*2 - z*s = 0.
-1, 0, 1
Suppose 32*h = 60*h - 140. Let w(g) be the first derivative of 0*g - 2*g**3 + 4 + 6/5*g**h + 2/3*g**6 - g**2 - 1/2*g**4. Solve w(z) = 0.
-1, -1/2, 0, 1
Let h(n) be the second derivative of -n**6/24 + n**5/12 - 7*n**2/2 - 2*n. Let r(t) be the first derivative of h(t). Factor r(z).
-5*z**2*(z - 1)
Let h(u) = 16*u**4 + 38*u**3 - 12*u**2 - 58*u + 10. Let a(z) = -z**3 + z - 1. Let k(r) = 6*a(r) - h(r). Determine y so that k(y) = 0.
-2, 1/4, 1
Let c = -61/7 + 563/63. Let u = -31/17 + 347/153. Find h, given that 0*h - u*h**3 + c*h**2 + 2/9*h**4 + 0 = 0.
0, 1
Let y(c) be the third derivative of -c**5/120 - 11*c**4/48 - 39*c**2. Factor y(p).
-p*(p + 11)/2
Factor -3/7*c**2 + 78/7*c - 507/7.
-3*(c - 13)**2/7
Let h(m) = -m - 1. Let o be h(15). Let r = o + 65/4. Factor 1/4*u**2 + r*u + 0.
u*(u + 1)/4
Factor 1/3*o**2 - 1 - 2/3*o.
(o - 3)*(o + 1)/3
Let d(s) be the second derivative of 2*s**7/21 + 2*s**6/15 - 3*s**5/5 - s**4/3 + 4*s**3/3 + s - 65. Factor d(t).
4*t*(t - 1)**2*(t + 1)*(t + 2)
Let i(z) = 10*z**2 + 49*z + 90. Let o(s) = -s**2 - s**2 - 4*s - 18 - 6*s. Let j = 498 + -487. Let a(c) = j*o(c) + 2*i(c). Suppose a(h) = 0. What is h?
-3
Let r(n) be the second derivative of n**5/5 - 26*n**4/3 - 170*n**3/3 - 116*n**2 + 356*n. Determine p, given that r(p) = 0.
-2, -1, 29
Suppose 9*t = 13*t - 8. Factor 7*a**4 + 23*a**3 + 2*a + 0*a**4 + 0*a**2 + t + 11*a + 27*a**2.
(a + 1)**3*(7*a + 2)
Suppose 5*h = 2*f + 17, 3*f + 2*f + 3*h + 27 = 0. Let y(n) = -26*n**2 - 10*n - 35. Let l(d) = -9*d**2 - 3*d - 12. Let a(c) = f*y(c) + 17*l(c). Factor a(q).
3*(q + 1)*(q + 2)
Let q be (0 - (-5)/6)/(-2*35/(-126)). Determine t so that -q*t**3 - 6 - 3*t**2 + 21/2*t = 0.
-4, 1
Let f(v) be the second derivative of -5*v**8/672 - 11*v**7/504 + v**6/144 + v**5/12 - 5*v**4/4 + 22*v. Let s(h) be the third derivative of f(h). Factor s(g).
-5*(g + 1)*(2*g + 1)*(5*g - 2)
Let q(p) be the third derivative of p**5/30 + 7*p**4/4 - 46*p**3/3 - 29*p**2. Factor q(z).
2*(z - 2)*(z + 23)
Let n = -29 + 31. Factor 3*p - 1 + p**2 + p**2 - 3*p**3 - p**n.
-(p - 1)*(p + 1)*(3*p - 1)
Let p(j) be the second derivative of -j**5/20 - j**4/2 - 5*j**3/6 + 2*j - 5. Let p(x) = 0. Calculate x.
-5, -1, 0
Suppose -34 = -5*j + 1. Factor -2*p**5 + 5*p**3 - 10*p**3 + j*p**5 - 10*p**4 + 10*p**2 + 0*p**3.
5*p**2*(p - 2)*(p - 1)*(p + 1)
Let c(v) = 99*v - 2. Let a be c(1). Factor -a*t**2 + 2*t + 98*t**2 + 2*t + 4.
(t + 2)**2
Let r(g) be the third derivative of g**10/100800 - g**9/10080 + g**8/4480 - g**5/3 + 6*g**2. Let d(q) be the third derivative of r(q). Solve d(u) = 0 for u.
0, 1, 3
Suppose 20/3*s**2 + 16/3*s**3 + 4/3*s**4 + 0 + 8/3*s = 0. What is s?
-2, -1, 0
Let i(j) = -9*j**3 - 40*j**2 + 31*j - 51. Let d(k) = k**3 + 5*k**2 - 4*k + 6. Let t(l) = 51*d(l) + 6*i(l). Suppose t(q) = 0. What is q?
0, 2, 3
Let f = 686/3 + -228. Let x(a) be the first derivative of 5 + f*a + 1/6*a**2 - 1/9*a**3. Factor x(t).
-(t - 2)*(t + 1)/3
Suppose 2*g + 3*i + 331 = 0, 0 = -3*g + 5*i - 2*i - 534. Let l = 347/2 + g. Determine x so that 2*x + l*x**2 - 2 - 1/2*x**3 = 0.
-2, 1, 2
Factor 0*p + 1/2*p**4 - p**3 - 2*p**2 + 1/4*p**5 + 0.
p**2*(p - 2)*(p + 2)**2/4
Suppose -v + 0 = -63. Suppose -m + x = -v, -m + 4*x = 15 - 75. Factor 2*b - 3*b**3 + 2*b**3 - 65*b**2 + m*b**2.
-b*(b - 1)*(b + 2)
Let g(f) be the second derivative of -4/35*f**5 + 9/7*f**2 - 3*f + 16/105*f**6 + 0 + 2/7*f**3 - 23/42*f**4. Factor g(q).
2*(q - 1)**2*(4*q + 3)**2/7
Let h(g) be the first derivative of 2/27*g**3 - 9 - 2/9*g + 1/18*g**4 - 1/9*g**2. Suppose h(o) = 0. Calculate o.
-1, 1
Let k(n) be the second derivative of -n**6/120 + 31*n**5/40 - 961*n**4/48 - 172*n. Solve k(u) = 0 for u.
0, 31
Let o = 308 + -308. What is u in -3/4*u**4 + 5/4*u**3 - 1/4*u**2 - 1/4*u + o = 0?
-1/3, 0, 1
Factor 79 - 128 - 8*o**2 + 69 - 14*o + 2*o**3.
2*(o - 5)*(o - 1)*(o + 2)
Factor -3/2*j**4 + 3/2*j**2 + 0 - 3*j**3 + 3*j.
-3*j*(j - 1)*(j + 1)*(j + 2)/2
Factor -9/5*g**2 + 474/5*g + 159/5.
-3*(g - 53)*(3*g + 1)/5
Factor 49*y**2 + 4*y**5 + 15*y**2 + 48*y - 39*y**3 - 24*y**4 + 27*y**3.
4*y*(y - 6)*(y - 2)*(y + 1)**2
Let q(d) be the third derivative of d**8/112 + d**7/10 + 3*d**6/8 + 9*d**5/20 - 19*d**2. Determine u so that q(u) = 0.
-3, -1, 0
Let i(w) be the second derivative of -w**7/21 - 2*w**6/15 + 3*w**5/10 + 4*w**4/3 + 4*w**3/3 - 3*w. Find z, given that i(z) = 0.
-2, -1, 0, 2
Let s = -63 - -73. Factor -g**3 - 270 + 275 - s*g + 11*g**3 - g**4 - 4*g**4.
-5*(g - 1)**3*(g + 1)
Let l(h) be the second derivative of h**5 - 11*h**4 - 36*h**3 - 32*h**2 + 7*h + 6. Let l(v) = 0. Calculate v.
-1, -2/5, 8
Let i(s) = -3*s**3 + 2*s**2 + 3*s**2 + 3 + s**3 - 2*s. Let t be (-3)/1*(4 - 8)/(-4). Let z(k) = -k**3 + k**2 - k + 1. Let g(a) = t*z(a) + i(a). Factor g(q).
q*(q + 1)**2
Let t be (0 + -1)/((-1)/(-4)). Let h be t + 256/60 + (-2)/(-5). What is n in -4/3 + 2*n - h*n**2 = 0?
1, 2
Let b(k) be the first derivative of -k**8/5040 - k**7/1260 - k**6/1080 + 7*k**3 + 23. Let n(z) be the third derivative of b(z). Factor n(m).
-m**2*(m + 1)**2/3
Let i(n) be the second derivative of -n**6/30 - n**5/10 + 7*n**4/12 - 2*n**3/3 + 50*n. Find f such that i(f) = 0.
-4, 0, 1
Let h(p) = -p**3 + p**2 + 3. Let s(u) = -4*u**3 + 6*u**2 + 4*u + 9. Let l(g) = -3*h(g) + s(g). Factor l(c).
-c*(c - 4)*(c + 1)
Let z(f) = f**3 - 13*f**2 - 15*f + 12. Let i be z(14). Let q be (i/5 - 16/60)*-3. Factor -1/2*r**q - 5/8*r - 1/8*r**3 - 1/4.
-(r + 1)**2*(r + 2)/8
Let a be 4/(-2)*2/(-2). Let n be (-1 + 3/a)/((-11)/(-4)). Find l such that -6/11*l + 0*l**2 - n + 8/11*l**3 = 0.
-1/2, 1
Let l(b) be the third derivative of b**6/140 + b**5/42 - b**4/42 - 4*b**2 + 13*b. Find m, given that l(m) = 0.
-2, 0, 1/3
Let b(w) = w**2 - 14*w - 3. Let o(n) = 5*n + 1. Let z(j) = 2*b(j) + 7*o(j). Let d = -15 - -17. Let x(i) = -i + 1. Let f(h) = d*x(h) - 2*z(h). Factor f(t).
-4*t*(t + 4)
Let k(n) be the first derivative of n**5/5 - 2*n**4 + 7*n**3/3 - 246. Factor k(s).
s**2*(s - 7)*(s - 1)
Suppose 3*h - 4 - 35 = 0. Factor m**2 + m**5 + 3*m**2 - 2*m**3 - h*m**5 - 16*m**4 + 2*m**5.
-2*m**2*(m + 1)**2*(5*m - 2)
Suppose 9*l - 31*l = -110. Determine k so that 2/5*k**4 + 2/5*k**l + 2/5 + 2/5*k - 4/5*k**2 - 4/5*k**3 = 0.
-1, 1
What is a in 86/13*a**2 - 112/13*a - 8/13*a**3 - 6/13*a**4 + 40/13 = 0?
-5, 2/3, 1, 2
Let t(w) be the first derivative of -1/9*w**3 + 1/90*w**5 - 1/360*w**6 - 7 + 0*w + 2*w**2 + 1/72*w**4. Let l(k) be the second derivative of t(k). Factor l(m).
-(m - 2)*(m - 1)*(m + 1)/3
Let o(q) = -176*q**2 - 14660*q - 1498176. Let t(w) = -19*w**2 - 1629*w - 166464. Let c(k) = 3*o(k) - 28*t(k). Find n, given that c(n) = 0.
-204
Let f(a) be the first derivative of 3*a**4/4 - 387*a**3 + 149769*a**2/2 - 6440067*a - 570. Factor f(w).
3*(w - 129)**3
Let b = 128916/11 - 11718. Find c, given that -2/11*c**2 - 12/11*c - b = 0.
-3
Solve -1824*p**4 - 16369*p**3 - 36000 + 85200*p - 973*p**5 + 13*p**3 + 909*p**5 - 36280*p**2 = 0.
-10, 3/4
Let u(f) = 19 + 4*f**3 + 9*f**2 - 15 - 2*f**3 - 5*f. Let k be u(-5). Let d**2 + 0*d - 1/2*d**k + 0 + 1/2*d**3 = 0. What is d?
-1, 0, 2
Let q(t) be the third derivative of -t**6/320 + t**5/40 + 5*t**4/64 + 259*t**2. What is y in q(y) = 0?
-1, 0, 5
Let d(z) be the second derivative of z**4/18 + 23*z**3/9 + 22*z**2/3 + 4*z. Factor d(p).
2*(p + 1)*(p + 22)/3
Let j be 3*-2*-1*8/12. Solve 5*d**2 - 9*d + 3*d**2 + 6 - 9*d**2 + j*d**2 = 0 for d.
1, 2
Let u(c) = c**3 - c**2 - c. Let k(a) = 7 - 5*a - a**2 + a**2 + a**2 + a**3 - 6. Let v(h) = h + 1. Let d be v(1). Let b(m) = d*k(m) - 4*u(m). Factor b(y).
-2*(y - 1)**3
Let i(m) = -m**2 - 10*m. Let o be i(0). Let c(b) be the second derivative of -1/2*b**3 + 9*b + o - 1/80*b**5 - 1/8*b**4 - b**2. Let c(q) = 0. Calculate q.
-2
Let c(r) be the first derivative of r**5/210 - r**3/21 - 10*r**2 + 9. Let s(o) be the second derivative of c(o). Factor s(v).
2*(v - 1)*(v + 1)/7
Let h be (-4*99/88)/((-6)/4). Factor -70/3*q**2 - 16*q**h + 0 + 50/3*q + 24*q**4.
2*q*(q + 1)*(6*q - 5)**2/3
Let m(l) = 2*l**2 + 63*l + 38. Let i be m(-31). Suppose -5*r + 8 = -i, -2*r = -3*b + 3. Suppose 2/9*u**b + 2/3*u**2 + 4/9 - 2/9*u**4 - 10/9*u = 0. What is u?
-2, 1
Let q(m) = m**3 - 11*m**2 - 13*m - 3. Let t be q(12). Let x be -5*(-11 - t)*2/(-20). Factor -8/3 - 2/3*k**x - 8/3*k.
-2*(k + 2)**2/3
Factor 4*r**3 + 36*