p) be the first derivative of u(p). Factor h(f).
2*(f - 2)**2*(f + 7)/5
Let t(i) = 3*i**2 - 39*i + 153. Let y(r) = 6*r**2 - 79*r + 304. Let k(w) = -5*t(w) + 3*y(w). Factor k(x).
3*(x - 7)**2
Let f(k) be the first derivative of 3*k**4/4 - 3*k**3 - 27*k**2/2 - 15*k + 129. Determine b so that f(b) = 0.
-1, 5
Let t(o) be the second derivative of -o**7/33 + 37*o**6/165 - 59*o**5/110 + 35*o**4/66 - 2*o**3/11 + 4*o + 6. Determine i so that t(i) = 0.
0, 2/7, 1, 3
Let c(x) be the second derivative of -x**7/315 + x**5/50 - x**4/45 + 129*x. What is h in c(h) = 0?
-2, 0, 1
Let f(z) be the third derivative of z**8/336 + 3*z**7/140 + 7*z**6/120 + 3*z**5/40 + z**4/24 + 23*z**2 + 2*z. What is g in f(g) = 0?
-2, -1, -1/2, 0
Let w(o) be the third derivative of 7*o**6/40 - 13*o**5/4 + 29*o**4/2 - 14*o**3 - 4*o**2 - 23*o. Factor w(q).
3*(q - 7)*(q - 2)*(7*q - 2)
Let b(l) be the third derivative of -1/15*l**5 + 0*l + 0*l**4 + 4*l**2 + 0*l**3 + 1/105*l**7 + 0 - 7/120*l**6. Factor b(f).
f**2*(f - 4)*(2*f + 1)
Let g(c) be the second derivative of -3*c**5/20 + 3*c**4 + 13*c**3/2 - 9*c. Factor g(o).
-3*o*(o - 13)*(o + 1)
Let 32 + 2/7*q**4 - 222/7*q**3 - 226/7*q**2 + 222/7*q = 0. Calculate q.
-1, 1, 112
Suppose -25/4*u**3 - 36*u + 42*u**2 + 1/4*u**4 + 0 = 0. Calculate u.
0, 1, 12
Factor 3/5*l**3 + 0*l**2 - 18/5 - 21/5*l.
3*(l - 3)*(l + 1)*(l + 2)/5
Let k(t) be the second derivative of t**4/4 + 148*t**3 + 32856*t**2 - 42*t + 2. Factor k(r).
3*(r + 148)**2
Suppose -2*i = 4*y - 8 - 6, 4*i = 5*y + 2. Suppose 0 = -9*l - 3 + i. Find j such that -1/4*j**3 + 1/2 + 3/4*j + l*j**2 = 0.
-1, 2
Let k(o) = 10*o**5 + 28*o**4 - 33*o**3 + 11*o**2 + 41*o - 12. Let d(c) = c**5 + c**4 + c**3 + c**2 + 1. Let n(f) = -36*d(f) + 4*k(f). Factor n(s).
4*(s - 1)**3*(s + 1)*(s + 21)
Let z(m) be the third derivative of m**6/12 + 11*m**5/15 + 7*m**4/3 + 8*m**3/3 - 76*m**2. Suppose z(j) = 0. What is j?
-2, -2/5
Let q(l) be the third derivative of -l**5/8 - 7*l**4/24 + l**3/12 - 79*l**2. Find g, given that q(g) = 0.
-1, 1/15
Let y(n) be the first derivative of 13*n**6/12 - n**5/4 - 43*n**4/16 + n**3/12 + 17*n**2/8 + n - 83. Find j such that y(j) = 0.
-1, -1/2, -4/13, 1
Suppose -3/5*w**2 + 372/5*w - 11532/5 = 0. What is w?
62
Let k(c) = c**3 - 4*c**2 + 5*c - 4. Let s be k(3). Suppose -5*w**3 - 8*w**s - 3*w**4 + 8 + 2*w**2 + 4*w - 2*w**4 + 4*w**4 = 0. Calculate w.
-2, 1
Let u(w) be the second derivative of 4*w**7/21 + 8*w**6/15 - 3*w**5/2 - 7*w**4/6 + 7*w**3/3 + 3*w**2 - 41*w + 1. Determine g, given that u(g) = 0.
-3, -1/2, 1
Find u such that -134/7*u - 52/7 - 10/7*u**2 = 0.
-13, -2/5
Let g(f) be the third derivative of 13*f**2 - 1/12*f**6 + 0*f + 1/12*f**5 + 0 + 1/42*f**7 + 0*f**3 + 0*f**4. Suppose g(l) = 0. What is l?
0, 1
Let n(p) be the third derivative of p**7/490 - p**6/70 + 2*p**4/7 - 8*p**3/7 - 2*p**2 + 16*p. Determine m, given that n(m) = 0.
-2, 2
Let l(x) be the third derivative of -7/3*x**4 + 98/3*x**3 + 1/15*x**5 + 0*x + 0 + x**2. Solve l(a) = 0 for a.
7
Let u(i) be the third derivative of -i**8/1344 - i**7/504 + i**6/144 + i**5/24 - 3*i**4/8 - 2*i**2. Let l(f) be the second derivative of u(f). Factor l(r).
-5*(r - 1)*(r + 1)**2
Let n(z) be the first derivative of 2*z**3/15 - 17*z**2/5 + 129. Factor n(x).
2*x*(x - 17)/5
Solve 0*r - 1/5*r**3 - 1/5*r**5 + 0*r**2 + 2/5*r**4 + 0 = 0.
0, 1
Let k = 4914 - 4912. Find s, given that 0 + 1/5*s**3 + 0*s - s**5 + 0*s**k - 4/5*s**4 = 0.
-1, 0, 1/5
Let w be ((-48)/14)/3 + 1980/630. Determine o, given that 4/3 + 1/3*o**w + 4/3*o = 0.
-2
Let u(w) = 2*w**2 - 6*w. Let i(l) = -6*l**2 + 28*l. Let m(o) = i(o) + 4*u(o). Determine s, given that m(s) = 0.
-2, 0
Let g(v) be the first derivative of -v**6/21 + 2*v**5/5 - 5*v**4/14 - 2*v**3/3 + 6*v**2/7 - 159. Let g(s) = 0. What is s?
-1, 0, 1, 6
Let c(s) be the first derivative of 25*s**4/4 + 290*s**3/3 + 390*s**2 - 360*s - 134. What is f in c(f) = 0?
-6, 2/5
Let i = -11922 - -11925. Let 0 + 2/5*v**4 + 22/5*v**2 - 2*v - 14/5*v**i = 0. What is v?
0, 1, 5
Let c(d) be the second derivative of 3*d**5/20 + 13*d**4/4 + 35*d**3/2 - 147*d**2/2 - 104*d. Factor c(t).
3*(t - 1)*(t + 7)**2
Let p(m) be the second derivative of 3*m**5/140 - m**4/7 - 3*m**3/14 + 27*m**2/7 - m + 108. Factor p(r).
3*(r - 3)**2*(r + 2)/7
Let z(d) be the first derivative of d**6/7 - 4*d**5/35 - 3*d**4/14 + 4*d**3/21 + 134. Determine o, given that z(o) = 0.
-1, 0, 2/3, 1
Let h = -57 - -60. Suppose 0 = -5*q - 2*w + 6, -2*q + 6*q - 14 = h*w. Suppose 3/5*c**q + 1/5*c**3 + 1/5 + 3/5*c = 0. What is c?
-1
Let s(f) be the second derivative of 3/2*f**2 + 7/12*f**3 - 13*f + 0 - 3/40*f**5 - 1/8*f**4 + 1/60*f**6. Find r such that s(r) = 0.
-1, 2, 3
Let g = -679/20 + 34. Let h(i) be the third derivative of g*i**4 - 7*i**2 + 0*i - 2/15*i**3 - 1/150*i**5 + 0. What is m in h(m) = 0?
1, 2
Let r(n) = -3*n - 7. Let l be r(-3). Suppose -2*k + 2*k**4 - k**4 - 9*k**3 - 7*k**l - k**5 + 0*k**4 - 6*k**4 = 0. What is k?
-2, -1, 0
Let i(l) be the third derivative of -l**6/54 + 119*l**5/135 - 116*l**4/9 - 32*l**3/3 - 35*l**2 + 1. Factor i(u).
-4*(u - 12)**2*(5*u + 1)/9
Suppose -6*g = -17 + 5. Let i(y) be the third derivative of 5*y**g + 1/240*y**6 + 0*y**5 + 0 - 1/48*y**4 + 0*y + 0*y**3. Factor i(m).
m*(m - 1)*(m + 1)/2
Suppose -2/3 - 5/6*y**2 + 3/2*y = 0. Calculate y.
4/5, 1
Let l = 38 - 28. Find t, given that -3*t**2 - l + 15*t**3 + 13 - 18*t**3 + 3*t = 0.
-1, 1
Let t be 1 - ((-177)/(-51) - 3). Let p = t - 1/34. Factor 9/4*b**3 + 0 + 1/4*b**5 + p*b + 7/4*b**2 + 5/4*b**4.
b*(b + 1)**3*(b + 2)/4
Suppose 4*f = 4*t - 29 + 1, t - 15 = 5*f. Determine k, given that -9*k**3 + 3*k**4 - k**5 + 2*k**2 + 4*k**t - 5*k**2 + 6*k = 0.
-2, -1, 0, 1
Suppose -3*n - 32 = -41. Let w(b) be the second derivative of 5/8*b**n + 0 - 3/16*b**5 + 2*b - 3/4*b**2 + 1/8*b**4. Factor w(u).
-3*(u - 1)*(u + 1)*(5*u - 2)/4
Let v(j) be the third derivative of 2/135*j**5 + 0 + 1/270*j**6 + 16*j**2 + 0*j + 1/54*j**4 + 0*j**3. Factor v(b).
4*b*(b + 1)**2/9
Find o such that -16/9*o + 2/9*o**2 + 2/9*o**5 - 10/9*o**4 + 8/9 + 14/9*o**3 = 0.
-1, 1, 2
Let b be (-6825)/(-364)*4/10 + -4. Factor -1/4 - 15/8*u - b*u**2.
-(4*u + 1)*(7*u + 2)/8
Let z = -7 - -15. Factor 8*a**2 - 4*a - z*a**4 + 6*a**5 - 6*a**5 + 4*a**5.
4*a*(a - 1)**3*(a + 1)
Factor 1/8*m**5 + 0 - 7/8*m**4 - 5/8*m**2 + 0*m + 11/8*m**3.
m**2*(m - 5)*(m - 1)**2/8
Suppose 13*k - 14*k + 3 = 0. Factor -5*h**2 + 19*h**4 - 24*h**4 - 13*h**k + 3*h**3.
-5*h**2*(h + 1)**2
Let z be (-20)/(-4) - (-1)/84*-418. Let s(n) be the second derivative of 6*n + 0 - z*n**4 - 2/21*n**3 - 1/7*n**2. Factor s(l).
-2*(l + 1)**2/7
Let k(v) = -v + 4. Suppose -4*c - 3*j + 15 = 0, 5*j - 11 = 2*c + 14. Let t be k(c). Find s, given that 0 - 2*s + 0 + 2*s**3 - 6*s**t - 4*s**2 + 10*s**2 = 0.
-1, 0, 1/3, 1
Factor 4/7*v + 0 - 2/7*v**2 - 2/7*v**3.
-2*v*(v - 1)*(v + 2)/7
Let n(t) be the first derivative of -1/2*t**3 + 9 - 10*t + 1/8*t**4 + 3/4*t**2. Let l(q) be the first derivative of n(q). Suppose l(a) = 0. What is a?
1
Let a(h) be the first derivative of -3/16*h**4 + 3*h - 8 + 0*h**2 - 3/4*h**3. Factor a(w).
-3*(w - 1)*(w + 2)**2/4
Let w(j) be the second derivative of j**5/330 - j**4/66 + j**3/33 - 9*j**2/2 + 5*j. Let r(a) be the first derivative of w(a). Let r(i) = 0. Calculate i.
1
Let v(m) be the second derivative of -m**7/42 + 11*m**6/30 + m**5/20 - 11*m**4/12 - 117*m - 2. Solve v(k) = 0.
-1, 0, 1, 11
Let r be -12*(-4)/12 + 4. Suppose -4*q + r*q - 12 = 0. Factor 25/6*x**2 + 7/6*x**4 + 1/6*x**5 + 8/3*x + 19/6*x**q + 2/3.
(x + 1)**3*(x + 2)**2/6
Let g be 33/6 - (-14)/28. Let o(w) be the third derivative of 0 + w**2 - 2/105*w**7 + 0*w**3 - 1/5*w**5 + 0*w - 1/10*w**g - 1/6*w**4. Factor o(j).
-4*j*(j + 1)**3
Let x(i) be the third derivative of -i**7/105 - i**6/12 - 3*i**5/10 - 7*i**4/12 - 2*i**3/3 - 54*i**2. Factor x(w).
-2*(w + 1)**3*(w + 2)
Let n(j) = -j**2 + j - 1. Let b(r) = r**2 + 2*r - 5. Suppose -4*z - 35 = -3. Let t = 10 + z. Let k(x) = t*n(x) - b(x). Find u, given that k(u) = 0.
-1, 1
Let v(y) = -y**2 + 11*y - 18. Suppose -14*q + 3 + 81 = 0. Let o be v(q). Let 0 + o*z**3 + 16/3*z**4 + 8/3*z**2 + 0*z = 0. Calculate z.
-2, -1/4, 0
Suppose 0 = -36*k + 30*k + 486. Solve 81 - 10*g**4 - k + 5*g**5 = 0.
0, 2
Let l(b) be the first derivative of -b**5/30 - b**4/30 + 2*b**2 - 1. Let s(k) be the sec