-5). Let v(h) be the first derivative of 1/18*h**4 + 2/27*h**3 - 7 - 1/9*h**p - 2/45*h**5 + 0*h. Solve v(a) = 0 for a.
-1, 0, 1
Let b(r) be the second derivative of -1/15*r**5 - 5/36*r**4 + 0*r**2 - 1/18*r**3 + 0 - 7*r. Factor b(q).
-q*(q + 1)*(4*q + 1)/3
Let z(d) be the third derivative of -d**7/490 + d**6/280 + d**5/70 + 4*d**2 + 6. Factor z(m).
-3*m**2*(m - 2)*(m + 1)/7
Let l(c) be the first derivative of c**3 - 11 + 0*c + 3/2*c**2. Factor l(j).
3*j*(j + 1)
Let a = -6 - -10. Suppose -4*s - 4*l = a, 2*l = -s + 4*s - 2. Let 0*g**3 + s - 3/5*g**5 - 6/5*g**2 + 6/5*g**4 + 3/5*g = 0. What is g?
-1, 0, 1
Suppose 0 = 5*o + 4*g + 10, -o - 23 = 6*g - g. Let b(s) be the first derivative of 2/7*s**2 - o - 1/7*s**4 + 4/21*s**3 - 4/7*s. Factor b(z).
-4*(z - 1)**2*(z + 1)/7
Let n(u) be the second derivative of 3*u**5/140 + 39*u**4/28 - u**3/14 - 117*u**2/14 + 18*u. Factor n(d).
3*(d - 1)*(d + 1)*(d + 39)/7
Let o(i) = -i + 19. Let q be o(19). Suppose q = 3*t + 5*f - 26, -8*t = -6*t + f - 8. Factor -8/3*v**t - v**3 + 2/3 - v.
-(v + 1)*(v + 2)*(3*v - 1)/3
Suppose 4 = -2*y + 10. Let t = -894 + 897. Suppose t*m**y + 20*m**2 - 11*m - 4*m**4 - 7*m**3 + 0*m**2 - m = 0. Calculate m.
-3, 0, 1
Let a(m) be the second derivative of m**4/54 - 7*m**3/27 - 8*m**2/9 + 467*m. Factor a(y).
2*(y - 8)*(y + 1)/9
Let n(z) be the third derivative of -z**6/30 + 14*z**5/15 - 49*z**4/6 + 42*z**2. What is q in n(q) = 0?
0, 7
Let 0 + 1/4*k**4 - 3/4*k**2 + 0*k + 1/2*k**3 = 0. Calculate k.
-3, 0, 1
Let n(h) be the second derivative of -4*h**6/15 - 7*h**5/5 - 2*h**4 + 2*h**3/3 + 4*h**2 - 2*h + 10. Suppose n(r) = 0. What is r?
-2, -1, 1/2
Let q(g) be the first derivative of -5*g**4/4 - 20*g**3/3 + 5*g**2/2 + 20*g - 376. Solve q(z) = 0 for z.
-4, -1, 1
Let r(i) be the second derivative of i**6/60 - i**5/40 - i**4/24 + i**3/12 - 2*i - 16. Let r(m) = 0. Calculate m.
-1, 0, 1
Let f(w) = w**3 - 4*w**2 + 4*w - 14. Let y be f(6). Let x = -244/3 + y. Factor -2/3*j**2 + 0*j**3 + x*j**4 + 0*j + 0.
2*j**2*(j - 1)*(j + 1)/3
Let t be (11/(440/(-16)))/(14/(-30)). Find x, given that 3*x**2 - 15/7*x - t = 0.
-2/7, 1
Suppose 7*f - 8*f - 4*m - 4 = 0, 0 = 4*m + 4. Let c(q) be the second derivative of -1/3*q**3 - 7*q + 1/12*q**4 + 0 + 1/20*q**5 + f*q**2. Factor c(s).
s*(s - 1)*(s + 2)
Suppose 103 = -s - 2*s - p, 5*s = -5*p - 185. Let g be 308/6 - 22/s. Suppose -2*x**3 - 3*x**3 - 52*x + g*x + 5*x**4 = 0. Calculate x.
0, 1
Let l be (-6)/8 + (-35)/(-20). Let n = l + 2. Factor 34*z**n + 26*z**3 + 9*z**2 - 4*z - 2*z + 0*z.
3*z*(4*z - 1)*(5*z + 2)
Let g = -7552 - -7555. Find m, given that -m**g + 8/3*m**2 + 0 - 4/3*m = 0.
0, 2/3, 2
Let m be (1/1)/(4/8). Suppose -5 + p + 13*p**m + 9*p**4 - 21*p**3 - 6 + 9 = 0. What is p?
-1/3, 2/3, 1
Let k = -51 + 53. Suppose 0 = -2*y - 4, 0 = 4*m - 4*y + k - 22. Find h, given that 0*h + 0*h**2 - 2/5*h**m + 0 - 2/5*h**4 = 0.
-1, 0
Let a be 2 - ((-8)/(-4))/(-2). Suppose -12 = -a*m - 3*m. Factor 6*l**2 - 15*l - 16*l**m + 10*l.
-5*l*(2*l + 1)
Let w(a) be the first derivative of 0*a - 40 - 1/3*a**3 + a**2 - 1/2*a**4 + 1/5*a**5. Determine v, given that w(v) = 0.
-1, 0, 1, 2
Let x(a) be the first derivative of 7*a**3 + 171*a**2 + 96*a - 103. Factor x(p).
3*(p + 16)*(7*p + 2)
Let h(r) = 1. Let l = -375 + 376. Let g(y) be the third derivative of y**5/15 - 2*y**4/3 + 11*y**3/3 + y**2. Let t(b) = l*g(b) - 10*h(b). Factor t(p).
4*(p - 3)*(p - 1)
Suppose 25/11*m**2 - 47/11*m + 23/11 - 1/11*m**3 = 0. What is m?
1, 23
Let s(b) = -42*b**2 + b. Let a(d) = -21*d**2. Suppose 13 + 26 = -3*n. Let q(k) = n*a(k) + 6*s(k). Factor q(v).
3*v*(7*v + 2)
Let m(z) be the first derivative of z**4/18 + 10*z**3/9 - 16*z**2/9 + 91. Factor m(f).
2*f*(f - 1)*(f + 16)/9
Let c = -1 + -34. Let z be (-6)/14 - 29/c. Factor 0*h - 2/5 + z*h**2.
2*(h - 1)*(h + 1)/5
Let p(o) be the third derivative of o**6/360 - o**5/45 + o**4/18 + 5*o**2 + 22*o. Factor p(l).
l*(l - 2)**2/3
Let q(o) = 7*o**3 - 19*o**2 + 29*o - 23. Let s(f) = 6*f**3 - 19*f**2 + 30*f - 22. Let m(c) = -5*q(c) + 6*s(c). Let m(j) = 0. Calculate j.
1, 17
Let m be 0 + 4 - (98 + -97). Let 0 + 0*w + 1/2*w**2 - 1/2*w**m = 0. Calculate w.
0, 1
Factor -59*f**2 + 74*f**2 - 5*f**3 - 146*f + 166*f.
-5*f*(f - 4)*(f + 1)
Let x(l) be the third derivative of -l**8/50400 + l**7/2520 - l**6/300 + l**5/5 + 12*l**2. Let q(g) be the third derivative of x(g). Find y such that q(y) = 0.
2, 3
What is k in 1/3*k**3 + 1/3*k**4 - 13/3*k**2 + 4 - 1/3*k = 0?
-4, -1, 1, 3
Let t = -103 - -114. Factor -58 - t*a - 29*a - 4*a**2 - 42.
-4*(a + 5)**2
Let y(a) be the first derivative of a**4/20 - 13*a**3/15 - 24*a**2/5 - 612. What is x in y(x) = 0?
-3, 0, 16
Let t(s) = -s. Let z be t(-7). Let l(y) = y**2 - 6*y - 4. Let v be l(z). Factor 1 + 18*n**2 + 17*n - 3 + 5 + 12*n**v + 3*n**4 - 5*n.
3*(n + 1)**4
Let j(m) = 29*m**4 - 49*m**3 + 29*m**2 + 9. Let b(g) = -1271 + 1269 + 8*g**3 + 4*g**3 - 7*g**4 - 7*g**2. Let k(w) = 9*b(w) + 2*j(w). Factor k(s).
-5*s**2*(s - 1)**2
Let j(y) be the first derivative of -y**6/6 - 7*y**5/15 + y**4/6 + 2*y**3 + 14*y**2 + 2. Let z(k) be the second derivative of j(k). What is a in z(a) = 0?
-1, 3/5
Let h(t) be the second derivative of -t**5/10 + 4*t**4/3 - 5*t**3/3 - 14*t**2 - 32*t - 3. Factor h(v).
-2*(v - 7)*(v - 2)*(v + 1)
Let s(t) = t**3 - 1. Let k(c) = 24*c**3 - 4*c**2 - 10. Let i be (1/3)/((-9)/(-270)). Let f(a) = i*s(a) - k(a). Find d such that f(d) = 0.
0, 2/7
Let o(c) be the second derivative of -c**4/12 - 13*c**3/6 - 20*c**2 - 20*c. Find y such that o(y) = 0.
-8, -5
Let z(j) be the third derivative of -j**5/90 - j**4 - 4*j**2 - 3. Factor z(x).
-2*x*(x + 36)/3
Let o(k) be the third derivative of -k**7/140 + k**6/20 - k**4 + 4*k**3 + 14*k**2 + 3. Let o(p) = 0. What is p?
-2, 2
Suppose 0 = 4*i, -7*n + 3*i = -2*n - 15. Let f(s) = 4*s - 10. Let l be f(3). Factor -2/3*a**n - l*a**2 - 2*a - 2/3.
-2*(a + 1)**3/3
Let d(q) = q**2 - 17*q + 18. Let k be d(16). Solve 4*s**2 + k*s**2 - 8*s**2 + 8*s = 0 for s.
0, 4
Let p(m) be the second derivative of 507*m**5/20 - 221*m**4/4 + 28*m**3 - 6*m**2 + 7*m. Factor p(x).
3*(x - 1)*(13*x - 2)**2
Factor 4*w**3 - 164*w + 68*w + 50*w**2 + w**2 - 11*w**2.
4*w*(w - 2)*(w + 12)
Let q(h) be the third derivative of h**7/420 - h**6/60 - h**5/60 + h**4/4 + h**3/3 - h**2. Let b(m) be the first derivative of q(m). Let b(g) = 0. Calculate g.
-1, 1, 3
Let s(l) = l + 1. Let a(x) = -5*x - 5. Let n(p) = a(p) + 4*s(p). Let d(k) = k**2 - 5*k - 2. Let t(m) = 3*d(m) - 6*n(m). Determine v, given that t(v) = 0.
0, 3
Let t(o) = -o**2 - 15*o + 5. Let a be t(-14). Let 4*m**4 + 4*m**3 + 8*m**2 - 4*m + 7*m**2 - a*m**2 = 0. What is m?
-1, 0, 1
Suppose 17*a = -30*a + 16*a. Suppose -2/5*m**4 + 4/5*m**3 + a*m**2 + 0 - 2/5*m**5 + 0*m = 0. What is m?
-2, 0, 1
Let p(l) be the first derivative of l**6/1440 + l**5/20 + 3*l**4/2 + 56*l**3/3 + 54. Let q(o) be the third derivative of p(o). Factor q(x).
(x + 12)**2/4
Factor 20*c + 127*c**5 + 5*c - 80*c**2 + 9 - 40*c**4 + 90*c**3 - 122*c**5 - 9.
5*c*(c - 5)*(c - 1)**3
Solve 0 - 21*v**4 + v**4 + 4*v**5 + 16 + 6*v - 38*v + 4*v**2 + 28*v**3 = 0 for v.
-1, 1, 2
Let g be (-4)/(-15)*8/((-128)/(-3)). Let a(i) be the third derivative of 0*i + 0*i**3 + 0 + 6*i**2 + g*i**4 - 1/100*i**5. Solve a(w) = 0 for w.
0, 2
Let i(n) be the second derivative of -n**4/3 + 8*n**3 + 4*n + 17. Factor i(c).
-4*c*(c - 12)
Factor 1272/11*b + 144/11 + 4200/11*b**4 + 4204/11*b**2 + 6330/11*b**3 + 1000/11*b**5.
2*(2*b + 3)**2*(5*b + 2)**3/11
Let l = 285 + -287. Let r be (-2)/(-6) + (-2)/(l + 44). Factor 10/7*d + 4/7 + 8/7*d**2 + r*d**3.
2*(d + 1)**2*(d + 2)/7
Let k = 349/1140 - 3/76. Factor 2/15*h**2 + 2/15 + k*h.
2*(h + 1)**2/15
Suppose -5 = 5*a, -8 = -4*x - 4*a - 0*a. Suppose x*b = 9, 3*r - 4*b = -b + 6. Factor -2*n**2 + 5*n**r - 9*n**3 + 5*n**2 + 7*n**5.
3*n**2*(n + 1)*(2*n - 1)**2
Let n(c) be the second derivative of -18*c + 0 + 3*c**3 - 8*c**2 - 1/6*c**4. Factor n(y).
-2*(y - 8)*(y - 1)
Let u(m) be the first derivative of -m**5/25 - m**4/10 + m**3/15 + m**2/5 + 106. Factor u(b).
-b*(b - 1)*(b + 1)*(b + 2)/5
Let k(y) = -25*y**2 + 3*y. Let d(t) = t**3 - 51*t**2 + 7*t. Let u(p) = 4*d(p) - 7*k(p). Factor u(n).
n*(n - 7)*(4*n - 1)
Let z(f) be the first derivative of 0*f - 23 + 0*f**5 + 0*f**2 + 1/10*f**4 - 1/15*f**6 + 0*f**3. Factor z(i).
-2*i**3*(i - 