7*u**2/2 + 5*u. Let n(r) = 7*b(r) - 3*k(r). Solve n(a) = 0.
0, 1
Let o(m) be the second derivative of 9*m + 0*m**2 - 2/33*m**3 - 1/66*m**4 + 0. Find z such that o(z) = 0.
-2, 0
Let p(d) be the first derivative of d**5/35 - 3*d**4/28 + 2*d**2/7 - 111. Factor p(i).
i*(i - 2)**2*(i + 1)/7
Let p(b) be the second derivative of 0 - 9/2*b**2 - 3/8*b**4 + 25*b - 19/4*b**3. Factor p(o).
-3*(o + 6)*(3*o + 1)/2
Let m = 87 + -84. Suppose 11*l - 3*n = 9*l, 0 = m*l - 5*n. Factor 0 + 0*z**3 + 0*z + l*z**2 - 3/5*z**5 + 6/5*z**4.
-3*z**4*(z - 2)/5
Suppose 5*t = -4*c + 5*c - 23, -3*t - 12 = 0. Let l be 8/(-20)*(-5)/c. Factor 0 + 0*h + l*h**2.
2*h**2/3
Let j = -469/2 - -236. Let k(y) be the first derivative of 9/2*y**4 + 0*y + 9/2*y**3 + j*y**5 + 3/2*y**2 + 5. Determine u so that k(u) = 0.
-1, -2/5, 0
Let v(l) = 25*l**2 + 40*l - 75. Let d(k) = k**2 - 4. Let n(o) = 30*d(o) - v(o). Factor n(q).
5*(q - 9)*(q + 1)
Let i(u) be the third derivative of 0*u**3 + 0 + 32/735*u**7 + 0*u + 24*u**2 + 1/14*u**4 + 13/105*u**6 + 1/196*u**8 + 16/105*u**5. Find y such that i(y) = 0.
-3, -1, -1/3, 0
Let f(s) = s + 15. Let d = -38 - -26. Let p be f(d). Solve -3*m**4 - 8*m**3 - m**5 + 2*m**2 + 1 + p*m + 4*m**3 + 2*m**3 = 0 for m.
-1, 1
Suppose -4*l + 4 = -4. Factor 8 - 4*d**l + 2*d**3 - d**2 - 4*d + d**3 - 4.
(d - 2)*(d + 1)*(3*d - 2)
Factor -19 - 9*n - 17*n**2 + n + 22*n**2 - 1 - 7*n.
5*(n - 4)*(n + 1)
Suppose 68 = 66*m - 32*m. Factor -2/5*b + 2/5*b**3 + 1/5*b**4 + 0 - 1/5*b**m.
b*(b - 1)*(b + 1)*(b + 2)/5
Let n = -36/13 + 67/26. Let d = n + 9/13. Suppose 0 - d*w + 1/2*w**4 + 1/2*w**3 - 1/2*w**2 = 0. What is w?
-1, 0, 1
Suppose -2 + 20 = 3*q. Suppose -l = -3*l + q. Suppose j**3 - 2*j**l + j - 3*j - j + 3*j**2 + 1 = 0. What is j?
1
Let u(w) be the second derivative of 3*w**5/10 + 5*w**4/4 - w**3/2 - 9*w**2 + 34*w - 2. Factor u(h).
3*(h - 1)*(h + 2)*(2*h + 3)
Find t such that 46/5*t**3 + 2/5*t**4 - 6/5*t**5 - 10*t**2 - 16/5*t + 24/5 = 0.
-3, -2/3, 1, 2
Suppose -3*l = -y + 8, 7*l = 3*y + 4*l - 12. Suppose 1 = j - s, -j + y*s = -2*j + 4. Determine i, given that 2/5*i**j + 0 - 8/5*i = 0.
0, 4
Let r(a) be the first derivative of -a**5/20 + 3*a**4/8 - 5*a**2/2 + 5. Let d(v) be the second derivative of r(v). Factor d(h).
-3*h*(h - 3)
Factor 0*o**2 + 5/3*o**4 + 1/3*o**5 + 0 + 4/3*o**3 + 0*o.
o**3*(o + 1)*(o + 4)/3
Let z(d) = 5*d**2 - 11*d - 3*d**2 + 2*d**2 + 7*d - 12*d**3. Let n(h) = h**3. Let m(l) = 22*n(l) + 2*z(l). Factor m(b).
-2*b*(b - 2)**2
Suppose -3*f = -2*m - 0*m + 7, 0 = -m - 2*f. Let d(c) be the first derivative of 0*c + 2/21*c**3 + 4 - 1/7*c**m. Solve d(x) = 0 for x.
0, 1
Let k be 108/65 - 3/25*10. Factor 2/13*o**3 - 2/13 - 6/13*o**2 + k*o.
2*(o - 1)**3/13
Let a(p) = -5*p**4 + 58*p**3 - 87*p**2 + 2*p + 47. Let i(g) = g**4 + g**3 - g - 6. Let m(b) = -a(b) - 3*i(b). Solve m(v) = 0.
-1/2, 1, 29
Let r(i) be the first derivative of -i**3/12 + 13*i**2/8 + 15*i/2 + 49. Determine f, given that r(f) = 0.
-2, 15
Suppose -5*v - 28*r + 27*r = 65, 4*r + 56 = -3*v. Let a be -2*v/(-9)*72/(-64). Find l such that 0*l**a + 0*l - 2/9 - 2/9*l**4 + 4/9*l**2 = 0.
-1, 1
Factor -12 + 20/3*b - 1/3*b**2.
-(b - 18)*(b - 2)/3
Let h(m) be the third derivative of -m**5/390 + m**4/52 - 2*m**3/39 + 29*m**2 - 6. Factor h(d).
-2*(d - 2)*(d - 1)/13
Factor -288 - 146*x**2 + 6*x**4 + 2*x**4 - 3*x**4 + 28*x**3 + 336*x - 7*x**4.
-2*(x - 4)**2*(x - 3)**2
Let q = -51 - -57. Let g(p) be the third derivative of 0*p + 0 - 1/15*p**5 + 2/105*p**7 + 0*p**4 - 9*p**2 + 0*p**3 + 0*p**q. Determine d so that g(d) = 0.
-1, 0, 1
Let v(x) be the second derivative of -1/50*x**5 + 0*x**2 - 1/15*x**4 + 0*x**3 + 0 + 2/75*x**6 - 11*x + 1/105*x**7. Suppose v(k) = 0. What is k?
-2, -1, 0, 1
Let b(g) be the first derivative of -g**3/24 - 3*g**2/4 + 13*g/8 + 88. Factor b(d).
-(d - 1)*(d + 13)/8
Let u(z) be the first derivative of -z**6/4 + 9*z**5/5 - 27*z**4/8 + 2*z**3 - 87. Factor u(h).
-3*h**2*(h - 4)*(h - 1)**2/2
Let d(k) = -8*k**2 + 20*k - 20. Let y be 9*4/(-6) - -3. Let j(a) = a**2 - 3*a + 3. Let u(x) = y*d(x) - 20*j(x). Factor u(n).
4*n**2
Let j(a) be the second derivative of -a**5/20 + a**4/8 + a**3 + 7*a**2 - 11*a. Let i(n) be the first derivative of j(n). What is h in i(h) = 0?
-1, 2
Let g(o) be the first derivative of -3*o**4/4 - 61*o**3 + 93*o**2 + 535. What is l in g(l) = 0?
-62, 0, 1
Let q be (-162)/(-12)*4/6. Factor -2*f - f - 3*f**2 - q + 9.
-3*f*(f + 1)
Let 27/5 - 3/5*l**4 - 18/5*l**3 - 78/5*l + 72/5*l**2 = 0. What is l?
-9, 1
Let x(l) be the first derivative of 3*l**4/16 - l**3/12 - 3*l**2/8 + l/4 - 19. Factor x(o).
(o - 1)*(o + 1)*(3*o - 1)/4
Let y = -32 - -47. Let m = y - 13. Determine z so that -2*z**3 + 3*z**3 + m*z**4 - 4*z**3 + z**5 + 4*z**3 = 0.
-1, 0
Let l(c) be the first derivative of -3*c**5/5 + 333*c**4 - 73926*c**3 + 8205786*c**2 - 455421123*c + 316. Suppose l(g) = 0. What is g?
111
Suppose -3*u**4 - 48/5*u - 12/5 + 63/5*u**2 + 12/5*u**3 = 0. What is u?
-2, -1/5, 1, 2
Suppose -1/2*u**2 - 1/3*u + 1/3*u**3 + 1/2 = 0. Calculate u.
-1, 1, 3/2
Find f such that 4*f**3 - 2*f + 2 + 49*f**2 - 2*f**3 - 51*f**2 = 0.
-1, 1
Let n(c) = 320*c + 643. Let w be n(-2). Factor 0*d - 10/19*d**2 + 0 + 2/19*d**w.
2*d**2*(d - 5)/19
Let v be 15 + (-288)/30 + (-3 - 0)*1. Find g such that -12/5*g + 0 - 3/5*g**3 - v*g**2 = 0.
-2, 0
Let t(q) be the second derivative of q**8/12320 + q**7/1155 + q**6/330 - q**4/2 + 3*q. Let z(w) be the third derivative of t(w). Factor z(j).
6*j*(j + 2)**2/11
Let w(a) be the second derivative of -a**7/168 + 3*a**6/40 - a**5/16 - 29*a**4/48 + 7*a**3/4 - 2*a**2 + 4*a + 141. Determine q, given that w(q) = 0.
-2, 1, 8
Let n(m) be the third derivative of m**8/336 + m**7/70 - m**6/120 - 11*m**5/60 - m**4/2 - 2*m**3/3 + 10*m**2. What is c in n(c) = 0?
-2, -1, 2
Let p(n) = 6*n**3 - n**2 - n + 1. Let d be p(1). Solve 10*u**2 - u**2 - d*u**3 - 4*u**2 = 0 for u.
0, 1
Let d be (-18)/207 + (-46151)/115. Let f = d - -403. Factor 12/5*h**2 + f*h + 0*h**3 + 0 - 4/5*h**4.
-4*h*(h - 2)*(h + 1)**2/5
Let n be (1 + (0 - 2))*1. Let s be (5 + -9)/(1/n). Let s*d**3 + 0 - 7*d**4 + 2*d**4 - 20*d + d**4 + 8 + 12*d**2 = 0. What is d?
-2, 1
Let o(k) be the first derivative of k**5/30 + 5*k**4/12 - 2*k**3 + 19*k**2/6 - 13*k/6 - 4. Factor o(h).
(h - 1)**3*(h + 13)/6
Factor -2/9*d**2 - 10/3*d - 28/9.
-2*(d + 1)*(d + 14)/9
Let n(o) = 6*o**2 - 53*o + 91. Let z = 63 + -56. Let b(h) = -9*h**2 + 79*h - 137. Let p(f) = z*n(f) + 5*b(f). Solve p(q) = 0.
4
Let b = 1556 + -1552. Determine v, given that 3/2*v**b + 3*v**2 + 0 - 9/2*v**3 + 0*v = 0.
0, 1, 2
Let y be (-41)/8 + (3/8)/3. Let s be (17/(-255))/(1/y)*6. Suppose 8/5*a**4 + 0 + s*a**3 + 4/5*a**2 + 2/5*a**5 + 0*a = 0. What is a?
-2, -1, 0
Let r(p) be the second derivative of 1/13*p**2 + 1/195*p**6 + 34*p + 0*p**5 - 1/39*p**4 + 0 + 0*p**3. Find h, given that r(h) = 0.
-1, 1
Let p(l) be the third derivative of -1/6*l**4 + 0*l + 11*l**2 + 0 - 3/10*l**5 + 0*l**3 - 1/35*l**7 - 1/6*l**6. Determine n, given that p(n) = 0.
-2, -1, -1/3, 0
Let l(k) be the second derivative of -k**5/5 - 8*k**4/3 - 8*k**3 + 56*k. Factor l(x).
-4*x*(x + 2)*(x + 6)
Factor 279*m + 36*m**2 + 24*m**3 - 145*m - 48 + 4*m**4 - 150*m.
4*(m - 1)*(m + 2)**2*(m + 3)
Let m = -10801/3 - -3608. Solve -4/3*b**4 - 3*b + 0 + m*b**3 - 10*b**2 = 0.
-1/4, 0, 3
Let m(r) = -617*r - 1849. Let j be m(-3). Solve 2/3*k**j - 6 - 16/3*k = 0 for k.
-1, 9
Let o(b) be the first derivative of -b**4/60 - 2*b**3/15 - 3*b**2/10 - 7*b + 3. Let v(l) be the first derivative of o(l). Factor v(m).
-(m + 1)*(m + 3)/5
Let y(g) = 4*g - 173 + 363 - 162. Let v be y(-7). Factor -2/11*s**3 - 2/11*s**4 + 0*s**2 + 0 + v*s.
-2*s**3*(s + 1)/11
Let s(z) = z**2 - 9*z + 14. Let x be s(11). Factor x*k**2 - 2*k - 7*k - 105 - 101 + 200 - 21*k**3.
-3*(k - 1)**2*(7*k + 2)
Suppose l = -l - 4. Let z = 6 - l. Solve -8 + 2*g + z - 2*g**2 = 0 for g.
0, 1
Let m(b) = 44*b**3 + 136*b**2 - 49*b. Let q(s) = -s**4 - 175*s**3 - 543*s**2 + 196*s. Let f(r) = 22*m(r) + 6*q(r). Factor f(d).
-2*d*(d + 7)**2*(3*d - 1)
Let q(n) = -3*n + 18. Let x be (-2)/(-4)*(-80)/(-8). Let m be q(x). Factor -81/2 - 27*c**2 - 54*c - 6*c**m - 1/2*c**4.
-(c + 3)**4/2
Suppose o = -0*o + 2. Let h be ((-3)/9)/(o/(-12)). Find l such that -215*l + 215*l + h*l**4 = 0.
0
Let z be (-9)/((-2)/4 + -1). Suppose 2*i = 14 - z. L