 0 = 22*h + 21 - 109. Let m(p) be the first derivative of -1 - 3/5*p**5 + 12*p - 3*p**3 - 6*p**2 + 3*p**h. Solve m(z) = 0 for z.
-1, 1, 2
Let z(y) be the first derivative of y**4/2 + 5*y**3/9 - y**2/3 - y/3 - 88. Solve z(j) = 0 for j.
-1, -1/3, 1/2
Factor 0 - 64/3*l**2 + 0*l + 4/3*l**3.
4*l**2*(l - 16)/3
Let k(n) = 13*n**3 + 93*n**2 - 208*n + 80. Let v(u) = 285*u**3 + 2045*u**2 - 4585*u + 1760. Let j(c) = 45*k(c) - 2*v(c). Factor j(q).
5*(q - 1)*(q + 8)*(3*q - 2)
Suppose -44 - 19 = -7*g. Suppose 0 = g*q - q - 24. Suppose 16/9 - 2/3*i**5 - 26/9*i**q + 40/9*i - 4*i**2 + 28/9*i**4 = 0. What is i?
-1, -1/3, 2
Factor -6*h**4 + 2*h**2 - 3*h - 3*h + 3*h**3 + h**4 + 6*h.
-h**2*(h - 1)*(5*h + 2)
Let s(z) be the third derivative of -7*z**5/15 - 4*z**4/3 - 2*z**3/3 - 169*z**2. Suppose s(f) = 0. What is f?
-1, -1/7
Let s = -213 - -218. Let l(d) be the second derivative of -1/42*d**4 + 0 + 1/105*d**6 + 0*d**2 - 3*d - 1/70*d**s + 1/21*d**3. Factor l(v).
2*v*(v - 1)**2*(v + 1)/7
Let c = 88 - 85. Suppose -78 + w - 11*w - c*w**3 + 39*w**2 - 69 - 95*w = 0. Calculate w.
-1, 7
Let n(r) be the first derivative of -118/3*r**3 - 6*r**2 + 16*r - 61/2*r**4 + 7/3*r**6 - 18/5*r**5 - 42. Let n(h) = 0. Calculate h.
-1, 2/7, 4
Let c(p) = -7*p**2 - 5*p. Let q(n) = -n**2 - 4*n. Let j(s) = -s**2 - 2*s. Let w(d) = 10*j(d) - 4*q(d). Let x(h) = 5*c(h) - 6*w(h). What is z in x(z) = 0?
0, 1
Factor -3/2*k - 3/4*k**2 + 0.
-3*k*(k + 2)/4
Factor 7 - 4 + 126*a + 24 + 12*a**3 + 43*a**2 + 32*a**2.
3*(a + 3)**2*(4*a + 1)
Let p(i) be the second derivative of -i**4/30 + 6*i**3/5 + 8*i**2 - 4*i - 8. Determine j so that p(j) = 0.
-2, 20
Let -3/4*r - 9/4 + 17/4*r**2 - 5/4*r**3 = 0. What is r?
-3/5, 1, 3
Let d(f) = -6 + 5*f**2 - 2*f**2 - 2*f**2 + 7*f. Let p(h) = -2*h**2 - 15*h + 13. Let q(o) = o + 1. Let z be q(12). Let t(x) = z*d(x) + 6*p(x). Factor t(r).
r*(r + 1)
Let v = -2401 - -2404. Factor -2/11*m + 8/11 + 2/11*m**v - 8/11*m**2.
2*(m - 4)*(m - 1)*(m + 1)/11
Let i be (-6 - 1 - 3)*9/(-15). Let c(l) be the third derivative of 0 + 1/30*l**3 - 1/300*l**5 + 1/600*l**i + 0*l - 5*l**2 - 1/120*l**4. Factor c(n).
(n - 1)**2*(n + 1)/5
Suppose 2*p = -4*k + 30, 5*p = -2*k - 0*k + 35. Suppose -4*r = 4*t - 3*t - 12, 3*r - 2*t = -2. Factor -8*b - k*b**2 - 3*b**2 + 4*b**r.
-4*b*(b + 2)
Let v(h) be the third derivative of 1/120*h**6 + 0*h + 1/42*h**7 + 0 - 11*h**2 + 0*h**3 + 0*h**5 + 1/84*h**8 + 0*h**4. What is r in v(r) = 0?
-1, -1/4, 0
Let d = -146 + 146. Let j(u) be the second derivative of 0 + d*u**2 + 3/8*u**4 + 5*u + 1/4*u**3. Factor j(q).
3*q*(3*q + 1)/2
Let x(b) be the second derivative of b**7/14 - 13*b**6/10 + 33*b**5/10 + 13*b + 6. Factor x(c).
3*c**3*(c - 11)*(c - 2)
Let a be (-6)/9 + 14/3. Determine m so that 0*m**4 + 13*m**4 + a*m**3 - 9*m**4 = 0.
-1, 0
Let i(c) = -5*c**3 + 20*c**2 - 15*c. Let t(f) = 8*f**3 - 30*f**2 + 22*f. Suppose d - 40 = -33. Let b(s) = d*i(s) + 5*t(s). Factor b(a).
5*a*(a - 1)**2
Let x(s) = -2*s + 3*s**3 + 2*s + 3*s + 3*s**2 - 3. Let a(h) = -h**5 - 3*h**3 - 4*h**2 - 4*h + 4. Let w(o) = 3*a(o) + 4*x(o). Determine d, given that w(d) = 0.
-1, 0, 1
Let w(n) be the second derivative of n**6/120 - n**5/8 + 3*n**4/4 - 7*n**3/3 + 4*n**2 - 4*n - 16. Factor w(r).
(r - 4)*(r - 2)**3/4
Solve -310/17*s - 4/17*s**2 + 156/17 = 0.
-78, 1/2
Suppose 0 = 111*z - 110*z - 16. Suppose 10*u = z + 24. Factor 1/2 + a**3 - 1/2*a - a**2 - 1/2*a**5 + 1/2*a**u.
-(a - 1)**3*(a + 1)**2/2
Find w, given that 1/4 - 3/8*w + 1/8*w**2 = 0.
1, 2
Let x be (-84 - 0)*6/(-8). Let r = 67 - x. Factor 0 - 8/7*i + 50/7*i**r + 48/7*i**2 - 90/7*i**3.
2*i*(i - 1)*(5*i - 2)**2/7
Let z(o) be the second derivative of -o**9/18144 + o**8/10080 + o**7/5040 - o**6/2160 + o**3 + 2*o. Let r(g) be the second derivative of z(g). Factor r(l).
-l**2*(l - 1)**2*(l + 1)/6
Let o(d) be the second derivative of -d**4/48 + d**3/8 - d**2/4 + 113*d. Solve o(u) = 0.
1, 2
Suppose -23*r + 60 = -3*r. Let l(o) be the third derivative of 0*o + 1/24*o**3 + 0 + 1/48*o**4 + 1/240*o**5 - r*o**2. Factor l(p).
(p + 1)**2/4
Let t(w) be the second derivative of 1/100*w**5 + 3/10*w**3 - 1/10*w**4 - 2/5*w**2 + 0 - 10*w. Factor t(n).
(n - 4)*(n - 1)**2/5
What is v in 0 - 2/9*v**2 + 4/9*v = 0?
0, 2
Let r(c) be the first derivative of -40/7*c - 6/7*c**3 - 24/7*c**2 - 1/14*c**4 - 15. Let r(n) = 0. What is n?
-5, -2
Let r be 12*(18/20 + (-10)/25). Let w(i) = -2*i**3 + 16*i**2 - 37*i + 31. Let d(h) = h**3 - 8*h**2 + 18*h - 15. Let u(s) = r*w(s) + 10*d(s). Factor u(b).
-2*(b - 3)**2*(b - 2)
Let i(n) be the third derivative of -n**5/60 + 5*n**4/12 - 66*n**2. Factor i(c).
-c*(c - 10)
Let x(m) = -21*m**2 - 4 + 54*m + m**2 + 50. Let j(h) = -3*h + 14*h + 5 - 4*h**2 + 4. Let a(n) = -14*j(n) + 3*x(n). Suppose a(k) = 0. What is k?
-1, 3
Let l(j) = -2*j**3 + 19*j**2 + 31*j - 208. Let a be l(10). Let -12 - 28/3*b**a - 20*b - 4/3*b**3 = 0. What is b?
-3, -1
Let m(s) be the third derivative of -s**8/1848 - 2*s**7/1155 + 13*s**6/330 + 18*s**5/55 + 45*s**4/44 + 18*s**3/11 + 85*s**2. Solve m(g) = 0 for g.
-3, -1, 6
Let f be 1 - (-3)/(3*3/(-9)). Let l(i) = i**4 + 3*i**3 - 9*i**2 + 5*i. Let m(j) = -4*j**4 - 8*j**3 + 28*j**2 - 16*j. Let w(d) = f*m(d) - 7*l(d). Factor w(n).
n*(n - 3)*(n - 1)**2
What is q in -10*q**4 - 1 - 2*q**3 + 11*q**2 - 7/2*q + 11/2*q**5 = 0?
-1, -2/11, 1
Suppose -27 + 145*w - 48 - 43*w**2 - 61*w**3 - 22*w**2 + 56*w**3 = 0. Calculate w.
-15, 1
Let b(y) be the first derivative of -100/3*y**3 - 2/3*y**6 - 28/5*y**5 - 16*y - 12 - 19*y**4 - 32*y**2. Factor b(s).
-4*(s + 1)**3*(s + 2)**2
Let z(k) = 3*k**2 - 2*k + 3. Let f be z(1). Let h be 4 + (2/(-2))/1. Determine b, given that -2*b**4 + f*b**2 - b**h - 4*b**3 + 3*b**3 = 0.
-2, 0, 1
Let g(o) be the second derivative of -o**4/54 + 10*o**3/9 + 31*o**2/9 + 250*o. Find x such that g(x) = 0.
-1, 31
Factor 47*z**3 + 8*z - 20*z**4 + 2*z**4 - 3*z**2 + 9*z**4 - 43*z**2.
-z*(z - 4)*(z - 1)*(9*z - 2)
Let x = -16657/285 - -1113/19. Let x*k + 4/15 - 2/15*k**2 = 0. Calculate k.
-1, 2
Let f be (6/(-15))/(23/230)*3/(-78). Factor -10/13*i**2 - 12/13*i**3 + 0 - f*i**4 + 0*i.
-2*i**2*(i + 1)*(i + 5)/13
Let s(n) be the third derivative of -n**6/45 - n**5/30 + n**4/36 + n**2 - 166*n. Find g such that s(g) = 0.
-1, 0, 1/4
Let p(m) = m**3 - 3*m - 4. Let t be p(3). What is w in t*w + 11*w**5 + 10*w**5 - 26*w + 48*w**4 - 9*w**3 - 48*w**2 = 0?
-2, -1, -2/7, 0, 1
Let c(w) = -2*w**3 + 21*w**2 + 75*w + 111. Let z(o) = -o**3 + 2*o**2 + o + 1. Let n(t) = -c(t) + 3*z(t). What is y in n(y) = 0?
-6, -3
Suppose -20*h**2 + 153*h - 5*h**2 + 179*h - 6*h**2 + h**3 - 108*h + 256 = 0. What is h?
-1, 16
Let h(p) be the first derivative of p**4 - 4*p**3/3 - 18*p**2 + 36*p + 137. Let h(k) = 0. What is k?
-3, 1, 3
Factor 11*h**3 - 3*h**3 - 12*h + 2*h**2 - 2*h**3 - 4*h**3.
2*h*(h - 2)*(h + 3)
Let r(d) = -8*d**2 + 77*d - 432. Suppose -56 + 81 = -5*u. Let t(z) = -z**2 + z. Let n(o) = u*t(o) + r(o). Determine v, given that n(v) = 0.
12
Let c(p) be the second derivative of p**7/42 + p**6/60 - p**5/10 - p**4/12 + p**3/6 + p**2/4 + 183*p + 1. Let c(u) = 0. Calculate u.
-1, -1/2, 1
Let g(q) be the first derivative of q**6/90 - q**5/15 + q**4/6 - 4*q**3 + 5. Let a(l) be the third derivative of g(l). What is v in a(v) = 0?
1
Let q be 7*(4 + -8 + 2). Let y = -12 - q. Factor 3/2*x**y + 0 - 3/2*x.
3*x*(x - 1)/2
Let w(r) be the second derivative of r**4/2 + r**3/2 + 3*r**2 - r. Let k(x) = -5*x**2 - 21 - 12*x**2 + 0 + 4 - 10*x. Let j(v) = 3*k(v) + 8*w(v). Factor j(s).
-3*(s + 1)**2
Suppose 56*v + 2/5*v**2 + 1960 = 0. What is v?
-70
Factor -9/5*k + 3/5*k**2 + 0.
3*k*(k - 3)/5
Let f be 42/105*(-15)/(-144). Let j(s) be the second derivative of f*s**4 + 3*s + 0*s**3 - 1/4*s**2 + 0. Factor j(v).
(v - 1)*(v + 1)/2
Let a(b) be the second derivative of 21*b**7/2 - 56*b**6 + 1873*b**5/20 - 239*b**4/6 - 74*b**3/3 - 4*b**2 - 4*b - 34. Let a(m) = 0. Calculate m.
-2/21, 1, 2
Suppose 0*p**2 - 2*p**2 + 28*p**2 + p**2 + 3*p**3 = 0. What is p?
-9, 0
Let o(b) = -b**3 - b**2 + 2*b + 3. Let u be o(-2). Factor -u*q - q**2 + 10 + 3*q**2 + q**2 - 4*q**2.
-(q - 2)*(q + 5)
Let k(h) be the first derivative of 961*h**3/3 + 124*h**2 + 16*h - 70. Factor k(l).
(31*l + 4)**2
Suppose 19*p = 16*p + 9. Factor -4/9*m**p + 8/9*m**2 - 32/9 + 16/9*m.
-4*(m - 2)**2*(m + 2)/9
Let o(i) = i**4 - i**3 - 9*i**2