11*m**4/9 - m**3/9 - 22*m**2/3 + 72*m - 26. Factor q(n).
2*(n - 1)*(n + 1)*(n + 22)/3
Let x(j) = -j**2 + 21*j - 17. Let b be x(1). Let o(i) be the second derivative of -b*i - 1/36*i**4 + 0*i**2 + 0 - 1/18*i**3. Factor o(m).
-m*(m + 1)/3
Let l be (18/52)/((-5)/300*1). Let s = l - -1662/65. Find c such that 18/5*c**3 + 0*c**4 + 0 - 3/5*c**5 - s*c**2 + 9/5*c = 0.
-3, 0, 1
Let i(v) be the first derivative of 12*v**5/35 - 25*v**4/14 - 82*v**3/7 + 56*v + 2516. Solve i(t) = 0 for t.
-2, 7/6, 7
Let k(v) = -10*v**2 + 63*v. Let h(s) = -s**3 + 4*s**2 + 10*s - 1. Let m be h(6). Let x(i) = 5*i**2 - 31*i. Let f(u) = m*x(u) - 6*k(u). Solve f(g) = 0 for g.
0, 5
Let d(f) be the second derivative of f**5/70 + 23*f**4/14 - 220*f**3/21 - 288*f**2/7 + 2011*f. Factor d(y).
2*(y - 4)*(y + 1)*(y + 72)/7
Let d = 566737 + -2266945/4. Find b such that 0 - 13/4*b**2 + d*b = 0.
0, 3/13
Let x(w) be the second derivative of -w**7/21 - 5*w**6/3 - 141*w**5/10 - 283*w**4/6 - 238*w**3/3 - 72*w**2 - 2608*w - 2. Factor x(g).
-2*(g + 1)**3*(g + 4)*(g + 18)
Factor 0*t - 8 + 3/2*t**2 + 1/4*t**3.
(t - 2)*(t + 4)**2/4
Let s(p) be the first derivative of p**2/2 + 20*p - 14. Let z be s(-17). Factor -o**5 - 72*o**2 + 5*o**5 + 96*o**z + 7*o**5 - 9*o**5 - 26*o**4.
2*o**2*(o - 6)**2*(o - 1)
Let g = 171 - 168. Factor -36*y + 578 + 602 + g*y**2 - 1264.
3*(y - 14)*(y + 2)
Let j(v) be the third derivative of -v**7/945 - v**6/45 - 7*v**5/90 - 5*v**4/54 + 12*v**2 + v. What is a in j(a) = 0?
-10, -1, 0
Let g(y) = 4*y**2 + 58*y + 91. Let k(s) = s**2 + 14*s + 23. Let i = 294 + -285. Let o(d) = i*k(d) - 2*g(d). Factor o(u).
(u + 5)**2
Let d(r) be the first derivative of r**4 - 2692*r**3/3 + 1344*r**2 - 7147. Suppose d(j) = 0. Calculate j.
0, 1, 672
Suppose -628*i**3 - 101*i - 7*i - 40933*i**4 + 288 + 40961*i**4 - 1052*i**2 = 0. What is i?
-1, 3/7, 24
Find r, given that 2/9*r**5 + 22/3 - 182/9*r - 22/9*r**4 + 148/9*r**2 - 4/3*r**3 = 0.
-3, 1, 11
Factor -79/4*h**2 + 57/2*h - 2 - 27/4*h**3.
-(h - 1)*(h + 4)*(27*h - 2)/4
Determine k, given that k**4 - 1/6*k - 13/6*k**3 + 0 + 4/3*k**2 = 0.
0, 1/6, 1
Let b(q) = -2*q - 14. Let v be (-6*(-8)/12 + -13)*1. Let y be b(v). Solve -16*p + y*p**2 + 2 - 6 + 20 = 0.
2
Let g be 3/12 - 24123/(-9460). Factor 18/5*u**2 - 4/5 + g*u.
2*(u + 1)*(9*u - 2)/5
Suppose -31*y + 32*y = 4. Let u be 60/8 + -7 + y. Determine q so that u*q**2 - 12*q + 3*q**3 - 3/2*q**4 + 6 = 0.
-2, 1, 2
Let c(t) be the second derivative of -t**5/40 - t**4/30 + 23*t**3/60 + 11*t**2/10 + 1869*t. Let c(f) = 0. Calculate f.
-2, -1, 11/5
Let k(m) be the first derivative of m**5/120 - m**4/36 - m**3/36 + m**2/6 - 29*m - 10. Let x(f) be the first derivative of k(f). Solve x(o) = 0.
-1, 1, 2
Factor -150526*d + d**3 + 4*d**3 + 820 - 405*d**2 + 150106*d.
5*(d - 82)*(d - 1)*(d + 2)
Suppose 0 = -2*k + 493 + 353. Let c = k + -420. Suppose 12/7*m**2 - 2/7 + 22/7*m**4 - 2/7*m + 4*m**c + 6/7*m**5 = 0. What is m?
-1, 1/3
Let d(f) = 3*f**2 - 20*f + 63. Let n(p) = 2*p**2 - 9*p + 31. Let q be (-1 - 1)/((-2)/6 + 1). Let z(r) = q*d(r) + 5*n(r). Factor z(o).
(o - 2)*(o + 17)
Let o(c) be the second derivative of 0*c**2 - 17/6*c**3 + 0 + 1/90*c**6 - 11*c + 7/3*c**4 + 3/10*c**5. Let a(l) be the second derivative of o(l). Factor a(b).
4*(b + 2)*(b + 7)
Let l(v) be the third derivative of v**7/2520 - v**6/1080 - v**5/180 + 67*v**3/6 - v**2 - 9. Let b(g) be the first derivative of l(g). Factor b(p).
p*(p - 2)*(p + 1)/3
Let b be (9/(-18))/(7/11816). Let k = 844 + b. Suppose 4/3*q**2 - 2/9*q**3 + k*q - 20/9*q**4 + 0 - 2/3*q**5 = 0. What is q?
-3, -1, 0, 2/3
Let j(i) be the second derivative of i**5/4 - 20*i**4/3 - 1120*i**3/3 - 5120*i**2 + 3466*i. Suppose j(l) = 0. What is l?
-8, 32
What is x in 68*x**2 + 25/7*x**5 + 134/7*x**3 - 755/7*x**4 + 120/7*x + 0 = 0?
-2/5, 0, 1, 30
Let u(f) be the first derivative of -62 + 9/2*f**2 - 10*f + 1/3*f**3. Factor u(r).
(r - 1)*(r + 10)
Let j = -63620 - -63622. Solve 0 - 4/9*c**j + 2/9*c = 0 for c.
0, 1/2
Let o(b) be the first derivative of b**6/216 + 2*b**5/3 + 40*b**4 + 3*b**3 - 148. Let n(k) be the third derivative of o(k). Determine l so that n(l) = 0.
-24
Let m(k) be the second derivative of 1/30*k**6 - 30*k + 17/60*k**5 + 0 - 5/6*k**3 - 1/4*k**4 + 0*k**2. Let p(b) be the second derivative of m(b). Factor p(y).
2*(y + 3)*(6*y - 1)
Suppose 2262*t + 3*t**2 - 1137*t - 60 - 1128*t = 0. What is t?
-4, 5
Let w(h) be the first derivative of -26 + 0*h**3 - 8*h - 14/3*h**2 + 1/3*h**4. Factor w(b).
4*(b - 3)*(b + 1)*(b + 2)/3
Let o = 167 - 165. Suppose 912*b**o - 915*b**2 - 21*b - 20 - 10 = 0. What is b?
-5, -2
Solve -225/2*p - 15*p**2 + 0 + 3/2*p**3 = 0.
-5, 0, 15
Let l(z) be the first derivative of -z**5/15 + 5*z**4/6 - 4*z**3 - 105*z**2/2 + 207. Let y(b) be the second derivative of l(b). Suppose y(m) = 0. What is m?
2, 3
Suppose 4*n - 35 = 9. Suppose n*l - 12*l = -2. Factor -5*x**3 + 22*x**2 - 4 - 10*x + 4 - 7*x**l.
-5*x*(x - 2)*(x - 1)
Suppose 5*x + 30 = m, 3*x + 18 = -33*m + 28*m. Find d, given that -6/13*d**4 + m*d + 6/13*d**2 + 2/13*d**3 + 0 - 2/13*d**5 = 0.
-3, -1, 0, 1
Let y be 69 + -1 + 3 + 35/14. Let q = 74 - y. Let -50 + 10*z - q*z**2 = 0. What is z?
10
Let u(s) = 3*s**3 - 3*s**2 + s + 1. Let a(p) = 8*p**3 - 62*p**2 + 284*p - 394. Let t(n) = a(n) - 2*u(n). Solve t(b) = 0 for b.
3, 22
Let z(x) = 65 + 40*x - 118*x - 88. Let v(i) = i**2 - 76*i - 24. Let k(f) = 5*v(f) - 4*z(f). Factor k(g).
(g - 14)*(5*g + 2)
Let r(g) be the third derivative of g**5/12 + 10*g**4/3 - 280*g**3 - 1624*g**2. Let r(q) = 0. Calculate q.
-28, 12
Suppose -60*w - 5 = -66*w + 13. Let a(u) be the third derivative of -1/105*u**7 + 0*u + 1/30*u**5 + 0 + 0*u**6 + w*u**2 + 0*u**3 + 0*u**4. Factor a(r).
-2*r**2*(r - 1)*(r + 1)
Let l be (2028/(-312))/((-25)/30). Factor l*i**3 + 204/5*i + 96/5 + 3/5*i**4 + 144/5*i**2.
3*(i + 1)*(i + 2)**2*(i + 8)/5
Let x(h) be the first derivative of -7/20*h**4 - 1/25*h**5 - 1/2*h**2 - 11/15*h**3 + 127 + 0*h. Let x(z) = 0. Calculate z.
-5, -1, 0
Let t(y) be the second derivative of 2*y**6/15 - 62*y**5/5 + 292*y**4/3 - 268*y**3 + 342*y**2 + 77*y - 3. Determine u, given that t(u) = 0.
1, 3, 57
Suppose f = -10*z + 7*z + 783, -f + 3*z + 777 = 0. Let n be (f/(-819))/(15/(-42)). Determine x so that -23/9*x**2 - n*x**3 - 2/9 + 16/9*x**4 + 5/3*x = 0.
-1, 1/4, 2
Let j(p) = 61*p + 17 - 57*p - 25 - 31 - 16. Let v be j(16). Suppose -3/4*n**2 - 27 - v*n = 0. Calculate n.
-6
Determine g, given that -1/4*g**5 + 75 + 449*g**2 + 1199/4*g + 597/2*g**3 + 74*g**4 = 0.
-1, 300
Let n(f) = 8*f - 258. Let a be n(38). Let m be a/(-644) + 18/28. Let m*h**3 - 8/7*h - 4/7*h**2 + 0 = 0. What is h?
-1, 0, 2
Let z(i) be the second derivative of 1/110*i**5 + 0 + 0*i**2 + 43*i + 0*i**3 + 1/33*i**4 - 1/231*i**7 - 2/165*i**6. What is w in z(w) = 0?
-2, -1, 0, 1
Let s(u) be the third derivative of -u**5/90 - 83*u**4/36 + 170*u**3/9 - 385*u**2 + 4. Factor s(g).
-2*(g - 2)*(g + 85)/3
Suppose 5*z + 2*j = 2*z + 25, -5*z - j + 30 = 0. Suppose -q + 14 = 4*n, 0*n = q + z*n - 10. Suppose -2*a**2 - 11*a - 2*a**2 - a + q - 38 = 0. What is a?
-2, -1
Let v(i) be the third derivative of -i**8/336 + 44*i**7/105 - 1933*i**6/120 - 131*i**5/30 + 704*i**4/3 + 1936*i**3/3 - 6448*i**2. Suppose v(l) = 0. Calculate l.
-1, 2, 44
Let q be 5 - ((-2)/4)/((-11)/110). Suppose q = -4*f + 4*m - 4, 2*m + 24 - 26 = 0. Factor 10/3*s**2 + f + 1/3*s**3 + 25/3*s.
s*(s + 5)**2/3
Suppose 1149/7*y - 684/7 + 3/7*y**4 - 225/7*y**3 - 243/7*y**2 = 0. What is y?
-3, 1, 76
Let a = 70 + -57. Suppose -a = -j - 3. Factor j*z**3 + 10*z**2 - z**4 - 3*z**5 + 1 + 6*z**4 - 8*z**5 + 12*z**5 + 5*z.
(z + 1)**5
Let f(y) = -y**2 + 634*y + 4490. Let l be f(-7). Let c(q) be the first derivative of l + 3/8*q**2 - 3/4*q**3 + 0*q. Find h such that c(h) = 0.
0, 1/3
Find f, given that 18048/7*f - 8836/7*f**2 - 9216/7 = 0.
48/47
Let -220 + 48*x**3 + 20*x**4 + 46*x**3 + 148*x**2 + 21*x**3 - 279*x**2 - 919*x**2 + 1135*x = 0. What is x?
-11, 1/4, 1, 4
Let a(l) be the second derivative of -16/3*l**3 - 1 + 7*l + 4*l**4 - 6/5*l**5 + 2/15*l**6 + 0*l**2. Determine f so that a(f) = 0.
0, 2
Let j = 15484/45 - 3068/9. Find r, given that j*r - 4/5*r**2 + 4 = 0.
-1, 5
Let l(s) = -39*s**2 + 114*s - 207. Let i(v) = -187*v**2 + 571*v - 1036. Let k(r) = 3*i(r) - 14*l(r). Let k(q) = 0. Calculate q.
14/5, 5
