*3 + 0*v**g + 0 - 3*v - 1/12*v**4. Factor o(b).
-b*(b + 1)
Let j(u) be the first derivative of -u**3 - 3/2*u**2 + 0*u + 34. Factor j(c).
-3*c*(c + 1)
Let j(h) = h**2 - 22*h - 38. Let d(r) = -r**2 + 10*r + 18. Let n(k) = 5*d(k) + 3*j(k). Factor n(v).
-2*(v + 2)*(v + 6)
Let z = 40 + -37. Let -8*s + 0*s + 16*s**2 + 10*s**3 + 0*s**z = 0. What is s?
-2, 0, 2/5
Let o be 26/8*(17 + -15). Suppose -4*n = 4*z - 2*n - 18, z + 2*n = 0. Factor -o*j**2 - 1/2*j**4 - 2 + 3*j**3 + z*j.
-(j - 2)**2*(j - 1)**2/2
Suppose -49*f + 50*f - 12 = 0. Let z(q) be the first derivative of 1 - f*q**2 - 7/3*q**6 - 8*q - 18/5*q**5 + 19/2*q**4 + 26/3*q**3. Find h, given that z(h) = 0.
-2, -1, -2/7, 1
Let m(s) = -s**3 - 4*s**2 - 8*s - 10. Let y be m(-3). Suppose y*n - 27 + 27 = 0. Factor 0*x + 1/6*x**3 + 1/6*x**2 + n.
x**2*(x + 1)/6
Let p(n) = 3*n**2 + 126*n + 117. Let d(o) = -3*o**2 - 125*o - 117. Let b(x) = 6*d(x) + 5*p(x). Determine r so that b(r) = 0.
-39, -1
Let t(s) be the first derivative of s**4/36 + 7*s**3/27 - s**2 - 38. What is q in t(q) = 0?
-9, 0, 2
Factor 0 + 1/5*d**2 + 2*d.
d*(d + 10)/5
Let m(g) be the third derivative of g**7/560 - 3*g**6/160 - g**5/40 + 3*g**4/8 + 325*g**2. Factor m(s).
3*s*(s - 6)*(s - 2)*(s + 2)/8
Let g(l) be the first derivative of 2*l**7/105 - l**6/30 + 3*l**2/2 + 13. Let p(y) be the second derivative of g(y). Let p(r) = 0. What is r?
0, 1
Let l(s) = 2*s**2 + 2. Let v(m) = -15*m**2 - 220*m + 55. Let t(b) = 5*l(b) - v(b). Factor t(q).
5*(q + 9)*(5*q - 1)
Suppose -222428*k**3 - 60*k**2 + 3*k**4 + 5*k**4 + 222312*k**3 = 0. What is k?
-1/2, 0, 15
Let d be (-2)/7 - (-192)/84. What is o in -102*o + 4 + 213*o + 2*o**d - 105*o = 0?
-2, -1
Determine t so that 9*t - 1/6*t**2 + 55/6 = 0.
-1, 55
Let i(q) be the third derivative of 0*q**3 + 7*q**2 + 1/105*q**6 + 0*q + 1/105*q**5 + 0*q**4 + 0 + 2/735*q**7. Find b such that i(b) = 0.
-1, 0
Let d = 28 + -24. Find a such that 10*a**4 + 6*a**4 - 24*a**4 - d*a**5 = 0.
-2, 0
Let s(w) = w**3 + 2*w**2 - w - 2. Let j(a) = 2*a**3 + 24*a**2 - 42*a - 64. Let k(u) = -j(u) - 3*s(u). Solve k(x) = 0 for x.
-7, -1, 2
Let h(r) be the second derivative of -r**7/1512 - r**6/432 + 17*r**4/12 - r**2 - 44*r. Let j(o) be the third derivative of h(o). Factor j(a).
-5*a*(a + 1)/3
Let i(w) be the third derivative of 0*w**4 - 1/540*w**6 + 0*w + 0*w**3 + 1/270*w**5 - 31*w**2 + 0. Suppose i(y) = 0. Calculate y.
0, 1
Let q(u) be the third derivative of -u**6/300 + u**5/50 + u**4/15 - 6*u**2 - u. Let q(i) = 0. What is i?
-1, 0, 4
Let f be 520/168*(-35)/(-25). Factor f*v - 14/3 + 1/3*v**2.
(v - 1)*(v + 14)/3
Let k = 411823/2 - 444357297/2158. Let u = 2/83 - k. Solve -18/13*j - 44/13*j**3 + 0 + 48/13*j**2 - u*j**5 + 16/13*j**4 = 0 for j.
0, 1, 3
Let l be 0 - (9710/15)/((-20)/6). Let j = -193 + l. What is u in -6/5*u + 3/5 + j*u**3 - 3/5*u**4 + 0*u**2 = 0?
-1, 1
Suppose -2*m + 4*c = -6, -2*c = 3*m + c - 9. Factor -m*y - 12 - y**2 - 9*y - 2*y**2.
-3*(y + 2)**2
Let g be (-2)/(-30)*12*30/(-4). Let m be 2/g*(8 + -9). Determine f, given that 0*f + 0 + m*f**4 - f**3 + 2/3*f**2 = 0.
0, 1, 2
Let i(t) be the first derivative of t**3/18 - 77*t**2/6 + 5929*t/6 - 237. Factor i(x).
(x - 77)**2/6
Suppose 3*x - 2*x - 1 = 0. Suppose -8*d + 17 - x + d**2 + 0*d = 0. Calculate d.
4
Factor 38*t**3 - 23*t**2 + 21*t**3 - 73*t**3 - 26*t**2 - t**4.
-t**2*(t + 7)**2
Suppose -3*s + 3*v - 4 = -v, 0 = 2*v - 2. Let h(y) be the third derivative of 0 - 4/9*y**3 + 1/30*y**5 - 1/180*y**6 - 2*y**2 + s*y**4 + 0*y. Factor h(w).
-2*(w - 2)**2*(w + 1)/3
Let s(j) = -j**3 + 10*j**2 - 13*j - 11. Let w be s(9). Let m = 143/3 + w. Factor 4/3*b**3 + m*b + 5/3*b**2 + 1/3*b**4 + 0.
b*(b + 1)**2*(b + 2)/3
Solve -25 - 7 - t**2 - 4 + 20*t + 0 = 0.
2, 18
Let o be 144/(20 + -2) + 1*(1 - 5). Let -3/5*x**o + 0*x + 0*x**3 + 0 + 3/5*x**2 = 0. Calculate x.
-1, 0, 1
Let o(c) be the second derivative of c**5/80 - c**4/16 - 5*c**2/2 + 8*c. Let w(s) be the first derivative of o(s). Factor w(v).
3*v*(v - 2)/4
Let d(b) = -b + 10. Let v be d(8). Suppose -z + t + 8 = 0, 4*z = -2*t - v*t + 64. Factor -12 - y**2 + z.
-y**2
Let l(y) = -9*y**2 + 13*y. Let s(u) = 8*u**2 - 10*u. Let d(a) = -4*l(a) - 6*s(a). Factor d(h).
-4*h*(3*h - 2)
Let p(v) be the second derivative of -3*v**7/112 - v**6/60 + v**5/5 + 5*v**4/16 - 7*v**3/48 - 5*v**2/8 + 92*v. Find h, given that p(h) = 0.
-1, 5/9, 2
Let g = -90 + 282. Let 256*z**2 + 6 - 3 + 10 + 23 + g*z = 0. Calculate z.
-3/8
Suppose -8 - 182 = -2*k. Determine u so that 112*u + 105*u - 267*u - 40 + k*u - 5*u**2 = 0.
1, 8
Let s = 241 + -147. Let h = 94 - s. Factor -2/3*l**4 + 2/3*l**2 + 2/3*l**3 + h*l + 0 - 2/3*l**5.
-2*l**2*(l - 1)*(l + 1)**2/3
Let o(m) be the first derivative of -1/78*m**4 + 0*m**2 - 4/3*m**3 + 0*m - 1 + 1/2340*m**6 + 1/780*m**5. Let w(g) be the third derivative of o(g). Factor w(d).
2*(d - 1)*(d + 2)/13
Let f(v) be the second derivative of v**7/105 + v**6/15 + 4*v**5/25 + 2*v**4/15 + 158*v. Determine t, given that f(t) = 0.
-2, -1, 0
Factor -8*f - 4*f**2 - 14 + 0 + 10.
-4*(f + 1)**2
Let q be -226 + 220 - (-1 - 1 - (-87)/(-6)). What is c in 147/4 + 3/4*c**2 - q*c = 0?
7
Let d = -6107 - -6107. What is n in 0 + 3/4*n**3 + 1/4*n**2 + d*n + 1/4*n**5 + 3/4*n**4 = 0?
-1, 0
Determine o, given that 9*o - 4*o - 21*o + 4*o**3 + 54 + 74 - 32*o**2 = 0.
-2, 2, 8
Let v(c) be the third derivative of c**7/840 + c**6/90 + 17*c**3/3 + 7*c**2. Let w(m) be the first derivative of v(m). Find z such that w(z) = 0.
-4, 0
Suppose -2*l = 1 - 5. Find x, given that -x - l*x + 2*x**3 + x = 0.
-1, 0, 1
Suppose 1458*g + 57 = 1477*g. Let 0 + 1/2*h**4 - g*h**3 + 9/2*h**2 - 2*h = 0. What is h?
0, 1, 4
Let n(r) be the first derivative of -1/6*r + 9 - 1/2*r**3 + 1/2*r**2 + 1/6*r**4. Factor n(l).
(l - 1)**2*(4*l - 1)/6
Let b be 17 - (30 - -4 - 19). What is k in 2/11*k**4 + 40/11*k - 36/11*k**b - 14/11 + 8/11*k**3 = 0?
-7, 1
Let n(w) = 5*w**3 + 3*w**2 + 4*w + 4. Let j = -49 - -53. Let y(q) = 9*q**3 + 5*q**2 + 7*q + 7. Let x(i) = j*y(i) - 7*n(i). Factor x(p).
p**2*(p - 1)
Let a = -1545/13 + 119. Factor -8/13 - a*l**3 - 16/13*l - 10/13*l**2.
-2*(l + 1)*(l + 2)**2/13
Let m = -54176/323 - -3198/19. Factor -2/17*l**3 + m*l**2 + 14/17 + 26/17*l.
-2*(l - 7)*(l + 1)**2/17
Let s(b) = 2*b**2 - 2*b + 1. Let c(y) = 2*y**3 - 24*y**2 + 108*y + 42. Let n(z) = 2*c(z) + 44*s(z). Factor n(t).
4*(t + 2)*(t + 4)**2
Factor 192*y + 0 + 2/3*y**4 - 44/3*y**3 + 64*y**2.
2*y*(y - 12)**2*(y + 2)/3
Let 12/7 - 6/7*n**2 - 1/7*n**3 - 5/7*n = 0. What is n?
-4, -3, 1
Let o = 2/18461 + 295366/92305. Factor -o*d**3 + 48/5*d**2 + 32/5 - 64/5*d + 2/5*d**4.
2*(d - 2)**4/5
Let v = 223 - 221. Suppose 0 = -5*o + v*o. Determine q so that 0 - 2/3*q**3 - 2/3*q**4 + 0*q + o*q**2 = 0.
-1, 0
Let q(g) be the third derivative of -g**7/105 + 7*g**6/60 + 13*g**5/10 + 53*g**4/12 + 22*g**3/3 - 421*g**2. Let q(f) = 0. What is f?
-2, -1, 11
Suppose 0 + 284/9*h**2 - 10/9*h**3 - 80/9*h - 14/9*h**4 = 0. Calculate h.
-5, 0, 2/7, 4
Let s = -1006 + 1009. Solve -1/4*n**s + 7/4*n**2 - 4 - 2*n = 0.
-1, 4
Let p(f) = f + f**2 + 2 - 2. Let y(t) = t**3 - t + 1. Let v(j) = 9*j**3 + 2*j**2 - 13*j + 4. Let n(r) = -v(r) + 6*y(r). Let l(q) = -n(q) + 2*p(q). Factor l(u).
(u - 1)*(u + 2)*(3*u + 1)
Suppose 20 = -2*a - 200. Let p be (8/(-15))/(44/a). Factor -4/3 - p*n**3 + 4/3*n + 4/3*n**2.
-4*(n - 1)**2*(n + 1)/3
Let z(v) be the second derivative of v**8/13440 - v**7/6720 - v**3/2 - 11*v. Let b(d) be the second derivative of z(d). Find y such that b(y) = 0.
0, 1
Find h, given that -h**3 - 1/5*h**5 + 0 + 0*h + 2/5*h**2 + 4/5*h**4 = 0.
0, 1, 2
Determine p, given that -35698*p - 16*p**4 - 2*p**5 - 2*p**5 + 35698*p + 180*p**3 = 0.
-9, 0, 5
Suppose 2*n - 4*x = -0*x - 4, 0 = 5*n + 3*x - 42. Let u(p) = 3*p**3 + 45*p**2 - 219*p + 381. Let o(r) = r**3 + r + 1. Let l(q) = n*o(q) - u(q). Factor l(k).
3*(k - 5)**3
Let u(i) = 2*i + 9. Let v be u(-3). Suppose v*q + 23 = 83. Suppose 66*p**3 - q*p**2 - 16 - 14*p + 0*p - 50*p + 34*p**3 = 0. What is p?
-2/5, 1
Determine g, given that 23/2*g**2 + 14*g + 2 + 18*g**4 - 91/2*g**3 = 0.
-1/4, -2/9, 1, 2
Let y(c) = 4*c**2 - c - 2. Let n be y(-1). Factor 342*x**n - 900*x**2 + 76*x + 644*x + 33*x**3 - 192.
3*(5*x - 4)**3
Let b(x) = -x**2 - 6*x - 5. Let v be b(-2). Let n = -1/25 + 77/50. Factor 33/4*w + 3*w**v + 39/4*w**2 + n.
3*(w + 1)*(