1 + 44*g = 0.
5, 8
Suppose 2/9*g**4 + 8/3 + 2/9*g**3 - 26/9*g**2 - 2/9*g = 0. Calculate g.
-4, -1, 1, 3
Let k(c) be the second derivative of -1/4*c**2 - 5/8*c**3 - 7/48*c**4 + 0 - 10*c. Factor k(t).
-(t + 2)*(7*t + 1)/4
Factor -9/7 + 9/7*o**2 - 3/7*o + 3/7*o**3.
3*(o - 1)*(o + 1)*(o + 3)/7
Solve 0*k + 8/7*k**2 + 0 - 22/7*k**4 - 16/7*k**3 - 6/7*k**5 = 0 for k.
-2, 0, 1/3
Suppose 11/2*m - 12 + 3/4*m**3 + 73/4*m**2 = 0. Calculate m.
-24, -1, 2/3
Let l(p) = p**4 + p**3 - 7*p**2 - 3*p. Let m = 44 + -38. Let f(j) = -5*j**4 - 6*j**3 + 36*j**2 + 15*j. Let g(v) = m*f(v) + 33*l(v). Factor g(d).
3*d*(d - 3)*(d + 1)**2
Let k(t) be the first derivative of -34*t**3/45 - 2*t**2/15 - 107. Factor k(d).
-2*d*(17*d + 2)/15
Let n(s) be the first derivative of -3*s**5/20 + s**4/2 + 3*s**3/2 + s + 16. Let c(v) be the first derivative of n(v). Suppose c(m) = 0. What is m?
-1, 0, 3
Let p(d) be the first derivative of -d**4/40 + 13*d**3/30 + 21*d**2/4 + 171*d/10 + 379. Find b, given that p(b) = 0.
-3, 19
Let z(n) = 2 - 4 - n**2 - 4*n + 4*n. Let x(o) = o**2 + 1. Let l(t) = 10*x(t) + 5*z(t). Solve l(h) = 0 for h.
0
Determine p so that 6*p**3 - 5/4*p**4 + 2*p + 3/4 - 15/2*p**2 = 0.
-1/5, 1, 3
Let w(u) be the third derivative of -u**6/30 + 2*u**5/3 + 11*u**4/6 - 204*u**2. Factor w(m).
-4*m*(m - 11)*(m + 1)
Let d(i) be the second derivative of -i**4/8 - 78*i**3 - 18252*i**2 + 746*i. Let d(r) = 0. What is r?
-156
Let z(g) = -g**4 + 49*g**3 + 88*g**2 - 140*g + 4. Let v(u) = -48*u**3 - 90*u**2 + 141*u - 3. Let i(c) = 4*v(c) + 3*z(c). Solve i(a) = 0 for a.
-12, -4, 0, 1
Let o = 98 - 93. Let b(k) be the second derivative of 0*k**4 + 1/110*k**o - 4*k + 0*k**2 + 0 + 0*k**3. Find t such that b(t) = 0.
0
Let n(i) be the first derivative of -2*i**3/3 - 3*i**2 - 4*i - 47. Let n(z) = 0. Calculate z.
-2, -1
Let y be 32 - 35 - 117/(-33). What is p in 42/11 + 54/11*p**2 + y*p**3 + 90/11*p = 0?
-7, -1
Let m(h) be the first derivative of -4*h**3/3 - 808*h**2 - 163216*h - 734. Factor m(o).
-4*(o + 202)**2
Let f(w) be the first derivative of -w**6/5 + 11*w**5/20 - w**4/3 - w**3/6 - 5*w - 15. Let v(u) be the first derivative of f(u). Factor v(c).
-c*(c - 1)**2*(6*c + 1)
Let c(d) be the first derivative of 0*d**2 - 3 + 1/22*d**4 + 2/33*d**3 - 2/55*d**5 - 1/33*d**6 + 0*d. Let c(n) = 0. What is n?
-1, 0, 1
Suppose -2*y + 21 = v - 2*v, y + 3*v = -7. Suppose 1 = 3*u - y. Factor 3/4*a**u + 0*a + 0 - 3/4*a**2.
3*a**2*(a - 1)/4
Let q = -1005 + 525. Let z be ((-2)/(-5))/((-32)/q). Suppose -8/3*v - z*v**4 - 2/3 + 8*v**3 + 4/3*v**2 = 0. What is v?
-1/3, 1
Let l be (0 + 2)*2 + (10 - 8) + -3. Determine d so that -2*d**2 - 1/2*d**l - 5/2*d - 1 = 0.
-2, -1
Suppose 0 = -159*h + 163*h. Let y(w) be the third derivative of 3*w**2 + 0*w + 0*w**3 + 0 + h*w**5 - 1/100*w**6 - 1/525*w**7 + 0*w**4. Solve y(g) = 0.
-3, 0
Let z = -2241/13 - 284/39. Let f = z - -181. Solve f*v**3 + 2/3*v**2 - 4/3*v**5 + 0 + 0*v - 2/3*v**4 = 0 for v.
-1, -1/2, 0, 1
Let h(c) be the first derivative of 4*c**5/5 + 4*c**4 + 20*c**3/3 + 4*c**2 + 74. Let h(b) = 0. What is b?
-2, -1, 0
Let k(d) = 25*d**4 - 1588*d**3 + 24960*d**2 + 10244*d. Let m(z) = -100*z**4 + 6351*z**3 - 99840*z**2 - 40978*z. Let h(r) = -9*k(r) - 2*m(r). Factor h(n).
-5*n*(n - 32)**2*(5*n + 2)
Suppose 5/4*k**3 - 15/4 - 5/4*k + 15/4*k**2 = 0. Calculate k.
-3, -1, 1
Let h(f) = f**2 - 35*f + 41. Let z(q) = 2*q**2 - 52*q + 61. Let g(v) = 7*h(v) - 5*z(v). Find s such that g(s) = 0.
2, 3
Let h(k) = -k**3 - 2*k**2 + 30*k - 19. Let r be h(4). Suppose -3/5*u**4 + 18/5*u**3 + 9/5 + 42/5*u**2 + 33/5*u - 3/5*u**r = 0. Calculate u.
-1, 3
Find k, given that -19 + 37 + 4*k**2 - 6*k**2 - 12*k - 3 - k**2 = 0.
-5, 1
Factor 23/3 - 1/6*t**2 + 15/2*t.
-(t - 46)*(t + 1)/6
Let h(t) = -t**2 - 13*t + 21. Let q be h(-14). Let y be -1*(-1*3 - -1). Factor 2*c - 4*c + q*c**y + 3*c + 4*c - 2.
(c + 1)*(7*c - 2)
Suppose -10 - 8 = 2*d - 4*c, 21 = -d + 4*c. Find p, given that -3/7*p**2 - 9/7*p + 0 + 5/7*p**d - 1/7*p**4 = 0.
-1, 0, 3
Suppose -q = 5*z + 1 + 4, -q - 5 = 3*z. Let s(t) = 19*t**3 - 23*t - 11. Let v(p) = 48*p**3 - 57*p - 27. Let a(o) = q*v(o) + 12*s(o). Factor a(f).
-3*(f - 1)*(2*f + 1)**2
Factor 49*r**2 + 86*r**2 + 34 - 134*r**2 - 35*r.
(r - 34)*(r - 1)
Let s = -111701/13251 + 2/1893. Let o = s - -61/7. Factor -6/7*c - 2/7*c**3 + 6/7*c**2 + o.
-2*(c - 1)**3/7
Let h(x) be the third derivative of -2*x**7/35 - 11*x**6/30 - 4*x**5/5 - 2*x**4/3 + 37*x**2 + 2*x. Find i, given that h(i) = 0.
-2, -1, -2/3, 0
Let j(v) = 16*v - 402. Let c be j(26). Solve -2/3*w + 0 - 12*w**4 - 16/3*w**2 - c*w**3 = 0.
-1/2, -1/3, 0
Determine t so that 0 + t - 5/2*t**2 + 9/8*t**4 + 3/4*t**3 = 0.
-2, 0, 2/3
Let u(w) be the second derivative of w**8/3360 + w**7/315 - 7*w**6/360 - w**5/6 + w**4/4 - 56*w. Let z(n) be the third derivative of u(n). Factor z(f).
2*(f - 2)*(f + 1)*(f + 5)
Let s be -4 + (688/168)/1. Let f(q) be the first derivative of -6/7*q - 3 + s*q**3 - 2/7*q**2. Suppose f(h) = 0. What is h?
-1, 3
Let r(s) be the first derivative of s**6/18 + s**5/15 - s**4/12 - s**3/9 + 252. Factor r(d).
d**2*(d - 1)*(d + 1)**2/3
Suppose 3*h - 425 + 397 = -2*o, -o = -3*h - 5. Let u = 14 - 10. Find q, given that u*q**h + 8/7*q + 0 + 12/7*q**4 + 32/7*q**3 = 0.
-1, -2/3, 0
Let q(n) be the third derivative of n**6/20 - 9*n**5/4 + 17*n**4 - 57*n**3/2 + 457*n**2 + n. Let q(x) = 0. Calculate x.
1/2, 3, 19
Solve -3/2*u + 0 - 1/2*u**2 = 0.
-3, 0
Let k be (-454)/(-1362) + 2/12. Let p = 3 - 1. Find z, given that -1/3*z**3 - k*z**5 - 1/2 - 11/6*z**4 + 7/3*z**p + 5/6*z = 0.
-3, -1, 1/3, 1
Let f be ((-9)/(-5))/(51/340). Solve 60 + 2*p**2 + 2*p**4 - 52 - f*p**2 = 0 for p.
-2, -1, 1, 2
Suppose 367 - 397 = -10*l. Let g = -185 - -260. Suppose -45/2*j**4 - 10 + g*j**l - 185/2*j**2 + 50*j = 0. Calculate j.
2/3, 1
Let a(g) be the third derivative of g**5/100 + g**4/40 - 2*g**2 - 10. Let a(k) = 0. Calculate k.
-1, 0
Let j = 107/40 + -8/3. Let z(h) be the third derivative of -j*h**4 + 1/100*h**5 + 1/600*h**6 - 1/10*h**3 + 0 + 7*h**2 + 0*h. Find o such that z(o) = 0.
-3, -1, 1
Let s(v) be the second derivative of -v**5/40 + 17*v**4/24 - 16*v**3/3 + 12*v**2 - 24*v - 14. Find u, given that s(u) = 0.
1, 4, 12
Let o(z) = -z**3 + 4*z**2 - 3. Let y = -19 - -22. Let l(t) = 3*t**3 - 8*t**2 + 7. Let u(n) = y*l(n) + 7*o(n). Factor u(g).
2*g**2*(g + 2)
Factor 28/13*r**4 + 68/13*r**2 - 2/13*r**5 - 72/13*r**3 - 22/13*r + 0.
-2*r*(r - 11)*(r - 1)**3/13
Suppose 0 = -12*f - f - 2 + 2. Suppose 3/4*c**3 + 0*c - 1/4*c**2 + f = 0. Calculate c.
0, 1/3
Let z(t) = t**3 - 6*t**2 + t - 12. Let b be z(7). Let d be ((-62)/(-155))/(2 + b/(-25)). Suppose -1/3*g**2 - d*g - 4/3 = 0. Calculate g.
-4, -1
Factor 10/3*f - 1/3*f**2 - 16/3.
-(f - 8)*(f - 2)/3
Let k(l) be the second derivative of 8*l**2 + 2*l**3 + 15*l - 1/3*l**4 + 0. Factor k(f).
-4*(f - 4)*(f + 1)
Let i(g) be the third derivative of -g**8/336 - g**7/210 + g**6/40 + g**5/12 + g**4/12 - 2*g**2 + 1. Factor i(s).
-s*(s - 2)*(s + 1)**3
Factor -4*o - 255 - 4*o**3 + 168*o**2 + 87 - 15*o + 23*o.
-4*(o - 42)*(o - 1)*(o + 1)
Let c = -733/7 + 105. Let j = 325 + -325. Factor -c*t + 2/7*t**2 + j.
2*t*(t - 1)/7
Let k be -4*(2 + (-1)/1). Let i(f) = f**2 + 5*f + 4. Let n be i(k). Factor n*w**2 + 1/4*w**4 + 1/2*w**3 - 1/4 - 1/2*w.
(w - 1)*(w + 1)**3/4
Let d(x) be the second derivative of -x**5/105 + x**4/21 + 2*x**3/7 - 2*x**2 - x. Let k(b) be the first derivative of d(b). Factor k(i).
-4*(i - 3)*(i + 1)/7
Let w(a) be the third derivative of -a**7/5040 + a**6/270 - a**5/144 + 19*a**4/24 + 11*a**2. Let n(r) be the second derivative of w(r). Factor n(m).
-(m - 5)*(3*m - 1)/6
Let h = 1/10718 - -22497075/75026. Let o = h - 299. Solve 0 + 0*a + 0*a**2 + 10/7*a**4 + o*a**5 + 4/7*a**3 = 0 for a.
-1, -2/3, 0
Let h(y) be the third derivative of 0 + 0*y - 1/90*y**5 - 1/1080*y**6 + 0*y**3 - 1/24*y**4 - 27*y**2. Factor h(a).
-a*(a + 3)**2/9
Let w = -1108/15 - -74. Let x(n) be the first derivative of -4 + 0*n - w*n**3 + 3/5*n**2. Solve x(h) = 0 for h.
0, 3
Let u(o) be the second derivative of o**7/14 + 2*o**6/5 - 5*o**4/2 - o**3/2 + 9*o**2 + 67*o. Find a such that u(a) = 0.
-3, -2, -1, 1
Let v(c) be the third derivative of 0 + 0*c**5 + 1/525*c**7 + 0*c - 1/15*c**3 + 1/30*c**4 - 1/150*c**6 + 4*c**2. Factor v(l).
2*(l - 1)**3*(l + 1)/5
Find u such t