*2 - 18*m**d - 16*m**2 - 8.
-2*(m - 2)**2
Let b(h) be the first derivative of -h**4/8 + 11*h**3/2 - 255*h**2/4 - 289*h/2 - 80. What is w in b(w) = 0?
-1, 17
Let m = 7729/5 - 7727/5. Determine x so that 0*x + 6/5*x**2 + 0 + m*x**3 = 0.
-3, 0
Let z be (-24)/(-9) - 1 - 808/(-606). Find u, given that -294 + 126*u + 6/7*u**z - 18*u**2 = 0.
7
Let h(p) be the second derivative of -p**7/70 - p**6/50 + 21*p**5/100 + p**4/20 - 3*p**3/5 + 35*p - 1. Suppose h(b) = 0. Calculate b.
-3, -1, 0, 1, 2
Let z(m) be the first derivative of -7*m**5/120 - 17*m**4/24 - 14*m**3/9 - m**2 - 14*m + 4. Let i(x) be the first derivative of z(x). Factor i(t).
-(t + 1)*(t + 6)*(7*t + 2)/6
Let o(k) = -k**2 - 6*k - 8. Let j be o(-4). Suppose j*c + c = 6. Let -2*h**3 + c*h**3 + 0*h**3 = 0. What is h?
0
Solve -234*h**2 - 5*h**3 + 3*h**4 + 234*h**2 - 2*h**4 = 0 for h.
0, 5
Let q = 115 - 93. Let s = -64/3 + q. Factor -1/3*i**5 + 0 - s*i**2 + 1/3*i + 2/3*i**4 + 0*i**3.
-i*(i - 1)**3*(i + 1)/3
Factor -55 + 34 + 21 - 5*g**3 - 720*g + 120*g**2.
-5*g*(g - 12)**2
Let t be (69/(-92))/((-2)/40). Factor 3/2*n**2 - 9/2*n - t.
3*(n - 5)*(n + 2)/2
Let p be (-281)/(-6) + (-3)/(-18). Let s = -45 + p. What is j in -4/5*j**s + 0 + 0*j = 0?
0
Let r be 2 + -1 + (-7443)/7425. Let z = r - -734/275. Factor 2*k - z*k**2 + 2/3.
-2*(k - 1)*(4*k + 1)/3
Suppose 0 = -b + 76 - 74. Solve -9*c - 2*c**b + c**2 + 7*c + 2*c**2 = 0 for c.
0, 2
Let a be 5 + (-57)/12 + 56/160. Let n(u) be the first derivative of -3/25*u**5 + a*u + 3/5*u**2 + 0*u**3 - 8 - 3/10*u**4. Factor n(r).
-3*(r - 1)*(r + 1)**3/5
Let x be 1/(-6) - (-62)/12. Let t(a) = 24*a**3 - 27*a**2 + 8*a. Let v(w) = -36*w**3 + 41*w**2 - 12*w. Let q(m) = x*v(m) + 7*t(m). Find k such that q(k) = 0.
0, 1/3, 1
Let c(d) be the third derivative of -d**5/300 + 133*d**4/60 - 17689*d**3/30 + 2*d**2 + 169. Solve c(l) = 0 for l.
133
Let z(r) be the first derivative of r**5 + 105*r**4/4 - 115*r**3/3 - 105*r**2/2 + 110*r + 53. Factor z(w).
5*(w - 1)**2*(w + 1)*(w + 22)
Let b(p) be the third derivative of p**5/270 - 5*p**4/36 - 16*p**3/27 - 248*p**2. What is q in b(q) = 0?
-1, 16
Let j(n) be the second derivative of -7*n**6/50 + 3*n**5/20 + 3*n**4/2 - 2*n**3 - 12*n**2/5 - 55*n. Determine w so that j(w) = 0.
-2, -2/7, 1, 2
Let b(f) be the third derivative of -f**10/15120 - f**9/10080 + f**8/5040 - 2*f**5/5 + 21*f**2. Let n(y) be the third derivative of b(y). Factor n(v).
-2*v**2*(v + 1)*(5*v - 2)
Let h(d) = -16*d + 33*d - 36*d**2 + 106 + 31*d. Let a(x) = 5*x**2 - 7*x - 15. Let i(p) = -44*a(p) - 6*h(p). Solve i(k) = 0.
-1, 6
Let w be 60/(-15) + (4 - 0) + -1. Let h be (6/20)/(2*w/(-4)). Determine u, given that h*u**2 - 2/5*u**3 + 0 - 1/5*u = 0.
0, 1/2, 1
Suppose -3*u + 4*u = -3*u. Suppose -32*p + 50*p = 54. Suppose 3/5*m**4 + 0 + u*m + 9/5*m**p + 0*m**2 = 0. What is m?
-3, 0
Determine j, given that 1/3*j**2 + 10*j + 75 = 0.
-15
Suppose u - 5*r - 4 = -0*r, 0 = -5*r. Let s(g) be the second derivative of 0 - 3*g - 1/33*g**3 + 0*g**2 + 1/66*g**u. Factor s(v).
2*v*(v - 1)/11
Let f(t) be the second derivative of 35/12*t**4 - 1/4*t**5 + 12*t - 25/2*t**3 + 0 + 45/2*t**2. Suppose f(h) = 0. Calculate h.
1, 3
Find a such that 7*a**2 + 0*a**2 - 3*a**2 - 2*a**2 - 7*a**2 = 0.
0
Factor -16/3*c - 2/3*c**2 - 10/3 + 4/3*c**3.
2*(c + 1)**2*(2*c - 5)/3
Let g be 6 + -1 - (-2 + 1)/(-1). Let p(b) be the first derivative of 6 + 1/7*b**2 + 0*b + 0*b**3 - 1/14*b**g. Find q such that p(q) = 0.
-1, 0, 1
Let n = -1306/65 + 102/5. Let p = n + 40/39. Solve p*f**2 + 0 + 0*f - 2/3*f**3 = 0.
0, 2
Suppose 3*b + 13 = 222*r - 218*r, b = 1. Suppose 0 + 0*x**2 + 3/5*x**r + 0*x + 3/5*x**3 = 0. What is x?
-1, 0
Factor 74/3*k - 73/3 - 1/3*k**2.
-(k - 73)*(k - 1)/3
What is p in 152*p + 6*p**2 - 3*p**2 + 0*p**2 + p**2 + 1444 = 0?
-19
What is u in -16/3*u + 8/3*u**2 + 4/3*u**3 - 2/3*u**4 + 0 = 0?
-2, 0, 2
Suppose 28/5 - 2/5*c**2 - 2*c = 0. Calculate c.
-7, 2
Let i be 2*(-10)/(-20)*2/32. Let v(r) be the third derivative of 1/80*r**6 + 0*r - 1/40*r**5 - i*r**4 + 0 - 2*r**2 + 1/4*r**3. Factor v(z).
3*(z - 1)**2*(z + 1)/2
Let a be 50/24 - 4/12. Let o = -30668 - -30672. Suppose a*t**3 - 9/2*t**2 - 1/4*t**o - 2 + 5*t = 0. What is t?
1, 2
Factor 34*w**5 + 23*w - 11*w**3 - 33*w**5 - 31*w - 18*w**2.
w*(w - 4)*(w + 1)**2*(w + 2)
Suppose 2 = 5*d - 13, 5*m = d + 192. Let q be 4*1 + m/(-12). Solve -1/2*t**4 + 0 + q*t**3 - 1/2*t**2 + 1/8*t**5 + 1/8*t = 0 for t.
0, 1
Let f(h) be the third derivative of h**6/1260 + h**5/35 + 3*h**4/7 + 7*h**3/3 + 15*h**2. Let t(c) be the first derivative of f(c). Suppose t(z) = 0. What is z?
-6
Let a be -17 - (9 + (-312)/12). Let a - 42/5*x**4 - 15*x**3 - 6/5*x - 39/5*x**2 = 0. What is x?
-1, -1/2, -2/7, 0
Let z be 12/(-135)*(-25)/10. Let p be (55/(-18) - -3) + 2/4. Let p*q**2 - 2/9*q**4 + 0 + 0*q - z*q**3 = 0. What is q?
-2, 0, 1
Let x(o) = -4*o**2 + 4*o. Let s = -3 - -10. Let f(q) = -q - 4*q + s*q**2 + q - 3*q. Let k(g) = 6*f(g) + 11*x(g). Factor k(l).
-2*l*(l - 1)
Let c be (3 - 2)/(-3 - 10/(-3)). Determine y, given that -45*y**2 - 159 + 260*y - 216 + 3*y**c - 35*y = 0.
5
Solve 1/7*c**2 + 0 - 6*c = 0.
0, 42
Let f(j) be the third derivative of -2*j**7/105 + 32*j**6/5 - 3072*j**5/5 + 761*j**2. Determine p so that f(p) = 0.
0, 96
Let c(a) = -a**2 + 5*a - 3. Let t be c(5). Let f be (t - -4)*(2 - 0). Factor -6*h + 6*h**2 + 2 + 4*h - f*h**3 + h - 5*h.
-2*(h - 1)**3
Let b = 11/7 - 31/21. Let i(o) be the second derivative of 2/15*o**6 + 0 - 1/3*o**4 - 4/3*o**3 - b*o**7 + 0*o**2 + 10*o + 3/5*o**5. Let i(t) = 0. Calculate t.
-1, 0, 1, 2
Let q(j) be the second derivative of j**5/10 + j**4/2 - 4*j**2 + 34*j. What is b in q(b) = 0?
-2, 1
Let p(u) be the second derivative of -u**6/40 + 3*u**5/5 - 21*u**4/8 + 5*u**3 - 33*u**2/2 - 35*u. Let x(c) be the first derivative of p(c). Factor x(q).
-3*(q - 10)*(q - 1)**2
Let t(w) = w**3 + 881*w**2 - 25208*w + 243901. Let a(v) = v**3 + 441*v**2 - 12603*v + 121951. Let u(b) = 11*a(b) - 6*t(b). Factor u(m).
5*(m - 29)**3
Let c(s) = -s**2 + 45*s - 335. Let d be c(10). Let f(m) = 3*m**2 - 2*m + 1. Let k be f(1). Solve d*z - 9*z**3 - 5*z**2 + 17*z**k + 12*z**3 + 6 = 0.
-2, -1
Let p be (-35)/21*(-108)/60. Suppose 0 + 0*y - 1/2*y**2 - 1/2*y**p = 0. What is y?
-1, 0
Let s(v) = 3*v + 26. Let x be s(5). Factor -u**2 + 3*u**2 - 8*u + 31 - x.
2*(u - 5)*(u + 1)
Let v = 19/301 + 122149/903. Let a = -134 + v. Let -2/3*l**2 + a - 2/3*l = 0. What is l?
-2, 1
Let d = 501/316 + -66/79. Factor -1/8*g**2 - d*g + 7/8.
-(g - 1)*(g + 7)/8
Let k(n) = n + 6. Let z be k(8). Suppose -z*s = -13*s. Factor 0 + s*b - 2/5*b**4 - 2/5*b**5 + 0*b**3 + 0*b**2.
-2*b**4*(b + 1)/5
What is y in -42 - 3*y + 20*y + 22*y - 2297*y**2 + 2288*y**2 = 0?
2, 7/3
Suppose -84 = 12*r - 180. Let k(x) be the first derivative of -6*x**3 + 11*x**2 + 2 - r*x + 2/5*x**5 + 1/2*x**4. Factor k(o).
2*(o - 1)**3*(o + 4)
Let l(d) = d**3 - d**2 - d - 1. Let s(a) = -11*a**3 + 61*a**2 - 44*a - 64. Let i be (-3 - -5)/(-2 + 4). Let m(b) = i*s(b) - 4*l(b). Factor m(v).
-5*(v - 3)*(v - 2)*(3*v + 2)
Let d(z) be the third derivative of z**8/120 + 9*z**7/175 + z**6/60 - 67*z**5/150 - 2*z**4/5 + 52*z**3/15 + 20*z**2 - 12. Solve d(a) = 0 for a.
-2, -13/7, 1
Let g = -207 + 210. Let w(v) be the second derivative of 1/42*v**7 - 1/5*v**6 - 4/3*v**4 + 3/2*v**g + 0 + 2*v - v**2 + 7/10*v**5. Factor w(x).
(x - 2)*(x - 1)**4
Let j = 96181/5 - 19235. What is k in -6/5*k**2 - j - 11/5*k - 1/5*k**3 = 0?
-3, -2, -1
Let i(o) be the second derivative of 13/18*o**3 + 11/36*o**4 + 1/3*o**2 + 12*o + 0. Factor i(w).
(w + 1)*(11*w + 2)/3
Let w be ((-6)/(-16))/(3/4). Let r(m) be the second derivative of -w*m**2 + 2/9*m**3 + 5*m - 1/36*m**4 + 0. Solve r(i) = 0.
1, 3
Suppose -10*h = -8*h - g - 41, 4*g - 16 = -h. Let c be ((-8)/24)/(h/(-12)). Determine a so that 3/5*a**2 + c*a**4 - 4/5*a - 4/5 + 4/5*a**3 = 0.
-2, -1, 1
Suppose -31 + 9 = -r. Factor 2*u**4 - 8*u + 33*u**5 - 4*u**3 - 14*u**3 - 31*u**5 + r*u**2.
2*u*(u - 1)**3*(u + 4)
Let c(i) be the third derivative of 1/210*i**6 + 0 - 1/210*i**5 + 1/21*i**3 + 0*i - 29*i**2 - 1/42*i**4. Solve c(q) = 0 for q.
-1, 1/2, 1
Let k = -62 + 49. Let u = -10 - k. Let 15/4*g**u + g**5 + 0 + 7/4*g**2 + 1/4*g + 13/4*g**4 = 0. What is g?
-1, -1/4, 0
Let h(y) be the first derivative of 2*y**6/15 + 16*y**5/25 - 3*y**4/5 - 24*y**3/5 + 76