36 + g**7/105 + 47*g**6/120 + 8*g**5/15 - 26*g**4/3 + 64*g**3/3 + 1969*g**2. Let o(f) = 0. Calculate f.
-4, 1, 8
Let d(b) = 7*b**3 + 7*b**2 - 75*b + 133. Let t(q) be the first derivative of q**4/4 - q**3/3 + q - 16. Let y(h) = 5*d(h) - 40*t(h). Find f, given that y(f) = 0.
5
Let p be (-110)/(-275)*(-5 - (-85)/3). Solve 34/3*c**2 - 64/3 + p*c + 2/3*c**3 = 0 for c.
-16, -2, 1
Let w be (1490/560)/(1/18). Let b = w + -171/4. Factor b*c**2 - 8/7*c + 0 - 60/7*c**3 + 44/7*c**4 - 12/7*c**5.
-4*c*(c - 1)**3*(3*c - 2)/7
Let b(g) be the first derivative of -2*g**3/3 + 36*g**2 - 520*g - 641. Determine q so that b(q) = 0.
10, 26
Let d(z) be the third derivative of -z**10/196560 + z**9/24570 - z**8/10920 + 33*z**4/8 - 99*z**2. Let i(g) be the second derivative of d(g). Factor i(a).
-2*a**3*(a - 2)**2/13
Let x(p) be the third derivative of 19*p**5/60 - 19*p**4/24 + p**3/3 - 2*p**2 + 165. Let n be x(1). Factor 1/4*z**n + 0 - 1/2*z.
z*(z - 2)/4
Factor -116/7*l**2 + 0 + 0*l - 4/7*l**3.
-4*l**2*(l + 29)/7
Let x(h) be the third derivative of 2*h**7/525 - 3*h**6/100 - h**5/15 + 9*h**4/20 - 2*h**3/3 - 2*h**2 + 4*h + 46. Let x(t) = 0. What is t?
-2, 1/2, 1, 5
Let a = 805171/104 + -61935/8. Find i, given that 10/13*i**4 + 0 + 14/13*i**2 + 18/13*i**3 + 4/13*i + a*i**5 = 0.
-2, -1, 0
Let l = 5869 - 5866. Let c(s) be the third derivative of -5/3*s**5 + 4/3*s**l - 5/6*s**4 + 0 + 4*s**2 + 0*s. Factor c(i).
-4*(5*i - 1)*(5*i + 2)
Let r(d) be the second derivative of d**4/4 + 67*d**3/2 + 99*d**2 - 733*d. Suppose r(p) = 0. What is p?
-66, -1
Let d(z) = z**3 + 10*z**2 + 10*z - 4. Let v be d(-8). Factor -20 - 4*f**5 - 14*f**4 - 35*f**3 + 27*f**4 + 15*f**4 - 5*f**3 + v*f - 8*f**2.
-4*(f - 5)*(f - 1)**3*(f + 1)
Let 1/2*p**5 + 3/2*p**4 + 0 - 33*p**3 + 60*p + 26*p**2 = 0. What is p?
-10, -1, 0, 2, 6
Let h(x) = -x**3 + 74*x**2 - 105*x + 2349. Let s be h(73). Let c(j) be the first derivative of -4/21*j**3 + 16/7*j + s + 6/7*j**2. Factor c(t).
-4*(t - 4)*(t + 1)/7
Let q(o) be the third derivative of -o**6/2520 + 61*o**5/420 - 3721*o**4/168 + 61*o**3/6 + 26*o**2. Let x(a) be the first derivative of q(a). Factor x(y).
-(y - 61)**2/7
What is m in 1020327*m**2 + 124*m - 3340*m - 1020330*m**2 - 861888 = 0?
-536
Let k(s) be the third derivative of -s**8/168 + 17*s**7/105 + 131*s**6/60 - 97*s**5/6 + 257*s**4/6 - 176*s**3/3 - 5296*s**2. Let k(w) = 0. What is w?
-8, 1, 22
Let g be (-6)/10*(-14 + 4). Let p be ((-80)/35)/8 - (-32)/14. Factor -12 - 3/4*r**p + g*r.
-3*(r - 4)**2/4
Suppose h - 3*l - 29 = 2*l, 0 = -5*h + 2*l + 30. Suppose 575*b**2 - 53*b**2 + 312*b + 84 + 5 + 6*b**h + 219*b**3 + 13 + 99*b = 0. What is b?
-34, -1, -1/2
Let x = 48 - 50. Let l be -2 + 7 - x/(-1). What is k in -3*k**2 + 7*k**2 - 4*k**3 - 2*k**2 + 3*k**l = 0?
0, 2
Solve -3/4 + 19/8*b + 7/8*b**2 = 0.
-3, 2/7
Let x be 4 - (242/66 + 3/9). Let k(i) be the first derivative of -5 + x*i - 3/5*i**2 + 2/15*i**3. Factor k(w).
2*w*(w - 3)/5
Let h be 390312/(-810) + -4 + 2. Let i = h + 484. Solve 0*p + 0 - i*p**2 = 0 for p.
0
Let g(y) be the second derivative of -y**6/6 + 69*y**5/2 - 28145*y**4/12 + 49910*y**3 - 470890*y**2 + 14*y - 119. Solve g(q) = 0.
7, 62
Let l(n) be the second derivative of 2*n**7/3 + 38*n**6/15 + 12*n**5/5 - 1246*n. What is d in l(d) = 0?
-12/7, -1, 0
Suppose -85*f = 70*f + 19*f + 44*f. Factor 4*t**3 + f - 16/3*t + 4/3*t**4 + 0*t**2.
4*t*(t - 1)*(t + 2)**2/3
Suppose 1/4*b**5 - 63/4*b + 59/2*b**3 + 48*b**2 + 11/2*b**4 - 135/2 = 0. Calculate b.
-15, -3, -2, 1
Let o(a) = -4*a**2 - 470*a - 14131. Let d(j) = j + 5. Let y(g) = -6*d(g) + o(g). Factor y(v).
-(2*v + 119)**2
Determine q, given that -16/7 + 916/7*q**2 - 836/7*q**5 - 900/7*q**4 + 788/7*q**3 + 48/7*q = 0.
-1, -2/11, 2/19, 1
Suppose 11*a + 25 = 465. Factor -a*m**2 + 44*m**3 + 83*m - 173*m + 86*m.
4*m*(m - 1)*(11*m + 1)
Factor 1/5*t**3 - 34*t + 0 + 169/5*t**2.
t*(t - 1)*(t + 170)/5
Let j(t) be the second derivative of t**8/4704 - t**7/8820 - t**6/126 + t**5/105 + 47*t**4/12 + 37*t + 2. Let b(z) be the third derivative of j(z). Factor b(i).
2*(i - 2)*(i + 2)*(5*i - 1)/7
Let w(u) be the second derivative of u**7/147 - u**6/105 - 3*u**5/35 + 2200*u. Determine v so that w(v) = 0.
-2, 0, 3
Let o = 48198113/6465602 + 1/587782. Let 2/11*i + 158/11*i**3 - 78/11*i**4 + 0 - o*i**2 = 0. What is i?
0, 1/39, 1
What is f in 52 - 102*f**2 + 30 - 4*f**3 - 26*f**2 + 12*f**2 + 4*f + 34 = 0?
-29, -1, 1
Let b(y) be the first derivative of -3*y**5/5 - 3*y**4/2 + 29*y**3 - 63*y**2 - 4716. Find p such that b(p) = 0.
-7, 0, 2, 3
Let a = -715366 + 715370. Factor 17/6*n + 17/6*n**2 + 1/6*n**a + 7/6*n**3 + 1.
(n + 1)**2*(n + 2)*(n + 3)/6
Factor -3520/13*m - 164/13*m**2 - 6400/13 - 2/13*m**3.
-2*(m + 2)*(m + 40)**2/13
Suppose -u - 4*l + 52 - 34 = 0, -2 = 3*u - 2*l. Suppose -u*w**3 - w + 1/2*w**4 + 0 + 5/2*w**2 = 0. What is w?
0, 1, 2
Let t(f) be the third derivative of f**5/510 + 5*f**4/51 + 33*f**3/17 - 1019*f**2. Determine c so that t(c) = 0.
-11, -9
Suppose 2*m + 50 = 4*m + n, n = m - 19. Factor 6*a**2 + 18*a**2 - m*a**2.
a**2
Let c be 378/180 + (-2)/20. Let 722 + 57*u**2 + 23*u + 59*u - 6*u - 55*u**c = 0. Calculate u.
-19
Let j(a) = a**3 + 60*a**2 + 52*a - 411. Let s be j(-59). Let x(t) be the first derivative of -3/4*t**4 + 18 + 0*t**s + 0*t + 2*t**3. Factor x(q).
-3*q**2*(q - 2)
Let y = -2/55243 - -220982/276215. Let 0 - 44/5*f**3 + 6*f**4 - y*f - 6*f**2 = 0. What is f?
-1/3, -1/5, 0, 2
Let a be (3/2 + 2)/(7050/(-200) + 37). Find x, given that -8/5 - 2/5*x**a - 17/5*x = 0.
-8, -1/2
Factor -291883896*u**4 - 127802880*u**3 - 892527415*u + 274050936*u**4 - 588033772 - 457960320*u**2 + 72015175*u - 995328*u**5.
-4*(12*u + 43)**5
Let v(n) be the first derivative of 18*n**2 - 4/3*n**3 - 20 - 32*n. Suppose v(q) = 0. Calculate q.
1, 8
Let h(g) be the first derivative of 0*g**2 + 1/15*g**6 - 7 - 6*g - 2/3*g**3 - 1/2*g**4 + 0*g**5. Let n(y) be the first derivative of h(y). Factor n(v).
2*v*(v - 2)*(v + 1)**2
Suppose 0 = -8*k - 3*o + 15, 101*o - 99*o = -2*k - 10. Solve 3/4*z**2 - 21/4*z - k = 0.
-1, 8
Suppose -724*s - 75 = -727*s. Factor -104*p**2 + 33*p**4 - 128 + 192*p - 10*p**4 + 24*p**3 - s*p**4.
-2*(p - 4)**2*(p - 2)**2
Let s(o) be the first derivative of -o**6/120 + 3*o**5/20 - o**4/3 - 9*o**2/2 - o + 35. Let t(i) be the second derivative of s(i). Factor t(n).
-n*(n - 8)*(n - 1)
Let o(u) be the first derivative of 5*u**4/24 + 2695*u**3/6 + 272700*u**2 + 1632160*u/3 - 2001. Factor o(p).
5*(p + 1)*(p + 808)**2/6
Let w be ((-77)/14 + 2)/(2/(-20)). Suppose w - 15 = 5*i. Factor 12*h + 2*h**3 + 0*h**3 + 7*h**2 - 7*h**3 - 4 - i*h.
-(h - 2)*(h + 1)*(5*h - 2)
Let d be 188/10 + -1 - (-91)/455. Suppose 3*r = 2*k + 5 - d, 6 = -3*k - 4*r. Factor 2/3*b**k + 10/3*b + 8/3.
2*(b + 1)*(b + 4)/3
Let y(v) = -v**3 - 31*v**2 - 30*v + 2. Suppose -5*t - 110 = 4*o, t = 3*o + 5 + 87. Let m be y(o). Factor 0*d - 15/4*d**4 + 15/4*d**3 + 5/4*d**5 - 5/4*d**m + 0.
5*d**2*(d - 1)**3/4
Suppose 14*d - 27 = 23*d. Let w be (63/(-392) - d/(-24))*-2. Factor w*b + 6/7*b**2 + 0*b**3 + 0 - 2/7*b**4.
-2*b*(b - 2)*(b + 1)**2/7
Solve -3/7*h**5 - 84*h**3 + 576/7*h**2 + 156/7*h**4 + 0*h + 0 = 0 for h.
0, 2, 48
Let w(v) be the second derivative of -2*v**7/15 - 22*v**6/25 + 143*v**5/25 + 11*v**4 - 704*v**3/15 + 168*v**2/5 - v - 966. Determine k so that w(k) = 0.
-7, -2, 2/7, 1, 3
Solve 0 + 94/9*f**4 - 344/9*f + 2/9*f**5 + 38*f**3 - 94/9*f**2 = 0 for f.
-43, -4, -1, 0, 1
Let w(v) be the second derivative of v**3 - 3/20*v**5 - 9/8*v**4 - 5*v + 0*v**2 - 1/120*v**6 + 0. Let n(y) be the second derivative of w(y). Factor n(q).
-3*(q + 3)**2
Factor 504*z**2 - 4041/4*z + 3/4*z**3 + 1011/2.
3*(z - 1)**2*(z + 674)/4
Suppose -1373*z = -87*z - 25720. Let -5/3*c**3 + 0*c**2 - z + 65/3*c = 0. What is c?
-4, 1, 3
Suppose 2*n + 2 = -3*y + 2*y, 2*y - 3*n + 25 = 0. Let z = y + 20. Let -3*s - 12*s + 0 + 3*s**2 + z = 0. What is s?
1, 4
Let h = -2341/88 + 294/11. Let a(i) be the third derivative of -1/120*i**6 + 0 + 0*i + 0*i**3 + 1/30*i**5 + 3*i**2 + h*i**4. Factor a(o).
-o*(o - 3)*(o + 1)
Suppose 4*c = 2*h, c + 0*c = 4*h. Let r be ((c + -1)/(-3))/((-1128)/(-846)). Factor -1/4*x**3 + r*x - 1/4 + 1/4*x**2.
-(x - 1)**2*(x + 1)/4
Suppose k = t - k - 8, -k = -2*t + 31. Factor -9*u**2 - 5*u**2 + 94*u + 42*u + 1156 + t*u**2.
4*(u + 17)**2
Factor 673*y