 -u*i + 4/5 + 14/5*i**2 = 0. Calculate i.
2/7, 1
Let m = 633 - 629. Let w(l) be the third derivative of 0*l + 0 + 0*l**3 - m*l**2 + 0*l**4 + 1/105*l**7 + 1/30*l**6 + 1/30*l**5. Solve w(o) = 0 for o.
-1, 0
Let j = -601 + 604. Let n(m) be the third derivative of -6*m**2 - 2/15*m**j - 1/300*m**5 + 0*m + 0 + 1/30*m**4. Factor n(w).
-(w - 2)**2/5
Let c(b) be the first derivative of 2*b**6/15 - 8*b**5 + 38*b**4 - 224*b**3/3 + 74*b**2 - 184*b/5 + 528. Let c(o) = 0. Calculate o.
1, 46
Let c(d) = -3*d + 5. Let z(o) = 2*o - 5. Let m(f) = 3*c(f) + 4*z(f). Let h be m(-8). Factor 7*n**2 - h - 2 + 24*n - 3 - 25*n**2.
-2*(3*n - 2)**2
Let a(d) = d**3 + 42*d**2 - 127*d - 36. Let u(m) = -2*m**3 - 41*m**2 + 126*m + 36. Let q(v) = -6*a(v) - 5*u(v). Solve q(w) = 0 for w.
-1/4, 6
Suppose 4*d - 57 = -37. Factor -d*w**5 + 5*w + 14*w**4 + 10*w - 10*w**2 + 2*w**4 - 5 - w**4 - 10*w**3.
-5*(w - 1)**4*(w + 1)
Solve -60*t + 28/9*t**3 + 2/9*t**4 + 8/3*t**2 + 54 = 0.
-9, 1, 3
Let l = 121407/7 - 17343. Solve l*r**2 - 8/7*r + 2/7*r**4 - 8/7 + 8/7*r**3 = 0 for r.
-2, -1, 1
Let s be (4 + -2)*(-13)/(-13). Let q(w) be the second derivative of 0 - 5*w - 3/140*w**5 + 1/28*w**4 - 3/14*w**s + 1/14*w**3. Find z such that q(z) = 0.
-1, 1
Let n(b) = -b**2 - 16*b + 3. Let a be n(-16). Let i(s) be the third derivative of -1/6*s**a - 1/12*s**4 + 0*s + 0 + 6*s**2 - 1/60*s**5. Solve i(p) = 0.
-1
Let w(n) be the third derivative of -n**6/320 + n**5/40 - n**4/64 - 3*n**3/8 - 54*n**2. Factor w(f).
-3*(f - 3)*(f - 2)*(f + 1)/8
Let z(r) be the second derivative of -r**6/60 - 7*r**5/40 + r**4/12 + 5*r**3 + 18*r**2 - 53*r - 1. Let z(u) = 0. What is u?
-6, -2, 3
Suppose 2*q + 2*j = -71 + 91, -4*j = -5*q - 13. Determine k so that -4*k + 1 - k**4 + k**q + 15/4*k**2 = 0.
-2, 1/2, 2
Let f(g) = -7*g**2 - 6 - 5 + 7*g + g**3 + 10. Let x be f(6). Factor -3*h - 3*h + h + x*h**2.
5*h*(h - 1)
Suppose -3 = 2*b + 5*o - 4, b = -3*o + 1. Let f be 8/(-10)*5/b. Let -u**f + 4*u**2 - 5*u**2 + 5 - 3 = 0. What is u?
-1, 1
Let r = 9/77 - -2437/231. Solve -224/9*c - 2/9*c**5 + r - 32/3*c**3 + 208/9*c**2 + 22/9*c**4 = 0.
2, 3
Let u = -58 - -59. Let f be (u/(-4))/(40/(-1152)). Suppose -3*y**4 + 0 - 6/5*y - 27/5*y**2 - f*y**3 = 0. What is y?
-1, -2/5, 0
Let t = -142 - -145. Suppose -j = 5*y - 7, -4*y + 3*j + 11 = -t*y. Factor 0*z**2 + y*z + 4/3 - 2/3*z**3.
-2*(z - 2)*(z + 1)**2/3
Let m(i) be the third derivative of -i**7/630 + i**6/30 - 4*i**5/15 - i**4/12 - 8*i**3 - 6*i**2. Let o(y) be the second derivative of m(y). Factor o(z).
-4*(z - 4)*(z - 2)
Let b(q) = q**2 - 2*q - 5. Let z be b(7). Factor -56 - 32*h + z - 38 - 4*h**2.
-4*(h + 4)**2
Let v(a) = 5*a + 1. Let u be v(1). Determine g, given that 5*g**3 + 11*g - 2*g**3 - 13*g - 7*g + u*g**2 = 0.
-3, 0, 1
Suppose 0 = -m - 2 - 4, 3*m + 22 = 2*h. Let -2/15*i**h + 0*i + 0 = 0. Calculate i.
0
Let t(w) be the second derivative of 1/18*w**4 + 2 + 1/9*w**3 + 0*w**2 - 8*w. Factor t(f).
2*f*(f + 1)/3
Let l(n) be the second derivative of -n**7/7560 + n**6/1080 + n**5/120 + n**4/2 - 13*n. Let y(g) be the third derivative of l(g). Let y(h) = 0. Calculate h.
-1, 3
Let a(m) = 2*m**5 - m**4 - 3*m**3 + m**2 + m + 3. Let x(y) = -4*y**5 + 3*y**4 + 5*y**3 - 3*y**2 - y - 5. Let l(r) = 5*a(r) + 3*x(r). What is i in l(i) = 0?
-1, 0, 1
Let l(n) be the second derivative of 0 + 0*n**2 - 11*n - 14/15*n**5 - 1/18*n**4 + 2/9*n**3. Factor l(v).
-2*v*(4*v - 1)*(7*v + 2)/3
Determine w, given that -3*w**2 - 20 - 8*w**2 - 4*w**2 + 22*w + 13*w**2 = 0.
1, 10
Let f be 2/(-6)*((-34)/85 - (-68)/(-55)). Suppose f - 6/11*y**2 + 0*y = 0. What is y?
-1, 1
Let 40/7 - 66/7*a**2 + 72/7*a + 10/7*a**3 = 0. Calculate a.
-2/5, 2, 5
Let k(j) = 4*j - 5. Let o be k(3). Factor 0*b + 2*b**2 + 6*b + o*b**2 - 3*b**4.
-3*b*(b - 2)*(b + 1)**2
Let o(l) be the first derivative of l**8/5040 - l**7/420 + l**6/90 - l**5/45 + 5*l**3 - 16. Let j(n) be the third derivative of o(n). Factor j(i).
i*(i - 2)**3/3
Let s(u) be the first derivative of 13 + 15/4*u**4 - 15/2*u**2 - u**3 + 3*u. Solve s(l) = 0 for l.
-1, 1/5, 1
Let w(x) be the first derivative of x**4/26 + 10*x**3/13 - 37*x**2/13 - 102*x/13 - 845. Factor w(j).
2*(j - 3)*(j + 1)*(j + 17)/13
Let q(z) be the first derivative of 11 + 0*z - 6/55*z**5 + 0*z**3 + 9/22*z**4 + 0*z**2. Determine a, given that q(a) = 0.
0, 3
Factor 1/2*d**2 + 15/2 + 4*d.
(d + 3)*(d + 5)/2
Let f(s) be the third derivative of -s**10/1058400 + s**8/141120 - 5*s**5/12 + 21*s**2. Let a(r) be the third derivative of f(r). Factor a(v).
-v**2*(v - 1)*(v + 1)/7
Factor -83667/4 - 3/4*n**2 - 501/2*n.
-3*(n + 167)**2/4
What is l in 123 - 9580*l**2 - 14*l - 11*l + 9583*l**2 + 87*l + 64*l = 0?
-41, -1
Let l = -30 - -39. What is a in a**4 - 26*a**2 + a**5 - l*a**3 + 29*a**2 + 4*a**3 = 0?
-3, 0, 1
Let s(f) = -2*f**3 + 17*f**2 + 83*f + 58. Let b(z) = -5*z**3 + 34*z**2 + 167*z + 114. Let u(h) = 6*b(h) - 14*s(h). Factor u(t).
-2*(t + 1)*(t + 8)**2
Let f(w) be the first derivative of -36/11*w**3 - 162/11*w - 6/11*w**4 + 21 - 2/55*w**5 - 108/11*w**2. Determine x so that f(x) = 0.
-3
Factor 8 - 10/3*c**2 - 16/3*c + 2/3*c**3.
2*(c - 6)*(c - 1)*(c + 2)/3
Let t(m) = -m**2 - 2. Let o(u) = -u**3 - 18*u**2 + u + 3. Let r(i) = -o(i) + 5*t(i). Let r(v) = 0. Calculate v.
-13, -1, 1
Let x(s) be the second derivative of s**6/1620 - s**4/108 + 7*s**3/6 + 9*s. Let b(v) be the second derivative of x(v). Factor b(n).
2*(n - 1)*(n + 1)/9
Let t(s) be the second derivative of 0 + 0*s**2 - 8*s + 1/21*s**7 + 0*s**3 - 1/15*s**6 + 1/6*s**4 - 1/10*s**5. Let t(m) = 0. Calculate m.
-1, 0, 1
Let z(o) be the second derivative of -o**7/840 - o**6/480 + 11*o**2/2 + o. Let r(c) be the first derivative of z(c). Solve r(u) = 0.
-1, 0
Let d(w) be the third derivative of 0 - 5/6*w**5 - 5/336*w**8 + 37*w**2 + 0*w + 1/14*w**7 + 1/4*w**6 - 35/8*w**4 - 15/2*w**3. Factor d(o).
-5*(o - 3)**2*(o + 1)**3
Factor -113*a**2 + 10*a + 125*a**2 - 77*a**2 - 75*a**3.
-5*a*(a + 1)*(15*a - 2)
Suppose 5*b + 4 = 7*b. Let n be 1/((-2)/(-3))*b. Factor -i**3 + 4*i**3 + 5*i**n - i**5 - 4*i - 3*i**5.
-4*i*(i - 1)**2*(i + 1)**2
Let -22/3*o**3 - 2/3*o**4 + 24*o + 0 - 16*o**2 = 0. What is o?
-6, 0, 1
What is o in -1/4*o**2 + 1/2 - 1/4*o = 0?
-2, 1
Let q be (4/(-6))/((-8)/60). Suppose -q*b + 30 = -0*b. Let 4*x - 3 + 1 + x**2 + b = 0. Calculate x.
-2
Let i be (8/(-18))/(52/(-39)). Let j = 143 - 424/3. Solve d**4 - i*d + j*d**3 - d**2 - 4/3*d**5 + 0 = 0.
-1, -1/4, 0, 1
Let v(n) be the first derivative of 0*n**4 + 1/300*n**6 + 0*n**3 + 0*n + 8 + 7/2*n**2 + 2/75*n**5. Let g(h) be the second derivative of v(h). Factor g(c).
2*c**2*(c + 4)/5
Let j = 6092/3 + -2011. Let w = 3436/159 - -56/53. Find z, given that -j*z**3 + 100/3*z**5 + 170/3*z**2 + 8/3 - 205/3*z**4 - w*z = 0.
-1, 1/4, 2/5, 2
Let m(f) be the second derivative of -f**6/180 - f**5/60 + f**4/6 + f**3/6 - 3*f. Let n(j) be the second derivative of m(j). Factor n(v).
-2*(v - 1)*(v + 2)
Let m(t) = 5*t**3 + 217*t**2 - 3660*t - 3888. Let v(o) = -2*o**3 - o**2 - 3*o. Let u(y) = -m(y) - 4*v(y). Solve u(g) = 0 for g.
-1, 36
Let w(f) = -35*f**4 - 28*f**3 + 30*f**2 + 24*f + 1. Let u(p) = 33*p**4 + 27*p**3 - 30*p**2 - 24*p. Let o(i) = 4*u(i) + 3*w(i). Factor o(n).
3*(n - 1)*(n + 1)**2*(9*n - 1)
Suppose -6*p = -9*p + 4*p. Let m(y) be the first derivative of -y**3 - 1/2*y**6 + 3/4*y**4 + 3/5*y**5 + 0*y**2 + 3 + p*y. Solve m(b) = 0.
-1, 0, 1
Let u(a) be the third derivative of a**5/30 - 11*a**4/12 - 4*a**3 - 64*a**2 - a. Factor u(g).
2*(g - 12)*(g + 1)
Let u = -179 + 187. Let a be (-9)/((-9)/(-3)) + 26/u. Factor a*i + 0 - 1/4*i**2.
-i*(i - 1)/4
Let q(o) be the first derivative of -o**4 - 616*o**3/3 - 12160*o**2 - 46208*o + 976. Solve q(p) = 0 for p.
-76, -2
Let s(w) = w**3 + 8*w**2 + 5*w - 12. Let u be s(-7). Factor 53*v**2 + 5*v**3 + 65*v + 0 - 93*v**u - 30.
5*(v - 6)*(v - 1)**2
Let t(u) be the first derivative of -u**3/3 + 11*u**2 + 48*u - 420. Find v, given that t(v) = 0.
-2, 24
Let w(y) be the first derivative of -4 + 1/210*y**5 + 0*y**3 + 3*y**2 + 0*y + 0*y**4. Let g(l) be the second derivative of w(l). Find n such that g(n) = 0.
0
Let -1/5*x**2 + 2*x + 0 = 0. Calculate x.
0, 10
Let i(o) be the first derivative of -o**5/50 + o**4/30 - 8*o + 8. Let k(z) be the first derivative of i(z). Factor k(g).
-2*g**2*(g - 1)/5
Let w(u) be the first derivativ