v + 40*b + 0 - 55/2*b**3 = 0.
-4, 0, 2/3
Suppose 0 = -4*k - 5*q - 19 + 14, -4*k + 2*q = -2. Let k*x**4 + 4/11*x**3 - 2/11*x - 2/11*x**5 + 0*x**2 + 0 = 0. What is x?
-1, 0, 1
Let d(x) be the second derivative of 0 + 1/30*x**4 + 6/5*x**2 - 1/3*x**3 + 4*x. What is n in d(n) = 0?
2, 3
Let b(q) be the third derivative of 0 + q**2 + 0*q + 1/6*q**3 + 1/120*q**6 - 1/60*q**5 - 1/24*q**4. Suppose b(k) = 0. What is k?
-1, 1
Let g(f) be the first derivative of f**4/8 + 4*f**3/3 + 17*f**2/4 + 5*f - 195. Factor g(w).
(w + 1)*(w + 2)*(w + 5)/2
Factor -59 + 27*i**2 + 114 - 21*i - 61.
3*(i - 1)*(9*i + 2)
Let o(v) be the third derivative of 0*v + 1/140*v**5 - 21*v**2 + 1/4*v**4 + 0 + 7/2*v**3. Factor o(h).
3*(h + 7)**2/7
Let -33/2*s**4 + 117/2*s**3 + 30*s + 3/2*s**5 + 0 - 147/2*s**2 = 0. What is s?
0, 1, 4, 5
Let i(n) = 24*n**3 + 2*n**2 - 2*n - 3. Let m be i(-1). Let f = -20 - m. Factor -z**f + 0 + 0*z + 2/5*z**2.
-z**2*(5*z - 2)/5
Let s(k) be the second derivative of -9*k**6/20 + 9*k**5/8 - k**4/8 - 7*k**3/4 + 3*k**2/2 - k + 268. Determine z so that s(z) = 0.
-2/3, 1/3, 1
Let r(o) = -2. Let d(a) = 27*a**2 - 21*a + 29. Let k(i) = -26*i**2 + 22*i - 28. Let l(x) = 4*d(x) + 5*k(x). Let s(b) = -l(b) + 10*r(b). Factor s(m).
2*(m - 1)*(11*m - 2)
Let h = 21/46 - -2761/23. Let w = -117 + h. Let 7/2*x**3 - x + w*x**2 - 6*x**4 + 0 = 0. What is x?
-2/3, 0, 1/4, 1
Let z(a) be the third derivative of -a**5/80 - 7*a**4/32 - 3*a**3/4 - 32*a**2. Factor z(c).
-3*(c + 1)*(c + 6)/4
Suppose -2*m - 3*m + 25 = y, 3 = m. Let b(v) be the first derivative of -y + 1/28*v**4 + 5/14*v**2 + 2/7*v + 4/21*v**3. Factor b(q).
(q + 1)**2*(q + 2)/7
Let g(i) be the third derivative of i**6/2160 + i**5/90 + i**4/9 + 17*i**3/6 - 3*i**2. Let b(s) be the first derivative of g(s). Solve b(m) = 0 for m.
-4
Let w(t) be the second derivative of 1/12*t**4 + 0*t**3 - 1/2*t**2 + 0 - t. Find j, given that w(j) = 0.
-1, 1
Suppose 26/5*m**2 + 2/5*m**4 + 4*m**3 + 72/5 - 24*m = 0. Calculate m.
-6, 1
Let k(z) be the third derivative of z**7/24 + z**6/8 + z**5/12 + 4*z**3 - 20*z**2. Let o(g) be the first derivative of k(g). Factor o(r).
5*r*(r + 1)*(7*r + 2)
Let g = -139 + 142. Let t(b) be the second derivative of 0*b**g + 0 + 0*b**2 + 1/84*b**4 + b. Find q, given that t(q) = 0.
0
Solve -142*i - 1 - 147*i - 2 + 293*i - i**2 = 0 for i.
1, 3
Let u(j) be the second derivative of j**4/24 + 5*j**3/4 + 7*j. Solve u(q) = 0.
-15, 0
Factor -2 - 1/4*v**3 + 5/2*v - 1/4*v**2.
-(v - 2)*(v - 1)*(v + 4)/4
Let o(f) = f**3 - 9*f**2 + 8*f + 3. Let t be o(8). Factor -14*v + 5*v - t*v**3 - 5 + 2 + 6 + 9*v**2.
-3*(v - 1)**3
Determine w, given that -135/4*w**2 + 33*w - 3/8*w**4 - 87/8 + 12*w**3 = 0.
1, 29
Let b(h) be the second derivative of -2*h**6/15 - h**5/4 + 23*h**4/12 + h**3 - 539*h + 1. Factor b(g).
-g*(g - 2)*(g + 3)*(4*g + 1)
Let -1/10*o**2 - 1/2*o + 0 = 0. What is o?
-5, 0
Let m(i) be the second derivative of i**7/2100 - i**6/200 + i**5/200 + i**4/30 + 5*i**3/3 - 22*i. Let a(c) be the second derivative of m(c). Factor a(u).
(u - 4)*(u - 1)*(2*u + 1)/5
Let a(u) = -6*u**3 + 10*u**2 + 11. Let j(i) = -i**3 + 2*i**2 + 2. Suppose -2*r + 28 = 3*v - 30, 0 = -2*r - 8. Let m(b) = v*j(b) - 4*a(b). Factor m(q).
2*q**2*(q + 2)
Let o(l) = -165*l**4 - 430*l**3 + 1035*l**2 - 395*l. Let q(g) = 15*g**4 + 39*g**3 - 94*g**2 + 36*g. Let a(k) = 4*o(k) + 45*q(k). Factor a(p).
5*p*(p - 1)*(p + 4)*(3*p - 2)
Let x be (-1872)/(-1690) - (-2)/10 - 6/6. Suppose -6/13 + 2/13*l**2 - x*l = 0. What is l?
-1, 3
Factor -5*r**2 - 12*r**3 + 4*r**4 - r**4 - 19*r**2 - 9*r**3.
3*r**2*(r - 8)*(r + 1)
Let n(h) be the first derivative of 1/270*h**6 - 1/180*h**5 + 0*h**4 + 2/3*h**3 + 0*h**2 + 0*h + 1. Let a(r) be the third derivative of n(r). Factor a(w).
2*w*(2*w - 1)/3
Let m(v) = 44*v**3 + 450*v**2. Let p(a) = -5*a**3 - 50*a**2. Let o(d) = -6*m(d) - 52*p(d). Suppose o(x) = 0. What is x?
-25, 0
Suppose -14*k + 12*k = -80. Factor -r**2 - 20 - 16 + k.
-(r - 2)*(r + 2)
Suppose -c + 2*r = 3, -1 = -4*c + 5*r - 4. Factor 3*v**c - 3*v**2 - 2*v**2 - 9 - 6*v**2 + 21*v - 4*v**2.
3*(v - 3)*(v - 1)**2
Let r(i) = 4*i**3 + 283*i**2 - 6629*i + 12157. Let z(h) = 9*h**3 + 567*h**2 - 13260*h + 24315. Let x(c) = 15*r(c) - 7*z(c). What is v in x(v) = 0?
2, 45
Let b(o) be the third derivative of -o**7/42 - 5*o**6/8 - 13*o**5/12 + 25*o**4/8 + 35*o**3/3 + 5*o**2 - 2*o. Let b(s) = 0. Calculate s.
-14, -1, 1
Let j = -1 - -4. Let l(w) = 15*w - 10. Let s be l(1). Factor j*n**2 - n**3 + 11*n**4 - 14*n**4 + 4*n**3 - 3*n**s.
-3*n**2*(n - 1)*(n + 1)**2
Factor -560/3*w + 4/3*w**2 + 19600/3.
4*(w - 70)**2/3
Let s(h) = 7*h**5 + 15*h**4 + 19*h**3 + h**2 + 5*h - 5. Let t(o) = 6*o**5 + 14*o**4 + 18*o**3 + 2*o**2 + 4*o - 4. Let a(u) = 4*s(u) - 5*t(u). Factor a(v).
-2*v**2*(v + 1)**2*(v + 3)
Let p(c) = -4*c**3 + 190*c**2 - 52*c - 122. Let q(r) = 11*r**3 - 571*r**2 + 153*r + 365. Let y(d) = -7*p(d) - 2*q(d). Determine k, given that y(k) = 0.
-2/3, 1, 31
Let r(i) be the first derivative of i**4/18 + 16*i**3/27 - i**2/9 - 16*i/9 - 626. Factor r(p).
2*(p - 1)*(p + 1)*(p + 8)/9
Let h(v) = 16*v**2 + 32*v - 102. Let b(x) = 45*x**2 + 97*x - 305. Let o(g) = 6*b(g) - 17*h(g). Determine m, given that o(m) = 0.
3, 16
Let k be (-2 - -4 - (-732)/(-272))*1. Let j = k - -16/17. Factor -b**3 - 3/4*b**4 + 0 + j*b**2 + 1/2*b.
-b*(b + 1)**2*(3*b - 2)/4
Find i, given that -325*i**3 - 2*i**5 - 23*i**4 + 20*i - 58*i**2 + 9*i**4 + 379*i**3 = 0.
-10, 0, 1
Let a(w) be the second derivative of w**4/21 - 125*w. Let a(r) = 0. What is r?
0
Let z be (-46)/(-40) + (352/(-80) - -4). Solve -3/8*j + 3/8*j**2 - z = 0 for j.
-1, 2
Suppose -x = -t, -4*t - 100 + 79 = -11*x. Suppose -5*z - 15 = 0, i = 2*i + 2*z + 4. Factor 0*d - 2/9*d**x + 0 - 2/9*d**i.
-2*d**2*(d + 1)/9
Let p(f) be the third derivative of 1/100*f**5 + 14*f**2 + 0*f + 0 - 1/10*f**3 + 0*f**4. Factor p(i).
3*(i - 1)*(i + 1)/5
Let o = 1360 - 1358. Factor 3/7*q**o + 0*q - 3/7.
3*(q - 1)*(q + 1)/7
Suppose 26 = 2*w - 30. Factor 1 - 7 - 2 - 28*m + w*m**3 + 8*m**2.
4*(m - 1)*(m + 1)*(7*m + 2)
Let o = 3664/1146225 + 2/2325. Let x = 1004/4437 - o. Factor 0*y + 2/9*y**2 + 2/9*y**3 + 0 - x*y**4 - 2/9*y**5.
-2*y**2*(y - 1)*(y + 1)**2/9
Solve -90/7*t + 2/7*t**4 - 38/7*t**3 - 324/7 + 194/7*t**2 = 0 for t.
-1, 2, 9
Let f(v) be the second derivative of 0*v**3 - 1/108*v**4 + 0 - 23*v + 2/9*v**2. Determine k, given that f(k) = 0.
-2, 2
Let f(g) be the third derivative of -1/4*g**4 + 0 - 14*g**2 + 0*g - 1/20*g**5 - 1/2*g**3. Factor f(o).
-3*(o + 1)**2
Suppose 1/6*h**2 + 8/3 - 4/3*h = 0. Calculate h.
4
Find a, given that -a**2 - 225 + 19*a - 27*a - 22*a = 0.
-15
Let y(g) = 3*g**5 + 9*g**4 + 6*g**3 - 9*g - 3. Let i(p) be the first derivative of p**3/3 + 11. Let c(z) = -6*i(z) + y(z). Solve c(b) = 0.
-1, 1
Let d(o) = o**2 + o. Let r(l) = 21*l**3 - 1243*l**2 - 904*l + 360. Let x(j) = 2*d(j) - r(j). What is g in x(g) = 0?
-1, 2/7, 60
Let g(t) = -70*t**4 - 210*t**3 + 195*t - 85. Let a = -51 + -34. Let o(y) = -5*y**4 - 15*y**3 + 14*y - 6. Let v(k) = a*o(k) + 6*g(k). Factor v(m).
5*m*(m - 1)*(m + 2)**2
Let r be (4/2 + -2)*(-5 + 6). Let d = 20 + -17. Determine f so that -2/5*f**d + 0*f**2 - 2/5*f**4 + r + 0*f = 0.
-1, 0
Suppose -14 + 2 = -4*x. Suppose x = 2*y - 3. What is r in 36*r**y - 83*r**4 + 82*r**3 + 27*r**2 + 13*r**4 - 83*r**2 + 8*r = 0?
0, 2/7, 2/5, 1
Let 757*t + 20*t**3 + 288*t**2 + 1448*t + 132*t**2 = 0. What is t?
-21/2, 0
Let s be (32/(-40))/((-28)/10). Let x = -34/7 - -36/7. Let -4/7*d - x*d**2 - s = 0. What is d?
-1
Let b(l) = -l**2 - 13*l + 17. Let i = -11 - 3. Let p be b(i). Factor 2*m + 4 - 3*m - 9*m - 5*m**p + 8*m**2 + 3*m**3.
-2*(m - 2)*(m - 1)**2
Let b(f) = f**2 - 37*f - 160. Let i be b(41). Solve 0 + 4/7*x**2 + 0*x + 32/7*x**5 + 8*x**i + 4*x**3 = 0 for x.
-1, -1/2, -1/4, 0
Suppose -68/3*f**2 - 4/3*f**3 + 0*f + 0 = 0. Calculate f.
-17, 0
Let y(q) = q**3 + 3*q**2 - 35*q - 49. Let u be y(-7). Factor u + 1/4*t**2 + 0*t.
t**2/4
Let g(a) = -3*a**3 + 4*a**2 + a - 2. Let t be g(2). Let w(c) = 7*c**2 + 47*c. Let f(x) = -20*x**2 - 140*x. Let y(s) = t*w(s) - 3*f(s). Factor y(n).
4*n*(n + 11)
Find s, given that -5/2*s**2 - 5/4*s + 0 - 5/4*s**3 = 0.
-1, 0
Solve 3*q**2 - 174*q**3 - 3*q**2 - q + 175*q**3 = 0.
-1, 0, 1
Let s(v) = -2*v**2 + 17*v + 11. Let p be s(9). Let x be 2 + 1*2/(-1). Factor x*n