)*(p + 2)/5
What is u in 52/25*u**2 - 6/25*u**3 + 104/25 + 66/5*u = 0?
-4, -1/3, 13
Let y(q) = -8*q**4 + 116*q**3 + 395*q**2 - 90*q - 231. Let w(f) = -3*f**4 + 46*f**3 + 158*f**2 - 36*f - 95. Let j(k) = -13*w(k) + 5*y(k). Solve j(z) = 0.
-10, -8, -1, 1
Suppose x = -0 + 2. Let q(f) = -2*f**x + 12*f - 7*f - 20*f - 47. Let u(b) = -b**2 - 5*b - 16. Let z(c) = -6*q(c) + 17*u(c). What is i in z(i) = 0?
-1, 2
Let v = 3397/21 + -1130/7. Let x = 592/3 - 197. Factor 0 + 1/2*b**4 + v*b - 7/6*b**2 + x*b**3.
b*(b - 1)*(b + 2)*(3*b - 1)/6
Let o be -1 + ((-11)/(-4) - (-1)/4). Let f be o*15/(-6) + 201/39. Factor -2/13*n**3 - 2/13 + f*n + 2/13*n**2.
-2*(n - 1)**2*(n + 1)/13
Let b(p) be the first derivative of -23/14*p**4 - 85/7*p**2 + 50/7*p - 69 + 4/35*p**5 + 54/7*p**3. Let b(t) = 0. Calculate t.
1/2, 1, 5
Let r be 934/(-6) + -9 + -5 + 9. Let i = r + 164. Factor 8/3*m**4 + 2/3*m**2 + 0*m - i*m**3 + 0.
2*m**2*(m - 1)*(4*m - 1)/3
Let z(n) be the third derivative of -n**5/240 + 11*n**4/24 + 245*n**3/24 + 2*n**2 + 1126. Factor z(k).
-(k - 49)*(k + 5)/4
Let z(x) = -x**2 - 22*x + 408. Let u be z(-33). Suppose 0 = 3*i + 3, 2*i - 59 + u = -4*h. Solve 3/5*a**h - 1/5*a**2 - a + a**3 - 2/5 = 0.
-1, -2/3, 1
Let k(w) = -66*w**4 - 51*w**3 + 285*w**2 + 27*w - 27. Let g(m) = -5*m**4 - 4*m**3 + 22*m**2 + 2*m - 2. Let x(p) = -27*g(p) + 2*k(p). Factor x(c).
3*c**2*(c - 2)*(c + 4)
Let a(x) = 317*x + 46 + 354*x - 645*x + 2*x**2. Let n be a(-11). Factor 0*b + 0 + 0*b**n + 2/9*b**3.
2*b**3/9
Let l = -594 + 598. Let h = 256 - 254. Solve -l + 1/3*v**h - 11/3*v = 0 for v.
-1, 12
Determine y so that 198*y**3 + 189*y**3 + 90*y**2 - 396 + 311*y - 585*y**3 + 195*y**3 - 2*y = 0.
-4, 1, 33
Let i = -231 + 231. Suppose -12*w - 67*w = i. Factor 5/4*m**3 + 1/4*m**4 + 0*m + w + m**2.
m**2*(m + 1)*(m + 4)/4
Factor 12/7*s**3 - 150/7 + 177/7*s**2 + 555/7*s.
3*(s + 5)*(s + 10)*(4*s - 1)/7
Let u = 3/964874 - -4824361/2894622. What is z in 0 + u*z**2 + 10*z**4 + 15/2*z**3 + 0*z + 10/3*z**5 = 0?
-2, -1/2, 0
Let k(u) = 790*u**2 + 6325*u + 43. Let s be k(-8). Factor 0 + 7/4*m**2 - 1/2*m**s - m - 1/4*m**4.
-m*(m - 1)**2*(m + 4)/4
Let h be 324/(-28) + 14 + -2. Let k(u) be the first derivative of 17 + 2/7*u**3 - h*u + 3/14*u**2. Suppose k(q) = 0. Calculate q.
-1, 1/2
Let n = -26/1393 - -19840/18109. Factor -2/13*f**2 - 24/13 + n*f.
-2*(f - 4)*(f - 3)/13
Let h = 2027135/17 - 119243. Factor -h*j**2 - 30/17 + 26/17*j.
-2*(j - 5)*(2*j - 3)/17
Let g(v) be the second derivative of 0*v**2 - 3 + 0*v**3 - 1/20*v**5 + 0*v**4 + v + 1/30*v**6. Factor g(b).
b**3*(b - 1)
Find f, given that 9818*f + 990292 - 64*f**2 - 498*f + 69*f**2 + 3352828 = 0.
-932
Let r = 1998 + -1689. Let g = -307 + r. Factor 14*a - 11/3*a**g + 8/3.
-(a - 4)*(11*a + 2)/3
Let u = 83445207116/3255 - 25636007. Let r = u - -3/1085. Factor 7/3 - 29/3*c + r*c**2.
(c - 7)*(4*c - 1)/3
Let n(s) = -5*s**2 + 2*s - 3. Let t(z) = -6*z**2 + z - 3. Let c(w) = -5*n(w) + 4*t(w). Let l be c(6). Factor -5*h - 5*h**3 + 7*h + 3*h**l.
-2*h*(h - 1)*(h + 1)
Let x be (4/5)/((-85)/13787). Let u = x + 130. Factor -14/25*f**2 + 0 + 16/25*f**3 - u*f**4 + 4/25*f.
-2*f*(f - 1)**2*(3*f - 2)/25
Suppose -3*s + 51 = -3*b, -s + 34 = s + 2*b. Let r = 21 - s. Solve 11*t**3 - 5*t**3 + 2*t**3 + 4 - 8*t - r*t**4 = 0 for t.
-1, 1
Suppose -166*t + 486*t + 55 = 162*t + 169*t. What is a in 0*a**2 + 1/2*a**t + 1/2*a - a**3 + 0*a**4 + 0 = 0?
-1, 0, 1
Suppose 3*a - 17 = 7. Let 3*v**3 - 35533*v + 0*v**3 - 6*v**2 + 35512*v - 1 - a - 3 = 0. What is v?
-1, 4
Let q = -3452569/10 - -345257. Factor -q*h**2 - 90 - 6*h.
-(h + 30)**2/10
Suppose 4*k = -2*w - 82, -3*k - 13 - 49 = 2*w. Let a be (10/k)/(1/(-4)). Solve 39*p**3 - 4*p**a - 27*p**3 - 3*p**5 + 7*p**5 - 12*p**4 = 0.
0, 1
Let f(q) be the second derivative of 0*q**2 + 0 - 16/45*q**6 - 1/3*q**5 + 0*q**3 + 47*q - 2/63*q**7 + 50/9*q**4. Solve f(m) = 0 for m.
-5, 0, 2
Let u(z) be the third derivative of -z**8/84 - 4*z**7/21 + 5*z**6/3 - 16*z**5/3 + 55*z**4/6 - 28*z**3/3 + z**2 - 859. Factor u(y).
-4*(y - 1)**4*(y + 14)
Suppose 55*j = j + 69*j. Find q such that -5/3*q**5 - 10*q**4 + j - 10*q**2 - 55/3*q**3 + 0*q = 0.
-3, -2, -1, 0
Let m = 219960/7 - 31422. Factor -6*w**2 - 66/7*w - m*w**3 - 30/7.
-6*(w + 1)**2*(w + 5)/7
Let h be 90/3*16/(-64)*2/(-20). Factor 3/8*u**4 + 0 - h*u**2 + 0*u + 3/8*u**3.
3*u**2*(u - 1)*(u + 2)/8
Let r(p) be the third derivative of p**5/690 + 3*p**4/92 - 70*p**3/69 + 122*p**2 - 1. Factor r(a).
2*(a - 5)*(a + 14)/23
Let a(i) be the first derivative of 2*i**3/21 + 688*i**2/7 + 236672*i/7 - 365. Factor a(j).
2*(j + 344)**2/7
Let u = -3004559/390 - -7704. Let s(q) be the third derivative of 0 + 0*q + u*q**5 + 1/390*q**6 - 1/455*q**7 - 13*q**2 + 0*q**3 + 0*q**4. Factor s(y).
-2*y**2*(y - 1)*(3*y + 1)/13
Let v = 3/8542 - -170807/93962. Determine r, given that -v + 18/11*r + 2/11*r**2 = 0.
-10, 1
Let l(n) be the first derivative of 53 + 5/4*n**4 - 25/2*n**2 + 10*n + 5*n**3 - n**5. Solve l(x) = 0.
-2, 1
Let a(o) be the first derivative of -6*o**6 - 376*o**5/5 - 40*o**4 - 325. Find g, given that a(g) = 0.
-10, -4/9, 0
Let y be (-78)/(-4)*2100/675 + -9. What is q in 25/3*q**3 - 136/3*q + 28/3 + y*q**2 = 0?
-7, 2/5
Suppose -3*k = -5*z + 124, 2*k = 4*z - 8*z + 108. Let g be (-4)/(-143) - ((-28)/z)/7. Factor 8/11*f**2 - g*f**3 + 12/11 + 2*f.
-2*(f - 6)*(f + 1)**2/11
Let p = 1868 - 1869. Let b be (-60 - -59)*3*p. Factor 2/3*j + 2/3*j**5 - 4/3*j**2 + 2/3 - 4/3*j**b + 2/3*j**4.
2*(j - 1)**2*(j + 1)**3/3
Let h(p) be the third derivative of -p**6/720 - p**5/24 + p**4/2 - 25*p**3/6 + 3*p**2. Let x(q) be the first derivative of h(q). Factor x(g).
-(g - 2)*(g + 12)/2
Let -32/3 - 2/3*i**3 - 40/3*i - 16/3*i**2 = 0. Calculate i.
-4, -2
Let o(x) be the second derivative of -x**7/126 - x**6/6 + x**5/10 + 49*x**4/18 + 41*x**3/6 + 15*x**2/2 + 187*x - 6. Factor o(y).
-(y - 3)*(y + 1)**3*(y + 15)/3
Factor -3/5*s**5 + 54438*s**2 - 493683/5*s + 393/5*s**4 - 17418/5*s**3 + 238521/5.
-3*(s - 43)**3*(s - 1)**2/5
Let c be -5 + 207/(-23) + (1 - -16). Let y(o) be the first derivative of -2/57*o**c + 23 - 6/19*o**2 - 18/19*o. Factor y(d).
-2*(d + 3)**2/19
Let u = 800 - 438. Solve -248*s**2 - 9 - u*s**2 - 174*s**2 + 168*s = 0 for s.
3/28
Let n be -4 + (4/1 - (-77 + 57)). Let y be (-9)/6*(-152)/n. Suppose 48/5*f + 12/5 + 21/5*f**4 + 3/5*f**5 + 15*f**2 + y*f**3 = 0. What is f?
-2, -1
Let p(s) be the third derivative of -s**6/480 + 13*s**5/80 - 19*s**4/48 + 166*s**2 + 2. Factor p(l).
-l*(l - 38)*(l - 1)/4
Let z(o) = -9*o**2 - 156*o - 367. Let g(y) = -80*y**2 - 1400*y - 3305. Let n(q) = -4*g(q) + 35*z(q). Factor n(b).
5*(b + 3)*(b + 25)
Factor -1498/9*a + 2/9*a**2 + 1492/3.
2*(a - 746)*(a - 3)/9
Let x be (-1*(5 + -1))/(6/(-12)). Let o = 42 + x. Solve -44 + 1 - 24 - 5*w**2 - 58 + o*w = 0 for w.
5
Determine d, given that -80/11*d**2 - 28/11*d**4 + 224/11*d - 114/11*d**3 - 2/11*d**5 + 0 = 0.
-7, -4, 0, 1
Suppose 120*a - 400 - 327 = -127. Let w(b) be the third derivative of 1/780*b**6 - 13*b**2 + 0*b + 0 - 7/156*b**4 + 2/13*b**3 + 0*b**a. Solve w(p) = 0.
-3, 1, 2
Let l be (-804)/134*2/(-4). Let j(u) be the third derivative of 0 + 1/12*u**5 - 9*u**2 + 25/6*u**l + 5/4*u**4 + 0*u. Factor j(x).
5*(x + 1)*(x + 5)
Let r(z) be the third derivative of -z**6/720 - 3*z**5/20 - 27*z**4/4 + 20*z**3/3 + 76*z**2. Let d(b) be the first derivative of r(b). Factor d(l).
-(l + 18)**2/2
Let r(m) = -5*m**3 - 310*m**2 - 1115*m + 5880. Let y(z) = -3*z**3 - 149*z**2 - 558*z + 2940. Let h(t) = 2*r(t) - 5*y(t). Factor h(i).
5*(i - 3)*(i + 14)**2
What is o in -123*o**3 + 163 + 3*o**5 + 572 + 444*o + 345 + 89848*o**2 + 18*o**4 - 90190*o**2 = 0?
-9, -2, 2, 5
Let o(q) = 4*q - 5. Let j be o(1). Let w(b) = 2*b**2 - 10*b + 3. Let y(f) = -f**2 + 1. Let n(p) = j*w(p) + 3*y(p). Suppose n(t) = 0. Calculate t.
0, 2
Let o = -210 + 218. Factor 31*x - x**4 + 7 + 6*x**3 - o*x**2 + 2 - 65*x + 28*x.
-(x - 3)**2*(x - 1)*(x + 1)
Suppose -13*f = -36*f - 34*f + 285. Let y(b) be the third derivative of -4/21*b**3 + 1/420*b**6 + 2/21*b**4 + 0 - 1/42*b**f - 17*b**2 + 0*b. Factor y(x).
2*(x - 2)**2*(x - 1)/7
Suppose 3*j - 7 = -4*p, 4*j + 8 = -2*p + p. Factor 66*z + 0*z**4 + 3*z**p + 20364*z**3 - 20382*z**3 + 45.
3*(z - 5)*(z - 3)*(z + 1)**2
Let d(l) = -46095*l + 108 + 49 + 46073*l. Let v be d(7). Suppose -4/5*k + 8/5*k**2