+ 1)**3
Let n(z) be the first derivative of -3/4*z**4 - 1/4*z**2 + 1 + 0*z + 3/4*z**3 + 1/4*z**5. Suppose n(u) = 0. Calculate u.
0, 2/5, 1
Let n(j) be the first derivative of j**6/2 - 12*j**5 + 213*j**4/2 - 420*j**3 + 1323*j**2/2 - 355. Factor n(k).
3*k*(k - 7)**2*(k - 3)**2
Let f = 1481/26982 + 1/1499. Let w(p) be the second derivative of f*p**4 + 5*p + 2/3*p**2 + 1/3*p**3 + 0. Solve w(n) = 0.
-2, -1
Let n be 4/(-14) - ((-13548)/(-21))/(-4). Let h = -797/5 + n. Factor 0*o + 6/5*o**3 + 2/5*o**2 + 0 - h*o**4.
-2*o**2*(o - 1)*(4*o + 1)/5
Let o(g) = g**3 + 7*g**2 - 2*g - 9. Let s be o(-7). Find l such that 17*l + 24*l - 34 - 11 - 11*l - s*l**2 = 0.
3
Suppose -11 = 2*a - 3*a. Let f be 42/(-231) - (-24)/a. Factor -4*c**2 + c**2 + 8*c**f - 5*c**4.
-5*c**2*(c - 1)*(c + 1)
Let n(u) = 0*u - 6*u - 2 + 0 + u**2 + 5. Let a be n(6). Find t such that 4*t**2 - 3*t**4 + 4*t**4 + 2*t**5 - 2*t**2 - 2*t**3 - a*t**4 = 0.
-1, 0, 1
Let n(g) be the third derivative of g**6/40 + g**5/12 + g**4/24 - g**3/6 - 2*g**2 + 27*g. Solve n(t) = 0.
-1, 1/3
Let t be (-332)/4150 + (-104)/(-50). Factor 2/3*v**t + 26/9*v + 8/9.
2*(v + 4)*(3*v + 1)/9
Factor 0 + 3/10*u**2 + 1/5*u + 1/10*u**3.
u*(u + 1)*(u + 2)/10
Factor 1/2*z**4 - 7*z**3 + 63/2 - 57*z + 32*z**2.
(z - 7)*(z - 3)**2*(z - 1)/2
Let i(s) = -10*s**2 + 8*s + 12. Let v(n) = 108*n**2 - 88*n - 132. Let w(k) = 3*k + 22. Let l be w(-18). Let j(g) = l*i(g) - 3*v(g). Factor j(x).
-4*(x - 3)*(x + 1)
Let x(r) be the second derivative of -7/15*r**3 - 1/5*r**2 - 17*r - 49/120*r**4 + 0. Find q, given that x(q) = 0.
-2/7
Let b be ((-32)/80)/((-1)/25). Factor 5*f**2 - 173 + 355 + b*f - 182.
5*f*(f + 2)
Solve -1 - 30*i**2 + 34*i**2 + 1 - 8*i = 0 for i.
0, 2
Factor 16/3 - 4/3*g**2 + 2/9*g**3 - 38/9*g.
2*(g - 8)*(g - 1)*(g + 3)/9
Suppose 3*g - x - 11 = 0, 5*g + 4*x + 14 = 7*g. Let -16*o**3 - o**5 - 48*o**4 + 4*o**5 - 8 - 9*o + 25*o**5 - g*o + 56*o**2 = 0. What is o?
-1, -2/7, 1
Let x(l) be the second derivative of 11/21*l**3 + 2*l + 0 - 3/14*l**4 - 2/7*l**2. Factor x(v).
-2*(v - 1)*(9*v - 2)/7
Let i(l) = l**3 - 6*l**2 + 4. Let p be i(6). Let s be 2 - (12 - -1 - 13). Factor -3*c**s - 3/2*c**5 + 3/2*c**p + 3/2 + 3*c**3 - 3/2*c.
-3*(c - 1)**3*(c + 1)**2/2
What is v in -1/3*v**2 - 8 - 14/3*v = 0?
-12, -2
Factor -4 + 13/2*x + 1/4*x**3 - 11/4*x**2.
(x - 8)*(x - 2)*(x - 1)/4
Let k(n) be the first derivative of 1/12*n**3 + 0*n + 0*n**2 - 37. Factor k(p).
p**2/4
Let b(c) be the third derivative of 71*c**6/240 + c**5/180 - 71*c**4/48 - c**3/18 + 4*c**2 - 39*c. Factor b(v).
(v - 1)*(v + 1)*(213*v + 2)/6
Let t(x) = 28*x**2 - 2*x - 2. Let u be t(-1). Let y(w) = -10*w**2 + 214*w - 1000. Let r(q) = -2*q**2 + 43*q - 200. Let g(z) = u*r(z) - 6*y(z). Factor g(m).
4*(m - 10)**2
Suppose -y = -6*y. Let m = y - -4. What is g in m + 6*g**2 - 2*g**4 - g**4 + 9*g**5 - 7 - 18*g**3 + 0 + 9*g = 0?
-1, 1/3, 1
Let n be (-156)/(-38) - 12/22*462/63. Suppose -8/19*p**2 + 10/19*p + 0 - n*p**3 = 0. What is p?
-5, 0, 1
Let o(y) be the first derivative of 361*y**4/22 - 2318*y**3/33 + 232*y**2/11 - 24*y/11 + 347. Determine a, given that o(a) = 0.
2/19, 3
Let f(o) be the third derivative of -o**6/72 + o**5/12 + 5*o**4/8 - 4*o**3/3 + 17*o**2. Let d(s) be the first derivative of f(s). Find c, given that d(c) = 0.
-1, 3
Suppose -a - 3*s = 2*s, 10 = -5*s. Suppose -3*i - 2 = 3*k + a, -2*i = 5*k + 8. Solve 2/9 - 2/9*j**2 + k*j = 0 for j.
-1, 1
Suppose b + 0*b = 55. Let y = b + -52. Find d such that 2/3 + 0*d**2 - 2/3*d**4 + 4/3*d - 4/3*d**y = 0.
-1, 1
Suppose -y + 116 = -3*y. Let q be y/(-18) - (-2)/(-9). Find l such that -3*l**3 + 2*l + 2*l**q - l**3 = 0.
-1, 0, 1
Let a = -1190 + 1986. Let m be (-1)/(-6) - (3 + a/(-264)). What is c in -2/11*c**4 + 0*c**2 - m*c**3 + 0*c + 0 = 0?
-1, 0
Let v be (-8)/68 + ((-17778)/(-2856) - 6). Let q(d) be the first derivative of -9 + 0*d**2 + 1/35*d**5 + 0*d + 2/21*d**3 - v*d**4. Factor q(m).
m**2*(m - 2)*(m - 1)/7
Let p = 447 + -442. Let k(h) be the second derivative of 1/30*h**6 + 0 - 1/12*h**4 + 1/6*h**3 + 0*h**2 + h - 1/20*h**p. Factor k(c).
c*(c - 1)**2*(c + 1)
Let s(w) be the second derivative of w**6/45 - 13*w**5/30 + 8*w**4/3 - 4*w**3 - 50*w + 1. Suppose s(i) = 0. What is i?
0, 1, 6
Suppose -21*t - 47 = 23 - 112. What is k in 0 - 39/2*k - 3/2*k**3 - 21*k**t = 0?
-13, -1, 0
Let r(c) be the first derivative of 3*c**4 - 68*c**3/3 + 20*c**2 - 29. Suppose r(m) = 0. Calculate m.
0, 2/3, 5
Let y(k) be the first derivative of 5/3*k**6 + 12 - 14/5*k**5 - 3/2*k**4 - 2*k**2 + 14/3*k**3 + 0*k. Solve y(l) = 0 for l.
-1, 0, 2/5, 1
Let c(n) be the third derivative of 0 - 3*n**2 + 1/15*n**5 - 1/3*n**4 + 2/3*n**3 + 0*n. What is l in c(l) = 0?
1
Factor 34*g - 363 - 7103*g**2 + 32*g + 7100*g**2.
-3*(g - 11)**2
Let j(o) be the second derivative of 0*o**2 + 1/3*o**4 + 0 + o + 3/10*o**5 + 0*o**6 - 1/21*o**7 + 0*o**3. Find t such that j(t) = 0.
-1, 0, 2
Determine y, given that 0*y**2 - 65855*y + 65807*y + 3*y**2 = 0.
0, 16
Suppose 2*t - 95 = -5*d, -6*t + 245 = -t + 5*d. Factor -15*f - 30*f**4 + 2*f**3 - 35*f**3 - t*f**2 - 5*f**5 - 27*f**3.
-5*f*(f + 1)**3*(f + 3)
Let d(t) = t**3 + 14*t**2 - t - 12. Let g be d(-14). Suppose -9*m = -g*m. Factor 3/4*v**4 - 3/4*v**2 - 3/2*v + m + 3/2*v**3.
3*v*(v - 1)*(v + 1)*(v + 2)/4
Let v = 12136/141 - 207/47. Determine f, given that 20 - v*f**3 + 595/3*f**2 + 400/3*f = 0.
-2/7, 3
Suppose 225 = 11*p + 4*p. Suppose -3 = -2*v + y, -3 = 5*v - 4*y - p. Find q, given that -1/3*q**2 + v + 2/3*q**3 + 0*q - 1/3*q**4 = 0.
0, 1
Let h = -99 - -100. Let b be 4 - -7 - 9 - -2*h. Factor -15/2*x**2 + 3/2*x**b - 3*x + 3/2*x**5 + 0 - 9/2*x**3.
3*x*(x - 2)*(x + 1)**3/2
Factor 0 - 142/9*q - 2/9*q**2.
-2*q*(q + 71)/9
Let l = 17 + -4. Let c = l - 12. Factor 3*q**2 - 9*q - c + 7 + 0.
3*(q - 2)*(q - 1)
Let u = 1 - 1. Let o(l) = l + 5. Let k be o(u). Determine q so that -15*q - k + 0 - 5*q**2 - 5 + 0 = 0.
-2, -1
Determine o, given that -1/5*o**3 - o + 0 - 6/5*o**2 = 0.
-5, -1, 0
Suppose -1 + 7 = 2*i, 0 = m - 5*i - 34. Let f = 247/5 - m. Determine d so that 0 - 2/5*d - f*d**2 = 0.
-1, 0
Let r(a) be the first derivative of -a**7/945 - a**6/180 - a**5/135 - 5*a**2 - 9. Let g(k) be the second derivative of r(k). Find u such that g(u) = 0.
-2, -1, 0
Let b(c) be the third derivative of 1/160*c**5 - 1/64*c**4 + 11*c**2 + 0*c - 1/8*c**3 + 0. Solve b(k) = 0 for k.
-1, 2
Let x(s) = s + 2. Let v be x(0). Let y be 1736/(-210) + 10 + (-14)/35. Factor -y*h**v + 4/3 + 2/3*h**3 - 2/3*h.
2*(h - 2)*(h - 1)*(h + 1)/3
Suppose -51/5*l**2 - 3/5*l**4 + 24/5*l + 6*l**3 + 0 = 0. What is l?
0, 1, 8
Determine z, given that -16*z**2 + 2*z**2 - 10 - 2246*z**3 + 2244*z**3 - 22*z = 0.
-5, -1
Let z(u) be the second derivative of -u**7/84 - 7*u**6/20 + 47*u**5/20 - 73*u**4/12 + 33*u**3/4 - 25*u**2/4 + 413*u. Let z(y) = 0. What is y?
-25, 1
Let b(q) = 4*q**2 + 4*q - 3. Let k(f) = -8*f**2 - 3*f + 12. Let t(n) = n + 1. Let l(w) = k(w) - 5*t(w). Let g(v) = 7*b(v) + 3*l(v). Factor g(s).
4*s*(s + 1)
Let t(x) = 11*x**4 - 36*x**3 + 25*x**2 - 12*x - 6. Let j(n) = -100*n**4 + 325*n**3 - 225*n**2 + 110*n + 55. Let y(u) = -6*j(u) - 55*t(u). Factor y(b).
-5*b**2*(b - 5)*(b - 1)
Determine d so that d**2 + 4/3*d + 1/3*d**5 + 0 - 5/3*d**3 - d**4 = 0.
-1, 0, 1, 4
Factor 2/7*z**2 + 8*z - 58/7.
2*(z - 1)*(z + 29)/7
Suppose -2*p + 5*h - 18 = -3*p, 3*p = 3*h. Suppose p*v - 8 = 4. What is n in 488 + 8*n - 488 + v*n**3 - 12*n**2 = 0?
0, 1, 2
Factor -157 - 161 + 303 + 5*m**2 - 10*m.
5*(m - 3)*(m + 1)
Let f(w) be the first derivative of w**6/2 + 33*w**5 - 345*w**4/2 + 350*w**3 - 705*w**2/2 + 177*w + 398. Solve f(r) = 0.
-59, 1
Let s(m) = 332752*m**3 + 36298*m**2 + 1324*m + 18. Let f(l) = -665505*l**3 - 72595*l**2 - 2650*l - 37. Let i(q) = -2*f(q) - 5*s(q). Factor i(n).
-2*(55*n + 2)**3
Suppose 108*o = 159*o - 80*o + 1044. Let -3/2*w**2 + o*w - 216 = 0. What is w?
12
Suppose 3*s + 12 = 5*s. Let t(n) = 3*n**2 - 32*n - 57. Let o(v) = -2*v**2 - 569*v - 21 + 601*v + 79. Let a(r) = s*t(r) + 7*o(r). What is m in a(m) = 0?
-4
Determine m, given that -2*m**4 - m**4 + 3*m**3 - 19*m**2 + 3*m**3 + 28*m**2 = 0.
-1, 0, 3
Suppose 4*a = 4*n + 8, 8 = -0*a - 4*a. Let w(k) = k**3 + k. Let j(q) = 3*q**3 + 5*q**2 - 3*q + 3. Let i(l) = n*w(l) + j(l). Find d, given that i(d) = 0.
1, 3
Suppose -128 = 5*r - 3*j, -2*r - 22 = -2*j + 26.