.
-1, 1, 2
Let c(m) = -m**3 - 12*m**2 + 2. Let s be c(-12). Suppose -4*d + 64 = -0*a - 4*a, -s*d + 32 = -5*a. Factor d + 4*j**4 - 7*j**2 - 12 - j**2.
4*(j - 1)**2*(j + 1)**2
Let d be 1 - -2 - (-8 + 41/4). Let q = 17/12 - d. Suppose -q*x**4 + 0 + 4/15*x + 8/5*x**3 - 6/5*x**2 = 0. What is x?
0, 2/5, 1
Let o be 90/(-1575) - 4/(-70). Let h(a) be the second derivative of 0*a**2 - 2/225*a**6 - 2/45*a**4 - 1/30*a**5 + 9*a - 1/45*a**3 + o. Factor h(f).
-2*f*(f + 1)**2*(2*f + 1)/15
Let v(h) be the first derivative of 2*h**3/11 - 138*h**2/11 + 3174*h/11 - 143. What is y in v(y) = 0?
23
Let c(l) = 45*l**2 - 4500*l + 112500. Let o(b) = -5*b**2 + 500*b - 12500. Let s(y) = -4*c(y) - 35*o(y). What is n in s(n) = 0?
50
Let a be 3 + 0 + 0 + 42. Suppose 3 = -3*u + a. Solve 6*t**5 - 6 - u*t + 12*t**3 + 2 - 4*t + 20*t**4 - 16*t**2 = 0.
-2, -1, -1/3, 1
Suppose -1/5*l**2 - 28561/5 + 338/5*l = 0. Calculate l.
169
Factor -1/4*s**2 + 15/4 - 1/2*s.
-(s - 3)*(s + 5)/4
Let h(z) be the first derivative of 2/3*z**6 - 1/2*z**2 + 1 - 3/4*z**4 + 0*z + 5/3*z**3 - z**5. Determine x, given that h(x) = 0.
-1, 0, 1/4, 1
Let y be (-9)/4 - 75/(-25). Let 3/4*o**2 + 0 + 0*o**3 + 0*o - y*o**4 = 0. Calculate o.
-1, 0, 1
Let n(a) be the first derivative of -a**6/12 - 9*a**5/10 - 23*a**4/8 + 3*a**3/2 + 27*a**2 + 54*a + 232. Factor n(p).
-(p - 2)*(p + 2)*(p + 3)**3/2
Let g = -6074 - -6085. Factor -3/2*x**2 + g*x - 7/2.
-(x - 7)*(3*x - 1)/2
Suppose -13533*a = -13522*a - 22. Suppose 16/13*m + 12/13*m**a + 0*m**3 + 6/13 - 2/13*m**4 = 0. Calculate m.
-1, 3
Let q(i) be the third derivative of i**6/90 - i**5/5 + 3*i**4/2 - 3*i**3/2 - 7*i**2. Let v(w) be the first derivative of q(w). Factor v(c).
4*(c - 3)**2
Let h(u) be the second derivative of -2*u**7/105 + 14*u**6/75 - 16*u**5/25 + 4*u**4/5 - u - 23. Suppose h(a) = 0. Calculate a.
0, 2, 3
Let k(q) be the first derivative of -2*q**5/75 + 13*q**4/10 - 16*q**3 - 80*q**2/3 + 30. Factor k(v).
-2*v*(v - 20)**2*(v + 1)/15
Let l(y) be the second derivative of y**8/1260 - y**6/90 + y**5/45 + 3*y**3/2 + 21*y. Let r(i) be the second derivative of l(i). Factor r(j).
4*j*(j - 1)**2*(j + 2)/3
Let l be 6 + -2 - 0 - ((-14)/56 - -4). Factor 5/4*x**3 - l*x**4 - 1/2 + 7/4*x - 9/4*x**2.
-(x - 2)*(x - 1)**3/4
Let k = -34 - -50. Suppose 8 = -o + 2*r, 5*o + 2*r - k = 2*o. Factor 7/3*x - 2*x**o - 1/3.
-(x - 1)*(6*x - 1)/3
Let x(j) be the second derivative of 11/6*j**3 - 3*j**2 + 0 - 1/2*j**4 + 14*j + 1/20*j**5. Determine z so that x(z) = 0.
1, 2, 3
Let x(c) = 12*c**3 + 12*c**2. Suppose p - 14 + 10 = 0. Let f(b) = b**3 + b**2. Let k(w) = p*x(w) - 44*f(w). What is r in k(r) = 0?
-1, 0
Let p(h) be the second derivative of 0 + 4*h**2 + 4/3*h**3 + 1/15*h**6 - 8*h - 1/2*h**4 - 1/5*h**5. Determine y so that p(y) = 0.
-1, 2
Suppose 48*v**3 + 184*v**2 + 58*v**3 - 212*v**3 + 51*v**3 + 51*v**3 = 0. Calculate v.
0, 46
Let p(c) be the first derivative of -3*c**6/16 - 7*c**5/40 + 5*c**4/8 - c**3/6 + 447. Suppose p(n) = 0. What is n?
-2, 0, 2/9, 1
Let d(s) be the second derivative of 9/4*s**4 + 0 + 24*s**2 + 3*s - 3/20*s**5 - 12*s**3. Determine g, given that d(g) = 0.
1, 4
Let a(g) be the second derivative of 2*g**7/231 + 7*g**6/330 - 3*g**5/110 - 7*g**4/132 + g**3/33 - 25*g + 1. Find j such that a(j) = 0.
-2, -1, 0, 1/4, 1
Let z = 2973 - 62431/21. Let y(r) be the first derivative of -10 - z*r**3 + 0*r + 0*r**2. Factor y(i).
-2*i**2/7
Let c = 1044 - 1044. Factor -3/2*l**2 + 0 - 3/4*l**3 + c*l.
-3*l**2*(l + 2)/4
Let w(y) be the third derivative of y**8/1008 - y**7/210 - y**6/40 + 23*y**5/180 + y**4/3 - 2*y**3 - 59*y**2. Suppose w(i) = 0. Calculate i.
-2, 1, 3
Let q be 1 - (105/(-25))/3. Let b be (5 - 1)*(-3)/(-3). Let 0 + 9/5*p**3 + q*p**2 - 12/5*p**b + 3/5*p**5 - 12/5*p = 0. What is p?
-1, 0, 1, 2
Let t(b) be the third derivative of b**8/2100 - b**7/700 + b**5/300 + 8*b**3 - 38*b**2. Let d(a) be the first derivative of t(a). What is j in d(j) = 0?
-1/2, 0, 1
Let t(n) be the first derivative of 3*n**5/20 + 3*n**4/2 + 5*n**3/4 - 21*n**2/4 + 102. Let t(o) = 0. Calculate o.
-7, -2, 0, 1
Let p(n) be the first derivative of -31*n**6/12 + 61*n**5/5 - 147*n**4/8 + 26*n**3/3 + n**2 - 136. Find b, given that p(b) = 0.
-2/31, 0, 1, 2
Let t = 496 - 496. Let v(d) be the second derivative of -1/8*d**5 + 0 + 4/15*d**6 - 3/28*d**7 + 0*d**2 + t*d**3 - 1/12*d**4 + 3*d. Factor v(s).
-s**2*(s - 1)**2*(9*s + 2)/2
Suppose 167*v + 25 = 170*v + 5*t, -1 = -v + 2*t. Determine n, given that -2*n**3 + 8/3*n + 4/3*n**2 + 0 + 1/3*n**v - 1/3*n**4 = 0.
-2, -1, 0, 2
Let x(m) be the second derivative of m**4/78 - 131*m**3/39 + 31*m. Determine g, given that x(g) = 0.
0, 131
Suppose u**3 - 3120 - 5*u**3 - 3024 - 152*u**2 - 1792*u = 0. What is u?
-16, -6
Let v be (72/(-48) + 3/(-1))/(-1). What is f in -3/2*f**4 - 3/2*f - 9/2*f**2 - v*f**3 + 0 = 0?
-1, 0
Let a(f) = 3*f**2 + 21*f + 18. Let q be a(-7). Suppose -6*h - q = -15*h. Factor 2/17 + 2/17*d**3 + 6/17*d + 6/17*d**h.
2*(d + 1)**3/17
Let v = 3180 - 3178. Find f, given that 0 - 1/5*f**4 + 2/5*f**3 + 0*f + 3/5*f**v = 0.
-1, 0, 3
What is g in -27*g + 70*g + 26*g**4 - 10 - 401*g**3 + 7*g**5 - 16*g**2 + 351*g**3 = 0?
-5, -1, 2/7, 1
Let g(j) = 7*j**4 - 20*j**3 + 7*j**2 + 30*j + 2. Let w(t) = 85*t**4 - 240*t**3 + 85*t**2 + 360*t + 25. Let k(s) = -25*g(s) + 2*w(s). Factor k(d).
-5*d*(d - 3)*(d - 2)*(d + 1)
Let r = -8/37 - -661/148. Solve 1/2 + 6*y**2 + y**4 - r*y**3 - 13/4*y = 0 for y.
1/4, 1, 2
Let v(i) be the first derivative of -4*i**3/9 + 50*i**2/3 + 130. Factor v(j).
-4*j*(j - 25)/3
Let d(c) = -4*c - 10. Let g be d(-3). Factor 0*v**2 + 8*v + 2 - 8 - 4*v**2 + g*v**2.
-2*(v - 3)*(v - 1)
Let h(i) be the third derivative of i**8/1512 - 2*i**7/945 - i**6/540 + i**5/135 - 73*i**2 - 1. Suppose h(w) = 0. What is w?
-1, 0, 1, 2
Let y(c) be the third derivative of -c**7/105 - 2*c**6/15 - 11*c**5/30 + 5*c**4/3 + 4*c**2 - 1. Find r, given that y(r) = 0.
-5, -4, 0, 1
Let h(z) be the first derivative of -z**6/10 + 3*z**5/5 - 5*z**4/4 + z**3 - 23*z - 14. Let q(l) be the first derivative of h(l). What is w in q(w) = 0?
0, 1, 2
Let h = 3 + -1. Let x = 1 + h. Solve 0*n**2 + 0 - 2/7*n + 6/7*n**x + 4/7*n**4 = 0.
-1, 0, 1/2
Let v(a) be the third derivative of a**6/480 + a**5/24 - 11*a**4/96 - a**2 + 42*a. Suppose v(o) = 0. Calculate o.
-11, 0, 1
Let i(c) = c**3 - c**2 - 2*c**3 - 2*c**2 - 9*c - 9*c**2 + 25. Let r be i(-11). Factor -3*k**2 + 3*k**4 - 3*k + 8*k**r + k**3 - 6*k**3.
3*k*(k - 1)*(k + 1)**2
Suppose 2*m = -2*n + 12, 37 = 5*n + 3*m + 13. Solve -1/4 + 1/4*a**2 + 1/4*a**n - 1/4*a = 0.
-1, 1
Let -2/3*t**3 - 50 - 302/3*t - 154/3*t**2 = 0. Calculate t.
-75, -1
Let q = 40 + -37. Suppose q*p**2 + 5*p**2 + 2*p**2 - 5 - 5*p**2 = 0. What is p?
-1, 1
Let s(u) = u**3 - 10*u**2 + 5*u - 50. Let v be s(10). Factor 0*w + v + 4/9*w**3 + 0*w**2 + 4/9*w**4.
4*w**3*(w + 1)/9
Let z(u) be the second derivative of 18*u + 37/24*u**4 - 17/6*u**3 + 3*u**2 + 1/12*u**6 - 1/168*u**7 + 0 - 39/80*u**5. Find y such that z(y) = 0.
1, 2, 3
Let d be (20/(-5))/(12/(18/(-3))). Solve 16/5*t**3 - 4/5 - 6/5*t**d - 14/5*t + 8/5*t**4 = 0.
-2, -1/2, 1
Let m(w) be the third derivative of -w**6/660 + 14*w**5/165 - 25*w**4/132 - 18*w**3/11 + 505*w**2. Suppose m(k) = 0. What is k?
-1, 2, 27
Suppose -5*z + 8 = -v - 6, -2*v + 2 = 0. Let j(x) be the first derivative of -3/2*x**2 + 6 + 6*x + 3/4*x**4 - 2*x**z. Factor j(q).
3*(q - 2)*(q - 1)*(q + 1)
Let a(u) be the first derivative of -3*u**4/20 - u**3 - 11*u + 12. Let j(x) be the first derivative of a(x). Suppose j(y) = 0. Calculate y.
-10/3, 0
Let y be ((-760)/4 - 0)*1/2. Let j = y - -95. Find v, given that 2/9*v**3 + j + 2/9*v + 4/9*v**2 = 0.
-1, 0
Let o(h) = -h**2 + h + 4. Let j(i) = i**2 + i + 7. Let z(c) = -4*c**2 - 3*c - 22. Let b(y) = -7*j(y) - 2*z(y). Let l(u) = -4*b(u) - 5*o(u). Factor l(m).
m*(m - 1)
Let -2*x**5 + 14*x**5 - 17*x**4 + 37*x**4 - 16*x**4 = 0. Calculate x.
-1/3, 0
Let j be (-4)/(-10) - 69/(-15). Suppose -j*n + 101 = -9. Solve -4*o**3 - 16*o**2 - 16*o + 10*o**2 + n*o**2 = 0 for o.
0, 2
Suppose k = -62*w + 57*w, -3*w = -k. Let c(o) be the first derivative of -11 + 1/2*o**2 + w*o + 1/3*o**3. Find g, given that c(g) = 0.
-1, 0
Suppose -3*k + 24 = 6. Factor 2*x**4 + 8*x**3 + k + 8*x + 2*x**2 + 6 - 10 + 10*x**2.
2*(x + 1)**4
Determine d so that -4840 + 88*d - 