5))/(m/(-20)). Factor -7*f**2 + 0*f**2 - 40*f + 3*f**p - 100.
-4*(f + 5)**2
Let w(r) = -4*r**3 + 56*r**2 - 196*r - 13. Let a(b) = 2*b**3 - 28*b**2 + 98*b + 6. Let s be ((-7)/14)/(1/12). Let i(o) = s*w(o) - 13*a(o). Factor i(n).
-2*n*(n - 7)**2
Suppose 8*g - 1193 + 1209 = 0. Let v(t) = 3*t**2 - 4*t + 2. Let h(l) = 5*l**2 + 16*l - 1 - 18*l**2 - 6. Let n(c) = g*h(c) - 9*v(c). Factor n(y).
-(y - 2)**2
Let n(g) = -1931*g + 241377. Let z be n(125). Factor -40/7*q - 2 - 26/7*q**z.
-2*(q + 1)*(13*q + 7)/7
Let s(g) = -5*g**4 + 93*g**3 - 215*g**2 + 105*g - 55. Let y(o) = -o**4 + 19*o**3 - 43*o**2 + 21*o - 10. Let p(f) = 2*s(f) - 11*y(f). Factor p(d).
d*(d - 21)*(d - 1)**2
Let i(x) = 75*x**2 + 210*x - 43. Let b be i(-3). Factor 6 + 16/5*t**b + 86/5*t.
2*(t + 5)*(8*t + 3)/5
Suppose 7*d - 2018 + 359 = 0. Suppose 3 + d = 12*w. Let -6*z**3 - 3*z**4 - 42 + 22 + w + 9*z**2 = 0. What is z?
-3, 0, 1
Let d(f) be the third derivative of f**7/1260 - 7*f**6/90 + 9*f**5/20 - 7*f**4/24 - 72*f**2. Let n(o) be the second derivative of d(o). What is i in n(i) = 0?
1, 27
Suppose 18*g + 378 = 19*g. Factor 194*q + 196*q + 2*q**3 - g*q + 14*q**2 + 0*q**3.
2*q*(q + 1)*(q + 6)
Let u = 393476/459137 + 10/65591. Factor -9/7*k - 3/7*k**2 - u.
-3*(k + 1)*(k + 2)/7
Let v(f) be the first derivative of -f**5/20 - 3*f**4/4 - 4*f**3 + 40*f**2 - 50. Let b(r) be the second derivative of v(r). Let b(k) = 0. What is k?
-4, -2
Suppose -36 = -4*v - 5*l, -5*l + 17 = v + 8. Suppose -46 + 19 = -v*m. Factor 0 + 2/3*r**m - 4/3*r**2 - 2*r.
2*r*(r - 3)*(r + 1)/3
Solve 433*t + 391*t - 2564*t**2 - 18 - 111*t - 3486*t**2 - 53*t = 0 for t.
3/55
Let m be -3*(1054/(-10) + 10/25). Let f = 631/2 - m. What is g in f*g + 0 + 7/4*g**3 + 9/4*g**2 = 0?
-1, -2/7, 0
Let l = 856630/3 - 285542. Solve 0 + 1/3*c**4 + 5/3*c**2 - l*c**3 - 2/3*c = 0.
0, 1, 2
Let i be (-235)/47 - (-1 - 344). Solve 40 + 203*s**3 + 239*s**3 + i*s**2 + 204*s + 16*s**4 - 250*s**3 = 0.
-10, -1, -1/2
Let i(x) = 97*x + 4. Let f(k) = -2*k**2 + 36*k - 27. Let q be f(17). Let c be i(q). Solve 683 - c - j**3 - 2*j**2 = 0.
-2, 0
Let d(f) = 480*f - 4240. Let o be d(9). Factor 80/3*a**2 + o + 5/3*a**3 + 260/3*a.
5*(a + 2)**2*(a + 12)/3
Suppose 0 = -5*p - 3*y - 3622 + 10954, p - 3*y = 1470. Suppose -8*o + p = o. Solve 30 + 3*b - o*b**2 - 8*b + 158*b**2 = 0.
-3, 2
Let t = 2401/517726 - 3/466. Let z = t - -12229/4444. Suppose -3/4*d**3 + z*d + 1/4*d**4 - 3/4*d**2 - 3/2 = 0. What is d?
-2, 1, 3
Let s(q) = q**3 + 24*q**2 + 36*q + 16. Let a be s(0). Find b, given that -28*b**2 + 0 + a*b**3 - 4/3*b**4 + 40/3*b = 0.
0, 1, 10
Let k(y) be the second derivative of 32*y**6/15 + 248*y**5/5 + 115*y**4 + 254*y**3/3 + 28*y**2 - 5812*y. Suppose k(r) = 0. What is r?
-14, -1, -1/4
Let m = -352 + 334. Let s be (18/m)/(21/(-99)). Determine z so that 60/7*z**2 + 0 - s*z**3 + 12/7*z = 0.
-2/11, 0, 2
Let q(l) be the first derivative of l**4/4 - 7*l**3/3 + l**2/2 - 4*l - 147. Let d be q(7). What is p in 0 + 3/8*p + 3/4*p**d - 9/8*p**2 = 0?
0, 1/2, 1
Let x = -211 - -213. Let n be x/(-7)*-7 + 0. Find o such that -2/5*o**3 + 2/5*o + 0 - 2/5*o**n + 2/5*o**4 = 0.
-1, 0, 1
Suppose -24 = 2*d + 2*l, 4*l = 5*l + 3. Let w be d*28/(-126)*1/9. Let -4/9*f**2 + w*f**3 - 8/9*f + 16/9 = 0. Calculate f.
-2, 2
Let f = 2065 - 3929/2. Let y = f + -99. Factor 3/2*l**5 - 3/2*l**2 + 0 - y*l**3 + 0*l + 3/2*l**4.
3*l**2*(l - 1)*(l + 1)**2/2
Let w(m) be the second derivative of -m**8/420 - 2*m**7/105 + 7*m**6/90 + m**5/3 + 34*m**3/3 + 20*m. Let u(t) be the second derivative of w(t). Factor u(a).
-4*a*(a - 2)*(a + 1)*(a + 5)
Let j be (7/3 + -1)/((420/750)/1). Let b be 5*(0 + (-6)/(-15)). Factor -j*c**b - 40/21*c - 8/21.
-2*(5*c + 2)**2/21
Let o(u) be the first derivative of -4*u**2 - 341*u + 34. Let b be o(-43). Suppose 4/9*p**b + 4/3*p**4 + 0 - 4/3*p**2 - 8/9*p + 4/9*p**5 = 0. Calculate p.
-2, -1, 0, 1
Let w(a) = -49*a**2 + 4563*a - 824. Let u(q) = -q**2 + 2*q - 1. Let f(h) = 6*u(h) + w(h). Let f(t) = 0. Calculate t.
2/11, 83
Let f(t) be the first derivative of 2/21*t**3 + 19 + 20/7*t - 11/7*t**2. Find o, given that f(o) = 0.
1, 10
Let h(a) be the second derivative of a**4/9 - 1658*a**3/9 + 552*a**2 + 2*a + 134. Factor h(n).
4*(n - 828)*(n - 1)/3
Factor 66 + 103/6*t + 1/6*t**2.
(t + 4)*(t + 99)/6
Let v = 288/461 - -35325/3227. Factor -18/7*d + v + 1/7*d**2.
(d - 9)**2/7
Factor 1/6*n**5 - 81673/6*n**2 + 40508/3*n + 27883/6*n**3 - 13448/3 - 331/6*n**4.
(n - 164)**2*(n - 1)**3/6
Let n(r) be the first derivative of -96/7*r - 18/35*r**5 + 3/28*r**4 - 1/14*r**6 - 63 + 0*r**2 + 38/7*r**3. Solve n(c) = 0.
-4, -1, 1, 2
Let u(l) be the first derivative of -l**2 - 8/5*l - 9 + 1/20*l**4 - 1/15*l**3. Factor u(y).
(y - 4)*(y + 1)*(y + 2)/5
Let c = -187/1704 + 50/213. Let p be (-8)/28 + 69/168. Find t such that 0*t - c*t**3 + 0 + p*t**4 - 1/4*t**2 = 0.
-1, 0, 2
Suppose 5*h - 2*w = 393 - 364, -11 = -3*h - 2*w. Determine p, given that 0 - 3*p**3 + 9/2*p + 4/3*p**4 - 1/6*p**h + 0*p**2 = 0.
-1, 0, 3
Let b(m) = -m**3 - 11*m**2 - 412*m - 4017. Let p be b(-10). Find n, given that 0 + 4*n**3 + 1/3*n**4 + p*n**2 - 22/3*n = 0.
-11, -2, 0, 1
Suppose 4*j - 5*i + 0*i = 35, 0 = 4*j + 3*i - 11. Suppose 7 = k + j. Factor -6*u - 2*u**2 + 0*u + k*u + 6*u.
-2*u*(u - 1)
Let m(u) be the third derivative of -u**5/12 - 355*u**4/12 - 680*u**3 + 4*u**2 + u + 34. Factor m(z).
-5*(z + 6)*(z + 136)
Let q(c) be the second derivative of c**6/480 + 11*c**5/160 + 11*c**3/3 - c**2/2 + 53*c. Let o(s) be the second derivative of q(s). Factor o(y).
3*y*(y + 11)/4
Let m(p) be the second derivative of p**5/80 + 211*p**4/48 + 1204*p**3/3 - 20384*p**2 - 614*p + 2. Factor m(q).
(q - 13)*(q + 112)**2/4
Suppose -141 + 21 = 20*l. Let s(b) = -4*b**2 + 14*b + 24. Let m(p) = -p**2 + 5*p + 8. Let o(i) = l*s(i) + 20*m(i). Solve o(k) = 0.
-2
Let f = -5837 + 5841. Let m(i) be the first derivative of 0*i**2 - 8/13*i**f + 32/13*i - 16/13*i**3 + 12 - 6/65*i**5. Solve m(g) = 0 for g.
-2, 2/3
Let u(m) = m**3 + 23*m**2 + 39*m - 43. Let k be u(-21). Suppose 14*z - k*z = -84. Find l such that -32/3*l**2 + 8/3*l + z*l**3 - 6*l**4 + 0 = 0.
0, 2/3, 1
Suppose -4*o = -3*l - 175 + 117, 5*l - 20*o + 310 = 0. Factor -32 - 49*g - 35/2*g**l - 1/2*g**3.
-(g + 1)*(g + 2)*(g + 32)/2
Let f be (-6)/(-12)*(3/10)/(32 + 58). Let n(h) be the third derivative of 0*h**5 - 26*h**2 + 1/120*h**4 - f*h**6 + 0*h**3 + 0 + 0*h. Factor n(d).
-d*(d - 1)*(d + 1)/5
Let u(p) be the third derivative of -p**6/60 + 43*p**5/45 - 14*p**4/9 + 37*p**2 - 8*p. Let u(i) = 0. What is i?
0, 2/3, 28
Let h(a) be the third derivative of a**5/360 + 329*a**4/24 + 108241*a**3/4 - 7291*a**2. Solve h(q) = 0.
-987
Let b = 0 + 2. Factor 4*s**b - 96 + 20 - 32 + 21*s + 3*s.
4*(s - 3)*(s + 9)
Let g(b) = 5*b**2 - 41*b + 2. Let m be g(9). Suppose -4*z + 6 = -2. Factor 20 + m*l**z - 27*l + 3*l**3 - 29*l**2 - 5.
3*(l - 1)**2*(l + 5)
Let m(l) be the second derivative of -l**6/6 + 2*l**5 + 35*l**4/4 - 20*l**3/3 - 50*l**2 + l + 199. Let m(s) = 0. Calculate s.
-2, -1, 1, 10
Factor 68/7*u**3 + 372/7*u**2 + 100*u + 4/7*u**4 + 56.
4*(u + 1)*(u + 2)*(u + 7)**2/7
Let -10*z**5 + 435*z**3 - 11*z**4 - 216 - 2*z**5 + 502439*z**2 - 963*z - 28*z**4 - 502724*z**2 = 0. Calculate z.
-8, -1, -1/4, 3
Let l(b) be the third derivative of -b**7/525 - 23*b**6/100 - 129*b**5/50 - 571*b**4/60 - 84*b**3/5 - 4*b**2 - 211*b. Let l(u) = 0. Calculate u.
-63, -4, -1
Let d(x) be the second derivative of 0 - 11/8*x**3 - 21/4*x**2 - 1/8*x**4 + 97*x. Factor d(f).
-3*(f + 2)*(2*f + 7)/4
Let q(x) = -6*x**2 + 9084*x - 3438308. Let u(b) = 3*b**2 - 4542*b + 1719155. Let o(r) = 4*q(r) + 7*u(r). Solve o(j) = 0.
757
Suppose 1371*n - 126 = 1329*n. Let k(p) be the first derivative of 5*p**2 + 21 - 35/3*p**n + 0*p. Solve k(g) = 0 for g.
0, 2/7
Factor 179 + 10*w + 3*w**2 + w**2 - 2*w**2 - 171.
2*(w + 1)*(w + 4)
Let x = -545 - -566. Let m be 1 + x/(-15) - (-544)/510. Factor m - 20/9*j**2 + 26/9*j.
-2*(2*j - 3)*(5*j + 1)/9
Suppose 0 - 1/2*n**4 + 7/4*n**2 - 3/8*n - 7/8*n**3 = 0. What is n?
-3, 0, 1/4, 1
Let l(t) be the second derivative of t**7/56 - 9*t**5/80 + t**4/8 - 658*t. Factor l(q).
3*q**2*(q - 1)**2*(q + 2)/4
Factor 376 - 1157 + 79*h - 10*h + 136 - 759 + 3*h**2.
3*(h - 13)*(h + 36)
Let x = 72 + -72. Let i(w) be the first derivative of -4/3*w**3 + 0*w**4 + w**2 + x*w - 2 -