*5 - 1472*t**4.
-5*t**3*(t - 3)*(t + 1)
Let w(q) = -q**3 + 10*q**2 + 4*q + 2. Let o be w(9). Solve 20*n - 104 - 3*n**2 + 8*n**2 + o = 0.
-3, -1
Let r(n) be the second derivative of n**8/5880 - n**6/315 - 2*n**3/3 + 16*n. Let d(x) be the second derivative of r(x). Factor d(c).
2*c**2*(c - 2)*(c + 2)/7
Let h = 38216/9 - 4246. Find s such that -h - 2/9*s**2 + 4/9*s = 0.
1
Let b(m) be the first derivative of 0*m**2 + 4/5*m**5 + 13/22*m**4 + 8/33*m**6 + 22 + 0*m + 4/33*m**3. Suppose b(c) = 0. What is c?
-2, -1/2, -1/4, 0
Let 4055*n - 4055*n + 111*n**2 + 14*n**2 + 5*n**3 = 0. What is n?
-25, 0
Let p be (-3522)/189 + ((-24)/14)/(-6). Let h = p + 130/7. Factor -h*j**4 - 10/9*j**2 + 4/9*j + 8/9*j**3 + 0.
-2*j*(j - 2)*(j - 1)**2/9
Suppose 2*k - 18 = 2*m, 5*k = -0*k - 5*m - 5. Let l be 5/(5/(-6)) - (-7 - (-5)/5). Factor 11/3*s**2 + 16/3*s**3 + 7/3*s**k + 2/3*s + l.
s*(s + 1)**2*(7*s + 2)/3
Let d(y) be the third derivative of 2*y**7/105 + 229*y**6/60 + 113*y**5/10 - y**4/12 - 113*y**3/3 - 900*y**2. Find w such that d(w) = 0.
-113, -1, 1/2
Suppose -18/23 - 6/23*f + 10/23*f**2 - 2/23*f**3 = 0. Calculate f.
-1, 3
Let m(p) = 4*p**2 - p. Let f be m(-1). Suppose 7 = f*t - 18. Suppose -w**2 + 16 + t*w**2 + 32*w + 48 = 0. Calculate w.
-4
Let i(l) be the second derivative of -46*l + 343/2*l**2 + 0 - 49/2*l**3 - 1/20*l**5 + 7/4*l**4. Factor i(j).
-(j - 7)**3
Determine z, given that -44/5*z - 242/5 - 2/5*z**2 = 0.
-11
Let n(a) = 10*a**2 - 3*a + 8. Let v be n(4). Factor 64*k**2 - 16*k**2 + 128*k - 4*k**4 - v - 124 - 16*k**3 + 24.
-4*(k - 2)**2*(k + 4)**2
Let -15/4*x**3 + 3/2*x**2 + 3*x**4 + 0*x + 0 - 3/4*x**5 = 0. Calculate x.
0, 1, 2
Let u(g) = -22*g**2 + 40*g + 34. Let o(n) = 60*n**2 - 120*n - 103. Let a(b) = 4*o(b) + 11*u(b). Find q, given that a(q) = 0.
-19, -1
Let d(z) be the first derivative of -3*z**5/10 + 63*z**4/8 - 27*z**3 + 783. Factor d(m).
-3*m**2*(m - 18)*(m - 3)/2
Suppose 19*o - 36 = 2. Let n(m) be the second derivative of -1/4*m**3 + 0 + 0*m**o - 1/8*m**4 - 4*m. Suppose n(h) = 0. Calculate h.
-1, 0
Let q(n) be the second derivative of -1/12*n**4 + 0*n**2 - 1/10*n**5 - 7*n + 0 - 1/30*n**6 + 0*n**3. Determine x so that q(x) = 0.
-1, 0
Let u(h) be the third derivative of -1/20*h**5 + 7/16*h**4 + 0*h + 0 - 27*h**2 - h**3 - 1/80*h**6. Factor u(s).
-3*(s - 1)**2*(s + 4)/2
Let t = 87 - 82. Solve 21*m**3 + m**4 - 10*m**3 - t*m**3 + 4*m**2 - 10*m**3 = 0 for m.
0, 2
Let x(s) be the second derivative of -1/5*s**3 + 0 - 4*s - 9/100*s**5 - s**2 - 11/40*s**4. Let z(n) be the first derivative of x(n). Factor z(k).
-3*(k + 1)*(9*k + 2)/5
Let s(r) be the third derivative of 10*r**2 + 2/105*r**7 - 1/5*r**5 + 0 + 0*r**6 + 0*r**3 + 0*r - 1/3*r**4. Let s(z) = 0. Calculate z.
-1, 0, 2
Let s(j) = -70*j**4 + 171*j**3 - 99*j**2 + 31*j + 22. Let p(z) = -14*z**4 + 34*z**3 - 20*z**2 + 6*z + 4. Let n(k) = 11*p(k) - 2*s(k). Factor n(o).
-2*o*(o - 1)**2*(7*o - 2)
Let n(f) be the second derivative of -f**4/78 + 10*f**3/39 - 16*f**2/13 + 57*f. Solve n(i) = 0.
2, 8
Let i(l) be the first derivative of 2*l**5/5 - l**4 - 6*l**3 + 2*l**2 + 16*l - 37. Suppose i(y) = 0. Calculate y.
-2, -1, 1, 4
Let f(z) = -19*z**3 - 44*z**2 - 40*z + 5. Let m(l) = -22*l**3 - 44*l**2 - 40*l + 6. Let t(j) = 6*f(j) - 5*m(j). Factor t(c).
-4*c*(c + 1)*(c + 10)
Let n(u) be the first derivative of 4*u**3/3 - 16*u**2 + 48*u - 75. Factor n(p).
4*(p - 6)*(p - 2)
Let k(o) = -6*o**2 - 67*o + 319. Suppose 150*j - 153*j = -24. Let l(y) = 10*y**2 + 100*y - 478. Let p(z) = j*k(z) + 5*l(z). Let p(i) = 0. What is i?
9
Let m = -103 + 110. Suppose 0*b = m*b - 0*b. Factor -2/5*w + 2/5*w**3 + b*w**2 + 0.
2*w*(w - 1)*(w + 1)/5
Let x(h) = -h - 1. Let i be x(-4). Suppose -2*z - 2*s = -6*s - 24, -4*z = s - 48. Find q such that -6*q**2 - 14*q + 6 + 15*q**i + 11*q - z*q = 0.
-1, 2/5, 1
Factor -50/11 - 48/11*j + 2/11*j**2.
2*(j - 25)*(j + 1)/11
Let n be 1*6/(-9)*-3. Let s(p) = -12*p**2 - n*p**3 + 8*p**2 - 6 + 8*p**2 - 4*p + 2. Let j(l) = l**3 - l**2 + l + 1. Let t(f) = -12*j(f) - 4*s(f). Factor t(w).
-4*(w - 1)*(w + 1)**2
Let t(w) = -7*w**4 + 2*w**3 + 15*w**2 + 6*w - 10. Let h(z) = z**4 - z**2 + 2. Let u(j) = 5*h(j) + t(j). Factor u(r).
-2*r*(r - 3)*(r + 1)**2
Suppose 0 = 17*c - 15*c - 10. Suppose -120*x**2 - 15*x**2 - 45*x**2 - 60*x - c = 0. Calculate x.
-1/6
Let k be (162/(-18) - (-55)/5)*(-3)/(-20). Factor -1/10*w**4 - 1/5*w**3 + k*w**2 + 0*w + 0.
-w**2*(w - 1)*(w + 3)/10
Let l = -58 + 60. Suppose 72*t**3 + 4*t**5 + 10*t - 28*t**4 + 24*t - l*t - 80*t**2 = 0. Calculate t.
0, 1, 2
Let w = -16295 - -65191/4. Find y, given that -5/4*y + 1/2 - y**3 - w*y**2 = 0.
-2, -1, 1/4
Let y(t) = -5*t**3 - 65*t**2 - 5. Let x(m) = 5*m**3 + 65*m**2 + 6. Let z(o) = -5*x(o) - 6*y(o). Solve z(c) = 0.
-13, 0
Factor 24/5*d - 3/5*d**2 - 36/5.
-3*(d - 6)*(d - 2)/5
Let c(a) = -29*a**3 - a. Let v be c(-1). Let b be (-36)/v*10/(-4). Factor 3*n - 5*n + n**b + n.
n*(n - 1)*(n + 1)
Factor 0 + 5/3*t**2 + 0*t + 1/3*t**3.
t**2*(t + 5)/3
Let f(z) be the second derivative of z**7/420 - 3*z**6/100 + 7*z**5/100 + 17*z**4/60 - z**3/4 - 5*z**2/4 + 2*z + 14. Find i, given that f(i) = 0.
-1, 1, 5
Let v(y) be the first derivative of 0*y + 13 + 2/15*y**5 - 2/3*y**2 + 1/3*y**4 - 2/9*y**3. Solve v(a) = 0 for a.
-2, -1, 0, 1
Let x(p) be the first derivative of -p**6/40 + p**5/5 - p**4/2 - 11*p**2/2 + 2. Let o(m) be the second derivative of x(m). Determine k so that o(k) = 0.
0, 2
Let b(n) be the first derivative of 8*n + 17 + 0*n**2 - 2/3*n**3. Factor b(g).
-2*(g - 2)*(g + 2)
Factor -10/3*i**2 + 70/3 + 11/3*i + 1/3*i**3.
(i - 7)*(i - 5)*(i + 2)/3
Let j(h) be the first derivative of h**6/9 - 16*h**5/15 + 23*h**4/6 - 56*h**3/9 + 4*h**2 - 219. Determine x so that j(x) = 0.
0, 1, 2, 3
Let c(y) be the third derivative of y**8/1176 - y**7/735 - y**6/70 + 2*y**5/105 + 2*y**4/21 - y**2 - 269*y. Find v, given that c(v) = 0.
-2, -1, 0, 2
Let t = -337/13 - -4331/143. Factor 0*i + 32/11 - t*i**2 - 6/11*i**4 + 32/11*i**3.
-2*(i - 2)**3*(3*i + 2)/11
Let u(y) be the second derivative of -4*y**6/45 - 32*y**5/15 + y**4/6 + 47*y**3/9 - 16*y**2/3 - 2*y - 23. Find d, given that u(d) = 0.
-16, -1, 1/2
Let s be (4/(-6))/((-3)/(-27)*-2). Factor 2*r - 5*r + r - 2*r**s - 2*r**5 + 6*r**3.
-2*r*(r - 1)**2*(r + 1)**2
Let k(b) be the third derivative of -5/12*b**4 + 0*b**3 + 1/4*b**5 + 0 + 0*b - 27*b**2 - 1/24*b**6. Factor k(s).
-5*s*(s - 2)*(s - 1)
Let b(n) = -n**3 - 12*n**2 - 15*n + 2. Let z be b(-11). Suppose -z*s = -51*s. Factor s*w + 50/3*w**3 + 0 - 2*w**2 + 32/3*w**5 - 112/3*w**4.
2*w**2*(w - 3)*(4*w - 1)**2/3
Suppose 4*u - 19 = 2*x - 3*x, 2 = -2*x. Suppose 3*q + 4 = u*q. Solve 0 + 3/5*c**q - 6/5*c**3 + 3/5*c = 0.
-1/2, 0, 1
Suppose 12*m - 8*m + 20 = -5*y, 3*y + 12 = -5*m. Let r be (-5)/(340/(-144)) + -2. Solve -r*o**4 - 6/17*o**2 + m - 2/17*o - 6/17*o**3 = 0.
-1, 0
Let j(p) = -2*p - 9. Let y be j(-6). Find k, given that 67*k + y*k**2 - 3 - 70*k - 3 = 0.
-1, 2
Let d be (-6)/33 - (-25)/(3575/26). Let 7/4*w**4 + w - 4*w**2 + 5/4*w**3 + d = 0. What is w?
-2, 0, 2/7, 1
Let j be 297/(-440) + (-4)/(-5). Let -1/4*c - 9/8*c**3 + j*c**4 + 0 - 9/8*c**2 + 3/8*c**5 = 0. What is c?
-1, -1/3, 0, 2
Let s(c) be the first derivative of 4/13*c - 3/13*c**2 - 17 + 2/39*c**3. Suppose s(i) = 0. What is i?
1, 2
Let a = -5 + 20. Determine i so that 86 - 86 - 5*i**2 - a*i = 0.
-3, 0
Let s(b) be the second derivative of -b**7/168 + b**6/36 - b**3/6 - 7*b. Let m(t) be the second derivative of s(t). Solve m(g) = 0 for g.
0, 2
Factor 16*w**4 - 16 + 4*w**5 - 22 - 40*w**3 - 60*w - 27 - 112*w**2 + 65.
4*w*(w - 3)*(w + 1)**2*(w + 5)
Let m = 1339/20 - 67. Let u = 4/5 + m. Let 15/2*p**3 - u*p**4 - 27*p**2 - 81/4 + 81/2*p = 0. What is p?
1, 3
Let u = 33/20 + -7/5. Let v(t) be the second derivative of u*t**2 + 0 - 1/60*t**6 + 3*t + 1/6*t**3 - 1/20*t**5 + 0*t**4. Determine g so that v(g) = 0.
-1, 1
Let x = -13206 - -13208. Find m, given that 15/4*m**3 - 5/4*m**x - 5/2*m + 0 + 5/4*m**4 - 5/4*m**5 = 0.
-1, 0, 1, 2
Let i(s) = -s**2 - 11*s - 13. Let o be i(-9). Factor -40*n**3 - 2*n**4 - 20*n - 72 + 6*n**4 + 76 + 16*n**4 + 40*n**2 - 4*n**o.
-4*(n - 1)**5
Let f(g) = -5*g**2 + 4*g - 21. Let s(a) = -a**2 + a - 5. Let o(y) = -2*f(y) + 9*s(y). Let m be o(-4). Solve m - 4*v - 7 + v**2 + 2 = 0.
2
Let m(u) be the first derivative of 4*u**3/3 - 4