x + 1)/3
Let d be -27*(-15)/(233 - 8). Solve 3/5*y**4 - 9/5*y**3 + d*y**2 - 3/5*y + 0 = 0.
0, 1
Let b(w) = -3*w**3 - 9*w + 9. Let l(k) = 2*k**3 + 5*k - 5. Let f be ((30/(-1 - 2))/1)/2. Let m(z) = f*b(z) - 9*l(z). Determine p so that m(p) = 0.
0
Let s = -187/15 - -69/5. Let v(x) be the second derivative of -2*x**2 + 6*x - s*x**3 - 1/3*x**4 + 0. Determine f, given that v(f) = 0.
-1
Let i(u) be the third derivative of 1/3*u**3 + 22*u**2 - 1/18*u**4 - 1/90*u**5 + 0 + 0*u. Determine j, given that i(j) = 0.
-3, 1
Factor -42 + 58*a + 24*a**4 - 4*a**3 - 22*a**2 + 16*a**5 + 40 - 70*a.
2*(a - 1)*(a + 1)*(2*a + 1)**3
Let l = -676 + 680. Let r(f) be the second derivative of 2*f + l*f**2 + 14/3*f**3 + 0 + 3/5*f**5 + 8/3*f**4. Suppose r(q) = 0. What is q?
-1, -2/3
Let b(v) be the third derivative of -v**6/480 + v**5/120 + v**4/96 - v**3/12 - 85*v**2. Factor b(x).
-(x - 2)*(x - 1)*(x + 1)/4
Suppose 2*m + 1 = 4*w - 19, 4*m = 3*w - 15. Suppose -28*s = 4*z - 26*s, 4*z = s. Solve 1/7*b**2 + 2/7*b**4 + z - 3/7*b**3 + m*b = 0.
0, 1/2, 1
Let c(h) be the second derivative of -1/9*h**2 + 1/45*h**6 - 1/27*h**4 - 1/9*h**3 + 0 + 1/189*h**7 + 1/45*h**5 - 13*h. What is o in c(o) = 0?
-1, 1
Let r(f) be the third derivative of 0 + 7/24*f**4 + 0*f + 19*f**2 + 1/120*f**6 - 1/2*f**3 - 1/12*f**5. Determine o so that r(o) = 0.
1, 3
Let m(f) = -f**3 + 2 + 7*f**2 - 2 + 3 + 11*f. Let r(j) = -1476 - j**3 + 741 + 737 + 6*j + 3*j**2. Let y(k) = -4*m(k) + 10*r(k). Find w such that y(w) = 0.
-1, -2/3, 2
Let k(y) = y + 5. Let i be k(4). Let -8*r**3 - 6*r + 2*r - i*r**3 + 21*r**3 = 0. What is r?
-1, 0, 1
Factor 56/9*w + 2/9*w**3 + 16/3 + 20/9*w**2.
2*(w + 2)**2*(w + 6)/9
Let i(h) be the third derivative of 0*h + 10*h**2 + 1/3*h**5 + 0*h**3 + 0 - 1/24*h**6 - 2/21*h**7 + 5/24*h**4. What is o in i(o) = 0?
-1, -1/4, 0, 1
Let u be 345/9 + -1*(2 + 1). Let w = u + -34. Factor 0 + w*l**2 - 4/3*l.
4*l*(l - 1)/3
Suppose 0*f + 14 = 5*y + 4*f, 0 = -4*y + 4*f + 4. Factor 16*w**4 + 7*w**3 + y*w**3 - 19*w**4.
-3*w**3*(w - 3)
Suppose -36*n + 100 - 100 = 0. Suppose -2/7*x**4 + 0*x + 8/7*x**2 + 0*x**3 + n = 0. Calculate x.
-2, 0, 2
Let n(b) be the second derivative of -b**5/45 - 44*b**4/27 - 328*b**3/27 - 320*b**2/9 - 293*b. Factor n(i).
-4*(i + 2)**2*(i + 40)/9
Let g(k) be the third derivative of k**5/180 - 43*k**4/36 - 29*k**3/6 + 320*k**2. Find x, given that g(x) = 0.
-1, 87
Let t(j) be the first derivative of -j**8/4200 - j**7/2100 - 11*j**3/3 - 5. Let z(s) be the third derivative of t(s). Factor z(k).
-2*k**3*(k + 1)/5
Let x be (-2)/(1 + 100/(-96)). Suppose -10*j + 14*j = x. Let -57/4*n**3 - 3 - 3/4*n**5 - 21/4*n**4 - 75/4*n**2 - j*n = 0. What is n?
-2, -1
Let k(c) be the third derivative of c**7/672 + c**6/72 - 7*c**5/24 + 5*c**4/3 + 7*c**3 - c**2 + 3. Let a(d) be the first derivative of k(d). Factor a(z).
5*(z - 2)**2*(z + 8)/4
Let p(z) be the second derivative of z**9/10080 + z**8/2240 - z**6/240 - z**5/80 - 5*z**4/12 - 13*z. Let v(k) be the third derivative of p(k). Factor v(h).
3*(h - 1)*(h + 1)**3/2
Let c(f) be the third derivative of f**9/5292 - f**7/1470 - 19*f**3/6 - 2*f**2 - 42. Let r(b) be the first derivative of c(b). Factor r(k).
4*k**3*(k - 1)*(k + 1)/7
Suppose -6 = -5*n + 2*n. Let u be ((-14)/245)/((-20)/70). Factor 0 + 0*w**n - 1/5*w**3 + u*w.
-w*(w - 1)*(w + 1)/5
Let d(i) = -2*i**3 + 6*i**2 + 10*i. Let o(y) = -y**3 - y**2 - y. Let r = -12 - -11. Let u(g) = r*d(g) - 2*o(g). Factor u(j).
4*j*(j - 2)*(j + 1)
Let y(c) be the first derivative of c**6/6 - 7*c**5/5 + 15*c**4/4 - 13*c**3/3 + 2*c**2 + 221. Let y(o) = 0. What is o?
0, 1, 4
Let a be 25 + -28 + (-119)/(-21). Let v(y) = 2*y**2 - 6*y. Let u be v(4). Let a + 2*o**2 + 10/3*o**3 - u*o = 0. Calculate o.
-2, 2/5, 1
Suppose -2*s = 4*a - 0*s - 22, 0 = -5*a - 3*s + 30. Factor -9*i**4 - 4*i**2 + 6*i**2 + 8*i**4 + i**a.
-i**2*(i - 2)*(i + 1)
Determine g so that -4*g**4 - 15*g**3 + 4*g**3 + 34*g - 17*g**3 + 14*g - 2*g**2 - 14*g**2 = 0.
-6, -2, 0, 1
Suppose 3*v + o = -4, -3*o + 12 = 24. Let a(q) be the first derivative of 0*q + 12 + v*q**3 + 1/10*q**4 - 4/5*q**2. Let a(w) = 0. Calculate w.
-2, 0, 2
Let f be (-12)/24*-162 - (20 - 14). Factor -1125/4*x**2 - f*x - 5.
-5*(15*x + 2)**2/4
Let z be 5 + (15/(-5) - 5) + (-25)/(-6). Factor -5/6*k**2 - z*k - 1/2 - 1/6*k**3.
-(k + 1)**2*(k + 3)/6
Let q = -1128 - -2257/2. Let s(z) be the first derivative of 1/3*z**6 + 2/5*z**5 + 0*z**2 - 2/3*z**3 - q*z**4 + 6 + 0*z. Solve s(v) = 0 for v.
-1, 0, 1
Let k be -1 - (-24 - (-8)/4). Let p = 21 - k. Factor -3*x**2 + p*x + 5*x**5 - 8*x**5 + 6*x**4 + 3*x - 3*x**2.
-3*x*(x - 1)**3*(x + 1)
Let c(b) be the first derivative of -b**7/5460 + b**5/260 + b**4/78 - 10*b**3/3 - 1. Let a(z) be the third derivative of c(z). Factor a(p).
-2*(p - 2)*(p + 1)**2/13
Suppose -4*n**2 + 8/3*n + 0 - 176/3*n**3 + 60*n**4 = 0. What is n?
-2/9, 0, 1/5, 1
Let d(x) = -x**3 - 4*x**2 - 2*x + 6. Let a be d(-3). Let -4*p**3 + 9*p**2 - a*p - 21*p**2 + 16 + 3*p = 0. Calculate p.
-2, 1
Suppose 138*l - 1509 = 975. Find o, given that 3/2*o**2 + 54 + l*o = 0.
-6
Let u be (-25 - -25)*(-1)/2. Let g(x) be the first derivative of 2/45*x**5 - 1/9*x**2 + u*x - 6 - 2/27*x**3 + 1/18*x**4. Determine m, given that g(m) = 0.
-1, 0, 1
Suppose 19 - 47 = -14*s. Let f(z) be the first derivative of -2/9*z**3 - 1/18*z**4 - 1/3*z**2 + s - 2/9*z. Factor f(d).
-2*(d + 1)**3/9
Let u(i) be the second derivative of -i**7/42 + i**5/20 + 11*i - 1. Factor u(c).
-c**3*(c - 1)*(c + 1)
Let j = 24 - 22. Suppose 5*r - 4 = -j*i, -4*i - 1 = 2*r - 9. Find k, given that -2*k + i*k**2 + 2/3 - 2/3*k**3 = 0.
1
Find p such that -4/17*p - 2/17*p**2 - 2/17 = 0.
-1
Let b(s) be the second derivative of -3*s**5/110 + 2*s**4/11 - 16*s. Find p, given that b(p) = 0.
0, 4
Factor -r**3 - 7/9*r - 5/3*r**2 - 1/9*r**4 + 0.
-r*(r + 1)**2*(r + 7)/9
Let y be ((-28)/(-4) + (-549)/81)*3. Determine a, given that y*a - 2/3*a**5 + 0 + 4/3*a**4 - 4/3*a**2 + 0*a**3 = 0.
-1, 0, 1
Let j = -1374/133 + 218/19. Determine k so that 6/7*k**2 - 8/7*k - j - 2/7*k**4 + 4/7*k**3 = 0.
-1, 2
Let z(y) be the third derivative of y**8/420 - y**7/75 + y**5/15 - y**4/30 - y**3/5 - 62*y**2. Suppose z(n) = 0. What is n?
-1, -1/2, 1, 3
Let x = 190 + -188. Let l(a) be the first derivative of -a**2 + x - 1/3*a**3 + 0*a + 3/4*a**4 - 1/6*a**6 + 1/5*a**5. Factor l(j).
-j*(j - 2)*(j - 1)*(j + 1)**2
Let z(v) be the first derivative of v**6/36 + 13*v**5/15 + 241*v**4/24 + 460*v**3/9 + 304*v**2/3 + 256*v/3 + 139. Factor z(c).
(c + 1)**2*(c + 8)**3/6
Suppose 2*j + 60 = -4*j. Let y be (0 - (-5)/j)*(-1)/3. Factor 0 - 1/6*z**2 + y*z.
-z*(z - 1)/6
Let q(i) be the first derivative of -3*i**5/140 - 3*i**4/28 - i**3/7 + i + 15. Let f(n) be the first derivative of q(n). Factor f(r).
-3*r*(r + 1)*(r + 2)/7
Let m(i) be the third derivative of i**6/1200 + 7*i**5/600 - 23*i**4/80 + 39*i**3/20 + 3*i**2 + 49*i. Solve m(f) = 0 for f.
-13, 3
Let s(d) = 9*d**2 - 15*d. Let c(u) = -14*u**2 - 6*u**2 - 8*u + 25*u**2. Let q(k) = -11*c(k) + 6*s(k). Determine w so that q(w) = 0.
-2, 0
Let g be (-5 - 0) + 21 - -1. Suppose 6 = 2*r, -r - g = -4*d - d. Factor 0 + 0*l + 1/4*l**5 + 0*l**2 - 1/4*l**3 + 0*l**d.
l**3*(l - 1)*(l + 1)/4
Let a(p) be the first derivative of -p**4 - 5 - 7/10*p**5 + 5/12*p**6 + 0*p**2 + 2/3*p**3 + 0*p. Solve a(r) = 0 for r.
-1, 0, 2/5, 2
Let w(s) be the first derivative of s**4 - 12*s**3 - 2*s**2 + 36*s - 31. Factor w(o).
4*(o - 9)*(o - 1)*(o + 1)
Let a(q) be the second derivative of 5/12*q**4 + 0 + 0*q**2 + 0*q**3 - 11*q. Factor a(d).
5*d**2
Let p(s) be the second derivative of 0 - 13*s - 5/42*s**7 + 0*s**2 + 1/6*s**6 + 1/4*s**5 - 5/12*s**4 + 0*s**3. Suppose p(x) = 0. What is x?
-1, 0, 1
Factor 14*i + 6/7*i**2 + 32/7.
2*(i + 16)*(3*i + 1)/7
Let k(u) be the second derivative of -u**6/120 - 13*u**5/150 - 5*u**4/24 - 2*u**3/15 - 11*u**2 + 5*u + 2. Let w(r) be the first derivative of k(r). Factor w(q).
-(q + 1)*(q + 4)*(5*q + 1)/5
Factor 0 + 2/7*w**5 - 4/7*w**3 + 0*w**4 + 0*w**2 + 2/7*w.
2*w*(w - 1)**2*(w + 1)**2/7
Determine m so that 64/7 - 68/7*m + 4/7*m**2 = 0.
1, 16
Let z = -44645/11 + 4059. Factor 2/11*d + 6/11 - z*d**2.
-2*(d + 1)*(2*d - 3)/11
Let b(w) be the first derivative of 13 - 2/3*w**3 + 0*w**2 + 0*w + 1/3*w**6 + 2/5*w**5 - 1/2*w**4. Suppose b(k) = 0. Calculate k.
-1, 0, 1
Let r(l) 