05 + 19*z**6/100 - 28*z**5/75 + 37*z**4/120 - 237*z**2. Find x, given that j(x) = 0.
0, 1, 37
Suppose -16 = 2*h - 18. Suppose 13 = -c + i + 4*i, h = 5*c - 3*i. Suppose m**c + m - 1 + 2*m - 2*m - m**3 = 0. What is m?
-1, 1
Let b(x) = -30*x**2 - 210*x - 204. Let m(c) = 52*c**2 + 419*c + 409. Let f(v) = 7*b(v) + 4*m(v). Factor f(h).
-2*(h - 104)*(h + 1)
Let j(g) be the third derivative of -1/420*g**5 + 1/56*g**4 + 0*g**3 + 0*g - 14*g**2 + 0. Let j(s) = 0. What is s?
0, 3
Let c(w) be the third derivative of -w**5/20 - 5*w**4/8 + 3*w**3 + 104*w**2. Let c(p) = 0. What is p?
-6, 1
Let i be (-2 + 2)/(-4 - -1 - -1). Suppose i = -5*c + 3*n + 15, -3*c + 5*n + 7 = -2. Suppose y**2 - 1/2 + y**c - 1/2*y**4 - 1/2*y**5 - 1/2*y = 0. Calculate y.
-1, 1
Let i(d) be the third derivative of -d**7/70 - d**6/40 + 9*d**5/20 - 11*d**4/8 + 2*d**3 + 85*d**2 - d. Find r, given that i(r) = 0.
-4, 1
Let r(u) = u**3 + 5*u**2 - 3*u - 3. Let h be r(-3). Let z = h + -18. What is c in -9*c**3 - 5*c**5 + 15*c**4 - z*c**3 - 42*c**2 + 47*c**2 = 0?
0, 1
Determine c so that 0*c**4 + 781*c**2 + 28*c**3 - 829*c**2 - 4*c**4 = 0.
0, 3, 4
Factor 0*i - 242*i**2 - 1/2*i**4 + 0 + 22*i**3.
-i**2*(i - 22)**2/2
Let n(a) be the second derivative of 5*a**5/4 - 35*a**4/3 - 10*a**3 + 4*a + 9. Determine f so that n(f) = 0.
-2/5, 0, 6
Let b(q) be the third derivative of 0*q + 0*q**3 + 10*q**2 + 0 + 0*q**4 - 1/75*q**5. Factor b(a).
-4*a**2/5
Let h(l) = -l**4 - l**3. Let q(n) = n**5 + 17*n**4 + 30*n**3 - 32*n. Let m(g) = 24*h(g) + 3*q(g). Solve m(j) = 0.
-4, -2, 0, 1
Let b(w) be the first derivative of 2*w**6/9 - w**5 + 4*w**4/3 - w**3/3 - w**2/3 + 305. Solve b(l) = 0 for l.
-1/4, 0, 1, 2
Let t be (-92)/(-28) - 2/7. Suppose -c - t = -5. Factor -c*h - h**2 + 2*h + 5*h**2.
4*h**2
Let w(f) be the second derivative of -f**6/90 + f**5/4 - 7*f**4/18 - 6*f + 24. Factor w(l).
-l**2*(l - 14)*(l - 1)/3
Let q(l) be the third derivative of -l**7/490 + 11*l**6/280 + l**5/140 - 11*l**4/56 + 284*l**2. Suppose q(h) = 0. Calculate h.
-1, 0, 1, 11
Let f be 18 + -9 + 110/(-15). Factor -5/3*h + 0 - f*h**2.
-5*h*(h + 1)/3
Let u(g) be the third derivative of g**8/5880 - g**6/1260 + 2*g**3 + 12*g**2. Let a(z) be the first derivative of u(z). Factor a(y).
2*y**2*(y - 1)*(y + 1)/7
Let c = 6/713 - -701/1426. Suppose 1/2*b + c*b**2 + 1/6 + 1/6*b**3 = 0. What is b?
-1
Let c(a) be the second derivative of -a**5/70 + 11*a**4/21 + 73*a**3/21 + 50*a**2/7 - a + 4. Let c(p) = 0. Calculate p.
-2, -1, 25
Let l(j) be the first derivative of j**5/120 - j**4/4 + 3*j**3 + 15*j**2 - 14. Let k(w) be the second derivative of l(w). Factor k(r).
(r - 6)**2/2
Solve -14/3*j**2 - 2 - 16/3*j - 4/3*j**3 = 0 for j.
-3/2, -1
Suppose -10*d - 306 = 7*d. Let n be 40/30*d/(-8). Factor -9/8*q**2 - 1/4 - 1/8*q**4 - 7/8*q - 5/8*q**n.
-(q + 1)**3*(q + 2)/8
Let f be (2/4)/(56/(-74544)*3). Let a = 223 + f. Determine b, given that -40/7*b**3 - a*b**2 + 0*b - 50/7*b**4 + 0 = 0.
-2/5, 0
Let q(o) be the second derivative of -5*o**7/84 - o**6 - 19*o**5/4 + 10*o**4/3 + 225*o**3/4 - 125*o**2 + 360*o. Determine n so that q(n) = 0.
-5, -4, 1
Let m(t) be the third derivative of t**9/189 - 3*t**8/140 + t**7/35 - t**6/90 - 7*t**3/3 + 4*t**2. Let q(n) be the first derivative of m(n). Factor q(r).
4*r**2*(r - 1)**2*(4*r - 1)
Let c be 0/((153/(-306))/((-1)/2)). Factor 3/5*v**2 + 0 + c*v + 3/5*v**3.
3*v**2*(v + 1)/5
Let c(w) be the third derivative of 5/1344*w**8 - 1/32*w**6 - 1/24*w**5 + 0 + 0*w**7 + 13*w**2 + 0*w + 0*w**4 + 0*w**3. Factor c(o).
5*o**2*(o - 2)*(o + 1)**2/4
Let j(g) = 2*g**2 - 1. Let r(c) = -c**2 + 130*c - 847. Let w(q) = -2*j(q) + r(q). Factor w(z).
-5*(z - 13)**2
Let t(l) = -2*l**2 - 16*l + 20. Let p(v) = -v**2 - 14*v + 18. Let a(h) = -2*p(h) + 3*t(h). Find g such that a(g) = 0.
-6, 1
Suppose -11*j = -22 - 77. Let s be -5 - j/((-135)/138). Find o, given that 6/5*o**2 + 21/5*o**5 + 0 - s*o**3 - 6/5*o**4 + 0*o = 0.
-1, 0, 2/7, 1
Let r(y) = -7*y**3 + 30*y**2 - 125*y + 108. Let k(z) = -8*z**3 + 29*z**2 - 124*z + 110. Let q(w) = 6*k(w) - 7*r(w). Factor q(l).
(l - 32)*(l - 3)*(l - 1)
Let f(i) be the first derivative of i**5 - 5*i**4/2 - 5*i**3/3 + 5*i**2 + 54. Let f(c) = 0. What is c?
-1, 0, 1, 2
Suppose -3*v = 16 - 28. Determine k, given that k**3 + 3*k**4 + k**3 - 2*k**v = 0.
-2, 0
Let z(o) = -o**3 + 5*o**2 - 34*o + 30. Let q(j) = -3*j**3 + 16*j**2 - 102*j + 89. Let b(k) = 6*q(k) - 17*z(k). Factor b(g).
-(g - 6)*(g - 4)*(g - 1)
Let y be -2 - -1 - 5*(-7 - -6). Factor 0 - 1/2*k - 1/4*k**2 + 5/4*k**3 - 1/2*k**y.
-k*(k - 2)*(k - 1)*(2*k + 1)/4
Let v(z) be the third derivative of 2*z**7/21 + z**6/5 + z**5/15 - 471*z**2. Factor v(p).
4*p**2*(p + 1)*(5*p + 1)
Let u(z) = z**3 + z**2 - z + 1. Let l be (-75)/12 + (-2)/(-8) - -2. Let y(b) = -4*b**2 - 2*b + 2. Let i(g) = l*u(g) + 2*y(g). Factor i(a).
-4*a**2*(a + 3)
Let b(m) be the third derivative of -m**5/60 + 5*m**4/8 - 13*m**3/3 + 104*m**2. Factor b(p).
-(p - 13)*(p - 2)
Let y be (-18)/15 - 252/(-210). Let z(m) be the second derivative of 0*m**3 + y*m**4 + 1/14*m**7 + 0*m**2 + 0*m**6 - 3/20*m**5 + 5*m + 0. Solve z(k) = 0.
-1, 0, 1
Let t(x) be the second derivative of 0*x**2 - 11*x - 1/24*x**4 + 0 - 1/10*x**5 + 0*x**3 - 1/20*x**6. Factor t(f).
-f**2*(f + 1)*(3*f + 1)/2
Let a(n) be the third derivative of 5*n**8/784 - 2*n**7/35 + 6*n**6/35 - 13*n**5/70 - 5*n**4/56 + 3*n**3/7 - 87*n**2. Suppose a(f) = 0. What is f?
-2/5, 1, 3
Let m(o) be the first derivative of -98/17*o - 14/17*o**2 - 18 - 2/51*o**3. Determine n so that m(n) = 0.
-7
Let g(q) be the third derivative of 2*q**7/105 - q**6/30 - 8*q**5/15 + 2*q**4 + 8*q**2 + 3. Let g(y) = 0. What is y?
-3, 0, 2
Let z(h) = h**3 - h**2 - 13*h + 6. Let p be z(4). Factor -10 + 0*w - 2*w - 6*w**2 - 3*w + 11*w**p.
5*(w - 2)*(w + 1)
Suppose -1/5*i**4 + 2/5*i + 1/5*i**5 - 3/5*i**3 + 0 + 1/5*i**2 = 0. What is i?
-1, 0, 1, 2
Factor 0*o**2 + 0*o + 3/4*o**4 - 9/2*o**3 + 0.
3*o**3*(o - 6)/4
Let q be -6 - (-2 - (-14 - -21)). Determine o, given that -6 - 2/3*o**q + 10/3*o**2 - 2*o = 0.
-1, 3
Let z be (332/63)/(-4) - (-12)/8. Let a = z + -1/63. Solve a*o**2 + 1/2*o + 1/3 = 0.
-2, -1
Let l(w) = 7*w**3 + 105*w**2 + 1180*w + 4118. Let h(k) = -2*k**3 - 2*k - 1. Let a(d) = -2*h(d) - l(d). Find f such that a(f) = 0.
-14, -7
Factor 1/3*n + 1 - n**2 - 1/3*n**3.
-(n - 1)*(n + 1)*(n + 3)/3
Let l = 11 + 1. Suppose -6*x + 4*x + l = 2*g, 3*g - 4*x - 11 = 0. Let 11*c**g - 32*c**3 + 6*c**4 + 25*c**5 + 20*c**4 - 26*c**2 - 4*c = 0. Calculate c.
-1, -1/2, -2/9, 0, 1
Factor -128 + 377*f**4 + 32*f - 375*f**4 + 60*f**2 + 48*f**2 - 32*f**3 + 18*f**2.
2*(f - 8)**2*(f - 1)*(f + 1)
Let w(c) be the first derivative of -2*c**3/15 + 3*c**2/5 + 16*c + 83. Find b, given that w(b) = 0.
-5, 8
Suppose 0*p = -4*y + 4*p + 24, 2*y - 14 = 3*p. Let g(q) be the second derivative of 5*q - 1/60*q**y + 0*q**2 + 1/30*q**3 + 0. Factor g(i).
-i*(i - 1)/5
Factor 112/3 + 10*q + 2/3*q**2.
2*(q + 7)*(q + 8)/3
Suppose -2*u - 11 = -5*h - 0, -5*u - 4*h = -22. Suppose -4*y + 2 = -14. Factor 0*a**2 + 0*a + 2*a + a**u - a**4 - 3*a**3 + 0*a**y + a**5.
a*(a - 2)*(a - 1)*(a + 1)**2
Let v(n) = -n - 1. Let g(a) = -a**3 + 14*a**2 - 4. Let x be g(14). Let k be v(x). Solve -6*f + 6 - k*f**2 - 3 - 3 = 0 for f.
-2, 0
What is a in a**2 - 32*a + 11*a + 19*a + 4*a - 35 = 0?
-7, 5
Let c(h) be the second derivative of -h**6/180 + 4*h**5/15 + 17*h**4/36 - 8*h**3/9 - 11*h**2/4 - 257*h. Factor c(k).
-(k - 33)*(k - 1)*(k + 1)**2/6
Let b(l) be the third derivative of -l**8/120 - 121*l**7/525 - 137*l**6/60 - 1411*l**5/150 - 259*l**4/15 - 196*l**3/15 - 3*l**2 - 23. Solve b(d) = 0.
-7, -2, -1, -2/7
Suppose 0 = -5*a + 3*o + 294, 0 = 4*a - 3*o - 118 - 116. Let h be (-36)/a*10/(-3). Factor -3*g**h - 2*g**3 + 10*g**2 - 2*g - 5*g**2 - 6*g**2.
-2*g*(g + 1)**2
Let w(z) be the second derivative of 1/15*z**4 + 0*z**3 - 3/50*z**5 + 25*z + 0 + 0*z**2 + 1/75*z**6. Find l such that w(l) = 0.
0, 1, 2
Let m = -388/7 + 1573/28. Factor 1/2 - m*f - 1/4*f**4 - 1/4*f**2 + 3/4*f**3.
-(f - 2)*(f - 1)**2*(f + 1)/4
Let x(i) be the second derivative of -i**7/42 - i**6/10 + i**5/4 + i**4/4 - 2*i**3/3 - 239*i. Factor x(c).
-c*(c - 1)**2*(c + 1)*(c + 4)
Let h(b) = 4*b**2 + 36*b + 16. Let q(g) be the first derivative of g**3/3 + 7*g**2/2 + 3*g - 12. Let v(m) = -3*h(m) + 16*q(m). Find k, given t