 derivative of v**5/70 - 17*v**4/84 - 20*v**3/21 - 62*v**2 - 1. Solve d(g) = 0 for g.
-1, 20/3
Let y(o) be the second derivative of -o**6/105 - 3*o**5/35 + o**4/6 + 179*o. Solve y(s) = 0.
-7, 0, 1
Let d = 281 + -8429/30. Let j(g) be the second derivative of -3/4*g**4 + 6*g + 0*g**2 - d*g**6 + 0 + 3/10*g**5 + 0*g**3. Factor j(c).
-c**2*(c - 3)**2
Let g = -695 + 700. Suppose h - 1 - 1 = 0. Factor -12*u + 0*u**2 + u**2 - g*u**h + 2*u**2 - 18.
-2*(u + 3)**2
Let r(d) = 19*d**2 + 6*d + 8. Let s(y) = 18*y**2 + 7*y + 6. Let o(p) = 3*r(p) - 4*s(p). Solve o(l) = 0.
-2/3, 0
Let 6*i - 1/2*i**2 - 18 = 0. Calculate i.
6
Let z(d) be the third derivative of 1/24*d**4 + 0 + 0*d - 1/120*d**5 - 1/480*d**6 + 20*d**2 + 1/3*d**3. Factor z(x).
-(x - 2)*(x + 2)**2/4
Factor -2662/13 + 128/13*l**3 - 1056/13*l**2 + 2904/13*l.
2*(4*l - 11)**3/13
Let n(x) be the first derivative of -4*x**3/9 + 20*x**2/3 + 124. Factor n(w).
-4*w*(w - 10)/3
Suppose -119 = -14*u - 35. Let k(w) be the first derivative of -w**3 - 9/2*w**2 - 3 - u*w. Factor k(g).
-3*(g + 1)*(g + 2)
Suppose -6*p = -29 - 1. Solve -17*w**3 + 16*w**2 + 11*w**3 + 0*w**p + 2*w**5 - 4*w**4 - 8*w = 0 for w.
-2, 0, 1, 2
Factor 19*c - 114*c - 108 + 408 + 5*c**2.
5*(c - 15)*(c - 4)
Let d(n) be the third derivative of 0 + 0*n**3 + 1/840*n**7 + 0*n**6 + 0*n + 12*n**2 + 0*n**5 + 0*n**4. Factor d(f).
f**4/4
Let a(s) be the first derivative of -s**6/8 - 111*s**5/20 - 423*s**4/8 + 280*s**3 - 300*s**2 - 617. What is m in a(m) = 0?
-20, 0, 1, 2
Let d = -461/66 + 43/6. Let p(v) be the first derivative of -d*v + 0*v**3 + 2/55*v**5 - 1/11*v**4 + 6 + 2/11*v**2. Factor p(m).
2*(m - 1)**3*(m + 1)/11
Suppose -a = 5*z - 3*z + 5, 0 = -2*a - z + 2. Suppose -a*p = -4*p. Solve 0*y**2 + 0 + 2/3*y**5 + p*y + 4/3*y**4 + 2/3*y**3 = 0 for y.
-1, 0
Let w(d) be the first derivative of 20*d**3/3 - 15*d**2/2 - 5*d - 118. Factor w(o).
5*(o - 1)*(4*o + 1)
Suppose -5*g + 8 = 4*p, 0 = -p - 5*g + 2*g + 2. Let o(z) be the second derivative of 0 - 5/3*z**4 - 7*z + 2*z**3 + 4*z**p. Factor o(k).
-4*(k - 1)*(5*k + 2)
Let v = 1197 + -1192. Suppose 4/11*p**2 + 0*p - 4/11*p**4 - 2/11*p**3 + 2/11*p**v + 0 = 0. What is p?
-1, 0, 1, 2
Let g(r) = 9*r - 6. Let s be g(1). Let t(u) be the first derivative of 2/9*u**s - 2/15*u**5 + 1/6*u**4 - 1/3*u**2 - 7 + 0*u. Factor t(x).
-2*x*(x - 1)**2*(x + 1)/3
Suppose 3*k = 7*k. Suppose k = -5*z - 25, -11 = y + 5*z + 3. Determine g so that -11 + 4*g**3 + y = 0.
0
Let h = -3319 + 3321. Find t such that 2/3*t + 4/9 + 2/9*t**h = 0.
-2, -1
Let q be 12*(-13 - -14 - 8/6). Let m(r) = r**3 + r**2 + 1. Let a(n) = -28*n**2 - 52*n - 20. Let h(s) = q*m(s) + a(s). Find k, given that h(k) = 0.
-6, -1
Let k = -115 - 69. Let m = k - -186. What is t in 3/2*t**4 + t**m + 0*t + 0 + 7/2*t**3 = 0?
-2, -1/3, 0
Let g(n) be the second derivative of n**4/57 + 13*n**3/57 + 164*n. Factor g(s).
2*s*(2*s + 13)/19
Suppose -443*o**2 - 4*o + 0*o**3 - o**5 + o + 2*o**4 + 441*o**2 + 4*o**3 = 0. What is o?
-1, 0, 1, 3
Let z = -1/1231 + 1294/77553. Let n(t) be the second derivative of -1/15*t**5 + 0 + z*t**7 + 0*t**2 + 1/9*t**3 + 9*t + 0*t**6 + 0*t**4. Factor n(y).
2*y*(y - 1)**2*(y + 1)**2/3
Suppose 0 = -5*s - 2*o + 6, -2750*s + 2747*s + 3 = o. Determine p so that -8/3*p**4 + 0 - 1/3*p**5 - 10/3*p**2 - 17/3*p**3 + s*p = 0.
-5, -2, -1, 0
Let p(k) be the first derivative of 0*k - 1/210*k**5 + 0*k**2 - 4/3*k**3 - 1/1260*k**6 - 1/84*k**4 + 5. Let z(y) be the third derivative of p(y). Factor z(b).
-2*(b + 1)**2/7
Factor -2/13*l**3 - 4/13 + 4/13*l**2 + 2/13*l.
-2*(l - 2)*(l - 1)*(l + 1)/13
Suppose l = -o + 4, 3*o - l = 11 - 3. Let -6*i**3 + 3/2*i**5 + 0 - 12*i**2 + 0*i + o*i**4 = 0. Calculate i.
-2, 0, 2
Solve 16*v - 18*v - v**3 - v**3 + 8*v - 4*v**2 = 0.
-3, 0, 1
Let v(w) be the third derivative of -17*w**5/12 + 175*w**4/24 - 5*w**3/3 - 299*w**2. Let v(g) = 0. What is g?
1/17, 2
Let x be (21/(-14) + 1)/(3/(-84)). Solve -10/3 - 8/3*b**2 - x*b = 0.
-5, -1/4
Let r(j) be the third derivative of j**7/420 - 17*j**6/120 + 12*j**5/5 + 17*j**4/24 - 289*j**3/12 - 45*j**2. Solve r(z) = 0 for z.
-1, 1, 17
Let t(j) be the second derivative of -j**4/12 + 4*j**3/3 - 8*j**2 - 35*j - 6. Factor t(v).
-(v - 4)**2
Let w(t) be the third derivative of -t**6/200 + 7*t**5/100 - 3*t**4/20 + 141*t**2 + t. Suppose w(h) = 0. Calculate h.
0, 1, 6
Let o(k) be the second derivative of -k**5/40 - 13*k**4/24 - 11*k**3/6 - 25*k + 2. Factor o(t).
-t*(t + 2)*(t + 11)/2
Let m(z) be the third derivative of 0*z + 5*z**2 + 1/150*z**5 + 0*z**3 + 1/300*z**6 - 1/30*z**4 + 0. Determine n, given that m(n) = 0.
-2, 0, 1
Let d(a) = -6*a + 48. Let p be d(9). Let x(s) = -8*s**2 - 9*s - 5. Let o(z) = 9*z**2 + 9*z + 6. Let v(h) = p*x(h) - 5*o(h). Suppose v(j) = 0. Calculate j.
-3, 0
Let y be (-22)/(-26) + -1 + (-5858)/(-3939). Let d(h) be the first derivative of 3 + 0*h - h**4 + 4*h**2 + y*h**3. Factor d(o).
-4*o*(o - 2)*(o + 1)
Let 2*c**4 + 2*c**5 + 69*c - 112*c + 59*c - 10*c**3 + 0*c**4 + 0*c**4 - 2*c**2 - 8 = 0. Calculate c.
-2, 1
Let u(w) be the first derivative of -w**4 - 136*w**3/3 + 74*w**2 + 280*w - 542. Factor u(l).
-4*(l - 2)*(l + 1)*(l + 35)
Let r(b) be the second derivative of b**5/4 + 5*b**4/6 - 5*b**3/6 - 5*b**2 + 37*b + 2. What is x in r(x) = 0?
-2, -1, 1
Let h(o) be the third derivative of -o**7/490 - o**6/280 + 9*o**5/35 + 9*o**4/14 + 403*o**2. Solve h(n) = 0.
-6, -1, 0, 6
Let b = -41089/44 - -3739/4. Find t such that -12/11 + 2/11*t**2 + b*t = 0.
-6, 1
Suppose 5*p + 25 = 0, -3*z + 3 = 2*p + 4. Let c be (z/27 + -1)*42/(-28). Let 0 - 2*d**2 + 2/3*d**3 + c*d = 0. Calculate d.
0, 1, 2
Factor -21*p - 87 + 181*p - 50*p**2 - 83 + 10 + 5*p**3.
5*(p - 4)**2*(p - 2)
Let n(t) be the second derivative of t**7/252 + 4*t**6/45 + 9*t**5/20 + 19*t**4/18 + 49*t**3/36 + t**2 - 11*t + 1. Solve n(w) = 0 for w.
-12, -1
Let a be (-1)/1 + 14/3. Let c(u) = -u**3 - 57*u**2 - 161*u + 57. Let n be c(-54). What is r in 0 - 2/3*r + 3*r**5 - a*r**2 - 7/3*r**n + 11/3*r**4 = 0?
-1, -2/9, 0, 1
Let a = -2141 - -2145. Let y(x) be the first derivative of -2/15*x**3 + 6 + 2/5*x - 1/5*x**2 + 1/10*x**a. Suppose y(f) = 0. Calculate f.
-1, 1
Let h(z) be the third derivative of -z**8/420 + z**6/90 - z**3/3 - 15*z**2. Let d(t) be the first derivative of h(t). Suppose d(j) = 0. Calculate j.
-1, 0, 1
Let p(u) be the second derivative of -u**7/42 - u**6/30 + 7*u**5/20 + 13*u**4/12 + u**3 + 81*u. Factor p(s).
-s*(s - 3)*(s + 1)**2*(s + 2)
Let h(v) be the first derivative of v**4/5 + 14*v**3/15 - 7*v**2/5 - 24*v/5 + 225. Solve h(o) = 0.
-4, -1, 3/2
Let y(h) be the first derivative of -h**4/3 + 4*h**3/3 + 6*h**2 + 6*h - 17. Let w(i) be the first derivative of y(i). Let w(b) = 0. Calculate b.
-1, 3
Suppose 0 = 5*v - 5*j - 45, 0 = -v - j + 2 - 3. Suppose v*g - 2*g - 4 = 0. Factor 0 + g + 36*s**2 + 4 + 17*s + 15*s**3 + 10*s.
3*(s + 1)**2*(5*s + 2)
Let i(f) = f**2 - 1. Let y = 33 - 35. Let s be i(y). Solve -g + s + 8*g**3 - 3 - 4*g**5 - 3*g = 0.
-1, 0, 1
Let g(w) = -w**3 + w**2 + w + 1. Let r(s) = -68 + 32 - 2*s**4 + 10*s**2 - 133*s**3 - 36*s - 48 + 149*s**3. Let z(m) = -12*g(m) - r(m). Factor z(y).
2*(y - 3)**2*(y + 2)**2
Let p(u) be the third derivative of -u**5/48 + 35*u**4/96 - 5*u**3/4 + u**2 - 82. Factor p(n).
-5*(n - 6)*(n - 1)/4
Let u(y) be the third derivative of -y**5/90 - 65*y**4/18 - 4225*y**3/9 + 2*y**2 - 271*y. What is z in u(z) = 0?
-65
Find c such that -93/4*c**2 - 23/2*c + 0 - 12*c**3 - 1/4*c**4 = 0.
-46, -1, 0
Determine b so that -4*b**5 + 5*b**5 - 3*b**5 - 3*b**4 - b**4 + 2*b**3 + 4*b**2 = 0.
-2, -1, 0, 1
Let q(k) be the first derivative of 4*k**5/35 + k**4/7 - 4*k**3/7 - 2*k**2/7 + 8*k/7 + 82. Solve q(a) = 0 for a.
-2, -1, 1
Let k = 15/29 - 61/174. Let c(y) be the first derivative of -5 - 1/3*y**6 + 0*y**2 + 0*y - 3/4*y**4 + k*y**3 + 9/10*y**5. Solve c(h) = 0 for h.
0, 1/4, 1
Let p = 12835/24 + -4277/8. Let p*a**3 + 1/3*a**2 - 1/6*a - 1/3 = 0. Calculate a.
-2, -1, 1
Let v = 1545 + -4633/3. Factor 0 - 1/6*k**3 + 2/3*k - 1/6*k**4 + v*k**2.
-k*(k - 2)*(k + 1)*(k + 2)/6
Let y(t) be the first derivative of -17*t**4/2 - 10*t**3 + 2*t**2 - 56. Factor y(i).
-2*i*(i + 1)*(17*i - 2)
Suppose 4*y + 372*g = 368*g, 4*y = -5*g. Factor 1/7*v**3 - 1/7*v + y + 0*v**2.
v*(v - 1)*(v + 1)/7
Let i = 14 - 14. Suppose u + 4*d - 14 = i, 2*u - 2*d - 2 = -