v - 7*v**d + 5*v**4 - 3*v**3 + 5*v**3 - 15*v**2 = 0 for v.
-2, 1
Let n(r) = -513*r - 109. Let l be n(-1). Suppose -382*a + l*a = 88. Factor 30/7*u**2 - 2/7*u - 96/7*u**3 - 128/7*u**a + 0.
-2*u*(u + 1)*(8*u - 1)**2/7
Factor 1/9*x**2 - 10/9 - x.
(x - 10)*(x + 1)/9
Let i(y) = -2*y**2 - 116*y + 1058. Let d be i(-66). Let -16/3 - 1/3*m**3 + 7/3*m**d - 8/3*m = 0. What is m?
-1, 4
Let x(q) be the first derivative of q**4/22 - 108*q**3/11 - q**2/11 + 324*q/11 - 1683. Factor x(u).
2*(u - 162)*(u - 1)*(u + 1)/11
Let f(j) be the first derivative of -64 + 4/5*j**2 + 2/25*j**5 - 2/5*j**4 - 2/15*j**3 + 0*j. Factor f(a).
2*a*(a - 4)*(a - 1)*(a + 1)/5
Suppose -44*t + 90 = -47*t. Let x be 24/t - ((-189)/60)/3. Determine q, given that 3/8*q - 3/8*q**3 + 1/8*q**4 + 1/8*q**2 - x = 0.
-1, 1, 2
Let g = -95223/8 + 11903. Determine j so that -g*j**2 - 18 - 3*j = 0.
-12
Let i(x) be the first derivative of x**6/3 + 24*x**5/5 - 21*x**4 + 88*x**3/3 - 15*x**2 + 1792. Solve i(k) = 0 for k.
-15, 0, 1
Find z such that -2/7*z**3 - 24/7*z + 144/7 - 20/7*z**2 = 0.
-6, 2
Factor -666/7 - 2/7*v**3 + 18/7*v + 74/7*v**2.
-2*(v - 37)*(v - 3)*(v + 3)/7
Let v = -11 + 11. Suppose -4*p = -s + 31 + 33, 4*p - 16 = v. Let -30*w**3 - s*w**5 - 15*w**3 + 10*w + 95*w**5 - 15*w**2 - 5*w**4 = 0. What is w?
-1, 0, 1/3, 2
Let h = 35254/9915 + -2/29745. Let 1892/9*u - 688/9*u**3 + 1174/3*u**2 + 242/9 + h*u**4 = 0. What is u?
-1/4, 11
Let a(z) = z**5 + 4*z**4 - z**3 - 4*z + 1. Let i(v) = -3*v**5 + 31*v**4 - 73*v**3 + 37*v**2 + 8*v - 2. Let o(c) = -10*a(c) - 5*i(c). Find t such that o(t) = 0.
0, 1, 37
What is t in 38*t**3 - 738*t**2 + 795*t**2 + 229*t + 7*t**4 - 211*t = 0?
-3, -2, -3/7, 0
Let i(o) be the first derivative of 3*o**4/8 - 689*o**3 + 8259*o**2/4 - 2064*o + 6877. Factor i(z).
3*(z - 1376)*(z - 1)**2/2
Suppose -25*f + 5*w - 25 = -30*f, 0 = 2*f - 3*w - 25. Let s(k) be the first derivative of -5/3*k**3 - f + 0*k + 0*k**2 - 5/8*k**4. Factor s(t).
-5*t**2*(t + 2)/2
Let z(s) be the second derivative of s**4/78 - 1634*s**3/39 + 667489*s**2/13 + 383*s - 3. Factor z(x).
2*(x - 817)**2/13
Find m, given that 4 - 1056*m**2 + 1052 - 5674*m - 4*m**3 + 5678*m = 0.
-264, -1, 1
Let y(c) be the first derivative of -14*c**6/3 + 8*c**5 + 51*c**4 - 328*c**3/3 - 88*c**2 + 288*c - 1917. Determine m so that y(m) = 0.
-18/7, -1, 1, 2
Let v(a) = 4*a**2 - 880*a - 869. Let m(x) = -22*x**2 + 5280*x + 5217. Let k(z) = 6*m(z) + 34*v(z). Find i, given that k(i) = 0.
-439, -1
Let c(b) = 202*b - 1007. Let n be c(5). Factor 15/7*a + 0 + 33/7*a**2 + n*a**3 + 3/7*a**4.
3*a*(a + 1)**2*(a + 5)/7
Factor -20*y - 16*y**2 - 2*y**3 - 12*y - 378 + 378.
-2*y*(y + 4)**2
Let v(g) be the third derivative of -16*g**2 + 0*g**4 + 1/252*g**8 + 0*g**3 + 2/3*g**5 + 1 - 1/90*g**6 - 4/21*g**7 + 0*g. Determine f, given that v(f) = 0.
-1, 0, 1, 30
Let k be (2/(-10))/((-5859)/525 + (-55)/(-5)). Suppose 0 + 15/2*v + 35/4*v**2 + k*v**3 = 0. What is v?
-6, -1, 0
Let w = -721 - -740. Suppose 11 = -2*i - y + w, i + 7 = 5*y. Suppose 5/2*q + 1 + 1/2*q**i + 2*q**2 = 0. Calculate q.
-2, -1
Let v(z) be the second derivative of -z**6/30 + z**5/5 + z**4/4 - 7*z**3/3 + 4*z**2 + z + 255. Factor v(l).
-(l - 4)*(l - 1)**2*(l + 2)
Factor -184*h**3 + 253 - 197*h**3 - 495*h**3 + 20*h**4 - 253 + 3024*h**2 + 640*h.
4*h*(h - 40)*(h - 4)*(5*h + 1)
Determine k, given that -2/3*k**2 - 140454 + 612*k = 0.
459
Factor 0 - 2/15*j**2 - 2/15*j**3 + 2/15*j**5 + 2/15*j**4 + 0*j.
2*j**2*(j - 1)*(j + 1)**2/15
Suppose 4*v + 0*v = -4*b - 56, -v = 5*b + 66. Let d = -12 - b. Factor 47*q - 11 - 39*q + 4*q**2 - d.
4*(q - 1)*(q + 3)
Let y = 247 - 167. Let o = y - 80. Find r, given that 0 + 2/9*r**3 - 2/9*r + o*r**2 = 0.
-1, 0, 1
Let y(m) be the third derivative of -m**8/112 - 31*m**7/35 - 59*m**6/40 + 61*m**5/10 - 2*m**2. Suppose y(u) = 0. Calculate u.
-61, -2, 0, 1
Let s(f) be the third derivative of -f**2 - 1/40*f**5 - 11/96*f**4 - 1/4*f**3 + 69 - 1/480*f**6 + 0*f. Factor s(j).
-(j + 1)*(j + 2)*(j + 3)/4
Find r such that -45 + 1491*r**2 - 83 - 1495*r**2 - 200 - 172*r = 0.
-41, -2
Let t(d) = -5*d**5 + 3*d**4 + 8*d**3 - 2*d. Let f(j) = 79*j**3 - 134*j**3 - 20*j**4 + 35*j**5 + 5*j + 10*j. Let a(l) = -2*f(l) - 15*t(l). Factor a(k).
5*k**3*(k - 2)*(k + 1)
Let l(o) be the second derivative of 3*o**5/20 + 297*o**4/4 + 29403*o**3/2 + 2910897*o**2/2 + 1647*o. Factor l(h).
3*(h + 99)**3
Suppose -3375 + 2807 + 10796 = 266*s - 7062. Factor -5/2*y**2 + s*y - 125/2.
-5*(y - 25)*(y - 1)/2
Let j(t) = 5*t**3 - 149*t**2 + 1157*t - 2631. Let a(v) = -30*v**3 + 895*v**2 - 6945*v + 15785. Let g(l) = 6*a(l) + 35*j(l). Solve g(i) = 0 for i.
5, 21
Let w(t) be the second derivative of -t**5/40 - 117*t**4/8 + t**3/12 + 351*t**2/4 - 3*t + 60. Factor w(y).
-(y - 1)*(y + 1)*(y + 351)/2
Factor -1/7*n**3 - 12/7*n + 10/7*n**2 - 72/7.
-(n - 6)**2*(n + 2)/7
Let p(l) be the second derivative of -l**6/6 + 27*l**5/2 - 3905*l**4/12 + 1170*l**3 - 1690*l**2 - 516*l. Factor p(h).
-5*(h - 26)**2*(h - 1)**2
Let k = 34435/310077 - -2/34453. Let x(w) be the first derivative of 0*w - 14 - k*w**2 - 1/45*w**5 - 1/12*w**4 + 5/27*w**3 + 1/54*w**6. Factor x(p).
p*(p - 1)**3*(p + 2)/9
Suppose -3*m = -2*j - 7, -7 = -5*m + 2*j + 6. Factor -n**2 - 18 + 25*n + 8*n - 17*n**2 + m*n**3.
3*(n - 3)*(n - 2)*(n - 1)
Let p(o) be the first derivative of -3/8*o**4 + 3/20*o**5 - 38 - 21/4*o**2 - 15/4*o - 3*o**3. Factor p(r).
3*(r - 5)*(r + 1)**3/4
Let r(x) be the second derivative of x**6/45 - 61*x**5/30 + 337*x**4/6 - 699*x**3 + 4212*x**2 - 9490*x. Find f such that r(f) = 0.
4, 9, 39
Let i(d) be the third derivative of d**7/1050 + 58*d**6/75 + 13222*d**5/75 - 9048*d**4/5 + 36504*d**3/5 - d**2 - 1559. Factor i(x).
(x - 2)**2*(x + 234)**2/5
Let i = 14 + -14. Suppose i = -4*w + 6*w - 30. Let o(r) = -12*r**3 + 15*r**2 - 18*r - 15. Let l(b) = b**3 - b**2 + b + 1. Let d(u) = w*l(u) + o(u). Factor d(y).
3*y*(y - 1)*(y + 1)
Let l(z) be the third derivative of -z**5/20 + 87*z**4/8 + 230*z**3 + z**2 - 2486. What is v in l(v) = 0?
-5, 92
Let s(q) be the third derivative of -q**6/40 - 63*q**5/20 - 119*q**4/8 + 183*q**3/2 + 3*q**2 + 200*q - 1. Determine v, given that s(v) = 0.
-61, -3, 1
Suppose 3*d + 542 = 2*g + 126, -2*g + 2*d = -412. Let v = 614/3 - g. What is j in -v*j - 8/9*j**2 - 2 = 0?
-3/2
Let b(i) be the third derivative of 0*i**3 - 25*i**2 + 1/960*i**6 + 0 - 1/240*i**5 + 4*i - 1/64*i**4. Factor b(s).
s*(s - 3)*(s + 1)/8
Let j(t) = 6*t + 92. Let r be j(-16). Let f be (27 - 30)/(r/5). Solve -3/2*d + 0 + f*d**3 - 9/4*d**2 = 0.
-2/5, 0, 1
Suppose -752 = -4*v + 3*m + 810, -3*v = m - 1178. Suppose 8*b**4 - v + 238*b - 206*b + 444*b + 21*b**5 - 20*b**5 - 134*b**2 - 23*b**3 = 0. What is b?
-7, 2
Let h(j) be the third derivative of -j**8/560 + j**7/112 - j**6/80 - 151*j**3/6 - 163*j**2. Let k(p) be the first derivative of h(p). Factor k(i).
-3*i**2*(i - 1)*(2*i - 3)/2
Let b be (-2)/(2 + 1836/754 + -4). Let j = -45/41 - b. Find f, given that -j*f**4 + 0 + 9/2*f**3 + 27/2*f**2 + 1/2*f**5 - 27*f = 0.
-2, 0, 3
Let y(m) be the second derivative of 158*m - 1/2*m**2 - 1/3*m**3 + 1/120*m**6 + 0 - 1/16*m**4 + 1/40*m**5. Find t such that y(t) = 0.
-2, -1, 2
Let o(g) = 13*g - 244. Let s = 234 - 215. Let v be o(s). Find n, given that 30*n**2 + 20 - 25/4*n**v - 45*n = 0.
4/5, 2
Let d(f) be the third derivative of f**6/420 - 13*f**5/105 + 17*f**4/7 - 24*f**3 - 669*f**2. Factor d(g).
2*(g - 14)*(g - 6)**2/7
Suppose -57*n + 2*b - 4 = -54*n, 4*n - 8*b = -32. Determine v, given that -2/11*v + 6/11*v**4 - 2/11*v**5 + 4/11*v**3 - 12/11*v**n + 6/11 = 0.
-1, 1, 3
Let d = 576830 - 576827. Suppose -3/5*g**3 + 24/5*g + 36/5 - d*g**2 = 0. What is g?
-6, -1, 2
Let s(n) be the first derivative of -n**5/140 - 3*n**4/28 - 5*n**3/14 + n**2 - 29*n - 28. Let f(p) be the second derivative of s(p). Factor f(v).
-3*(v + 1)*(v + 5)/7
Let g(f) = f**4 + f**3 + f**2. Let o(j) = 40*j**4 + 104*j**3 + 252*j**2 - 288*j. Let i(d) = -36*g(d) + o(d). Suppose i(m) = 0. Calculate m.
-12, -6, 0, 1
Let q(c) = -2*c**3 - 226*c**2 - 6044*c + 6264. Let t(d) = 6*d**3 + 677*d**2 + 18133*d - 18794. Let k(w) = -11*q(w) - 4*t(w). Let k(l) = 0. Calculate l.
-56, 1
Let r(n) be the first derivative of -2*n - 49/6*n**3 + 49 - 7*n**2. Factor r(b).
-(7*b + 2)**2/2
Let c(k) be the first derivative of k**6/48 - k**5/80 - 5*k**3