 12*v**2 - 16*v.
(v - 2)**4/2
Let c(g) be the first derivative of -g**3/2 - 549*g**2/2 - 100467*g/2 + 1342. Solve c(z) = 0 for z.
-183
Suppose 2*x = 1 + 3. Suppose 11*n = 10*n + 4. Factor 6 + 2*r**x - n*r + r**2 - 7*r**2 - 2 + 4*r**3.
4*(r - 1)**2*(r + 1)
Let x(q) = 10*q**2 - 951*q + 479. Let p(d) = -30*d**2 + 2855*d - 1440. Let t(n) = 3*p(n) + 10*x(n). Find c, given that t(c) = 0.
1/2, 94
Find b, given that -55/2*b - 1/4*b**3 - 111/4*b**2 + 0 = 0.
-110, -1, 0
Suppose -286*r + 1235 - 558 = -467. Let a(d) be the second derivative of -1/18*d**r + 19*d + 0*d**3 + 2/45*d**6 + 0*d**2 - 1/30*d**5 + 0. Factor a(h).
2*h**2*(h - 1)*(2*h + 1)/3
Let 120 + 144*m + 62/3*m**2 = 0. What is m?
-6, -30/31
Let u(r) = -24*r**4 - 20*r**3 + 44*r**2 - 8*r + 8. Let o = 65 + -57. Let p(n) = 16*n**4 + 13*n**3 - 29*n**2 + 5*n - 5. Let s(b) = o*p(b) + 5*u(b). Factor s(x).
4*x**2*(x - 1)*(2*x + 3)
Suppose 103*p - 112 = -5*l + 97*p, 0 = -2*l + 5*p - 81. Factor 49/4 - 7/2*c + 1/4*c**l.
(c - 7)**2/4
Let x(r) be the third derivative of -r**5/60 - 50*r**4/3 + 401*r**3/6 - 3217*r**2. Determine t so that x(t) = 0.
-401, 1
Suppose 0 = -3*j - 11*q + 10*q + 82, -j = q - 26. Find f, given that 3*f - 23*f + 11*f**2 - j*f - 4*f**3 - 39*f**2 = 0.
-4, -3, 0
Let y(j) be the second derivative of j**7/70 - 19*j**6/25 - 543*j**5/50 - 79*j**4/5 + 373*j**3/2 - 345*j**2 - 2*j + 208. Determine f, given that y(f) = 0.
-5, 1, 46
Let u(a) be the second derivative of -41/140*a**5 - 10/7*a**2 + 1/105*a**6 + 0 + 127*a + 41/42*a**3 + 3/14*a**4. Let u(w) = 0. What is w?
-1, 1/2, 1, 20
Let g(m) be the first derivative of -2/21*m**3 + 26/7*m**2 - 119 - 338/7*m. Factor g(a).
-2*(a - 13)**2/7
Suppose 2*h + b = -5, -2*h - 3*b = -6*h - 25. Let o be 1 - 1*h/4. Determine w, given that 4*w**4 - 13*w**2 + 26 - 10 + w**o - 16*w + 8*w**3 = 0.
-2, 1
Let d(y) be the first derivative of -3*y**5/40 + y**4/2 - y**3/4 - 9*y**2/2 - 33*y - 52. Let g(l) be the first derivative of d(l). Factor g(a).
-3*(a - 3)*(a - 2)*(a + 1)/2
Let l = 238 + -273. Let j be 12/(-14) - 100/l. Factor -2/7*z**j + 0 - 8/7*z.
-2*z*(z + 4)/7
Let w(h) be the second derivative of 4/15*h**3 + 24/5*h**2 + 111*h + 0 - 1/12*h**4 - 1/100*h**5. Suppose w(s) = 0. What is s?
-4, 3
Let f(g) be the second derivative of 31*g**5/5 + 2*g**4/3 - 62*g**3/3 - 4*g**2 + 3016*g. Solve f(w) = 0 for w.
-1, -2/31, 1
Suppose 64/3*z**2 + 0*z + 21*z**3 - 1/3*z**4 + 0 = 0. Calculate z.
-1, 0, 64
Suppose 913 = 2*w - 5*k, 18*w + 2*k + 1818 = 22*w. Factor 452*b**3 - 5*b - 901*b**3 + w*b**3.
5*b*(b - 1)*(b + 1)
Factor 38/3*v + 0 - 116/3*v**2 + 2*v**3.
2*v*(v - 19)*(3*v - 1)/3
Let v(y) = -104*y**2 + 316*y - 1160. Let u(l) = 11*l**2 - 35*l + 129. Let x(m) = -28*u(m) - 3*v(m). Find n such that x(n) = 0.
-11, 3
Let y = -26027/498 + 4490/83. Let y*x**2 - 43/3*x - 8/3 = 0. What is x?
-2/11, 8
Let b = 107 - 961/9. Let x = -1428494/99 + 158746/11. Solve -80/9*p**2 - x*p**4 + 0 + b*p**5 + 32/9*p + 22/3*p**3 = 0 for p.
0, 1, 4
Suppose 1154*o - 1331716 - 1/4*o**2 = 0. What is o?
2308
Suppose 195*t + 1751*t**3 - 583*t**3 + 200*t**2 - 581*t**3 - 582*t**3 = 0. What is t?
-39, -1, 0
Let o(i) be the second derivative of -i**6/30 + 3*i**5/5 + 31*i**4/4 - 730*i**3/3 + 1650*i**2 + 2541*i. Determine k, given that o(k) = 0.
-11, 3, 10
Let z(t) be the first derivative of -2*t**5/55 + t**4/11 + 16*t**3/33 + 481. Let z(j) = 0. What is j?
-2, 0, 4
Suppose 2/15*d**2 + 22/15 + 8/5*d = 0. What is d?
-11, -1
Let h(n) = 671*n - 9. Let r be h(-2). Let x = 4061/3 + r. Factor -1/3*m**3 + x*m**2 - 20/3*m + 16/3.
-(m - 4)*(m - 2)**2/3
Let o(r) be the second derivative of r**6/195 + 108*r**5/65 + 2555*r**4/13 + 341056*r**3/39 - 1167051*r**2/13 + 1098*r - 1. Solve o(t) = 0 for t.
-73, 3
Let f = -4/5 - -9/10. Let h = 305 - 303. Find z, given that 0*z + 0 + 1/10*z**4 - 1/10*z**5 - f*z**h + 1/10*z**3 = 0.
-1, 0, 1
Let o(g) be the first derivative of -g**4/20 + 46*g**3/15 - 32*g**2 + 608*g/5 - 1098. Determine d, given that o(d) = 0.
4, 38
Let m = -11213 + 11218. Let g(j) be the second derivative of 5/24*j**4 - 1/16*j**m + 0*j**3 - 20*j + 0*j**2 + 0. Let g(h) = 0. Calculate h.
0, 2
Let h(y) be the third derivative of y + 0 - 23/105*y**7 + 80/3*y**4 - 100/3*y**3 - 361/30*y**5 + 163/60*y**6 + 1/168*y**8 + 13*y**2. Factor h(o).
2*(o - 10)**2*(o - 1)**3
Let j be (4/(-10))/(209/(-264)) - (-9 - 4498/(-494)). Factor -4/5 - 6/5*i + j*i**3 + 0*i**2.
2*(i - 2)*(i + 1)**2/5
Let p(d) be the second derivative of d**6/15 - 21*d**5/10 + 20*d**4 - 208*d**3/3 + 325*d - 6. Factor p(i).
2*i*(i - 13)*(i - 4)**2
Let a be -4 + 390/(-15) + 0/(-2). Let y = a - -32. Find n such that 6*n**3 - 2*n**y - 3*n**2 - n**3 = 0.
0, 1
Let i be 0/4 + (1 - 1). Suppose i = -y - 19 + 61. Find f such that y + 5*f**2 - 25*f + 5*f**3 - 20*f**2 - 52 + 5*f**4 = 0.
-1, 2
Let p(q) = q**2 + 4*q - 2202. Let y be p(-49). Suppose 0 + 3/2*c**5 + 3/2*c - 4*c**4 - 3*c**y + 4*c**2 = 0. What is c?
-1, -1/3, 0, 1, 3
Let h(t) = t**4 + t**3 - t**2 - t - 1. Let b(l) = 25*l**4 - 15*l**3 + 305*l**2 - 285*l - 660. Let a(p) = b(p) - 30*h(p). Factor a(k).
-5*(k - 3)**2*(k + 1)*(k + 14)
Let u(k) = 2 - 424*k**2 - 424*k**2 + 847*k**2 - 9*k. Let o be u(0). Factor -1/3*f**o + 4/3*f + 5/3.
-(f - 5)*(f + 1)/3
Let q(x) be the second derivative of x**4/102 + 7*x**3/51 - 30*x**2/17 + 1503*x - 2. Determine w, given that q(w) = 0.
-10, 3
Determine q, given that 1/9*q**4 + 0 - 46/9*q**3 + 7840/9*q + 224/9*q**2 = 0.
-10, 0, 28
Let r(p) be the third derivative of p**7/42 + p**6/24 - 7*p**5/12 - 65*p**4/24 - 5*p**3 + 28*p**2 + 47*p. What is b in r(b) = 0?
-2, -1, 3
Factor -7280*g + 3*g**3 - 9*g**2 + 792 - 7397*g + 14287*g.
3*(g - 12)*(g - 2)*(g + 11)
Let w(j) be the second derivative of -j**7/210 - j**6/15 + 7*j**5/50 + 7*j**4/15 - 53*j**3/30 + 11*j**2/5 + 142*j - 31. Determine l, given that w(l) = 0.
-11, -2, 1
Let z = -1371327/2 - -685695. Factor -3/4*m**2 - 39/4*m - z.
-3*(m + 6)*(m + 7)/4
Suppose -j = -2*f - 537, -6*f - 2677 = -5*j - 4*f. Let u = -531 + j. Determine a so that 0*a**2 + 0*a**3 + 0*a + 1/7*a**5 + 1/7*a**u + 0 = 0.
-1, 0
Suppose 5*t - 13 - 7 = 0. Suppose 357*q - 907 = 5149 - 344. Factor -1713*c**5 + 8*c**2 + 1717*c**5 - q*c**3 - t + 12*c - 4.
4*(c - 1)**3*(c + 1)*(c + 2)
Let j = 79372 - 79369. Solve 19/4*r**4 + 241/4*r**2 + 1/4*r**5 + 16 + 115/4*r**j + 52*r = 0 for r.
-8, -1
Let r(t) be the second derivative of -80*t**4 - 2/15*t**6 - 1 - 2048*t**2 - 49*t - 1792/3*t**3 - 26/5*t**5. Find w such that r(w) = 0.
-8, -2
Suppose -176*u**2 - 168*u**2 + 342*u**2 + 66*u - 324 = 0. Calculate u.
6, 27
Let m(w) be the third derivative of 0*w**3 - 6*w - 1/600*w**6 - 3/100*w**5 + 4*w**2 - 1/15*w**4 + 0. Factor m(v).
-v*(v + 1)*(v + 8)/5
Let w(j) be the first derivative of 1/60*j**5 - 1/6*j**2 + 5 + 2*j + 1/36*j**4 - 1/18*j**3. Let z(c) be the first derivative of w(c). Factor z(f).
(f - 1)*(f + 1)**2/3
Let s be (((-144)/104)/(-9))/(2 - 46/26). What is i in -1/6*i**5 + 0 + 0*i + 0*i**3 + 0*i**2 - s*i**4 = 0?
-4, 0
Suppose -6*z + 4*q + 19 = -z, 3*z + 3*q = 6. Let f be (-4)/z*(30/(-4))/5. Factor -116*l**2 - 4 + 2*l + 2*l + 115*l**f.
-(l - 2)**2
Let -20*x**2 + 146 + 20 - 20 + 30 + 50 - 2258*x = 0. Calculate x.
-113, 1/10
Suppose -2*r**3 - 88/3*r**2 + 0 - 160/3*r + 7/6*r**4 + 1/6*r**5 = 0. Calculate r.
-4, 0, 5
Let f(s) = 5*s**2 - 16*s + 100. Let u(v) = 14*v**2 - 48*v + 300. Let b(k) = -11*f(k) + 4*u(k). Let m(l) = -l. Let x(a) = -5*b(a) - 20*m(a). Factor x(d).
-5*(d - 10)**2
Let m = 389580 - 389566. Factor m*u - 1/2*u**3 + 6*u**2 + 0.
-u*(u - 14)*(u + 2)/2
Factor 219 - 76 - 86*k + 2*k**2 + 66 + 31.
2*(k - 40)*(k - 3)
Determine d so that 443/2*d - 219/2*d**2 - 1/2*d**5 - 189/8*d**4 + 60 - 1183/8*d**3 = 0.
-40, -6, -2, -1/4, 1
Suppose 175*r - 170*r + 3 = 18. Let f(a) be the second derivative of 5/36*a**4 + 1/4*a**5 - 19*a + 0*a**2 + 0 - 5/9*a**r. Let f(h) = 0. What is h?
-1, 0, 2/3
Let q = -59 - -61. Let -14*u - 25 - 16*u + 2295*u**2 - 2300*u**q = 0. What is u?
-5, -1
Let k = 1171324/5 + -234262. Suppose k*z - 16/5 + 2/5*z**2 = 0. What is z?
-8, 1
Let u(q) = -29*q + 140. Let c be u(4). Let 60*h**3 - 16*h - c*h + 25*h**4 + 5*h**2 + 6*h + 4*h = 0. Calculate h.
-2, -1, 0, 3/5
Suppose k - 4 = 0, 7*l + 23*k = 26*k + 16. What is y in 2*y - y**4 - l + 5*y**2 - 5/2*y**3 + 1/2*y**5 = 0?
-2, -1, 1, 2
Let x(q