 Let h(l) = 0. Calculate l.
-4, 0
Suppose -374 + 942 = 2*s. Factor -4*z**2 + z**3 - 287 - s - z + 575.
(z - 4)*(z - 1)*(z + 1)
Let s = -34 - -43. Find k such that 18*k - s*k**2 + 23*k**2 + 27 - 11*k**2 = 0.
-3
Let j = 1866 + -5594/3. Factor 0 + 4/3*z - j*z**2.
-4*z*(z - 1)/3
Let p(o) be the second derivative of o**5/10 + 5*o**4/6 + o**3 + 2*o. Let x(c) = -4*c**3 - 21*c**2 - 11*c. Let s(t) = -5*p(t) - 2*x(t). Factor s(l).
-2*l*(l + 2)**2
Suppose 2*l - 8 = b + 12, b - 28 = -2*l. Suppose -l*q + 19*q = 28. Factor 1/4*w**q + 1/4 + 3/2*w**2 - w - w**3.
(w - 1)**4/4
Let l(h) be the second derivative of 1/6*h**4 - 1/42*h**7 - 18*h - 1/10*h**5 + 1/2*h**3 + 1/2*h**2 + 0 - 1/10*h**6. Determine n so that l(n) = 0.
-1, 1
Let k(p) be the third derivative of p**8/26880 + p**7/504 + 5*p**6/144 - 13*p**4/12 - 17*p**2. Let t(l) be the second derivative of k(l). Solve t(r) = 0.
-10, 0
Suppose 0 = -2*t - s - 12 + 37, -80 = -4*t + 4*s. Let b be -2*(-10)/15*(-66)/(-8). Solve 2*i**2 - b*i**3 - 2*i**3 + t*i**3 = 0 for i.
-1, 0
Let k(h) = 8*h**3 + 796*h**2 - 1228*h + 424. Let m(q) = -3*q**3 - 265*q**2 + 409*q - 141. Let o(c) = -5*k(c) - 16*m(c). What is w in o(w) = 0?
-34, 1/2, 1
Let q(v) be the second derivative of -v**6/15 + 9*v**5/10 - 5*v**4/2 + 7*v**3/3 - 98*v. What is f in q(f) = 0?
0, 1, 7
Let q be (-1 + 0)*1*-3. Let r(a) = a**2 + 2*a - 3. Let j be r(q). Factor -3*l**4 - 11*l**2 + 5*l**2 - 12 + 9*l**3 + j.
-3*l**2*(l - 2)*(l - 1)
Factor 12/5 + 2/5*o + 2/5*o**3 - 8/5*o**2.
2*(o - 3)*(o - 2)*(o + 1)/5
Suppose 54*i = 99*i - 90. Suppose 5/2*l**4 - 3*l**i + 4 + 10*l - 13/2*l**3 = 0. Calculate l.
-1, -2/5, 2
Let z(a) be the third derivative of -9/5*a**5 + 0*a - 23*a**2 - 8/15*a**3 - 11/12*a**6 - 7/5*a**4 + 0. Factor z(x).
-2*(5*x + 2)**2*(11*x + 2)/5
Suppose 84*b + 5 = 3*h + 83*b, -3*b = h - 25. Factor -36/5*r**3 + 0 - 4*r**2 + 4/5*r**5 + 0*r - 12/5*r**h.
4*r**2*(r - 5)*(r + 1)**2/5
Let t(b) be the second derivative of b**6/30 + 9*b**5/10 + 4*b**4 + 23*b**3/3 + 15*b**2/2 - b - 7. Factor t(j).
(j + 1)**3*(j + 15)
Let c be ((-9)/(-76))/(-9*3/(-72)). Factor -c - 2/19*f**2 + 8/19*f.
-2*(f - 3)*(f - 1)/19
Let w(h) be the second derivative of -5*h**7/63 - 22*h**6/45 - 23*h**5/30 - h**4/3 + 77*h - 4. Solve w(d) = 0.
-3, -1, -2/5, 0
Let b(r) be the third derivative of -r**10/378000 + r**9/75600 - r**8/50400 + 4*r**5/15 + 11*r**2. Let x(p) be the third derivative of b(p). Factor x(l).
-2*l**2*(l - 1)**2/5
Let z(i) be the third derivative of -1/8*i**4 - 1/120*i**6 + 1/6*i**3 + 1/20*i**5 + 0 + 5*i**2 + 0*i. Suppose z(w) = 0. What is w?
1
Let h(r) be the first derivative of -5*r**4/4 + 16*r**3 - 105*r**2/2 - 50*r - 279. Solve h(x) = 0.
-2/5, 5
Let v(w) be the second derivative of -w**6/165 - 2*w**5/55 - 5*w**4/66 - 2*w**3/33 - 42*w. Let v(s) = 0. What is s?
-2, -1, 0
Let u(h) be the second derivative of h**4/66 - 8*h**3/33 - 3*h**2 - 2*h + 22. What is i in u(i) = 0?
-3, 11
Let k(z) be the first derivative of -4*z**6/75 + 9*z**5/50 - z**4/5 + z**3/15 + 11*z - 7. Let s(d) be the first derivative of k(d). Let s(r) = 0. What is r?
0, 1/4, 1
Solve 1/2*z**2 - 13/2*z - 24 = 0 for z.
-3, 16
Let v(m) be the second derivative of -m**6/2700 + 2*m**5/225 - 4*m**4/45 + 11*m**3/6 - 11*m. Let j(o) be the second derivative of v(o). Let j(w) = 0. What is w?
4
Let l(j) be the first derivative of -2/3*j**3 - 8*j**2 + 55 + 18*j. Factor l(w).
-2*(w - 1)*(w + 9)
Let z be -2*(1/(-1) + 0). Suppose 2*h = -2*v + 24, 0 = -19*v + 16*v + 3. Find t such that -h*t**z - 2*t + 15*t**2 - 2*t = 0.
0, 1
What is l in 2*l**4 - 60*l**2 + 385*l**3 + 399*l**3 - 810*l**3 = 0?
-2, 0, 15
Let u(m) be the first derivative of 5*m**3/3 + 25*m**2 + 80*m + 66. Suppose u(q) = 0. What is q?
-8, -2
Let c(s) be the third derivative of 0 - 1/300*s**5 + 5*s**2 + 1/60*s**4 + 0*s**3 + s. Factor c(t).
-t*(t - 2)/5
Let v(q) be the third derivative of -q**6/24 + 23*q**5/12 - 55*q**4/12 - 22*q**2 - 4*q. Find u such that v(u) = 0.
0, 1, 22
Let f be (-11339)/(-6902) + (-16)/14. Let p(g) = -g**3 + 2*g**2 + 2. Let k be p(2). Suppose -f + 0*x + 1/2*x**k = 0. What is x?
-1, 1
Let z(x) be the second derivative of x**6/45 + x**5/30 - 4*x**4/9 - 4*x**3/3 - 204*x. Factor z(g).
2*g*(g - 3)*(g + 2)**2/3
Suppose 3*k = -2*k - 10, -5*c + 3*k + 36 = 0. Let d = c + -6. Suppose 1 + a**2 - 1 + d*a**2 = 0. Calculate a.
0
Let w(d) be the third derivative of -7/3*d**3 + 1/30*d**5 + 0 + 47*d**2 + 0*d - 1/2*d**4. Suppose w(y) = 0. Calculate y.
-1, 7
Let q = 3693/2 + -1846. Suppose 3/2*w + q*w**2 - 2 = 0. What is w?
-4, 1
Let z = -42131 - -42133. Factor 7/9*r + 1/9*r**3 + 5/9*r**z + 1/3.
(r + 1)**2*(r + 3)/9
Let p(s) be the third derivative of -s**7/840 - s**6/48 - 3*s**5/20 + 13*s**4/24 - 23*s**2. Let l(a) be the second derivative of p(a). Factor l(d).
-3*(d + 2)*(d + 3)
Let s(l) be the third derivative of 1/12*l**5 - 5/2*l**3 + 0 + 3*l**2 - 5/12*l**4 + 6*l. What is d in s(d) = 0?
-1, 3
Let w(f) = 4*f**3 - 3*f**2 - 5*f + 5. Let t(c) = 3*c**3 - 3*c**2 - 4*c + 4. Let h(q) = -5*t(q) + 4*w(q). Solve h(u) = 0 for u.
-3, 0
Let n(c) = c**3 - 4*c**2 + 5*c + 6. Let y(b) = -b**3 + 3*b**2 - 3*b - 5. Let g(u) = 3*n(u) + 4*y(u). Determine l so that g(l) = 0.
-2, 1
Let n(r) = -7*r**2 + 49*r - 237. Let o(f) = 4*f**2 - 25*f + 118. Let b(i) = 6*n(i) + 10*o(i). What is z in b(z) = 0?
11
Let v(a) = 5*a - 14. Let j be v(2). Let c be (1 - 205/10)/(15/j). What is s in 0 + c*s**4 + 2/5*s + 8/5*s**5 + 6*s**3 + 14/5*s**2 = 0?
-1, -1/4, 0
Find o, given that -51*o + 1092*o**2 + 113*o**3 + 3*o**5 - 78*o**4 + 376*o + 310*o**3 + 266*o - 3*o = 0.
-1, 0, 14
Let h(g) be the third derivative of -g**5/300 + 7*g**4/20 - 41*g**3/30 - 98*g**2. Determine m, given that h(m) = 0.
1, 41
Let i(v) be the second derivative of v**4/54 - v**3/9 + 2*v**2/9 - 38*v. Solve i(p) = 0 for p.
1, 2
Let k(a) be the second derivative of a**4/18 + 44*a**3/3 - 2*a + 80. Suppose k(s) = 0. Calculate s.
-132, 0
Let l(o) be the first derivative of 2*o**3/39 + 456*o**2/13 + 103968*o/13 - 415. Factor l(u).
2*(u + 228)**2/13
Let g(y) = y**3 + y**2 - y + 5. Let o be g(-2). Let d(m) be the second derivative of -2*m + 0*m**o + 0 - 1/12*m**4 + 1/2*m**2. Factor d(h).
-(h - 1)*(h + 1)
Factor -24/5*l + 4*l**2 + 8/5*l**3 + 0 - 4/5*l**4.
-4*l*(l - 3)*(l - 1)*(l + 2)/5
Let g(x) = x**2 - 8*x + 12. Let u be g(7). Let q(h) be the third derivative of 2*h**2 + 4/27*h**3 + 0*h - 1/108*h**6 + 2/27*h**4 + 0 - 7/270*h**u. Factor q(s).
-2*(s - 1)*(s + 2)*(5*s + 2)/9
Let n(r) be the third derivative of 0 + 1/10*r**5 + 1/40*r**6 + 1/8*r**4 + 0*r**3 + 0*r - 24*r**2. Factor n(p).
3*p*(p + 1)**2
Let n = -2142 - -14996/7. Let n*j**2 - 10/7*j + 8/7 = 0. Calculate j.
1, 4
Let r be (32/(-5))/((-1)/(35/2)). Let m be (3/(-2))/(2*(-231)/r). Factor -2/11*t**4 + 2/11 - m*t + 4/11*t**3 + 0*t**2.
-2*(t - 1)**3*(t + 1)/11
Let m(q) be the second derivative of 2*q**7/21 + 4*q**6/15 - q**5/5 - 2*q**4/3 - 17*q + 1. Factor m(p).
4*p**2*(p - 1)*(p + 1)*(p + 2)
Let c(l) be the second derivative of 4*l - 1/60*l**4 + 0 - 1/15*l**3 + 3/10*l**2. Determine n, given that c(n) = 0.
-3, 1
Let v(y) be the third derivative of -y**8/28 - 111*y**7/70 - 2*y**6 + 27*y**5/20 + 29*y**2. Suppose v(h) = 0. Calculate h.
-27, -1, 0, 1/4
Let n(w) be the first derivative of -1/7*w**2 + 1/14*w**4 - 18 + 1/21*w**3 + 0*w - 1/35*w**5. What is i in n(i) = 0?
-1, 0, 1, 2
Let y(k) = -9*k**3 + 4*k**2 + 3*k + 2. Let t(l) = -l**2 - l**3 + 3*l**2 - l**2. Let n = 212 + -206. Let a(h) = n*t(h) - y(h). Factor a(q).
(q - 1)*(q + 1)*(3*q + 2)
Let u = 98/11 + -4867/550. Let z = u + 49/850. Factor 0*s + z*s**2 - 2/17.
2*(s - 1)*(s + 1)/17
Let m(d) be the third derivative of -1/2*d**3 + 1/280*d**7 + 0*d + 9/80*d**5 + 11*d**2 + 1/16*d**4 + 11/320*d**6 + 0. Factor m(k).
3*(k + 2)**3*(2*k - 1)/8
Let q(v) = -v**5 - v**3 + v**2 + v - 1. Let l(z) = -3*z**5 - z**4 + 3*z**3 - z**2 + 2*z - 2. Let m(a) = l(a) - 2*q(a). Solve m(n) = 0.
-3, 0, 1
Let u(t) = t**3 + 5*t**2 - 8*t. Let z(d) = 17*d + 2*d**3 + 3*d**2 - 3*d**3 - 14*d**2. Let m(j) = 5*u(j) + 2*z(j). Factor m(x).
3*x*(x - 1)*(x + 2)
Let q be -1 - 3 - -169 - 0. Suppose -2*j**3 - 2*j**2 - q*j + 16 - 2*j**2 + 173*j = 0. What is j?
-2, 2
Let t(j) be the second derivative of -j**4/12 + 25*j**3/2 - 37*j**2 - 9*j. Solve t(w) = 0.
1, 74
Let j(t) be the second derivative