- 10*y**2 - 29. Suppose d(l) = 0. Calculate l.
-9, 11
Let q be 1/(40/56) + 439 + -440. Let q*k - 2/15*k**3 + 0*k**2 + 4/15 = 0. What is k?
-1, 2
Let j(v) be the first derivative of v**6/30 + 9*v**5/25 + v**4/10 - 14*v**3/3 + 93*v**2/10 - 7*v - 1622. Find r such that j(r) = 0.
-7, -5, 1
Determine t so that -1/7*t**3 - 18/7 + 10/7*t**2 - t = 0.
-1, 2, 9
Let g(b) be the second derivative of -5*b**2 - 29/24*b**4 + 10 - 3/16*b**5 - 1/120*b**6 - 7/2*b**3 + 11*b. Factor g(d).
-(d + 1)*(d + 2)**2*(d + 10)/4
Let s(k) be the second derivative of k**4/4 + 481*k**3/2 + 11*k - 22. Let s(g) = 0. Calculate g.
-481, 0
Let o(p) be the third derivative of 69169*p**5/360 + 263*p**4/24 + p**3/4 - 688*p**2 + p. Solve o(h) = 0.
-3/263
Factor 0 + 224/9*f - 16/3*f**2 - 2/9*f**3.
-2*f*(f - 4)*(f + 28)/9
Let v(f) be the second derivative of -4/75*f**6 - 3/10*f**4 - 2*f - 1/10*f**2 - 7/30*f**3 - 1/5*f**5 - 50. Factor v(o).
-(o + 1)*(2*o + 1)**3/5
Let u be (-175)/(-100) - 722/(-8). Factor -40*s**4 + 0*s**5 + u*s + 173*s**3 - 58*s**3 - 32*s + 5*s**5 - 140*s**2.
5*s*(s - 3)*(s - 2)**2*(s - 1)
Let g(k) be the third derivative of k**8/1344 + 22*k**7/105 + 8257*k**6/480 + 22699*k**5/120 + 22015*k**4/24 + 7225*k**3/3 + k**2 - 357. Factor g(y).
(y + 2)**3*(y + 85)**2/4
Let c = 12105 - 12101. Let q(y) be the second derivative of -2/3*y**3 - 1/12*y**c - 13*y + 0 - 2*y**2. Solve q(z) = 0 for z.
-2
Let g(y) be the second derivative of 1/120*y**6 + 1/20*y**5 - 3/8*y**4 - 7/8*y**2 + 4*y + 0 + 5/6*y**3. Suppose g(j) = 0. What is j?
-7, 1
Let b(y) be the third derivative of 0*y + 1/540*y**6 - 1/180*y**5 + 0 - 7/3*y**3 + 0*y**4 - 13*y**2. Let v(n) be the first derivative of b(n). Factor v(q).
2*q*(q - 1)/3
Let y = -382/23 - -118084/7107. Let l = 35/103 - y. Factor 0*m + l*m**2 - 1/3*m**3 + 0.
-m**2*(m - 1)/3
Let j be (4/(-35)*7)/(2/28). Let s = -11 - j. Suppose 0 + 1/5*q**4 + 0*q - 1/5*q**2 + 1/5*q**3 - s*q**5 = 0. What is q?
-1, 0, 1
Let m be ((-5)/(-20))/((-924)/(-672)). Factor -40/11 + m*g**2 + 38/11*g.
2*(g - 1)*(g + 20)/11
Let a(w) be the first derivative of w**5/20 - 11*w**4/24 + w**3 - 38*w**2 - 35. Let h(x) be the second derivative of a(x). Factor h(b).
(b - 3)*(3*b - 2)
Let x be (20141/132 - 152)/(42/16). Factor -16/9*q + 0 - x*q**2.
-2*q*(q + 8)/9
Let r(x) be the second derivative of 0 + 804357/7*x**2 - 8649/7*x**3 - 1/70*x**5 + 93/14*x**4 + 168*x. Factor r(d).
-2*(d - 93)**3/7
Let f(g) be the second derivative of -g**6/45 - 58*g**5/15 - 247*g**4 - 6084*g**3 + 19773*g**2 + 3679*g. Let f(o) = 0. What is o?
-39, 1
Let f = 11831 + -11827. Let g(c) be the second derivative of 12*c**2 + 14/3*c**3 + 1/3*c**f + 0 + 16*c. Let g(l) = 0. Calculate l.
-6, -1
Let o(i) = -i**3 + 4*i**2 + i. Let c = 12 - 8. Let y be o(c). What is p in 77*p**y - 7*p**2 + 100*p**3 + 48*p**4 + 27*p**2 = 0?
-2/5, 0
Suppose 7*y + 8*y = -5*y. Let o(s) be the third derivative of -1/480*s**5 + y*s - 1/192*s**4 - 2*s**2 + 0*s**3 + 0 + 1/1680*s**7 + 1/960*s**6. Factor o(f).
f*(f - 1)*(f + 1)**2/8
Let i(l) be the first derivative of -l**4/34 + 220*l**3/17 - 27552*l**2/17 + 107584*l/17 - 1644. Let i(d) = 0. Calculate d.
2, 164
Let o = 483/73 - 53717/219. Let p = o + 5731/24. Determine g, given that 1/8*g**3 - p*g + 1/4*g**2 - 1/4 = 0.
-2, -1, 1
Suppose -15*w**2 - 23*w**2 - 2*w**2 - 848*w - 1226178 - 2284*w + 38*w**2 = 0. What is w?
-783
Let d be (-1)/(-1*(-3)/(-6)). Let v be 2*111 + (-2)/(-1). Let -23*h - 23*h**3 - 77*h - v*h**d - 12 - 41*h**3 = 0. What is h?
-3, -1/4
Suppose 0 = 3*g - l - 46 - 23, 4*g = -7*l + 117. Let c be (0 - g/40)/(5/(-25)). Let -16/7*b + 8/7*b**4 + 48/7*b**2 + 0 - 36/7*b**c = 0. Calculate b.
0, 1/2, 2
Let u = -437 - -27. Let f = u + 5340/13. Factor f*l**2 - 2/13*l**3 - 18/13 - 6/13*l.
-2*(l - 3)**2*(l + 1)/13
Let b be ((-993)/378 - (-196)/126)*-7. Factor b*g**2 - 10/3 - 40/3*g.
5*(g - 2)*(9*g + 2)/6
Let v(p) be the second derivative of 0*p**3 + 0*p**2 + 0 + 1/4*p**4 - 3/20*p**5 + 66*p. Factor v(f).
-3*f**2*(f - 1)
Let r(l) be the first derivative of -l**4/44 - 491*l**3/33 + l**2/22 + 491*l/11 - 278. Factor r(q).
-(q - 1)*(q + 1)*(q + 491)/11
Let n(u) = 199*u**3 + 1331*u**2 + 2720*u - 4133. Let o(f) = 47*f**3 + 333*f**2 + 680*f - 1034. Let a(q) = -2*n(q) + 9*o(q). Factor a(d).
5*(d - 1)*(d + 4)*(5*d + 52)
Find u such that 0 + 7/5*u**4 - 1288/5*u**2 - 737/5*u**3 + 428/5*u = 0.
-2, 0, 2/7, 107
Let p(x) = -x**2 - 9*x - 5. Let r be p(-2). Let z be 1/r*(40/50 + 1). Factor -2/5*y**3 + 0*y**2 + 2/5*y + z - 1/5*y**4.
-(y - 1)*(y + 1)**3/5
Let w = -89 - -84. Let g(u) = 3*u**3 - 154*u**2 + 2182*u + 5053. Let b(i) = 2*i**3 - 102*i**2 + 1455*i + 3369. Let c(a) = w*g(a) + 7*b(a). Factor c(v).
-(v - 29)**2*(v + 2)
Let i(o) be the third derivative of 0 - 2/135*o**5 - 1/90*o**6 + 4/27*o**3 - 71*o**2 + 0*o + 1/18*o**4. Factor i(l).
-4*(l - 1)*(l + 1)*(3*l + 2)/9
Let i = 51796/7 + -51794/7. Solve -5/7*q - i + q**2 = 0.
-2/7, 1
Find v, given that 1/8*v**5 - v - 11/8*v**3 + 0 + 0*v**4 - 9/4*v**2 = 0.
-2, -1, 0, 4
Solve 1/3*a**4 - 8/3*a**2 - 8/3*a**3 + 32*a + 48 = 0.
-2, 6
Let b(u) be the first derivative of -3*u**4/4 - 97*u**3/7 + 3*u**2 - 2080. Factor b(i).
-3*i*(i + 14)*(7*i - 1)/7
Let y = -30 - -25. Let a be (y/3)/((-6)/18). Factor a*z**2 - 13*z**2 - 72*z**5 + 4*z**4 + 2*z**4 + 74*z**5.
2*z**2*(z - 1)*(z + 2)**2
Suppose -250*c = 412*c. Let p(t) be the second derivative of -1/4*t**5 + 5/6*t**3 - 14*t + c*t**2 + 0 + 0*t**4. Find m such that p(m) = 0.
-1, 0, 1
Let o be 24 - (76/(-18) + 6)*(-171)/(-38). Let f(h) be the first derivative of -4/3*h**3 + 0*h**2 + o*h + 22. Suppose f(y) = 0. Calculate y.
-2, 2
Let x(v) be the third derivative of 5/3*v**4 + 0*v + 0 - 35/6*v**3 - 1/12*v**5 + 157*v**2. Factor x(a).
-5*(a - 7)*(a - 1)
Factor 1/8*w**4 + 0 + 0*w**3 - 1/2*w**2 + 0*w.
w**2*(w - 2)*(w + 2)/8
Let k(c) = 10*c**4 - 360*c**3 + 2035*c**2 - 3925*c + 2555. Let u(a) = 5*a**4 - 182*a**3 + 1018*a**2 - 1962*a + 1278. Let p(z) = 2*k(z) - 5*u(z). Factor p(s).
-5*(s - 32)*(s - 2)**3
Let k(n) be the first derivative of -3*n**5/10 + 15*n**4/4 - 3*n**3/2 - 81*n**2/2 - 1112. Solve k(j) = 0.
-2, 0, 3, 9
Let x(j) be the second derivative of -j**4/4 - 38*j**3 - 90*j. Factor x(r).
-3*r*(r + 76)
Factor 3/5*l - 3/5*l**3 + 180 - 180*l**2.
-3*(l - 1)*(l + 1)*(l + 300)/5
Factor -2192418/11 - 4188/11*w - 2/11*w**2.
-2*(w + 1047)**2/11
Suppose 4 = -2*t - 2*g + 18, -g + 10 = 2*t. Suppose -8*i**2 - 11*i**t + 9*i**3 + 3*i**3 + 12*i = 0. Calculate i.
0, 2, 6
Solve 4/7*d + 0 - 37/7*d**2 + 9/7*d**3 = 0 for d.
0, 1/9, 4
Let j = -49 + 61. Determine q so that -211 + 418 - j*q**3 + 3*q**4 + 9*q**2 - 207 = 0.
0, 1, 3
Let m(l) = 12*l**2 - 9*l + 1. Let k be m(1). Let a(w) be the third derivative of 1/30*w**6 - 1/6*w**3 + 0 - 1/6*w**k + 0*w + 1/60*w**5 + 11*w**2. Factor a(g).
(g - 1)*(g + 1)*(4*g + 1)
Let n(x) be the third derivative of x**5/15 - 121*x**4/6 + 80*x**3 + 13282*x**2. Determine z so that n(z) = 0.
1, 120
Let a be (-3)/(-1) - (-5)/2*1074/(-895). Let u(o) be the second derivative of -1/3*o**4 + 16/15*o**3 - 27*o + 1/25*o**5 - 8/5*o**2 + a. Solve u(l) = 0 for l.
1, 2
Let d(k) be the first derivative of -k**4/14 + 86*k**3/21 + 234*k**2/7 + 576*k/7 - 2468. Determine h so that d(h) = 0.
-3, -2, 48
What is l in -119*l**3 + 1088*l**2 + 3813*l**4 + 4*l**5 - 1385 - 17*l**3 + 377 - 3893*l**4 + 132*l = 0?
-4, -1, 1, 3, 21
Let r be 294/(-2499) - (-2616)/561. Solve -38/11*g**3 + 14/11*g**4 + 8/11 - 2/11*g**5 + r*g**2 - 32/11*g = 0 for g.
1, 2
Let b = -27 - -27. Suppose -3*u + 0 = 3*l - 3, -2*l + 2 = -5*u. Factor -l + 10*f + 15*f**2 + 1 + b*f**2 + 5*f**3.
5*f*(f + 1)*(f + 2)
Let x(i) be the first derivative of 5*i**4/12 - 196*i**3/3 + 78*i**2 + 217*i + 264. Let p(q) be the first derivative of x(q). What is y in p(y) = 0?
2/5, 78
Let s(w) = -1201 + 1201 - w**2. Let x(f) = -2*f**2 + 40*f. Let b(z) = -4*s(z) + x(z). Factor b(r).
2*r*(r + 20)
Let f(q) be the third derivative of -q**10/37800 + q**8/5040 + q**5/20 + 3*q**4/4 + 13*q**2. Let o(v) be the third derivative of f(v). What is s in o(s) = 0?
-1, 0, 1
Let w(o) be the first derivative of -o**5/2 + 35*o**4/12 + 35*o**3/3 + 25*o**2/2 - 16*o - 53. Let d(f) be the first derivative of w(f). Factor d(k).
-5*(k - 5)*(k + 1)*(2*k + 1)
Suppose 14*q = 25*q - 1540. Find a, given that -83*a**3 - 27*a**3 + 12 - 112*a