l**2 + 2*l**3 = 0. Calculate l.
-1, 0
Let x(g) be the first derivative of -18 + 0*g**2 + 0*g - 4/5*g**5 + 2*g**4 - 4/3*g**3. Determine w so that x(w) = 0.
0, 1
Let b(z) be the second derivative of z**6/60 - 87*z**5/20 + 7213*z**4/24 + 2581*z**3 + 7921*z**2 - 243*z. Factor b(w).
(w - 89)**2*(w + 2)**2/2
Let m(a) be the third derivative of -a**8/1512 - 8*a**7/945 - 19*a**6/540 - 4*a**5/135 + 5*a**4/27 + 16*a**3/27 - a**2 - 112. Solve m(n) = 0.
-4, -2, -1, 1
Let v = 76951/150 - 513. Let h(r) be the third derivative of 1/30*r**4 + 0*r + v*r**5 + 1/15*r**3 + 0 - 4*r**2. Determine u, given that h(u) = 0.
-1
Solve -18 + 20*p - 24 + 49*p**2 + 17 - 44*p**2 = 0.
-5, 1
Let q(y) be the second derivative of y**6/270 - 7*y**5/180 + y**4/18 + 2*y + 54. Factor q(h).
h**2*(h - 6)*(h - 1)/9
Let j be (-97)/11 + 9/(-63)*-63. Let 4/11 - 6/11*k + j*k**2 = 0. Calculate k.
1, 2
Let x = -39 - 1. Let o = 201/5 + x. Suppose -1/5*d**4 + 0*d**2 + 0 + 0*d + o*d**3 = 0. Calculate d.
0, 1
Suppose -3*u - 7 = -4*u - 3*y, -4*y = -5*u + 35. Let r = -4 + u. Suppose 0*m**3 - 3 + r*m - 6*m + 3*m**2 + 3*m**3 = 0. What is m?
-1, 1
Let z(w) be the first derivative of -2*w**7/315 - w**6/18 - w**5/5 - 7*w**4/18 - 4*w**3/9 + w**2 + 9. Let a(o) be the second derivative of z(o). Factor a(t).
-4*(t + 1)**3*(t + 2)/3
Let n be (1 - 1) + -8 + 0. Let a = 11 + n. Solve a - 4*u**2 - 4*u**3 + 1 - 3*u + 5*u + 2*u = 0.
-1, 1
Let w be (-12)/32 + (-99)/(-88). Let y(a) be the first derivative of -1 + 3/2*a**2 + 0*a**3 + 0*a - w*a**4. Factor y(x).
-3*x*(x - 1)*(x + 1)
Let w be ((-28)/(-21))/(1/(-9)). Let m be (1 - -3) + w/12. Factor -2 + 0*z**3 - 4*z**3 + m*z**3 + 3*z**3 + 3*z**2 - 3*z.
(z - 1)*(z + 2)*(2*z + 1)
Let v(o) be the first derivative of -o**6/36 - o**5/30 + 5*o**4/24 + 5*o**3/18 - o**2/3 - 2*o/3 - 134. Suppose v(p) = 0. Calculate p.
-2, -1, 1, 2
Let f be -15 - 30/(-5) - 138/(-15). Factor -1/5*o**3 + 1/5 - f*o**2 + 1/5*o.
-(o - 1)*(o + 1)**2/5
Factor -1/5*c**4 - 2/5 + 3/5*c**2 - 1/5*c**3 + 1/5*c.
-(c - 1)**2*(c + 1)*(c + 2)/5
Let z(s) be the second derivative of s**6/240 + 9*s**5/160 + s**4/4 + s**3/3 + 51*s - 2. Solve z(v) = 0.
-4, -1, 0
Let i(b) be the second derivative of -b**5/20 + b**3/6 - 18*b. Let y(z) = 4*z**5 - 7*z**4 - 3*z**3 + z**2 + 5*z. Let l(n) = -10*i(n) + 2*y(n). Factor l(g).
2*g**2*(g - 1)**2*(4*g + 1)
Let a be -3 + -1 + (64/(-34) - (-48 - -42)). Solve 0 + 2/17*w**2 - 2/17*w**4 + a*w**5 - 6/17*w**3 + 4/17*w = 0.
-1, 0, 1, 2
Let p be 51/(-2)*10/15. Let s = p + 29. Determine j so that -19 - 3*j**3 + 12*j**2 - s*j + 19 = 0.
0, 2
Let n be (-12)/1 + (-2 - -18). Let m(r) be the first derivative of -10*r + 35/2*r**2 - 15*r**3 - r**5 + 25/4*r**n + 6. Factor m(v).
-5*(v - 2)*(v - 1)**3
Let c(z) = 31*z - 1 - 31*z - z**2. Let n(b) = -b**2 + 3*b - 6. Let u(d) = -6*c(d) + 3*n(d). Factor u(l).
3*(l - 1)*(l + 4)
Find v such that -30 + 8*v**2 - 12*v + 9*v - 3*v**2 + 8*v = 0.
-3, 2
Let z(j) be the second derivative of -j**6/240 - 3*j**5/80 - 19*j**3/6 + 26*j. Let m(g) be the second derivative of z(g). Determine w, given that m(w) = 0.
-3, 0
Let d(i) be the first derivative of -i**4/12 - i**3/3 - i**2/3 + 106. Factor d(p).
-p*(p + 1)*(p + 2)/3
Let -2187/2*c - 81/4*c**2 - 1/8*c**3 - 19683 = 0. Calculate c.
-54
Solve 0 - 36*h**2 - 567*h**3 - 4/7*h = 0.
-2/63, 0
Let p(s) = s**3 - s + 2. Let i be p(0). Let b be (60/(-225) - (-4)/(-10)) + 40/36. Factor -b*t - 2/9*t**i - 2/9.
-2*(t + 1)**2/9
Suppose 7*w = 35 + 42. Suppose w*q + 42 = 25*q. Factor 0 + 4/9*d - 2/9*d**4 + 2/9*d**2 - 4/9*d**q.
-2*d*(d - 1)*(d + 1)*(d + 2)/9
Suppose 4*j + 5*k - 30 = 0, 4*k = -2*j + 3*k + 12. Let p(x) be the first derivative of -2/3*x**3 - 8/5*x + 1/10*x**4 + 8/5*x**2 - j. Solve p(l) = 0.
1, 2
Let z be ((-1)/(-3))/(15/(-1260)*-21). Factor -2 + z*j + 2/3*j**2.
2*(j - 1)*(j + 3)/3
Let v be (-22)/(-10) + (-3)/15. Factor -19*o**3 + 0*o**2 - v*o**5 + 13*o**3 + 3*o**4 + 3*o**4 + 2*o**2.
-2*o**2*(o - 1)**3
Let s(i) = -5*i**4 - 8*i**3 + 10*i**2 - 3*i - 3. Let o(p) = 2*p**4 + p**3 - p**2 + 1. Let x(u) = -3*o(u) - s(u). Suppose x(y) = 0. What is y?
0, 1, 3
Suppose -11*s = -5739 + 5739. Determine k, given that 0*k**2 + s*k**4 + 4/5*k**3 - 2/5*k - 2/5*k**5 + 0 = 0.
-1, 0, 1
Let z(a) be the second derivative of -a**5/20 + a**4/2 - 3*a**3/2 + 8*a**2 + a. Let l(m) be the first derivative of z(m). Let l(r) = 0. What is r?
1, 3
Let z be 21/((-924)/(-40)) + 6/(-11). Let -2/11*x**3 + 8/11*x - z*x**2 + 16/11 = 0. What is x?
-2, 2
Let 0 + i**3 - 3/7*i**2 + 1/7*i**5 - 5/7*i**4 + 0*i = 0. What is i?
0, 1, 3
Let u(l) be the first derivative of -l**8/420 + l**7/84 - l**6/90 + 2*l**3 + 3. Let k(o) be the third derivative of u(o). Factor k(y).
-2*y**2*(y - 2)*(2*y - 1)
Let x(q) be the third derivative of q**9/5040 - q**8/448 + q**7/105 - q**6/60 - 5*q**4/24 + 6*q**2. Let k(n) be the second derivative of x(n). Factor k(y).
3*y*(y - 2)**2*(y - 1)
Let c be (-4)/26 - (-22650)/195. Factor -4*t**3 - c*t**2 + 116*t**2.
-4*t**3
Let m be 3/(-8) - (-4275)/7560. Let 0 + 10/21*w**2 - 2/21*w**5 - 2/21*w**4 + m*w + 2/7*w**3 = 0. Calculate w.
-1, 0, 2
Let w(b) be the third derivative of 17*b**5/60 - 4*b**4/3 - 2*b**3/3 + 97*b**2. Let w(s) = 0. Calculate s.
-2/17, 2
Factor 0 - 2/15*g**5 - 8/5*g**4 + 128/5*g**2 - 512/15*g - 8/15*g**3.
-2*g*(g - 2)**2*(g + 8)**2/15
Let u = 306 + -303. Let v be -1*(-4 - (u + -4)). Factor 0 - 2/5*t**v + 4/5*t**2 - 2/5*t.
-2*t*(t - 1)**2/5
Let b(y) = 21*y**2 - 114*y + 210. Let v(j) = -5*j**2 + 28*j - 52. Let i(w) = 2*b(w) + 9*v(w). Find f such that i(f) = 0.
4
Let u(d) be the first derivative of 2*d**2 - d**4 + 3 + 0*d - 2/3*d**3 + 2/5*d**5. Factor u(p).
2*p*(p - 2)*(p - 1)*(p + 1)
Let u(g) be the third derivative of g**8/112 - g**7/14 + g**6/8 + g**5/4 - 3*g**4/4 - 47*g**2 - g. Determine f, given that u(f) = 0.
-1, 0, 1, 2, 3
Solve -10/17*r**2 + 8/17 - 8/17*r + 2/17*r**4 + 10/17*r**3 - 2/17*r**5 = 0.
-2, -1, 1, 2
Determine p, given that 4/3*p**2 + 0 - 4/3*p**4 - 2/3*p**5 + 0*p**3 + 2/3*p = 0.
-1, 0, 1
Let -423 + 220*g - 175*g**3 - 140*g**4 - 373 + 756 + 65*g**5 + 290*g**2 = 0. What is g?
-1, 2/13, 2
Let b = 545 + -542. Let h(o) be the second derivative of 0 + 1/4*o**b + 1/24*o**4 + 2*o + 1/2*o**2. What is q in h(q) = 0?
-2, -1
Let d(j) be the second derivative of -j**4/36 - j**3/18 + j**2/3 + 3*j + 3. Determine t so that d(t) = 0.
-2, 1
Let a be 2/8*-2*8. Let z be (a + 7)*3*1. Find h, given that 0 + 3*h**4 - 6 - 13*h**3 - 11*h**3 - 15*h + 27*h**3 - z*h**2 = 0.
-1, 2
Let l(k) = k**2 + 13*k + 22. Let r be l(-11). Suppose r*y + t - 4 = y, t = 4. Let y*g - 1/4*g**5 + 3/4*g**4 + 1/4*g**2 + 0 - 3/4*g**3 = 0. What is g?
0, 1
What is a in -15 - 7*a**2 - 5*a**3 - 5 - 19*a**2 + 4*a**3 + 17*a**2 - 24*a = 0?
-5, -2
Let u(k) = -k**2 - 5*k - 7. Let i be u(-6). Let z be ((-6)/1)/(i - -9). Suppose 3/2*r**3 + 1/2*r + 1/2*r**4 + 0 + z*r**2 = 0. Calculate r.
-1, 0
Let z(t) be the third derivative of t**5/390 - 11*t**4/39 + 484*t**3/39 + 192*t**2. Find n, given that z(n) = 0.
22
Let t be 7/4 - ((-243)/108)/9. Factor -2/7*d**3 + 24/7 + 16/7*d - 2/7*d**t.
-2*(d - 3)*(d + 2)**2/7
Let i be (0/1 - 6)/((-135)/90). Solve -3*k**5 + k**5 - 399*k**i + 401*k**4 = 0 for k.
0, 1
Suppose -l + 2 = 4*k + l, -3*l - 5 = 2*k. Suppose 0 = -k*d + 4, -3 = -2*p - d - 1. Factor 0*v + p*v**3 - v**2 + 1/2 + 1/2*v**4.
(v - 1)**2*(v + 1)**2/2
Let i be -6 + -3 + 19/2. Let y be 1/(-5)*10/(-4). Factor 1 - i*d**2 + y*d.
-(d - 2)*(d + 1)/2
Let p(t) be the first derivative of -t**6/600 + t**5/100 - 5*t**2/2 + 21. Let g(w) be the second derivative of p(w). Factor g(f).
-f**2*(f - 3)/5
Let p(q) be the second derivative of -q**6/72 + q**5/12 - 5*q**4/24 + 8*q**3/3 - 3*q. Let n(t) be the second derivative of p(t). Solve n(a) = 0.
1
Let l(o) be the first derivative of 3/2*o**2 + 4*o - 16 - 1/3*o**3. Find d such that l(d) = 0.
-1, 4
Let h(c) be the first derivative of 0*c + 3/4*c**4 + 0*c**2 - c**3 + 14. Suppose h(x) = 0. What is x?
0, 1
Let q be (-72)/168*16/(-12). Suppose 32/7*r - q*r**2 - 64/7 = 0. Calculate r.
4
Let l(u) be the third derivative of -12*u**2 + 0 + 1/12*u**4 - 1/60*u**6 + 0*u**5 + 0*u + 0*u**3. Factor l(i).
-2*i*(i - 1)*(i + 1)
Let n be ((-6)/(-16))/(27/12). Let p = 3499 + -6997/2. Find b such that -p*b + 1/3 + 0*b**4 - n*b**5 - 1/3*b**2 + 2/3*b**3 = 0.
-2, -1, 1
Determine