tor 9*s**2 - 13*s + s**4 - 9*s**3 + 2*s**4 + c*s.
3*s*(s - 1)**3
Let y(s) be the first derivative of -s**4/9 + 124*s**3/27 - 20*s**2/3 - 78. Let y(l) = 0. What is l?
0, 1, 30
Let x(p) be the first derivative of 5*p**4/4 - 40*p**3/3 - 25*p**2/2 + 420*p - 925. Factor x(v).
5*(v - 7)*(v - 4)*(v + 3)
Let u(t) = 2*t**2 - 3*t - 5. Let q(p) = -p - 42 + 88 - 47. Let n(z) = 3*q(z) - u(z). Let n(w) = 0. What is w?
-1, 1
Let w(t) be the second derivative of 3*t**5/160 + t**4/4 + 15*t**3/16 + 186*t + 1. Find p, given that w(p) = 0.
-5, -3, 0
Let p(x) = -4*x**3 + 2*x**2 - 1. Let n be p(-1). Factor 0 + 4*y - 3*y**2 - 8 + 17*y**2 - 4*y**2 - y**3 - 4*y**4 - y**n.
-(y - 1)**2*(y + 2)**3
Let p(j) be the third derivative of j**8/560 + j**7/70 + j**6/24 + j**5/20 + 13*j**3/6 + 14*j**2. Let y(n) be the first derivative of p(n). Factor y(d).
3*d*(d + 1)**2*(d + 2)
Let l = 67 - 65. Solve -24*f**l + 22*f**4 - 17*f**4 + 102*f**3 + 22*f**4 = 0.
-4, 0, 2/9
Let l(m) be the first derivative of -m**6/5 - 2*m**5/5 + 19*m**4/10 + 106*m**3/15 + 44*m**2/5 + 24*m/5 + 535. Suppose l(n) = 0. What is n?
-2, -1, -2/3, 3
Let n(h) be the second derivative of h**7/168 + 7*h**6/120 - 3*h**5/80 - 23*h**4/48 - 7*h**3/12 + 44*h. Factor n(l).
l*(l - 2)*(l + 1)**2*(l + 7)/4
Suppose 2*u + 5*u = 21. Let k(a) be the first derivative of -1 + 0*a + 0*a**2 + 1/3*a**u. What is s in k(s) = 0?
0
Let p(t) be the third derivative of 4*t**7/105 - t**6/5 + 7*t**5/15 - t**4/3 + 23*t**2. Let s(m) = -m**4 + m**3 - m. Let x(u) = p(u) + 4*s(u). Factor x(h).
4*h*(h - 3)*(h - 1)**2
Factor 2/5*y**2 + 188/5 - 98/5*y.
2*(y - 47)*(y - 2)/5
Let l(a) = -6*a - 8. Let x be l(-4). What is b in 5*b**3 - 49*b**3 + 14*b**2 + x*b**4 + 11*b + 6*b**2 - 3*b = 0?
-1/4, 0, 1, 2
Factor 0 - 3/4*u**3 - 9/4*u**2 + 1/4*u**4 - 5/4*u.
u*(u - 5)*(u + 1)**2/4
Suppose 1142*b = 1136*b + 24. Let y(j) be the second derivative of 7/12*j**3 - 1/60*j**6 + 1/8*j**5 + 0 - 3/8*j**b + 6*j - 1/2*j**2. Solve y(o) = 0 for o.
1, 2
Let i(n) = n**2 + 3*n + 1. Let y be i(-4). Factor -20*h - 121 + 121 + 15*h**3 + y*h**4.
5*h*(h - 1)*(h + 2)**2
Factor 8693 - 4*u**2 - 110986 - 37583 - 1496*u.
-4*(u + 187)**2
Factor 5/2 - 5*q**3 - 3/2*q**4 + 9/2*q + 1/2*q**5 - q**2.
(q - 5)*(q - 1)*(q + 1)**3/2
Find w, given that 15*w**3 - 72*w - 132*w**2 - 20*w**4 - 7*w**3 + 312*w**2 = 0.
-3, 0, 2/5, 3
Let v(z) be the first derivative of 0*z + 8 + 1/20*z**5 + 0*z**3 + 4*z**2 - 1/32*z**4. Let c(f) be the second derivative of v(f). What is m in c(m) = 0?
0, 1/4
Let g(u) be the third derivative of u**7/56 + u**6/9 + u**5/6 - 5*u**3/2 + 10*u**2. Let w(d) be the first derivative of g(d). Suppose w(r) = 0. Calculate r.
-2, -2/3, 0
Let l(v) be the third derivative of 0 + 1/720*v**5 + 0*v + 0*v**4 - 1/5040*v**7 + 0*v**6 + v**3 + 8*v**2. Let w(x) be the first derivative of l(x). Factor w(a).
-a*(a - 1)*(a + 1)/6
Let k be 1 - ((-768)/360 + 3). Let -16/15*f**2 + 0 + 8/5*f**3 + 0*f - 4/5*f**4 + k*f**5 = 0. Calculate f.
0, 2
Suppose 2*b = 3*v + 13, 26*v = 2*b + 21*v - 19. Let -1/6*g**3 + g**b - 11/6*g + 1 = 0. Calculate g.
1, 2, 3
Let j(v) be the second derivative of -v**6/60 + 11*v**5/4 - 126*v**4 - 55*v**3/6 + 3025*v**2/4 + 99*v. Let j(h) = 0. What is h?
-1, 1, 55
Let n(z) = 4*z + 0*z**2 + 9*z**2 + 2*z - 3*z**4. Let i = 203 - 202. Let b(y) = -y**4 - y**3 - y - 1. Let w(t) = i*n(t) + 3*b(t). Suppose w(h) = 0. What is h?
-1, 1/2, 1
Let z(a) = 14*a**3 + 12*a**2 - 9*a - 12. Let n(o) = 40*o**3 + 36*o**2 - 26*o - 36. Let g(u) = -5*n(u) + 14*z(u). Find k such that g(k) = 0.
-3, -1, 1
Suppose -2*f - 100 = -6*f. Suppose 2*k - 3*k - 2*s = -12, 0 = -5*s + f. Solve -10*c**4 - 13*c**3 - k*c**4 + c**3 - 3*c**2 = 0.
-1/2, 0
Suppose 3*p + 3*s - 9 = 0, -3*p = p + 3*s - 10. Suppose 2*i = 5 + p. Factor 3/2*f**2 + i*f + 0.
3*f*(f + 2)/2
Let s(p) = 4*p**2 + 2*p + 1. Let a be s(-1). Suppose a*j + j + 2*f - 18 = 0, -j + 5 = f. What is m in -4*m**j - 3*m + 0*m**2 + 4*m**2 + 5*m**5 + m - 3*m**5 = 0?
-1, 0, 1
Let x(q) be the third derivative of 4/1785*q**7 - 1/510*q**5 - 1/51*q**3 + 0 - 1/357*q**8 - 1/51*q**4 + 0*q - 31*q**2 + 1/102*q**6. Factor x(d).
-2*(d - 1)**2*(2*d + 1)**3/17
Let o(d) = -d**2 - 10*d - 1. Let c(l) = -2 + 8 + 2*l**2 + 3*l**2 + 41*l - 3. Let z(s) = -6*c(s) - 26*o(s). Solve z(v) = 0.
-1/2, 4
Suppose 5*j = -2*o + 24, 0*o = -4*o - j + 12. Let i be 5*(-1 - (-1 + -1)). Suppose -3*c + 11*c**2 - 18*c**3 + 12*c**4 + 2*c**2 - 3*c**i - c**o = 0. What is c?
0, 1
Let g = 271 + -136. Let k = 678/5 - g. Factor 3/5*v - 3/5*v**2 + 3/5 - k*v**3.
-3*(v - 1)*(v + 1)**2/5
Let w(t) be the third derivative of t**7/840 + t**6/240 - t**5/20 - 2*t**4/3 - 4*t**2. Let q(u) be the second derivative of w(u). Suppose q(l) = 0. What is l?
-2, 1
Let z(l) be the first derivative of -l**5 + 15*l**4/2 - 25*l**3/3 - 60*l**2 + 180*l - 37. Let z(j) = 0. Calculate j.
-2, 2, 3
Let 2*y**3 + 2/5 + 14/5*y + 22/5*y**2 = 0. What is y?
-1, -1/5
Let c(g) be the third derivative of g**5/330 - 3*g**4/44 - 67*g**2. Determine d so that c(d) = 0.
0, 9
Let n(c) be the first derivative of -1/3*c**3 - 2*c + 1/12*c**4 + 3 + 0*c**2. Let o(y) be the first derivative of n(y). Determine w, given that o(w) = 0.
0, 2
Let z(s) be the second derivative of -s**7/189 + s**6/45 - 2*s**4/27 - 153*s + 1. Factor z(y).
-2*y**2*(y - 2)**2*(y + 1)/9
Let d = 94/5 + -3097/165. Let v = 94/165 + d. Factor -3/5 - 9/5*k - 9/5*k**2 - v*k**3.
-3*(k + 1)**3/5
Let w(d) = -5*d**3. Let v be w(-1). Find u, given that -159*u**3 - 9*u - 10*u**5 - 86*u**4 - 17*u**4 - 2*u**v - 111*u**2 + 22*u**4 + 12 = 0.
-4, -1, 1/4
Solve -40/3 + 44/3*m - 4/3*m**2 = 0.
1, 10
Let x(n) be the third derivative of -n**8/336 + n**7/35 - 7*n**6/120 - n**5/10 + n**4/3 + 42*n**2. Find d, given that x(d) = 0.
-1, 0, 1, 2, 4
Let c = 1095 - 4377/4. What is z in -3/4*z**3 + c*z**2 + 3/4*z - 3/4 = 0?
-1, 1
Let s(x) = 4*x**4 - 4*x**3 + 8*x**2 + 8*x + 8. Suppose -24 + 25 = -z. Let u(g) = g**4 - g**3 + g + 1. Let j = 18 - 10. Let t(d) = j*u(d) + z*s(d). Factor t(l).
4*l**2*(l - 2)*(l + 1)
Determine h so that -22 - 22 - 20 + 72 - 2*h**2 = 0.
-2, 2
Let v(y) be the first derivative of 2*y**5/45 + y**4/9 - 56*y**3/27 + 46*y**2/9 - 14*y/3 + 68. Suppose v(j) = 0. What is j?
-7, 1, 3
Let j(f) be the first derivative of 13 - 10*f + 0*f**3 + 5/4*f**4 - 15/2*f**2. Determine t, given that j(t) = 0.
-1, 2
Let p(y) be the first derivative of -y**4/13 - 14*y**3/3 - 1012*y**2/13 + 1058*y/13 + 81. Factor p(m).
-2*(m + 23)**2*(2*m - 1)/13
Suppose 34 = 3*j - 5*x - 4, -x + 50 = 3*j. Let z be j/10*((-1548)/(-16))/9. Let 42/5*y**3 + 6/5*y**2 + 42/5*y**5 - z*y**4 + 0 - 4/5*y = 0. What is y?
-2/7, 0, 1/3, 1
Let j(q) be the first derivative of -14 + 0*q**3 + 10*q + 1/40*q**5 + 1/24*q**4 + 0*q**2. Let i(y) be the first derivative of j(y). Factor i(x).
x**2*(x + 1)/2
Let c(l) = 6*l + 13. Let s be c(2). Let q = 25 - s. Factor 0*h**2 + q*h + 0 + 0*h**3 - 1/4*h**4 + 1/4*h**5.
h**4*(h - 1)/4
Let q(a) be the first derivative of a**4/18 + 9*a + 3. Let m(f) be the first derivative of q(f). Factor m(r).
2*r**2/3
Let b(u) be the first derivative of u**3/3 + 2*u**2 - 2*u - 2. Let y = -6 - -3. Let t(o) = 2*o**2 + 4*o - 1. Let r(z) = y*b(z) + 2*t(z). Factor r(i).
(i - 2)**2
Let u(w) = -w**3 + 11*w**2 - 5*w + 1. Let v(r) = 5*r**3 - 45*r**2 + 20*r - 5. Let d = 4 - -21. Let z(n) = d*u(n) + 6*v(n). Factor z(p).
5*(p - 1)*(p + 1)**2
Let s(x) = -2*x**3 - 8*x**2 - 2*x - 4. Let i(l) = -4*l**3 - 5*l - 9 + 2*l - 7*l**2 - 9*l**2. Let z(f) = -4*i(f) + 9*s(f). Determine a so that z(a) = 0.
-3, -1, 0
Let b be (-38)/((-380)/66) + 1*-3. Factor 16/5*p**3 + b + 48/5*p + 2/5*p**4 + 44/5*p**2.
2*(p + 1)**2*(p + 3)**2/5
Factor 0 + 2/7*p**3 - 2/7*p**4 + 20/7*p**2 + 16/7*p.
-2*p*(p - 4)*(p + 1)*(p + 2)/7
Let v be -4 - 100/(-16) - 3/12. Factor -3*c**2 - 3 - 7 + c - c**3 + 11 + v*c**2.
-(c - 1)*(c + 1)**2
Let u(m) be the second derivative of m**7/210 + m**6/30 + 3*m**5/100 - m**4/12 - 2*m**3/15 - 30*m + 1. Let u(y) = 0. What is y?
-4, -1, 0, 1
Let i(q) = -2*q - 6. Let h be i(-8). Let d(y) = -y**2 + 13*y - 9. Let o be d(h). Factor 10*c**2 - 8*c**3 + o*c**3 + c**3 - 4*c.
2*c*(c + 1)*(7*c - 2)
Let y(h) be the first derivative of -5*h**8/336 + h**7/21 - h**6/24 - 13*h**2/2 - 16. Let q(u) be the second derivative of y(u). Solve q(n) = 0 for n.
0, 1
Let j = 1231 - 44315/36.