v**4 + 0*v**2 = 0.
-1, 0
Let s = -39 - -37. Let t be 3/s*(3 - (-52)/(-12)). Solve -6 - 2*q**4 - 5*q**4 + 19*q**3 + 3*q**t + 10*q**2 - 19*q = 0.
-1, -2/7, 1, 3
Determine o so that -68/9*o - 2/9*o**2 - 64 = 0.
-18, -16
Let v(j) be the first derivative of j**3 - 972*j**2 + 1941*j - 7120. Factor v(l).
3*(l - 647)*(l - 1)
Let f(g) be the third derivative of -4/3*g**3 - 43 + 1/30*g**5 + 0*g**4 + 0*g - 3*g**2. Find i, given that f(i) = 0.
-2, 2
Let b(r) be the third derivative of -r**8/336 + 13*r**7/105 + 29*r**6/40 + r**5/15 - 29*r**4/6 + 1012*r**2 - r. Factor b(y).
-y*(y - 29)*(y - 1)*(y + 2)**2
Let v(h) be the second derivative of 0 + 1/3*h**4 + 9*h + 26/3*h**3 - 28*h**2. Find w, given that v(w) = 0.
-14, 1
Let y(x) be the first derivative of x**4/72 - x**3/6 + 5*x**2/12 - 15*x + 4. Let i(p) be the first derivative of y(p). Factor i(l).
(l - 5)*(l - 1)/6
Let s be 1*9 + (21 - 27). Let -8*n**3 + 1 - 5*n**s + 14*n**3 - n + 2 - 3*n**2 = 0. Calculate n.
-1, 1, 3
Suppose 0 + 155/2*j**2 + 2*j = 0. Calculate j.
-4/155, 0
Factor -9472/5 - 2/5*q**3 + 448*q - 116/5*q**2.
-2*(q - 8)**2*(q + 74)/5
Let a(b) be the third derivative of b**6/24 + 901*b**5/12 + 2245*b**4/3 + 2990*b**3 + b**2 + 2613*b. Factor a(n).
5*(n + 2)**2*(n + 897)
Let j(f) = -4*f**2 + 388*f - 2. Let x(y) = 13*y**2 - 1162*y + 7. Let w(r) = 7*j(r) + 2*x(r). Let w(i) = 0. What is i?
0, 196
Let a be ((-1144)/110)/(-26)*(-20)/(-4). Find s, given that 2/3*s**a + 0 + 5/6*s**3 + 1/6*s**4 + 0*s = 0.
-4, -1, 0
Let g be -3 + 51/28 + (-7060)/(-4942). Find s, given that -3/8*s**3 + 7/8*s - 3/4 - g*s**4 + 3/2*s**2 = 0.
-3, -1, 1/2, 2
Let k(y) be the third derivative of -y**8/47040 + y**7/1470 + 325*y**4/24 - 29*y**2 + 3. Let g(o) be the second derivative of k(o). Factor g(d).
-d**2*(d - 12)/7
Let k be 7 + (-91)/4*840/196. Let p = 369/4 + k. Find y, given that -1/4*y**2 - p - 2*y = 0.
-7, -1
Let b(n) = n**2 - 2*n - 12. Let y = -52 - -57. Let w be b(y). Factor 0*s**2 + 4/5 - 2/5*s**w + 6/5*s.
-2*(s - 2)*(s + 1)**2/5
Suppose -10*f + 2*r + 12 = 0, 4*f - 6*r - 18 = -3*r. Solve 1/2*d**2 - 3/2*d**3 + f + 3/2*d - 1/2*d**4 = 0.
-3, -1, 0, 1
Let o(g) be the third derivative of 0*g**3 - 4/5*g**5 + g - 1/2*g**4 - 1/8*g**6 + 0 + 1/10*g**7 + 101*g**2. Determine m, given that o(m) = 0.
-1, -2/7, 0, 2
Let h = -6884414/7 - -983506. Factor -2/7*f**3 - 88/7 - 38/7*f**2 + h*f.
-2*(f - 2)*(f - 1)*(f + 22)/7
Suppose 3*q - 2*q = 3. Let t(h) = 6*h + 28. Let d be t(-4). Let 6*g**d + 2*g**2 + 2 - 3*g**2 - 4*g**q + 4*g**5 - 7*g**2 = 0. Calculate g.
-1, 1/2, 1
Let v(a) = 14*a + 30. Let p be v(-2). Determine y so that 2*y**3 - 1090*y + 1106*y - 6 - p - 10*y**2 = 0.
1, 2
Let r(l) = l**3 - 4*l**2 - 7*l - 26. Let c be r(6). Suppose 0*z**c + 8*z**3 + 7*z**4 - 3*z + 3*z**2 - 4*z**4 + z = 0. Calculate z.
-2, -1, 0, 1/3
Let o(k) = -k**5 + 2*k**2 - k + 2. Let p(s) = -4*s**5 - 88*s**4 - 172*s**3 - 168*s**2 - 42*s - 28. Let u(f) = 22*o(f) + 2*p(f). Find r, given that u(r) = 0.
-3, -1, -2/3, -1/5
Let s = 5 - 3. Let t(v) = -9*v + 294. Let o be t(28). Let -s*z**4 - 6*z - o*z**2 + 6*z**3 - z**4 + 3 + 42*z**2 = 0. Calculate z.
-1, 1
Let m be (-8)/(5 + -9 + (1 - -1)). Factor -73*h**4 - m*h**5 - 59*h**4 + 0*h**5 + 140*h**4.
-4*h**4*(h - 2)
Find g such that -1/6*g**5 + 137/6*g**2 + 20/3 + 55/6*g**3 + 1/2*g**4 + 21*g = 0.
-4, -1, 10
Let b be ((-3)/((-18)/104))/(((-14)/(-10))/((-10350)/(-8625))). Let b*o - 1352/7 - 2/7*o**2 = 0. What is o?
26
Let r(v) = v**2 + 19*v + 51. Let f be r(-16). Factor 8 + 0 - 3*g**f + 18*g - 951*g**2 + 958*g**2.
-(g - 4)*(g + 1)*(3*g + 2)
Suppose -4*g - 15 = b, -8 = g + b - 5. Let u(f) = 3*f**2 + 7*f + 10. Let i(n) = 5*n**2 + 8*n + 12. Let q(a) = g*i(a) + 5*u(a). Factor q(s).
-(s - 1)*(5*s + 2)
Let m(w) be the second derivative of -w**4/66 + 37*w**3/33 + 78*w**2/11 + 4672*w. Determine f so that m(f) = 0.
-2, 39
Let m = -9041/85 - -100301/935. Solve -24/11 + m*z**4 - 4*z**3 + 26/11*z**2 + 56/11*z = 0 for z.
-1, 2/5, 2, 3
Let b be 4 + ((-4)/(-4))/1. Let j = b + -2. Let r**3 + 2*r**4 - 3*r**j + 9*r**2 - 9*r**2 = 0. Calculate r.
0, 1
Let n(h) be the second derivative of -1/72*h**6 + 0*h**2 - 3/2*h**3 + 1/4*h**5 + 0*h**4 + 0 - 32*h. Let r(z) be the second derivative of n(z). Factor r(l).
-5*l*(l - 6)
Factor -4*t - 1/4*t**2 + 57/4.
-(t - 3)*(t + 19)/4
Let x = -221 - -224. Suppose -5*o + 11 = 1. What is p in 2*p**o - 36*p**3 + 4*p**4 + 6*p**2 + 20*p**x - 12 + 16*p = 0?
-1, 1, 3
Let o(b) be the second derivative of -36/5*b**2 - 14*b + 1 - 1/75*b**6 - 1/25*b**5 + 11/30*b**4 + 4/5*b**3. Solve o(a) = 0.
-3, 2
Factor -69*v + 40*v + 590*v**2 - 589*v**2.
v*(v - 29)
Let i(d) be the second derivative of -2*d + 6*d**3 + 486*d**2 - 14 + 1/36*d**4. Find o, given that i(o) = 0.
-54
Let w be (65/26)/(2/4). Suppose 0 = -w*v - 5 + 25. Factor -1 - 16*r**5 - 25*r**3 + 14*r**2 - v*r**2 - 2*r - 40*r**4 - 5*r**2 + 7*r.
-(r + 1)**3*(4*r - 1)**2
Let j(p) = -11 + 5 + 2*p - 5 + 9 + p**2. Let l(c) = 5*c**2 + 4*c - 5. Let h(r) = -4*j(r) + l(r). Let h(a) = 0. What is a?
1, 3
Let d = 380092381/309320 + 7/61864. Solve 1/5*r**4 - 128/5*r**3 + d*r**2 + 1048576/5 - 131072/5*r = 0 for r.
32
Factor 708*x + 378*x**2 + 75*x**3 + 12184*x**4 - 24365*x**4 + 12184*x**4 + 456.
3*(x + 2)**3*(x + 19)
Suppose 9*s = 8*s - 3*t + 17, s - t = -3. Let j = 3 + -1. Find p, given that 3*p**2 - 4*p**s + 27 + 4*p**j + 18*p = 0.
-3
Let l(k) be the first derivative of 67*k**4/20 + 9*k**3 + 69*k**2/10 + k/5 + 263. Factor l(m).
(m + 1)**2*(67*m + 1)/5
Suppose 97152*k - 161852/3*k**2 + 27648 - 8/3*k**4 - 2290/3*k**3 = 0. What is k?
-144, -1/4, 2
Let j(u) = u**2 - 13*u. Let v(k) = -3*k + 31. Let x be v(6). Let d be j(x). Factor d*a**2 - 5*a**2 + 7*a + 6*a**2 + 0*a**2 + 10.
(a + 2)*(a + 5)
Suppose -2132 - 559 = -23*f. Factor 6*i**2 - 4*i**5 + 4*i**3 + f*i**4 - 121*i**4 - 2*i**2.
-4*i**2*(i - 1)*(i + 1)**2
Let k be ((-7)/(-35))/((-2)/(-70)). Factor 2*a**4 - 4*a**4 + 480*a**2 - 52*a + k*a**4 + 90*a**3 + 531*a + 161*a.
5*a*(a + 2)*(a + 8)**2
Let n = -362416 - -362418. Solve -28/3*r**3 - 8*r**n + 28/3*r - 2/3*r**4 + 26/3 = 0.
-13, -1, 1
Let q(w) be the third derivative of -5/3*w**3 - 95/24*w**4 - 10/3*w**5 - 3*w - 5*w**2 + 25/24*w**6 + 0. Factor q(k).
5*(k - 2)*(5*k + 1)**2
Solve -12*d**3 - 33*d - 3/2*d**4 + 93/2*d**2 + 0 = 0.
-11, 0, 1, 2
Let -58/7*l**4 + 2/7*l**5 - 1120 - 736*l + 464/7*l**2 + 416/7*l**3 = 0. What is l?
-2, 5, 14
Let s(g) be the second derivative of -3/7*g**3 + 0 - 1/42*g**4 - 18/7*g**2 + 51*g. Determine z, given that s(z) = 0.
-6, -3
Let b be 20/(-28)*(-644)/1380. Find d, given that -b*d**5 - 22/3*d**2 + 7/3*d + 5 + 7/3*d**4 - 2*d**3 = 0.
-1, 1, 3, 5
Let o be (-185)/25*-2 + 12 + (-200)/20. Determine x so that -o*x + 1764/5 + 1/5*x**2 = 0.
42
Let a(h) = 13*h**2 + h + 2. Let u(w) = -255*w**2 + 455*w + 4580. Let t(b) = -20*a(b) - u(b). Factor t(l).
-5*(l + 11)*(l + 84)
Let q(s) = 52*s**3 + 7032*s**2 + 3511*s + 438. Let o(c) = -210*c**3 - 28128*c**2 - 14046*c - 1752. Let t(n) = 2*o(n) + 9*q(n). Factor t(r).
3*(r + 146)*(4*r + 1)**2
Suppose -21*n - 32 = -29*n. Solve 3*y**n - 35*y**2 + 107*y**2 - 27*y**3 - 48*y - 23401 + 23401 = 0 for y.
0, 1, 4
Let v(f) = 2*f**2 + 32*f - 34. Let s be v(-17). Suppose 5*u + 183 - 198 = s. What is l in -38/11*l**u - 30/11*l**2 + 4/11 - 14/11*l**4 - 2/11*l = 0?
-1, 2/7
Let q be 50/200 - 1/4. Factor 0*t**2 + q*t + 0 - 5/2*t**4 + 5*t**3.
-5*t**3*(t - 2)/2
Let y(o) be the second derivative of o**4/54 - 94*o**3/27 + 91*o**2/3 + 2*o - 529. Solve y(z) = 0 for z.
3, 91
Let x(z) = z**3 + 8*z**2 + 4*z - 10. Let l be x(-7). Suppose -9*y = l*y. Determine u so that 2/13*u**2 + y + 0*u - 2/13*u**3 = 0.
0, 1
Let v(p) = -p**3 + 8*p**2 - 13*p + 12. Let c be v(3). Find b such that -36 - 2*b + 21 - 50*b**2 + 13 - c*b = 0.
-1/5
Factor 2930200*l**3 + 310319*l**2 + 85750*l**4 + 190321*l**2 - 241 + 28576*l + 785.
2*(l + 34)*(35*l + 2)**3
Determine h, given that 13208/5*h**3 - 752 + 22572/5*h**2 + 5632/5*h + 28/5*h**4 = 0.
-470, -1, 2/7
Factor -4 + 33 + 23*l**2 + 6*l**2 - 27*l + 1 - 32*l**2.
-3*(l - 1)*(l + 10)
Suppose 0 = 3*p + 13 + 203. Let x = p + 75. Let u(d) = 20*d**3 + 40*d**2 + 28*d. Let t(s) = -7*s**3 - 13*s**2 - 9*s. Let i(b) = x*u(b) + 8*t(b). Factor i(f).
4*f*(f + 1)*(f + 3)
Let p = -17497 + 17500. Solve 66/5*f**p + 12/5 + 84/5*f**2 + 3/5*f**5 + 51/5*f + 24/5*f**