 + 0 + 5*x. Find s, given that c(s) = 0.
-1
Let i = 25016 + -25012. Find m such that 1/5*m**i + 3/5*m**2 + 9/5*m - m**3 + 0 = 0.
-1, 0, 3
Let t(s) be the second derivative of -4/13*s**2 + 0 + 10*s - 1/13*s**3 + 7/78*s**4. What is p in t(p) = 0?
-4/7, 1
Let -30420 - 352*y - 350*y + 158*y - 236*y - 5*y**2 = 0. What is y?
-78
Let g(w) be the second derivative of 0*w**2 + 2/15*w**3 + 7/150*w**6 + 1/20*w**5 - 3*w - 4/15*w**4 + 0. Let g(v) = 0. Calculate v.
-2, 0, 2/7, 1
Let w = 84/19 - 363/95. Factor 3*o**2 + 9/5 - 21/5*o - w*o**3.
-3*(o - 3)*(o - 1)**2/5
Suppose 3*g - 15 = 0, 6*c + g + 5 = c. Let l be 5*3*c/(-10). Solve -12*k**2 + 14*k + 14*k**2 - 3*k**l + 4 - 17*k**3 = 0 for k.
-1/2, -2/5, 1
Let y(f) be the third derivative of -f**5/300 - f**4/20 + 9*f**3/10 - f**2 + 129. What is o in y(o) = 0?
-9, 3
Let c(v) be the first derivative of -v**4/36 + 13*v**3/27 - 13*v**2/9 - 40*v/9 + 295. Factor c(y).
-(y - 10)*(y - 4)*(y + 1)/9
Solve -19*z**5 - 24*z + 40*z**5 - 57*z**4 + 3*z**3 - 7 + 69*z**2 - 5 = 0 for z.
-1, -2/7, 1, 2
Let w(g) be the third derivative of 41/15*g**5 - 8/3*g**4 - 8*g**3 + 0*g + 0 - 5/84*g**8 + 9*g**2 + 3/10*g**6 - 34/105*g**7. Solve w(a) = 0 for a.
-3, -2, -2/5, 1
Let h(g) be the second derivative of 1/4*g**5 + 5*g**2 + 0 + 1/6*g**6 - 5/4*g**4 - 5/6*g**3 - 5*g. Factor h(c).
5*(c - 1)**2*(c + 1)*(c + 2)
Let 500*k - 5*k**2 - 176*k - 184*k - 260 = 0. What is k?
2, 26
Let m = -16126/3 - -5378. Determine i so that -2*i**3 - 40/3*i**2 + 0 + m*i**4 - 1/3*i**5 - 25/3*i = 0.
-1, 0, 5
Let i(y) be the third derivative of y**9/7560 - y**8/840 + y**7/252 - y**6/180 + 5*y**4/24 - 11*y**2. Let j(b) be the second derivative of i(b). Factor j(f).
2*f*(f - 2)*(f - 1)**2
Let l(r) be the second derivative of -r**5/20 - r**4/3 + 11*r**3/6 - 3*r**2 - 3*r + 22. Suppose l(w) = 0. What is w?
-6, 1
Let y(n) be the second derivative of -n**6/720 - n**5/180 - n**4/144 - 22*n**2 - 2*n - 7. Let b(r) be the first derivative of y(r). Factor b(j).
-j*(j + 1)**2/6
Let u be 8 - ((-7)/(7/(-2)) + 1). Determine z so that -15*z**4 + 3*z**u + 7*z**4 - 2*z**4 - 6*z**3 + 7*z**4 = 0.
-1, 0, 2
Let f = -12727/70 + 1821/10. Let 128/7*b + 0 - 32/7*b**2 + f*b**3 = 0. Calculate b.
0, 8
Suppose -6*u + 10*u - 4 = 0. Factor -19 + u + 405*g**3 - 22 - 630*g**2 - 340*g.
5*(g - 2)*(9*g + 2)**2
Suppose 0 = 4*h + d - 127, 0*h + 2*d = -h + 30. Factor -10 - 33*x**2 - h*x**2 - 8*x + 67*x**2.
2*(x - 5)*(x + 1)
Suppose -8/11*q**3 - 4/11 + 8/11*q**4 + 10/11*q - 4/11*q**2 - 2/11*q**5 = 0. What is q?
-1, 1, 2
Let -50/7*k**3 - 10/7*k**5 + 16/7 + 60/7*k + 38/7*k**2 - 54/7*k**4 = 0. Calculate k.
-4, -1, -2/5, 1
Let o(w) = 10*w**2 + 2*w - 62. Let h(g) = 3*g**2 + g + 1. Let s(t) = 2*h(t) - o(t). Find k, given that s(k) = 0.
-4, 4
Suppose -10*m + 9 = -21. Let q be (-8)/3*(111/(-36) + m). Factor q*p**2 + 2/3*p + 2/9*p**4 - 4/9 - 2/3*p**3.
2*(p - 2)*(p - 1)**2*(p + 1)/9
Let a be 4/(-5)*95/(-38). Let k(g) be the second derivative of 2/5*g**a + 4/15*g**4 + 0 - 1/105*g**7 + 1/25*g**5 - 4*g + 7/15*g**3 - 2/75*g**6. Factor k(m).
-2*(m - 2)*(m + 1)**4/5
Let p(x) be the third derivative of -x**7/1120 + x**5/160 + 3*x**3/2 - 2*x**2. Let y(t) be the first derivative of p(t). Factor y(i).
-3*i*(i - 1)*(i + 1)/4
Let t(p) = -p**3 + 4*p**2 + 2*p - 2. Let y be t(3). Suppose 5*k - g - y = 0, 0*k + g - 1 = -2*k. Factor -k*c**3 - 6*c**2 - 3*c**5 + 6*c**4 + 2*c**3 + 3*c.
-3*c*(c - 1)**3*(c + 1)
Factor 12*r + 9*r**3 + 0 + 3/2*r**4 - 45/2*r**2.
3*r*(r - 1)**2*(r + 8)/2
Let f(i) = -i**3 + 5*i**2 - 3*i - 6. Let v be f(3). Let b(u) = -2*u**3 + 5*u**2 + 4*u - 1. Let s be b(v). Factor 2/7*j + 6/7*j**3 - 6/7*j**s + 0 - 2/7*j**4.
-2*j*(j - 1)**3/7
Let h(g) be the first derivative of -4/45*g**3 + 1/15*g**2 + 14 - 1/45*g**6 + 4/75*g**5 + 0*g + 0*g**4. Let h(q) = 0. Calculate q.
-1, 0, 1
Suppose -26*h + 89 = 11. Let n(a) be the first derivative of 4/15*a**h - 2/5*a + 0*a**4 + 0*a**2 - 2/25*a**5 - 4. Determine i so that n(i) = 0.
-1, 1
Let c(t) be the second derivative of -t**5/10 - 63*t**4/2 - 3969*t**3 - 250047*t**2 - 230*t - 1. Let c(b) = 0. What is b?
-63
Let y(w) = w**2 - 3*w - 3. Let s be y(5). Determine a so that s - 1 - 2 - 4*a**2 + 0 = 0.
-1, 1
Factor -23 - 2*g**2 + g**5 + 21 + 4*g**4 - 56*g**3 + 60*g**3 - 5*g.
(g - 1)*(g + 1)**3*(g + 2)
Let r be 2*(-2)/208*(-3708)/135. Let j = -5/39 + r. Suppose j*s**2 + 3/5*s + 1/5 = 0. What is s?
-1, -1/2
Solve 15*d - 12*d**3 - 5*d**3 + 14*d**3 - 18 + 6*d**2 = 0.
-2, 1, 3
Let l(z) be the second derivative of -z**6/75 + z**5/10 + 7*z**4/10 + 23*z**3/15 + 8*z**2/5 + 2*z + 2. Let l(b) = 0. Calculate b.
-1, 8
Let q(v) be the third derivative of v**11/415800 - v**10/378000 - 11*v**5/60 - 5*v**2. Let s(w) be the third derivative of q(w). Factor s(j).
2*j**4*(2*j - 1)/5
Let u = 42 - 40. Suppose -u*w**3 - w**4 - 7*w**2 + 5*w**2 + 3*w**5 + 2*w**2 = 0. What is w?
-2/3, 0, 1
Suppose -10*x + 72 - 32 = 0. Let r(q) be the second derivative of -2*q + 0*q**2 + 1/12*q**3 - 1/48*q**x + 0. Suppose r(z) = 0. What is z?
0, 2
Let o be 20/6*((5 - 2) + 0). Suppose 3*f = -h - 0*f + o, -5*h + 30 = 5*f. Suppose -4/3 + 4/3*j**3 + h*j - 4*j**2 = 0. Calculate j.
1
Let o = 7280/21849 + 1/7283. Factor -f**2 - o + 1/3*f**3 + f.
(f - 1)**3/3
Let b(t) be the second derivative of -t**5/4 + 25*t**4/3 - 250*t**3/3 - 2*t + 79. Let b(q) = 0. Calculate q.
0, 10
Suppose -48 = 6*b - 18*b. Let c(t) be the third derivative of 0 + 0*t**3 + 0*t - t**2 + 1/150*t**5 - 1/60*t**b. Factor c(a).
2*a*(a - 1)/5
Let m(j) = -j**2 - 4*j - 1. Let c be m(-3). Let u be (-1254)/(-165) - (9 + -2). Find o such that -21/5*o**4 + u*o**3 + 6/5*o - 9/5*o**5 + 0 + 21/5*o**c = 0.
-2, -1, -1/3, 0, 1
Let r(j) = -5*j**2 - 36*j - 76. Let k(d) = -d - 1. Suppose -2*s = -4*s - 3*h - 5, -4*h = 2*s + 6. Let v(f) = s*r(f) - 4*k(f). Determine w, given that v(w) = 0.
-4
Let p(o) be the second derivative of o**4/12 + 23*o**3/3 - 47*o**2/2 - 279*o + 2. Factor p(i).
(i - 1)*(i + 47)
Let t(a) be the first derivative of a**4/6 - 4*a**3/9 - 7*a**2/3 - 8*a/3 + 123. Let t(k) = 0. Calculate k.
-1, 4
Suppose 4*c = -f - 5, 4*c - 10 = -0*f + 2*f. Let t = 4 - c. Factor 3*z**4 - 4*z**4 + 0*z**t - 1 + 2*z**2.
-(z - 1)**2*(z + 1)**2
Find k such that 3*k**2 + 11/2*k + 3 + 1/2*k**3 = 0.
-3, -2, -1
Let g(m) = 5*m + 3. Let j be g(1). Let 197*i**2 + 6*i**4 + 35*i**3 - 164*i**2 - 12 - j*i**3 = 0. Calculate i.
-2, -1, 1/2
Let l(t) be the second derivative of t**6/1440 + t**5/480 - t**4/48 - 11*t**3/6 + 2*t. Let q(s) be the second derivative of l(s). Solve q(x) = 0.
-2, 1
Let x(i) = -2*i**3 + i**2 - i. Let a(h) = 9*h**3 - 5*h**2 + 8*h + 2. Let p(o) = -4*a(o) - 20*x(o). Factor p(d).
4*(d - 2)*(d + 1)**2
Let u be 3 + -2 + 2 + 1. Factor -50*j**2 - u*j + 48*j**2 + 10*j.
-2*j*(j - 3)
Suppose 7 + 5 = 6*t. Let 24*c**t + 2*c**5 - 4*c + 4*c - 5*c**4 - c**4 - 4*c**3 - 16*c = 0. What is c?
-2, 0, 1, 2
Let x be ((-207)/36 - -6)/1. Let b(z) be the third derivative of -2*z**2 + 0*z + 1/2*z**3 + 0 - x*z**4 + 1/20*z**5. Determine k so that b(k) = 0.
1
Suppose 0 = 23*s - 7*s + 31*s - 94. Factor 1/2*r**3 - 2 + 0*r + 3/2*r**s.
(r - 1)*(r + 2)**2/2
Suppose -2*f + 8 = 0, 0 = -3*q + f + 4*f - 11. Let o = 393/680 + 3/136. Factor 3/5*m + 3/5*m**2 - 3/5*m**4 - o*m**q + 0.
-3*m*(m - 1)*(m + 1)**2/5
Factor 2/3*d**2 - 160/3*d + 3200/3.
2*(d - 40)**2/3
Solve -2662/7*r**5 + 33616/7*r**3 + 4128/7*r + 17424/7*r**4 - 21632/7*r**2 - 256/7 = 0 for r.
-2, 2/11, 8
Let k = -84 - -86. Let j(g) be the first derivative of g**3 + 1 + 0*g**k - 4*g - 1/4*g**4. Let j(w) = 0. Calculate w.
-1, 2
Let q(m) be the second derivative of m**7/6 + m**6/12 + 5*m**2 - 4*m. Let y(g) be the first derivative of q(g). Factor y(c).
5*c**3*(7*c + 2)
Let s be -7*(-6 + 111/21). Let r(j) be the first derivative of -1/5*j**2 + 4/5*j - 2/5*j**3 + 1/10*j**4 - 6 + 2/25*j**s. Solve r(i) = 0.
-2, -1, 1
Let k = -153 - -621/4. Let p(f) be the first derivative of -k*f**2 + 27/4*f + 1/4*f**3 - 6. Find x such that p(x) = 0.
3
Let q(k) be the second derivative of 1/2*k**2 + 2 + 1/9*k**3 - 1/36*k**4 - 25*k. Factor q(z).
-(z - 3)*(z + 1)/3
Let b(v) be the second derivative of 27*v**7/980 + 13*v**6/140 + 2*v**5/21 + v**4/21 - 4*v**3/3 + 6*v. Let x(o) be the second derivative of b(o). Factor x(u).
2*(u + 1)*(9*u + 2)**2/7
Suppose 0 = -2*x + x + 11*x. What is l in 1/2*l