n.
2/117, 2
Suppose 4*y - 10 = -0*n - 5*n, 2*y - 5*n - 20 = 0. Factor 25*h**2 + 69 + y*h**2 - 25*h - 123 + 59.
5*(2*h - 1)*(3*h - 1)
Let o(t) be the third derivative of t**5/12 - 2225*t**4/12 + 1480*t**3 - 192*t**2 - 3*t - 4. Factor o(i).
5*(i - 888)*(i - 2)
Let g be (-20 - -7) + (-10833)/(-828). Let a(j) be the third derivative of 0 + 10/3*j**3 - g*j**5 + 35*j**2 + 0*j - 5/8*j**4. Let a(u) = 0. Calculate u.
-4, 1
Let m = 1394/15 + -184/3. Let i = -31 + m. Factor -12/5*a**3 - 3/5*a**4 - 12/5*a - i - 18/5*a**2.
-3*(a + 1)**4/5
Let y(l) be the first derivative of l**4/18 - 38*l**3/9 + 35*l**2 - 102*l + 1397. Determine a, given that y(a) = 0.
3, 51
Let v(u) = -u**3 + 14*u**2 + 19*u + 17. Let k be v(12). Let q = 4801/9 - k. Factor -5/9*r**3 + 1/9*r**4 + 8/9*r**2 + 0 - q*r.
r*(r - 2)**2*(r - 1)/9
Let d(v) be the third derivative of -85/6*v**4 + 45*v**2 - 3*v - 1/24*v**6 + 0 + 160/3*v**3 + 5/3*v**5. Suppose d(r) = 0. What is r?
2, 16
Let o(r) = 3*r**3 - 7*r**2 - 28*r - 16. Let h(b) = -b**3 - b**2 - b - 3. Suppose 3*j + 5*z + 37 = 0, 9*j - 4*j - z = -15. Let v(a) = j*h(a) - o(a). Factor v(d).
(d + 2)**2*(d + 7)
Let g(z) = -z**3 + 12*z**2 + 10*z - 91. Let y be g(13). Let f be 1 - -3 - y/(-45)*1. Factor 14/9*j**2 - 4/9*j - 2*j**3 + 0 - 2/9*j**5 + f*j**4.
-2*j*(j - 2)*(j - 1)**3/9
Suppose 5*n = 5*h + 3*n + 2, 5*h + 2*n = 2. Let m = -75803 + 75806. Find i, given that h*i**2 - 2*i + 2/3*i**m - 4/3 = 0.
-1, 2
Let f be (-9)/1*14/(-63). Determine s, given that -3*s**2 + 6*s - 3*s + 7*s + 7*s**f - 2*s = 0.
-2, 0
Let f(w) = -w**3 + w. Let y(s) = -2*s**3 - 9*s**3 - 12*s**2 - 48 - 6*s + 40 - 3*s**3. Let g = 5 + -4. Let h(r) = g*y(r) - 12*f(r). Find k such that h(k) = 0.
-4, -1
Let p = -27343 + 191419/7. Let l(t) be the first derivative of -2/21*t**3 + 10/7*t**2 - p*t + 30. Find r, given that l(r) = 0.
1, 9
Let u be -2 - (19 + 1)/(16/(-16)). Let x be (-99)/77*(-168)/u. Let 3*y**3 - x*y - 3/2*y**4 + 9/2*y**2 + 6 = 0. Calculate y.
-2, 1, 2
Let g(f) be the second derivative of -f**4/48 + 97*f**3/8 - 145*f**2/4 + 60*f + 5. Factor g(w).
-(w - 290)*(w - 1)/4
Let d(u) be the second derivative of u**4/72 + 34*u**3/9 + 45*u**2/4 + 2122*u. Factor d(k).
(k + 1)*(k + 135)/6
Let w be 8/(132/(-11) + -45)*(-12)/16. Find l, given that -12/19*l - 10/19 - w*l**2 = 0.
-5, -1
Suppose 1 = r, -g - 3*r + 2 = -4*r. Let -4*o**4 - 13*o**2 + 3*o**2 + 2*o**g + 3*o**3 + 19*o**4 = 0. What is o?
-1, 0, 2/3
Let n(p) be the third derivative of p**8/1920 + p**7/336 - p**6/360 - p**5/20 + 37*p**4/8 + 45*p**2. Let x(z) be the second derivative of n(z). Factor x(r).
(r + 1)*(r + 2)*(7*r - 6)/2
Let b(k) be the third derivative of k**6/40 - k**5/10 - 19*k**4/8 + 10*k**3 - 10*k**2 - 5*k. Factor b(a).
3*(a - 5)*(a - 1)*(a + 4)
Let m(k) be the first derivative of -8*k**3/3 + k**2/2 + k + 300. Let g(i) = -34*i**2 + 127*i - 45. Let o(z) = g(z) - 3*m(z). What is r in o(r) = 0?
2/5, 12
Let b(r) be the first derivative of r**4 - 100*r**3 - 308*r**2 + 13286. Let b(x) = 0. What is x?
-2, 0, 77
Let n(u) be the second derivative of u**10/22680 - u**8/5040 - 49*u**4/12 - 6*u. Let a(c) be the third derivative of n(c). Factor a(y).
4*y**3*(y - 1)*(y + 1)/3
Let p(i) = -i**2 - 55*i - 146. Let u = -136 - -120. Let g(w) = -4*w**2 - 164*w - 440. Let v(j) = u*p(j) + 5*g(j). Suppose v(q) = 0. What is q?
-2, 17
Let q(t) be the first derivative of -9/7*t - 99 + 0*t**4 + 3/35*t**5 + 12/7*t**2 - 6/7*t**3. Suppose q(b) = 0. What is b?
-3, 1
Let x(l) be the third derivative of -2*l**7/105 - 5*l**6/6 - 42*l**5/5 + 6762*l**2. Factor x(w).
-4*w**2*(w + 7)*(w + 18)
Let l be (-6)/(-4)*8/4. Suppose -m + l*b - 10 = 0, -2*m + 3*b - 4*b + 15 = 0. Find x such that -91*x**3 + 79*x**3 + 14*x**2 - x**m + 6*x**4 - 6*x**2 = 0.
0, 2
Let b be ((-21)/14)/((-6)/12). Suppose -406*p**3 - 364*p**b + 40*p**4 - 13*p + 822*p**3 - 240*p**2 + 4*p**5 + 157*p = 0. Calculate p.
-6, 0, 1
Let k = -106 + 125. Factor -8*f + 53*f - 24 - k*f - 2*f**2.
-2*(f - 12)*(f - 1)
Let v = 113/704 - -1647/704. Determine r, given that -11*r**2 + 6*r + 3*r**5 + v*r**4 + 4 - 27/2*r**3 = 0.
-2, -1, -1/2, 2/3, 2
Let f(n) be the third derivative of -7*n**6/24 - n**5/3 + 145*n**4/24 - 15*n**3 + 8045*n**2. Factor f(z).
-5*(z - 1)**2*(7*z + 18)
Let x(g) = 2*g**2 + 175*g - 175. Let n be x(1). Let l(w) be the second derivative of 0 + 1/84*w**4 + 3/14*w**n - 2/21*w**3 + 27*w. Find a, given that l(a) = 0.
1, 3
Let c(d) be the second derivative of d**4/54 - 233*d**3/27 - 26*d - 2. Factor c(i).
2*i*(i - 233)/9
Let k(c) be the second derivative of 2*c**6/15 + 106*c**5/5 + 35*c**4 - 2213*c. Factor k(a).
4*a**2*(a + 1)*(a + 105)
Let -25/8*q**4 - 495/4*q**3 - 225/4*q + 41/8 + 178*q**2 = 0. What is q?
-41, 1/5, 1
Let v(f) = 41*f**2 - 472*f - 477. Let c(r) = 75*r**2 - 945*r - 954. Let y(n) = -6*c(n) + 11*v(n). Factor y(a).
(a + 1)*(a + 477)
Suppose 0 = -2*a + 3*q - 9, -2*q - 5 = -3. Let o(k) = -k**2 - 7*k - 3. Let j be o(a). Factor -5*b**j - 9*b**2 + 8*b**3 - 9*b + 9*b**2 + 6.
3*(b - 1)**2*(b + 2)
Let z(q) be the second derivative of q**7/1512 + q**6/432 + 53*q**4/6 + q**2/2 - 73*q. Let b(s) be the third derivative of z(s). Solve b(w) = 0 for w.
-1, 0
Let m = 5512/3 + -1835. Let s = 18 + -15. Factor -m*j**2 + 1/3*j**s + 16/3 + 8/3*j.
(j - 4)**2*(j + 1)/3
Let x = -421951/2 - -210976. Factor x*u**4 + 0 + 3/2*u**2 - 3/2*u**3 - 1/2*u.
u*(u - 1)**3/2
Factor -416*t + 3868*t**2 - 1312200 - 2824*t - 3870*t**2.
-2*(t + 810)**2
Factor 54/7*u**2 + 0 + 72/7*u + 10/7*u**3.
2*u*(u + 3)*(5*u + 12)/7
Let j(p) be the first derivative of p**5/20 + p**4 + 7*p**3/2 + 117*p**2/2 - 65. Let o(g) be the second derivative of j(g). Factor o(t).
3*(t + 1)*(t + 7)
Factor 430*k + 122*k + 19701 - 296*k + 2744 + 414*k + 5*k**2.
5*(k + 67)**2
Factor 32/5*s**2 - 38/5*s + 2/5*s**3 - 68/5.
2*(s - 2)*(s + 1)*(s + 17)/5
Let n(h) = -4*h**4 + 33*h**3 + 195*h**2 + 565*h + 5. Let d(x) = -5*x**4 + 33*x**3 + 183*x**2 + 563*x + 6. Let k(g) = 5*d(g) - 6*n(g). What is a in k(a) = 0?
-23, -5, 0
Let z(v) be the second derivative of 5/3*v**3 + 14*v + 17/8*v**4 + 17/20*v**5 - v**2 + 0 + 7/60*v**6. What is q in z(q) = 0?
-2, -1, 1/7
Find i, given that 8829/2*i - 1341/8*i**3 - 69/4*i**4 + 13365 - 3/8*i**5 - 405/4*i**2 = 0.
-33, -6, 5
Suppose 14*g + 7 - 21 = 0. Let n(v) be the first derivative of -1/12*v**3 - 1/4*v - 1/4*v**2 - g. Factor n(u).
-(u + 1)**2/4
Let c(f) be the second derivative of 125*f**4/12 + 4400*f**3/3 + 77440*f**2 + 6*f + 14. Let c(y) = 0. Calculate y.
-176/5
Factor -11000*s - 44*s**2 + 11018*s - 180 + 46*s**2.
2*(s - 6)*(s + 15)
Let x(d) be the first derivative of 0*d**2 - 18 - 1/18*d**4 - 5*d + 1/30*d**5 + 0*d**3. Let a(s) be the first derivative of x(s). Suppose a(k) = 0. Calculate k.
0, 1
Suppose 15*v = 9*v - 21*v + 486. Let z(n) be the third derivative of 0*n**3 + v*n**2 + 0 + 1/20*n**4 - 1/100*n**5 + 0*n. Suppose z(l) = 0. What is l?
0, 2
Suppose -3*f + 145 = 25. Suppose f*i = 32 + 128. Solve -16*v**3 + 24/5*v**2 + 16/5 + 5*v**i + 64/5*v = 0 for v.
-2/5, 2
Let t(c) = 21*c - 20*c - 5 + 10. Let m be t(-3). Suppose 0 + 4/3*y**5 - 8/3*y**m + 0*y**3 - 4/3*y + 8/3*y**4 = 0. Calculate y.
-1, 0, 1
Let i = 125218/172205 + 2/15655. Factor 2/11*o**4 + 6/11*o**3 + 0*o**2 - i*o + 0.
2*o*(o - 1)*(o + 2)**2/11
Let z(w) be the third derivative of w**2 + 0 + 10/3*w**3 + 175/4*w**5 + 38*w - 20*w**4 + 625/24*w**6. Let z(n) = 0. Calculate n.
-1, 2/25
Suppose 0 = -b + j, -289*j = -3*b - 291*j + 10. Let i = 59 + -50. Let -27 - 3/4*a**b + i*a = 0. Calculate a.
6
Let m be 2/45*(-1450)/(-29) + -2. Let a(i) be the third derivative of 0*i + 1/180*i**5 + 1/18*i**4 + 16*i**2 + 0 + m*i**3. Factor a(u).
(u + 2)**2/3
Let j(q) be the second derivative of 9*q + 1/15*q**5 + 6*q**3 + 21/2*q**2 + q**4 + 0. Let u(n) be the first derivative of j(n). Suppose u(o) = 0. What is o?
-3
Let -1/4*u + 1/4*u**3 - u**2 + 1 = 0. What is u?
-1, 1, 4
Let s(l) be the second derivative of -l**5/60 - l**4/12 - l**3/6 - l**2/6 + 4004*l. Factor s(z).
-(z + 1)**3/3
Suppose -78*f**3 - 136*f - 264*f**2 - 24*f**4 - 174*f**3 - 28*f**4 + 213*f**5 - 209*f**5 - 68*f**2 = 0. What is f?
-2, -1, 0, 17
Let f be (-2170)/(-42) + (-2)/(-6). Let l be (4/7)/(f*11/154). Suppose -18/13*d + l + 42/13*d**2 - 38/13*d**3 + 12/13*d**4 = 0. What is d?
1/6, 1
Suppose 2 = 16*b - 206. Factor -3 - 57*a*