*3*(q - 1)*(q + 1)
Suppose z - 9 = -2*z. Let r(f) be the first derivative of -1/2*f**6 + 7/2*f**2 - 1 + 2*f - 8/5*f**5 - f**4 + 2*f**z. Solve r(y) = 0.
-1, -2/3, 1
Suppose 0 = 2*q - 3 - 3. Factor -1/2*h**2 + 1/4*h**q + 0*h + 0.
h**2*(h - 2)/4
Let b(p) be the third derivative of 4*p**2 + 0 + 0*p - 1/420*p**5 + 1/42*p**4 - 2/21*p**3. Find u such that b(u) = 0.
2
Let z(q) be the first derivative of q**6/21 + 6*q**5/35 - 8*q**3/21 - 13. Factor z(h).
2*h**2*(h - 1)*(h + 2)**2/7
Let f(g) be the second derivative of -g**8/5040 - g**7/945 - g**6/540 + 3*g**4/4 + 10*g. Let m(l) be the third derivative of f(l). Find w such that m(w) = 0.
-1, 0
Let g(b) be the second derivative of b**4/6 - 2*b**3/3 - 3*b**2 - 8*b. Factor g(n).
2*(n - 3)*(n + 1)
Let i be 7/(-12)*6/(-105). Let s(f) be the third derivative of 0 - i*f**5 + 0*f + 0*f**3 - 3*f**2 + 1/12*f**4. Factor s(z).
-2*z*(z - 1)
Let p(i) = 1. Let v(a) = a**2 + 2*a - 1. Suppose -6 - 4 = 5*h. Let m(b) = h*p(b) - v(b). Suppose m(q) = 0. Calculate q.
-1
Let m(p) = p + 4. Let c be m(-11). Let v be 4/(-14) + (-4)/c. Find i, given that 0 + v*i**2 + 4/7*i = 0.
-2, 0
Let v = 101 - 97. Determine q, given that 7*q**3 - 3*q**v - 16/3*q**2 + 0 + 4/3*q = 0.
0, 2/3, 1
Let f(d) be the third derivative of d**5/15 - 5*d**4/6 + 4*d**3 - 3*d**2. Find u such that f(u) = 0.
2, 3
Let d(f) = -3*f**2 - 4*f - 7. Suppose -5*h - 5*l = 30, -1 + 10 = -3*l. Let m(a) = a**2 + 2*a + 3. Let i(q) = h*d(q) - 7*m(q). Determine n so that i(n) = 0.
0, 1
Let z = 66708097/853908 - -7/25876. Let j = 236/3 - z. Suppose -2/11*c**2 + 0 - 6/11*c**4 - j*c**3 - 2/11*c**5 + 0*c = 0. Calculate c.
-1, 0
Let u = 4 + 4. Suppose 0 = -u*y + 13*y. Factor 0*j + 4/7*j**2 - 2/7*j**3 + y - 2/7*j**4.
-2*j**2*(j - 1)*(j + 2)/7
Let r(q) be the first derivative of -q**3 + q + 1/3*q**4 + 2 - 2*q**2 + 3/10*q**5. Let p(u) be the first derivative of r(u). Find o, given that p(o) = 0.
-1, -2/3, 1
Let o(w) be the first derivative of w**7/42 + w**6/15 + w**5/20 + 3*w - 1. Let g(y) be the first derivative of o(y). What is i in g(i) = 0?
-1, 0
Determine y, given that 15/2*y**4 - 23*y**2 + 6*y**3 - 24*y - 9/2 - 2*y**5 = 0.
-1, -1/4, 3
Let o(u) be the first derivative of 2*u**3/7 - 5*u**2/7 - 4*u/7 - 2. Solve o(a) = 0.
-1/3, 2
Let r(t) be the third derivative of t**8/40320 - t**7/3360 + t**6/720 + t**5/15 - 8*t**2. Let k(l) be the third derivative of r(l). Factor k(d).
(d - 2)*(d - 1)/2
Let o be (-72)/(-255) - 8/(-68). Factor o*t**2 - 6/5*t + 4/5.
2*(t - 2)*(t - 1)/5
Let c(z) be the third derivative of -z**5/180 + z**4/9 - 7*z**3/18 + 54*z**2. Find m, given that c(m) = 0.
1, 7
Let h(y) be the third derivative of y**5/30 - y**4/12 - 2*y**3/3 - 10*y**2. Factor h(w).
2*(w - 2)*(w + 1)
Factor -8/11*l**2 - 2/11*l**3 - 4/11 - 10/11*l.
-2*(l + 1)**2*(l + 2)/11
Let p(i) be the first derivative of -1/11*i**2 - 2/33*i**3 + 2 + 1/22*i**4 + 2/11*i. Suppose p(s) = 0. What is s?
-1, 1
Factor -51/5*k - 48/5*k**2 + 18/5 + 21/5*k**3.
3*(k - 3)*(k + 1)*(7*k - 2)/5
Let g(y) be the second derivative of y**8/336 - y**6/60 + y**4/24 - y**2 - 3*y. Let f(x) be the first derivative of g(x). Solve f(u) = 0.
-1, 0, 1
Let f be 5 - (2 - (-1 + 2)). Determine x so that -x**2 - 6*x - f*x**2 + 14 - 17 + 2*x**2 = 0.
-1
Let b be (-1)/3*6/(-8). Let j(z) be the first derivative of -z + 1/3*z**3 + b*z**4 - 1/2*z**2 + 2. Let j(f) = 0. Calculate f.
-1, 1
Let m = 4 + -10. Let k be m/33 + 30/44. Factor y**2 - y**4 - k*y + 0 + 1/2*y**5 + 0*y**3.
y*(y - 1)**3*(y + 1)/2
Let j be 3 - 5/(5/(-3)). Factor 2 - 1 + c**2 + 2 + 2*c**2 + j*c.
3*(c + 1)**2
Let d = 248 + -248. Suppose d*z**2 + 0*z - 3/2*z**3 + 1/2*z**4 + 0 = 0. What is z?
0, 3
Suppose -4*v = 2*j + 3*j + 40, 4*v = 5*j. Let d be (-4)/8 + v/(-2). Factor 3*a + a**2 + 0 - d*a**2 - 2.
-(a - 2)*(a - 1)
Let l(h) be the first derivative of h**6/1980 - h**5/330 + 7*h**3/3 - 4. Let o(r) be the third derivative of l(r). Factor o(y).
2*y*(y - 2)/11
Let z(p) be the first derivative of 2*p**6/3 - 12*p**5/5 + 2*p**4 + 8*p**3/3 - 6*p**2 + 4*p - 3. Let z(l) = 0. Calculate l.
-1, 1
Factor 16/3*s**3 + 16*s - 2/3*s**4 - 6 - 44/3*s**2.
-2*(s - 3)**2*(s - 1)**2/3
Suppose -14*m + 32 = -10. Factor m*i**3 - 3/5*i**4 - 6/5 - 27/5*i**2 + 21/5*i.
-3*(i - 2)*(i - 1)**3/5
Let y(g) be the third derivative of 1/30*g**5 - 1/210*g**7 + 0*g - 1/672*g**8 + 0 + g**2 - 1/48*g**4 - 1/6*g**3 + 1/120*g**6. Solve y(n) = 0 for n.
-2, -1, 1
Solve -5*d**3 - 4*d + 2*d**3 + 7*d**3 - 8*d**2 + 10 - 2 = 0.
-1, 1, 2
Let a(l) be the second derivative of -l**7/10080 + l**6/1440 - l**4/6 + l. Let d(i) be the third derivative of a(i). Let d(m) = 0. Calculate m.
0, 2
Let 20/9*h + 4/9*h**2 + 8/3 = 0. Calculate h.
-3, -2
Let o(h) = -h**4 + h**3 + h + 1. Let r(s) = -2*s**4 - 4*s**3 + 6*s**2 + 5*s + 5. Let n(c) = 5*o(c) - r(c). What is t in n(t) = 0?
0, 1, 2
Suppose -21 = -3*y - 4*z + 1, z - 6 = -y. Suppose y*c = c + 2. Factor c*k**5 + 4*k + 4*k**2 - 3*k**3 - 2*k**4 - 3*k - 2 + k**3 - k**5.
(k - 2)*(k - 1)**2*(k + 1)**2
Let c = -101967/1906 - 2/953. Let a = 58 + c. Factor 17/4*o**2 + 0*o - a*o**3 + 5/4*o**4 - 1.
(o - 2)*(o - 1)**2*(5*o + 2)/4
Let z(g) be the first derivative of g**7/945 - g**5/90 + g**4/54 + 3*g**2 - 4. Let q(y) be the second derivative of z(y). Factor q(i).
2*i*(i - 1)**2*(i + 2)/9
Let k = 37 - 35. Let w(x) be the second derivative of -k*x**2 + 0 + 1/6*x**4 - 1/3*x**3 - x. Solve w(y) = 0.
-1, 2
Solve -21*r - 9/4*r**2 + 15 = 0.
-10, 2/3
Suppose 0 = 2*v - 8*v. Determine g so that -2/7*g**2 + 0 + v*g = 0.
0
Suppose 0*o + 29 = -c + 4*o, -o = -c - 14. Let j be ((-12)/c)/((-2)/(-3)). Let i**4 + 5*i**j - 2*i**3 - 5*i**4 - 3*i**2 = 0. Calculate i.
-1, 0, 1/2
Let v(l) = -l - 2. Let y be v(-4). Find b, given that 2*b - 3*b**2 + 5*b**y + 5*b**3 - 4*b**3 - b = 0.
-1, 0
Let i(g) be the second derivative of -g**7/7560 - g**4/4 - 3*g. Let p(c) be the third derivative of i(c). Factor p(k).
-k**2/3
Suppose 0 = -4*y - 0*y - 60. Let g = y - -23. What is p in p**4 + g*p - 5 - 10*p**3 + p**2 + 2*p**4 + 2*p**3 + 1 = 0?
-1, 2/3, 1, 2
Suppose 0 = -4*s - 4*i - 1 + 9, 3*i = 0. Suppose -3*o - 2*j + 8 = 0, -s*o = -2*j - 2*j + 16. Determine q, given that 0 + 0*q + 1/3*q**3 + o*q**2 = 0.
0
Suppose -5*d + 0*d = -20. Let x = 103 - 103. Factor 1/4*c**d - 1/4*c + x + 1/4*c**3 - 1/4*c**2.
c*(c - 1)*(c + 1)**2/4
Suppose -3*d = -2*v - 17 - 9, 3*v = -2*d. Let n be d/(-4)*(-16)/72. Factor 1/3*k**3 - 1/3*k**2 - n*k**5 + 0 + 0*k + 1/3*k**4.
-k**2*(k - 1)**2*(k + 1)/3
Let l(d) be the second derivative of d**4/4 + 3*d**2 + 2*d. Let j(r) = -r + 1. Let c(k) = -6*j(k) + l(k). Solve c(y) = 0 for y.
-2, 0
Let u be 4/(-2 + 0 - -4). Let i(p) be the first derivative of -2/21*p**3 + 0*p**2 + 0*p + u. Factor i(r).
-2*r**2/7
Let k(a) be the third derivative of -2*a**2 + 1/2*a**4 + 1/6*a**5 + 0*a + 0 + 4/9*a**3 - 5/72*a**6. Factor k(g).
-(g - 2)*(5*g + 2)**2/3
Solve -1/3 + 1/3*d**2 + 0*d = 0.
-1, 1
Let o(c) be the third derivative of -c**7/7560 + c**6/2160 + 7*c**4/24 + 2*c**2. Let g(q) be the second derivative of o(q). Suppose g(a) = 0. What is a?
0, 1
Let t(w) = -w**2 + 3*w. Let j be 6/2*6/9. Let m be t(j). Determine b, given that 2*b**m + 2/3 + 2/3*b**3 + 2*b = 0.
-1
Let b(s) be the second derivative of 0*s**3 + 1/7*s**2 - 4/147*s**7 + 0 - 2/7*s**5 - 5/21*s**4 - 8*s - 1/7*s**6. What is o in b(o) = 0?
-1, 1/4
Suppose -5*o - 4*y = 1, 5*o - 9 = 2*y + 14. Factor 3/7*a**2 - 1/7*a**o + 1/7 - 3/7*a.
-(a - 1)**3/7
Suppose 3*g - 9 - 12 = -5*v, 0 = -3*g - 3*v + 27. Factor -4*m**4 - 3 - 15*m**3 + 11 + 0 + g*m + 3*m**3 - 4*m**2.
-4*(m - 1)*(m + 1)**2*(m + 2)
Let z = 95/564 + -4/47. Let t(s) be the second derivative of 1/2*s**2 - 1/6*s**3 + 0 + 1/20*s**5 + s - z*s**4. Determine b so that t(b) = 0.
-1, 1
Let a(h) be the third derivative of -h**7/420 + h**6/120 + 14*h**2. Let a(n) = 0. Calculate n.
0, 2
Let g(u) be the third derivative of -u**9/30240 - u**8/26880 - u**4/4 + 7*u**2. Let r(t) be the second derivative of g(t). Find o such that r(o) = 0.
-1/2, 0
Let t(f) be the third derivative of -4*f**7/315 - f**6/180 + 2*f**5/45 + f**4/36 + 4*f**2. Find n such that t(n) = 0.
-1, -1/4, 0, 1
Let c(l) be the second derivative of 1/20*l**5 + 0 - 1/6*l**4 + 0*l**2 + 4*l + 1/6*l**3. Factor c(b).
b*(b - 1)**2
Let f = 24 + -17. Let q be f + (-1 - 0) + -3. Suppose 14*b - 19/2*b*