+ 0 - 2*k.
2*k*(k - 3)/3
Let i(j) = j**2 - 9*j. Let k be i(9). Suppose h + 4*h = k. Solve f**2 - f - f**4 + f**3 + 0*f + h*f**3 = 0 for f.
-1, 0, 1
Let r be -1 + 6 + -2 + -1. Suppose -r*x + 7*x - 15 = 0. Solve -3*n**x - 5*n - 2 - 4*n**2 + 3*n**3 - n**3 = 0.
-2, -1
Let z(o) be the first derivative of 0*o + 28 - 2/3*o**3 + 0*o**2 - 1/10*o**4. Suppose z(n) = 0. Calculate n.
-5, 0
Let i = 760 + -760. Suppose -8/11 - 2/11*b**4 + i*b + 0*b**3 + 10/11*b**2 = 0. What is b?
-2, -1, 1, 2
Let h(k) be the third derivative of -5/168*k**4 - 1/21*k**3 - 1/840*k**6 + 0 + 0*k - 1/105*k**5 - 13*k**2. Let h(s) = 0. Calculate s.
-2, -1
Let n be 1 + -10 - (-369)/41. Let q(j) be the second derivative of -8*j - 1/60*j**5 + 0 + n*j**2 - 1/90*j**6 + 0*j**3 + 0*j**4. Factor q(p).
-p**3*(p + 1)/3
Let k be 2*16/240*(0 - -6). Factor 1/5*n - k*n**4 + 0 + 9/5*n**3 - 6/5*n**2.
-n*(n - 1)**2*(4*n - 1)/5
Let t(w) = 2*w**2 + 8*w + 2. Let y be t(-4). Let j be (-28)/36 - y - (0 - 3). What is v in -j*v - 4/9 + 2/9*v**2 = 0?
-1, 2
Let m(o) = -o**3 + 5*o**2 - 3*o - 4. Let i be m(4). Let q(b) be the third derivative of i*b + 0*b**4 - 1/12*b**5 - 9*b**2 + 0 + 5/6*b**3. Factor q(g).
-5*(g - 1)*(g + 1)
Suppose -16/9 - 2/9*k**3 + 4/3*k + 2/3*k**2 = 0. What is k?
-2, 1, 4
Suppose 26 - 6 = 5*b. Suppose 3*c - b = c. Factor 3*y + 9*y - 15*y - 12*y**c + 2 - 7*y**3.
-(y + 1)**2*(7*y - 2)
Let n(f) = -2*f**2 + 2*f + 4. Let a(w) = -5*w + 9. Let t(y) = 3*y - 5. Let z(u) = -4*a(u) - 7*t(u). Let j(i) = n(i) + 4*z(i). Factor j(b).
-2*b*(b + 1)
Let v(b) be the third derivative of -5/48*b**4 - 17*b**2 - 1/672*b**8 + 1/4*b**3 - 1/60*b**5 - 1/420*b**7 + 0 + 1/40*b**6 + 0*b. Find z such that v(z) = 0.
-3, -1, 1
Let a(j) = 15*j**2 + 9*j + j**2 - 2*j + 15 + 0*j**2. Let k be a(-6). Factor -549*t - 3*t**2 + k*t.
-3*t**2
Let x(u) be the third derivative of -u**6/780 - u**5/390 + 5*u**4/156 - u**3/13 - 301*u**2. Solve x(j) = 0 for j.
-3, 1
Let c(t) be the third derivative of -t**7/1050 + 3*t**6/200 + t**5/300 - 3*t**4/40 - 77*t**2. Factor c(x).
-x*(x - 9)*(x - 1)*(x + 1)/5
Let s(q) be the third derivative of q**8/1512 - q**7/45 + 37*q**6/270 - 53*q**5/135 + 23*q**4/36 - 17*q**3/27 + 638*q**2. Factor s(d).
2*(d - 17)*(d - 1)**4/9
Let x = -1241/2 + 625. Let v(z) be the first derivative of -4 - z**3 + x*z**2 + 0*z. Determine j so that v(j) = 0.
0, 3
Let p be 1 + 176/(-154) + 30/14. Factor -8/11*m**p - 26/11*m - 6/11.
-2*(m + 3)*(4*m + 1)/11
Let n(r) = -3*r - 7. Let i be n(-4). Factor 12*k**2 - 4*k**4 + 7 - i*k - k**3 - 8 - 1.
-(k - 1)**2*(k + 2)*(4*k + 1)
Let n(q) be the third derivative of -q**6/420 + q**5/105 + 11*q**2 - 6*q. Suppose n(z) = 0. Calculate z.
0, 2
Let z(m) = -12*m + 6. Let n be z(1). Let a(p) = 9*p**3 - 3*p**2 + 3*p + 3. Let v(o) = -o**3 + o**2 - o - 1. Let j(b) = n*v(b) - a(b). Let j(i) = 0. What is i?
-1, 1
Let q be -1 + 11 + (1 - (-2)/1). Let 14*n**3 + n + 3*n - 4*n**2 - q*n**3 = 0. Calculate n.
0, 2
Factor 8*x**3 - 25*x**2 - 15 + 163*x - 3*x**3 - 59*x - 69*x.
5*(x - 3)*(x - 1)**2
Let n(s) be the third derivative of 0*s**3 - 1/15*s**6 + s**2 + 0*s + 2/15*s**7 - 7/15*s**5 + 1/3*s**4 + 0. Factor n(w).
4*w*(w - 1)*(w + 1)*(7*w - 2)
Let p(i) be the first derivative of i**4/20 + 14*i**3/15 - 17*i**2/10 - 6*i + 804. Suppose p(o) = 0. What is o?
-15, -1, 2
Let t(s) = -3*s**2 + 24*s + 23. Let f(y) = -33*y**2 + 240*y + 231. Let l(n) = 2*f(n) - 21*t(n). Suppose l(k) = 0. What is k?
-7, -1
Let n(m) be the third derivative of -5*m**8/336 - m**7/42 + m**6/8 + m**5/12 - 5*m**4/12 - 221*m**2. Let n(b) = 0. Calculate b.
-2, -1, 0, 1
Let l be 2/(-7) + (183/(-7))/3. Let k be (6/l)/(-3 - 24/(-9)). Determine f so that 3/5 - 1/5*f**3 + f + 1/5*f**k = 0.
-1, 3
Suppose v = -4*w - 2*v + 33, -3*w = 5*v - 33. Suppose -3*z + 2*z + 2*h = w, z = -4*h + 12. Let n - 16*n**3 + z*n - 20*n**2 - 9*n - 4*n**4 = 0. What is n?
-2, -1, 0
Let j(w) be the second derivative of -w**6/420 + w**5/210 + w**4/42 - 9*w**2/2 - 15*w. Let o(u) be the first derivative of j(u). Factor o(b).
-2*b*(b - 2)*(b + 1)/7
Suppose -8*d + 1 + 9 = -6. Factor 0*j**d + 0*j + 8/5*j**3 + 2/5*j**5 - 8/5*j**4 + 0.
2*j**3*(j - 2)**2/5
Factor 4/7*s**2 - 4/7*s**4 + 0 + 2/7*s + 0*s**3 - 2/7*s**5.
-2*s*(s - 1)*(s + 1)**3/7
Let p(z) be the first derivative of -z**4/24 + 4*z**3/9 + 31*z**2/12 + 11*z/3 + 174. Suppose p(n) = 0. What is n?
-2, -1, 11
Let h(r) be the third derivative of -1/60*r**6 - 13/45*r**5 - 27*r**2 - 16/9*r**4 + 0 + 0*r - 32/9*r**3. Determine a, given that h(a) = 0.
-4, -2/3
Let i(v) be the first derivative of -v**6/3 - 16*v**5/5 + 5*v**4 + 16*v**3/3 - 9*v**2 - 54. Solve i(g) = 0.
-9, -1, 0, 1
Let g(z) be the second derivative of -169*z**5/80 + 533*z**4/48 - 70*z**3/3 + 49*z**2/2 + 6*z + 8. Factor g(m).
-(m - 1)*(13*m - 14)**2/4
Suppose 22*h - 46 = -h. Let t(p) be the third derivative of 1/270*p**5 + 2/27*p**3 - 1/36*p**4 + 0*p - 2*p**h + 0. Solve t(x) = 0.
1, 2
Let d(k) be the second derivative of 3*k**7/56 - 61*k**6/120 + 121*k**5/80 - 17*k**4/16 - 3*k**3/4 + 79*k. Solve d(l) = 0.
-2/9, 0, 1, 3
Let y(l) = 34*l**2 - 21*l + 10. Let g(f) = 3*f**2 - f - 1. Let j(w) = 22*g(w) - 2*y(w). Factor j(d).
-2*(d - 7)*(d - 3)
Let a(w) be the third derivative of -38*w**2 + 0 + 0*w + 1/210*w**6 + 1/21*w**4 - 1/35*w**5 + 0*w**3. Factor a(q).
4*q*(q - 2)*(q - 1)/7
Suppose -9 = -2*b - b. Suppose b*w = n + 3*n - 23, 20 = -4*w. Let 0 + 8/9*f**n - 8/9*f - 2/9*f**3 = 0. Calculate f.
0, 2
Let u(g) = -g**4 + g**2 - 1. Let w(l) = -4*l**4 + 14*l**2 - 10*l + 1. Let b(i) = -u(i) - w(i). Factor b(a).
5*a*(a - 1)**2*(a + 2)
Let q = 207 + -203. Let y(n) be the second derivative of -q*n + 0*n**3 + 0 + 1/36*n**4 - 1/6*n**2. Factor y(h).
(h - 1)*(h + 1)/3
Suppose 0 = -4*k - 4, 8 = v - 2*k - 0. Suppose -2*o - 3*w = o - v, 4*o + 2*w - 12 = 0. Let q**4 - q**o + q**4 - q**5 = 0. Calculate q.
0, 1
Let s(a) be the second derivative of 5*a**7/42 - 7*a**6/6 + 9*a**5/2 - 25*a**4/3 + 20*a**3/3 + 88*a. Suppose s(k) = 0. What is k?
0, 1, 2
Let f(j) = -15*j**3 + 45*j**2 + 25*j + 5. Let n(b) = 15*b**3 - 43*b**2 - 26*b - 4. Let a(g) = 4*f(g) + 5*n(g). Factor a(d).
5*d*(d - 3)*(3*d + 2)
Let b be ((-20)/(-42))/(490/1372). Let o(g) be the first derivative of 8 + 2*g**2 + 0*g - g**4 + b*g**3 - 4/5*g**5. Factor o(p).
-4*p*(p - 1)*(p + 1)**2
What is b in -2999106/7*b - 2910897/7 - 3/7*b**4 - 894/7*b**3 - 89100/7*b**2 = 0?
-99, -1
Suppose -108 = -o - 46. Suppose 4*q - o = -3*h, -q = -5*q + 8. Let -4*u**3 + u**3 + 21*u**4 - h*u**4 = 0. Calculate u.
0, 1
What is w in -107*w**4 - 16*w + 111*w**4 - 12*w**2 - 14*w**3 + 22*w**3 + 16 = 0?
-2, 1
Suppose -j - 7*j + 328 = 0. Let s = j + -41. Let -1/3*b**2 + s + 2/3*b = 0. What is b?
0, 2
Let j = -193 + 193. Let d(u) be the first derivative of 1 + j*u + 3/4*u**4 - 3*u**2 + u**3. Factor d(a).
3*a*(a - 1)*(a + 2)
Let d(h) be the first derivative of h**9/3024 + h**8/420 + h**7/280 + 8*h**3/3 - 25. Let j(o) be the third derivative of d(o). Let j(r) = 0. Calculate r.
-3, -1, 0
Let h(o) = o**3 - 2*o**2 + o. Let x be h(0). Let z be 0/((-2 - -4)/(x + 2)). Factor -1/5*v**2 + 2/5*v**3 - 1/5*v**4 + 0 + z*v.
-v**2*(v - 1)**2/5
Let p = -9 + 15. Suppose -5*u + 26 = 5*l + p, 3*u - 4 = l. Factor -14*z + u*z**4 + 20*z**3 + 24*z**2 + 48*z**2 + 54 + 122*z.
2*(z + 1)*(z + 3)**3
Let p(a) be the first derivative of 31 + 0*a + 2/21*a**3 + 8/7*a**2. Let p(d) = 0. Calculate d.
-8, 0
Let a(k) be the second derivative of k**4/6 - k**3/3 - k**2/2 - 9*k. Let j be a(-1). Factor 5*p + 2*p - 6*p - 4*p + j*p**2.
3*p*(p - 1)
Factor 3/2*a**4 - 27/2*a**3 + 0 - 63/2*a**2 - 33/2*a.
3*a*(a - 11)*(a + 1)**2/2
Let w(n) be the third derivative of n**5/60 + 5*n**4/24 + 2*n**3/3 + 49*n**2. Let z be w(-1). Let 3/2*l**2 + 1/2*l + z - 2*l**3 = 0. What is l?
-1/4, 0, 1
Suppose -25 + 33 = 4*j. Suppose 0 = -p - 2*p. Let p*i**j + 0*i + 1/4*i**3 + 0 = 0. Calculate i.
0
Let m(k) be the second derivative of k**5/270 - 7*k**4/54 + 49*k**3/27 + 12*k**2 - 8*k. Let s(c) be the first derivative of m(c). Factor s(n).
2*(n - 7)**2/9
Let s(g) be the first derivative of g**4/10 + 86*g**3/5 + 5547*g**2/5 + 159014*g/5 - 581. Factor s(p).
2*(p + 43)**3/5
Let b = -1383/10 + 415/3. Let g(k) be the second derivative of 2*k + 0*k**4 - 1/10*k**5 + 1/3*k**3 + 1/2*k**2 - b*k**6 + 0. Suppose g(l) = 0. What is l?
-1, 1
Let u(f) be the fi