2 - 12*j. Let s(y) = -2*k(y) - 3*l(y). Suppose s(v) = 0. What is v?
-5, 1
Suppose 0 + 3/8*j**4 + 15/2*j**2 - 27/8*j**3 + 0*j = 0. Calculate j.
0, 4, 5
Find i, given that 36/5*i**4 - 88/5*i**3 + 0 + 128/5*i + 0*i**2 - 4/5*i**5 = 0.
-1, 0, 2, 4
Let d(h) be the first derivative of -h**6/50 + 3*h**5/50 - h**3/5 + 3*h**2/10 - 43*h + 40. Let x(y) be the first derivative of d(y). Factor x(m).
-3*(m - 1)**3*(m + 1)/5
Let v(g) = -g - 1. Let a(n) be the first derivative of n**3/3 + n**2/2 + n + 9. Let y(o) = -a(o) - v(o). Solve y(r) = 0 for r.
0
Let y be (24 - 9) + (-3 - 5) - 2/6. Solve y*q**2 + 15 - 185/3*q = 0.
1/4, 9
Determine o so that 28/9*o + 20/9*o**2 - 8/3 = 0.
-2, 3/5
Let j(g) be the second derivative of -g**6/30 - 3*g**5/10 - 2*g**4/3 + g**3 + 9*g**2/2 - 79*g. Let j(t) = 0. What is t?
-3, -1, 1
Suppose 18 = 5*b + 8. Let -3*t**b + t + 3 - 3*t**3 - 4 - 2*t**4 - 2*t**3 + 2 = 0. What is t?
-1, 1/2
Let r be (3/15)/((-1)/(-5))*2. Find g, given that -g**4 + g**3 + 56*g**5 + 2*g**r - g**4 - 57*g**5 = 0.
-2, -1, 0, 1
Let o(t) be the third derivative of 0 + 1/200*t**6 + 0*t**4 - 1/350*t**7 + 0*t + 1/50*t**5 + 0*t**3 - 22*t**2. Factor o(c).
-3*c**2*(c - 2)*(c + 1)/5
Let z(c) be the third derivative of 0*c**4 - 2*c**2 + 0 + 1/300*c**5 + 0*c + 0*c**3. Factor z(n).
n**2/5
Factor 145*w + 3675 + 2*w**2 + 39*w + 26*w + w**2.
3*(w + 35)**2
Suppose 5*w - 3*w = 6. Let h = -289/6 + 176/3. Find i, given that 0 - 2*i - 6*i**2 + h*i**4 + 13/2*i**w = 0.
-1, -2/7, 0, 2/3
Let a(t) = 50*t - 342. Let x be a(7). Let i(s) be the first derivative of -2/9*s + 0*s**2 - x + 2/27*s**3. Suppose i(w) = 0. Calculate w.
-1, 1
Let r(v) = v**3 + 24*v**2 - 109*v + 84. Let p(j) = 12*j**2 - 54*j + 42. Let y(x) = -5*p(x) + 3*r(x). Solve y(w) = 0.
-7, 1, 2
Let w(f) = -51*f**3 - 2358*f**2 - 23040*f + 9591. Let v(d) = -13*d**3 - 590*d**2 - 5760*d + 2398. Let j(x) = -9*v(x) + 2*w(x). Factor j(b).
3*(b + 20)**2*(5*b - 2)
Solve -338*j + 10 + 334*j + 9*j**3 + 14 - 16*j**2 - 13*j**3 = 0.
-3, -2, 1
Let s = 409 - 49. Factor -156*b**2 - 33*b**4 - 16*b + 80*b**3 - 42*b**4 + 16 + s*b**4 + 115*b**4.
4*(2*b + 1)**2*(5*b - 2)**2
Let t be 5/(-10) - ((-19)/(-2) - -1). Let m(n) = 8*n**3 - 2*n**2 - 17*n + 11. Let o(g) = -3*g**3 + g**2 + 6*g - 4. Let i(r) = t*o(r) - 4*m(r). Solve i(u) = 0.
0, 1, 2
Let g(i) be the second derivative of -90*i**2 - 25/6*i**6 - 545/12*i**4 - 130*i**3 + 65/2*i**5 - 9*i + 0. Determine r so that g(r) = 0.
-2/5, 3
Find p such that -2/13*p**2 - 24/13*p - 22/13 = 0.
-11, -1
Let k(o) be the second derivative of 21*o**5/160 + 37*o**4/32 + 19*o**3/8 + 3*o**2/2 - 311*o. Factor k(f).
3*(f + 1)*(f + 4)*(7*f + 2)/8
Suppose -215*i + 74 + 63 = -293. Suppose -10/3*x - 20/3 + 5/6*x**3 + 5/3*x**i = 0. Calculate x.
-2, 2
Let l(q) be the second derivative of -q**4/4 - 5*q**3/2 - 9*q**2 + q + 5. Find y such that l(y) = 0.
-3, -2
Let r(t) be the second derivative of -5*t**7/42 + 5*t**6/2 - 41*t**5/2 + 165*t**4/2 - 1025*t**3/6 + 375*t**2/2 + 17*t - 2. Find u such that r(u) = 0.
1, 3, 5
Let a(c) be the second derivative of -c**4/8 - 3*c**3/2 + 21*c**2/4 - 37*c. Solve a(i) = 0 for i.
-7, 1
Let p(g) be the third derivative of 2*g**2 + 1/15*g**6 + 0 - 1/15*g**5 - 1/3*g**4 + 0*g**3 + 0*g + 2/105*g**7. Factor p(w).
4*w*(w - 1)*(w + 1)*(w + 2)
What is s in -290*s**2 + 1157*s - 4210*s - 1152*s - s**3 - 4*s**3 = 0?
-29, 0
Suppose 3*y = 4*b - b, -4*y + 12 = 2*b. Let l = 1649/7 + -235. Find j such that l*j**b - 1/7*j + 3/7*j**3 - 2/7 = 0.
-1, 2/3
Let c(p) be the third derivative of -p**8/2184 + p**7/1365 + p**6/130 - 2*p**5/195 - 2*p**4/39 - 4*p**2 + 7*p. Determine m so that c(m) = 0.
-2, -1, 0, 2
Let q(v) be the third derivative of -1/120*v**4 + 0*v + 11*v**2 + 0*v**3 - 1/300*v**5 + 0. Determine s so that q(s) = 0.
-1, 0
Suppose 45 = 18*f - 27. Suppose f = 3*d - b - 0*b, 2*d + 3*b - 10 = 0. Factor -2/17*x**5 + 6/17*x - 2/17 - 4/17*x**d - 4/17*x**3 + 6/17*x**4.
-2*(x - 1)**4*(x + 1)/17
Suppose 2*b - 5*p - 30 = -2*b, 2*b - 6 = -2*p. Suppose 3*g + 8 = 7*g. Solve 0 - 6/5*m**4 - 9/5*m**b - 3/5*m + 6/5*m**g + 12/5*m**3 = 0 for m.
-1, 0, 1/3, 1
Let b(y) be the first derivative of -3*y**4/4 + 221*y**3 - 18480*y**2 + 36300*y + 63. Suppose b(u) = 0. What is u?
1, 110
Let v(y) be the third derivative of 0*y**3 - 1/24*y**4 + 0 + 0*y - 1/120*y**5 + 8*y**2 + 1/240*y**6. Factor v(f).
f*(f - 2)*(f + 1)/2
Let z(n) be the third derivative of n**5/120 + 5*n**4/8 + 17*n**2 + 3. Factor z(j).
j*(j + 30)/2
Suppose 81*u - 56*u = 30*u - 20. Solve 0*b**2 - 2*b**3 + 0 + 0*b - 1/3*b**u = 0.
-6, 0
Let 15/2*q**2 - 5/2*q**3 + 10*q + 0 = 0. Calculate q.
-1, 0, 4
Suppose -4*c + 4*g = -0*g + 8, 0 = 2*c + 5*g - 10. Factor 38*x**4 + c + 4*x**2 + 8*x**3 + 0 - 34*x**4.
4*x**2*(x + 1)**2
Let m(d) be the third derivative of 0*d**6 + 1/35*d**5 + 0*d**4 + 0*d + 13*d**2 + 0 + 0*d**3 - 1/490*d**7. Suppose m(z) = 0. Calculate z.
-2, 0, 2
Let r(f) = f - 255 + 255. Let q(k) = k**3 + k**2 + 3*k - 1. Let y(b) = q(b) - 4*r(b). Suppose y(h) = 0. What is h?
-1, 1
Let h(j) = 2*j + 4. Let k be h(6). Let u be (-2)/(-5) + k/10. Factor -7*i**2 - i**u + 2 + 6*i**2.
-2*(i - 1)*(i + 1)
Let a(g) be the second derivative of -2*g**6/15 + 41*g**5/20 + 17*g**4/6 - 11*g**3/6 - 250*g. Factor a(c).
-c*(c - 11)*(c + 1)*(4*c - 1)
Let j be (2 + 1)/(6/(-4)) + 2. Suppose j = -6*r + 3*r. Find k such that r - 18*k**2 + 3/2*k**3 + 6*k**5 + 6*k + 18*k**4 = 0.
-2, 0, 1/2
Let d(s) be the first derivative of 0*s**4 - 1/6*s**3 + 4*s**2 + 4 + 1/60*s**5 + 0*s. Let p(q) be the second derivative of d(q). What is x in p(x) = 0?
-1, 1
Let z(m) = m**5 + 2*m**4 - 3*m**3 + 2*m - 2. Let c(j) = 2*j**5 + 2*j**4 - 4*j**3 + 3*j - 3. Let u(l) = -2*c(l) + 3*z(l). Factor u(g).
-g**3*(g - 1)**2
Let a(s) be the third derivative of 25/96*s**4 + 0*s + 11*s**2 - 5/8*s**3 + 0 + 1/24*s**5. Factor a(y).
5*(y + 3)*(2*y - 1)/4
Let f(h) be the first derivative of h**7/7 - 2*h**6/15 - h**5/10 + 8*h - 6. Let o(m) be the first derivative of f(m). What is y in o(y) = 0?
-1/3, 0, 1
Let t(q) be the second derivative of -2*q**6/105 + 3*q**5/35 - 2*q**4/21 + 15*q + 1. Let t(w) = 0. What is w?
0, 1, 2
Factor -2*z**4 + 7*z**3 + 4*z**3 + 4*z**3 + 20*z**2 - 20*z**3 - z**3.
-2*z**2*(z - 2)*(z + 5)
Let i(x) be the third derivative of -13*x**2 + 0*x + 1/15*x**5 + 0 + 0*x**4 + 0*x**3. Suppose i(a) = 0. What is a?
0
Let a(t) be the first derivative of 2*t**3/15 - 7*t**2/5 + 12*t/5 + 78. Solve a(g) = 0.
1, 6
Let n(z) be the second derivative of -z**4/48 - z**3/4 + 27*z**2/8 + 132*z - 2. Factor n(u).
-(u - 3)*(u + 9)/4
Let z(s) = s**3 - 5*s**2 - 3*s - 7. Let x be z(6). Suppose x*m - 6*m = 0. Suppose -2/7*a**5 + 4/7*a**4 - 2/7*a**3 + 0*a**2 + m*a + 0 = 0. What is a?
0, 1
Let r(a) be the first derivative of a**6/540 - a**5/30 + 5*a**4/36 + 29*a**3/3 - 24. Let t(l) be the third derivative of r(l). Solve t(g) = 0 for g.
1, 5
Let z(h) = 17*h**2 + 13*h + 13. Suppose 16 = 5*u - u, 5*m - 4*u - 39 = 0. Let j(g) = -6*g**2 - 4*g - 4. Let q(a) = m*j(a) + 4*z(a). Factor q(r).
2*(r + 2)**2
Suppose 14*o = 43*o - 23*o. Let r(l) be the second derivative of 1/6*l**4 + 0 + 0*l**2 + o*l**3 - 6*l. Factor r(f).
2*f**2
Let r be ((-30)/(-180))/(1 - (-15)/(-16)). Determine q, given that 14/3*q**5 - r*q**2 + 16/3*q**3 + 0 + 0*q + 38/3*q**4 = 0.
-2, -1, 0, 2/7
Let v(t) be the second derivative of -t**5/10 + 7*t**4/6 + 8*t**3/3 + 198*t. Suppose v(m) = 0. Calculate m.
-1, 0, 8
Let k(a) be the second derivative of a**7/168 + a**6/18 - 11*a**5/24 + 5*a**4/4 + 5*a**3 + 32*a. Let g(o) be the second derivative of k(o). Factor g(w).
5*(w - 1)**2*(w + 6)
Let a(v) be the third derivative of -v**8/1344 + v**7/504 - 31*v**4/24 + 31*v**2. Let p(u) be the second derivative of a(u). Factor p(k).
-5*k**2*(k - 1)
Factor -1734 + 103*l + 587*l + 92*l - 74*l**2 - 7*l**3 + 9*l**3.
2*(l - 17)**2*(l - 3)
Let t(o) be the first derivative of -o**4/24 + 11*o**3/6 - 121*o**2/4 + 11*o - 32. Let p(a) be the first derivative of t(a). Suppose p(r) = 0. What is r?
11
Suppose 5*i = 0, -2*i + 464 = -4*j - 3*i. Let a = j - -116. Solve 0*y**2 + 4/5*y**4 + 0*y**3 + 0*y + a = 0.
0
Suppose -4*h + 14 = 2. Let z = -7 + 32. Suppose z*q**3 - 8*q**2 + 4*q - 4*q**4 - 11*q**h - 6*q**2 = 0. Calculate q.
0, 1/2, 1, 2
Let t = 123 - 123. Let w(g) be the third derivative of 0*g + 1/84*g**4 + 1/420*g**5 + t - 5