) be the first derivative of 2*l**3/13 + 4*l**2/13 + 2*l/13 + 10. Determine z, given that o(z) = 0.
-1, -1/3
Suppose 7*r = -10 + 31. Find f such that -2 - 35*f**2 - 30*f**r + 10*f**5 + 35*f**4 + 2 + 10*f + 10*f**5 = 0.
-2, -1, 0, 1/4, 1
Let g(c) be the first derivative of -c**6/240 + c**5/60 - c**4/48 - 22*c**3/3 + 26. Let w(f) be the third derivative of g(f). Factor w(i).
-(i - 1)*(3*i - 1)/2
Let i(t) be the second derivative of -8/9*t**3 + 0*t**2 + 0 - 6*t**4 - 81/5*t**6 + 8*t - 81/5*t**5. Find y such that i(y) = 0.
-2/9, 0
Determine s, given that -1/3*s**3 - 221/3*s - 578/3 + 32/3*s**2 = 0.
-2, 17
Let j(c) be the first derivative of 3*c - 1/9*c**3 - 2 + 0*c**2 - 1/36*c**4. Let u(v) be the first derivative of j(v). Find x such that u(x) = 0.
-2, 0
Suppose 0 = 4*u - 20, 3*o - u - 31 = -3*u. Let h be -1 + o + -3 + 0. What is p in -3*p**3 + 5*p - h*p + 2*p - p**4 = 0?
-2, 0, 1
Let z(r) = r**4 + r**2. Let h(u) = 10*u**4 - 5*u**3 + 5*u. Suppose 4 = 2*v - 2*k - k, 0 = 3*k - 6. Let m(i) = v*z(i) - h(i). Find w such that m(w) = 0.
-1, 0, 1
Let w = -32101 + 32149. Factor 0 - 96/7*o + w*o**4 - 720/7*o**3 + 576/7*o**2 - 54/7*o**5.
-6*o*(o - 2)**3*(9*o - 2)/7
Let h(t) = 11*t + 7*t**2 - 2 + 5 + 2 + 8*t**3 + 3*t**3. Let v(z) = 6*z**3 + 5 - 2 + 3*z**2 + 7*z - z. Let k(w) = 3*h(w) - 5*v(w). Factor k(n).
3*n*(n + 1)**2
Let h = -4718/17 + 34250/119. What is t in 50/7 + 10*t - h*t**3 - 48/7*t**2 = 0?
-5/6, 1
Factor 3/2*s**3 + 9/2*s + 3/2 + 9/2*s**2.
3*(s + 1)**3/2
Let n(u) be the first derivative of 2*u**3/57 + 17*u**2/19 + 32*u/19 + 170. Factor n(g).
2*(g + 1)*(g + 16)/19
Suppose 2*p = -5 + 11. Let -22*q**4 + 90*q**3 + 70*q**p + 20*q - 28*q**4 + 76*q - 188*q**2 - 18 = 0. Calculate q.
3/5, 1
Suppose -5*s + 3 = -8*s. Let r(t) = -t**3 - t**2 + t + 1. Let p(q) = 14*q**3 + 10*q**2 - 10*q - 10. Let u = -25 - -15. Let o(m) = s*p(m) + u*r(m). Factor o(v).
-4*v**3
Let t(v) be the second derivative of 2*v**6/15 + 2*v**5/5 - 3*v**4 - 4*v**3/3 + 16*v**2 + 63*v. What is x in t(x) = 0?
-4, -1, 1, 2
Let j = 35/12 + -1649/516. Let u = -118/731 - j. Factor -u*w**4 + 0*w + 0*w**3 + 0 + 0*w**2 + 2/17*w**5.
2*w**4*(w - 1)/17
Let a be (66/12 - 5)*0 + 0. Let m(i) be the third derivative of -i**2 + 0 + a*i + 1/48*i**4 + 1/240*i**5 + 0*i**3. Determine x, given that m(x) = 0.
-2, 0
Let z(q) be the first derivative of -q**3/2 - 3*q**2 - 6*q + 214. Factor z(j).
-3*(j + 2)**2/2
Let m = -77/156 - -337/156. What is i in -m*i - 1 - 1/3*i**2 + 1/3*i**3 = 0?
-1, 3
Let d(q) be the second derivative of 0*q**4 - 1/15*q**3 + 0*q**2 + 1/50*q**5 - 1 - 6*q. Factor d(r).
2*r*(r - 1)*(r + 1)/5
Let i(z) be the second derivative of -z**10/15120 + z**9/7560 + z**8/3360 - z**7/1260 - 5*z**4/6 - 2*z. Let n(v) be the third derivative of i(v). Factor n(q).
-2*q**2*(q - 1)**2*(q + 1)
Let o(u) be the third derivative of u**8/90720 - u**7/11340 - u**6/1080 + 4*u**5/15 - 4*u**2. Let p(v) be the third derivative of o(v). Factor p(y).
2*(y - 3)*(y + 1)/9
Let n(h) be the third derivative of -5/2*h**3 - 5/12*h**4 - 43*h**2 + 1/12*h**5 + 0*h + 0. What is w in n(w) = 0?
-1, 3
Let k(m) = m**2 - 18*m + 15. Let l be k(17). Let h be (l/(-15))/(-1*3/(-9)). Let 2/5*x**2 - h*x**4 + 1/5*x + 0*x**3 - 1/5*x**5 + 0 = 0. What is x?
-1, 0, 1
Let t be ((-18)/(-8))/((-12)/(-96)). Factor -14*j**3 - 22*j**3 + 49*j**3 + 5*j**2 - t*j**3.
-5*j**2*(j - 1)
What is w in 9*w + 5 + 0*w + 24*w + 15*w**2 - 13*w = 0?
-1, -1/3
Let h(z) = 21*z**5 + 85*z**4 + 95*z**3 + 48*z**2 - 3*z - 13. Let t(v) = -7*v**5 - 28*v**4 - 32*v**3 - 16*v**2 + v + 4. Let d(r) = -2*h(r) - 7*t(r). Factor d(w).
(w + 1)**4*(7*w - 2)
Let s(r) be the first derivative of 0*r + 13 - 1/9*r**2 + 0*r**3 + 1/18*r**4. Suppose s(f) = 0. Calculate f.
-1, 0, 1
Let p(v) be the first derivative of -v**6/30 - 2*v**5/5 - 2*v**4 - 16*v**3/3 - 8*v**2 + v + 4. Let g(w) be the first derivative of p(w). Solve g(b) = 0.
-2
Let w(h) = 2*h**2 + 25*h - 13. Let s be w(-17). Let c = s + -977/7. Factor 0*b**3 + 1/7*b**4 - c*b**2 + 0 + 2/7*b.
b*(b - 1)**2*(b + 2)/7
Let i be 1/(20/(-34)) - 4/(-4). Let q = -1/30 - i. Find y, given that 2*y**2 + 8/3*y - q*y**4 - 8/3 - 4/3*y**3 = 0.
-2, 1
Let g(h) be the first derivative of -h**6/9 + 2*h**5/5 - h**4/3 - 4*h**3/9 + h**2 - 2*h/3 - 79. Find r, given that g(r) = 0.
-1, 1
Let k(a) be the first derivative of -a**5/4 + 5*a**4/6 - 5*a**3/6 - 40*a + 10. Let t(f) be the first derivative of k(f). Factor t(q).
-5*q*(q - 1)**2
Let s(d) be the third derivative of -1/2*d**3 + 1/80*d**5 - 3 - 2*d**2 + 0*d + 0*d**4. Solve s(n) = 0 for n.
-2, 2
Let s = 152 + -150. Let w = 4/3 - 1. Factor 2/3*b + w*b**s + 1/3.
(b + 1)**2/3
Let k be 1320/140 + 3*(-12)/(-9). Let z = 394/21 - k. Factor 4/9*d**3 + z*d - 32/9 + 10/3*d**2.
2*(d + 4)**2*(2*d - 1)/9
Let l(p) be the first derivative of p**4/4 - 2*p**3/3 + 3*p**2/2 - 3*p + 2. Let x be l(2). Determine f so that 0*f**2 + 0 + 1/2*f - 1/2*f**x = 0.
-1, 0, 1
Let j(n) be the third derivative of 7*n**6/120 + 113*n**5/5 + 21825*n**4/8 - 9409*n**3/3 + 287*n**2 - n. Factor j(c).
(c + 97)**2*(7*c - 2)
Let 15/7*p + 0 - 1/7*p**2 = 0. What is p?
0, 15
Suppose g - 5*x = 20, 5*g - 4*x - 10 = 6. Let r(t) be the second derivative of 1/75*t**6 - 5*t - 1/30*t**4 + 1/15*t**3 + g + 0*t**2 - 1/50*t**5. Factor r(h).
2*h*(h - 1)**2*(h + 1)/5
Let t be (12/20)/(-17 + 18). Let b be (3 - 2)*-4 - -4. Factor b*g + 4/5 - 1/5*g**3 - t*g**2.
-(g - 1)*(g + 2)**2/5
Let u(l) be the third derivative of -l**8/56 - l**7/105 + 7*l**6/30 + 2*l**5/15 - 2*l**4/3 - l**2. Determine q, given that u(q) = 0.
-2, -1, 0, 2/3, 2
Suppose -19 = -o + 5*h, 4*o = -11*h + 13*h + 22. Let y(a) be the first derivative of -1/26*a**o - 7 + 8/39*a**3 - 5/13*a**2 + 4/13*a. Factor y(z).
-2*(z - 2)*(z - 1)**2/13
Let u(g) = 6*g**2 - 8*g. Suppose 3*d - 4*x - 5 = 0, -3*d - 2*d = -4*x - 11. Let k(i) = i - d*i + i. Let j(s) = -4*k(s) + u(s). Factor j(h).
2*h*(3*h - 2)
Suppose -5*d = 4*j - 18, 5*d + 2 = -53*j + 59*j. Factor -1/2 - 5/4*v**3 - 9/4*v**j - 1/4*v**4 - 7/4*v.
-(v + 1)**3*(v + 2)/4
Solve 2/11*z**2 + 2/11 - 4/11*z = 0 for z.
1
Let h(b) be the second derivative of 3*b**7/49 - 8*b**6/105 - 11*b**5/70 + 5*b**4/21 + 7*b - 20. Factor h(w).
2*w**2*(w - 1)**2*(9*w + 10)/7
Let y(j) = 1 + 2*j**2 + 13*j**2 - 36 - 35*j + 10*j. Let i(n) = 22*n**2 - 37*n - 52. Let q(l) = -5*i(l) + 7*y(l). Factor q(p).
-5*(p - 3)*(p + 1)
Suppose 1088/3*t + 73984/3 + 4/3*t**2 = 0. What is t?
-136
Let p(x) = x. Let n be p(4). Suppose -2*h = -4*b + 14, b + 5*h = 2*b + 10. Find y, given that b*y**n + 2*y**5 + 4*y**2 + 10*y**3 + 0*y + 0*y + 3*y**4 = 0.
-2, -1, 0
Factor -4*d**4 - 12*d + 20*d**2 + 8*d**3 - d**3 - 11*d**3.
-4*d*(d - 1)**2*(d + 3)
Let n be 1 - (-3 + 9)/(-3). Suppose 0 = n*h + 3*x - 72, h - 3 = -4*x + 21. Factor -18*s**2 - s**3 + h + 2*s**4 - 3*s**3 - 11*s**3 - 5*s**4 + 12*s.
-3*(s - 1)*(s + 2)**3
Solve -12*r**4 - 16*r**3 + 10*r**3 + 27*r**2 - 2*r**5 + 48*r - 12*r**4 + 41*r**2 + 4*r**5 = 0.
-1, 0, 2, 12
Let b(c) be the second derivative of c**7/84 - c**5/10 - 73*c. Find g, given that b(g) = 0.
-2, 0, 2
Factor 4/7*b**2 + 2*b**4 + 18/7*b**3 + 0 + 0*b.
2*b**2*(b + 1)*(7*b + 2)/7
Factor -18*f**2 - 52*f**2 - 20*f + 76 + 19*f**3 - 18*f**3 - 20*f + 33*f**2.
(f - 38)*(f - 1)*(f + 2)
Let y(l) = -6*l**5 - 5*l**4 - 5*l**3. Let h(g) = -g**5 - g**3. Suppose -u + 11*u + 60 = 0. Let r(o) = u*h(o) + 2*y(o). Let r(j) = 0. What is j?
-1, -2/3, 0
Let l = -8850 - -8852. Suppose 22*z - l*z**4 + 20 + 106/5*z**3 - 306/5*z**2 = 0. What is z?
-2/5, 1, 5
Let h(u) be the first derivative of 2*u**3/27 + 16*u**2/9 - 34*u/9 - 521. Factor h(s).
2*(s - 1)*(s + 17)/9
Let m(c) be the first derivative of 8*c**5/75 - 7*c**4/30 + 2*c**3/15 + 2. Suppose m(d) = 0. What is d?
0, 3/4, 1
Let p be -1 + (-4 - 1 - -682). Suppose -4*q**2 - 70*q - q**2 - p - 60*q - 169 = 0. Calculate q.
-13
Factor -4673*t**3 + 18*t**4 + 4676*t**3 - 15*t**4.
3*t**3*(t + 1)
Let z(s) be the first derivative of s**6/6 - 4*s**5/15 - 7*s**4/6 - 4*s**3/9 + s**2/2 - 117. Let z(k) = 0. Calculate k.
-1, 0, 1/3, 3
Let s be 19*3/39 + -10 + 11. Solve 2/13*p**2 + s - 16/13*p = 0 for p.
4
Let u(x) be the first derivative of -5*x**3/3 + 7*x**2 - 9*x - 216. Find q, given that u(q) = 0.
1, 9/5
Let u(k) be the third derivative of k**7/6300 - k**6/180 + 3*k**5/100 + 3*k**4/8 - 5*k**2. Let f(o) be 