10*u + 4*u. Suppose 3 = -2*w + 9. Factor -d**2 + u*d**3 + 0*d**3 - d**4 - 2*d**w.
-d**2*(d + 1)**2
Let y be (-6)/(144/(-750))*1/5. Let g(m) be the second derivative of 0 - 10*m**3 - y*m**4 - 10*m - 6*m**2. Factor g(d).
-3*(5*d + 2)**2
Let 9/5*g**2 + 0*g - 6/5*g**3 - 3/5*g**4 + 0 = 0. Calculate g.
-3, 0, 1
Let x(m) be the first derivative of m**4/2 + 32*m**3 + 768*m**2 + 8192*m + 137. Factor x(s).
2*(s + 16)**3
Let a(j) = 4*j + 1. Let m be a(1). Suppose 6 - 16 = -m*d. Determine n, given that -2*n**3 + 4*n - n**4 - 3*n + 4*n**d - 3*n**2 + n = 0.
-2, -1, 0, 1
Let i(g) be the second derivative of -9*g**5/20 + 34*g**4 - 1495*g**3/2 - 1587*g**2 - 4*g - 1. Find a, given that i(a) = 0.
-2/3, 23
Let -247/9*x**2 + 20 + 5/9*x**4 + 116/3*x + 22/9*x**3 = 0. What is x?
-10, -2/5, 3
Let r(y) = y**3 + 12*y**2 + 12*y + 6. Let d be r(-11). Let j(a) = a + 7. Let q be j(d). Factor -2*t**3 - 10*t**q + 4*t - 2*t**4 - t + 10*t**3 + t.
-2*t*(t - 2)*(t - 1)**2
Let m(y) be the first derivative of y**7/735 - y**5/105 + y**3/21 + 7*y**2/2 + 1. Let o(k) be the second derivative of m(k). What is g in o(g) = 0?
-1, 1
Let f be (-1215)/(-486) + 10/(-4). Let -5/3*l**3 + 0 + f*l - 2/3*l**2 = 0. Calculate l.
-2/5, 0
Let j(f) be the third derivative of -f**8/4032 + f**7/1008 - 17*f**5/60 - 9*f**2. Let q(z) be the third derivative of j(z). Factor q(u).
-5*u*(u - 1)
Let d(a) be the third derivative of a**7/840 - a**6/240 - a**5/80 + a**4/12 - a**3/6 + 8*a**2. Factor d(t).
(t - 2)*(t - 1)**2*(t + 2)/4
Let d(r) be the first derivative of -3*r**5/10 + 3*r**4/2 - 2*r**3 - 116. What is b in d(b) = 0?
0, 2
Let d be (-2)/((-1)/(-3 - -4)). Suppose -3*k - 15 = d*r, r - 15 = 2*r + 3*k. Factor r - 4/7*i**3 + 0*i - 2/7*i**2 - 2/7*i**4.
-2*i**2*(i + 1)**2/7
Let n(h) be the third derivative of -h**5/12 + 5*h**4/3 - 35*h**3/6 - h**2 - 32*h. Factor n(u).
-5*(u - 7)*(u - 1)
Let s(f) be the third derivative of 7*f**2 + 0*f**3 + 1/70*f**7 + 1/25*f**6 + 0*f**4 + 1/560*f**8 + 0*f + 1/25*f**5 + 0. Factor s(k).
3*k**2*(k + 1)*(k + 2)**2/5
Factor -268*t + 23 - 35*t**3 + 57 + 410*t - 382*t + 195*t**2.
-5*(t - 4)*(t - 1)*(7*t - 4)
Let c(v) = 10*v - 318. Let q be c(32). Solve 14/3*z**3 + 2*z**4 + 3*z + 2/3 + 1/3*z**5 + 16/3*z**q = 0.
-2, -1
Let i(a) = -a**2 - 5*a + 1. Let u be i(-4). Factor 2*l**2 - 21*l + 6*l + u*l.
2*l*(l - 5)
Suppose 8*x + 2 = 6*x. Let o = x - -3. Factor 5*v + 23*v**2 + 0*v**3 + 4*v**3 + 2 - 3*v**3 - 19*v**o.
(v + 1)**2*(v + 2)
Let b(a) be the second derivative of a**9/6720 - a**8/1280 + a**7/1680 + a**4/3 - 10*a. Let d(g) be the third derivative of b(g). Factor d(k).
3*k**2*(k - 2)*(3*k - 1)/4
Let w = 27 + -22. Suppose -w*h + 25 = -5*d, 4*d + 0 = -5*h - 2. Find m, given that 9*m - 9*m + m**2 + 0*m**h = 0.
0
Let c be 3/6 - (-3)/2. Suppose 3*h = -u + 4*h - c, 2*u = -5*h + 24. Factor u - 10 - 56*n**2 - 3*n**3 + 14*n**2 - 15*n**3 - 32*n.
-2*(n + 1)*(3*n + 2)**2
Let o be 1/5 - 29/(-5). Let f(w) = -10*w**2 - 6. Let l(u) = -u**2 - 1. Let y(h) = o*l(h) - f(h). Factor y(n).
4*n**2
Let q be (0 + 10)/(-2) - 7 - -15. Factor -32400*y**q + 96/5 + 6480*y**2 + 60750*y**4 - 576*y.
6*(15*y - 2)**4/5
Factor 2592/5 + 2/5*n**2 + 144/5*n.
2*(n + 36)**2/5
Let u = -427 + 429. Let x = -5/7 + 22/21. Factor -l**4 + l - 2/3*l**3 + 2/3*l**u - x*l**5 + 1/3.
-(l - 1)*(l + 1)**4/3
Suppose 5*x + 0*x - 24 = 2*t, 0 = 2*x + t - 6. Determine g so that -41 - x*g**2 + 41 + 4*g**3 = 0.
0, 1
Let o(c) be the third derivative of 1/735*c**7 + 0*c**3 + 0*c + 0*c**4 + 20 - 2*c**2 - 1/21*c**5 + 3/140*c**6. Let o(a) = 0. Calculate a.
-10, 0, 1
Let c be (-16)/(-252) + 76/342. Factor -6/7*v - c*v**2 + 8/7.
-2*(v - 1)*(v + 4)/7
Suppose 15*x = -72 + 522. What is z in -3*z**3 + 2*z**3 + 7*z + x - 42*z + 6*z**3 = 0?
-3, 1, 2
Suppose 7*v = -5*g + 3*v + 27, 4*g = -5*v + 27. Factor 2*b - 18 + 3*b + 4*b - 2*b**2 + g*b.
-2*(b - 3)**2
Let -18 - 141/4*a - 33/2*a**2 + 3/4*a**3 = 0. What is a?
-1, 24
Let i(z) = -13*z + 30. Let l be i(2). Suppose 0 = -3*a + l + 11. Solve 2/15*x**a - 8/15*x**4 + 2/15*x - 8/15*x**2 + 0 + 4/5*x**3 = 0 for x.
0, 1
Suppose -4*n + 2*m + 24 = 0, -2*n = -n - 4*m - 20. Let c be 45/50 - n/10. Factor 3/2*z - c*z**2 - 1.
-(z - 2)*(z - 1)/2
Let t be (198/330 + 17/(-45))*(1 + 2). Let 2/3 - 2/3*k**3 - 2/3*k**2 + t*k = 0. Calculate k.
-1, 1
Factor 9/11*a + 0 - 6/11*a**2 + 1/11*a**3.
a*(a - 3)**2/11
Factor 12 - 45*m**2 - 14*m - 64*m**2 + 111*m**2.
2*(m - 6)*(m - 1)
Suppose -p + 3 = 3*k - 15, 0 = -3*k + 12. Let c be (-84)/(-16) + -2 + -9 + p. Solve -1/4*w**3 - c*w**2 + 5/4*w - 3/4 = 0.
-3, 1
Let l(j) be the first derivative of 63/20*j**4 - 147/25*j**5 + 24/5*j**3 - 3 + 6/5*j**2 + 0*j. Suppose l(u) = 0. Calculate u.
-2/7, 0, 1
Let d(a) be the second derivative of a**6/90 - 31*a**5/60 - 11*a**4/4 - 101*a**3/18 - 17*a**2/3 - 1000*a. Solve d(n) = 0.
-1, 34
Let c(l) be the third derivative of -l**6/72 + l**5/6 + 25*l**4/24 - 14*l**3/3 + 39*l**2. Let v(r) be the first derivative of c(r). Factor v(f).
-5*(f - 5)*(f + 1)
Factor -175/3*z + 60 - 5/3*z**2.
-5*(z - 1)*(z + 36)/3
Suppose 0 = -111*d + 114*d. Let o(g) be the second derivative of 0*g**3 + 1/2*g**4 + d + 0*g**2 + 3/20*g**5 + 6*g. Factor o(l).
3*l**2*(l + 2)
Suppose 2 = 2*v, -5*a - 148*v + 147*v + 21 = 0. Factor 10*g + a + 25/4*g**2.
(5*g + 4)**2/4
Let v = -200/11 - -234/11. Let -2/11*q**4 - 34/11*q**2 + v*q + 14/11*q**3 - 12/11 = 0. Calculate q.
1, 2, 3
Let m(y) = -6*y**2 + 30*y + 134. Let w be m(7). What is i in w + 1/2*i**2 + 10*i = 0?
-10
Let h(t) be the first derivative of -t**6/30 - t**5/15 + t**4/3 + 23*t**2/2 + 11. Let v(x) be the second derivative of h(x). Suppose v(f) = 0. What is f?
-2, 0, 1
Let o(p) = -p**2 + 1. Let a(q) = -2*q**2 + 9*q - 19. Let b(h) = -5*a(h) + 5*o(h). Factor b(r).
5*(r - 5)*(r - 4)
Let x(a) = a + 5. Let v be x(-3). Let 6*j**v - 12*j - 6 - 3*j**3 + 27*j - 12*j = 0. What is j?
-1, 1, 2
Let a(g) = g**2 + 12*g + 2. Let t be a(-12). Suppose -3*b = -2*c + t, 0 = -3*c - b + 5*b + 4. Factor -1/3*z**2 + 0 + 1/3*z**c + 0*z**3 - 1/6*z + 1/6*z**5.
z*(z - 1)*(z + 1)**3/6
Let p = -105 - -107. Let o(l) be the third derivative of 0*l**4 + l**p - 1/30*l**5 + 0*l + 0 + 1/60*l**6 + 0*l**3. Find b, given that o(b) = 0.
0, 1
Factor 7/5*z**4 + 16/5*z - 1/5*z**5 - 16/5*z**3 - 16/5 + 8/5*z**2.
-(z - 2)**4*(z + 1)/5
Let t = -14 - -18. Let f = -9 + 14. Find c, given that 0*c**3 + 0*c**4 - c**3 + 2*c**t + 7*c**5 - 8*c**f = 0.
0, 1
Let w(f) be the third derivative of -f**7/945 + f**6/60 - 4*f**5/45 + 4*f**4/27 + 400*f**2. Suppose w(o) = 0. What is o?
0, 1, 4
Let y be 0 + (-1)/(-5) - (-510)/(-3000). Let q(i) be the second derivative of -3/10*i**2 + 0 + 1/20*i**4 - 1/10*i**3 + i + y*i**5. Factor q(z).
3*(z - 1)*(z + 1)**2/5
Let f(v) be the first derivative of 22/3*v**3 - 20*v**2 + 8*v - 21 + 35/2*v**4. Factor f(c).
2*(c + 1)*(5*c - 2)*(7*c - 2)
Let v(z) be the second derivative of -2*z**6/15 - z**5/10 + z**4/3 + z**3/3 - 107*z. Factor v(u).
-2*u*(u - 1)*(u + 1)*(2*u + 1)
Let h = 34 + -9. Suppose -z + 6*z - h = 0. Factor 6*p**z - 2*p**4 - 3*p**5 + 8*p**4 - 3*p - 6*p**2.
3*p*(p - 1)*(p + 1)**3
Let q(j) = -27*j**3 - 5*j**2 - 30*j + 18. Let d(f) = -10*f**3 - 2*f**2 - 10*f + 6. Let u(t) = 11*d(t) - 4*q(t). Solve u(g) = 0.
-3, 1
Let a(j) be the first derivative of j**3/3 - 7*j**2/2 + 6*j - 184. Solve a(w) = 0.
1, 6
Let t(q) = -45*q**4 - 472*q**3 + 696*q**2 - 244*q + 4. Let r(s) = -495*s**4 - 5190*s**3 + 7655*s**2 - 2685*s + 45. Let i(p) = -4*r(p) + 45*t(p). Factor i(g).
-5*g*(g + 12)*(3*g - 2)**2
Let m(b) = b**2 - 86*b + 85. Let k(g) = -g + 1. Let z(h) = 3*k(h) + m(h). Factor z(s).
(s - 88)*(s - 1)
Let p(w) be the third derivative of w**5/285 - 37*w**4/228 + 6*w**3/19 + 50*w**2 + 3. Find x, given that p(x) = 0.
1/2, 18
Let z be (14/16)/(41/328). Let q(p) be the third derivative of 0*p + 10*p**2 - 1/40*p**6 - 9/56*p**4 + 0*p**3 + 3/28*p**5 + 0 + 1/490*p**z. Solve q(g) = 0.
0, 1, 3
Let w(c) be the third derivative of c**5/12 + 25*c**4/24 - 35*c**3/3 + c**2 + 2*c. Factor w(v).
5*(v - 2)*(v + 7)
Factor 2*r + 2/13*r**2 + 72/13.
2*(r + 4)*(r + 9)/13
Let s(k) be the first derivative of -26 - 1/2*k**3 + 0*k**2 + 3/2*k. Factor s(n).
-3*(n - 1)*(n + 1)/2
Suppose 4*s + 4 = -2*i, -2*i + 6*i - 6 = -s. Let q(w) be the third derivative of 0 + 11*w**i + 0*w**3 + 0*w**4 - 1/140*w**5 + 0*w + 1/280*w**6