+ 1/63*q**7 + 15*q**2 + 0*q + 1/90*q**6. Solve p(k) = 0.
-1, -2/5, 2
Let k(a) = -9*a**5 + 33*a**3 + 19*a**2 - 10*a + 5. Let g(n) = -13*n**5 + 49*n**3 + 29*n**2 - 14*n + 7. Let z(y) = 5*g(y) - 7*k(y). What is f in z(f) = 0?
-2, -1, 0, 3
Let k(g) be the second derivative of g**8/11200 + g**7/4200 - g**6/1200 - g**5/200 + 5*g**4/12 + 11*g. Let c(h) be the third derivative of k(h). Factor c(s).
3*(s - 1)*(s + 1)**2/5
Let v(q) be the first derivative of q**8/1680 - q**7/175 + 3*q**6/200 - q**5/75 + 6*q**2 + 20. Let g(y) be the second derivative of v(y). Factor g(n).
n**2*(n - 4)*(n - 1)**2/5
Let f = 18 - 16. Let m(c) = c**4 + c**3 + c**2 - c + 1. Let j(g) = g**4 + 5*g**3 - 3*g**2 - 5*g - 1. Let w(s) = f*j(s) + 2*m(s). Let w(n) = 0. What is n?
-3, -1, 0, 1
Let j(o) = -8*o**5 + 17*o**4 + 20*o**3 + 34*o**2 - 9*o. Let z(m) = -m**5 + m**4 + 2*m**2 - m. Let r(b) = -2*j(b) + 18*z(b). What is t in r(t) = 0?
-4, -2, 0
Suppose -5*v = 0, -7*r + 3*r = -4*v - 8. Let c(j) be the first derivative of r + 1/14*j**4 + 2/7*j - 2/21*j**3 - 1/7*j**2. Factor c(u).
2*(u - 1)**2*(u + 1)/7
Let r(g) be the third derivative of -g**7/315 + 16*g**6/45 - 181*g**5/15 + 496*g**4/9 - 961*g**3/9 + 296*g**2. Factor r(s).
-2*(s - 31)**2*(s - 1)**2/3
Let x(p) be the third derivative of -p**6/18 + p**5/24 - 11*p**3/2 - 23*p**2. Let f(v) be the first derivative of x(v). Factor f(k).
-5*k*(4*k - 1)
Let p(v) = -v + 7. Let t be p(5). Suppose b = 3 - 1. Solve -l - l**t - 2*l**2 - l**3 + l**b = 0 for l.
-1, 0
Let c(j) be the second derivative of j**8/336 + j**7/84 - 10*j**3/3 + 24*j. Let u(a) be the second derivative of c(a). Factor u(n).
5*n**3*(n + 2)
Let -18/7*v**2 - 3698/7 + 516/7*v = 0. What is v?
43/3
Let f(k) be the second derivative of -k**6/40 - 27*k**5/80 - 25*k**4/16 - 27*k**3/8 - 15*k**2/4 - 6*k - 4. What is o in f(o) = 0?
-5, -2, -1
Let q = 29 + -21. Factor 5*b - 3*b**3 - 3*b**2 - 7*b + q*b.
-3*b*(b - 1)*(b + 2)
Let h(k) be the second derivative of 1/15*k**6 + 1/5*k**5 - 2/3*k**3 - 3*k + 0 - k**2 + 0*k**4. Find y, given that h(y) = 0.
-1, 1
Let r = 1786 + -8928/5. Let s(u) be the first derivative of 3/25*u**5 + 9/10*u**2 + 8 - r*u - 1/15*u**6 - 13/15*u**3 + 1/4*u**4. Let s(d) = 0. Calculate d.
-2, 1/2, 1
Let j = 15 - 14. Let a(h) = h**3 - h**2. Let i(y) be the second derivative of y**6/30 - y**5/20 - 3*y. Let x(s) = j*i(s) - a(s). Factor x(m).
m**2*(m - 1)**2
Suppose r + 3*s = 4 + 11, -25 = -5*s. Let i(h) be the second derivative of 1/6*h**4 + r*h**2 - 3/20*h**5 + 0*h**3 + 0 + 1/30*h**6 - h. Factor i(n).
n**2*(n - 2)*(n - 1)
Let f(x) be the third derivative of 0*x - 28*x**2 + 0*x**5 + 0*x**4 + 0 - 1/1680*x**8 + 1/525*x**7 + 0*x**3 + 1/200*x**6. Let f(h) = 0. What is h?
-1, 0, 3
Let p(u) = u**2 - 8*u - 19. Let h be p(10). Suppose 4*q**2 + h + 0*q**2 - 3*q**2 - 2*q = 0. What is q?
1
Let i(u) = 3*u**4 + 143*u**3 + 5040*u**2 - 5185*u - 1. Let j(r) = 2*r**4 - r - 1. Let f(a) = 3*i(a) - 3*j(a). Solve f(h) = 0 for h.
-72, 0, 1
Factor 0*l**2 + 0*l**4 - 4/9*l**3 + 2/9*l**5 + 0 + 2/9*l.
2*l*(l - 1)**2*(l + 1)**2/9
Factor 38*g - 80 - 4*g**3 + 24*g + 45*g + 34*g - 57*g.
-4*(g - 4)*(g - 1)*(g + 5)
Let x be ((-6)/12)/((-1)/(-8)). Let r be 2/x - 4/((-144)/45). What is q in r*q**2 + 5/4*q**3 - 1/2*q + 0 = 0?
-1, 0, 2/5
Let y be 6/21*(23 - -5). What is p in -16*p**4 - 4*p**3 - 3*p**5 + 7*p**5 + y*p**3 + 12*p**3 = 0?
0, 2
Let o(c) = -150 - 143 + 11*c + 284. Let u be o(1). What is x in 3/5*x**u - 6/5*x - 9/5 = 0?
-1, 3
Let f(n) be the third derivative of n**6/160 - 47*n**5/240 - 3*n**4/16 + 4*n**3/3 - 135*n**2. Factor f(y).
(y - 16)*(y + 1)*(3*y - 2)/4
Let u(h) be the third derivative of -7/30*h**4 + 0*h + 0 + 12*h**2 + 2/15*h**3 + 1/42*h**7 - 7/60*h**6 + 23/100*h**5. Factor u(t).
(t - 1)**2*(5*t - 2)**2/5
Factor -12*f**2 - 2*f - 2*f**4 - 16*f**3 + 0*f**4 + 0*f**4 + 11*f + 14 + 7*f.
-2*(f - 1)*(f + 1)**2*(f + 7)
Let g(h) = h**2 + 8*h + 11. Let f be g(-7). What is z in -f*z**2 - 5*z - 8 + 7*z + 8*z + 4 = 0?
1/2, 2
Let r be 90/132*4/5. Factor -2/11*k**4 + 0 + 6/11*k**3 + 2/11*k - r*k**2.
-2*k*(k - 1)**3/11
Let u(z) be the first derivative of 3*z**6/40 - 33*z**5/80 + 37*z**4/48 - 5*z**3/8 + z**2/4 - 7*z + 6. Let y(n) be the first derivative of u(n). Factor y(f).
(f - 2)*(f - 1)*(3*f - 1)**2/4
Let p = -9520 + 9520. Suppose 0*t + p - 2/7*t**3 + 4/7*t**2 = 0. Calculate t.
0, 2
Let x(n) = n**3 + 15*n**2 - 34*n + 3. Let m be x(-17). Let y(q) be the first derivative of 0*q - 1/4*q**4 + 4/3*q**m - 2 - 3/2*q**2. Factor y(w).
-w*(w - 3)*(w - 1)
Suppose 3*p + 4*j + 20 = 4*p, -5*p + 5*j = -115. Suppose -16*z + p*z**5 + 45*z**4 + 15*z**3 - 25*z**2 - 11*z**5 + 7*z**5 + z = 0. What is z?
-1, 0, 3/4
Suppose 0 = 8*a - 146 + 106. Let x(w) be the third derivative of -11*w**2 + 1/900*w**6 + 4/45*w**3 + 0 + 0*w + 2/45*w**4 + 1/90*w**a. Find m such that x(m) = 0.
-2, -1
Let n(i) = i**2 + 5*i - 3. Let d(y) = -2*y**2 - 9*y + 7. Let v(c) = -3*d(c) - 5*n(c). Let f be v(-4). Factor 4*s + 4*s**2 - 2 + f + 0*s.
4*s*(s + 1)
Let s(y) be the first derivative of 2*y**3/9 + 488*y**2/3 + 119072*y/3 + 469. Find h such that s(h) = 0.
-244
Let x = -2245 - -2247. Let 55/6*l**x - 10*l - 5/2*l**3 + 10/3 = 0. Calculate l.
2/3, 1, 2
Find q, given that 7/2*q**3 - 7/2*q - 1/2*q**4 - 4 + 9/2*q**2 = 0.
-1, 1, 8
Let q(b) = 2*b**2 - 3*b**2 + 4*b - 3*b + 2*b. Suppose -l = -a, -4*l + 2 = -a - 10. Let r(z) = -z**2. Let p(g) = l*r(g) - q(g). What is s in p(s) = 0?
-1, 0
Let n(l) be the second derivative of l**7/5040 + l**6/540 + l**5/240 + 7*l**3/3 + 11*l. Let k(f) be the second derivative of n(f). Factor k(t).
t*(t + 1)*(t + 3)/6
Let r be (4/(-2))/((-6)/(-24)*-2). Factor -2*i - 6*i**2 + i**3 - i + 0*i**3 - r*i**3.
-3*i*(i + 1)**2
Let r(m) be the second derivative of -m**4/72 - 5*m**3/2 - 675*m**2/4 - 523*m. Let r(w) = 0. What is w?
-45
Let o = -38 - -16. Let j = 68/3 + o. Determine c, given that -18*c - j*c**3 - 6*c**2 - 18 = 0.
-3
Let m(a) be the first derivative of -15*a**4/4 - 145*a**3/3 - 95*a**2 + 80*a + 98. Factor m(o).
-5*(o + 2)*(o + 8)*(3*o - 1)
Let g be (2/(-3)*-1)/((-24)/(-468)). Factor -g - 2*t**2 + 14 + t**2.
-(t - 1)*(t + 1)
Factor 58*m**3 + 132*m**3 - 62*m**3 - 1024*m**2 - 4*m**4.
-4*m**2*(m - 16)**2
Let n(f) be the third derivative of -f**7/70 - 3*f**6/40 + f**5/2 - 18*f**2 - 1. What is r in n(r) = 0?
-5, 0, 2
Suppose -5 - 11/2*w - 1/2*w**2 = 0. Calculate w.
-10, -1
Let q(p) be the third derivative of 0*p**4 - 2*p**2 + 0 + 0*p**3 + 0*p + 1/720*p**6 - 1/180*p**5. Solve q(c) = 0.
0, 2
Let s be (-1 - 1)*3/(-4). Let u = -6/11429 - -11447/34287. Factor -1/2*o**3 + s*o**4 + 0*o + 0 - u*o**2.
o**2*(3*o - 2)*(3*o + 1)/6
Let v = -86 - -89. Let o be ((-25)/v)/(-5)*9/6. Factor 1 - 7/2*z**2 + o*z.
-(z - 1)*(7*z + 2)/2
Determine k so that 72/19*k + 648/19 + 2/19*k**2 = 0.
-18
Let g(f) = f - 9. Let k be g(8). Let t = 5 + k. Suppose o**5 + o**t + 0*o**5 - 3*o**2 + 3*o**2 = 0. What is o?
-1, 0
Let u(z) = 9*z**2 + 8*z - 1. Let n(i) = 0 + 1 - 2 + 30*i - 18*i + 13*i**2. Let m(d) = -5*n(d) + 7*u(d). Suppose m(s) = 0. What is s?
-1
Suppose -98 + 220 = 4*c + p, 26 = 2*c - 3*p. Factor -9/2 - 8*n**4 - c*n**3 - 73/2*n**2 - 21*n.
-(n + 1)**2*(4*n + 3)**2/2
Let j(w) be the second derivative of w**6/6 + 3*w**5/10 - 5*w**4/4 - 14*w**3/3 - 6*w**2 - 223*w. Factor j(d).
(d - 2)*(d + 1)**2*(5*d + 6)
Let q(r) be the second derivative of r + 0 + 1/30*r**4 - 2/25*r**5 + 4/15*r**3 - 1/5*r**2. Factor q(y).
-2*(y - 1)*(y + 1)*(4*y - 1)/5
Let q(t) be the third derivative of t**5/420 - t**4/28 - 8*t**3/21 + 368*t**2. Find g, given that q(g) = 0.
-2, 8
Solve -2/17*p**4 + 0*p - 12/17*p**2 + 0 - 10/17*p**3 = 0.
-3, -2, 0
Factor -2/15*c**2 - 56/15 + 58/15*c.
-2*(c - 28)*(c - 1)/15
Let q be 1/(-5) - 133/35. Let n be 15/(-9) + q*2/(-4). Factor -t**2 + 4/3 + 0*t + n*t**3.
(t - 2)**2*(t + 1)/3
Let n(a) be the first derivative of 19/24*a**3 + 3/4*a**2 + 8 - 1/2*a - 3/8*a**4. Determine u, given that n(u) = 0.
-2/3, 1/4, 2
Let r = -1379 + 1383. Let z(o) be the third derivative of -4*o**2 - 1/48*o**6 + 0 + 0*o**3 + 0*o + 0*o**r + 1/60*o**5. Factor z(h).
-h**2*(5*h - 2)/2
Let m be 4 + -7 + 14/6 - -2. Let k be (-12)/(-7) + -2 + 992/336. Solve -m*o**2 - k*o - 2/9*o**3 - 16/9 = 0.
-2
Suppose -3*i - 4*z = 11, -2*i + i = -4*z - 23. What is a in 21*a**2 + 8*a**3 - 12*a**i + 2*a - 8*a + 15