 = 2*r - r + 4, -4*r - m = 5*b. Factor 771*c - 3*c**b - 766*c + 8*c**3 - 10*c**2.
5*c*(c - 1)**2
Suppose 4*f - 12 = 2*t, 2*f - 6*t = -2*t. Factor -n**3 - 1040*n - f*n**2 + 0*n**3 + 1036*n.
-n*(n + 2)**2
Let p(b) be the first derivative of -b**3/3 + 13*b**2/2 + 44*b + 42. Let d(i) = -i**2 + i - 1. Let v(s) = -2*d(s) - p(s). Factor v(l).
3*(l - 7)*(l + 2)
Let t(j) = 13*j**2 + 1150*j + 330625. Let m(f) = 22*f**2 + 2300*f + 661250. Let w(y) = 6*m(y) - 10*t(y). Suppose w(k) = 0. Calculate k.
-575
Let j(s) be the first derivative of 19*s**2 + 382*s - 361. Let r be j(-10). Factor -7/9*o - 4/9*o**r - 1/3.
-(o + 1)*(4*o + 3)/9
Let j(q) be the second derivative of -q**7/42 - 3*q**6/10 + 21*q**5/20 - 11*q**4/12 - q - 4. Factor j(h).
-h**2*(h - 1)**2*(h + 11)
Let d = -50219/60 + 837. Let j(m) be the second derivative of 0 + 1/10*m**2 - d*m**4 - 11*m - 1/100*m**5 + 1/30*m**3. Factor j(o).
-(o - 1)*(o + 1)**2/5
Let p(a) be the first derivative of -4/3*a - 10/3*a**2 - a**4 - 4 - 28/9*a**3. Find d such that p(d) = 0.
-1, -1/3
Let m be (-3 + 6 + -5)*-2 - 3. Let q be (-76 + (-2)/m)*2/(-6). Factor v**2 - 3*v**2 - 4*v + 28*v**3 - q*v**3.
2*v*(v - 2)*(v + 1)
Let d(x) be the third derivative of -2*x**7/525 + 2*x**6/15 - x**5/25 - 142*x**4/15 - 152*x**3/3 - 3*x**2 + 108. Determine z, given that d(z) = 0.
-2, 5, 19
Let h(m) be the second derivative of -1/130*m**5 + 1/78*m**4 - 1/195*m**6 + 2*m + 0*m**2 - 18 + 1/39*m**3. Factor h(c).
-2*c*(c - 1)*(c + 1)**2/13
Let n(k) be the second derivative of 89/100*k**5 - 8/3*k**3 - 3/70*k**7 - 1 + 36*k + 17/50*k**6 - 14/5*k**2 - 23/60*k**4. What is r in n(r) = 0?
-1, -2/3, 1, 7
Let i(a) = a**2 - 15*a - 13. Let x be i(16). Suppose -10*k**2 - 365*k**x - 3*k + 359*k**3 + 2*k**5 + 2*k**4 - k = 0. Calculate k.
-1, 0, 2
Let i = 2008183/2 + -1004091. Solve c**4 + i*c - c**3 + 1/2*c**5 - 2*c**2 + 1 = 0.
-2, -1, 1
Let l(a) = a**3 + 6*a - 5. Let c be l(3). Suppose c = 4*j + 28. Suppose 7*y**3 - 2 - 12*y**j - 3*y**3 + 8*y - 4*y**2 + 6*y**4 = 0. What is y?
-1, 1/3, 1
Let c(s) = 4*s - 76. Let o be (-588)/(-30) - ((-24)/10 - -2). Let u be c(o). Solve -2/7*q + 2/7*q**3 + 2/7*q**u + 4/7 - 6/7*q**2 = 0.
-2, -1, 1
Factor 3*q**2 - 161932*q + 333494*q - 161908*q + 7766643.
3*(q + 1609)**2
Let s(f) be the first derivative of 5*f**6/6 + 65*f**5 - 345*f**4/2 - 1330*f**3/3 + 685*f**2/2 + 1005*f - 10432. Determine b so that s(b) = 0.
-67, -1, 1, 3
Let d be (12/(-14))/((-3)/2). Let h be (24/(-7))/((-17 + -31)/24). Factor d + h*j**2 - 16/7*j.
4*(j - 1)*(3*j - 1)/7
Let h = 2011 + -2011. Let u(y) be the first derivative of -2/75*y**3 + 1 - 2/25*y**2 + h*y. Factor u(c).
-2*c*(c + 2)/25
Let s(o) be the second derivative of -o**5/110 + 19*o**4/33 + 1116*o. Factor s(r).
-2*r**2*(r - 38)/11
Suppose 854 = 5*r + 9*r. Determine o, given that -o - 2*o**2 - 31 - 12*o - 15*o + r = 0.
-15, 1
Let s(v) be the second derivative of -v**5/50 + 8*v**4/15 + v**3/15 - 16*v**2/5 - 2*v + 3055. Factor s(k).
-2*(k - 16)*(k - 1)*(k + 1)/5
Let u(j) be the third derivative of j**5/660 + j**4/24 - 7*j**3/11 + 1797*j**2. Suppose u(c) = 0. Calculate c.
-14, 3
Suppose 8*u - 40 = -12*u. Factor -5*s**3 + 15*s + 49*s**2 - 10*s - 44*s**u - 5.
-5*(s - 1)**2*(s + 1)
Solve -62/5*u**4 - 32/5*u**3 + 0 - 22/5*u**5 + 0*u + 8/5*u**2 = 0.
-2, -1, 0, 2/11
Let m(h) be the third derivative of 3/14*h**7 + 7/12*h**5 + 5/2*h**4 + 90*h**2 - h**6 + 0 - 10/3*h**3 + 0*h. Determine q, given that m(q) = 0.
-2/3, 1/3, 1, 2
Let t be (-2 - -5) + (-12)/(-6). Let b be (-3)/(-4 + 19/t). Let -84*x**5 + 10*x**2 + 99*x**5 - x - 40*x**4 + b*x**3 + x = 0. Calculate x.
-1/3, 0, 1, 2
Find z, given that -6/13*z**2 + 216/13 + 2/13*z**3 - 72/13*z = 0.
-6, 3, 6
Let l be -1 + 1 + 6 + -5. Let f(r) = r**2 + 4*r - 8. Let x(j) = -j + 1. Let k(y) = l*f(y) + 4*x(y). Factor k(u).
(u - 2)*(u + 2)
Let q = 2713967/5 - 542793. Suppose q*j**2 + 12/5 - 2*j = 0. What is j?
2, 3
Let u(g) be the first derivative of g**6/2 - 9*g**5/5 - 3*g**4/4 + 3*g**3 - 918. Let u(d) = 0. Calculate d.
-1, 0, 1, 3
Determine y, given that 35/4*y**4 - 65/4*y**3 + 225/4*y - 195/4*y**2 + 0 = 0.
-15/7, 0, 1, 3
Suppose 46*h = -1690 + 7072. Suppose 133 = 8*q + h. Factor -4 - 18/5*a + 2/5*a**q.
2*(a - 10)*(a + 1)/5
Let x = -2 + -2. Let g be 5/20 - 71/x. Let -2*a**2 + 10*a**4 - 16*a**4 + 9*a**5 - 6 - 5*a + 14*a + 14*a**2 - g*a**3 = 0. Calculate a.
-1, 2/3, 1
Let p(x) be the first derivative of 2/3*x**3 - x**4 + 2/5*x**5 + 100 + 0*x + 0*x**2. What is o in p(o) = 0?
0, 1
Let l be (20/(-14))/((140/364)/(210/(-195))). Factor l*n - 1/2*n**4 - 3*n**3 + 1/2*n**5 + 0 + 2*n**2.
n*(n - 2)**2*(n + 1)*(n + 2)/2
Suppose -3*r = 4*p + 3, -3*p + 4*p - 5 = 5*r. Let t(j) be the second derivative of 11*j - 1/6*j**4 + p*j**2 + 1/3*j**3 + 0. Find n, given that t(n) = 0.
0, 1
Let d(h) = 1186*h - 120970. Let u be d(102). Find a such that 53/2*a - 5/2*a**u + 11 = 0.
-2/5, 11
Let p be (-5)/(-3)*(31/5 + -5). Suppose -p*u + k + 4 = -4*k, 5*u + 2*k - 10 = 0. Factor -2/3*l**u + 0 - 1/6*l.
-l*(4*l + 1)/6
What is z in 288/5 + 4*z**3 - 144/5*z + 32/5*z**4 + 4/5*z**5 - 40*z**2 = 0?
-6, -3, -2, 1, 2
Let c(u) be the third derivative of -u**5/390 + 523*u**4/39 - 1094116*u**3/39 + 3905*u**2. Factor c(z).
-2*(z - 1046)**2/13
Let i(m) = -1353*m - 21646. Let s be i(-16). Factor -42*z - 3/2*z**s - 81/2.
-3*(z + 1)*(z + 27)/2
Let s = 3/44536 - -1514185/578968. Factor 2/13*q**3 + 160/13*q + 128/13 + s*q**2.
2*(q + 1)*(q + 8)**2/13
Let f = -1927 + 1948. Let o be (-16)/12*(-14)/f. Factor 0 + 2/9*z**4 - o*z + 8/9*z**3 - 2/9*z**2.
2*z*(z - 1)*(z + 1)*(z + 4)/9
Let c be ((6 - (-84)/(-14))/6)/(-1). Let q(o) be the third derivative of -1/28*o**4 + 1/210*o**5 + 2/21*o**3 + o + c - 17*o**2. Factor q(t).
2*(t - 2)*(t - 1)/7
Let d(t) = -t**2 - 11*t - 15. Let r be d(-9). Suppose r*k - k = 6. Factor -4*u**k + 3*u**2 - 2*u**3 - u**2 - u + 5*u**3.
-u*(u - 1)**2
Suppose 21*l - 107*i - 937 = -103*i, -5*l + 217 = -4*i. Suppose -5/4*x**4 + 105*x - 305/4*x**2 + 35/2*x**3 - l = 0. Calculate x.
1, 6
Find d, given that -176/3*d + 42*d**4 + 764/3*d**3 - 1976/3*d**2 + 128/3 = 0.
-8, -2/7, 2/9, 2
Let b(o) = -28*o - 501. Let a be b(-18). Let r be 12 + (-2872)/280 + a/(-5). Factor -2/7*g**2 - r*g - 8/7.
-2*(g + 2)**2/7
Let b(i) be the first derivative of -i**5 - 35*i**4/4 + 45*i**3 - 145*i**2/2 + 50*i + 2699. Factor b(q).
-5*(q - 1)**3*(q + 10)
Solve 495*t + 3296*t + 25*t**3 + 531*t - 1260*t**2 - 4400 + 472*t + 5*t**4 - 214*t = 0 for t.
-20, 2, 11
Let o = 749410/11 + -68128. Factor 20/11 - 14/11*a + o*a**2.
2*(a - 5)*(a - 2)/11
Let j(x) be the first derivative of 2/85*x**5 + 73 + 0*x + 6/17*x**3 + 0*x**2 + 3/17*x**4. Suppose j(y) = 0. Calculate y.
-3, 0
Let p be (15/5)/((-76)/285) - -12. Suppose -6 = 2*j + 5*z, j - 4*z = 6*j - 2. Solve -1/4*d**j - d - p = 0 for d.
-3, -1
Let k(w) be the first derivative of 7*w**4/20 + 152*w**3/15 + 803*w**2/10 - 242*w/5 - 1126. Find l, given that k(l) = 0.
-11, 2/7
Factor 44/5*a + 408/5 - 4/5*a**2.
-4*(a - 17)*(a + 6)/5
Determine f, given that 37/6*f**3 - 7/6*f**4 - 55/3 + 263/6*f + 139/2*f**2 = 0.
-5, -1, 2/7, 11
Let k = 301615/342 + -15865/18. Factor 2/19*v**4 - k*v**3 + 40/19*v + 0 - 8/19*v**2.
2*v*(v - 5)*(v - 2)*(v + 2)/19
Factor -1048/7 - 2/7*a**2 - 150*a.
-2*(a + 1)*(a + 524)/7
Let c(x) = -17*x**2 - 73*x - 237. Let w(v) = 30*v**2 + 145*v + 475. Let i(m) = 5*c(m) + 3*w(m). What is a in i(a) = 0?
-8, -6
Let u be (36/20)/((-9)/(-30)). Let t(x) be the first derivative of 0*x + 1/2*x**4 + 10/9*x**3 + 2/3*x**2 - 1/9*x**u + 5 - 2/15*x**5. Solve t(i) = 0 for i.
-1, 0, 2
Find y such that -31/3*y**2 + 230/3*y - 200/3 + 1/3*y**3 = 0.
1, 10, 20
Solve -2050*v + 13532*v**2 + 2045 - 6759*v**2 - 6768*v**2 = 0.
1, 409
Let m(v) be the second derivative of v**6/345 - 2*v**5/115 - 61*v**4/138 + 4*v**3/69 + 60*v**2/23 - 1248*v. Determine z so that m(z) = 0.
-6, -1, 1, 10
Let o be 1/2 - (-1020)/136 - 12/2. Factor 968/5 + 2/5*h**o + 88/5*h.
2*(h + 22)**2/5
Let f(o) be the first derivative of -5*o**3/12 - 2995*o**2/4 - 1794005*o/4 - 444. Factor f(p).
-5*(p + 599)**2/4
Let p(r) = -9*r**2 - 1136*r - 7. Let k(x) = 5*x**2 + 560*x + 4. Let f(i) = -7*k(i) - 4*p(i). Suppose f(g) = 0. What is g?
-624, 0
Let h = 948 - 879. Determine k so that 240*k**2 - 16*k**5 - k**5 + 4*k**5 + k**5 - h*k - 59*k - 100*k**4 = 0.
-8, -2, 0, 2/3,