 -53590 + 53592. Find q, given that -3/4 + 1/2*q + 1/4*q**i = 0.
-3, 1
Let x = -11 - -10. Let r(a) = -a**2 + a. Let c(z) be the second derivative of -35*z**4/12 + 2*z. Let b(q) = x*c(q) + 30*r(q). Determine i, given that b(i) = 0.
-6, 0
Suppose 2/5*y**3 + 2*y**2 + 8/5*y + 0 = 0. What is y?
-4, -1, 0
Let a be 3/(-24)*-19 + 1230/(-3280). Let d(f) be the second derivative of -1/15*f**3 - 32*f + 0*f**a + 1/100*f**5 + 1/60*f**4 + 0. Factor d(r).
r*(r - 1)*(r + 2)/5
Let m be (-60)/(-864)*6*9/15. Solve -n + 3/4 + m*n**2 = 0 for n.
1, 3
Let a(q) = q + 1. Let v(r) be the first derivative of r**3/3 + 7*r**2/2 - r + 13. Let c(l) = -4*a(l) - 4*v(l). Determine y, given that c(y) = 0.
-8, 0
Let c(j) be the third derivative of 9*j**5/20 + 613*j**4/4 + 136*j**3 - 3*j**2 - 1534*j. Factor c(k).
3*(k + 136)*(9*k + 2)
Let i(x) = -84*x**3 - x**2 + 2*x - 2. Let g be i(1). Let r = 89 + g. Factor -7/2*u**5 + 0 - u**2 - 11/2*u**3 - 8*u**r + 0*u.
-u**2*(u + 1)**2*(7*u + 2)/2
Let o = -21 + 24. Suppose 5*j = 2*k - k + 29, -o*j = 4*k + 1. Solve -40 - j*n + 40 - 3*n**2 - n = 0.
-2, 0
Let n(r) = -4*r**4 - 9890*r**3 - 6*r**2 + 3*r - 9. Let m(z) = 7*z**4 + 9890*z**3 + 8*z**2 - 4*z + 12. Let l(a) = -3*m(a) - 4*n(a). Determine v so that l(v) = 0.
0, 1978
Let g(d) = -d**2 + d + 1. Let t(z) = z**2 - 15*z - 46. Let r(j) = -4*g(j) - t(j). Let l(q) = -2*q**2. Let k(f) = 6*l(f) + 3*r(f). Factor k(p).
-3*(p - 14)*(p + 3)
Let o be ((-64)/80)/(2/10). Let l be 2/o*416/(-312). Suppose -4/3*r**3 - 2*r**2 + 8/3 + 8/3*r + l*r**4 = 0. Calculate r.
-1, 2
Let f be ((-4)/(-16)*-12)/(3/(-8)). Suppose 3*v - 2*x - f = 0, -v - 175 = -x - 179. Factor -9/2*b**2 - 1/2*b**3 + 0*b + v.
-b**2*(b + 9)/2
Let o be (2/1050*7)/(32/12). Let a(w) be the third derivative of -7/100*w**5 + 0*w + o*w**6 + 4*w**2 + 0 - 9/10*w**3 + 3/8*w**4. Find h such that a(h) = 0.
1, 3
Let t be (6/5)/(374/935). Let o(k) be the second derivative of 0*k**2 + 8/3*k**4 + k**5 + 3*k + 2/15*k**6 + 0 + 8/3*k**t. Factor o(d).
4*d*(d + 1)*(d + 2)**2
Let p be (-20)/6*((-165)/1375 + 0). Find u, given that 0 + 4*u - p*u**2 = 0.
0, 10
Suppose -4*m = -20 + 60. Let t(x) = x**3 + 11*x**2 + 10*x + 3. Let q be t(m). Factor 2*z**5 - 2957 - 6*z**2 - 2*z**4 + 2957 - 10*z**q.
2*z**2*(z - 3)*(z + 1)**2
Suppose -f = -4*i - 19, -5*i = f + 103 - 77. Let r be -12*(-2)/(-4) + (-46)/i. Factor 0 - 44/5*q**3 + 0*q + r*q**4 - 12/5*q**2.
4*q**2*(q - 3)*(4*q + 1)/5
Let n(l) = -l**3 - 2*l**2 + 15*l - 2. Let t be n(-5). Let k be (3 - 6)*t/21. Let -k*x**3 + 0 + 0*x - 6/7*x**2 = 0. What is x?
-3, 0
Let z(s) be the first derivative of -4*s**5/15 - s**4/3 + s**3/3 + s**2/3 - s/3 + 1432. Find v, given that z(v) = 0.
-1, 1/2
Let p(m) be the second derivative of 1/6*m**6 - 85/12*m**4 + 30*m**3 + 0*m**5 + 12 + 7*m - 50*m**2. Factor p(j).
5*(j - 2)**2*(j - 1)*(j + 5)
Let l(c) be the first derivative of 8 - 18*c - 57/4*c**2 - 7/2*c**3. Factor l(z).
-3*(z + 1)*(7*z + 12)/2
Let o(z) be the third derivative of -z**5/100 - 7*z**4/10 - 26*z**3/5 - 25*z**2 + 7*z. Factor o(m).
-3*(m + 2)*(m + 26)/5
Let q(r) be the third derivative of 0 - 3/2*r**4 - 20/3*r**3 + 0*r - 1/2100*r**7 + 129*r**2 - 3/200*r**6 - 121/600*r**5. Find j such that q(j) = 0.
-5, -4
Let w(u) be the third derivative of 2*u**7/315 - 31*u**6/90 + 59*u**5/15 + 1207*u**4/18 - 5780*u**3/9 - 1629*u**2. Suppose w(r) = 0. Calculate r.
-5, 2, 17
Let n(w) be the first derivative of 3*w**4/4 - 1916*w**3/3 + 152320*w**2 + 409600*w - 7239. Factor n(y).
(y - 320)**2*(3*y + 4)
Factor 3/7*w**4 - 96/7*w + 0 - 9/7*w**3 - 108/7*w**2.
3*w*(w - 8)*(w + 1)*(w + 4)/7
Factor -52*d**4 - 14*d**2 + 4*d**5 - 46*d**2 + 191*d**3 + 71*d - 359*d - 19*d**3.
4*d*(d - 8)*(d - 3)**2*(d + 1)
Let b be -2 + 74/16 - (-2862)/7632. Factor 26/9*g + 1/9*g**2 - b.
(g - 1)*(g + 27)/9
Let f(o) be the first derivative of o**6/9 + 22*o**5/15 + 8*o**4/3 - 80*o**3/3 - 48*o**2 + 288*o + 107. What is d in f(d) = 0?
-6, -3, 2
Let g(u) be the third derivative of -u**6/320 - 89*u**5/80 + 181*u**4/16 - 91*u**3/2 + 79*u**2 + 11*u. Find z, given that g(z) = 0.
-182, 2
Let m(a) = a**3 - 81*a + 2. Let x be m(9). Let t(q) = q + 12. Let u be t(-9). Let 2*y + 2*y**4 + 0 - 3/2*y**u - 2*y**x - 1/2*y**5 = 0. Calculate y.
-1, 0, 1, 2
Let s(h) be the third derivative of -h**8/1008 - h**7/63 - h**6/90 + 41*h**5/90 - 107*h**4/72 + 20*h**3/9 + 1824*h**2. Factor s(r).
-(r - 1)**3*(r + 5)*(r + 8)/3
Let h(a) be the third derivative of -a**5/20 - 19*a**4/4 + 40*a**3 - 897*a**2. Factor h(i).
-3*(i - 2)*(i + 40)
Let c = 57 - 46. Suppose -3*j = c*j - 28. Factor -t**j + 24*t - 86*t**3 + 62*t**3 - 3*t**4 + 21 - 18*t**2 + t**2.
-3*(t - 1)*(t + 1)**2*(t + 7)
Let l(f) be the third derivative of 3*f**6/160 + 151*f**5/240 - 49*f**4/24 + 3*f**3/2 + 3606*f**2. Factor l(h).
(h - 1)*(h + 18)*(9*h - 2)/4
Let f be (-7387)/14525*-1 - 2/25. Factor 9/7*c - f*c**2 + 0.
-3*c*(c - 3)/7
Suppose 0*c + z - 15 = c, -18 = 2*c + 2*z. Let n be (-189)/196*c - 7. Factor 32/7*i**2 - 10/7*i**4 + 8/7*i**3 + 2/7*i**5 + n - 64/7*i.
2*(i - 2)**3*(i - 1)*(i + 2)/7
Let q = -146525/2 + 71724. Let o = q - -1543. Factor -o - 11/2*d**3 + d**4 + 15/2*d + 11/2*d**2.
(d - 3)**2*(d + 1)*(2*d - 1)/2
Suppose -9*p - 2332 = -53*p. Factor -161 + p + 3281*g - 4*g**2 - 3169*g.
-4*(g - 27)*(g - 1)
Solve -14/11*s - 2/11*s**2 + 12/11 + 4/11*s**3 = 0.
-2, 1, 3/2
Let z(c) be the second derivative of c**5/20 + 5*c**4/4 - 11*c**3/2 + 17*c**2/2 + 67*c - 1. Let z(a) = 0. What is a?
-17, 1
Let x(c) = -29*c**4 + 9*c**3 - 175*c**2 + 213*c + 63. Let i(f) = 4*f**4 + f**2 - f + 1. Let o(q) = -36*i(q) - 4*x(q). Determine l, given that o(l) = 0.
-6, -2/7, 2, 3
Let t(j) be the second derivative of -j**7/210 + 4*j**6/75 + j**5/25 - 8*j**4/15 - 429*j + 1. Find x, given that t(x) = 0.
-2, 0, 2, 8
Let v(b) = 11*b**3 - 10*b**2 + 15*b + 9. Let k(a) = -7*a**3 - 15*a**3 - 5*a**3 + 1 - a + 26*a**3. Let d(z) = -18*k(z) - 2*v(z). Find m such that d(m) = 0.
-1, 3
Let t be (6/8)/(11/44). Let y be -39*(8/t + -3). Let -3*q**2 + 5*q + 7*q**2 + 3*q**3 + q - y*q**2 = 0. Calculate q.
0, 1, 2
Let r(m) be the third derivative of 0 + 4*m**4 + 3/5*m**5 + 32/3*m**3 + 2*m + 1/30*m**6 + 128*m**2. Solve r(q) = 0 for q.
-4, -1
Let k(o) be the first derivative of 33 - 48/5*o + 14/5*o**2 - 4/15*o**3. Find n, given that k(n) = 0.
3, 4
Let r(b) = -b**3 + 9*b**2 + 9*b + 19. Let m be r(10). Let c = 71 + m. Factor c*p**3 + 0*p**5 + 5*p**5 - 78*p**3 + 7*p**4.
p**3*(p + 1)*(5*p + 2)
Suppose 0 = -5*g - 4*a + 43, 2*g + g + 5*a = 31. Suppose g*b - 1 = 55. Factor 8*w**2 - 4*w**3 - 90*w + 74*w + b*w**2.
-4*w*(w - 2)**2
Let j(x) be the first derivative of x**4/36 + x**3/6 - 2*x**2/3 - 48*x + 62. Let p(l) be the first derivative of j(l). Solve p(m) = 0.
-4, 1
Let x(z) be the second derivative of -z**7/21 + 23*z**6/144 + z**5/24 - 161*z**4/12 + 281*z. Let m(f) be the third derivative of x(f). Factor m(y).
-5*(y - 1)*(24*y + 1)
Let t(c) = -104*c**3 + 2836*c**2 - 17086*c + 572. Let f(u) = 201*u**3 - 5672*u**2 + 34171*u - 1142. Let k(q) = -2*f(q) - 5*t(q). Suppose k(h) = 0. Calculate h.
2/59, 12
Let b be 1*3*(-3 + 4). Let u be (1071/918)/(2 - (-4)/(-16)). Solve -2 - 2/3*x + 2*x**2 + u*x**b = 0 for x.
-3, -1, 1
Let s(z) be the first derivative of z**6/135 - z**5/9 + 7*z**4/54 + 2*z**3/3 - 85*z + 178. Let q(k) be the first derivative of s(k). Factor q(b).
2*b*(b - 9)*(b - 2)*(b + 1)/9
Let b(f) be the first derivative of -68 + 1/6*f**3 - 4*f - 1/2*f**2. What is m in b(m) = 0?
-2, 4
Let o(l) be the second derivative of 3*l**7/56 + 146*l**6/5 + 453961*l**5/80 + 3244865*l**4/8 - 1094275*l**3/2 + 274625*l**2 - 153*l. Let o(z) = 0. What is z?
-130, 1/3
Let l(c) be the first derivative of -3*c**5/5 + 105*c**4/2 + 292*c**3 + 444*c**2 + 286. Factor l(r).
-3*r*(r - 74)*(r + 2)**2
Suppose -2*z = 3*z - 15, 5*p = 4*z - 657. Let f be 6/((-108)/p) - (-1)/(-6). Factor -4*u**3 - 10*u**4 + 10*u**4 - 3*u**2 + f*u**3 + 6*u**4.
3*u**2*(u + 1)*(2*u - 1)
Let j(f) be the first derivative of -3*f**4/4 + 140*f**3/3 + 298*f**2 + 608*f - 73. Suppose j(m) = 0. What is m?
-2, 152/3
Let l(o) = 2*o**4 - o**3 + o**2 - o - 1. Let a(p) = 17*p**2 + 4*p**4 - 12817*p - 19 + 12804*p + 11*p**3 + 0. Let c(x) = 2*a(x) - 2*l(x). Factor c(k).
4*(k - 1)*(k + 1)*(k + 3)**2
Let c(v) be the third derivative of -v**5/20 - 15*v**4/8 - 28*v**3 - 531*v**2.