/9 - 14*b + 2. Factor y(u).
-4*(u - 1)**3*(u + 7)**2/9
Let q(i) be the first derivative of i**5/10 + 2*i**4/3 + 5*i**3/3 + 2*i**2 - 11*i - 8. Let r(w) be the first derivative of q(w). What is f in r(f) = 0?
-2, -1
Let v(g) be the second derivative of 0 - 1/48*g**4 + 0*g**2 - 1/160*g**5 - 1/48*g**3 + 20*g. Factor v(m).
-m*(m + 1)**2/8
Let q(k) be the third derivative of k**7/2100 - k**6/600 - k**5/200 + 18*k**2. Find w such that q(w) = 0.
-1, 0, 3
Let l(i) = -8*i**3 - 196*i**2 - 188*i + 4. Let s(m) = 7*m**3 + 194*m**2 + 187*m - 3. Let v(c) = -3*l(c) - 4*s(c). Suppose v(j) = 0. Calculate j.
-46, -1, 0
Let y(h) = 4*h**2 + 7*h + 1. Let f be y(3). Let w = 61 - f. Factor -1/3*u**w - 4/3*u**2 + 0 - 4/3*u.
-u*(u + 2)**2/3
Let r(v) be the first derivative of -v**4/2 - 16*v**3/15 - v**2/5 + 4*v/5 - 9. Factor r(h).
-2*(h + 1)**2*(5*h - 2)/5
Find y such that -14/19*y + 14/19*y**3 - 2/19*y**2 + 2/19 = 0.
-1, 1/7, 1
Suppose 4*d + d - g = 53, -12 = 4*g. Factor h**2 - 39*h**5 + 34*h**5 - 5*h**3 - d*h**4 - h**2.
-5*h**3*(h + 1)**2
Find s, given that -15719*s - 13884*s + 2685*s + 420*s**2 - 2482*s + 686000 + 4*s**3 - 6*s**3 = 0.
70
Let k be 10856/90 + 4/(-18). Let y = -119 + k. Factor 4/5 + 3/5*o**3 - y*o**2 + 0*o.
(o - 2)*(o - 1)*(3*o + 2)/5
Let i(t) = t**3 - 6*t**5 - t**2 + 7*t**5 - 2*t**5. Let h(l) = -l**5 - 5*l**3 + l**2 + 6*l - 4. Let r(f) = 2*h(f) - 6*i(f). Suppose r(z) = 0. What is z?
-2, -1, 1
Let r = 54576/7 - 7796. Suppose -8/7*q - 6/7 + 8/7*q**3 + r*q**2 + 2/7*q**4 = 0. What is q?
-3, -1, 1
Let v(h) be the first derivative of -2*h**6/15 + 36*h**5/25 - 144*h**3/5 + 154. Solve v(q) = 0 for q.
-3, 0, 6
Let q(c) = c**4 - c**3 - c**2 - c + 2. Let x(r) = -18*r**3 + 81*r**2 + 101*r - 2. Let y(a) = 4*q(a) + 4*x(a). Suppose y(f) = 0. What is f?
-1, 0, 10
Find h such that 5/7*h**4 + 2/7*h**3 + 0*h - h**5 + 0 + 0*h**2 = 0.
-2/7, 0, 1
Suppose 2*f = 5*f - 27. Let n = -406 - -815/2. Determine u, given that n*u**2 + f*u + 27/2 = 0.
-3
Let u(j) be the first derivative of 1/39*j**6 - 18 + 0*j**2 - 1/26*j**4 + 0*j + 2/65*j**5 - 2/39*j**3. Let u(p) = 0. Calculate p.
-1, 0, 1
Let a = -33 - -24. Let u be (1/12)/((-1)/(24/a)). Factor 2/9*k**2 + u*k**5 + 0 + 0*k + 2/3*k**3 + 2/3*k**4.
2*k**2*(k + 1)**3/9
Factor 50*j**3 + 401*j**2 + 409*j**2 - 550*j + 97*j + 136 - 219*j.
2*(j + 17)*(5*j - 2)**2
Let h(c) be the second derivative of -c**5/15 - 49*c**4 - 14406*c**3 - 2117682*c**2 + 29*c + 9. Factor h(j).
-4*(j + 147)**3/3
Factor -54*q**2 - 1/2*q**3 - 23328 - 1944*q.
-(q + 36)**3/2
Let p(g) be the first derivative of -3*g**5/5 - 21*g**4/4 - 17*g**3 - 51*g**2/2 - 18*g - 170. Determine d so that p(d) = 0.
-3, -2, -1
Factor 5*d**4 + 2*d + d - 23*d**3 + 9*d + 52*d**2 - 16*d**3.
d*(d - 6)*(d - 2)*(5*d + 1)
Let i(l) be the second derivative of -19 + 4/3*l**3 - l + 1/6*l**4 + 3*l**2. Factor i(d).
2*(d + 1)*(d + 3)
Let w(y) be the first derivative of y**4/3 + 4*y**3/3 + 2*y**2 + 4*y - 7. Let i(s) be the first derivative of w(s). Find k such that i(k) = 0.
-1
Let s(h) be the first derivative of 2*h**3/21 + 2*h**2/7 + 39. Factor s(u).
2*u*(u + 2)/7
Factor 11*x**2 - 16 + 9/2*x**3 + 0*x + 1/2*x**4.
(x - 1)*(x + 2)*(x + 4)**2/2
Let h(p) be the third derivative of -p**8/504 + 20*p**7/189 - 187*p**6/90 + 242*p**5/15 - 1331*p**4/108 + 3*p**2 - 38*p. Find y such that h(y) = 0.
0, 1/3, 11
Let o = -5 - -10. Suppose o*p - 3 = 22. Factor 8 + p*v + 3*v**2 + 4*v - 2 + 0*v.
3*(v + 1)*(v + 2)
Let w(r) be the third derivative of -r**7/2520 + r**6/360 + r**5/40 + 13*r**4/12 - 7*r**2. Let b(f) be the second derivative of w(f). Find q such that b(q) = 0.
-1, 3
Factor 15123/4 + 213/2*q + 3/4*q**2.
3*(q + 71)**2/4
Let m be -2*4/(-1) + 2*(-33)/11. Let -1/5*o**m - 7/5*o - 6/5 = 0. What is o?
-6, -1
Let i be (21/28*-4)/(-4). Factor i*k + 3/8*k**3 + 9/8*k**2 + 0.
3*k*(k + 1)*(k + 2)/8
Let o(y) = 5*y**3 - 35*y**2 + 35*y - 33. Let h(a) = a**3 - 8*a. Let s(t) = -4*h(t) + o(t). Solve s(l) = 0 for l.
1, 33
Let r be (-5)/(-25) + (-265)/(-175). Factor 0*d**3 + 8/7*d - r*d**2 + 4/7*d**4 + 0.
4*d*(d - 1)**2*(d + 2)/7
Suppose -12/7 + 12/7*h**2 - 4/7*h + 4/7*h**3 = 0. What is h?
-3, -1, 1
Let p(y) be the third derivative of y**5/390 - 11*y**4/39 - 2*y**2 - 22. Factor p(w).
2*w*(w - 44)/13
Let x(l) be the third derivative of l**5/30 - 16*l**4/3 + 1024*l**3/3 - 577*l**2. Let x(o) = 0. Calculate o.
32
Let l be ((21/5)/1)/(20/(-100)). Let o be 18/63 - (-6)/l. Let 0*q**4 - 1/4*q + 0*q**2 + o - 1/4*q**5 + 1/2*q**3 = 0. What is q?
-1, 0, 1
Let l(u) be the second derivative of u**10/30240 - 2*u**4 + 21*u. Let a(m) be the third derivative of l(m). Suppose a(x) = 0. What is x?
0
Let w(i) = -i**3 - 28*i**2 - 27*i. Let v(h) = 55*h**2 + 55*h. Let z(m) = 2*v(m) + 5*w(m). Find x such that z(x) = 0.
-5, -1, 0
Let f(g) be the second derivative of -g**7/294 + 4*g**6/105 - 3*g**5/35 - g**4/42 + 13*g**3/42 - 3*g**2/7 + 125*g. Solve f(y) = 0.
-1, 1, 6
Let n be (-12*4/(-96))/(3/51). What is v in -2*v**2 + n*v - 2 = 0?
1/4, 4
Let x = 61 - 55. Factor 3*j**5 + 39*j**2 + 21*j**4 + 45*j**3 - x*j + 34*j - 16*j.
3*j*(j + 1)**3*(j + 4)
Let i(h) = -2*h**3 - 14*h**2 + 30*h + 33. Let s(r) = 11*r**3 + 83*r**2 - 178*r - 199. Let d(n) = 34*i(n) + 6*s(n). Factor d(y).
-2*(y - 6)**2*(y + 1)
Let m = -122 - -122. Let w(z) be the second derivative of -2*z - 1/3*z**2 - 1/6*z**3 + m*z**4 + 0 + 1/60*z**5. Suppose w(h) = 0. Calculate h.
-1, 2
Let i(n) = -53*n + 38. Let r be i(8). Let v = r - -1168/3. What is u in 6*u**2 - v*u**3 + 2/3*u**4 - 14/3*u + 4/3 = 0?
1, 2
Let j(v) = 2*v + 2. Let y be j(4). Let l be 1/(21/y)*(-36)/(-20). Suppose 0*h + 27/7*h**4 + 0 + 0*h**2 - 12/7*h**5 - l*h**3 = 0. What is h?
0, 1/4, 2
Factor -10*m + 0 - 5/4*m**2.
-5*m*(m + 8)/4
Let t(o) be the first derivative of o**5/300 - o**3/30 - 6*o**2 - 31. Let q(p) be the second derivative of t(p). Factor q(m).
(m - 1)*(m + 1)/5
Let d(u) be the third derivative of 0*u + 0 + 0*u**3 - 11/20*u**5 + 1/8*u**6 - 3*u**2 + 1/4*u**4. Factor d(r).
3*r*(r - 2)*(5*r - 1)
Suppose 0 = 3*w + 11 - 26. Let i(h) be the first derivative of 0*h - 1/4*h**4 + 1/5*h**w - 8 + 0*h**3 + 0*h**2. Factor i(q).
q**3*(q - 1)
Solve -130*m**4 - 544*m + 2*m**2 + 128 + 282*m**3 - 175*m**3 + 8*m**5 + 239*m**3 + 190*m**3 = 0.
-1, 1/4, 1, 8
Let r(n) = -n**3 - 13*n**2 - 11*n + 8. Let p be r(-12). Let v be (-30)/(-12) - 2/p. Factor -k**v + 15*k - 75 + 65 - 4*k**3.
-5*(k - 1)**2*(k + 2)
Suppose -4/5*z**2 + 0 + 4/5*z**3 - 1/5*z**4 + 0*z = 0. What is z?
0, 2
Let b(m) be the second derivative of m**5/15 - 52*m**4/3 + 5408*m**3/3 - 281216*m**2/3 + 63*m + 1. Factor b(t).
4*(t - 52)**3/3
Let d(y) = -y**5 + y**4 + y**3 - y**2 + y. Let a(z) = -z**5 + z**4 + 11*z**3 + 5*z**2 - 11*z - 6. Let t(g) = a(g) + d(g). Solve t(s) = 0.
-1, 1, 3
Let v(l) = -46*l**3 - 58*l**2 - 28*l + 4. Let y(g) = 136*g**3 + 176*g**2 + 84*g - 12. Let s(m) = -14*v(m) - 5*y(m). Suppose s(h) = 0. What is h?
-1, 1/9
Solve 62 - 1/2*t**2 - 123/2*t = 0.
-124, 1
Suppose -p + 32 = 3*x + 6, p = 2*x + 11. Suppose 31 = p*m - 3. Solve 0*y - 2/5 + 2/5*y**m = 0 for y.
-1, 1
Find d, given that -3*d**3 + d**3 + 9 - 54*d**2 + 12*d - 2*d**3 + 52*d**2 + d**4 = 0.
-1, 3
Let d(u) be the second derivative of u**7/42 - 23*u**6/30 + 119*u**5/20 + 167*u**4/12 - 20*u**3 - 72*u**2 - u - 172. What is o in d(o) = 0?
-1, 1, 12
Let q be ((-5)/10)/(2/(-20)). Let m be 102/105 + (-2)/5. Solve 2/7*o**q - 8/7*o**2 + 8/7*o + 0 + m*o**4 - 6/7*o**3 = 0 for o.
-2, 0, 1
Let x(u) be the third derivative of -u**6/30 + u**5/3 + 17*u**4/6 - 14*u**3 + 769*u**2. Find k, given that x(k) = 0.
-3, 1, 7
Let h(n) = -722*n - 4323. Let a be h(-6). Determine f so that 81/2*f**2 + a*f + 1/2 = 0.
-1/9
Solve 12800/11 + 320/11*g + 2/11*g**2 = 0 for g.
-80
Let j(i) = -63*i + 9. Let d be j(-2). Let w = d - 672/5. What is k in -3*k**2 - w*k**3 - 12/5 - 24/5*k = 0?
-2, -1
Let y be ((-8)/16)/((-2)/2). Let l = -8623/2 + 4313. Suppose 0*j**4 + j**2 - y*j**5 + 0*j + l*j**3 + 0 = 0. What is j?
-1, 0, 2
Factor -15 + 3/2*c**2 + 9/2*c.
3*(c - 2)*(c + 5)/2
Let y = 3503/34 + -1743/17. Solve -y + 1/4*k**2 + 1/4*k = 0.
-2, 1
Let s be ((-2)/3)/((-20)/120). Suppose -4*n = 4 - s. Factor n*d + 0 + 2/11*d**2.
2*d**2/11
Let u be (-24)/(-108) + (-70)/(-9). Suppose 4*v - u = 4. Factor 5*s**5 + 2*s**4 - 4*s**v - s**5 - 4*s**2 + 0*s**2 + 2*s**4.
4*s**2*(s 