 t**2/7 + 4*t - 14. Suppose j(k) = 0. What is k?
1/43, 1
Let m(j) be the second derivative of j**7/2 - 24*j**6/5 + 84*j**5/5 - 51*j**4/2 + 25*j**3/2 + 9*j**2 - 5*j + 12. Suppose m(v) = 0. Calculate v.
-1/7, 1, 2, 3
Let o(j) = j**3 + 8*j**2 + 11*j + 12. Let f be o(-7). Let w be (f/(-20))/(4/10). Determine r so that 4*r**3 - r**w - 7*r + 4*r**4 + 3*r - 3*r**2 = 0.
-1, 0, 1
Let d(w) be the first derivative of -w**6/660 - 11*w**2/2 - 6. Let c(g) be the second derivative of d(g). Factor c(i).
-2*i**3/11
Let i(f) be the third derivative of f**6/720 + f**5/90 - 11*f**4/144 + f**3/6 + 74*f**2. Factor i(t).
(t - 1)**2*(t + 6)/6
Factor -3 + 16/5*f - 1/5*f**2.
-(f - 15)*(f - 1)/5
Let f(c) = -8*c**2 - 19*c - 3. Let h(r) = -11*r**2 - 18*r - 4. Let j(a) = -4*f(a) + 3*h(a). Factor j(s).
-s*(s - 22)
Let q be 6 - -2 - 180/25. Factor 12/5*n + q + 4/5*n**3 + 12/5*n**2.
4*(n + 1)**3/5
Let t be ((-161)/(-92))/((-35)/(-40)). Find i such that 14/17*i**3 + 36/17*i**4 - 18/17*i**5 - 32/17*i**t + 0 + 8/17*i = 0.
-1, 0, 1/3, 2/3, 2
Let q(l) be the second derivative of -1/4*l**4 + 0 - 10*l**3 - 150*l**2 + 34*l. Determine z so that q(z) = 0.
-10
Let y be (-1 - 2)/((-1)/5). Solve 5*v**5 + y*v**4 + v**2 + 5*v**3 - 4*v - 6*v + 2*v**2 - 18*v**2 = 0 for v.
-2, -1, 0, 1
Let t(v) = 5*v + 28. Let p be t(-5). Let f(u) be the second derivative of 0*u**5 + 1/60*u**6 - 1/24*u**4 - 5*u + 0 + 0*u**2 + 0*u**p. Factor f(n).
n**2*(n - 1)*(n + 1)/2
Factor 2/7*f**4 + 21632/7*f**2 + 0 + 0*f - 416/7*f**3.
2*f**2*(f - 104)**2/7
Let q = 100 - 87. Let 5*z**4 - 2*z - 3*z**2 - q*z**4 + 2*z**3 - 3*z**2 + 4 + 10*z**4 = 0. Calculate z.
-2, -1, 1
Determine h, given that -320 + 3*h**2 - 9*h + 645 - 319 = 0.
1, 2
Let 4/5*w**3 - 2/5*w**5 + 6/5*w**4 + 6/5 - 2/5*w - 12/5*w**2 = 0. What is w?
-1, 1, 3
Let b(c) be the second derivative of c**5/70 + c**4/21 + c**3/21 + 9*c. Find z, given that b(z) = 0.
-1, 0
Let i(q) be the first derivative of 2*q - 2/21*q**3 + 55 + 6/7*q**2. Suppose i(d) = 0. Calculate d.
-1, 7
Let i(l) be the second derivative of 0 - 1/126*l**7 + 0*l**2 + 1/9*l**4 + 17*l - 1/10*l**5 - 1/18*l**3 + 2/45*l**6. Suppose i(q) = 0. What is q?
0, 1
Suppose 2*h - 4 = 2. Factor 9*l + 25*l**3 + 4*l**4 - l**4 - 34*l**3 - h*l**2.
3*l*(l - 3)*(l - 1)*(l + 1)
Let y be (1/4)/(12/48). Factor -y + 0 - 2*q - q**2 - 2*q + 2*q.
-(q + 1)**2
Let t(q) = -7*q**5 + 6*q**4 - 5*q**3 - 8*q**2 - 10. Let u(l) = 4*l**5 - 3*l**4 + 3*l**3 + 4*l**2 + 6. Let v(s) = 3*t(s) + 5*u(s). Suppose v(z) = 0. Calculate z.
-1, 0, 2
Let y = -49 - -77. Let u be 96/(-42) + 8/y + 2. Factor 3/10*f**2 + 1/10*f**4 - 3/10*f**3 - 1/10*f + u.
f*(f - 1)**3/10
Let m(d) = 12*d**3 + 8*d**2 + 12*d - 7. Let s(j) = 15*j**3 + 9*j**2 + 12*j - 6. Let f(u) = -6*m(u) + 5*s(u). Factor f(p).
3*(p - 2)*(p - 1)*(p + 2)
Let h be ((-26)/8 + 2)/((-1)/4). Suppose -h*y = -s - 5, -2*s + 10 = -0*s. Factor -4/7*z**5 + 0*z + 2/7*z**y - 6/7*z**4 + 0 + 0*z**3.
-2*z**2*(z + 1)**2*(2*z - 1)/7
Let l(c) be the second derivative of -c**4/12 - 5*c**3/3 - 11*c**2 - 41*c. Let p be l(-6). Factor -3/8*o**p + 1/8*o + 0 - 1/8*o**4 + 3/8*o**3.
-o*(o - 1)**3/8
Let a(v) = -5*v - 31. Suppose 0 = -3*b - r - 25, -3*b - 5*r = 2*b + 55. Let u be a(b). Factor 0 + 0*p**u + 0*p - 2/9*p**5 + 0*p**2 + 2/9*p**3.
-2*p**3*(p - 1)*(p + 1)/9
Let o be ((-63)/42)/(3/(-4)). Find f, given that 2*f + 0*f - 6*f**4 - 2*f**5 - 4*f**o + 10*f**4 = 0.
-1, 0, 1
Let h(t) be the first derivative of t**4/8 + t**3/2 + 3*t**2/4 + t/2 + 144. Factor h(m).
(m + 1)**3/2
Let m = -5/33 - -20/33. Let p = m - -1/22. Suppose -1/2*t**3 + 1/4*t**5 + p*t**4 - t**2 + 1/4*t + 1/2 = 0. Calculate t.
-2, -1, 1
Let l(o) = 36*o + 2736. Let g be l(-76). Factor 0 - 1/5*m**4 + 16/5*m**3 - 64/5*m**2 + g*m.
-m**2*(m - 8)**2/5
Suppose -s - s = -138. Let t be s/21 - (-2)/(-7). Factor -t*a**5 + 2*a**3 - 2*a**4 - 2*a**3 + 0*a**4.
-a**4*(3*a + 2)
Let d be ((-132)/28)/(-1) - 4/(-14). Factor -3*u**2 + 3*u + d*u**2 + 6 + 5*u.
2*(u + 1)*(u + 3)
Let x be (-102)/4*(-6)/9*-5. Let z = x + 87. Let -1/5*i + 2/5*i**z + 0 - 1/5*i**3 = 0. What is i?
0, 1
Factor -9*u - 8 + 8*u + 54*u**2 + 4*u**3 - 46*u**2 - 3*u.
4*(u - 1)*(u + 1)*(u + 2)
Let d(c) = 2*c**3 + 3*c**2 + 4*c + 3. Let o(p) = p**2 - 1. Let g(b) = b**3 - b**2 + 3*b - 2. Let y be g(1). Let a(i) = y*d(i) + 3*o(i). Factor a(w).
2*w*(w + 1)*(w + 2)
Let q(k) = k**3 - 3*k**2 + 3. Let c be q(3). Solve -3*z + 2 + 4 + 3*z**c + 5*z**2 - 11*z**2 = 0.
-1, 1, 2
Find x such that 12*x**2 + 3104/3*x + 688/3 = 0.
-86, -2/9
Let s be (-17696)/(-4312) - (-2)/11 - 4. Factor s*w**3 - 4/7*w**2 + 0 + 2/7*w.
2*w*(w - 1)**2/7
Let k(z) be the first derivative of -z**6/30 + 11*z**5/20 - 7*z**4/2 + 32*z**3/3 - 16*z**2 + 9*z - 20. Let b(i) be the first derivative of k(i). Factor b(u).
-(u - 4)**2*(u - 2)*(u - 1)
Let b(z) be the second derivative of -z**7/2940 - z**6/630 - 35*z**3/6 - z - 4. Let s(q) be the second derivative of b(q). Suppose s(c) = 0. What is c?
-2, 0
Let 36 - 1030*v**3 + 15*v + 1027*v**3 + 24*v = 0. Calculate v.
-3, -1, 4
Let j(f) = 8*f**2 - 12*f - 23. Let y(k) = 13*k**2 - 25*k - 47. Let z(u) = 10*j(u) - 6*y(u). Factor z(p).
2*(p + 2)*(p + 13)
Let q(i) be the third derivative of -i**5/60 + 5*i**4/12 + 11*i**3/6 + i**2 + 6*i. Find n such that q(n) = 0.
-1, 11
Let c(x) be the first derivative of -x**4/24 + x**2/4 + 3*x + 2. Let y(v) be the first derivative of c(v). Factor y(g).
-(g - 1)*(g + 1)/2
Let z(j) = -4*j. Let k be z(-1). Let h(q) be the second derivative of 0*q**2 + 1/165*q**6 + 4/33*q**4 - 1/22*q**5 + k*q + 0 - 4/33*q**3. Factor h(a).
2*a*(a - 2)**2*(a - 1)/11
Suppose -2*t - z - 3*z = 56, -5*t = 5*z + 160. Let g be (-23*(-3)/t - -2)*2. Factor 1/6 - g*y**3 + 1/2*y**2 - 1/2*y.
-(y - 1)**3/6
Let k(i) be the second derivative of 40*i**7/21 - 4*i**6/3 - 7*i**5/4 - 5*i**4/12 + i + 55. Factor k(v).
5*v**2*(v - 1)*(4*v + 1)**2
Let z be 54/40 + 321/(-535). Factor -3/4 + z*m**2 + 3/4*m - 3/4*m**3.
-3*(m - 1)**2*(m + 1)/4
Determine a, given that 2/5*a**2 - 2*a + 8/5 = 0.
1, 4
Let f(u) be the second derivative of -3*u + 1/480*u**5 + 1/1440*u**6 + 0 + 0*u**4 + 7/6*u**3 + 0*u**2. Let z(h) be the second derivative of f(h). Factor z(a).
a*(a + 1)/4
Factor 373*k - 42*k + 7*k**2 + 0*k - 590 - 2*k**2 + 254*k.
5*(k - 1)*(k + 118)
Let k(w) be the first derivative of w**6/2 + 12*w**5/5 + 3*w**4/4 - 6*w**3 + 43. Suppose k(x) = 0. Calculate x.
-3, -2, 0, 1
Factor -7298 + 1105 + 308*y - 2*y**2 - 3566 - 2099.
-2*(y - 77)**2
Let b be 3/(-90)*3*-8. Let f = -1/20 + b. Find v, given that 3/2*v + 0 - f*v**2 = 0.
0, 2
Let x(o) be the second derivative of 5*o**4/12 + 5*o**3/2 + 5*o**2 + 24*o. Factor x(r).
5*(r + 1)*(r + 2)
Let m be ((-1174)/(-232))/(7/2). Let u = -1/58 + m. Factor -8/7 - u*l**2 - 24/7*l.
-2*(l + 2)*(5*l + 2)/7
Let r(h) = 11*h**2 + 2*h + 3. Let m(n) = -27*n + 3*n**2 + 11*n + 16*n. Let i be (-3)/(-2)*-1*2. Let d(z) = i*r(z) + 12*m(z). Factor d(a).
3*(a - 3)*(a + 1)
Let p(b) be the first derivative of b**4/3 + 4*b**3/3 + 2*b**2 - 12*b + 3. Let z(y) be the first derivative of p(y). Factor z(q).
4*(q + 1)**2
Let -1/3*k**2 - 19/3*k + 0 = 0. Calculate k.
-19, 0
Let d(r) = -14*r**2 + 9*r + 8. Let p(t) = 15*t**2 - 10*t - 8. Let o(a) = -6*d(a) - 5*p(a). Let f(l) = 8*l**2 - 4*l - 8. Let j(k) = 5*f(k) - 4*o(k). Factor j(w).
4*(w - 2)*(w + 1)
Suppose 34*u = -32*u. Let 5*f - 5*f**3 + u + 15/2*f**4 - 15/2*f**2 = 0. Calculate f.
-1, 0, 2/3, 1
Let w(t) be the second derivative of 2*t**7/21 + 4*t**6/5 + 9*t**5/5 + 4*t**4/3 - 190*t. Suppose w(x) = 0. What is x?
-4, -1, 0
Let o(r) be the first derivative of -r**4/6 - 6*r**3 + 88*r**2/3 - 40*r - 439. Factor o(p).
-2*(p - 2)*(p - 1)*(p + 30)/3
Solve 0*m - 40/9*m**2 - 2/9*m**4 + 8/3*m**3 + 0 = 0.
0, 2, 10
Let w(c) = -2*c**2 + 10*c + 38. Let i(v) = -v**2 + 7*v + 20. Let n(o) = 13*i(o) - 6*w(o). Find t, given that n(t) = 0.
-1, 32
Let l = 5 - -2. Factor -2*f - 15*f - f**2 - 36 - l*f - 3*f**2.
-4*(f + 3)**2
Let b be 3/(-9)*-3*-5. Let u be b - -3 - (-8)/2. Solve 2 + 10*a - u - 4*a**2 - 8*a = 0 for a.
0, 1/2
Let 2/3*s**2 + 2 + 8/3*s = 0. Calculate s.
-3, -1
Let w be ((-3)/(-3))/((-119)/(-14) - 6). Suppose -w + 2/5*v**2 + 0*v = 0. Calculate v.
-1, 1
Let u(y) be the third derivative of y**5/210 + 41*y**4/21 + 6724*y**3/21 + 205*y**2 - 2*y. Find k, given that u(k) = 0.
-82
Let k(i) be the first deri