5 + 1/2*v - 1/2*v**f = 0.
-1, 1
Let z be (4203/12)/(-2*6/48). Let a = z - -1405. Suppose -69/4*k**a + 0 + 21/4*k**5 + 69/4*k**2 - 3/4*k**3 - 9/2*k = 0. Calculate k.
-1, 0, 2/7, 1, 3
Suppose 3*g = -4 - 11. Let l(j) = j**3 + 6*j**2 + 7*j + 12. Let i be l(g). Let -8 + 6*b**2 - 8*b - i*b**2 + 8 = 0. Calculate b.
0, 2
Suppose -3*b - b = -208. Let c(m) = -78*m + 1562. Let g be c(20). Find d, given that 54*d**4 + 4*d + 10*d**g + 3*d**3 + 5*d**3 - b*d**4 = 0.
-2, -1, 0
Let y = 34/3 - 26/3. Let h be (-82)/(-26) - 62/403 - 15/27*3. Factor y + 4/3*k - h*k**2.
-4*(k - 2)*(k + 1)/3
Suppose 669*a = 749*a - 240. Let v(b) be the second derivative of -8/11*b**2 + 1/33*b**4 + 0 + 1/110*b**5 - 4/33*b**a - 25*b. Solve v(r) = 0.
-2, 2
Factor 102*p**3 - 52*p**3 - 3136 - 47*p**3 + 3060*p + 198*p**2 - 3800.
3*(p - 2)*(p + 34)**2
Suppose 5*l - 2*w = 3*l - 6, 4*l + 14 = 3*w. Let n be (-3)/l + (-434)/(-35). Find j such that -5*j**4 - 3*j**3 - n*j**4 + 21*j**4 = 0.
0, 1
Let y = -436631/6 - -72788. Factor y*z**2 + 32/3 + 1/6*z**4 + 24*z + 3*z**3.
(z + 1)**2*(z + 8)**2/6
Let o = 215656/17 + -9057193/714. Let h = o - 1/357. What is y in 0*y**2 + 0*y - 1/2*y**3 + 0 + h*y**4 = 0?
0, 1
Let s(o) be the first derivative of o**7/840 - 29*o**6/360 + 9*o**5/20 - 8*o**3/3 - 11*o**2/2 - 196. Let h(t) be the third derivative of s(t). Factor h(x).
x*(x - 27)*(x - 2)
Let b(j) be the first derivative of -j**4/18 + 8*j**3 - 1100*j**2/3 + 40000*j/9 + 289. Solve b(n) = 0 for n.
8, 50
Factor 3*t**2 - 348 + 81 + 1798*t - 1534*t.
3*(t - 1)*(t + 89)
Let c(q) be the second derivative of q**8/1344 + q**7/168 + q**6/72 + q**4/6 - 5*q**3 + q - 14. Let t(u) be the third derivative of c(u). Factor t(y).
5*y*(y + 1)*(y + 2)
Let s(q) be the second derivative of q - 5*q**2 - 4 - 15/4*q**4 - 5/4*q**5 - 35/6*q**3 - 1/6*q**6. Factor s(l).
-5*(l + 1)**3*(l + 2)
Factor -140/11 - 34/11*h**2 + 1/11*h**3 + 173/11*h.
(h - 28)*(h - 5)*(h - 1)/11
Let p(l) be the first derivative of l**6/15 - 8*l**5/25 - 3*l**4/5 + 64*l**3/15 - 7*l**2 + 24*l/5 + 1139. Factor p(h).
2*(h - 4)*(h - 1)**3*(h + 3)/5
Let f(y) be the third derivative of 0 - 1/196*y**8 - 26*y**2 + 2/21*y**3 - 2/105*y**7 + 0*y + 5/42*y**4 - 1/105*y**6 + 2/35*y**5. Let f(k) = 0. What is k?
-1, -1/3, 1
Suppose -33*x - 44 = -47*x + 2*i, 15 = 4*x - 3*i. Factor 0 + 0*c + c**x - 1/5*c**4 - 6/5*c**2.
-c**2*(c - 3)*(c - 2)/5
Factor -235*u**4 - 4344*u**3 - 230*u**4 + 395307*u + 390951*u**2 - 221*u**4 - 223*u**4 + 921*u**4.
3*u*(u + 1)*(2*u - 363)**2
Let k = 488 - 486. Let -47*x**2 - 2*x**3 - 15*x + 32*x**2 - k*x**3 + 5*x - x**3 = 0. What is x?
-2, -1, 0
Let v(p) = -112*p**2 + 2689*p - 24. Let a be v(24). Determine i so that 0*i + 2/7*i**3 + 18/7*i**2 + a = 0.
-9, 0
Let x(m) be the second derivative of -m**7/168 + m**6/8 - 45*m**4/2 + 29*m**3/6 + 72*m - 2. Let k(r) be the second derivative of x(r). Factor k(b).
-5*(b - 6)**2*(b + 3)
Let w be 0/(-13 - (-13 - -1)). Let o(h) be the second derivative of -1/16*h**4 + 1/40*h**5 + w - 1/3*h**3 - 31*h + 1/120*h**6 - 1/2*h**2. Solve o(f) = 0 for f.
-2, -1, 2
Suppose k + 3*l - 2*l - 4 = 0, -4*k - l + 13 = 0. What is o in 18 + 27 + 15*o**2 + 10*o**k - 4*o**2 - 5*o**4 + 29*o**2 - 90*o = 0?
-3, 1, 3
Let m(v) be the third derivative of 0 + 4/75*v**5 + 290*v**2 + 0*v + 1/150*v**6 - 4/3*v**3 - 7/30*v**4. Let m(u) = 0. What is u?
-5, -1, 2
Let z(w) be the second derivative of -3/14*w**3 + 3/20*w**5 + 0 - 3/70*w**6 - 3/28*w**4 + 3/7*w**2 - 37*w. Let z(x) = 0. What is x?
-2/3, 1
Let a(n) = -495*n + 3963. Let m be a(8). Factor -1664/3*x + 2/3*x**5 - 1024/3 + 290/3*x**m - 44/3*x**4 - 304/3*x**2.
2*(x - 8)**3*(x + 1)**2/3
Let p(w) be the second derivative of 5/2*w**4 + 1/10*w**5 + 22 + 21*w**3 + 49*w**2 + 2*w. Factor p(k).
2*(k + 1)*(k + 7)**2
Let y(t) be the first derivative of -t**4/22 + 4*t**3/33 + 24*t**2/11 - 2945. Let y(d) = 0. Calculate d.
-4, 0, 6
Let f be ((-847)/132 + 12)/(-3 - 25/(-8)). Let d(s) = -5*s + 119. Let v be d(23). Solve 64/21 + 14/3*q**v + 432/7*q**2 + 520/21*q + f*q**3 = 0.
-8, -1, -2/7
Let f(b) be the first derivative of -b**5/10 - 4*b**4 - 31*b**3/6 + 2089. Factor f(o).
-o**2*(o + 1)*(o + 31)/2
Let w(n) = n**4 + 12*n**3 - n. Let s(a) = 12*a**4 + 123*a**3 + 30*a**2 - 55*a + 24. Let t(b) = s(b) - 11*w(b). Find g, given that t(g) = 0.
2, 3
What is n in -2496/7*n**2 + 64/7 - 150/7*n**4 + 1510/7*n**3 + 120/7*n = 0?
-2/15, 1/5, 2, 8
Let x(t) be the second derivative of -241*t + 5/6*t**3 + 0 - 1/4*t**5 + 5/6*t**4 - 5*t**2. Factor x(q).
-5*(q - 2)*(q - 1)*(q + 1)
Let s = 225 + -153. What is l in -38*l**3 + 79*l**2 - s*l**5 - 46*l**2 - 132*l**4 + 17*l - 5*l + 1 = 0?
-1, -1/6, 1/2
Let z be ((-248400)/(-2254))/(25/2100). Factor 4/7*w**5 - 54000/7 + z*w - 25020/7*w**2 + 3436/7*w**3 - 28*w**4.
4*(w - 15)**3*(w - 2)**2/7
Let i = -117573 + 117575. Suppose -30/11*x**i + 0 - 36/11*x - 6/11*x**3 = 0. Calculate x.
-3, -2, 0
Solve -25*t + 4037 - 1793 - 4*t**2 + t - 2024 = 0.
-11, 5
Let h = 74 + -128. Let n = 56 + h. Find o such that -16*o + 11*o**n + o**2 - 16*o**2 = 0.
-4, 0
Let k(d) be the second derivative of d**5/70 + 11*d**4/14 - 1035*d**3/7 + 41791*d**2/7 - 16389*d. Let k(h) = 0. What is h?
-79, 23
Let c(s) be the first derivative of s**3/9 - 438*s**2 + 575532*s + 3267. What is r in c(r) = 0?
1314
Suppose -15*u + 10*u + 945 = 0. Suppose 12*w**3 - u + 407 - 203 + 54*w**2 - 5*w**4 + 52*w = 0. Calculate w.
-1, -3/5, 5
Let o = 1548362/9 - 172040. Factor 0 - 4/3*f + 4/3*f**3 + 2/9*f**2 - o*f**4.
-2*f*(f - 6)*(f - 1)*(f + 1)/9
Find s, given that 579*s**2 + 585*s**2 - 1159*s**2 + 1060 + 1065*s = 0.
-212, -1
Suppose 5*w - 2*m + 5*m + 13296 = 0, 0 = -2*w - 4*m - 5310. Let l = -1545 - w. Find t, given that 4*t**2 - t**2 - 2*t**3 - t**4 + l*t - 1116*t = 0.
-3, 0, 1
Let k be ((-585)/27 - -7)*114. Let a = -1672 - k. Factor a + 1/8*q**2 - 7/8*q.
q*(q - 7)/8
Let n be (72/(-21))/(6/42). Let b be -36*((1 - 75/n) + -5). Factor -57/2*l**2 + b*l - 3.
-3*(l - 1)*(19*l - 2)/2
Let c(a) = 2*a**2 - 4*a - 5. Let r be c(4). Solve -3*p**2 + 0 - 6 + r*p - 16*p + 14*p = 0 for p.
1, 2
Let n(m) = -15*m + 13. Let i(b) = 2*b + 1. Let l(d) = -6*i(d) - n(d). Let h be l(7). Factor -864 + 564*a + 567*a**3 - 81*a**4 + 125*a**2 + 744 - 1043*a**h.
-3*(a - 5)*(3*a - 2)**3
Let h(y) be the third derivative of y**10/378000 - y**9/25200 + y**8/10080 - 2*y**5/5 - 2*y**2 - 3. Let w(c) be the third derivative of h(c). Factor w(k).
2*k**2*(k - 5)*(k - 1)/5
Suppose 0 = 138*g - 110*g. Let v(h) be the third derivative of -14*h**2 - 1/315*h**7 + 0*h + 1/90*h**5 + 0*h**4 + 0 + g*h**3 + 0*h**6. Factor v(d).
-2*d**2*(d - 1)*(d + 1)/3
Let s(d) = 4*d - 2. Let p be s(1). Suppose -u + 22 = -3*h, -p*h - 1 - 7 = 0. Factor 10*f**3 - 20*f + 15*f**2 + u - 22 - 8 - 5*f**4.
-5*(f - 2)**2*(f + 1)**2
Suppose 3*g = 5*s + 17, -2*g - 5*s - 25 = -7*g. Suppose 2*c - y = g, -y - 6 = -7*c + 4*c. Factor -2*l**4 + 0*l**3 - 10*l**c + 5*l**3 + 7*l**4.
5*l**2*(l - 1)*(l + 2)
Factor 347/5*d**3 + 80388/5*d**2 + 12326391/10 + 1/10*d**4 + 6243237/5*d.
(d + 1)*(d + 231)**3/10
Find z, given that 0*z + 6*z**2 + 2/7*z**3 + 0 = 0.
-21, 0
Let r(c) be the first derivative of -2*c**3/51 - 749*c**2/17 + 4512*c/17 + 7566. Factor r(u).
-2*(u - 3)*(u + 752)/17
Let g = 13/379 - -433/9475. Let y(s) be the first derivative of -g*s**5 + 0*s**2 + s**4 + 0*s - 18 - 10/3*s**3. Factor y(l).
-2*l**2*(l - 5)**2/5
Let n = -6107/5 - -48881/40. Suppose 0 - n*f**4 + 1/4*f - 7/8*f**2 + 1/8*f**5 + 9/8*f**3 = 0. What is f?
0, 1, 2
Let o(f) = -7*f**2 - 8*f + 3. Let l(a) be the first derivative of a**3 + 3*a**2/2 - 2*a - 126. Let n(g) = 9*l(g) + 4*o(g). Let n(c) = 0. What is c?
-3, -2
Let o(h) be the second derivative of -h**5/90 - 10*h**4/27 + 73*h**3/27 + 92*h**2/9 + 3*h + 107. Suppose o(x) = 0. What is x?
-23, -1, 4
Factor 0 + 1900/7*u + 4/7*u**2.
4*u*(u + 475)/7
Let o(j) be the first derivative of j**2 + 82 + 1/2*j**4 - 11/9*j**3 - 1/15*j**5 + 0*j. Factor o(q).
-q*(q - 3)*(q - 2)*(q - 1)/3
Let j(r) = -87*r + 5. Let k be j(-2). Suppose -176*t + k*t = 9. Determine u so that -1/5*u**t + 0 - 1/5*u**4 + 2/5*u**2 + 0*u = 0.
-2, 0, 1
Factor 2/7*c**2 + 4*c + 96/7.
2*(c + 6)*(c + 8)/7
Let -384*c - 76231 - 506*c - c**2 - 63623 - 58171 = 0. What is c?
-445
Let u(f) be the first derivative of f**5/5 + 9*f**4/4 + 14*f**3/3 - 12*f**2 + 3487. Deter