, -1
Let c be (-6)/(-2)*(-12)/(-18). Let s be c*2/(-9)*-9. Suppose -5*z**3 - 3*z**3 + 4*z**3 + s*z + 4*z**2 - 4*z**4 = 0. What is z?
-1, 0, 1
Solve 4/7*s**2 + 2166784/7 + 5888/7*s = 0.
-736
Let s = 43120 + -43116. Factor s*i - 6 - 2/3*i**2.
-2*(i - 3)**2/3
Suppose 28*s = 29*s - 25. Determine j so that -j**2 + 3*j**3 + 21*j - 2*j**2 - 9 - s*j - 11*j = 0.
-1, 3
Let y(d) = -d**2 - 6*d + 6. Let u be y(-7). Let i be u/((-10)/18) - (-27)/135. Factor 18 - 10 - 2*n**2 + 0*n**i.
-2*(n - 2)*(n + 2)
Factor -2 - 70 - 88*j**3 - 22 - 66 + 10*j**4 + 64*j + 128*j**2 + 2*j**5.
2*(j - 2)**3*(j + 1)*(j + 10)
Suppose 0 = 23*o + 1065 - 3526. Let -92*k**4 - 8 + 66*k - 64*k**2 - 201*k**3 - o*k**3 - 28*k**4 + 50*k**5 = 0. What is k?
-1, 1/5, 4
Suppose 7*b - 556 = -997. Let d be ((-18)/b)/((-102)/56 + 2). Determine m, given that d*m**3 + 8/5 - 8/5*m - 6/5*m**2 - 2/5*m**4 = 0.
-1, 1, 2
Let z(y) = -4*y**4 - 107*y**3 - 198*y**2 - 5*y - 5. Let c(k) = -10*k**4 - 266*k**3 - 492*k**2 - 12*k - 12. Let p(r) = 5*c(r) - 12*z(r). Factor p(u).
-2*u**2*(u + 2)*(u + 21)
Find z such that -375/2 + 30*z + 3/2*z**2 = 0.
-25, 5
Suppose -6*j + 2*j + 144 = 0. Let l = j - 24. Factor 18*f + l*f - 3*f**2 - 28*f + 0*f**3 + f**3.
f*(f - 2)*(f - 1)
Let c(s) be the third derivative of -s**6/300 - 143*s**5/75 - 336*s**4 + 13824*s**3/5 + 10444*s**2. Solve c(q) = 0.
-144, 2
Let o(k) be the second derivative of k**4/54 + 116*k**3/27 - 236*k**2/9 + 42*k - 14. Suppose o(g) = 0. What is g?
-118, 2
Let h = -60/2617 + 10648/7851. Factor -1/3*a**3 + 0 + 4/3*a + 1/3*a**4 - h*a**2.
a*(a - 2)*(a - 1)*(a + 2)/3
Let z(f) be the first derivative of -f**4/16 - f**3/3 + 5*f**2/8 + 434. Factor z(t).
-t*(t - 1)*(t + 5)/4
What is v in 2/5*v - 24/5 - 2/5*v**3 + 24/5*v**2 = 0?
-1, 1, 12
Let d(f) be the third derivative of 5*f**5/12 - 55*f**4/12 + 85*f**3/6 + 393*f**2 - 2. Factor d(u).
5*(u - 1)*(5*u - 17)
Let v(l) be the second derivative of l**6/288 + l**5/16 + 25*l**4/96 - 79*l**3/6 - 140*l. Let a(x) be the second derivative of v(x). Factor a(o).
5*(o + 1)*(o + 5)/4
Let d(z) = -z**3 + 24*z**2 + 52*z + 2. Let y be d(26). Let 57*n - 116*n - 2*n**y + 58*n - n**3 = 0. What is n?
-1, 0
Suppose 2*q = 2*t - 88, 8*t - 382 = -7*q + 5*q. Let o be ((-2)/18)/(t/(-188)). Factor -16/3*m**2 + 0 - 8/3*m**4 + o*m**5 + 16/9*m + 52/9*m**3.
4*m*(m - 2)**2*(m - 1)**2/9
Let x(i) be the second derivative of -i**6/120 - 3*i**5/10 - 35*i**4/8 - 100*i**3/3 - 1125*i**2/8 + 7*i + 2. Factor x(z).
-(z + 5)**3*(z + 9)/4
Determine y so that -147/2*y**3 - 87*y - 24 - 39/2*y**4 - 237/2*y**2 - 3/2*y**5 = 0.
-8, -2, -1
Let h(o) be the second derivative of -o**6/6 + 103*o**5/4 - 1015*o**4/12 + 505*o**3/6 - 11*o + 92. What is l in h(l) = 0?
0, 1, 101
Let -329*y**2 + 216 + 3*y + 644*y**2 - 318*y**2 = 0. Calculate y.
-8, 9
Let r = -12 - 33. Let u = r - -45. Determine c so that -7 + 1 + 8*c**3 + u + 8*c**2 - 8*c + 2*c**4 - 4*c**2 = 0.
-3, -1, 1
Let o(p) be the first derivative of -p**4/4 - 43*p**3/3 + 185*p**2/2 - 141*p - 369. Factor o(w).
-(w - 3)*(w - 1)*(w + 47)
Let n(w) be the first derivative of -9*w**2 + 2*w + 9/2*w**4 - 16 - 77/10*w**5 + 73/6*w**3. Solve n(y) = 0 for y.
-1, 2/11, 2/7, 1
Let d(z) = z**3 - 9*z**2 + 12*z - 28. Let b be d(8). Suppose -3 = -o, -2*h + 4*h - b*o - 372 = 0. Factor -h - 36*r**2 - 3*r**3 - 22*r**2 - 240*r + 7*r**2.
-3*(r + 1)*(r + 8)**2
Suppose -993*s + 1100 - 1100 = 0. Suppose s*h + 0 - 1/3*h**4 + 4/3*h**2 + 0*h**3 = 0. What is h?
-2, 0, 2
Let w(u) be the second derivative of 0 + 1/48*u**6 + 1/48*u**4 + 29*u + 1/15*u**5 + 7/6*u**3 + 0*u**2. Let q(j) be the second derivative of w(j). Factor q(n).
(n + 1)*(15*n + 1)/2
Let j = -297 + 73. Let c = j + 224. Suppose 0*w + 0*w**2 + 5/2*w**3 - 5*w**4 + 5/2*w**5 + c = 0. What is w?
0, 1
Let v(z) be the first derivative of -4*z**5/5 - 142*z**4 - 644. Let v(p) = 0. Calculate p.
-142, 0
Let g(j) be the second derivative of -6*j**7/7 - 46*j**6/5 + 10*j**5 + 60*j**4 - 144*j**3 + 128*j**2 - 5*j - 80. Suppose g(y) = 0. Calculate y.
-8, -2, 2/3, 1
Let g(j) be the second derivative of -4*j**6/75 - 203*j**5/50 - 883*j**4/10 - 365*j**3/3 + 125*j**2 + 140*j. Find i such that g(i) = 0.
-25, -1, 1/4
Determine n, given that 105/4 + 93/8*n + 3/8*n**3 - 117/8*n**2 + 3/8*n**4 = 0.
-7, -1, 2, 5
Let r(z) be the third derivative of 2/35*z**7 + 115*z**2 + 0 - z**4 + 0*z - 1/84*z**8 + 16/3*z**3 + 7/30*z**6 - 11/15*z**5. Find y such that r(y) = 0.
-2, -1, 1, 4
Let x(j) be the first derivative of 5*j**4/12 - 5*j**3/2 + 5*j**2 - 36*j - 59. Let k(t) be the first derivative of x(t). Find w, given that k(w) = 0.
1, 2
Let x(m) = -60*m**3 + 225*m**2 - 60*m + 20. Let v(d) = -2*d**2 - 10*d - 1. Let t(o) = -5*v(o) - x(o). Factor t(a).
5*(a - 3)*(3*a - 1)*(4*a - 1)
Suppose 5*g + 32*g - 46 = 139. Let i(p) be the third derivative of 1/240*p**g + 1/24*p**3 + 0*p + 0 - 4*p**2 - 1/48*p**4. Let i(y) = 0. Calculate y.
1
Let k be 1*300*(-20)/(-1560). Factor 20/13*n + k + 2/13*n**2.
2*(n + 5)**2/13
Let n(g) be the third derivative of -g**6/360 + 7*g**5/60 + 19*g**3/3 - 108*g**2. Let h(o) be the first derivative of n(o). Let h(w) = 0. Calculate w.
0, 14
Let c(s) = -s**2 - 10*s + 10. Let i be c(-10). Suppose -3*q - 2*q = -i. Let -10*p**q - 3 - 3*p + 7*p**2 + 1 + 2*p**2 = 0. Calculate p.
-2, -1
Suppose 21 = -2*d + 35, -2*d = -3*w - 2. Let h(f) be the third derivative of 0*f - 205/24*f**w + 5*f**3 + 13/12*f**5 + 27*f**2 + 0. Solve h(z) = 0.
2/13, 3
Let o = -165590 - -165592. Determine y so that 0 + 3/2*y**o - y - 1/2*y**3 = 0.
0, 1, 2
Let c(b) be the first derivative of -3*b**5/5 - 27*b**4/4 - 6*b**3 + 24*b**2 + 456. Let c(y) = 0. What is y?
-8, -2, 0, 1
Let x(p) = -3*p + 74. Let f be x(26). Let m be (20/(-25) - f) + -2. Find o such that -3/5*o**2 + 0 + m*o - 3/5*o**3 = 0.
-2, 0, 1
Let k = -288 - -308. Let l be 2/k - (-216)/2640. Factor l*z**3 + 2/11*z + 0 + 4/11*z**2.
2*z*(z + 1)**2/11
Let -4*w**2 - 1259 - 962 - 218*w + 1590*w - 481 - 26 = 0. What is w?
2, 341
Let g(h) = 10*h**4 - 340*h**3 - 1825*h**2 - 2635*h - 1140. Let s(a) = 5*a**4 - 169*a**3 - 913*a**2 - 1317*a - 570. Let l(x) = -2*g(x) + 5*s(x). Factor l(m).
5*(m - 38)*(m + 1)**2*(m + 3)
Suppose -p = -f, 2*p = 307*f - 304*f. Let n(x) be the third derivative of 0*x**4 - 1/300*x**5 + 33*x**2 + 0 + 2/15*x**3 + f*x. What is w in n(w) = 0?
-2, 2
Suppose 0 = 776*j - 718*j - 74 - 42. Factor -2/11*x**j + 4/11*x - 2/11.
-2*(x - 1)**2/11
Let o(r) = -r**5 - r**4 - 9*r**3 - 2*r + 1. Let z(m) = -57*m**4 - 573*m**3 - 1346*m**2 - 1231*m - 389. Let h(f) = -3*o(f) + 3*z(f). Factor h(i).
3*(i - 65)*(i + 1)**3*(i + 6)
Let c(h) = 2*h**3 - 165*h**2 + 151*h - 6. Let k(v) = -5*v**2 + v - 2. Let l(r) = c(r) - 3*k(r). Factor l(w).
2*w*(w - 74)*(w - 1)
Let f(l) = l**2 + 4*l - 1. Let u(m) = -10*m**2 - 12*m - 40. Let t(c) = -8*f(c) - u(c). Let t(n) = 0. Calculate n.
4, 6
Let j = 220 - 170. Determine p so that 6*p**2 + j - 3*p**3 + 34*p**2 + 85*p + 8*p**3 = 0.
-5, -2, -1
Let o(u) = -6*u**3 - 72*u**2 - 302*u. Let l(w) = 7*w**3 + 72*w**2 + 299*w. Let x(r) = 2*l(r) + 3*o(r). Factor x(m).
-4*m*(m + 7)*(m + 11)
Determine t so that 14/5*t + 0 - 1/5*t**2 = 0.
0, 14
Suppose -2*k - l = 6, -k + 11 = 5*l + 32. Let c be k - 5*2570/(-175). Factor 3/7*j**2 + c + 78/7*j.
3*(j + 13)**2/7
Let -319877 + 535*v - 4*v**2 - 402123 - 6*v**2 + 5*v**2 - 4335*v = 0. What is v?
-380
Let -3/5*d**2 - 183/5 - 186/5*d = 0. What is d?
-61, -1
Suppose 251/4*c + 1/4*c**3 + 22*c**2 - 85 = 0. What is c?
-85, -4, 1
Solve -20 + 51*g**2 - 124*g - 3*g + 69 + 55*g - g**3 - 27*g = 0 for g.
1, 49
Let c(m) = 2*m**3 - m**2 - 6*m. Let d(r) = 20*r**3 + 152*r**2 + 2020*r + 8712. Let l(f) = -8*c(f) + d(f). Factor l(o).
4*(o + 11)**2*(o + 18)
Let t(b) be the third derivative of -1/105*b**7 - 27*b**2 - 1/60*b**6 + 0 + 1/10*b**5 + 2/3*b**3 + 5/12*b**4 + 0*b. Solve t(w) = 0 for w.
-1, 2
Let m(s) = 115 - 22*s - 4*s**2 + 11*s**2 + 6*s. Suppose 0*c = -38*c - 418. Let q(j) = -13*j**2 + 33*j - 231. Let k(g) = c*m(g) - 6*q(g). Factor k(h).
(h - 11)**2
Suppose 86 = y - 2*w, -2*w + 25 = -7*w. Let m = 79 - y. Let 3/8*c + 0 + 7/8*c**2 + 5/8*c**m + 1/8*c**4 = 0. Calculate c.
-3, -1, 0
Let n(o) be the third derivative of -o**5/240 + o**4/48 + 369*o**2. Factor n(m).
-m*(m - 2)/4
Suppose 928/3*r + 248*r**3 - 140/3*r**4 + 4/3*r**5 - 1424/3*r**2 + 0 = 0. Calculate r.