t o(v) be the first derivative of 0*v + 3/5*v**2 + 25 + 1/5*v**3 - l*v**4 - 3/25*v**5. Solve o(r) = 0.
-2, -1, 0, 1
Suppose 0 = -554*l + 353*l + 804. Factor -6/5*x**2 - 3/5*x**l + 0 - 3*x**3 + 24/5*x.
-3*x*(x - 1)*(x + 2)*(x + 4)/5
Suppose 0 = -g - 8 - 5, 161 - 110 = 3*b - 3*g. Determine v, given that 22/3*v**2 + 0*v + 4/3*v**b - 8/3 - 6*v**3 = 0.
-1/2, 1, 2
Let u(h) be the first derivative of 3/55*h**5 + 1/22*h**4 + 7/11*h**2 - 16/33*h**3 - 46 - 3/11*h. Find t such that u(t) = 0.
-3, 1/3, 1
Let b(v) be the second derivative of 9*v**6/110 - 27*v**5/220 - 3*v**4/22 + 14*v**3/33 - 4*v**2/11 - 3*v + 248. Factor b(r).
(r + 1)*(3*r - 2)**3/11
Let w = -39 + 44. Suppose w*i - 16 = -4*m + 8, 0 = -2*i + 3*m + 5. Factor -3*l**4 - l**i - 4 - 3*l - l - 5*l**2 - 4*l**5 + 13*l**2 + 8*l**3.
-4*(l - 1)**2*(l + 1)**3
Let p(l) be the first derivative of -2*l**5/45 - 7*l**4/18 + 846. Factor p(q).
-2*q**3*(q + 7)/9
Let b(h) be the first derivative of 3*h**5/5 - 297*h**4/14 + 8*h**3 + 6129. Determine o, given that b(o) = 0.
0, 2/7, 28
Suppose 0 = 26*h + 3 - 29. Let d be 2 - 4 - (h + 36/(-6)). Factor 12/11*c**2 + 0 + 0*c + 6/11*c**d.
6*c**2*(c + 2)/11
Suppose 5*t - 2*d - 2*d = 436, -408 = -5*t - 3*d. Let k be 42/t - (-7)/18. What is n in -14/9*n + k*n**2 + 8/9*n**3 + 4/9 = 0?
-2, 1/2
Factor -478 - 196 + 1020*b - 45 - 222 - 224*b**2 - 427 + 12*b**3.
4*(b - 3)**2*(3*b - 38)
Suppose -x - 3*x + 24 = 0. Suppose -3 = -3*s + x. Factor -8*w**2 - 3*w + 11*w - 26*w**3 + 28*w**s.
2*w*(w - 2)**2
Let x(t) = -5*t**2 + 852*t - 24. Let y(b) = -13*b**2 + 2556*b - 66. Let h(n) = -11*x(n) + 4*y(n). Determine s so that h(s) = 0.
-284, 0
Suppose -417 = -2*z - 413. Factor -b + b + 3*b**4 - 965*b**2 + 962*b**z.
3*b**2*(b - 1)*(b + 1)
Let c be 13056/12096 + (-24)/28. Factor c*p**3 + 0 + 0*p - 16/9*p**2.
2*p**2*(p - 8)/9
Let g(l) be the third derivative of l**6/2340 + 5*l**5/39 + 625*l**4/39 + 217*l**3/6 - 45*l**2. Let p(v) be the first derivative of g(v). Factor p(m).
2*(m + 50)**2/13
Let b be -5*5/(-100)*(-31 - 1464/(-48))*-22. Factor 4*x + 0 + b*x**3 + 1/4*x**4 + 13/2*x**2.
x*(x + 1)*(x + 2)*(x + 8)/4
Let k(z) be the second derivative of -110/3*z**3 - 75/2*z**2 + 1 + 9*z + 1/6*z**6 - 3*z**5 - 35/2*z**4. Find j, given that k(j) = 0.
-1, 15
Factor -3*w**3 - 22*w**2 + w**3 - 52 - 4 - 20*w - 114*w + 70*w.
-2*(w + 2)**2*(w + 7)
Let h(f) = -7*f - 12 + 10 - 2 - 2. Let b be h(-2). Suppose 7*l**4 + 2*l**2 - 16*l**2 + 12*l + 8*l**4 - 19*l**3 + b - 16*l**2 = 0. Calculate l.
-1, -2/5, 2/3, 2
Let s(b) be the second derivative of 2*b**6/15 - 13*b**5/5 + 17*b**4 - 134*b**3/3 + 56*b**2 - 1181*b. Factor s(c).
4*(c - 7)*(c - 4)*(c - 1)**2
Let o(w) be the third derivative of -w**5/420 + 67*w**4/28 + 817*w**2. Factor o(q).
-q*(q - 402)/7
Let k = 243 + -241. Factor 11*r + 0*r + 11*r**k + 3 + 16*r**2 + 19*r.
3*(r + 1)*(9*r + 1)
Let p(a) be the second derivative of 0*a**2 - 2/15*a**3 + 0 + 1/60*a**4 + 6*a. Factor p(z).
z*(z - 4)/5
Suppose 51*f - 3497 + 3242 = 0. Let n(m) be the first derivative of 37 + 2*m**2 - 4/3*m**3 - m**4 + 4/5*m**f + 0*m. Let n(s) = 0. What is s?
-1, 0, 1
Let u be (1188/(-6336))/(21/(-448)). What is v in 7/2*v - u + 1/2*v**2 = 0?
-8, 1
Let g(a) be the third derivative of 3/4*a**4 + 3*a**2 + 0*a**3 + 0*a - 4 + 1/30*a**5. Solve g(x) = 0 for x.
-9, 0
Let j(r) be the second derivative of -r**6/2 + r**5 + 85*r**4/12 - 5*r**3 - 6597*r. Factor j(a).
-5*a*(a - 3)*(a + 2)*(3*a - 1)
Let k(m) = 11*m**2 + 27*m - 94. Let o(g) = g**2 + 4*g + 2. Let t(u) = -k(u) + 10*o(u). Factor t(i).
-(i - 19)*(i + 6)
Suppose -159*h - 36 = -153*h. Let w(a) = -a**4 + a**3 - 1. Let v(k) = -k**4 + k**3 - 20*k**2 + 20*k - 6. Let c(s) = h*w(s) + v(s). Factor c(q).
5*q*(q - 2)*(q - 1)*(q + 2)
Let z(h) be the third derivative of 40*h + 0 + 8/15*h**5 + 2*h**2 + 1/210*h**7 + 1/12*h**6 + 19/12*h**4 + 5/2*h**3. Determine f, given that z(f) = 0.
-5, -3, -1
Let k be (-458862)/14802 + (-678)/(-22) + 2. Find u such that 0 - 12/11*u**2 - 48/11*u**3 - k*u**4 + 6/11*u**5 + 10/11*u = 0.
-1, 0, 1/3, 5
Factor 12 + 0 - 130*d - 19*d + 66 + 50*d**2 - 377*d**3 + 374*d**3.
-(d - 13)*(d - 3)*(3*d - 2)
Let s(g) = g**3 + 14*g**2 + 11*g + 21. Let y be s(-13). Let r = -45 + y. Factor 241*w**2 - w - r - 238*w**2 + 0*w - w**4 + w**3.
-(w - 2)*(w - 1)*(w + 1)**2
Let g(u) = -7*u**3 - 3*u - 1. Let r(k) = -38*k**3 + 18*k**2 + 60*k + 49. Let i(j) = -5*g(j) + r(j). Factor i(c).
-3*(c - 9)*(c + 1)*(c + 2)
Let o(i) = i**3 + 20*i**2 + 20*i + 29. Let m be o(-19). Find v, given that 5 - 7 + 12*v**4 + 6*v + 4*v - m*v**3 - 10*v**2 = 0.
-1, 1/3, 1/2, 1
Let r(x) be the second derivative of -2*x**6/105 + 3*x**5/35 + 4*x**4/7 - 40*x**3/21 - 96*x**2/7 + 299*x. What is s in r(s) = 0?
-2, 3, 4
Factor -403202/11 - 2/11*s**2 - 1796/11*s.
-2*(s + 449)**2/11
Let q(s) be the third derivative of 0 + 3/20*s**5 - 85*s + 2*s**3 + 1/120*s**6 + s**2 + 5/6*s**4. Factor q(f).
(f + 1)*(f + 2)*(f + 6)
Suppose 339/8*t - 231/8*t**3 - 39/4*t**2 - 15/4 = 0. Calculate t.
-10/7, 1/11, 1
Let c be ((-7)/21)/(1/(-6)). Let d(v) = v**3 - v**2 - 2. Let y be d(c). Factor 2/7*a**y + 0 + 2/7*a**3 - 4/7*a.
2*a*(a - 1)*(a + 2)/7
Solve -715*n**3 - 26 + 1863*n**4 + 2556*n - 7446*n**2 + 76*n**3 + 2 = 0 for n.
-2, 2/207, 1/3, 2
Let v(d) be the third derivative of -1/16*d**3 - 1/160*d**5 - 1/32*d**4 + 70*d + 2*d**2 + 0. Factor v(o).
-3*(o + 1)**2/8
Let f be 40*-29*(-62)/13485. Solve 4*z**3 + f - 20/3*z**2 - 16/3*z = 0 for z.
-1, 2/3, 2
Let d(k) = 300753*k**3 + 94274*k**2 + 9844*k + 343. Let s(r) = -300755*r**3 - 94273*r**2 - 9845*r - 343. Let n(m) = -4*d(m) - 5*s(m). Solve n(o) = 0.
-7/67
Factor 10*r + 4*r**2 - 93*r**2 - 45*r**2 - 3*r**3 - 19*r**2 + 153 - 7*r.
-3*(r - 1)*(r + 1)*(r + 51)
Let a be (-4)/5*((-67)/(-3) - 24). Let -a*f**3 + 12*f + 20/3 + 4*f**2 = 0. What is f?
-1, 5
Suppose -17*i + 226 = -114. Find d, given that 9*d**2 - 8*d - 14*d**2 + i*d**3 - 8*d + 9*d**2 = 0.
-1, 0, 4/5
Let s(d) = -9*d**3 + 5*d**2 - 52*d + 13. Let p(j) = j**3 - j**2 + 4*j + 1. Let z = -216 - -238. Let h(b) = z*p(b) + 2*s(b). Factor h(k).
4*(k - 3)*(k - 2)*(k + 2)
Let r(m) be the second derivative of m**5/140 + m**4/7 + 8*m + 9. Determine o so that r(o) = 0.
-12, 0
Let l(p) be the second derivative of -140*p + 368/3*p**3 - 32*p**2 + 11/5*p**5 - 89/3*p**4 - 2. Let l(j) = 0. What is j?
1/11, 4
Let n be (63/28)/(3/52). Let w = 45 - n. Factor j**2 - 4*j**2 + j + 3*j**3 - j - w*j.
3*j*(j - 2)*(j + 1)
Let g(l) = -3*l - 23. Let y be g(-10). Determine t so that 351*t**2 - y*t**3 + 31*t**3 + 3*t**4 - 150*t - 336*t**2 = 0.
-5, 0, 2
Let g(r) = r**2 - 316*r + 942. Let y be g(3). Factor 3/5*z**2 + 1/5*z + 0 + 1/5*z**4 + 3/5*z**y.
z*(z + 1)**3/5
Let x(a) be the first derivative of a**6/1980 - 3*a**4/11 - 2*a**3/3 + 64*a**2 - 46. Let o(d) be the third derivative of x(d). Factor o(g).
2*(g - 6)*(g + 6)/11
Let v(a) be the second derivative of 13*a**6/6 + 85*a**5 + 11245*a**4/12 + 845*a**3/3 + 18*a - 25. Solve v(o) = 0 for o.
-13, -2/13, 0
Let y be (-379)/(-6064) + 2/(-32). Let q(j) be the first derivative of -1/12*j**2 + y*j**5 + 0*j + 0*j**3 + 1/12*j**4 - 1/36*j**6 - 25. Factor q(g).
-g*(g - 1)**2*(g + 1)**2/6
Find o, given that -2/7*o**3 + 120/7*o**2 + 116/7 - 234/7*o = 0.
1, 58
Let c = -2065 + 2070. Let d(u) be the third derivative of 0 - 1/420*u**6 - 1/42*u**c - 1/28*u**4 + 3/7*u**3 + 15*u**2 + 0*u. Factor d(h).
-2*(h - 1)*(h + 3)**2/7
Let g(n) be the first derivative of 0*n**2 - 4/5*n**5 - 44 + 0*n - 1/3*n**6 - 1/2*n**4 + 0*n**3. Factor g(k).
-2*k**3*(k + 1)**2
Let t(n) be the second derivative of 1/8*n**3 + 99*n - 1/48*n**4 + 0 + 1/2*n**2. Solve t(m) = 0 for m.
-1, 4
Suppose 514*b - 467*b - 100 + 31 = 72. Solve -74/13*i**b - 4/13*i**5 - 66/13*i**2 - 18/13*i - 30/13*i**4 + 0 = 0.
-3, -1, -1/2, 0
Suppose 15 = 3*y + 3*b, -3*b + 4*b = -5*y + 21. Determine x so that -91 - 5*x**4 + 6*x + 5*x**3 - 87*x - 17 + 6*x**y - 9*x**2 = 0.
-3, 4
Factor 472*j**2 + 3968*j - 457*j**2 - 663*j - 428 + 1528.
5*(j + 220)*(3*j + 1)
Let u be (1 - 0)*((3 - 1) + -8). Let b be (116/(-493))/(u/51). Factor -17/9*r + 4/9*r**b + 4/9.
(r - 4)*(4*r - 1)/9
Let r(q) be the first derivative of 1/5*q**5 + 40 - 19/3*q**3 + 18*q + 7/4*q**4 - 7/2*q**2. Find h such that r(h) = 0.
-9, -1, 1, 2
Suppose 182*d - 1918 = 45*d. Let f(u) be the first derivative of 5/18*u**3 - 10