0
Let r = -110303/36 + 3064. Let v(h) be the third derivative of -6*h**2 + 1/54*h**5 + 0*h - r*h**4 - 1/540*h**6 - 1/3*h**3 + 0. Solve v(z) = 0 for z.
-1, 3
Let t(x) = x**2 - 26*x - 6. Let v(i) = i**2 - i - 1. Suppose 2 = 2*k, -k = -5*p + 2*k - 33. Let j(l) = p*v(l) + t(l). Let j(c) = 0. What is c?
-4, 0
Let z(i) be the second derivative of i**5/100 - i**4/15 + i**3/10 - 34*i - 3. Determine f, given that z(f) = 0.
0, 1, 3
Let w(x) = -14*x - 26. Let k be w(-2). Suppose 2*u = -5*j + 4, -4*j + u = -2*u - 17. Factor 2 - 3*a + 1 + 31*a**j - 34*a**k + 5*a**3 - 2*a**3.
3*(a - 1)**2*(a + 1)
Factor -2/5*l**4 + 6/5*l**2 + 0 - 4/5*l**3 + 0*l.
-2*l**2*(l - 1)*(l + 3)/5
Let f(d) = 3*d**3 + 24*d**2 - 6*d - 18. Let l(t) = 3*t**3 + 25*t**2 - 7*t - 17. Let u(y) = -4*f(y) + 3*l(y). Suppose u(x) = 0. Calculate x.
-7, -1, 1
Let s = -17 + 20. Suppose w - s = -4*g + g, 9 = 3*w + 5*g. Factor -6*f**4 + 3*f**4 - 8*f**w + f**3 + f**3.
-3*f**3*(f + 2)
Suppose -5*i + 6 = t - 4*i, -3*t + i = -6. Suppose 6*k - k - 10 = 5*m, 3*k - 8 = 5*m. Suppose 14*g + 36*g**2 - k - 50*g - t - 117*g**2 = 0. What is g?
-2/9
Let o(p) be the first derivative of -11*p**4/48 - 7*p**3/6 - 3*p**2/2 + 20*p + 7. Let s(a) be the first derivative of o(a). Factor s(r).
-(r + 2)*(11*r + 6)/4
Let n(y) = y**3 + 4*y**2 - y + 22. Let g be n(-5). Find b such that -2/23*b**g + 12/23*b - 18/23 = 0.
3
Let v be ((-1)/2)/(43/((-1548)/189)). Suppose 0*i**2 - 4/21*i + 4/21*i**3 - v*i**4 + 2/21 = 0. What is i?
-1, 1
Factor 42/5 + 41/5*a - 1/5*a**2.
-(a - 42)*(a + 1)/5
Let v(l) be the third derivative of -l**6/220 - 27*l**5/110 - 135*l**4/44 + 675*l**3/11 + 45*l**2. Let v(z) = 0. Calculate z.
-15, 3
Let d be (2/10)/((-4)/(-40)). Factor 137*s**2 - 72*s**d + 8*s + 2*s**3 - 73*s**2.
2*s*(s - 2)**2
Suppose 1/2*m - 1/4*m**3 - 1/4*m**2 + 0 = 0. Calculate m.
-2, 0, 1
Let y(x) be the first derivative of -x**4/18 - 76*x**3/9 + 52*x**2 - 944*x/9 - 187. Let y(h) = 0. Calculate h.
-118, 2
Let t(r) be the first derivative of -r**4/6 + 26*r**3/9 - 10*r**2 - 313. Factor t(l).
-2*l*(l - 10)*(l - 3)/3
Let m(b) = 36*b**2 - 120*b - 720. Let d(s) = 7*s**2 - 24*s - 144. Let v(u) = 11*d(u) - 2*m(u). Let z(j) = j**2. Let l(k) = 5*v(k) - 30*z(k). Factor l(f).
-5*(f + 12)**2
Let n(r) be the first derivative of 2*r**5/25 - 22*r**3/15 + 18*r**2/5 - 16*r/5 + 835. Factor n(w).
2*(w - 2)*(w - 1)**2*(w + 4)/5
Let a(c) be the second derivative of -c**7/189 - 4*c**6/45 + 29*c**5/45 - 46*c**4/27 + 7*c**3/3 - 16*c**2/9 - 66*c. Determine i, given that a(i) = 0.
-16, 1
Let h(t) be the first derivative of -t**6/36 - 11*t**5/15 - 29*t**4/12 - 8*t**3/9 + 59*t**2/12 + 19*t/3 - 279. Let h(z) = 0. What is z?
-19, -2, -1, 1
Let i(z) be the third derivative of -19*z**6/60 - 13*z**5/10 + 55*z**4/12 + z**3 - 139*z**2. Find w, given that i(w) = 0.
-3, -1/19, 1
Find u such that -u**4 + 10*u**2 + 21*u + 1524*u**5 - 18 - 20*u**3 - 1525*u**5 + 9*u**4 = 0.
-1, 1, 2, 3
Let b be (-5)/(70/(-48)) - 84/882. Suppose -8*f**2 - 4/3 + 6*f + b*f**3 = 0. What is f?
2/5, 1
Let w(v) be the second derivative of -v**4/15 + 4*v**3/15 + 6*v**2/5 + 6*v + 1. Factor w(x).
-4*(x - 3)*(x + 1)/5
Let a(y) be the second derivative of -y**6/225 + y**4/45 - y**2/15 + 8*y + 1. Solve a(o) = 0.
-1, 1
Let z be 6/(1/6*9). Suppose -z*b - 3*b = -21. Suppose h**3 - 8*h + 0*h**2 - 2*h**2 + b*h**3 - 2*h**2 = 0. What is h?
-1, 0, 2
Let j(g) = g - 9. Let d be j(-9). Let h = d - -18. Factor 2/3*w**3 + 0*w**2 + h*w + 0.
2*w**3/3
Let u(h) = -h. Let v(w) = -4*w - 15. Let d(y) = -y**2 + 11*y + 44. Let x(s) = 3*d(s) + 8*v(s). Let l(g) = -u(g) - x(g). Find j such that l(j) = 0.
-2, 2
Let f(n) be the third derivative of n**9/120960 + n**8/8064 + n**7/1680 + 13*n**5/20 - 19*n**2 + n. Let y(k) be the third derivative of f(k). Factor y(t).
t*(t + 2)*(t + 3)/2
Determine u, given that -45/4*u + 5/4*u**2 + 45/2 = 0.
3, 6
Let r(b) be the first derivative of -2*b**6/3 - 4*b**5/5 + 9*b**4 + 20*b**3/3 - 32*b**2 - 48*b - 122. Let r(z) = 0. Calculate z.
-3, -1, 2
Let v(x) be the second derivative of 2*x**6/15 + 11*x**5/5 - 25*x**4/3 + 26*x**3/3 + 19*x. Factor v(k).
4*k*(k - 1)**2*(k + 13)
Let x be 86/(-18) + ((-6)/27 - 0). Let c(f) = -f**2 + 1. Let s(m) = -2*m**2 - 18*m + 29. Let i(h) = x*c(h) + s(h). What is n in i(n) = 0?
2, 4
Let o be (-2)/(-14)*21/18. Let l(i) be the second derivative of 65/12*i**4 + 0 + o*i**6 + 10*i**2 + 3/2*i**5 + 10*i**3 + 5*i. Solve l(a) = 0 for a.
-2, -1
Let l(u) be the second derivative of -1/4*u**2 - 2*u + 0 - 1/24*u**4 - 1/6*u**3. Factor l(m).
-(m + 1)**2/2
Suppose -58/7*y - 8/7*y**4 + 2 + 58/7*y**3 - 6/7*y**2 = 0. What is y?
-1, 1/4, 1, 7
Suppose -j = 5*h - 4, h + j = 5*j - 16. Let g(k) be the first derivative of -7 + 2/15*k**5 - 1/6*k**4 + h*k**3 + 0*k**2 + 0*k. Find t such that g(t) = 0.
0, 1
Find g, given that -28*g**5 - 86*g**4 - 688/7*g**3 - 8/7 - 362/7*g**2 - 88/7*g = 0.
-1, -1/2, -2/7
Factor -2/19*u**2 - 16/19*u + 40/19.
-2*(u - 2)*(u + 10)/19
Suppose 5*a = 3*a - 36. Let w = 20 + a. Factor -8*j + 28*j**4 - 28*j**2 - j**w + j**2 + 8*j**3.
4*j*(j - 1)*(j + 1)*(7*j + 2)
Let t be 2 + -3 + 1 + 8/24. Let i(l) be the first derivative of -1/12*l**4 + 1/3*l**3 + 3 + t*l - 1/2*l**2. Find p such that i(p) = 0.
1
Let d(s) be the second derivative of -5*s + 0*s**2 + 0 + 4/15*s**3 + 0*s**4 - 1/50*s**5. Find v, given that d(v) = 0.
-2, 0, 2
Let b(h) be the first derivative of h**4/16 + h**3/8 + 2*h + 5. Let t(o) be the first derivative of b(o). Factor t(u).
3*u*(u + 1)/4
Suppose 4*g + 3 + 5 = 0. Let f be g/(-4) + (-15)/(-10). Determine m so that 2*m**5 + 8*m**3 + 3*m**4 - 9*m**4 - 3*m**2 + m**2 - f*m**3 = 0.
0, 1
Suppose 0 = -2*y + 6. Solve -6*w**2 + 0*w**2 - y*w**5 + 6*w**3 + 3*w**3 = 0 for w.
-2, 0, 1
Let z(r) = -4*r**3 - 26*r**2 - 72*r + 100. Let o(f) be the second derivative of f**5/20 + f**3/6 - f**2/2 + f. Let s(y) = 4*o(y) + 2*z(y). Factor s(d).
-4*(d - 1)*(d + 7)**2
Let p(n) be the third derivative of n**6/30 + 2*n**5/15 + n**4/6 - 134*n**2. Factor p(q).
4*q*(q + 1)**2
Let l(t) be the third derivative of -t**8/84 - 2*t**7/105 + t**6/5 - 2*t**5/15 - 5*t**4/6 + 2*t**3 + 26*t**2. Solve l(c) = 0.
-3, -1, 1
Let m be (-8*8/(-64))/(54/24). Factor -8/9 + 2/3*f**2 - 2/9*f**4 - m*f**3 + 8/9*f.
-2*(f - 1)**2*(f + 2)**2/9
Let z be 2 + ((-2)/(-8) - 3/12). Let m(p) be the second derivative of 0 + 0*p**z - p + 1/12*p**3 - 1/8*p**4. Let m(h) = 0. What is h?
0, 1/3
Suppose -2*c + k + 2 = -1, -4*c + 5*k = 3. Factor 17 + 208*m**3 + 420*m - 51*m**3 + 1218*m**c + 23 + 1350*m**2.
5*(5*m + 2)**2*(11*m + 2)
Let d(g) = -g**3 + 8*g**2 - 10*g - 8. Let i(j) = 2*j + 2. Let x be i(2). Let v be d(x). Factor -16/7*m**2 - v*m**4 + 40/7*m**3 + 6/7*m**5 + 0 + 0*m.
2*m**2*(m - 2)**2*(3*m - 2)/7
What is r in 0*r + 0 + 21*r**2 + 9/4*r**4 + 33*r**3 = 0?
-14, -2/3, 0
Let y(m) = m**2 - 3*m - 7. Let o be y(5). Suppose -4*i + 91 = 5*p, -3*i = o*p - 2*p - 27. Let 10*s + s**2 - p*s + 4*s = 0. Calculate s.
0, 1
Let d(v) be the second derivative of v**7/5040 + v**6/1080 + v**5/720 + 2*v**3/3 - 10*v. Let p(w) be the second derivative of d(w). Let p(u) = 0. What is u?
-1, 0
Factor 23/3*f + 1/3*f**4 - f**2 - 7/3*f**3 - 14/3.
(f - 7)*(f - 1)**2*(f + 2)/3
Let v be 45*(-9)/(90/(-4)). Suppose v*c - 23*c = -15. Factor 9*l**2 + 20*l**c - 35*l + 15*l**2 - 3 + l**2 - 7.
5*(l - 1)*(l + 2)*(4*l + 1)
Let a = 0 + 1. Let h(c) = c**2 + c + 6. Let n(b) = -15. Let t(x) = -11. Let u(i) = -3*n(i) + 4*t(i). Let f(g) = a*h(g) - 6*u(g). Factor f(k).
k*(k + 1)
Let u be (4 - 4) + -4 - -21. Suppose -3*a - 4 = -13, -2*d + 11 = 3*a. Factor u*r**2 - 3 - 15*r**2 + d.
2*(r - 1)*(r + 1)
Let t(x) be the first derivative of -x**3 - 396*x**2 - 52272*x - 168. Factor t(o).
-3*(o + 132)**2
Let q(h) = 11*h**2 + 69*h. Let w(x) = -9*x**2 - 69*x. Let b(m) = 3*q(m) + 4*w(m). Factor b(a).
-3*a*(a + 23)
Suppose -g + 5*g + 92 = 0. Let i = 27 + g. Factor -2/9*a + 4/9*a**i + 0 + 0*a**3 - 4/9*a**2 + 2/9*a**5.
2*a*(a - 1)*(a + 1)**3/9
Let q be 5224/(-56) + -4*2/(-28). Let x be -3 - q/15 - 16/(-20). Factor 1/7*c**3 + 0*c + 0*c**2 + 0 - 1/7*c**x.
-c**3*(c - 1)/7
Let l be (-52)/(-6) + (-306)/51 + 2/(-3). Factor -2/3 - 2/3*d**l + 4/3*d.
-2*(d - 1)**2/3
Let j be (-8)/3276*54 + 0 + (-4)/(-14). Suppose 18/13 + j*z**2 + 12/13*z = 0. What is z?
-3
Factor 68/7*s - 36/7 - 4*s**2 - 4/7*s**3.
-4*(s