 -4*b = 20, 21 + 14 = 2*t + b. Factor t*v**3 + 4*v**2 - 10*v**3 - 12*v**3.
-2*v**2*(v - 2)
Suppose -v + 3 = 0, -25 = -4*w + 3*w + v. Suppose -43*r + w = -29*r. Factor -8/9 - 22/9*y + 2/3*y**r.
2*(y - 4)*(3*y + 1)/9
Suppose 37*y - 29*y = 544. Suppose q + y - 346 = -5*c, -208 = -4*c + 4*q. Factor -216*j**3 + 221*j**3 + c + 75*j + 35*j**2 - 10.
5*(j + 1)*(j + 3)**2
Solve 16/13*g**2 + 0*g - 2/13*g**5 - 4/13*g**4 + 0 + 8/13*g**3 = 0 for g.
-2, 0, 2
Let b(w) be the third derivative of w**7/525 - 19*w**6/150 - 121*w**5/150 - 41*w**4/30 + 925*w**2 - w. Factor b(v).
2*v*(v - 41)*(v + 1)*(v + 2)/5
Determine r, given that -12/11*r**2 + 18/11*r - 2/11*r**3 + 28/11 = 0.
-7, -1, 2
Let h = 19247/4 - 9623/2. Let v(a) be the first derivative of -13/12*a**3 + a - 13/8*a**2 + h*a**4 + 42. Let v(b) = 0. What is b?
-1, 1/4, 4
Let f be 5544/(-16) + (-20)/(-8). Let c = f - -347. Factor -2/9 + 0*n**2 + 2/9*n**4 - 4/9*n**c + 4/9*n.
2*(n - 1)**3*(n + 1)/9
Let g(r) be the third derivative of 1/10*r**6 + 0 + 0*r - 1/84*r**8 + 2/15*r**5 + 0*r**7 + 0*r**4 + 0*r**3 + 24*r**2. Suppose g(u) = 0. What is u?
-1, 0, 2
Factor -1970*j + 3098*j - 470329 - 3*j**2 + 2814*j - 824618.
-3*(j - 657)**2
Let b(q) be the third derivative of q**5/15 + 83*q**4/6 + 164*q**3/3 - 1172*q**2. Let b(p) = 0. What is p?
-82, -1
Let i be ((-3)/(-2))/((22/11)/4). Suppose 2*r + 4*o - 14 = 0, i*o + 4 = 2*r + 2*o. Let 4*z**2 + 4/3*z**4 + 14/3*z**r - 2/3*z - 4/3 = 0. What is z?
-2, -1, 1/2
Let d(t) be the second derivative of -t**5/15 - 2051*t**4/18 - 58368*t**3 + 87723*t**2 + 6081*t. Factor d(m).
-2*(m + 513)**2*(2*m - 1)/3
Let r(a) be the third derivative of -a**7/840 - 59*a**6/480 - 421*a**5/240 - 223*a**4/32 - 51*a**3/4 - 2254*a**2. Suppose r(i) = 0. Calculate i.
-51, -6, -1
Let h(w) be the second derivative of 2 - w - 1/6*w**3 + 5/36*w**4 - 1/3*w**2. Let h(n) = 0. Calculate n.
-2/5, 1
Let x(f) = 10*f**2 - 50*f - 40. Let b(g) = -7 + 26*g - 53*g**2 + 48*g**2 + 26. Let t(i) = 5*b(i) + 3*x(i). Factor t(u).
5*(u - 5)*(u + 1)
What is l in 3/2*l**4 + 0*l**2 + 0 + 75/2*l**3 + 0*l = 0?
-25, 0
Let s(n) be the third derivative of -1/48*n**4 + 0 + 1/3*n**3 - 1/240*n**5 + 0*n + 99*n**2. Factor s(o).
-(o - 2)*(o + 4)/4
Suppose d = -2*f + 7, -3*f + 17 = -d + 4. Let g(v) be the third derivative of 1/12*v**5 + 0*v**3 + 0*v - 1/24*v**6 + 0 - 11*v**2 + 5/12*v**f. Factor g(q).
-5*q*(q - 2)*(q + 1)
Let w(d) be the second derivative of 3*d**5/140 - 75*d**4/28 + 1443*d**3/14 - 4107*d**2/14 - 3623*d. Let w(i) = 0. Calculate i.
1, 37
Let u = -17794 + 17799. Let q(s) be the second derivative of -3/110*s**u + 1/231*s**7 + 0*s**3 - 27*s + 1/33*s**4 + 0*s**2 + 0 + 0*s**6. Factor q(d).
2*d**2*(d - 1)**2*(d + 2)/11
Find g such that -11/5*g**5 + 0 - 39/5*g**3 + 17/5*g**2 + 7*g**4 - 2/5*g = 0.
0, 2/11, 1
Suppose 15/2*i**3 + 75*i**2 - 60 - 15*i**4 - 3/2*i**5 - 6*i = 0. What is i?
-10, -2, -1, 1, 2
Let b(h) be the first derivative of 2*h**3/9 - h**2/3 - 20*h - 750. Suppose b(g) = 0. What is g?
-5, 6
Let d(v) be the second derivative of 0 - 289/8*v**2 - 1/48*v**4 - 17/12*v**3 + 36*v. Factor d(q).
-(q + 17)**2/4
Suppose -23*c + 52 = -178. Let o(v) be the second derivative of -c*v - 5*v**3 - 75/2*v**2 - 1/4*v**4 + 0. Determine p, given that o(p) = 0.
-5
Let w(m) = -55*m**3 - 15110*m**2 - 1904975*m - 3749675. Let n(k) = -9*k**3 - 2518*k**2 - 317496*k - 624948. Let i(h) = -25*n(h) + 4*w(h). Factor i(y).
5*(y + 2)*(y + 250)**2
Let u be 0*((-594)/154 - -4). Let l(f) be the first derivative of 0*f - 5 + 1/19*f**4 + u*f**2 - 2/95*f**5 + 0*f**3 - 1/57*f**6. Find x such that l(x) = 0.
-2, 0, 1
Let y(t) be the second derivative of t**8/108 + 2*t**7/189 - t**6/135 + 25*t**2 - 94*t + 1. Let a(b) be the first derivative of y(b). Factor a(p).
4*p**3*(p + 1)*(7*p - 2)/9
Let h(x) be the first derivative of -385*x**4/2 + 20275*x**3/3 - 3320*x**2 + 260*x - 1293. What is t in h(t) = 0?
1/22, 2/7, 26
Let d(j) be the first derivative of -171/2*j**2 + 27*j**3 + 87*j + 118 + 3/4*j**4. Factor d(y).
3*(y - 1)**2*(y + 29)
Let z(t) be the first derivative of t**5/110 - 5*t**4/2 + 275*t**3 - 15125*t**2 + 29*t - 172. Let v(f) be the first derivative of z(f). Factor v(m).
2*(m - 55)**3/11
Let z(f) be the first derivative of 1/14*f**4 + 4/21*f**3 + 47 - 1/7*f**2 - 4/7*f. Factor z(t).
2*(t - 1)*(t + 1)*(t + 2)/7
Determine o so that -205*o**2 + 94*o - 468*o - 2*o**5 + 376*o**3 + 211 + 209 - 12*o**4 - 263*o**2 + 60*o**4 = 0.
-7, -1, 1, 30
Let l(q) = -22*q - 1 + q**4 + 8*q + 13*q. Let g(k) = -3*k**4 + 17*k**3 - 6*k**2 - 22*k + 6. Let d(x) = g(x) - 2*l(x). Determine r so that d(r) = 0.
-1, 2/5, 2
Let u(f) = -8*f**2 + 5*f - 10. Let l(a) = 9*a**2 - 6*a + 12. Let n(k) = -2*k + 31. Let t be n(13). Let b(j) = t*l(j) + 6*u(j). Find m such that b(m) = 0.
0
Let b(o) be the first derivative of -3*o**5/5 + 81*o**4 - 3307*o**3 + 31050*o**2 - 52500*o - 12062. Solve b(n) = 0.
1, 7, 50
Let r = -3285 + 62454/19. Let x = 214/95 - r. Determine w, given that 1/5*w**5 + 0 + 0*w - 1/5*w**4 - 1/5*w**3 + x*w**2 = 0.
-1, 0, 1
Factor 3/5*f**3 + 0 + 1020*f**2 - 5103/5*f.
3*f*(f - 1)*(f + 1701)/5
Let k = -834 + 1516. Let h = 2047/3 - k. Factor 0*p + 0*p**2 - 4/3*p**3 + 0 - h*p**5 - 4/3*p**4.
-p**3*(p + 2)**2/3
Let b(r) = 50*r**2 + 772*r - 744. Let i(y) = 42*y**2 + 768*y - 745. Let h(a) = -5*b(a) + 6*i(a). Find q such that h(q) = 0.
-375, 1
Factor 41*v + 1/4*v**4 - 13/2*v**3 + 24 + 41/4*v**2.
(v - 24)*(v - 4)*(v + 1)**2/4
Let l(a) be the first derivative of -4/9*a**3 - 2028*a - 52*a**2 - 22. Factor l(o).
-4*(o + 39)**2/3
Let q(t) be the first derivative of -t**3 + 3339*t**2 - 3716307*t + 1202. Factor q(d).
-3*(d - 1113)**2
Let h(q) be the second derivative of 4/3*q**3 + 1/3*q**4 - 98*q + 0 - 70*q**2. Suppose h(i) = 0. Calculate i.
-7, 5
Suppose 1110*z + 560*z + 1038*z = -336*z + 15220. Factor 1/5*b**4 - 3/5 + 6/5*b**3 - 14/5*b**2 - 1/5*b**z + 11/5*b.
-(b - 1)**4*(b + 3)/5
Let o(k) = -k**2 + 20*k + 20. Let p be o(0). Let u be (-10)/(-4) + ((-110)/p - -6). Suppose 0 - 9/5*n**2 + 3/5*n**u + 6/5*n = 0. What is n?
0, 1, 2
Factor -224*j + 302/11*j**4 + 3648/11*j**2 - 1816/11*j**3 + 32/11.
2*(j - 2)**3*(151*j - 2)/11
Suppose 6*k - 30 + 18 = 0. Find g, given that 12*g + 15*g**2 + 4*g**k + 14 - 21*g**2 = 0.
-1, 7
Let q(f) be the second derivative of f**7/56 - 29*f**6/40 + 609*f**5/80 - 187*f**4/16 - 138*f**3 - 513*f**2/2 - 413*f. Determine k, given that q(k) = 0.
-1, 6, 19
Let c(j) = 2*j**2 + 5*j - 25. Let y be c(-6). Find s, given that 55*s - 34 - s**3 + 12*s - y*s**2 - 4*s**2 - 11*s**2 + 0*s**2 = 0.
-34, 1
Let o = 3327/2084 - -80/521. Let 58*w + o*w**5 - 13 - 239/4*w**3 + 173/4*w**4 - 121/4*w**2 = 0. Calculate w.
-26, -1, 2/7, 1
Let i(o) be the second derivative of o**4/21 - 2908*o**3/21 + 1057058*o**2/7 + 5301*o. Factor i(v).
4*(v - 727)**2/7
Let f(b) be the first derivative of 17*b**2/2 - 574*b + 231. Let q be f(34). Factor q*w + 12/5*w**3 + 6/5 + 2/5*w**4 + 24/5*w**2.
2*(w + 1)**3*(w + 3)/5
Let q(a) be the first derivative of 5/32*a**4 + 1/3*a**3 - 62 + 1/4*a**2 + 1/40*a**5 + 0*a. Find t such that q(t) = 0.
-2, -1, 0
Suppose 0 = 4*o + 5*z - 475, 0 = -4*o - 6*z + 2*z + 476. Let u be (27/144)/(18/o). Suppose 5/2*t**2 + 5/4*t - u*t**3 - 5/2 = 0. What is t?
-1, 1, 2
Let s(x) = 9*x**2 - 12*x + 1. Let j be s(4). Factor -91 + 333 - j - 109 - 4*o**2.
-4*(o - 3)*(o + 3)
Let r(b) be the first derivative of b**3/12 + 599*b**2/8 - 423. Let r(g) = 0. What is g?
-599, 0
Let h(a) = -3*a**3 - 19*a**2 + 10*a + 2. Let c(b) = 4*b**3 + 21*b**2 - 10*b - 3. Suppose 6*o = -18*o + 144. Let f(i) = o*h(i) + 5*c(i). Factor f(g).
(g - 3)*(g - 1)*(2*g - 1)
Let j be 6/(18/15)*18/45. Let b(o) be the second derivative of 1/65*o**5 + 0*o**3 + 1/78*o**4 + 0*o**j + 0 + 1/195*o**6 - 3*o. Determine u, given that b(u) = 0.
-1, 0
Suppose 2*h + 3*b - 6 = 0, 0 = -2*h + 5*b + 12 - 6. Factor 80*m - 936*m**2 - 718*m**3 + 1328*m**h - 2 + 1982*m**3.
2*(4*m - 1)*(18*m - 1)**2
Let z(a) = -4*a**2 + 42*a + 46. Let m be z(-10). Let g = m + 14716/19. What is t in -18/19*t + 4/19 + g*t**2 + 18/19*t**3 - 14/19*t**4 = 0?
-1, 2/7, 1
Suppose 0 = -5*s + 61 + 1584. Let q be (47/s)/(4/35). Let -3/2*y**2 + y - y**3 + q + 1/4*y**4 = 0. Calculate y.
-1, 1, 5
Let x(g) be the third derivative of g**7/42 + g**6/3 + g**5 - 173*g**2 + 1. Factor x(p).
5*p**2*(p + 2)