034*h**3.
-h**2*(h - 1)
Let j be (2 + (-19)/(-4))/((-87)/(-58)). Suppose -4*l - 1/2*l**5 - 1/2*l**4 + 13/2*l**2 - 6 + j*l**3 = 0. What is l?
-2, -1, 1, 3
Let f(q) = 2*q**2 + 9*q - 35. Let s be f(-7). Let x be (2/6)/(9/18). Let 4/3*o + s + x*o**2 = 0. Calculate o.
-2, 0
Factor 5*f**2 - 18*f**3 + 152*f**4 + 53*f**3 - 157*f**4 - 35*f.
-5*f*(f - 7)*(f - 1)*(f + 1)
Let l(i) = 7*i - 13. Let c be l(6). Suppose 0 = -5*y + c - 4. Factor 3*w**y + 6*w**2 + 0*w**4 + 0*w**2 + 9*w**4 + 15*w**3 + 3*w**4.
3*w**2*(w + 1)**2*(w + 2)
Suppose 16*y - 16 = 8*y. Let c(b) be the second derivative of -8*b**y - 225*b**4 + 0 - 4*b - 675/2*b**5 - 60*b**3. Solve c(o) = 0 for o.
-2/15
Let z be 2/18*((-144)/(-6) - 0). Suppose 32/3*t**4 - 14/3*t**5 + 22/3*t - z*t**3 - 28/3*t**2 - 4/3 = 0. Calculate t.
-1, 2/7, 1
Let u be 8 + -15 + (-77)/(-15) + 4. Factor -u + 16/15*s**3 - 16/5*s**2 + 64/15*s - 2/15*s**4.
-2*(s - 2)**4/15
Suppose 34*n - 29*n - 80 = 0. Suppose 16*y + 19*y**5 + 9*y**5 + n - 116*y**3 + 73*y**4 - 224*y**2 - 18*y**4 = 0. Calculate y.
-2, -1/4, 2/7, 2
Factor -137*a**2 - 25 - 128*a**2 + 264*a**2 + a + 25*a.
-(a - 25)*(a - 1)
Suppose 3/2 + 3/4*y**3 + 1/4*y - 5/2*y**2 = 0. Calculate y.
-2/3, 1, 3
Let d be 5754/22 + 1/(-1). Let k = d - 260. Factor 4/11 - k*h - 14/11*h**3 - 24/11*h**2.
-2*(h + 1)**2*(7*h - 2)/11
Let v = 245/2 + -122. Let m be (16/(-12))/((-4)/6) - 2. Factor 0*f - v*f**2 + m - 3/2*f**4 + 7/4*f**3.
-f**2*(2*f - 1)*(3*f - 2)/4
Solve -59*g - g**5 + 4*g**4 - 4*g**2 - 53*g + 107*g + 6*g**3 = 0.
-1, 0, 1, 5
Let n(m) be the third derivative of -21*m**2 + 0*m**3 + 0 - 1/210*m**5 + 0*m - 1/84*m**4. Let n(o) = 0. What is o?
-1, 0
Let h(y) be the third derivative of y**7/3780 - y**5/180 - 5*y**4/12 + 14*y**2. Let i(j) be the second derivative of h(j). Determine t, given that i(t) = 0.
-1, 1
Let a = -727 - -727. Solve 0*q**2 + 3/2*q**5 + 0 - 3*q**3 + 3/2*q**4 + a*q = 0 for q.
-2, 0, 1
Let s = -143 - -276. Let q be 2/(-7) - (-437)/s. Factor 1 + 15*m**2 - 21*m**2 + 2 + q*m**4.
3*(m - 1)**2*(m + 1)**2
Let q(k) = 4*k**3 - k**2 - 19*k + 7. Let j(c) = 4*c**3 - 2*c**2 - 18*c + 6. Let t(u) = 7*j(u) - 6*q(u). Solve t(s) = 0 for s.
-1, 0, 3
Factor 0*n + 0*n**2 + 0 - 3/4*n**3 + 1/4*n**4.
n**3*(n - 3)/4
Let d = 254 + -248. Let i(x) be the first derivative of 16/5*x**5 - d - 20/3*x**3 + 4*x + 0*x**2 + 0*x**4. Find o such that i(o) = 0.
-1, -1/2, 1/2, 1
Let j be 8 + (-14)/(42/9). Let z(u) be the first derivative of 5/6*u**2 - 1/3*u**3 + 1/15*u**j - 1/12*u**4 - 2/3*u + 10. What is h in z(h) = 0?
-2, 1
Let n = -56579/60 - -943. Let y(f) be the third derivative of -n*f**5 + 0 - 1/24*f**4 + 0*f + 1/120*f**6 + 1/6*f**3 + 5*f**2. Determine z, given that y(z) = 0.
-1, 1
Let b(f) be the second derivative of -f**5/75 + f**4/30 + 11*f**2/2 - 15*f. Let o(a) be the first derivative of b(a). Solve o(h) = 0 for h.
0, 1
Suppose 6*n + 77 + 799 = 0. Let o = n - -146. Factor 1/9*h**2 - 1/3*h + o.
h*(h - 3)/9
Suppose -25 + 7 + 0*t - 14*t - t - 2*t**2 + 5*t**2 = 0. What is t?
-1, 6
Let z be (-3)/(2 + 3/(-1)). Suppose -2*d + 2*b + 50 = 0, b - 12 = -z*b. Factor 11*h**2 + 6*h**4 + 5*h**4 + 4 + 21*h**2 - 18*h - d*h**3 + h**4 - 2*h**5.
-2*(h - 2)*(h - 1)**4
Let l(b) = 4*b + 22. Let f be l(-5). Suppose -f*w + 16 - 4*w**2 + 0*w**2 - 10*w = 0. Calculate w.
-4, 1
Suppose 9 = 5*i - 4*i. Suppose i*f = 12*f - 9. Factor 16*h**2 + 3*h + 2*h**3 + 2 + 6*h**f + 7*h.
2*(h + 1)*(2*h + 1)**2
Suppose -5*m = z + 4, -z = 2*z - 2*m - 22. Suppose 9*l - z*l = 1179. Factor -594*x**3 - 8 + l*x**4 - 30*x**4 + 111*x**2 + 20 + 108*x.
3*(x - 1)**2*(11*x + 2)**2
Let f(w) be the third derivative of -w**6/1260 - w**5/315 + 5*w**4/84 + 4*w**3/7 + 18*w**2 + 3*w. Let f(g) = 0. Calculate g.
-3, 4
Let h be 0 - -4 - (-292)/2 - 3. Let d = -1027/7 + h. Solve 0 - 6/7*q**4 + 6/7*q**2 - 4/7*q + d*q**3 + 2/7*q**5 = 0 for q.
-1, 0, 1, 2
Let i = 148 - 148. Let p(k) be the first derivative of i*k**3 + 0*k**2 + 0*k**5 + 7 + 0*k - 1/6*k**6 + 1/4*k**4. Let p(c) = 0. What is c?
-1, 0, 1
Let a(d) be the first derivative of -12*d**2 + 96*d + 1/2*d**3 + 7. Determine p, given that a(p) = 0.
8
Let n be -1 - (-4 + 1) - 12/(-4). Factor 8*v**2 + 13*v**3 - 4*v**n - 24*v**3 + 23*v**3.
-4*v**2*(v - 2)*(v + 1)**2
Factor 0 - 2/17*a - 6/17*a**4 - 14/17*a**3 - 10/17*a**2.
-2*a*(a + 1)**2*(3*a + 1)/17
Factor 2*n**3 + 365*n**5 + 0*n**3 + 2*n**2 + n**3 - 2*n**4 - 366*n**5 - 2*n**3.
-n**2*(n - 1)*(n + 1)*(n + 2)
Suppose 0 = -3*p - 4*u + 10, 49*p - 53*p + 5 = -3*u. What is m in -20*m**p - 16/9 - 88/9*m - 6*m**4 - 18*m**3 = 0?
-1, -2/3
Find q, given that 1/6*q**2 + 4*q + 0 = 0.
-24, 0
Factor -2/9*x**3 + 2/9*x + 10/9 - 10/9*x**2.
-2*(x - 1)*(x + 1)*(x + 5)/9
Find b, given that 38/7*b - 36/7 - 2/7*b**2 = 0.
1, 18
Factor 4 - 10/3*o - 2/3*o**2.
-2*(o - 1)*(o + 6)/3
Let c(d) = -13*d**2 + 42*d - 67. Let t(s) = -7*s**2 + 21*s - 34. Let v(y) = 4*c(y) - 7*t(y). Factor v(r).
-3*(r - 5)*(r - 2)
Let k(i) = 5*i**3 + 7*i**2 - 56*i + 2. Let j(p) = 110*p**3 + 155*p**2 - 1230*p + 45. Let z(l) = 2*j(l) - 45*k(l). Find d such that z(d) = 0.
-4, 0, 3
Let j be (1 + -5 - -5)*4. Suppose 3*g = -x - 12, -5*g - 34 = x - j*x. Solve 12/11*d**2 + 8/11*d**x + 2/11*d**4 + 8/11*d + 2/11 = 0.
-1
Let s(l) be the first derivative of -32*l**2 - 19 - 256*l - 4/3*l**3. Determine q so that s(q) = 0.
-8
Let r(l) be the first derivative of -3*l**5/25 - 3*l**4/4 + 6*l**3/5 - 627. Factor r(m).
-3*m**2*(m - 1)*(m + 6)/5
Let w(h) = -27*h**3 - 150*h**2 + 76*h + 27. Let k(x) = 54*x**3 + 300*x**2 - 152*x - 53. Let t(j) = -6*k(j) - 10*w(j). Find l, given that t(l) = 0.
-6, -2/9, 2/3
Let d be (-10)/6 - 5*9/(-15). Factor d*b + 2/3*b**4 + 0*b**2 - 4/3*b**3 - 2/3.
2*(b - 1)**3*(b + 1)/3
Suppose -16 = -2*w - 6*w. Factor 1 - 1 + 2*i**4 + w*i**3.
2*i**3*(i + 1)
Let p(d) be the second derivative of -d**6/60 + 89*d**5/80 + 77*d**4/16 + 187*d**3/24 + 47*d**2/8 + 2*d - 65. Find f such that p(f) = 0.
-1, -1/2, 47
Let a(q) be the third derivative of q**5/120 - 19*q**4/2 + 4332*q**3 - 668*q**2. Factor a(n).
(n - 228)**2/2
Let f be (9 - 333/36)/(-1). Let n = 9/4 - 3/4. Factor n*k + f*k**2 + 9/4.
(k + 3)**2/4
Let c be ((-6)/20*-2)/((-16480)/1650 - -10). Factor -c*d - 21 + 15/2*d**2.
3*(d - 7)*(5*d + 2)/2
Let 207/8*h + 0 + 417/8*h**2 + 213/8*h**3 + 3/8*h**4 = 0. What is h?
-69, -1, 0
Suppose 2*j = 0, 14*j = -2*p + 10*j + 28. Let v be 2 + (72/p)/(-3). What is x in -2/7 - 2/7*x**3 + v*x + 2/7*x**2 = 0?
-1, 1
Let q be -5 - 64/(-12) - 8/(-3). Factor 3*v**q + 2*v**2 - 10*v**2 + 3*v + 14*v**2.
3*v*(v + 1)**2
Find u such that -40 - 2*u**2 + 52*u - 6*u**2 - 4*u**3 + 3*u**3 - 3*u**3 = 0.
-5, 1, 2
Let b be 11 + ((-2)/(-26) - 0 - 1155/143). Factor -9*p**2 - 31/3*p**b - 11/3*p**4 - 5/3*p + 2/3.
-(p + 1)**3*(11*p - 2)/3
Let f be 27/(-63)*(-5)/((-40)/(-28)). Let c(i) be the second derivative of -3/5*i**5 - 1/10*i**6 - 2*i**3 + 0 - 3/2*i**2 - f*i**4 - 7*i. Factor c(r).
-3*(r + 1)**4
Let i be 340/(-12) - 4/(-12). Let k be (-91)/i + 1/(-4). Find r such that 0*r**k + 3*r**3 - 3*r**3 + 8*r**2 - 4*r**3 = 0.
0, 2
Let y(h) be the second derivative of -3/2*h**2 + 7*h - 1/24*h**4 + 0 + 5/12*h**3. Factor y(j).
-(j - 3)*(j - 2)/2
Let x(y) be the second derivative of 0 - 1/15*y**6 + 0*y**4 + 1/10*y**5 + 0*y**3 + 4*y + 0*y**2. Let x(i) = 0. Calculate i.
0, 1
Factor 0 + 2/17*b**4 - 2/17*b**3 - 10/17*b**2 - 6/17*b.
2*b*(b - 3)*(b + 1)**2/17
Let q(k) = -5*k**4 + 50*k**3 - 165*k**2 + 219*k - 101. Let u(v) = v + 1. Let y(b) = -q(b) - u(b). Solve y(s) = 0.
1, 2, 5
Let a(z) = -7*z**2 + 66*z + 79. Let b(w) = -13*w**2 + 134*w + 157. Let p(x) = 5*a(x) - 3*b(x). Factor p(t).
4*(t - 19)*(t + 1)
Let u(n) be the first derivative of n**3/4 - 3*n**2/8 - 9*n + 44. Factor u(a).
3*(a - 4)*(a + 3)/4
Let p(o) = 25*o**2 - 35*o + 30. Let a(u) = 2*u**2 + u - 1. Let j(w) = -10*a(w) + p(w). Factor j(m).
5*(m - 8)*(m - 1)
Let i(l) be the second derivative of -l**4/6 + 2*l**3 - 5*l**2 - 106*l. Suppose i(t) = 0. What is t?
1, 5
Find n, given that -2/3*n**3 + 2/3*n - 1/3 + 1/3*n**2 = 0.
-1, 1/2, 1
Let m(b) = 86*b - 4. Let s be m(-6). Let i be (6 + s/84)/(4/(-6)). Suppose -4/7*k + i*k**2 + 2/7 = 0. What is k?
1
Let b(t) be the third derivative of t**8/50400 + t**7/6300 + 11*t**5/60 - 11*t**2. Let m(q) be the third derivative of b(q). Factor m(k).
2*k*(k + 2)/5
Let b(h) be the first derivati