6/5*i = 0?
0, 2/7
Factor 16 - 15*r + 23*r**2 - 22 - 12*r + 35*r**2 - 25*r.
2*(r - 1)*(29*r + 3)
Let b(l) be the first derivative of -l**4/16 - 7*l**3/4 - 9*l**2 - 17*l + 55. Determine s so that b(s) = 0.
-17, -2
Let y(o) = 6*o**2 + 88*o + 60. Let n be y(-14). Suppose 6/5*a - 24/5*a**5 - 54/5*a**3 - 2*a**2 - 64/5*a**n + 2/5 = 0. Calculate a.
-1, -1/2, 1/3
Factor 217*c**2 - 144 + 212*c**2 - 68*c - 26*c - 54*c - 433*c**2.
-4*(c + 1)*(c + 36)
What is w in 4/5*w + 1/5*w**4 - 8/5*w**3 + 3*w**2 - 4 = 0?
-1, 2, 5
Let b be (-16)/36 + (-80)/(-18). Let w(q) be the first derivative of -1 + 1/2*q**2 - 1/2*q**b + 0*q + 7/6*q**3. Factor w(u).
-u*(u - 2)*(4*u + 1)/2
Let b(c) be the second derivative of 14*c + 9/14*c**2 + 1/7*c**3 + 0 - 1/28*c**4. Determine z so that b(z) = 0.
-1, 3
Factor -4/3*n**2 + 0*n + 0 + 14/3*n**3 - 2*n**4.
-2*n**2*(n - 2)*(3*n - 1)/3
Let w = -37/9 + 38/9. Let 1/9*d**2 + w + 2/9*d = 0. Calculate d.
-1
Let f(r) be the first derivative of -10/3*r**3 - 38 - 5/4*r**4 + 0*r**2 + 0*r. Factor f(x).
-5*x**2*(x + 2)
Suppose 461*l - 463*l + 6 = 2*a, -3*a + 4*l = -16. Factor o**3 + 0 + 0*o + o**a + 0*o**2 + 1/4*o**5.
o**3*(o + 2)**2/4
Factor -2352/5*w - 32/5*w**4 - 784/5*w**3 - 4994/5*w**2 - 288/5.
-2*(w + 12)**2*(4*w + 1)**2/5
Let d be (-10)/(-6)*(-2907)/(-1615). Solve -10/13*r - 8/13*r**2 - 10/13*r**5 + 4/13*r**4 + 20/13*r**d + 4/13 = 0.
-1, 2/5, 1
Let q(n) be the first derivative of -n**6/1260 + n**4/84 - 22*n**3/3 + 13. Let b(v) be the third derivative of q(v). Factor b(m).
-2*(m - 1)*(m + 1)/7
Let d(n) be the first derivative of -15*n**4/4 - 7*n**3 + 87*n**2 + 72*n + 210. Factor d(l).
-3*(l - 3)*(l + 4)*(5*l + 2)
Suppose 0 = -3*n + 3*g + 2*g + 2952, 998 = n + 3*g. Find w such that 15*w**2 - n*w - 4*w**3 + 1001*w + 7*w**3 = 0.
-4, -1, 0
Let d(h) be the second derivative of 2*h**6/45 - 2*h**5/15 + 4*h**3/9 - 2*h**2/3 + 38*h. Factor d(k).
4*(k - 1)**3*(k + 1)/3
Let o(u) be the third derivative of -u**6/300 + 9*u**5/25 - 7*u**4/4 + 52*u**3/15 - 3*u**2 - 44. Determine x so that o(x) = 0.
1, 52
Suppose -2*s = -7*s - s. Let r(w) be the first derivative of 0*w - 5 - 2/3*w**3 + s*w**2. Factor r(c).
-2*c**2
Find b such that -10/3*b**3 - 10/3*b**2 - 2/3*b**4 + 4 + 10/3*b = 0.
-3, -2, -1, 1
Let g(t) be the first derivative of -5*t**6/6 - 11*t**5 + 135*t**4/4 + 55*t**3/3 - 65*t**2 + 373. What is j in g(j) = 0?
-13, -1, 0, 1, 2
Suppose f - 5*o - 48 = -18, o = -6. Let y(u) = -u**3 - 3*u**2 - 2*u. Let z be y(-2). Factor f + z*d - 1/7*d**2.
-d**2/7
Let k = -7 - -27. Let o be (5/((-25)/k))/(-2). Let -9/5 - 1/5*l**o + 6/5*l = 0. What is l?
3
Let b = 6 - 10. Let u = -2 - b. Determine x so that -x**4 - 3 - 2*x + 3*x**2 + 4 + u*x**3 - 3*x**2 = 0.
-1, 1
Suppose -2*s + l + 0 = -11, 0 = -s + 4*l + 16. Factor 783*r**s - 787*r**4 + r**5 + r**5.
2*r**4*(r - 2)
Determine b so that -b**4 + b**4 - 4*b**5 + 2*b - 8*b**4 + 8*b**2 + 2*b = 0.
-1, 0, 1
Let g(c) be the first derivative of 4/25*c**5 + 0*c**2 + 3/20*c**4 - 1/15*c**3 - 13 + 0*c. Find m, given that g(m) = 0.
-1, 0, 1/4
Let l = 36 - 16. Let h be 65/l + 2/(-8). What is p in 15*p**5 + 15*p**4 - 12*p**5 + 12*p**2 + 3*p**3 + 21*p**h = 0?
-2, -1, 0
Determine q, given that -80*q - 92/5*q**3 + 376/5*q**2 + 32/5 = 0.
2/23, 2
Let n(d) be the third derivative of 38*d**2 + 0*d - 1/420*d**7 + 1/3*d**3 - 1/48*d**6 + 5/48*d**4 - 1/40*d**5 + 0. Factor n(r).
-(r - 1)*(r + 1)**2*(r + 4)/2
Suppose 3*s + 9 = 2*a - 0, 5*a - 6 = 2*s. Factor a*m**2 + 3*m**2 - 4*m + 4*m.
3*m**2
Let j(n) be the second derivative of n**7/6300 + n**6/1800 - 5*n**4/12 + 16*n. Let a(c) be the third derivative of j(c). Solve a(m) = 0.
-1, 0
Suppose -14*u - 23*u = 6*u - 86. Let s be 1/10 - (-2)/5. Factor -n + s*n**u + 1/2.
(n - 1)**2/2
Let p(n) be the second derivative of n**6/105 - 3*n**5/70 - n**4/7 + 4*n**3/3 - 24*n**2/7 - 7*n. Determine a so that p(a) = 0.
-3, 2
Let b(h) be the second derivative of -h**4/36 - 4*h**3/9 - 2*h**2 - 13*h. Find x such that b(x) = 0.
-6, -2
Let m(o) be the third derivative of o**8/60 - 6*o**7/175 - 2*o**6/25 + 4*o**5/75 + 16*o**2 + 2. Suppose m(y) = 0. What is y?
-1, 0, 2/7, 2
Suppose 1 = 4*n + 9, -12 = -2*r + 4*n. Suppose r*o = 3*v - 30, 5*o + 27 = v + 4. Factor -v*l**4 - 4*l**3 - 1/2*l**2 + 0*l + 0.
-l**2*(4*l + 1)**2/2
Let u(s) be the second derivative of s**6/12 - 7*s**5/8 + 5*s**4/6 + 5*s**3 + 2*s - 6. Factor u(m).
5*m*(m - 6)*(m - 2)*(m + 1)/2
Let i = -227 - -341. Suppose -i = 14*l - 17*l. Suppose 19*g**3 + 21*g**3 - l*g**3 = 0. What is g?
0
Find p, given that 2/3*p**5 + 2/3*p**3 + 0 - 4/3*p - 2*p**2 + 2*p**4 = 0.
-2, -1, 0, 1
Suppose 2*i = d + 8, 8 = d + 2*i - 4. Let j = -697 + 699. Let -15*y + j*y - 3*y**3 + 28*y - 6 + 3*y**4 - 9*y**d = 0. Calculate y.
-2, 1
Let n be (96/(-105) - (-4)/(-14))*(923 + -929). Let 3/5*b**2 - 39/5*b + n = 0. What is b?
1, 12
Let f(x) be the third derivative of x**5/270 - 239*x**4/54 + 57121*x**3/27 - 612*x**2. Factor f(y).
2*(y - 239)**2/9
Let o(v) be the second derivative of -v**8/4032 - v**7/378 + 11*v**6/432 - v**5/12 + 2*v**4/3 - 35*v. Let u(b) be the third derivative of o(b). Factor u(s).
-5*(s - 1)**2*(s + 6)/3
Let k be -3 - ((-9)/(-3))/(-3). Let j be (4/(-5))/(k/5). Find w such that -6*w**j + 9*w**3 + 4*w - 3*w**4 - 4*w - 3*w**2 + 3*w = 0.
0, 1
Let b(k) be the second derivative of k**4/48 + 29*k**3/4 + 173*k**2/8 + 859*k. Factor b(o).
(o + 1)*(o + 173)/4
Factor 14/3 - 14/3*i**2 - 2/3*i + 2/3*i**3.
2*(i - 7)*(i - 1)*(i + 1)/3
Suppose -2*z + 22 = 4*g - 0*z, -20 = -5*g - 4*z. Solve -q + 15*q**2 - 1 - 12 - 9*q + g = 0 for q.
-1/3, 1
Let v(u) be the third derivative of u**5/330 - u**4/12 - 58*u**2. Find z, given that v(z) = 0.
0, 11
Let k = 199 - 141. Let s = k + -58. Factor r**4 + 0 - 2/7*r**3 + s*r**2 + 0*r.
r**3*(7*r - 2)/7
Let o(f) be the second derivative of f**7/1680 - f**6/240 - 11*f**3/6 - 21*f. Let a(i) be the second derivative of o(i). Solve a(b) = 0.
0, 3
Let m be -1 + (-21)/(-24) - (-140)/224. Let q**3 - 1/2 - q + 0*q**2 + m*q**4 = 0. What is q?
-1, 1
Let r be (12/6 + -12)/(4/(-3)). Let h(l) be the first derivative of 2*l - 7*l**2 + 14/3*l**3 - 6 + r*l**4. Factor h(x).
2*(x + 1)*(3*x - 1)*(5*x - 1)
Let f be 2 + (-147)/(-12) - (-8)/(-32). Let n = 0 + f. Let 8/3 - 50/3*a**4 + n*a**2 - 40/3*a + 40/3*a**3 = 0. What is a?
-1, 2/5, 1
Let l(t) = 36*t**4 - 54*t**3 - 12*t**2 + 48*t - 21. Let n(d) = 107*d**4 - 161*d**3 - 37*d**2 + 145*d - 62. Let x(w) = 8*l(w) - 3*n(w). Let x(u) = 0. What is u?
-1, 6/11, 1
Let c(n) be the third derivative of n**7/105 + n**6/30 + n**5/30 - 39*n**2 + n. Factor c(t).
2*t**2*(t + 1)**2
Suppose -63*x = -53*x - 20. Let z = 127/82 + -2/41. Factor -z*k**4 + 0 + 0*k - 3/2*k**x + 3*k**3.
-3*k**2*(k - 1)**2/2
Suppose -5*g + 1113 = 1098. Let m(h) be the second derivative of -6*h + 0 + 0*h**4 + 0*h**g + 1/10*h**5 - 1/15*h**6 + 0*h**2. Factor m(a).
-2*a**3*(a - 1)
Suppose 4*y = 2*y + o + 63, y + 2*o = 44. Let w be (0 - (-4)/84)*(y - 1). What is s in 16/7*s**4 + 2/7*s**2 + 0 - w*s**3 - s**5 + 0*s = 0?
0, 2/7, 1
Let v(o) be the first derivative of -3/2*o**4 + 0*o - 3 - 4*o**3 + 1/2*o**2 - 3/10*o**5 - 1/40*o**6. Let b(t) be the second derivative of v(t). Factor b(u).
-3*(u + 2)**3
Let m be (-3 - -9) + -1 + -1. Determine z, given that -5*z**4 - 21*z + 9 - 9*z**5 + 7*z**2 - 37*z**2 + 30*z**3 + 26*z**m = 0.
-1, 1/3, 1, 3
Let a(o) be the first derivative of o**6/72 - o**5/12 + 5*o**4/24 + 4*o**3/3 + 13. Let x(n) be the third derivative of a(n). Suppose x(v) = 0. Calculate v.
1
Let w = 26 - 23. Suppose 11*m - w*m = 3*m. Factor 6/5*x**3 + 8/5*x**4 + 0 - 2/5*x**2 + m*x.
2*x**2*(x + 1)*(4*x - 1)/5
Let c be 1/(30/(-20) + (1 - -1)). What is y in -12*y + 239*y**5 + 180*y**c - 1011*y**3 + 2520*y**4 - 1147*y**5 - 1444*y**5 = 0?
0, 1/4, 2/7
Let p(l) be the third derivative of -l**5/45 - l**4/9 + 2*l**3/3 - 70*l**2. What is v in p(v) = 0?
-3, 1
Let r = -53 + 59. Let y = 20/3 - r. Factor 4/3*n - y*n**2 - 2/3*n**3 + 0.
-2*n*(n - 1)*(n + 2)/3
Let m(k) be the third derivative of k**7/42 + k**6/10 + 3*k**5/20 + k**4/12 + 109*k**2. Suppose m(x) = 0. Calculate x.
-1, -2/5, 0
Let k = 3/76 + 5311/228. Let h(z) be the first derivative of 3 - k*z**3 - 16*z**2 + 147/2*z**4 + 8*z. What is y in h(y) = 0?
-1/3, 2/7
Determine d, given that -24/11*d**2 + 196/11 + 42/11*d + 2/11*d**3 = 0.
-2, 7
Suppose 