*d + 2*u. Factor -10*t**d + 32*t - 38*t**2 - 4*t**4 - 7*t**3 + 31*t**3.
-4*t*(t - 2)**3
Suppose -3*i = -2*x + 16, -3*x + 15*i + 14 = 13*i. Solve -25*p + 24 + 4*p**x + 8*p - 13*p + 3*p**3 - p**2 = 0 for p.
-4, 1, 2
Determine t, given that 84*t - 1/2*t**2 - 3528 = 0.
84
Suppose -48 = 5*p + 3*d + d, 2 = p - 5*d. Let s be p/(-32) - (-31)/4. Suppose 2*w**3 + 2*w**2 + s*w + 4*w**2 + 2*w**2 = 0. What is w?
-2, 0
Let j(t) = 4*t**3 - 41*t**2 - 58*t - 67. Let b(s) = s**3 - 2*s**2 + 2*s - 1. Let o(x) = 7*b(x) - j(x). Suppose o(d) = 0. Calculate d.
-5, -2
Let b(y) be the third derivative of -3/280*y**7 + 0*y + 1 - 1/4*y**4 - 1/1344*y**8 + 190*y**2 - 11/60*y**5 - 1/16*y**6 + 0*y**3. Find x, given that b(x) = 0.
-3, -2, 0
Let r(j) be the second derivative of 5*j**7/63 + 221*j**6/45 + 127*j**5/15 - 89*j**4/9 - 259*j**3/9 - 43*j**2/3 - 2*j + 1054. Let r(o) = 0. Calculate o.
-43, -1, -1/5, 1
Let t(c) be the first derivative of 10*c**2 + 2/3*c**3 + 42*c + 294. Factor t(m).
2*(m + 3)*(m + 7)
Let d = -1586 - -3046. Let l be ((-2)/15)/(4 - 5842/d). Factor -48 + 128*q + 12*q**4 + 4*q**3 - l*q**2 + 4/3*q**5.
4*(q - 1)**3*(q + 6)**2/3
Let m(i) be the third derivative of -i**7/7560 - i**6/360 + 2*i**5/45 + 5*i**4/12 - i**3/3 + 40*i**2. Let z(t) be the second derivative of m(t). Factor z(n).
-(n - 2)*(n + 8)/3
Let v(i) be the second derivative of -1/48*i**4 + 1/12*i**3 + 11*i - 2 + 0*i**2 + 1/120*i**6 - 1/40*i**5. Factor v(u).
u*(u - 2)*(u - 1)*(u + 1)/4
Let o = -369 - -372. Let -34*z**4 + 20*z - 336*z**3 + 9*z**4 + 321*z**o - 5*z**5 + 25*z**2 = 0. Calculate z.
-4, -1, 0, 1
Let s be ((-62)/(-3))/(2632/84 - 35) + 8. What is q in 20/11 + 4/11*q**2 - 2/11*q**3 + s*q = 0?
-2, -1, 5
Let v(b) = -b**2 + 7*b + 18. Let k be v(9). Suppose 0*x - x + 2*c - 3 = k, -5*x - 2*c = -45. Suppose -2*j**2 - 20 - j**2 + 9*j - 27*j - x = 0. Calculate j.
-3
Suppose 98/15*y**2 - 1216/15*y - 2/15*y**3 + 224/3 = 0. Calculate y.
1, 20, 28
Let w(o) = 9*o + 6 - 16*o**2 + 10*o**2 + 4 + o**3. Let i(p) = -p**2 + 2*p + 1. Let r(k) = -28*i(k) + 4*w(k). Factor r(v).
4*(v - 1)**2*(v + 3)
Let m(l) be the second derivative of l**4/72 + 19*l**3/12 + 98*l**2/3 + 2612*l. Solve m(b) = 0 for b.
-49, -8
Let g be (-158)/(-20) - 3*6/(-180). Suppose -163*y**2 + 6*y**3 - g*y + 185*y**2 - 4*y**3 - 88 = 0. Calculate y.
-11, -2, 2
Let c = 100 - 63. Factor 57*d - 16 + 6 - c*d - 14 + 4*d**2.
4*(d - 1)*(d + 6)
Find t such that -235*t**2 + 64551*t + 58500 + 64519*t - 128470*t + 5*t**3 = 0.
-13, 30
Let z(w) be the third derivative of -w**8/168 - 13*w**7/35 - 37*w**6/20 - 109*w**5/30 - 3*w**4 + w**2 + 822. Factor z(j).
-2*j*(j + 1)**3*(j + 36)
Let f be 550/(-1925) + 1/((-7)/(-44)). Let h(c) be the third derivative of 0 + 0*c**4 + f*c**2 + 0*c + 3/40*c**6 + 1/70*c**7 + 0*c**3 + 1/10*c**5. Factor h(j).
3*j**2*(j + 1)*(j + 2)
Let p(u) be the third derivative of -3*u**8/560 + 4*u**7/75 - 2*u**6/25 - 23*u**5/150 + 19*u**4/40 - u**3/3 + 3252*u**2. Determine n, given that p(n) = 0.
-1, 2/9, 1, 5
Let p(d) = -147*d - 145. Let f be p(-1). Let u(v) be the second derivative of -1/10*v**4 + 0 + 9/10*v**f - 28*v - 1/2*v**3. Let u(h) = 0. What is h?
-3, 1/2
Let s be 8/(-2) - (15 + -322 - 6). Let c = -307 + s. Solve -8/11*w**3 + 2/11*w**4 + 0 + 10/11*w**c - 4/11*w = 0 for w.
0, 1, 2
Let s(p) be the second derivative of -p**5/20 - 8*p**4/15 + 47*p**3/10 - 281*p. Factor s(r).
-r*(r - 3)*(5*r + 47)/5
Let c(q) be the second derivative of q**7/3360 + 3*q**6/320 + q**5/8 + 205*q**4/12 + 30*q - 3. Let b(p) be the third derivative of c(p). Factor b(g).
3*(g + 4)*(g + 5)/4
Let w(v) be the second derivative of -v**6/150 + v**4/20 + v**3/15 + 37*v - 2. Suppose w(p) = 0. What is p?
-1, 0, 2
Let c(p) be the third derivative of 0 + 13/270*p**5 - 1/108*p**6 - 1/27*p**4 + p - 17*p**2 - 4/27*p**3. Suppose c(y) = 0. What is y?
-2/5, 1, 2
Let z(o) be the second derivative of o**5/12 + 65*o**4/36 + 40*o**3/9 - 160*o**2 + 5237*o. Factor z(p).
5*(p - 3)*(p + 8)**2/3
Suppose 0 = -5*z - 16 + 1, -5*u = z + 118. Let k = 27 + u. Factor 23 - 23 + 27*i**3 + 21*i**2 + 3*i**5 + 15*i**k + 6*i.
3*i*(i + 1)**3*(i + 2)
Suppose -26*v + 972 = 10*v. Let o(w) = w**3 - 25*w**2 - 58*w + 110. Let g be o(v). Factor 2/5*q + 0 - 1/5*q**g.
-q*(q - 2)/5
Let q(u) be the third derivative of -u**5/180 - 461*u**4/36 - 307*u**3/6 - 574*u**2. Determine z, given that q(z) = 0.
-921, -1
Let u = 10210/7 - 1456. Find n, given that -u - n + 1/7*n**2 = 0.
-2, 9
Let t be (748/85 - (3 + 7))*(-13)/39. Suppose -t*p**2 - 4 - 14/5*p = 0. Calculate p.
-5, -2
Let y = 113 + -102. Suppose 5*q + 4*g = 22, q - y = 3*q - 5*g. Factor 1/4*a**3 + 1/4*a**4 - 1/4*a + 0 - 1/4*a**q.
a*(a - 1)*(a + 1)**2/4
Determine c, given that -736164 - 1895*c - 1252*c - 1081*c - 4*c**2 + 796*c = 0.
-429
Let c(x) = 2*x**2 + x - 1. Let g(p) = -8 - 8*p + 10 - 6*p**3 + 8*p**3 - 6*p - 14*p**2. Let n(h) = 2*c(h) + g(h). Let n(s) = 0. Calculate s.
-1, 0, 6
Suppose 8 + 34 = 14*y. Factor 13*p**2 - 12*p**y - 4*p**5 + 25*p**2 - 34*p**2 + 12*p**4.
-4*p**2*(p - 1)**3
Let m(a) be the first derivative of -104/3*a**3 - 2*a**6 - 16*a**2 - a**4 + 15 + 0*a + 56/5*a**5. Let m(c) = 0. Calculate c.
-1, -1/3, 0, 2, 4
Let u be 72/(-240)*(2 + 79/(-27)). Let h(r) be the first derivative of 0*r**2 - 16/45*r**5 + u*r**4 + 4/27*r**6 + 0*r - 2/27*r**3 + 12. Solve h(v) = 0.
0, 1/2, 1
Let b(m) = m**5 - 5*m**4 + 7*m**3 - 5*m**2 + m - 1. Let v be (0 + (-6)/8)*(7 + -11). Let c(t) = t**4 - t**3 + t**2 + 1. Let x(a) = v*b(a) + 3*c(a). Factor x(s).
3*s*(s - 1)**4
Let h(b) be the second derivative of -b**7/168 - 3*b**6/10 + 49*b**5/20 - 181*b**4/24 + 95*b**3/8 - 41*b**2/4 + 4*b + 3. Suppose h(j) = 0. Calculate j.
-41, 1, 2
Solve 1/2*q**5 + 3/2*q**4 - q**3 + 3/2 + 1/2*q - 3*q**2 = 0.
-3, -1, 1
Suppose -2*s = 4*n - 20, -n + 3879*s - 3876*s - 2 = 0. Factor 4/3*g**3 + 0 - 8/3*g**2 - n*g.
4*g*(g - 3)*(g + 1)/3
Let f(i) be the second derivative of -1/80*i**5 + 0*i**2 - 5/48*i**4 - 2 + 8*i - 1/4*i**3. What is t in f(t) = 0?
-3, -2, 0
Let y be (((-510)/357)/((-30)/(-756)))/(-21). Factor 8/7*z + 26/7*z**3 + y*z**4 + 24/7*z**2 + 0 + 2/7*z**5.
2*z*(z + 1)**2*(z + 2)**2/7
What is v in 42*v**2 + 412/5*v + 0 + 2/5*v**3 = 0?
-103, -2, 0
Suppose -18*z**3 - 14478*z**2 + 533*z + 7738*z + 1387*z - 1610 = 0. What is z?
-805, 1/3
Let h(n) be the second derivative of 5*n**8/336 + n**7/14 - n**5/3 + 7*n**2 + n + 3. Let z(y) be the first derivative of h(y). Suppose z(t) = 0. What is t?
-2, 0, 1
Suppose -5*p - 1 = 3*j - 53, 3*j + 28 = 5*p. What is z in p*z**2 + 12 + 23*z**2 - z**3 - 31*z**2 + 13*z = 0?
-3, -1, 4
Suppose -13*v + 12*v + 73 = 2*r, 3*r - 4*v - 115 = 0. Factor 3*x**4 - x - r*x - 28*x**2 + 14*x - 6*x**3 + x**5.
x*(x - 3)*(x + 2)**3
Let o(j) be the first derivative of j**6/1260 + j**5/210 - 2*j**4/21 - 26*j**3/3 - 85. Let d(s) be the third derivative of o(s). Factor d(b).
2*(b - 2)*(b + 4)/7
Let p(j) = 158*j - 466. Let r be p(3). Let d(g) be the first derivative of 0*g + 14/5*g**5 - r*g**2 - 14 - 15*g**4 + 24*g**3. Solve d(k) = 0 for k.
0, 2/7, 2
Let q(t) = -22. Let o(m) = -27*m**2 - 377*m + 124. Let k(h) = -o(h) - 5*q(h). Let k(z) = 0. What is z?
-14, 1/27
Suppose 9*f - 6*f + 7 = 4*v, 0 = -3*f - 5*v + 29. Let n be (-3)/((-3)/4 - 0). Let -11/3*x**n + 4/3*x - 20/3*x**f - 2/3*x**5 - 11/3*x**2 + 4/3 = 0. Calculate x.
-2, -1, 1/2
Let b(q) = -15*q**5 + 36*q**4 - 33*q**3 - 36*q**2. Let i(x) = -3*x**5 + 7*x**4 - 7*x**3 - 7*x**2. Let u(m) = -5*b(m) + 24*i(m). Suppose u(f) = 0. What is f?
-1, 0, 1, 4
Find r such that 3*r**2 + 5*r**2 + 165*r - 3*r**2 - 81 + 42 - 131 = 0.
-34, 1
Let m(h) be the second derivative of -9*h**6/40 + 3*h**5/2 - 25*h**4/8 + 20*h**2 + 6*h - 2. Let n(f) be the first derivative of m(f). Factor n(c).
-3*c*(3*c - 5)**2
Let z(t) be the first derivative of t**7/840 - t**6/90 + t**5/40 - 112*t**3/3 + 85. Let l(d) be the third derivative of z(d). Factor l(y).
y*(y - 3)*(y - 1)
Solve -2/3*q**3 - 2512/3*q - 1672/3 - 842/3*q**2 = 0 for q.
-418, -2, -1
Let i(j) = 17*j**3 + 366*j**2 + 711*j + 320. Let m(n) = -49*n**3 - 1097*n**2 - 2132*n - 965. Let x(u) = -17*i(u) - 6*m(u). What is z in x(z) = 0?
-70, -1
Factor 1/6*n**4 + 11/3*n**3 + 0*n - 23/6*n**2 + 0.
n**2*(n - 1)*(n + 23)/6
Let d(j) be the first derivative of -j**4/28 + 47*j**3/7 + j**2/14 - 141*j/7 + 894. Suppose d(y) = 0. 