 = 0.
-5, 1, 2, 5
Let y(f) be the third derivative of 625/3*f**3 - 49/30*f**5 - 575/12*f**4 + 0*f - 81*f**2 - 1/60*f**6 + 0. What is v in y(v) = 0?
-25, 1
Suppose 5*o + 0 = -5, r + 2*o = 0. Factor 15*f**r + 850*f + 855*f - 11 - 5*f**3 - 9 - 1705*f.
-5*(f - 2)**2*(f + 1)
Let r(a) be the third derivative of a**6/40 + 43*a**5/20 + 15*a**4/4 - 252*a**3 - 7973*a**2. Let r(q) = 0. What is q?
-42, -4, 3
Solve 2*h + h**3 + 2*h + 36 - 5*h**3 - 4363062*h**2 + 4363026*h**2 = 0 for h.
-9, -1, 1
Suppose -22*h + 24*h - 70 = -3*v, 0 = 3*h - 5*v - 86. Let p(o) be the first derivative of 0*o + o**4 + h*o**2 - 32/3*o**3 - 9. Factor p(z).
4*z*(z - 4)**2
Suppose 407*x = -50149 + 50963. Factor 0 + 0*h - 2*h**3 + 4/7*h**x.
-2*h**2*(7*h - 2)/7
Suppose 6*k - 13 = -43. Let z(o) = -3*o**2 + 20*o + 9. Let x(u) = 2*u**2 - 18*u - 7. Let a(m) = k*z(m) - 6*x(m). Factor a(p).
(p + 3)*(3*p - 1)
Factor -2/9*w**3 + 0 - 4/9*w**2 + 1/9*w**4 + 8/9*w.
w*(w - 2)**2*(w + 2)/9
Suppose -3*r + 3*a + 699 = 0, -5*r - 9*a + 4*a = -1175. What is g in 6*g**2 + 117*g + 119*g + 6*g**3 + 2*g**4 - r*g = 0?
-1, 0
Suppose 1074*o**2 + 279 - 458*o**3 - 187 - 22*o**4 + 992*o - 1678*o = 0. Calculate o.
-23, 2/11, 1
Suppose 0 = -412*d + 413*d - 12, 3*d = 3*h + 33 + 3. Factor -2/5 + h*l + 2/5*l**2.
2*(l - 1)*(l + 1)/5
Let j(r) be the third derivative of -5*r**9/3024 - r**8/336 + r**7/14 + 67*r**3/6 - 19*r**2 + r. Let f(o) be the first derivative of j(o). Solve f(a) = 0.
-4, 0, 3
Let l be (-20280)/(-39) + (1 - 7/1). Let n = 516 - l. Factor 26/11*b**n + 8/11 + 2/11*b**4 - 12/11*b**3 - 24/11*b.
2*(b - 2)**2*(b - 1)**2/11
Let z(s) = s**3 + 33*s**2 - s - 40. Let j be z(-33). Let i be 150/34 + (j - -4). Find a such that 2/17*a**2 + 2/17*a - i = 0.
-4, 3
Let p(i) be the third derivative of i**8/80640 - i**7/1680 + 3*i**6/320 - 8*i**5/15 + i**4/12 - 32*i**2. Let y(r) be the third derivative of p(r). Factor y(j).
(j - 9)*(j - 3)/4
Let z(m) be the second derivative of m**8/1008 - m**7/210 + m**5/45 + 39*m**2 + 3*m - 17. Let d(k) be the first derivative of z(k). Factor d(o).
o**2*(o - 2)**2*(o + 1)/3
Suppose 56*q + 95284 = -26*q. Let o = 8146/7 + q. Determine t, given that 3/7*t**2 + o*t - 15/7 = 0.
-5, 1
Let r(l) = -5*l**2 + 20*l - 20. Let p be (-15)/10*20/6. Let h(y) = 9*y**2 - 16*y**2 + 2*y**2 - 20 + 19*y. Let m(f) = p*h(f) + 6*r(f). Let m(g) = 0. Calculate g.
1, 4
Let q be 26 + -13 + 0 - (-598)/18. Factor 482/9*b**2 + q*b + 230/9*b**3 + 2/9*b**5 + 38/9*b**4 + 128/9.
2*(b + 1)**3*(b + 8)**2/9
Suppose 122*h - 127*h + k + 6 = 0, -4*k - 24 = 4*h. What is f in 0 - 7/2*f**3 + h*f**2 - 1/4*f**4 + 0*f = 0?
-14, 0
Suppose -3*r = -r + 5 - 43. Let h(z) be the first derivative of 5/27*z**3 + 1/18*z**2 + 0*z + r - 2/27*z**6 - 1/9*z**5 + 1/12*z**4. What is g in h(g) = 0?
-1, -1/4, 0, 1
Let w(o) be the second derivative of -o**5/50 - 11*o**4/30 + 14*o**3/15 + 24*o**2/5 + 682*o. Let w(j) = 0. What is j?
-12, -1, 2
Find i such that -1/2*i**4 + 48013 - 8303/2*i - 285/2*i**2 + 43/2*i**3 = 0.
-14, 19
Let v be 90*27/972 - (-11)/(-10). Let p(g) be the first derivative of -3/5*g + 3/5*g**2 - 42 + 3/5*g**4 + v*g**3. Suppose p(k) = 0. Calculate k.
-1, 1/4
Let j be ((-21)/28)/(30/(-16)). Let g be (-55)/(110/10) + 5. Factor g - 1/5*o**3 - 1/5*o**2 + j*o.
-o*(o - 1)*(o + 2)/5
Let r = 43 - 40. Let j(d) = -2*d**3 - d**2 - 3*d + 3. Let l(v) = 3*v**3 + 2*v**2 + 3*v - 4. Let g(k) = r*l(k) + 4*j(k). Factor g(t).
t*(t - 1)*(t + 3)
Let y(z) be the first derivative of -z**5/20 + 2*z**4 + 73*z**3/4 + 169*z**2/4 + 38*z + 2712. Let y(r) = 0. Calculate r.
-4, -1, 38
Let l(s) be the third derivative of s**6/780 + s**5/390 - s**4/78 + 65*s**2 + 10. Factor l(j).
2*j*(j - 1)*(j + 2)/13
Let x(o) = -58*o**3 - 104*o**2 - 402*o - 468. Let d(k) = 11*k**3 + 21*k**2 + 81*k + 94. Let h(t) = 16*d(t) + 3*x(t). Solve h(y) = 0 for y.
-5, -2
Let v = -3121 - -3123. Let i(g) be the third derivative of 2/3*g**3 + 1/4*g**4 - 6*g**v - 1/30*g**5 - 1/105*g**7 + 0 - 1/20*g**6 + 0*g. Factor i(f).
-2*(f - 1)*(f + 1)**2*(f + 2)
Let f(c) be the first derivative of -4/7*c**2 - 4/21*c**4 + 11*c - 4 - 1/35*c**5 - 10/21*c**3. Let r(y) be the first derivative of f(y). Factor r(w).
-4*(w + 1)**2*(w + 2)/7
Let l(k) be the third derivative of -k**7/630 + k**6/40 - 2*k**5/45 - 4*k**2 + 8*k. Factor l(o).
-o**2*(o - 8)*(o - 1)/3
Let i(n) be the first derivative of -2*n**5/25 + 29*n**4/10 + 138*n**3/5 + 23*n**2 - 140*n - 1389. Let i(r) = 0. What is r?
-5, -2, 1, 35
Let x = 129015 + -129013. Let 5/2*k**3 - 1/4*k**4 - 6*k**x + 25/4 - 5/2*k = 0. Calculate k.
-1, 1, 5
Let h(i) = i**2 - i + 6. Let k be h(0). Suppose 2*x + 0 = 2*a - k, 2 = -4*x + 2*a. Let 98/9*r**4 - 8/3 - 184/9*r - 140/9*r**3 - 398/9*r**x = 0. What is r?
-1, -2/7, 3
Let g(m) be the first derivative of -3*m**8/1120 - 17*m**7/560 - m**6/24 - 95*m**3/3 + 257. Let n(u) be the third derivative of g(u). Factor n(f).
-3*f**2*(f + 5)*(3*f + 2)/2
Let h(u) = -u**2 - 6*u - 4. Let n(w) = 8*w**2 - 8 - 11*w**2 - 19*w - 4. Suppose 4*m - 89 = 5*i, 2*i + 4*m = m - 54. Let p(c) = i*h(c) + 6*n(c). Factor p(a).
3*(a + 2)**2
Let u(v) be the second derivative of -v**7/168 + v**6/3 - 267*v**5/40 + 559*v**4/12 + 3887*v**3/24 - 6591*v**2/2 - 5981*v. Factor u(z).
-(z - 13)**3*(z - 4)*(z + 3)/4
Let b = 14032 + -14028. Let a(t) be the third derivative of 0*t - 1/180*t**6 + 0 - 2/5*t**5 - 13*t**2 - 192*t**3 - 12*t**b. Factor a(c).
-2*(c + 12)**3/3
Let i(f) be the first derivative of 49*f**5/5 + 1442*f**4/3 - 1672*f**3/3 + 240*f**2 - 22*f - 149. Let x(c) be the first derivative of i(c). Factor x(q).
4*(q + 30)*(7*q - 2)**2
Let d(t) be the second derivative of -1/22*t**4 + 2/11*t**3 + 0*t**2 + 2 + 108*t. Let d(o) = 0. What is o?
0, 2
Suppose -4*r = -864 + 872. Let b be (8/r - (-220)/25) + -4. Factor -2*q**2 + 7/5*q**3 - 1/5*q + b.
(q - 1)**2*(7*q + 4)/5
Let s(b) = -4*b - 114. Let d be s(-29). Solve 24*r**2 - 4*r**3 - 108*r + 9*r**4 - 11*r**4 - 10*r**d + 100*r = 0 for r.
-4, 0, 1
Let k = -177743/24 + 7406. Let r(c) be the third derivative of -1/60*c**6 - 1/24*c**5 + 0*c - k*c**4 + 0*c**3 - 1/420*c**7 + 0 - 3*c**2. Factor r(z).
-z*(z + 1)**2*(z + 2)/2
Suppose 892*s + 22 = 893*s + 5*w, -3*s + 4*w - 10 = 0. Let g be 2/(-8)*8/(-10). Solve 1/5*v - 1/5*v**3 + 1/5 - g*v**s = 0 for v.
-1, 1
Suppose -205*s = -165*s - 560. Determine p so that -8/3*p**3 - 8/3 - 14*p**2 - s*p = 0.
-4, -1, -1/4
Solve -30/13*h**2 - 214/13 - 1076/13*h = 0.
-107/3, -1/5
Suppose 75 = -5*f + 10*w, -3*w + 142 - 103 = 4*f. Factor -3/2*x + 7/4*x**2 + 0 - 1/4*x**f.
-x*(x - 6)*(x - 1)/4
Let 22/9*s**3 + 10*s + 2/9*s**4 + 0 + 26/3*s**2 = 0. What is s?
-5, -3, 0
Let f(z) be the first derivative of -z**5/30 + 7*z**4/24 - 5*z**3/18 - 7*z**2/12 + z + 1617. Factor f(i).
-(i - 6)*(i - 1)**2*(i + 1)/6
Let c(s) be the first derivative of 1/10*s**4 + 8/15*s**3 + 90 - 1/5*s**2 - 8/5*s. Determine f so that c(f) = 0.
-4, -1, 1
Suppose j - 16 = -0*j. Suppose -6*n + j = 4. Suppose 11*x**3 - 7*x**3 - 4 + 5*x**n - 4*x - x**2 = 0. Calculate x.
-1, 1
Find o, given that -7 + 1080*o**2 - 12 + 1946*o**2 - 1055*o - 876*o**2 + 9 = 0.
-2/215, 1/2
Determine w, given that -1338*w + 2/3*w**5 + 1512 - 736/3*w**2 + 40/3*w**4 + 172/3*w**3 = 0.
-9, -7, 1, 4
Let l(x) be the third derivative of -x**6/280 + 163*x**5/20 - 40755*x**4/7 + 162450*x**3/7 - x**2 - 3*x - 379. Suppose l(u) = 0. Calculate u.
1, 570
Suppose 64 = -2*s + 2*i, 0 = -2*s + 4*i - 80 + 18. Let v = 33 + s. Suppose 0*a**2 - 3/4*a**3 + v*a + 0 = 0. What is a?
0
Let j = 81 - 90. Let o = -6 - j. Suppose 2*m**2 + 3*m**3 - 3*m**2 - 4*m**3 - 2*m**2 + m + o = 0. What is m?
-3, -1, 1
Let b = -8/32173 + 5212178/611287. Let 276/19*k**3 + 2/19*k**5 + 596/19*k**2 + b + 42/19*k**4 + 522/19*k = 0. What is k?
-9, -1
Let c(w) be the first derivative of -w**6/24 + w**4/4 + w**3/6 - 3*w**2/8 - w/2 + 5805. Factor c(z).
-(z - 2)*(z - 1)*(z + 1)**3/4
Let f(i) = -2*i**2 + 3*i - 2. Let o(x) = -65*x**2 - 1300*x - 60. Let j(r) = 30*f(r) - o(r). Factor j(k).
5*k*(k + 278)
Factor 2/3*y**3 - 30*y + 4/3*y**2 - 84.
2*(y - 7)*(y + 3)*(y + 6)/3
L