n that g*p - 29*p + p**2 - 11 + 8 = 0.
-3, 1
Let m(o) be the third derivative of -o**7/140 + 3*o**5/40 + o**4/8 - 72*o**2. Find u such that m(u) = 0.
-1, 0, 2
Let y be (1/3)/(11/165). Suppose 0 = -2*z - y + 11. Solve z + 1/3*j**4 - 4*j - 2/3*j**2 + 4/3*j**3 = 0.
-3, 1
Let t(c) be the third derivative of -c**6/24 + c**5/4 + 5*c**4 + 70*c**3/3 - 198*c**2. Determine i, given that t(i) = 0.
-2, 7
Solve 23*z**4 + 0 + 15/2*z**5 - 2*z**2 + 31/2*z**3 - 2*z = 0.
-2, -1, -2/5, 0, 1/3
Let n(i) be the first derivative of -i**5/2 + 95*i**4/8 + 55*i**3 + 5*i**2 - 220*i + 366. Find q, given that n(q) = 0.
-2, 1, 22
Let w(v) be the third derivative of -v**7/1260 - v**6/180 + 3*v**4/8 - 6*v**2. Let h(q) be the second derivative of w(q). Let h(t) = 0. What is t?
-2, 0
Let a(t) = 3*t - 3. Let i be a(3). Suppose 12 - 24*l - 2*l**2 + i*l**2 + 8*l = 0. What is l?
1, 3
Let w(j) be the first derivative of j**7/2100 - j**6/150 - j**5/20 - 2*j**4/15 - 22*j**3/3 + 5. Let t(m) be the third derivative of w(m). Factor t(i).
2*(i - 8)*(i + 1)**2/5
What is f in -2/7*f**2 + 33/7*f + 1/7*f**5 - 15/7*f**4 - 34/7*f**3 + 17/7 = 0?
-1, 1, 17
Suppose 42 = 2*n - 4*w, -2*n - 30 = -3*n + 5*w. Let q = -13 + n. Factor -q*a + 4/9 - 22/9*a**2.
-2*(a + 1)*(11*a - 2)/9
Let u = 19065 + -152481/8. Factor -3/4 - u*n + 45/8*n**2.
3*(n - 1)*(15*n + 2)/8
Let a(j) = 4*j - 30. Let l(q) = q**2 - 8. Let g be l(-4). Let o be a(g). Factor -1/4 - 1/2*n - 1/4*n**o.
-(n + 1)**2/4
Let k(f) be the third derivative of 0 + 0*f**4 + 0*f**3 + 0*f - 1/30*f**5 - 30*f**2. Factor k(t).
-2*t**2
Let b = 415/63 - 43/7. Let c = -6 + 9. Factor -2/3*u**c - 4/9 + 2/3*u + b*u**2.
-2*(u - 1)*(u + 1)*(3*u - 2)/9
Let q(c) be the first derivative of 0*c + 0*c**3 - 2/25*c**5 - 1/20*c**4 + 0*c**2 - 1/30*c**6 - 9. Factor q(p).
-p**3*(p + 1)**2/5
Suppose 477 = -485*z + 1447. Suppose 0 - o - 1/2*o**z + o**3 + 1/2*o**4 = 0. What is o?
-2, -1, 0, 1
Suppose -5*y + 6*y + 3 = 0. Let l be 2/y*(-4)/8. Factor -l*u**2 - 4/3*u - 1.
-(u + 1)*(u + 3)/3
Let c(h) = h**2 + h + 2. Let f be c(0). Determine m so that -18*m**4 + 11*m**2 - 15*m**3 + f*m**4 - 16*m + 41*m**2 + 67*m**3 = 0.
-1, 0, 1/4, 4
Let b = -73 - -79. Factor 15*m + 24*m**2 + 4*m + b*m**4 + 2 - 7*m + 20*m**3.
2*(m + 1)**3*(3*m + 1)
Let w(h) be the third derivative of h**8/141120 + h**7/17640 + h**6/5040 + 13*h**5/60 - 18*h**2. Let z(b) be the third derivative of w(b). Factor z(y).
(y + 1)**2/7
Let n(z) be the first derivative of -z**8/4200 + z**7/420 + z**6/900 - z**5/60 + 10*z**3/3 + 16. Let y(c) be the third derivative of n(c). Factor y(s).
-2*s*(s - 5)*(s - 1)*(s + 1)/5
Let w(a) be the second derivative of a**7/336 + a**6/240 - 7*a**5/160 - a**4/96 + a**3/8 + 44*a + 1. Suppose w(q) = 0. What is q?
-3, -1, 0, 1, 2
Let i(w) be the first derivative of 5*w**3/3 + 5*w**2 - 120*w - 220. Factor i(r).
5*(r - 4)*(r + 6)
Let h(t) be the first derivative of t**6/27 + 4*t**5/15 + t**4/2 + 8*t**3/27 + 42. What is z in h(z) = 0?
-4, -1, 0
Let x(f) be the second derivative of -f**6/360 - f**5/480 + f**4/32 - 19*f**3/6 + 5*f. Let j(s) be the second derivative of x(s). Factor j(z).
-(z + 1)*(4*z - 3)/4
What is s in -2*s**2 - 26*s + 4/3*s**3 + 40/3 = 0?
-4, 1/2, 5
Let f(g) be the second derivative of -1/42*g**7 + 0*g**2 - 21*g - 1/20*g**5 + 0*g**4 + 0 + 1/15*g**6 + 0*g**3. Find x, given that f(x) = 0.
0, 1
Let g(m) be the second derivative of 1/5*m**5 + 2/3*m**4 + 0 + 0*m**2 - 19*m + 8/9*m**3 + 1/45*m**6. Factor g(z).
2*z*(z + 2)**3/3
Factor 0 - 1/4*n**4 - 9/4*n**2 + 0*n + 5/2*n**3.
-n**2*(n - 9)*(n - 1)/4
Suppose -10*x - 14*x + 5*x + 38 = 0. Let -32/19*t**x + 34/19*t**3 + 0 + 8/19*t - 10/19*t**4 = 0. Calculate t.
0, 2/5, 1, 2
Factor 21*g + 1/2*g**2 + 0.
g*(g + 42)/2
Let o(g) be the second derivative of g**5/5 - 8*g**4/3 + 32*g**3/3 + g. Solve o(v) = 0.
0, 4
Let r(l) = -l**3. Let z(j) be the second derivative of -35*j**4/12 - 5*j**3/3 + 5*j**2/2 + 22*j. Let s(t) = 20*r(t) + z(t). Suppose s(k) = 0. Calculate k.
-1, 1/4
Let y be 3/((-78)/4) - 49/((-19110)/1620). Factor 15/2*b**3 - 15/2*b**2 + 5/2*b - 5/2*b**y + 0.
-5*b*(b - 1)**3/2
Let k(d) be the second derivative of 1/20*d**4 - 13*d + 0*d**3 + 0*d**2 + 0. Factor k(l).
3*l**2/5
Suppose -14 = -5*j + 16. Suppose -j*v = -9*v - 0*v. Suppose 0 + 1/5*o**5 + v*o**2 + 0*o + 3/5*o**4 + 2/5*o**3 = 0. Calculate o.
-2, -1, 0
Determine q so that -2/11*q**5 + 28/11*q**2 + 0 - 10/11*q**3 + 0*q - 16/11*q**4 = 0.
-7, -2, 0, 1
Let j(t) = 13*t**3 - 6 + 3 - 9*t**2 - 7*t - 3*t**2. Let w(a) = -40*a**3 + 36*a**2 + 20*a + 8. Let u(v) = -8*j(v) - 3*w(v). Factor u(n).
4*n*(n - 1)*(4*n + 1)
Factor 114/7*d + 3/7*d**2 + 1083/7.
3*(d + 19)**2/7
Let r(w) = -143*w - 427. Let o be r(-3). Factor 0*y**o + 1/4*y**3 - 1/4*y + 0.
y*(y - 1)*(y + 1)/4
Let p = 32/85 + -3/17. Let y = 436/1115 - -2/223. Factor y*z**2 + 0 - 1/5*z**3 - p*z.
-z*(z - 1)**2/5
Let a be 1 + -8 + (-2 + 8 - (-26)/26). Find x, given that a*x + 0 - 3/2*x**2 + 3/2*x**3 = 0.
0, 1
Let a(s) = -20*s**3 - 36*s**2 - 34*s + 26. Let k be 1*((-32)/4)/4. Let f(h) = -h**3 - h + 1. Let z(d) = k*a(d) + 20*f(d). Factor z(u).
4*(u + 2)**2*(5*u - 2)
Let i(f) = f**3 + 8*f**2 + 5*f - 1. Let z be i(-7). Suppose 24*g**3 - 8*g**3 + 8*g - g**4 + 16*g**3 + 28*g**2 + z*g**4 = 0. Calculate g.
-1, -2/3, 0
Let l = -821 - -821. Let l*y - 2/15 + 2/15*y**2 = 0. Calculate y.
-1, 1
Let g(d) be the third derivative of d**6/600 + d**5/25 + 2*d**4/5 + d**3/2 + 13*d**2. Let b(m) be the first derivative of g(m). Factor b(a).
3*(a + 4)**2/5
Let c(f) be the second derivative of -15*f**6/56 - 3*f**5/14 - f**4/14 + 5*f**3/6 + 12*f. Let j(d) be the second derivative of c(d). Factor j(v).
-3*(15*v + 2)**2/7
Let k(j) be the second derivative of -1/4*j**5 + 0*j**4 + 5/6*j**3 - 8 + 0*j**2 - 2*j. Determine c so that k(c) = 0.
-1, 0, 1
Let h = -38068 + 268210/7. Factor 6/7*f**2 + h + 204/7*f.
6*(f + 17)**2/7
Let b = 759/2509 + 1/193. Let l = 2875/13 + -221. Let -l*p**2 + b*p - 2/13 = 0. Calculate p.
1
Let y(t) be the first derivative of -5*t**3 - 125*t**2/2 - 40*t - 224. Factor y(a).
-5*(a + 8)*(3*a + 1)
Let n(w) be the third derivative of w**7/35 - w**6/15 - 14*w**5/9 + 16*w**4/3 - 64*w**3/9 - 26*w**2 - 2*w. Solve n(b) = 0.
-4, 2/3, 4
Let b(s) be the third derivative of 5*s**8/1512 + 2*s**7/105 - s**6/180 - 16*s**5/135 + s**4/9 - 33*s**2 + 2. Find y such that b(y) = 0.
-3, -2, 0, 2/5, 1
Let x(g) be the second derivative of g**5/90 + 5*g**4/54 + 7*g**3/27 + g**2/3 + g - 33. Factor x(i).
2*(i + 1)**2*(i + 3)/9
Let i(h) be the first derivative of 0*h**2 + 0*h**3 + 17 + 0*h**4 + 2/15*h**6 + 0*h - 12/25*h**5. Factor i(w).
4*w**4*(w - 3)/5
Let q(g) = -19*g**4 + 57*g**3 - g**2 - 30*g + 11. Let w(k) = 10*k**4 - 30*k**3 + 15*k - 5. Let o(d) = 5*q(d) + 9*w(d). Factor o(y).
-5*(y - 2)*(y - 1)**2*(y + 1)
Let o(f) be the first derivative of 1/16*f**4 + 7/12*f**3 + 15/8*f**2 - 14 + 9/4*f. Suppose o(n) = 0. What is n?
-3, -1
Let -2200/7*o**2 + 30000/7 - 37/7*o**4 - 1/7*o**5 - 480/7*o**3 + 2000/7*o = 0. Calculate o.
-10, 3
Let t(l) = l**4 + 8*l**3 - 15*l**2 + 2*l - 4. Let a = 31 + -30. Let m(k) = k**4 - k**3 - k - 1. Let z(x) = a*t(x) - 4*m(x). Let z(u) = 0. Calculate u.
0, 1, 2
Factor -2/3*o**2 - 6*o + 44/3.
-2*(o - 2)*(o + 11)/3
Let m(v) be the first derivative of -v**5 + 5*v**3/3 + 331. Solve m(g) = 0 for g.
-1, 0, 1
Let y(s) be the second derivative of 1/10*s**5 + 2/3*s**4 - 1/3*s**3 - 25*s - 4*s**2 + 0. Find i such that y(i) = 0.
-4, -1, 1
Let c be 17/(-357) + 3/63. Factor -2/5*t**2 + c - 2/5*t.
-2*t*(t + 1)/5
Let q(o) be the third derivative of -o**6/72 + 7*o**5/36 - 11*o**2. Find j, given that q(j) = 0.
0, 7
Let r(t) be the third derivative of 0*t + 0*t**4 - 1/1176*t**8 - 1/140*t**6 - 1/210*t**5 - 1/245*t**7 + 0*t**3 + 0 + t**2. Suppose r(j) = 0. What is j?
-1, 0
Let m be (3/(-14))/((3/48)/(19/(-114))). Let 0*p**2 + 16/7*p + m*p**4 - 12/7*p**3 + 0 = 0. Calculate p.
-1, 0, 2
Suppose -54*d + 28 = -50*d. Let x(l) = -l**3 + 9*l**2 - 14*l + 4. Let c be x(d). Let 5/2*p**3 + p**c + 2*p**2 + 0 + 1/2*p = 0. What is p?
-1, -1/2, 0
Let r(n) be the first derivative of -n**4/4 - 2*n**3 - 5*n**2/2 - 50. Let r(x) = 0. Calculate x.
-5, -1, 0
What is y in 14*y + 21*y + 6*y**2 + 0*y - 11*y**2 = 0?
0, 7
Let j(n) be the third derivative of -n**8/672 - n**7/10 - 33*n**6/20 + 121*n**5/15 - 2