i**2 - 1/2 + 2*i**5 - 4*i**4 - 1/2*i = 0. What is i?
-1/2, 1
Let a(t) be the third derivative of 22*t**2 + 1/40*t**4 + 1/560*t**8 - 1/100*t**6 + 0*t**7 + 0*t + 0*t**3 + 0 + 0*t**5. Factor a(w).
3*w*(w - 1)**2*(w + 1)**2/5
Let i be 9/(-15) + 93*(-10)/825. Let u = i - -177/77. Solve 0 - 4/7*z**3 + 8/7*z**4 + 0*z - 8/7*z**2 + u*z**5 = 0 for z.
-2, -1, 0, 1
Let k(b) be the third derivative of -b**6/1620 - b**5/180 + b**4/27 + 5*b**3/3 + 11*b**2. Let o(n) be the first derivative of k(n). Suppose o(l) = 0. What is l?
-4, 1
Let x(m) = -340*m - 2378. Let v be x(-7). Suppose -6/7*g + 3/7 + 3/7*g**v = 0. What is g?
1
Let d(a) be the first derivative of -1/8*a**4 + 1/4*a - 1/20*a**5 + 1 + 1/4*a**2 + 0*a**3. Suppose d(q) = 0. Calculate q.
-1, 1
Let k(x) be the second derivative of -4/13*x**3 + 28*x + 1/78*x**4 + 0 + 36/13*x**2. Let k(r) = 0. Calculate r.
6
Factor -231125 - 23*o - 132*o + 2305*o - 2*o**2 - 3*o**2.
-5*(o - 215)**2
Factor -60*w + 9*w**2 - 3*w**4 + 0*w**4 + 219 + 18*w**3 - 183.
-3*(w - 6)*(w - 1)**2*(w + 2)
Let c(k) = 3*k - 19. Let j be c(12). Solve j*v**2 + 17*v**2 + 2*v - 32*v**2 = 0 for v.
-1, 0
Let d(i) be the third derivative of 0 + 0*i + 1/14*i**4 - 4/21*i**3 - 1/70*i**5 + 1/840*i**6 + 4*i**2. Solve d(l) = 0 for l.
2
Let q(w) = w**2 - 2*w - 36. Let r be q(7). Let a be 2 - 0/5 - r. Suppose -4/7*v**4 - 8/7*v**2 + 12/7*v**a + 0 + 0*v = 0. Calculate v.
0, 1, 2
Let r(b) be the third derivative of 750141*b**7/20 + 83349*b**6/10 + 3969*b**5/5 + 42*b**4 + 4*b**3/3 - 2*b**2 - 26*b. Determine u so that r(u) = 0.
-2/63
Let z(g) be the third derivative of 0*g**4 + 0*g - 19*g**2 + 0 + 0*g**3 + 0*g**5 - 1/120*g**6. Let z(f) = 0. Calculate f.
0
Let k = -756554/28371 + -2/9457. Let w = k + 82/3. Solve 2*f**2 + 8/3*f**3 + 0 - w*f = 0 for f.
-1, 0, 1/4
Let d(p) be the second derivative of -p**6/420 - 11*p**5/70 - 121*p**4/28 - 1331*p**3/21 - 8*p**2 + 10*p. Let l(j) be the first derivative of d(j). Factor l(y).
-2*(y + 11)**3/7
Let b(k) = -3*k + 27. Let y be b(8). Factor -16*u**4 - 11*u**2 + 4*u + 64*u**5 - 5*u - 28*u**3 - 8*u**y.
u*(u - 1)*(4*u + 1)**3
Let w(k) be the first derivative of 6 + 1/5*k**5 + 6*k**2 - 3*k + 14/3*k**3 + 5/3*k**4. Let f(y) be the first derivative of w(y). Suppose f(v) = 0. What is v?
-3, -1
Let v(c) be the first derivative of 1/5*c**2 + 4 + 1/5*c**3 + 1/10*c**4 + 1/50*c**5 + 5*c. Let l(a) be the first derivative of v(a). Factor l(d).
2*(d + 1)**3/5
Let g(s) be the first derivative of 2*s**5/55 + 3*s**4/11 + 10*s**3/33 + 48. Let g(z) = 0. Calculate z.
-5, -1, 0
Let g = -847 - -849. Let j(d) be the second derivative of 0 + d + 132/5*d**5 - 32/5*d**6 - 3*d**g - 27*d**4 + 25/2*d**3. Suppose j(u) = 0. Calculate u.
1/4, 2
Let h be ((-4)/10)/((-1)/5). Suppose 125 = -5*k - a + 138, -2*k + 4*a + 36 = 0. Let -1/4*u**k + 1/2*u**3 + 1/4 + 0*u**h - 1/2*u = 0. Calculate u.
-1, 1
Let h(t) be the first derivative of 0*t + 1/20*t**4 + 5 + 0*t**2 - 1/15*t**3. Factor h(g).
g**2*(g - 1)/5
Let o be (-10 - -13) + (-48)/18. Find z, given that -o*z**2 - 1/3 + 2/3*z = 0.
1
Suppose 8*q**2 + 4*q**5 + 0*q**4 + q**4 - 44*q**3 - 15*q**4 + 61*q - 8*q**4 + 14 - 21*q = 0. Calculate q.
-1, -1/2, 1, 7
Let y(t) be the third derivative of -1/400*t**6 + 0*t**4 + 0*t + 0*t**3 + 0 + 1/300*t**5 + 35*t**2 - 1/1050*t**7. Solve y(o) = 0.
-2, 0, 1/2
Let q(j) = -j**2 + j + 2. Let k(i) = 4*i**2 + i**2 - i - 4*i**2 + 1. Suppose r = -1, 5*r + 1 + 2 = p. Let t(m) = p*k(m) + q(m). Factor t(g).
-3*g*(g - 1)
Let m(r) be the first derivative of 0*r - 13 - 5/3*r**3 - 5/8*r**4 + 0*r**2. Determine i so that m(i) = 0.
-2, 0
Let p be (8/18)/(2952/(-135) + 22). What is j in -25/3*j**4 - 35/3*j**3 + 0 + 0*j - p*j**2 = 0?
-1, -2/5, 0
Let h(y) be the first derivative of 2/5*y**4 + 15 + 2/25*y**5 - 8/5*y + 2/5*y**3 - 4/5*y**2. Factor h(w).
2*(w - 1)*(w + 1)*(w + 2)**2/5
Let -296/7*f + 2/7*f**2 + 10952/7 = 0. What is f?
74
Let j = -1743/4 + 436. Let g(a) be the third derivative of 0 + 3/40*a**5 + 0*a - 5/24*a**4 + 9*a**2 + j*a**3 - 1/120*a**6. Factor g(n).
-(n - 3)*(n - 1)*(2*n - 1)/2
Let v(d) be the second derivative of 1/135*d**6 - 5*d - 1/9*d**2 + 2/27*d**3 + 0 - 1/45*d**5 + 0*d**4. Factor v(h).
2*(h - 1)**3*(h + 1)/9
Let m(h) be the third derivative of -h**7/105 + h**6/3 - 59*h**5/15 + 15*h**4 - 27*h**3 - 22*h**2. Factor m(q).
-2*(q - 9)**2*(q - 1)**2
Let j(o) be the third derivative of -1/36*o**4 + 0*o + 0 + 0*o**3 - 1/450*o**5 - 7*o**2. Let j(a) = 0. Calculate a.
-5, 0
Find u such that 608/7*u - 1/7*u**4 + 606/7*u**2 + 29 + 200/7*u**3 = 0.
-1, 203
Let r be (-2)/(-10) + (-484)/(-55). Suppose -6*k - a + r = -2*k, -a + 5 = 2*k. Find w such that k*w**3 + w**3 + 20 - 20 - 6*w - 3*w**2 = 0.
-1, 0, 2
Let w(a) be the second derivative of a**7/28 - a**6/10 - 18*a**5/5 + 65*a**4/4 + 175*a**3/4 - 3*a - 23. Solve w(g) = 0 for g.
-7, -1, 0, 5
Let p(u) be the third derivative of -u**9/3780 + u**8/1680 + u**7/630 - u**6/180 + 5*u**4/6 + 11*u**2. Let y(o) be the second derivative of p(o). Factor y(i).
-4*i*(i - 1)**2*(i + 1)
Let a(d) be the third derivative of -8*d**5/5 + 11*d**4/18 + 4*d**3/3 - 109*d**2. Solve a(q) = 0.
-2/9, 3/8
Let v(d) be the third derivative of -d**8/42 + 17*d**7/105 - 7*d**6/15 + 11*d**5/15 - 2*d**4/3 + d**3/3 - 166*d**2. Suppose v(b) = 0. Calculate b.
1/4, 1
Factor -2/11*q + 2/11*q**3 + 16/11 - 16/11*q**2.
2*(q - 8)*(q - 1)*(q + 1)/11
Let k be 297/(-132)*(-8)/12. Factor -3/2*q**2 - 3/2*q**3 + k + 3/2*q.
-3*(q - 1)*(q + 1)**2/2
Let m(f) be the third derivative of f**5/15 - 8*f**4/3 - 24*f**3 + 220*f**2. Find s such that m(s) = 0.
-2, 18
Let o(a) = a**2 - 5*a - 10. Let c(f) = -f**3 + 4*f**2 - 2. Let m be c(3). Let s be o(m). Factor -7*r**3 - 2*r**3 - 34*r + 37*r - 15*r**s + 3*r**2 - 6*r**5.
-3*r*(r + 1)**3*(2*r - 1)
Let d(z) = -80*z**4 - 310*z**3 + 733*z**2 - 420*z + 72. Let s(o) = -o**4 + o**3 - o**2. Let t(i) = -d(i) + 5*s(i). Factor t(w).
3*(w - 1)*(w + 6)*(5*w - 2)**2
Let x be (-1)/(-9 - (-220)/25). Let h(g) be the second derivative of 1/10*g**3 + 0 + 3/100*g**x - 1/10*g**4 - g + 0*g**2. Factor h(p).
3*p*(p - 1)**2/5
Suppose 5*v = 2*a + 50, 2*v + a - 4 - 7 = 0. Determine q so that 10*q - 3*q**3 - 11*q - 12*q**2 - v*q = 0.
-3, -1, 0
Let x(t) = 36*t**2 + 16*t - 36. Let l(d) = 7*d**2 + 3*d - 7. Suppose -9*w + 160 = w. Let p(o) = w*l(o) - 3*x(o). Factor p(u).
4*(u - 1)*(u + 1)
Let j(y) be the third derivative of -30*y**2 + 0*y + 32*y**3 - 2*y**4 + 0 + 1/20*y**5. Factor j(q).
3*(q - 8)**2
Let p = -673903/1612 - -5452/13. Let z = p - -1/372. Factor -21*h**3 + 31/3*h**2 + 28/3*h + z.
-(h - 1)*(7*h + 2)*(9*h + 2)/3
Let n = 73 + -67. Let z(f) = 14*f**2 - 20*f - 11. Let v(o) = 5*o**2 - 7*o - 4. Let d(k) = n*z(k) - 17*v(k). Suppose d(t) = 0. Calculate t.
-2, 1
Suppose 0 = 2*s + 2*b - 2, s + 2*s = -5*b + 1. Let y(v) = -v**2 - 5*v - 2. Let x be y(-4). Solve -s*f**4 + 5*f**x + 3*f**2 + 2*f**3 - f**2 - 5*f**2 - 2*f = 0.
-1, 0, 1
Suppose -40 - 148 - 2 = -95*v. Suppose 9/4*h + 0 - 3*h**v + 3/4*h**3 = 0. Calculate h.
0, 1, 3
Solve -166375 - 12*h**3 - 12*h**3 + 3810*h - 165*h**2 + 4687*h + 578*h + 25*h**3 = 0 for h.
55
Suppose -18*v**2 + 3/2*v**3 - 96 - 90*v = 0. Calculate v.
-2, 16
Suppose -2*s + 2*m = 2, -3*m = -16 + 1. Factor 6*j**s - 18 + 8*j + 5*j**3 + 3*j**3 + 24 - 28*j**2.
2*(j - 1)**2*(j + 3)*(3*j + 1)
Let o(l) be the first derivative of l**5/20 - l**4/16 - l**3/4 + 5*l**2/8 - l/2 - 76. Factor o(u).
(u - 1)**3*(u + 2)/4
Let i(r) be the third derivative of r**6/120 - r**5/120 - r**4/12 - r**3/3 + 3*r**2. Let c(d) be the first derivative of i(d). Factor c(p).
(p - 1)*(3*p + 2)
Determine i, given that 0 - 2/9*i**3 + 0*i - 4/9*i**2 = 0.
-2, 0
Let p(g) be the first derivative of -4/21*g**3 - 100/7*g + 20/7*g**2 - 1. Factor p(b).
-4*(b - 5)**2/7
Suppose -3*i - 177 = -5*t + 2*t, t - 39 = -4*i. Factor -5*r**3 - 80*r**2 - 15*r + t*r**2 + 3*r**4 - 3*r**4 + 5*r**4.
5*r*(r - 3)*(r + 1)**2
Let o(r) be the third derivative of -r**8/2352 + r**6/280 + r**5/210 + 70*r**2. Suppose o(k) = 0. Calculate k.
-1, 0, 2
Let v = -28 + 32. Factor -3*b**3 - 2*b**4 - 3*b**v + 15*b**2 - 7*b**3.
-5*b**2*(b - 1)*(b + 3)
Let r(q) be the third derivative of 0*q**4 + 0*q - 23*q**2 + 1/8*q**6 + 0 - 1/21*q**7 - 1/12*q**5 + 0*q**3. Factor r(c).
-5*c**2*(c - 1)*(2*c - 1)
Let i(u) be the second derivative of -2*u**4/9 + 5*u